a sheep started a journey at 6: 30pm on Monday 6th January and finished 68 hours later find the time, date and the day when the journey finished

Answers

Answer 1

The time, date and the day when the journey finished is 2:30 pm on Thursday 9th January

Time

Time journey started = 6: 30pm on Monday 6th January

Time taken for journey = 68 hours

24 hours = 1 day

68 hours = 68/24

= 2 days and 20 hours

6;30 pm on Monday 6th January + 2 days and 20 hours

= 2:30 pm on Thursday 9th January

Learn more about time:

https://brainly.com/question/25800303

#SPJ1


Related Questions

Standard deviation of the number of aces. Refer to Exercise 4.76. Find the standard deviation of the number of aces.

Answers

The standard deviation of the number of aces is approximately 0.319.

To find the standard deviation of the number of aces, we first need to calculate the variance.

From Exercise 4.76, we know that the probability of drawing an ace from a standard deck of cards is 4/52, or 1/13. Let X be the number of aces drawn in a random sample of 5 cards.

The expected value of X, denoted E(X), is equal to the mean, which we found to be 0.769. The variance, denoted Var(X), is given by:

Var(X) = E(X^2) - [E(X)]^2

To find E(X^2), we can use the formula:

E(X^2) = Σ x^2 P(X = x)

where Σ is the sum over all possible values of X. Since X can only take on values 0, 1, 2, 3, 4, or 5, we have:

E(X^2) = (0^2)(0.551) + (1^2)(0.384) + (2^2)(0.057) + (3^2)(0.007) + (4^2)(0.000) + (5^2)(0.000) = 0.654

Plugging in the values, we get:

Var(X) = 0.654 - (0.769)^2 = 0.102

Finally, the standard deviation is the square root of the variance:

SD(X) = sqrt(Var(X)) = sqrt(0.102) = 0.319

Therefore, the standard deviation of the number of aces is approximately 0.319.

Learn more about standard deviation here

https://brainly.com/question/475676

#SPJ11

angiotensin ii produces a coordinated elevation in the ecf volume by all of the following mechanisms except; triggering the secretion of aldosterone
causing the release of ADH decreasing sodium loss in urine
stimulating thirst

Answers

Triggering the secretion of vasopressin is not a mechanism by which angiotensin II elevates ECF volume.

Angiotensin II is a hormone that plays a crucial role in regulating blood pressure and fluid balance in the body. It is produced by the renin-angiotensin-aldosterone system (RAAS) in response to low blood pressure or decreased blood flow to the kidneys.

When released, angiotensin II acts on various targets to increase blood pressure and restore fluid balance. One of its effects is to stimulate the secretion of aldosterone from the adrenal glands, which promotes salt and water retention in the kidneys.

This, in turn, increases extracellular fluid (ECF) volume. Additionally, angiotensin II can also stimulate thirst, which encourages the intake of fluids, further increasing ECF volume. However, angiotensin II does not directly cause the release of vasopressin, which also promotes water retention.

To learn more about : volume

https://brainly.com/question/463363

#SPJ11

Write fraction in Ascending Order :

Answers

Answer:

In ascending order: 1/2, 3/5, 6/11, 8/9

Find the singular value decomposition of the following matrices. You only need to do one from the first row and one from the second row. But you should probably do all four for extra practice!!

Answers

The singular value decomposition of the given matrices.

How can we perform singular value decomposition?

Singular value decomposition (SVD) is a factorization method used to decompose a matrix into three separate matrices: U, Σ, and V^T. The U matrix represents the left singular vectors, Σ is a diagonal matrix containing the singular values, and V^T represents the right singular vectors.

To find the singular value decomposition, we can apply the SVD algorithm to each of the given matrices. By performing SVD, we can analyze the structure and properties of the matrices, such as their rank, null space, and condition number. The decomposition can also be used for various applications, including dimensionality reduction, image compression, and solving linear equations.

Learn more about Singular value decomposition (SVD

brainly.com/question/30007171

#SPJ11

does anyone know why I can't move passed ambitious level in Brainly I have 4222 points and 8 crowns

Answers

Answer: I know why its because

you see your acount on the right corner and you see how many crowns and points you have welll you need this all the way filled up the thing around your name like mine its almost full

Step-by-step explanation:

Complete parts a) and b). Let y=[4 5 1], u1=[2/3 2/3 1/3], u2=[-2/3 1/3 2/3] and W=Span{u1,u2}.
Let y =| 5|, u1= , u2 =| 글 1, and w-span (u1,u2). Complete parts(a)and(b). a. Let U = | u 1 u2 Compute U' U and UU' | uus[] and UUT =[] (Simplify your answers.) b. Compute projwy and (uuT)y nd (UU)y (Simplify your answers.)

Answers

We are asked to compute the matrix U, formed by concatenating u1 and u2 as columns, and to compute U'U and UUT. Additionally, we are asked to compute the projection of y onto the subspace spanned by u1 and u2, as well as (uuT)y and (UU)y.

We can compute the matrix U by concatenating u1 and u2 as columns. Thus, we have:

U = | 2/3 -2/3 |

| 2/3 1/3 |

| 1/3 2/3 |

Next, we can compute U'U and UUT as follows:

U'U = | 2 0 |

| 0 2 |

UUT = | 8/9 4/9 2/9 |

| 4/9 4/9 4/9 |

| 2/9 4/9 8/9 |

For the second part of the problem, we can compute the projection of y onto the subspace spanned by u1 and u2 using the formula,

[tex]projwy[/tex]= (y'u1/u1'u1)u1 + (y'u2/u2'u2)u2. Plugging in the given values, we get:

[tex]projwy[/tex]= | 22/9 |

| 20/9 |

| 4/9 |

We can also compute [tex](uuT)y[/tex]and (UU)y as follows:

[tex](uuT)y[/tex]= [tex]uuT y[/tex]= | 10 |

| 0 |

| 0 |

(UU)y = UU (4 5 1)' = | 14 |

| 14 |

| 7 |

We also computed the projection of y onto the subspace spanned by u1 and u2, as well as [tex](uuT)y[/tex] and (UU)y.

Learn more about spanned here:

https://brainly.com/question/30298083

#SPJ11

using the taylor remainder estimation theorem, what is the maximum possible error of using the first three nonzero terms from the maclaurin series for cos x to approximate cos 2?

Answers

The maximum possible error is 2/3.

The Maclaurin series for cosine function is given by:

[tex]cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...[/tex]

Using the first three nonzero terms, we get:

[tex]cos(x) ≈ 1 - x^2/2! + x^4/4![/tex]

To estimate the error, we can use the Taylor remainder formula:

[tex]Rn(x) = f(n+1)(c) * (x-a)^(n+1) / (n+1)![/tex]

where f(n+1)(c) is the (n+1)th derivative of f evaluated at some value c between a and x.

In this case, we have:

f(x) = cos(x)

a = 0

n = 2

x = 2

To find an upper bound for the error, we need to find the maximum value of the absolute value of the third derivative of cosine function over the interval [0,2]. Since the third derivative of cosine is -cos(x), the maximum value of its absolute value is 1.

Therefore, we have:

[tex]|R2(2)| ≤ 1 * (2-0)^(2+1) / (2+1)![/tex]

≤ 4/3!

≤ 2/3

So the maximum possible error is 2/3.

To know more about Maclaurin series refer to-

https://brainly.com/question/31745715

#SPJ11

A camera shop stocks seven different types of batteries, one of which is type a7b. suppose that the camera shop has only ten a7b batteries but at least twenty of each of the other types. Now, choose the correct answer for the following question - How many ways can a total inventory of twenty batteries be distributed among the six different types?

Answers

The total number of ways to distribute a total inventory of twenty batteries among the six different types is 10 x 120,332,228 = 1,203,322,280.

To determine how many ways a total inventory of twenty batteries can be distributed among the six different types, we need to use the concept of combinations. We know that there are seven different types of batteries, but we are given that there are only ten a7b batteries and at least twenty of each of the other types. This means that the maximum number of batteries that can be used from the other six types is 20 x 6 = 120.

So, to distribute a total of twenty batteries among the six types, we need to consider the number of a7b batteries and the number of batteries from the other six types. Since we are given that there are only ten a7b batteries, we can distribute them in 10 different ways among the six types.

For the other six types, we have a maximum of 120 batteries to use. To distribute 20 batteries among these six types, we can use the formula for combinations, which is nCr = n! / r!(n-r)!. In this case, we have 120 batteries to choose from, and we want to choose 20 batteries, so the formula becomes 120C20 = 120! / 20!(120-20)! = 120,332,228 ways.

Therefore, the total number of ways to distribute a total inventory of twenty batteries among the six different types is 10 x 120,332,228 = 1,203,322,280.

To know more about number of ways, refer to the link below:

https://brainly.com/question/30894993#

#SPJ11

Consider two circular swimming pools. Pool A has a radius of 44 feet, and Pool B has a diameter of 27. 02 meters. Complete the description for which pool has a greater circumference. Round to the nearest hundredth for each circumference.
1 foot = 0. 305 meters.
,question,
The diameter of Pool A is what meters. The diameter of Pool B v is greater, and the meters. Circumference is what by what meters​

Answers

Pool A has a diameter of approximately 88 feet, and Pool B has a diameter of approximately 27.02 meters. The circumference of Pool A is greater than the circumference of Pool B by approximately 77.22 meters.

In summary, Pool A has a diameter of approximately 88 feet, while Pool B has a diameter of approximately 27.02 meters. The circumference of Pool A is greater than the circumference of Pool B by approximately 77.22 meters.
The diameter of a circle is twice the radius. Since the radius of Pool A is given as 44 feet, the diameter of Pool A would be (2 * 44) = 88 feet.
To compare Pool A and Pool B in the same unit, we need to convert the diameter of Pool B from meters to feet. Given that 1 meter is equal to 3.281 feet, the diameter of Pool B in feet would be (27.02 * 3.281) = 88.63 feet (rounded to the nearest hundredth).
The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius. For Pool A, the circumference would be (2 * 3.14159 * 44) = 276.46 feet (rounded to the nearest hundredth).
For Pool B, the circumference would be (2 * 3.14159 * 88.63) = 556.80 feet (rounded to the nearest hundredth).
Comparing the circumferences, we find that the circumference of Pool A is greater than the circumference of Pool B by approximately (556.80 - 276.46) = 280.34 feet (rounded to the nearest hundredth), which is equivalent to approximately 85.34 meters.
Therefore, the circumference of Pool A is greater than the circumference of Pool B by approximately 77.22 meters.

Learn more about circumference here
https://brainly.com/question/28757341



#SPJ11

What is 4x + 3y + 9x - 3y

Answers

Answer:

13x

Step-by-step explanation:

+3y and -3y cancel out

Therefore, we have 4x+9x

13x

calculate 3, 4, and 5 and then find the sum of the telescoping series 1 1 − 1 2

Answers

To find the sum of the telescoping series 1 - 1/2, we need to calculate the first few terms of the series. The series is formed by subtracting consecutive terms, leading to cancellation of most terms, resulting in a simplified expression for the sum.

The given telescoping series is 1 - 1/2. To find the sum, let's calculate the first few terms.

When we plug in n = 3 into the series, we get: 1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6. Notice that many terms in the series cancel each other out. For example, the positive 1/3 cancels out with the negative 1/3, and the positive 1/5 cancels out with the negative 1/5. This cancellation continues for all terms except the first and last terms.

Therefore, after canceling out terms, the simplified expression for the sum of the telescoping series becomes: 1 - 1/2 + 1/5 - 1/6.

To find the actual sum, we can evaluate this expression. Adding the terms together, we get: 1 - 1/2 + 1/5 - 1/6 = 3/10.

Hence, the sum of the telescoping series 1 - 1/2 is 3/10.

Learn more about positive here: https://brainly.com/question/13165973

#SPJ11

Use the Alternating Series Test, if applicable, to determine the convergence or divergence of the series.
[infinity] n = 3
(−1)nn
n2 − 5

Answers

Both conditions of the alternating series test are satisfied, so the series ∑ (-1)^n a_n converges.

To apply the alternating series test, we need to verify the following two conditions:

The sequence {a_n} = 1/(n^2 - 5) is positive, decreasing, and approaches 0 as n approaches infinity.

The series ∑ (-1)^n a_n = ∑ (-1)^n/(n^2 - 5) converges.

To check the first condition, we can take the derivative of a_n:

a'_n = -2n/(n^2 - 5)^2

Since n ≥ 3, we have n^2 - 5 ≥ 4, so (n^2 - 5)^2 ≥ 16. This implies that a'_n ≤ 0 for n ≥ 3. Therefore, the sequence {a_n} is decreasing.

To check that the sequence approaches 0, we can use the limit comparison test with the convergent p-series ∑ 1/n^2:

lim n→∞ a_n/(1/n^2) = lim n→∞ n^2/(n^2 - 5) = 1

Since the limit is finite and positive, we conclude that {a_n} approaches 0 as n approaches infinity.

Thus, both conditions of the alternating series test are satisfied, so the series ∑ (-1)^n a_n converges.

Learn more about alternating series here:

https://brainly.com/question/16969349

#SPJ11

Please help!! Thank you.

Answers

Answer:

A'(-8,6)

B'(6,4)

C'(-8,0)

Step-by-step explanation:

 Since this transformation is a violation we can we can use the skill factor to multiply both the x-coordinate and the Y And the Y coordinate of the Of the point to make sure that everything is consistent and that the figures stay similar.

Sonali purchased some pants and skirts the numbers of skirts is 7 less than eight times the number of pants purchase also number of skirt is four less than five times the number of pants purchased purchased

Answers

Sonali purchased some pants and skirts the numbers of skirts is 7 less than eight times the number of pants purchase also number of skirt is four less than five times the number of pants purchased is 1 pant and 1 skirt.

Let's denote the number of pants Sonali purchased as P and the number of skirts as S. We're given two pieces of information:

1. The number of skirts (S) is 7 less than eight times the number of pants (8P). This can be represented as S = 8P - 7.

2. The number of skirts (S) is also 4 less than five times the number of pants (5P). This can be represented as S = 5P - 4.

Now we have a system of two linear equations with two variables, P and S:

S = 8P - 7
S = 5P - 4

To solve the system, we can set the two expressions for S equal to each other:

8P - 7 = 5P - 4

Solving for P, we get:

3P = 3
P = 1

Now that we know P = 1, we can substitute it back into either equation to find S. Let's use the first equation:

S = 8(1) - 7
S = 8 - 7
S = 1

So, Sonali purchased 1 pant and 1 skirt.

Know more about linear equations  here:

https://brainly.com/question/26310043

#SPJ11

A fair die is rolled until three different numbers are seen. Let X be the number of rolls this requires. Find E[X] and Var(X). (Hint: Use the technique of the coupon collector problem in the book.]

Answers

The expected value of X is 297/35 and the variance of X is 774/1225.

Let's define the indicator random variable Xi as follows:

Xi = 1, if the i-th roll results in a new number (that hasn't been rolled before).

Xi = 0, otherwise.

Then, X is the sum of these indicator variables, that is:

X = X1 + X2 + X3

We know that E[Xi] = 1/p, where p is the probability of rolling a new number on the i-th roll, given that i - 1 distinct numbers have already been rolled. Since there are i - 1 distinct numbers already rolled, the probability of rolling a new number on the i-th roll is (6 - i + 1)/6.

Thus, we have:

E[Xi] = 6/(6-i+1) = 6/(7-i)

Using the linearity of expectation, we can find the expected value of X:

E[X] = E[X1] + E[X2] + E[X3] = 6/7 + 6/6 + 6/5 = 297/35

To find the variance of X, we need to calculate the variance of each Xi:

Var(Xi) = E[Xi^2] - E[Xi]^2

We know that:

E[Xi^2] = 1(6-i+1)/6 + 0(i-1)/6 = (7-i)/6

So, we have:

Var(Xi) = (7-i)/6 - (6/(7-i))^2

Using the linearity of variance, we can find the variance of X:

Var(X) = Var(X1) + Var(X2) + Var(X3)

= (4/6) - (6/7)^2 + (3/6) - (6/6)^2 + (2/6) - (6/5)^2

= 774/1225

To learn more about variance :

brainly.com/question/25639778

#SPJ11

Find the average value of the function over the given interval. f(x) = 6 x on [0, 9]

Answers

The average value of the function f(x) = 6x over the interval [0, 9] is 27.

To find the average value of a function over a given interval, you need to take the definite integral of the function over that interval, and divide by the length of the interval. In this case, the function is f(x) = 6x, and the interval is [0, 9].

So first, we need to find the definite integral of 6x over [0, 9]:

∫[0,9] 6x dx = 3x^2 |[0,9] = 243

Next, we need to find the length of the interval, which is simply 9 - 0 = 9.

Finally, we divide the definite integral by the length of the interval:

Average value of f(x) = (1/9) * 243 = 27

So the average value of the function f(x) = 6x over the interval [0, 9] is 27.

To know more about functions refer here :

https://brainly.com/question/13956546#

#SPJ11

vector a has components =4.43 and =−16.5 . what is the magnitude of this vector?

Answers

The value of vector A is approximately 17.08.

To find the magnitude of a vector with components = 4.43 and = -16.5, you can use the Pythagorean theorem.

The formula for the magnitude of a vector (|A|) is:

|A| = √(x² + y²)

In this case, x = 4.43 and y = -16.5.

Plugging these values into the formula, you get:

|A| = √((4.43)² + (-16.5)²)

|A| = √(19.5849 + 272.25)

|A| = √(291.835)

Calculating the square root, you find that the magnitude of vector A is approximately 17.08.

Learn more about vector at

https://brainly.com/question/29740341

#SPJ11

Let f be a differentiable function such that f(0)=5. 420 and f′(x)=sin2x+x−−−−−−−−√. What is the value of f(2π) ?

Answers

The value of f(2π) is:π + 2√(2π).

The given differentiable function is: f′(x) = sin²(x) + x^(-1/2)

Given that: f(0) = 5.420

To find:f(2π)

The function is differentiable.

Therefore, f(x) must be continuous.

Let's first integrate the derivative of the function.

∫f′(x) dx = ∫sin²(x) + x^(-1/2) dx

∫sin²(x) dx = x/2 - (sin x cos x)/2 = (x - sin x cos x)/2

∫x^(-1/2) dx = 2x^(1/2) = 2√x

The integral is equal to: f(x) = (x - sin x cos x)/2 + 2√x

Now we need to substitute x with 2π:

f(2π) = [(2π - sin(2π) cos(2π))/2] + 2√(2π)

f(2π) = [(2π - 0 x (-1))/2] + 2√(2π)

f(2π) = [π + 2√(2π)]

Therefore, the value of f(2π) is:π + 2√(2π).

To learn about the integral here:

https://brainly.com/question/30094386

#SPJ11

Oil Imports from Mexico Daily oil imports to the United States from Mexico can be approximated by I(t) = -0.015t^2 + 0.1t + 1.4 million barrels/day (0 lessthanorequalto t lessthanorequalto 8) where t is time in years since the start of 2000.^3 According to the model, in what year were oil imports to the United States greatest? How many barrels per day were imported that year?

Answers

The maximum number of barrels per day imported in september 2003 was 1.72 million

How To find the year when oil imports were greatest?

To find the year when oil imports were greatest, we need to find the maximum value of the function I(t) = -0.015t^2 + 0.1t + 1.4, where t is in years since the start of 2000.

The maximum value of a quadratic function occurs at the vertex, which has x-coordinate equal to -b/2a for a function in the form [tex]ax^2 + bx + c.[/tex]For this function, a = -0.015 and b = 0.1, so the x-coordinate of the vertex is:

x = -b/2a = -0.1 / (2*(-0.015)) = 3.33

Since t is in years since the start of 2000, the year when oil imports were greatest is 2003.33 (or approximately September 2003).

To find the number of barrels per day imported that year, we can simply plug in t = 3.33 into the function I(t):

[tex]I(3.33) = -0.015(3.33)^2 + 0.1(3.33) + 1.4[/tex]= 1.72 million barrels per day

Therefore, the maximum number of barrels per day imported was approximately 1.72 million, and this occurred in September 2003.

Learn more about problem related to oil imports

brainly.com/question/499716

#SPJ11

f(x) = x 0 (9 − t2) et2 dt, on what interval is f increasing? (enter your answer using interval notation.)

Answers

The interval on which f(x) is increasing is (-3, 3).

To determine on what interval the function f(x) = x 0 (9 − t2) et2 dt is increasing, we need to find the derivative of f(x) and then examine its sign.

We can use the Leibniz rule to find the derivative of f(x):

f'(x) = (d/dx) x 0 (9 − t2) et2 dt = (9 − x2) ex2

Now we need to determine the sign of f'(x) on different intervals. Notice that the factor (9 - x^2) is always positive for x in the interval [-3, 3], and ex^2 is always positive for any x. Therefore, the sign of f'(x) is determined by the sign of (9 - x^2)ex^2.

If x < -3 or x > 3, then (9 - x^2) is negative, and so is f'(x). Therefore, f(x) is decreasing on (-∞, -3) and (3, ∞).

If -3 < x < 3, then (9 - x^2) is positive, and so is f'(x). Therefore, f(x) is increasing on (-3, 3).

Therefore, the interval on which f(x) is increasing is (-3, 3).

Learn more about interval here:

https://brainly.com/question/13708942

#SPJ11

What if Joe’s marginal cost was $40 per additional hour?


Would it make sense for him to keep the restaurant open longer? For how many hours? Explain opportunity cost in making an economic decision

Answers

If Joe’s marginal cost was $40 per additional hour, it would make sense for him to keep the restaurant open longer for a maximum of 2 hours because after this point the marginal cost exceeds the marginal benefit.

Explanation:Marginal cost is the additional cost of producing an extra unit of output while marginal benefit is the additional benefit gained from producing an extra unit of output.

To maximize profits, businesses should continue producing units of output until the marginal cost equals the marginal benefit.The question states that Joe’s marginal cost is $40 per additional hour. This implies that for every additional hour the restaurant is kept open, it would cost Joe $40. In order to decide if it is economically beneficial to keep the restaurant open longer, Joe would need to compare the marginal cost with the marginal benefit.

If Joe’s marginal benefit is higher than his marginal cost, then it would make sense for him to keep the restaurant open longer. However, if his marginal cost is higher than his marginal benefit, then it would not be economical to keep the restaurant open longer.

The opportunity cost of an economic decision is the next best alternative foregone. In this case, Joe would need to consider what he would have gained or lost if he did not keep the restaurant open for an additional hour.

To know more about profits, visit

https://brainly.com/question/29662354

#SPJ11

consider the relation | on s = {1,2,3,5,6}. find al l linear ex- tensions of | on s

Answers

The linear extension of l on s is {(1,3), (2,6), (5,), (1,5), (3,5)}.

The relation | on s = {1,2,3,5,6} means that two elements are related if they have the same parity (i.e., they are both even or both odd).
To find all linear extensions of | on s, we can first write down the pairs that are already related by |:
(1,3), (2,6), (5,)
We can then consider each remaining pair of elements and decide whether they should be related or not in a linear extension of |. For example, we could choose to relate 1 and 5, since they are both odd and do not currently have a relation.
One possible linear extension of | on s is:
{(1,3), (2,6), (5,), (1,5), (3,5)}

Note that there are several other possible linear extensions, depending on which pairs we choose to relate.

To know more about linear extension visit:

https://brainly.com/question/27822580

#SPJ11

good way to make sense of qualitative data is through: a. mental blocks. b. thinking units. c. linear regression. d. quantitative analysis.

Answers

A good way to make sense of qualitative data is through quantitative analysis.

Qualitative data refers to non-numerical data that is descriptive, such as textual responses, interviews, observations, and open-ended survey questions. To make sense of qualitative data, quantitative analysis techniques are not applicable. Instead, qualitative data analysis methods are used.

Quantitative analysis is focused on numerical data and involves statistical techniques, such as linear regression, hypothesis testing, and data modeling. While these techniques are valuable for analyzing quantitative data, they are not suitable for analyzing qualitative data.

To make sense of qualitative data, researchers typically employ methods such as thematic analysis, content analysis, coding, categorization, and pattern recognition. These techniques involve organizing, coding, and interpreting the qualitative data to identify themes, patterns, and relationships.

Therefore, among the options provided, the most appropriate way to make sense of qualitative data is through qualitative analysis techniques rather than mental blocks, thinking units, or linear regression.

To know more about qualitative data click here :

https://brainly.com/question/1417786

#SPJ4

HELP MEEEE PLEASE!!!!!

Answers

The area covered in tiles is given as follows:

423.3 ft².

How to obtain the area covered in tiles?

The dimensions of the rectangular region of the pool are given as follows:

20 ft and 30 ft.

Hence the entire area is given as follows:

20 x 30 = 600 ft².

The radius of the pool is given as follows:

r = 7.5 ft.

(as the radius is half the diameter).

Hence the area of the pool is given as follows:

A = π x 7.5²

A = 176.7 ft².

Hence the area that will be covered in tiles is given as follows:

600 - 176.7 = 423.3 ft².

More can be learned about the area of a figure at https://brainly.com/question/32513467

#SPJ1

any finite set is countable (a) true (b) false

Answers

any finite set is countable yes  (a) True

A finite set is countable because it has a specific number of elements that can be put into one-to-one correspondence with a subset of natural numbers. In other words, you can assign a unique natural number to each element in the finite set without running out of natural numbers to assign.


1. A finite set has a limited number of elements, meaning there is an exact count for the elements in the set.
2. A countable set is a set whose elements can be put into one-to-one correspondence with a subset of natural numbers (0, 1, 2, 3, ...).
3. Since a finite set has a specific number of elements, we can assign a unique natural number to each element without running out of numbers.
4. This one-to-one correspondence between the elements in the finite set and the natural numbers demonstrates that the set is countable.

Finite sets are countable because they contain a specific, limited number of elements that can be matched up with a subset of natural numbers. By establishing a one-to-one correspondence between the elements in the finite set and natural numbers, we can effectively count the elements in the set, making it countable.

Any finite set is countable because its elements can be placed in one-to-one correspondence with a subset of natural numbers, allowing for the set to be effectively counted.

To know more about finite set  visit:

brainly.com/question/29899057

#SPJ11

If all of the angles in the pentagon below are congruent (equal), then what is the m A) 77°
B) 97°
C) 108°
D) 120°

Answers

Answer:

C

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a pentagon has 5 sides , that is n = 5

sum = 180° × (5 - 2) = 180° × 3 = 540°

since the 5 angles are congruent then divide the sum by 5 , that is

∠ F = 540° ÷ 5 = 108°

Step-by-step explanation:

Formula of calculating total angles with n side (Polygon) : (n-2) . 180°

total pentagon angles :

= (5 - 2) . 180

= 3 . 180

= 540°

all of the angle is congruent, then :

m<F = 540/5

m<F = 108° (C)

Subject : Mathematics

Level : JHS

Chapter : Geometry

It is claimed that, while running through a whole number of cycles, a heat engine takes in 21 kJ of heat, discharges 16 kJ of heat to the environment, and performs 3 kJ of work.What is wrong with the claim?A. The work performed does not equal the difference between the heat input and the heat output.B. The work performed equals the difference between the heat output and the heat input.C. The work performed does not equal the sum of the heat input and the heat output.D. There is nothing wrong with the claim.E. The work performed does not equal the difference between the heat output and the heat input.

Answers

The issue with the claim that a heat engine takes in 21 kJ of heat, discharges 16 kJ of heat to the environment, and performs 3 kJ of work is that the work performed does not equal the difference between the heat input and the heat output. Therefore, the correct option  is A.

1. According to the first law of thermodynamics, the work performed by a heat engine is equal to the difference between the heat input (Qin) and the heat output (Qout).
2. In this case, Qin is 21 kJ and Qout is 16 kJ.
3. The difference between the heat input and heat output is 21 kJ - 16 kJ = 5 kJ.
4. However, the claim states that the work performed is 3 kJ, which is not equal to the difference between the heat input and the heat output (5 kJ).

Hence, the claim is incorrect because the work performed does not equal the difference between the heat input and the heat output. The correct answer is option A.

Learn more about First law of thermodynamics:

https://brainly.com/question/19863474

#SPJ11

Un tren parte con una velocidad de 15 m/s, calcule su aceleración sabiendo que después de 8 segundos avanza a una velocidad de 30 m/s.

Answers

The train is travelling at an initial velocity of 15 m/s. After 8 seconds, the train is travelling at a final velocity of 30 m/s. We need to calculate the acceleration of the train during this time period.

The formula for acceleration is given by the equation a = (v_f - v_i) / tWhere a is the acceleration, v_f is the final velocity, v_i is the initial velocity and t is the time taken .So, substituting the values we have: [tex]a = (30 - 15) / 8a = 1.875 m/s^2[/tex]Therefore, the acceleration of the train is [tex]1.875 m/s^2[/tex].The train is accelerating at a rate of 1.875 m/s^2. This means that every second, the train is increasing its velocity by 1.875 m/s. If the train continues to accelerate at this rate, it will reach a velocity of 60 m/s in 24 seconds.

To know more about  velocity visit:

brainly.com/question/22038177

#SPJ11

The box-and-whisker plot below represents some data set. What percentage of the data values are less than or equal to 110




Answers

The percentage of data less than 61 on the box and whisker plot is given as follows:

100%.

What does a box and whisker plot shows?

A box and whisker plots shows these five metrics from a data-set, listed and explained as follows:

The minimum non-outlier value.The 25th percentile, representing the value which 25% of the data-set is less than and 75% is greater than.The median, which is the middle value of the data-set, the value which 50% of the data-set is less than and 50% is greater than%.The 75th percentile, representing the value which 75% of the data-set is less than and 25% is greater than.The maximum non-outlier value.

The metrics for this problem are given as follows:

Minimum value of 44 -> 0% are less than.First quartile of 48 -> 25% are less than.Median of 51 -> 50% are less than.Third quartile of 55 -> 75% are less than.Maximum of 61 -> 100% of the measures are less than.Missing Information

The problem is given by the image presented at the end of the answer.

More can be learned about box plots at https://brainly.com/question/3473797

#SPJ1

PLEASE ANSWER QUICK ITS 100 POINTS AND BE RIGHT
DETERMINE THIS PERIOD

Answers

The period of the function in this problem is given as follows:

20 units.

How to obtain the period of the function?

A periodic function is a function that has the behavior repeating over intervals in the domain of the function.

Then the period of the function has the concept defined as the difference between two points in which the function has the same behavior.

Looking at the peaks of the function, they are given as follows:

x = 0.x = 20.

Hence the period of the function is given as follows:

20 - 0 = 20 units.

More can be learned about functions at brainly.com/question/23713359

#SPJ1

Other Questions
more established businesses usually rely on an accountant to manage their finances.T/F The set B = {[-1 3 0 0], [0 -1 0 2], [0 0 0 2]} is a basis of the space of upper-triangular 2 times 2 matrices, Find the coordinates of M = [-2 -6 0 1] with respect to this basis. [M]B = [ ] How would you describe the two people in this passage? assume that the rule factorial(n, fac) will compute fac = n!. what should be the output if the following question is asked? ?- factorial(2, 5). a researcher trying to understand the impact of heritability and the influence of the environment on intelligence is most likely a Which statements from the passage provide valid points to support Warren's argument that pay inequality is a form of discrimination? Select Valid Reasoning for points that support her argument. Select Invalid Reasoning for points that fail to support her argument. Valid Reasoning Invalid Reasoning Women today still earn only 77 cents for every dollar a man earns. Valid Reasoning Women today still earn only 77 cents for every dollar a man earns. Invalid Reasoning Women today still earn only 77 cents for every dollar a man earns. In 99. 6 percent of occupations, men are paid more than their female counterparts. Valid Reasoning In 99. 6 percent of occupations, men are paid more than their female counterparts. Invalid Reasoning In 99. 6 percent of occupations, men are paid more than their female counterparts. More young women go to college than men. Valid Reasoning More young women go to college than men. Invalid Reasoning More young women go to college than men. Bloomberg analyzed Census data and found that median earnings for women were lower than those for men in 264 of 265 major occupation categories. Valid Reasoning Bloomberg analyzed Census data and found that median earnings for women were lower than those for men in 264 of 265 major occupation categories. Invalid Reasoning Bloomberg analyzed Census data and found that median earnings for women were lower than those for men in 264 of 265 major occupation categories. America's women are tired of hearing that pay inequality isn't real. Valid Reasoning America's women are tired of hearing that pay inequality isn't real. Invalid Reasoning America's women are tired of hearing that pay inequality isn't real. compare flora and founa of haryana and telangana seniors should perform ____ set(s) of ___-____ reps for resistance exercise. what must be disabled to implement nested virtualization? group of answer choices dynamic memory static memory implicit memory declarative memory measurements of a certain isotope tell you that the decay rate decreases from 8283 decays/minute to 3103 decays/minute over a period of 4.00 days.What is the half-life (T1/2) of this isotope? Beginning inventory and purchases Units Unit cost January 1 5 $ 3.50 April 10 10 4.00 May 15 12 4.50 July 22 15 4.75 August 19 18 5.50 September 30 20 5.70 November 10 32 5.90 December 15 16 6.30 cost of ending inventory: cost of goods sold: how many moles of benzoic acid, a monoprotic acid with ka = 6.4 105, must be dissolved in 500. ml of h2o to produce a solution with ph = 2.50? The structure labeled C, within which development occurs, is known as the a. placenta. b. oviduct. c. uterus. d. birth canal. Let S be the family of univalent functions f (z) defined on the open unit disk {|z| < 1} that satisfy f (0) = 0 and f'(0) = 1. Show that S is closed under normal convergence, that is, if a sequence in S converges normally to f (z), then f in S. Remark. It is also true, but more difficult to prove, that S is a compact family of analytic functions, that is, every sequence in S has a normally convergent subsequence A solution is made by dissolving 45.5 g of Ba(NO) in 500.0 mL of water. Using Kb(NO) = 2.2 10, determine the pH of the solution. HELP ASAPPPP!!!!!!!!!!!! WILL MARK BRAINLY!+THIS IS AN EXAM QUESTION SO DO NOT ANSWER IF YOU DONT KNOW THE CORRECT ANSWER< PLS AND THXWhich statement best contrasts pioneer species and climax communities?Pioneer species are involved in the first stage of succession, and climax communities are involved in the final stage of succession.Pioneer species are involved in the final stage of succession, and climax communities are involved in the first stage of succession.A pioneer species will change into a different species in the climax community.A climax community is made up of multiple pioneer species. under what conditions are fear-arousing messages most effective in influencing behavior? the base of a solid is the circle x2 y2=1. find the volume of the solid given that the cross sections perpendicular to the x-axis are isoceles right triangles with leg on the xy-plane. .To explore how yeast cells metabolize glucose, investigators use a DNA microarray to examine the effect the sugar has on the expression of a variety of genes. Cultured yeast cells are supplemented with high concentrations of glucose. mRNAs are extracted from the cells, converted into cDNAs, and labeled with a fluorescent marker. The samples are then hybridized to a DNA microarray that includes probes representing yeast genes.Shown here is a data set representing genes involved in ribosome biogenesis and electron transport. Red indicates that supplementing the growth medium with glucose has increased the expression of the genes, whereas green indicates that the added glucose has decreased gene expression.Based on this data, what can be concluded about how yeast cells behave when grown in the presence of high concentrations of glucose? the length of a rectrangle is 1 foot more than twice the width. The area of the rectabgle is two times the square of the width, plus three times the width, less 14 square feet. What us the width of the rectangle?