Complete the equations. 95x10^3= ,95x 10^4= , 95x10^5=

Answer:

height = 21.8 ft from ground

Step-by-step explanation:

see photo for explanation.

By using the data table, a ratio for each comparison in three different ways should be written as follows;

The ratio of O+ donors to B+ donors is 9:2.

The ratio of A- donors to B+ donors is 21:20.

The ratio of AB+ donors to total donors is 6:195.

In order to determine and write the ratio for each comparison, we would have to assign variables to the chosen blood group donors respectively:

From the information provided above, we have the following parameters:

O = 90 donors.

B = 20 donors.

Now, we can write the ratio as follows;

O:B = 90:20

Dividing by 10, we have the following ratio:

O:B = 9:2

ABN:ABP = 4:6

Dividing by 2, we have the following ratio:

ABN:ABP = 2:3

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The change in percentage of y when x increases by 5% will be 25%

Direct proportion is a mathematical comparison between two numbers where the ratio of the two numbers is equal to a constant value.

Given that, y is directly proportional to the square of x. we need to find the percentage increase when x is increased by 5%

Since, Y varies directly as the square of x.

Therefore, the general equation to show the direct variation :-

Y = kx²

Let the value of x be 25

25 will be x as 100%. therefore when x is 100%  the value of y will be

Y = 25²k

= 625k

Increasing the value of x by 5%,  

(105x25)/100 = 26.25

Therefore, 105% of 25 = 26.25.

Applying the variation equation, we obtain

Y = (26.25)²k

= 689.0625k

We will find the percentage change in y caused by an increase of x by 5%

(689.0625x100)/625 = 110.25%

Therefore, to find the percentage change in y when x increases by 5% will be,

(110.25-100)% =10.25%

Hence, the change in percentage of y when x increases by 5% will be 25%

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It would  51.35 minutes take a puddle of water to freeze.

What is the initial temperature?

Initial temperature refers to the average interior temperature of the coldest processing container at the start of the thermal processing cycle, as determined after a thorough stir or shake of the filled and sealed container.

The given equation is T = R + (T₀ − R)[tex]e^{(-kt)}[/tex].

T = temperature of the object after t minutes

T₀ = initial temperature

R = temperature of the surroundings

k = cooling rate (depends on the object and conditions)

The initial temperature is 55°F. The water freezes at 32°F. Thus final temperature is 32°F. The value of k is 0.012.

Now putting T = 32°F, T₀ = 55°F, R = 5°F, k = 0.012 in the given equation:

32 = 5 + (55 − 5)[tex]e^{(-0.012t)}[/tex]

Subtract 5 from both sides:

27 = 50[tex]e^{(-0.012t)}[/tex]

Divide both sides by 50:

[tex]e^{(-0.012t)}[/tex] = 27/50

Taking natural logarithms on both sides:

ln[tex]e^{(-0.012t)}[/tex] = ln(27/50)

-0.012t = -0.616

t = 51.35

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Answer:

918

Step-by-step explanation:

The best fit line is a straight line that reflects the best feasible estimate of the connection between two variables in a dataset in statistics and data analysis. The line is deemed to have the "best fit" since it minimises the difference between the observed data points and the line's anticipated values.

The method of least squares is the most often used approach for identifying the best fit line, which entails finding the line that minimises the sum of the squared differences between the observed data points and the corresponding predicted values on the line. This approach yields a linear equation of the form y = mx + b, where "m" represents the line's slope and "b" represents the y-intercept.

The best fit line may be used to anticipate the relationship between the variables in the dataset, as well as to detect any outliers or atypical data points that may be influencing the overall relationship. It is often used to evaluate data and create predictions in domains including as economics, engineering, and social sciences.

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Answer:

Step-by-step explanation:

If 1in is equal to 47 feet irl, then that means that the actual width is 47ft and the actual length is 94ft.

Multiply those two together and you get 4,418 sq ft as your answer.

Answer:

x = 3, y = 4

Step-by-step explanation:

3x + y = 13

5x - 2y = 7

To solve by substitution, you solve one of the equations for a variable, and then plug it into the other equation.

I'm going to choose to solve the first equation for y, as that will be the easiest.

y = -3x + 13 (subtract 3x from both sides)

Now we plug this equation into the y in the second equation and solve for x.

5x - 2(-3x + 13) = 7 (distribute)

5x + 6x - 26 = 7 (combine like terms)

11x - 26 = 7 (add 26 to both sides)

11x = 33

x = 3

Now that we know x is 3, we can plug it in a solve either equation for y.

y = -3(3) + 13

y = -9 + 13

y = 4

The correct linear equation for the table is,

⇒ y = - 5x - 2

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The table is shown in figure.

Now, Let two points from the table are (4, - 22) and (3, - 17).

Hence, Equation of linear function is,

⇒ y -  (- 22) = (- 17 - (-22)) / (3 - 4) (x - 4)

⇒ y + 22 = (5/- 1) (x - 4)

⇒ y + 22 = - 5 (x - 4)

⇒ y + 22 = - 5x + 20

⇒ y = - 5x + 20 - 22

⇒ y = - 5x - 2

Thus, The correct linear equation for the table is,

⇒ y = - 5x - 2

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The second graph, first quadrant of coordinate plane titled Marie's round of golf could represent Marie's situation.

A coordinate plane is a two-dimensional plane made up of the x-axis and y-axis, two perpendicular number lines. Using the coordinates (x, y), which stand for the horizontal and vertical distances from the origin (the point where the x- and y-axes cross), it is possible to find locations in a two-dimensional space. The first quadrant, second quadrant, third quadrant, and fourth quadrant of the coordinate plane are designated in order anticlockwise.

Given that, she stayed at the first hole for the first 30 minutes. Then she drove away from the first hole for the next 2 hours.

The situation is best described by the graph 2, first quadrant of coordinate plane titled Marie's round of golf with the x axis labeled time in hours and the y axis labeled distance in miles, with a line segment from 0 comma 0 to one half comma 0, a line segment from one half comma 0 to 2 and a half comma 5, and a line segment from 2 and a half comma 5 to 4 and a half comma 0.

Hence, the second graph could represent Marie's situation.

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Answer:

the answer is the graph shone below

i took the test and  IT WAS RIGHT  

Step-by-step explanation:

have a good day!

The answers to the equations y = -6x + 12 and y = -y + 3x = 6 are x = 2 and y = 0, respectively.

A location that satisfies every equation in a system of linear equations is the system's solution. You can graph a set of linear equations and find their points of intersection, or you can use algebra to figure out the variables.

Using substitution, we may solve by replacing y in the first equation with the second equation:

-(-6x + 12) + 3x = 6

Share the ominous symbol

6x - 12 + 3x = 6

combining similar terms

9x - 12 = 6

Separate the variable and add 12 to both sides to find the value of x:

9x = 18

x = 2

Substitute 2 with x in any equation to find the value of y:

-y + 3(2) = 6.

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hello,

we already know that for 2 hours of babysitting, Mara earned $25.

to find how much she'd make for 5 hours of babysitting:

divide 25 by 2 which gets us 12.50.

if mara were to babysit for 5 hours, she'd make $62.50.

I hope this was helpful =]

We know that the area of the given hexagon whose perimeter is 90ft is 584.56715 ft².

A hexagon, also known as a hexagon, is a six-sided polygon that forms the shape of a cube in geometry.

Any simple hexagon has 720° of internal angles in total.

No matter what kind of hexagon it is, they all have six sides.

This implies that all types of hexagons—regular, irregular, concave, and convex—have six sides apiece.

So, we know that the perimeter of the hexagon is 90ft.

Formula: 6a

Then, calculate the side as follows:

P = 6a

90 = 6a

a = 90/6

a = 15

Then, the area of the hexagon:

= 3√3/2a²

= 3√3/2*15²

= 584.56715

Therefore, we know that the area of the given hexagon whose perimeter is 90ft is 584.56715 ft².

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We need to add (t - 2πr) units of rope.

We have,

Let's call the radius of the hula hoop "r" and the distance from the center of the hula hoop to the rope "d".

We want to find the length of the rope we need to add in order to create a circle with radius "d" that is tangent to the hula hoop.

The distance between the center of the hula hoop and the center of the tangent circle is (r + d), so the diameter of the tangent circle is

2(r + d), and the length of the circle is 2π(r + d).

We want to find the value of d that will make the circle just touch the person's toes, so the radius of the tangent circle is equal to the length of the person's toes, which we'll call t.

So we have the equation:

2π(r + d) = t

Solving for d.

d = (t/2π) - r

The amount of rope we need to add is:

2πd = 2π((t/2π) - r) = t - 2πr

Thus,

We need to add (t - 2πr) units of rope.

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Bonjour !

Pour obtenir la deuxième ligne de l'équation que vous avez donnée, on peut tout simplement développer le terme Un+1 en utilisant la définition de Un+1 donnée par la relation de récurrence :

Un+1 = 2Un + 1/3(n+1)

En remplaçant Un+1 dans l'expression Un+1 - Un, on obtient :

Un+1 - Un = (2Un + 1/3(n+1)) - Un

On simplifie l'expression en combinant les termes similaires :

Un+1 - Un = 2Un - Un + 1/3(n+1)

Un+1 - Un = Un + 1/3(n+1)

Maintenant, pour obtenir la troisième ligne de l'équation, on peut factoriser Un - Un+1 en utilisant le signe moins :

Un - Un+1 = - (Un+1 - Un)

Un - Un+1 = - (Un+1 - 2Un - 1/3(n+1))

Un - Un+1 = - (-2Un - Un+1 - 1/3(n+1))

Un - Un+1 = 2/3Un + 1/3(n+1) - 1/3Un - 2/3Un - 1/3(n+1)

On simplifie à nouveau en combinant les termes similaires :

Un - Un+1 = -1/3Un + 1/3(n+1)

Enfin, pour obtenir la quatrième ligne de l'équation, on utilise l'associativité de l'addition pour regrouper les termes :

Un - Un+1 = -1/3Un + 1/3(n+1)

Un - Un+1 = 1/3(n+1) - 1/3Un

Un - Un+1 = 1/3(n+3 - Un)

J'espère que cela vous aide à comprendre la démonstration de cette relation de récurrence. N'hésitez pas à me poser d'autres questions si vous en avez besoin !

We are given that the distribution of maximum oxygen uptake for elite athletes is approximately normal with mean 69 and standard deviation 7.6.

To find the probability that an elite athlete has a maximum oxygen uptake of at least 84.2 ml/kg, we need to standardize the value using the formula:

z = (x - μ) / σ

where,

x = the value of 84.2 ml/kg

μ = the mean of 69 ml/kg

σ = the standard deviation of 7.6 ml/kg.

Plugging in the values, we get:

z = (84.2 - 69) / 7.6

    = 2.03

Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable being greater than or equal to 2.03 is 0.0217. Therefore, the probability that an elite athlete has a maximum oxygen uptake of at least 84.2 ml/kg is 0.0217.

z = (58.36 - 69) / 7.6

   = -1.36

Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable being less than or equal to -1.36 is 0.0869. Therefore, the probability that an elite athlete has a maximum oxygen uptake of at most 58.36 ml/kg is 0.0869.

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the reflection of the given function will be f(-x) = 0.5 4⁻ˣ and the graph of this function is attached below.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given, a function as shown in the graph:

To reflect a function over the y-axis we use the rule:

f(-x) reflects the graph of f(x) over the y-axis. In other words,  to reflect f(x) over the y-axis, we just need to replace x with -x.

Let's find f(x) first using the standard exponential growth function:

f(x) = a( 1 + b )ˣ

From our graph, we can infer that f(x) = 1/2 when x =0, so let's replace those values in our function:

f(x) = a( 1 + b )ˣ

1/2 = a(1 +b)⁰

a = 1/2

We can also infer that f(x) = 8 when x =2. Since we already know that a = 1/2, let's replace the values to find and complete our function:

f(x) = a( 1 + b )ˣ

8 = 1/2(1 +b)²

4 = 1+b

b = 3

So putting it all together:

f(x) = 1/2( 1 + 3 )ˣ

Finally, we can apply the reflection rule to find the reflection over the y-axis:

f(-x) = 1/2(4)⁻ˣ

f(-x) = 0.5 4⁻ˣ

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The value of x after the following code 'int x = 10; for (int y=5; y<20; y = 5) x = y' is executed will be 5.

The given for loop initializes the variable y to 5, then checks if y is less than 20, and then sets y to 5 again in each iteration. This means that the loop will execute only once with the value of y being 5, and after that, the loop condition will always be false because y is never incremented or changed in any way.

During the execution of the loop, the value of y is assigned to the variable x. Therefore, after the loop, the value of x will be 5.

So, the final value of x will be 5.

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Answer:

[tex] \to \green{3\dfrac{3}{4}} \red\div \blue{ \dfrac{3}{8} }[/tex]

[tex] \to \rm \green{ \dfrac{15}{4} } \red \times \blue {\dfrac{8}{3} }[/tex]

[tex] \to \green{ \dfrac{ \cancel {15}^{5} }{ \cancel4}}\red\times\blue{\dfrac{ \cancel {8}^{2} }{ \cancel3} }[/tex]

[tex] \huge\boxed{\rm \color{cyan} \to10} [/tex]

[tex] \colorbox{gold}{Answer By} \: \: \: \\ \underbrace \colorbox{cyan}{ \color{purple}{SublimeRanter}}[/tex]

Answer:

10.

3 3/4 can be changed to 15/4.

Then you can use the, "Keep, Change, Flip" method:

15/4 * 8/3

Then multiply the numerators and denominators together:

15 * 8 = 120

4 * 3 = 12

Resulting with = 120/12

Now divide thew numerator by the denominator to get you final product:

120 / 12 = 10

The final answer is 10!

Step-by-step explanation:

Hope it helps! =D

Answer:

Step-by-step explanation:

I cant see

After reduced speed when race resumes the number of laps left are 6 2/3 laps.

What is the definition of speed?

The following is the definition of speed:

The rate with which the position of an item changes .

The ratio of distance travelled to time taken in travelling is known as speed. Speed is a scalar number because it has only one direction and no magnitude.

Formula for Speed

The speed formula is as follows:

s=d/t

Where,

s= speed in metres per second, d = distance travelled in metres, and t = time in seconds.

Now,

Total laps left for the lead car= 7 1/2

After race is paused or reduced speed for race until 5/6 of a lap

so only 1/6 of a lap had normal racing

so total lap left is 15/2-1+1/6

=45-6+1/6

=40/6

=20/3

=6 2/3

Hence,

          when race resumes the number of laps left are 6 2/3 laps.

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Answer:

A coefficient is a number that is multiplied by a variable or term in an algebraic expression.

Examples:

[tex]3x[/tex]

[tex]60x[/tex]

Answer:

-10 - 4i

Step-by-step explanation:

We can rewrite the equation as (by getting rid of parentheses):

-8 + 3i - 2 - 7i

Now, we can add/subtract the values:

(-8-2) + (-7i+3i)

= -10 - 4i

Answer:

No

Step-by-step explanation:

The way to show this expression is 6(4+5) because "and" is showing the distributive property.

Answer:

Step-by-step explanation:

A RIGHT triangle has TWO LEGS and a HYPOTENUSE ( the longest side)

Pythagorean Theorem for right triangles states:

Hypotenuse ^2  =  Leg1 ^2 + Leg2 ^2    

    if you sub in the three sides of the triangle and this is TRUE , it is a RIGHT triangle .

Answer: 240 people

Step-by-step explanation:

If each class has 23 students and 1 teacher then there are a total of 24 people in each class. Multiply that by 10 classes, you should get 240 people.

The exponent is 81.m⁴.n²⁰

Here we have to determine the sign for exponential or radical expression

[tex](-3mn^5)^4[/tex]

Now using the exponent power rule (aˣ)ⁿ = aˣⁿ =. We get

= 81.m⁴.n²⁰

Therefore the exponent as a product of power is 81.

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the phrase "2 to the 3rd" (written as 23) means:

2 x 2 x 2 = 8.

23 and 2 x 3 = 6 are not equivalent.

Keep in mind that any number is itself when raised to the power of 1.

The outcome is always a fraction when the exponent is negative. A numerator and a denominator make up fractions. The numerator in this case is always 1. Assuming the negative exponent is positive, raise the number to that power to determine the denominator

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18.42 years will it take to exhaust her annuity, i.e., run the account down to zero

Given the following information,

PV = $610,000

i = 6.5%

PMT = $40,000/year

The number of years for Ruth to exhaust all her funds from the account is 18.42

Using the financial calculator, we can easily find the value of n equals to 18.42 years in which the account finishes to zero.

n = 18.42 years

An annuity is a contract between you and an insurance company that requires the insurer to make payments to you, either incontinently or in the future. You buy an subvention by making either a single payment or a series of payments.

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All possible points should be equidistant from center.

so all the values here are possible.

(- 3, 2) ✓

(- 2, - 3) ✓

(2, - 3) ✓

(2, 3) ✓

(-2,3) ✓

(3, - 2) ✓

(- 3, - 2) ✓