The bakery uses 7 eggs to make a cake. If they have 380 eggs how many cakes can hey make?​

The correct sketch is B

The liquid range of water refers to the temperature range at which water exists as a liquid. At standard atmospheric pressure (1 atm), the liquid range of water is from 0 degrees Celsius to 100 degrees Celsius, or from 32 degrees Fahrenheit to 212 degrees Fahrenheit.

This means that water can exist as a liquid within this temperature range, but if the temperature falls below 0 degrees Celsius or rises above 100 degrees Celsius, it will freeze into a solid or boil into a gas, respectively.

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The supplies expense to be reported on the income statement for the year can be calculated using the formula:

Supplies expense = Beginning supplies balance + Supplies purchased during the year - Ending supplies balance

Substituting the given values, we get:

Therefore, the supplies expense to be reported on the income statement for the year is $3,050.

~ Zeph

The value of the variable x and y will be 1.5 and -2.5, respectively. Then the value of the expression (x + y) will be negative 1.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

here, we have,

A system of equations is given below.

x = -2y - 3.5       ...1

-5x + 3y = -15    ...2

From equations 1 and 2, then we have

-5(-2y - 3.5) + 3y = -15

10y + 17.5 + 3y = - 15

13y = -32.5

y = - 2.5

Then the value of the variable 'x' is calculated as,

x = - 2(-2.5) - 3.5

x = 5 - 3.5

x = 1.5

Then the value of the expression (x + y) is calculated as,

x + y = 1.5 + (-2.5)

x + y = 1.5 - 2.5

x + y = - 1

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Therefore , the solution of the given problem of unitary method comes out to be we have successfully created two groups of cards with the same sum.

After determining the dimensions of one tiny slice, multiply the sum by two to complete a work using unitary procedure. The unit variable methodology, which just requires an expression, can be used to distinguish a coded unit from a certain group or set of groups. 40 pens, for example, might cost Rs. 4,000, which would be equal to $1.01 and 4000 pounds. It's possible that one country will have total control over the method employed to do this. Virtually every living creature has a distinctive quality.

Here,

We can create two groups of cards with the same sum as follows:

Group 1: 1, 2, 5, 8, -4

Group 2: -2, -4, 5, 8, 2

To check that the two groups have the same sum, we can add up the values of each group:

Group 1 sum: 1 + 2 + 5 + 8 - 4 = 12

Group 2 sum: -2 - 4 + 5 + 8 + 2 = 9

We can see that the sum of Group 1 is 12, and the sum of Group 2 is 9. However, we want the sums to be the same. We can make them the same by adding 3 to the sum of Group 2, which gives:

Group 1 sum: 12

Group 2 sum: 12

Therefore, we have successfully created two groups of cards with the same sum, using as many cards as possible from the given set of card numbers.

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Answer:

Step-by-step explanation:

We can start by combining the two fractions by finding a common denominator:

sin(a)/(1+cos(a)) + (1+cos(a))/sin(a)

= sin^2(a)/(sin(a)(1+cos(a))) + (1+cos(a))^2/((1+cos(a))sin(a))

= sin^2(a) + (1+cos(a))^2 / (sin(a)(1+cos(a)))^2

= (sin^2(a) + 1 + 2cos(a) + cos^2(a)) / (sin^2(a) + 2sin(a)cos(a) + cos^2(a))

= (2 + 2cos(a)) / (sin(a) + cos(a))^2

= 2(1+cos(a)) / (sin(a) + cos(a))^2

= 2(cos^2(a/2)/sin^2(a/2)) / (sin(a/2) + cos(a/2))^2 (using the half-angle identities)

= 2tan^2(a/2) / (sin(a/2) + cos(a/2))^2

This expression cannot be simplified further without additional information or context.

Answer:

Step-by-step explanation: you need to rewrite the formula but with the numbers that are given to you so then you multiply and divide by 2 and BOOM you got your answer

Answer:

Step-by-step explanation:

To construct an infinite set of sets of natural numbers such that all of their pairwise symmetric differences are infinite, we can define the following sequence of sets:

S_1 = {1, 2, 3, ...}

S_2 = {2, 3, 4, ...}

S_3 = {1, 3, 5, ...}

S_4 = {2, 4, 6, ...}

S_5 = {1, 4, 7, ...}

S_6 = {2, 5, 8, ...}

...

In general, S_n is the set of natural numbers that are congruent to n mod 2. For example, S_1 is the set of all odd natural numbers, S_2 is the set of all even natural numbers, and so on.

To show that all of their pairwise symmetric differences are infinite, we can consider any two distinct sets S_n and S_m. Without loss of generality, assume that n < m. Then, the symmetric difference between S_n and S_m is the set of natural numbers that are congruent to n or m mod 2, but not both:

S_n Δ S_m = {k ∈ N : (k ≡ n mod 2) XOR (k ≡ m mod 2)}

Since n < m, we can see that every other natural number is in this set, and therefore it is infinite. Hence, the sequence {S_n} is a set of sets of natural numbers such that all of their pairwise symmetric differences are infinite

The solution to the system of equations is x =5 and y = -6

From the question, we have the following parameters that can be used in our computation:

12x + 9y = 6

7x + 6y = −1

Multiply (2) by 1.5

So, we have the following representation

12x + 9y = 6

10.5x + 9y = −1.5

Subtract the equations to eliminate y

1.5x = 7.5

So, we have

x = 5

Recall that

12x + 9y = 6

So, we have

60 + 9y = 6

This gives

9y = -54

Divide

y = -6

SO, the value of y is -6

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Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6

The value of the composition of functions are

a) f o g ( 5 ) = 1315

b) g o f ( 5 ) = 59

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the value of the the function be f ( x ) = x² + 6x

Let the value of the function g ( x ) = x + 4

Now , the composition of functions is given by

f o g ( 5 ) is given by

g ( 5 ) = 5 + 4 = 9

So , the value of f ( 9 ) = ( 9 )² + 6 ( 9 ) = 81 + 54 = 135

Therefore , the value of f o g ( 5 ) = 135

Now , the composition of functions is given by

g o f ( 5 ) is given by

f ( 5 ) = ( 5 )² + 6 ( 5 ) = 25 + 30 = 55

Now , the value of g ( 55 ) = 55 + 4 = 59

Therefore , the value of g o f ( 5 ) = 59

Hence , the composition of functions are solved

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Answer: 16

Step-by-step explanation:

Since each bicycle has 2 wheels, this means 2 wheels times 8 bicycles. with comes out to 16 wheels

Answer:

16

Step-by-step explanation

If each bicycle has 2 wheels, we would multiply 2 wheels times 8 bicycles and we would get 16 wheels altogether.

The remainder theorem can be used to determine the volume of a cage with a 15-inch height since b = 15, which results in a volume of 2160 inch3.

The size of an item in 3 directions is the area that is covered by its boundaries. The amount of room an object occupies in three aspects is measured by its height, which is given in cubic inches. A few of illustrations of cubic units are cm3 and in3. On the other perspective, an item's mass is used to measure what more matter it contains. The typical method to ascertain an object's mass is to weigh it, either in pounds or kilograms. Unlike the fundamental equations for the area of a rectangular box, which is length, breadth, and height, the primary equation for volumes is length, width, and height.

given

Height is listed as b and is 18 inches.

B = 18 s= b-3 (from I = 18 - 3 s = 15 as a result.

Therefore, volume

volume of a rectangle = l x b x h V= 18 x 15 x 15 = 4,050 inch3

3) Height = 15 then b = 15 b -15 = 0 if height = 15.

The remaining theorem's definition is:

To get a smaller polynomial and a remainder, we divide a polynomial P(x) by the factor (x - a). The polynomial does not have to contain the factor.

= 2160

The remainder theorem can be used to determine the volume of a cage with a 15-inch height since b = 15, which results in a volume of 2160 inch3.

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Answer:

Step-by-step explanation:

2x³+54=2(x³+27)=2(x³+3³)

a³+b³=(a+b)(a²-ab+b²)

complete it

Answer:

$2700

Step-by-step explanation:

The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -6 and b = 360, so we have:

x = -360/(2*(-6)) = 30

Therefore, the company will maximize its profit by selling 30 units of the product.

p(x) = -6x^2 + 360x - 2500

(x = 30 )

p(30) = -6(30)^2 + 360(30) - 2500 = 2700

So, the maximum profit for the company is $2700.

The mean age of the 12 students is approximately 17.02 years, the variance is 37.41, and the standard deviation is approximately 6.117 years.

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
To calculate the mean, variance, and standard deviation of the ages of the 12 students, we first need to find the sum of the ages:

Sum = 16 + 17 + 18 + (16/0.5) + 17 + 18 + 19 + 17 + 17 + 13 + (17/2/2) + 16

= 16 + 17 + 18 + 32 + 17 + 18 + 19 + 17 + 17 + 13 + 4.25 + 16

= 204.25

Mean = Sum / Number of students = 204.25 / 12 ≈ 17.02 years

To calculate the variance, we need to subtract the mean from each age, square the differences, add up the squares, and divide by the number of students minus one:

Variance = [ (16 - 17.02)² + (17 - 17.02)² + ... + (16 - 17.02)² ] / (12 - 1)

= [ 0.16 + 1.96 + ... + 0.16 ] / 11

= 37.41

Finally, we can calculate the standard deviation by taking the square root of the variance:

Standard deviation = √(Variance) ≈ 6.117

Therefore, the mean age of the 12 students is approximately 17.02 years, the variance is 37.41, and the standard deviation is approximately 6.117 years.

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Using the unitary method, we found that the cost of packing the unit weight of the chocolate box is  [tex]\frac{x^2}{4(x+2)}[/tex] , for x ≥ 3.

What is meant by the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, and then multiplying that value to determine the required value. Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

Given,

  The cost of packing a box of chocolates = 1/4 * x²

 where x  = Number of chocolates and x ≥ 3 for one box.

Weight of a box of chocolates = x + 2

We are asked to find the cost of packing 1 unit weight of chocolates.

This can be found using the unitary method.

Cost of unit weight = Cost of packing a whole box / Total weight of the box.

                                = (1/4 * x²) / (x + 2)

                                 = [tex]\frac{x^2}{4(x+2)}[/tex] , for x ≥ 3

Now in the figure below, we are given four options.

On solving the first option we get the above equation as follows.

[tex]\frac{1}{4} x - \frac{1}{2} + \frac{1}{x+2}[/tex]  

Taking LCM and making the same denominator for all.

[tex]\frac{x(x+2) - 2(x+2) +4 }{4(x+2)} = \frac{x^2+2x-2x-4+4}{4(x+2)} = \frac{x^2}{4(x+2)}[/tex]

Therefore using the unitary method, we found that the cost of packing the unit weight of the chocolate box is  [tex]\frac{x^2}{4(x+2)}[/tex] , for x ≥ 3.

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The Mean Value Theorem states that if a function f is continuous on the interval [a,b] and differentiable on (a,b), then there exists at least one c in the interval (a,b) such that


f'(c) = (f(b) - f(a)) / (b - a)

For the function f(x) = x/x+2, we can set
f(a) = a/a+2 and f(b) = b/b+2

Therefore, the equation we need to solve is:
(b/b+2 - a/a+2) / (b - a) = c/(c+2)

After rearranging, we get:
(b-a)c + 2(a-b) = 0

Solving this, we find that c = 2(b-a) / (a-b)

Therefore, the values of c that satisfy the Mean Value Theorem for the given function f(x) = x/x+2 are c = 2(b-a) / (a-b).

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The reliability of experts who interpret lie detector tests in criminal investigations can be determined by analyzing the results of the random sample of 280 cases that were studied. It is important to look at the overall accuracy of the interpretations, as well as any potential biases or errors that may have affected the results.

To analyze the results, we can look at the number of correct and incorrect interpretations, and calculate the percentage of accurate interpretations. This will give us an overall measure of the reliability of the experts.

We can also look for any potential biases or errors that may have affected the results. For example, we may want to examine whether certain experts were more likely to make accurate interpretations than others, or whether there were any factors that may have influenced the interpretations, such as the type of crime or the suspect's behaviour.

Overall, the reliability of experts who interpret lie detector tests in criminal investigations can be determined by analyzing the results of a random sample of cases and looking for any potential biases or errors that may have affected the results. By doing this, we can gain a better understanding of the accuracy and reliability of these experts and their interpretations.

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Answer:

Step-by-step explanation:

no because they don't have the same dominator

Answer:

are you trying to find the derivative if so the answer will be 0

Step-by-step explanation:

Answer:

216÷4=54

Step-by-step explanation:

we have to divide the bulb he fixed in per room by how many he fixes I guess so

Answer: He can fix in a total of 54 rooms which makes 216 bulbs fixed by him.

Step-by-step explanation:

4 bulbs are present in = 1 room

thus, 216 bulbs are present in = 216/4 = 54 rooms

So, he fixes 54 rooms in total

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David's opportunity cost of producing 1 pound of watermelon is 4 pounds of zucchini, whereas Morgan's opportunity cost of producing 1 pound of watermelon is 3 pounds of zucchini. Because David has a higher opportunity cost of producing watermelon than Morgan, Morgan has a comparative advantage in the production of watermelon, and David has a comparative advantage in the production of zucchini.

What is opportunity cost?

Opportunity costs are the possible advantages that a person, investor, or company forgoes while deciding between two options. Opportunity costs are by definition invisible, making it simple to ignore them.

The best input combinations to achieve the highest level of output are displayed on the production potential frontier.

The individual who has a lower opportunity cost in output than another individual enjoys a comparative production advantage.

David's watermelon production -

54 units watermelon = 216 units zucchini

1 unit watermelon = 216/54 units zucchini

1 unit watermelon = 4 units zucchini

Morgan's watermelon production -

108 units watermelon = 324 units zucchini

1 unit watermelon = 324/108 units zucchini

1 unit watermelon = 3 units zucchini

Morgan has absolute advantage in production of Zucchini and Morgan has also absolute advantage in production of watermelon.

Therefore, David's opportunity cost of 1 pound of watermelon is 4 pound of Zucchini and Morgan's opportunity cost of 1 pound of watermelon is 3 pound of Zucchini.

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Answer:

Step-by-step explanation:

Black = 9, Blue = 6, Green = 1, Red = 4

Pr(Black) = 9/18 = 1/2 = 50%

Pr(Red or Green) = 5/18 = 28%

therefore it is 22% (50-28) more likely that Mrs. Devon will select a black pen than a red or green

Answer:

1. 9+6+1+4=20

Black 9/20 = 0.45 = 45%

Red or green = 5/20 = 0.25= 25%

selecting black is 45-25 = 20%

The value of y in the regular dodecagon is 8°

What is Dodecagon?

Dodecagon is is a closed figure that has 12 sides and 12 angles. It has 12 vertices, each of which is connected to two sides.

What is Regular Dodecagon?

Regular Dodecagon is has all 12 sides of equal length and all angles of equal measure. It is a 12-sided polygon that is symmetrical.

To find the interior angle ,

= (n - 2)180° where the sides is 12

= (12-2)180°

= 1800°

= 1800/12  = 150°

i.e, each angle of the dodecagon = 150°

To determine this,

17y + 14° = 150°

17y = 150° - 14°

17y = 136°

y = 136°/17

y = 8°

Therefore, the value of y = 8°

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In the given right triangle the length of side a is approximately 9.92 units.

A right triangle is a variety of triangles with a 90-degree angle (a right angle). The junction of the triangle's two legs, or the sides that meet at a right angle, creates this angle. The hypotenuse, which is always located opposite the right angle, is the third side of a right triangle.

A key characteristic of right triangles is the Pythagorean theorem, which asserts that the square of the hypotenuse is equal to the sum of the squares of the two legs of a right triangle.

We can use the trigonometric ratios of sine, cosine, and tangent to solve for the missing side of a right triangle. Since we are given the measure of one acute angle and the length of the side opposite that angle, we can use the tangent ratio:

tan A = opposite/adjacent

tan 51° = a/8

Multiplying both sides by 8:

a = 8 tan 51°

Using a calculator, we find that:

a ≈ 9.92

Therefore, the length of side a is approximately 9.92 units.

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Answer:

D. If an experiment is​ blinded, then any effect arising from psychological factors should affect all groups equally.

Answer:

Step-by-step explanation:

half the base times the height

Therefore , the solution of the given problem of range comes out to be  the range of the composite function f(g(h(x))) is [0, ∞).

By calculating the variable's maximum observed value and subtracting its minimum observed value, the variable range is obtained (minimum). Potential range or finite difference bounds include different steel pricing and various designs. A procedure or action's breadth or scope insight into the maximum or expected range of a weapon's projectile. The number between the minimum and maximum of a list and set is known as its range. You can locate the area by lining up all the numbers.

Here,

The range of a function is the set of all possible output values. Let's consider each function separately:

f(x) = |x-3|

The absolute value of any number is always non-negative, so the range of f(x) is [0, ∞).

g(x) = -(x-4)²-3

The square of any real number is always non-negative, so the range of the function -(x-4)² is (-∞, 0]. Subtracting 3 from this range gives the range of g(x) as (-∞, -3].

h(x) = -7

The output of h(x) is always -7, so the range of h(x) is {-7} (a singleton set containing only the number -7).

Putting it all together, the range of the composite function f(g(h(x))) is [0, ∞).

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Answer:

Hope the picture helps! <3

Step-by-step explanation:

The total annual income from both investment is

(14x -65000)/100

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

I = x× 9/100

I = 9x/100

(13000 - x) × 5/100

= (65000-5x)/100

therefore the total amount annual income

= 9x /100 - (65000-5x)/100

= (9x+5x-65000)/100

= (14x - 65000)/100

therefore the total annual income = (14x -65000)/100

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In a case whereby a  person invested $13,000, part of the money, x, was placed in a stock that paid 9% annual interest the total annual income from both investments, I, as a function of x is I= [ 0.14X+12350 ]

The Amount that was invested =$13,000

Then the Profitable Investment which was givden as 9% can be expressed as =  [ X(1.09) ]

Then from the question we can see the Negative Investment, which is -5% and can be expressed as = [ (13,000-X)(1-0.05) ]

The we can sum up as

I= [ X(1.09) ]+ [ (13000-X)(0.95) ]

This can be simplified as

I= [ 1.09X-0.95X+12350 ]

I= [ 0.14X+12350 ]

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Using third-order Newton's interpolating a polynomial the value of f(2) is  (25ln(2))/9.

To estimate the value of f(2) using a third-order Newton's interpolating polynomial with the given data points, we first need to calculate the divided differences. The divided differences are defined as:

f[xi] = f(xi) for i = 1, 2, 3

f[x1,x2] = (f[x2] - f[x1]) / (x2 - x1) = (ln(4) - ln(1)) / (4 - 1) = ln(4) / 3

f[x2,x3] = (f[x3] - f[x2]) / (x3 - x2) = (ln(6) - ln(4)) / (6 - 4) = ln(3) / 2

f[x1,x2,x3] = (f[x2,x3] - f[x1,x2]) / (x3 - x1) = ((ln(3) / 2) - (ln(4) / 3)) / (6 - 1) = -0.018

Using these divided differences, we can write the third-order Newton's interpolating polynomial as:

f(x) = f[x1] + f[x1,x2](x - x1) + f[x1,x2,x3](x - x1)(x - x2) + f[x1,x2,x3,x4](x - x1)(x - x2)(x - x3)

Substituting the values of the data points and the divided differences we calculated, we get:

f(x) = ln(1) + ln(4)/3 (x - 1) - 0.018 (x - 1)(x - 4)

Simplifying this expression, we get:

f(x) = ln(1) + (ln(4)/3)x - (11ln(2)/9) + (ln(2)/9)x^2

To estimate f(2), we plug in x = 2:

f(2) = ln(1) + (ln(4)/3)(2) - (11ln(2)/9) + (ln(2)/9)(2)^2

f(2) = 2ln(2) - (11ln(2)/9) + (ln(2)/9)(4)

f(2) = (25ln(2))/9

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