The following triangle is isosceles. Find the measure of angle EFD.

Options:

28 degrees
44 degrees
20 degrees
36 degrees

The elasticity of expenditure is given by;e = δY/δX * X/Ywhere δY/δX is the slope of the demand curve and can be obtained by taking the derivative of the demand curve. X/Y is the expenditure share of X.In the given equation:

Y = 7.6182 + 0.08145X, we can rearrange to give X in terms of Y; X = (Y - 7.6182) / 0.08145Hence, expenditure share of X (X/Y) = (262.5 - 7.6182) / 29 = 8.9743.

Now we need to find δY/δX, by taking the derivative of the demand equation above, we get;δY/δX = 0.08145*Hence, the elasticity of expenditure is;e = δY/δX * X/Y = 0.08145*(262.5/29) = 0.731Conclusion:The value of elasticity of expenditure obtained above is less than one (0.731 < 1). This implies that the demand for X is inelastic. Hence, a 1% increase in the price of X will cause less than 1% decrease in the quantity demanded. Conversely, a 1% decrease in the price of X will cause less than 1% increase in the quantity demanded.

The elasticity of expenditure (E) is a metric used to measure the sensitivity of the quantity demanded of a good or service to a change in the price of that good or service. If E > 1, then the good or service is considered elastic. This means that a small change in price can cause a significant change in the quantity demanded of the good or service.

If E = 1, then the good or service is considered to have unit elasticity. This means that a change in price will cause a proportional change in the quantity demanded. If E < 1, then the good or service is considered inelastic. This means that a change in price will cause a relatively small change in the quantity demanded. In the given model above, the elasticity of expenditure was computed as 0.731. Since this value is less than one, it implies that the demand for the good is inelastic. A 1% increase in the price of the good will cause a less than 1% decrease in the quantity demanded. Conversely, a 1% decrease in the price of the good will cause less than a 1% increase in the quantity demanded.

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Two of the following are not characteristics of surveys. They are; A. The study compares two or more treatments and B. Statistical analysis is applied to the results of the study. Surveys are important tools that help researchers to collect data for research purposes.

A survey is a research design used to collect data on specific behaviors and attitudes, or attributes of a sample. Surveys typically involve questionnaires that are administered to respondents. The survey questions should be carefully constructed so as to produce valid and reliable data. There are some characteristics of surveys. These characteristics include the following:

The study involves one or more treatment groups and a control group: Surveys typically involve a sample of people who are randomly selected to participate in the study. There is usually one or more treatment groups who receive some type of treatment or intervention, and a control group who do not.Data are gathered during the course of the study: Surveys typically involve collecting data from respondents over a period of time. Data can be collected through various methods such as questionnaires, interviews, or observations.

Statistical analysis is applied to the results of the study: The data collected during the survey is analyzed using statistical techniques. This allows researchers to draw conclusions about the population being studied.The study compares two or more treatments: Surveys can be used to compare two or more treatments. For example, a survey can be used to compare the effectiveness of two different medications for a particular illness.However, two of the following are not characteristics of surveys. They are; A. The study compares two or more treatments and B. Statistical analysis is applied to the results of the study.

Surveys are an important tool that researchers use to collect data on specific behaviors and attitudes or attributes of a sample. Surveys typically involve questionnaires that are administered to respondents. The data collected during the survey is analyzed using statistical techniques. However, the study does not always compare two or more treatments and statistical analysis is not always applied to the results of the study.

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The degree of elasticity of substitution is   1/4. The correct answer is A.

The degree of elasticity of substitution measures the responsiveness of the substitution between two inputs (in this case, labor and capital) in the production function.

It is calculated using the formula:

E = - (∂ln(K/L)) / (∂ln(MPL/MPK))

where E is the elasticity of substitution, K is capital, L is labor, MPL is the marginal product of labor, and MPK is the marginal product of capital.

In the given production function Q = L¹/4 + K1/4, the partial derivatives required to calculate the elasticity of substitution are:

∂ln(K/L) = (1/4) * (1/K - 1/L)

∂ln(MPL/MPK) = (1/4) * (1/(LQ) - 1/(KQ))

After simplifying the expressions, we find:

E = - [(1/K - 1/L) / (1/(LQ) - 1/(KQ))]

Since Q = L¹/4 + K1/4, the denominator can be rewritten as:

1/(LQ) - 1/(KQ) = 1/(L(L¹/4 + K1/4)) - 1/(K(L¹/4 + K1/4))

                = 1/(L^(5/4)) - 1/(K^(5/4))

Substituting this back into the equation for E, we have:

E = - [(1/K - 1/L) / (1/(L^(5/4)) - 1/(K^(5/4)))]

By simplifying further, we find that the degree of elasticity of substitution is equal to 1/4.

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Answer:

Sasha will pay $99.

Step-by-step explanation:

10% of 90 is 9 so add that together you get $99.

Answer:

Amount paid by Sasha = bicycle price + tax

=> 90 + 10% of 90

=> 90 + 10/100 * 90

=> 90 + 9 (Once you solve it, you will get the answer as 9)

=> 99

Therefore the total price of the bicycle = 99 dollars and the tax paid will be 9 dollars

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Answer:

4⁶

Step-by-step explanation:

Exponent Rule: [tex]\frac{b^m}{b^n} =b^{m-n}[/tex]

4⁹/4³ = 4⁹⁻³ = 4⁶

Answer:

10

Step-by-step explanation:

0.008 * 10 = 0.08 for every zero behind the one in ten it will go up for ex. > 567 * 10 = 5670 > 729 * 1000 = 729,000, the other answer also explains it pretty well

Answer:

10

Step-by-step explanation:

If your familliar with scientific notation, this should be pretty simple. Each time you multiply by 10, you remove a decimal place, making the number larger. Divide by 10, and vice versa. Since your only getting rid of one decimal place from 0.008 to 0.08, you only need to multiply by 10

Answer: There will be 30 tiles in each row.

Step-by-step explanation:

To find the number of tiles in each row, we need to determine the room's dimensions and the size of each tile. Given that the area of the square room is 225 square feet, we know that the room is a perfect square. Let's denote the length of one side of the square as "x" feet.

We can calculate the length of one side of the square by taking the square root of the area:

x = √225 = 15 feet

Since each tile is 6 inches by 6 inches, we need to convert the measurements to feet: 6 inches = 6/12 = 0.5 feet

To determine the number of tiles in each row, we divide the length of the side of the room by the length of each tile:

Number of tiles in each row = (Side length of the room) / (Length of each tile)

Number of tiles in each row = 15 feet / 0.5 feet = 30 tiles

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Answer:

4 HOPE IM NOT WRONG O-O

Step-by-step explanation:

(a) The average cost of the promotion per tire sold by Grear can be calculated by simulating the refund amounts for a large number of trials. (b) To determine the probability that Grear will refund more than $25 for a tire, we again simulate a large number of trials.

(a) The average cost of the promotion per tire sold by Grear can be calculated by simulating the refund amounts for a large number of trials. Assuming each trial represents a tire sold, we can calculate the refund amount for each trial based on the difference between the tire's lifetime and 30,000 miles. By averaging the refund amounts over the trials, we can determine the average cost of the promotion. Let's simulate at least 1,000 trials to obtain a reliable estimate.

(b) To determine the probability that Grear will refund more than $25 for a tire, we again simulate a large number of trials. For each trial, we calculate the refund amount as we did in part (a). Then, we count the number of trials where the refund amount exceeds $25 and divide it by the total number of trials. This will give us the probability of refunding more than $25. By simulating at least 1,000 trials, we can obtain a reasonably accurate estimation of the probability.

Due to the constraints of the current text-based interface, I'm unable to perform the simulations and calculations required to provide you with the specific numerical answers. However, you can apply the described methodology to conduct the simulations using programming or spreadsheet software to obtain the desired results.

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Given data:

Number of members in North Carolina = 50

Unknown:

Number of members in North Carolina house of representatives = ?

To solve this problem, the second sentence is very important; let us construe it.

  Let the number of members in North Carolina house of representatives  = N

Then,

     Number of members in North Carolina  = N - 70  

Since it is 70 fewer;

     So, input the given number of members in North Carolina;

                      50 = N - 70

                           N  = 50 + 70  = 120

Number of members in North Carolina house of representatives is 120.

Answer:

30

Step-by-step explanation:

also brainly is for learning not getting answers you couldve done with on your fingers

Answer:

5l² + 25ln

Step-by-step explanation:

Step 1: Write expression

4l(10n - 3m + 2l) - 3l(l - 4m + 5n)

Step 2: Distribute

40ln - 12lm + 8l² - 3l² + 12lm - 15ln

Step 3: Combine like terms

5l² + 25ln

Answer:

d= - 9

Step-by-step explanation:

-2d-15+15=3+15

-2d=18

-2d/-2 = 18/-2

d= -9

Answer:

The answer is B , or -3.

Answer:

corresponding angles

Answer:

Three possible amounts are: 35+73+77

Step-by-step explanation:

The total amount of money the brother withdrew is 185 because 185 is 20 more than 165 the total of money Julie withdrew. Any three numbers that add up to 185 are possible answers.

Answer: x=no solution

Step-by-step explanation:

Answer:

Divide 6 miles by 0.5 hour:  6/0.5 = 12 miles per hour.

Step-by-step explanation:

The average speed must she rides her bike to get there on time will be 12 miles per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

In a half-hour, Sarah is meeting her friends at the lake, 6 miles from her house.

The average speed must she rides her bike to get there on time will be

S = 6 / (1/2)

S = 6 x 2

S = 12 miles per hour

The average speed must she rides her bike to get there on time will be 12 miles per hour.

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Answer:

Sum of fractions [tex]=\frac{14}{9}[/tex]

Step-by-step explanation:

Given numbers are [tex]-3,-2,-1,0,1,2,3,4,5[/tex]

To find: fraction of the given numbers that are natural numbers, whole numbers, negative integers and sum of all these fractions

Solution:

Natural numbers are [tex]1,2,3,4,5[/tex]

Fraction of the given numbers that are natural numbers[tex]=\frac{5}{9}[/tex]

Whole numbers are [tex]0,1,2,3,4,5[/tex]

Fraction of the given numbers that are whole numbers[tex]=\frac{6}{9}=\frac{2}{3}[/tex]

Negative integers are [tex]-3,-2,-1[/tex]

Fraction of the given numbers that are negative integers[tex]=\frac{3}{9}=\frac{1}{3}[/tex]

Sum of fractions [tex]=\frac{5}{9}+\frac{2}{3}+\frac{1}{3}=\frac{5+6+3}{9}=\frac{14}{9}[/tex]

Answer:

90 customers

Step-by-step explanation:

Total shift time  = 2 hours

1 hours = 60 minutes

Total shift time minutes = 2*60 minutes = 120 minutes

Average Time taken to serve 1 customer = 1 minute 20 seconds

lets convert  1 minute 20 seconds in fraction

60 seconds = 1 minute

20 seconds  = 20/60 minutes = 1/3 minutes

Thus,

Average Time taken to serve 1 customer = 1 minute + 1/3 minutes = 4/3 minutes

Lets assume she served x customer in her 2 hour shift

total time taken to serve x customer =x*Average Time taken to serve 1 customer = 4x/3 minutes

Given that she the customers for her shift time which is 120 minutes

4x/3 minutes = 120 minutes

x = 120*3/4 = 90

Thus,

Kimiko served 90 customers and this is the number of customer which came through the drive thru during those 2 hours.

= 3x + 9x = 6x + 42

= 3x + 9x - 6x = 42 ( transposing +6x from LHS to RHS changes +6x to -6x )

= 12x - 6x = 42

= 6x = 42

= x = 42 ÷ 6 ( transposing ×6 from LHS to RHS changes ×6 to ÷6 )

= x = 7

Let us check whether we have found out the correct value of x or not by placing 7 in the place of x :

= ( 3 × 7 ) + ( 9 × 7 ) = 6 × 7 + 42

= 21 + 63 = 42 + 42

= 84 = 84

= LHS = RHS

Hence proved we have derived the correct value of x .

Therefore , the value of x = 7 .

The required number is 38 when 1/4 of some number is 8.5, the number is 27.32 when the difference between some number and 22.52 is 4.8, and the number is -1.32 when -6.6 is some number of times as large as 5.

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

1/4 of some number is 8.5 which is given in the question.

Let the required number would be x

As per the given condition, the solution would be as:

⇒ (1/4) x = 8.5

⇒ x = 8.5 × 4

⇒ x = 38

The difference between some number and 22.52 is 4.8 which is given in the question.

Let the required number would be y

As per the given condition, the solution would be as:

⇒ y - 22.52 = 4.8

⇒ y = 4.8 + 22.52

⇒ y = 27.32

-6.6 is some number of times as large as 5 which is given in the question.

Let the required number would be z

As per the given condition, the solution would be as:

⇒ 5 × z = -6.6  

⇒ z = -6.6 / 5

⇒ z = -1.32  

Hence, the required number is 38 when 1/4 of some number is 8.5, the number is 27.32 when the difference between some number and 22.52 is 4.8, and the number is -1.32 when -6.6 is some number of times as large as 5.

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Answer:

162

Step-by-step explanation:

Step 1: Define

x⁴ + 9x²

x = -3

Step 2: Substitute and Evaluate

(-3)⁴ + 9(-3)²

81 + 9(9)

81 + 81

162

Answer:

162

Step-by-step explanation:

We are given four functions, and we need to determine the domain for each of them. The functions are as follows: a)[tex]f(x) = x^2 - 3x^4[/tex], b) [tex]f(x) = (x-3)/(x^2 - 10)[/tex], c) [tex]M(x) = √(√(x-5)/(x-3))[/tex], d) g(x) = [tex]e^{(2x-5)/(2x-15)[/tex]. In this problem, we will analyze each function to identify its domain.

Explanation: To find the domain of a function, we need to consider any restrictions on the variable 'x' that would make the function undefined.

a) For the function[tex]f(x) = x^2 - 3x^4[/tex], there are no specific restrictions or denominators that would cause the function to be undefined. Therefore, the domain of f(x) is all real numbers.

b) In the function [tex]f(x) = (x-3)/(x^2 - 10)[/tex], the denominator should not be equal to zero. Thus, we need to exclude any values of 'x' that would make [tex]x^2 - 10 = 0[/tex]. Solving this equation, we find x = ±√10. Therefore, the domain of f(x) is all real numbers except x = ±√10.

c) For the function M(x) = √(√(x-5)/(x-3)), the expression inside the square roots must be greater than or equal to zero to avoid taking the square root of a negative number. Additionally, the denominator (x-3) should not equal zero. Solving these conditions, we find that the domain of M(x) is x ≥ 5 and x ≠ 3.

d) In the function g(x) = [tex]e^{(2x-5)/(2x-15)[/tex], the denominator (2x-15) should not be equal to zero. Thus, we need to exclude x = 7.5 from the domain. Apart from that, there are no other restrictions. Therefore, the domain of g(x) is all real numbers except x = 7.5.

In summary, the domains of the given functions are as follows:

a) f(x): All real numbers

b) f(x): x ≠ ±√10

c) M(x): x ≥ 5 and x ≠ 3

d) g(x): x ≠ 7.5

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The socially optimal level of output in the Troubled Waters region is 7.5 units, and the corresponding price is $5. The consumer surplus at this level of output is $37.5.

To calculate the socially optimal level of output, we need to find the point where marginal cost (MC) equals the inverse demand curve (P). In this case, MC(Q) = 5 and P(Q) = 10 - Q. Setting these equal to each other, we have:

5 = 10 - Q

Solving for Q, we find Q = 5. The socially optimal level of output is thus 5 units.

To find the corresponding price, we substitute the value of Q into the inverse demand curve:

P = 10 - 5 = 5

So the socially optimal price is $5.

Consumer surplus is the difference between what consumers are willing to pay for a good and what they actually pay. To calculate consumer surplus, we need to integrate the area under the demand curve from 0 to the socially optimal quantity (Q = 5). Using the formula for the area under the curve, we find:

Consumer Surplus = ∫[0,5] (10 - Q) dQ

= [10Q - (Q^2/2)] [0,5]

= [(10*5) - (5^2/2)] - [(10*0) - (0^2/2)]

= (50 - 12.5) - (0 - 0)

= 37.5

Therefore, the consumer surplus at the socially optimal level of output is $37.5.

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Answer:

=a^32

Step-by-step explanation:

(a^8)^4= a^8.4

=a^8.4