9x+ 27 = 9(x+ 2) + 9

a. The substitution effect causes an increase of 10 units of good x due to the price change.   b. The income effect causes an increase of 10 units of good x due to the doubling of real income.



a. To calculate the substitution effect, we need to hold the utility constant. Since the price of good x decreased to $0.5, we can consider the new price ratio as 0.5:1 (x:y). Initially, with a budget of $10, we could purchase 10 units of good y. With the new price ratio, the consumer can buy 20 units of x for the same $10 budget. Therefore, the substitution effect leads to an increase of 20 - 10 = 10 units of x.

b. To calculate the income effect, we need to consider the change in real income caused by the price change. With the price of x decreasing to $0.5 and the consumer's disposable income remaining the same, the consumer's real income doubles. Since the utility function has an income elasticity of 1 for good x (as it appears in the utility function linearly), the consumer will allocate the same proportion of income to good x. Therefore, with the doubled real income, the consumer will purchase twice as much of good x.

Thus, the income effect leads to an increase of 10 units of x.

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Answer:

C.

Step-by-step explanation:

the answer is C. because if you notice how on the scattered graph the numbers go from 0-9 and 0-90. on C. it says 0years which will have an income of 8,000 dollars. divide and multiply and then switch flip.

Answer:

c

Step-by-step explanation:

Explain what? What would you like help with? :)

Answer:

whats ur question

Step-by-step explanation:

The maximum possible volume of a rectangular box with a fixed diagonal length l can be found using the Pythagorean Theorem. Since the diagonal of a rectangular box is the hypotenuse of a right triangle, it can be written as l^2 = a^2 + b^2.

To find the maximum possible volume, we can take the derivative of the volume function with respect to both the length a and the width b. After some algebra, this derivative can be simplified to the following equation: (2a - l)(2b - l) = 0. This equation states that either a = l/2 or b = l/2, which makes the box a cube with sides of length l/2. Therefore, the maximum possible volume of a rectangular box with fixed diagonal length l is (l/2)^3 = (l^3)/8.

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Answer:

A. <

B. =

C. >

D. <

Step-by-step explanation:

Answer:

a. 3.07 < 3.7

b. 12.3 = 12.30

c.0.7 > 0.65

d. 1.82 < 1.89

Step-by-step explanation:

a. By looking at the tenths place, you can see that 3.07 is less than 3.7.

b. By looking at the hundredths place, you can see that 12.3 is equal to 12.30.

c. By looking at the tenths place, you can see that 0.7 is greater than 0.65.

d. By looking at the hundredths place, you can see that 1.82 is less than 1.89.

Answer:

the answer is 1/5

Step-by-step explanation:

The volume of cylinder is 616 cm^3.

Answer:

Step-by-step explanation:

$12(20b/$48)=5b

After deducting the amounts for Federal tax, Social Security, and other deductions, the net pay for working 40 hours at an hourly wage of $8.95 is $276.61. Option A.

To calculate the net pay, we need to subtract the deductions from the gross pay.

Given:

Hours worked = 40

Hourly wage = $8.95

Federal tax deduction = $35.24

Social Security deduction = $24.82

Other deductions = $21.33

First, let's calculate the gross pay:

Gross pay = Hours worked * Hourly wage

Gross pay = 40 * $8.95

Gross pay = $358

Next, let's calculate the total deductions:

Total deductions = Federal tax + Social Security + Other deductions

Total deductions = $35.24 + $24.82 + $21.33

Total deductions = $81.39

Finally, let's calculate the net pay:

Net pay = Gross pay - Total deductions

Net pay = $358 - $81.39

Net pay = $276.61

Therefore, the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33 is $276.61. SO Option A is correct.

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Note the correct and the complete question is

What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?

A.) $276.61

B.) $326.25

C.) $358.00

D.) $368.91

Answer:

87.72%

Step-by-step explanation:

What is the fraction (ratio) 50/57 as a percent value?

49/57 = ? ... 51/57 = ?

Detailed calculations below:

Introduction. Fractions

A fraction consists of two numbers and a fraction bar:

50/57

The number above the bar is the numerator: 50

The number below the bar is the denominator: 57

Divide the numerator by the denominator to get fraction's value:

Val = 50 ÷ 57

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% = p/100 = p ÷ 100.

Calculate fraction's value.

Divide the numerator by the denominator to get fraction's value:

50/57 =

50 ÷ 57 ≈

0.87719298245614

Note:

100/100 = 100 ÷ 100 = 100% = 1

Multiply a number by the fraction 100/100,

... and its value doesn't change.

Calculate the percent value:

0.87719298245614 =

0.87719298245614 × 100/100 =

(0.87719298245614 × 100)/100 =

87.719298245614/100 =

87.719298245614% ≈

87.72%;

In other words:

1) Calculate fraction's value.

2) Multiply that number by 100.

3) Add the percent sign % to it.

Answer:

:: written in two ways ::

Not rounded:

50/57 = 87.719298245614%

Rounded to maximum 2 decimals:

50/57 ≈ 87.72%

Signs: % percent, ÷ divide, × multiply, = equal, / fraction bar (division bar), ≈ approximately equal;

Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark;

More operations of this kind:

49/57 = ? ... 51/57 = ?

Answer:

0.489 yards per second

Step-by-step explanation:

Answers:

We see that ∠2 and ∠3 are corresponding angles

And since the lines u and v are parallel, ∠2 and ∠3 are congruent.

So, m∠3 = 150

We see that ∠1 and ∠2 are vertically opposite angles

Thus, ∠1 and ∠2 are congruent

So, m∠1 = 150

The relationship between ∠1 and ∠3 is an example of the following rule

When parallel lines are cut by a transversal, alternate interior angles are congruent.

Explanation:

The angles formed by two parallel lines and a transversal that are on the same side of the transversal and in the same position from the parallel lines are called corresponding angles. These angles have the same measure so they are also congruent.

So, we can fill the first part as:

We see that ∠2 and ∠3 are corresponding angles

And since the lines u and v are parallel, ∠2 and ∠3 are congruent.

So, m∠3 = 150

On the other hand, two opposite angles formed by two lines that cross are called vertically opposite. So, these angles have the same measure.

So, we can fill the second part as:

We see that ∠1 and ∠2 are vertically opposite angles

Thus, ∠1 and ∠2 are congruent

So, m∠1 = 150

Finally, we can fill the third part as:

The relationship between ∠1 and ∠3 is an example of the following rule

When parallel lines are cut by a transversal, alternate interior angles are congruent.

Because alternate interior angles are the angles that are inside the parallel line and on opposite sides of the transversal.

The diameter of the pizza is 8.96 inches then we get the largest slice of the pizza.

Given, we are offered one slice from a round pizza and the perimeter of the slice is 16 inches.

so, the largest slice in the pizza will have an angle of 90° at the center.

Now, Perimeter of the slice = length of the arc + 2 × radius

16 = 1/4×2πr + 2r

16 = πr/2 + 2r

16 = 3.57r

r = 4.48

So, the diameter of the pizza is 8.96 inches.

Hence, the diameter of the pizza is 8.96 inches then we get the largest slice of the pizza.

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Answers in bold:

S9 = 2

i = 20

R = -2

=====================================================

Explanation:

\(S_0 = 20\) is the initial term because your teacher mentioned \(A_0 = I\) as the initial term.

Then R = -2 is the common difference because we subtract 2 from each term to get the next term. In other words, we add -2 to each term to get the next term.

Here is the scratch work for computing terms S1 through S4.

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{1} = S_{1-1} - 2 & S_{2} = S_{2-1} - 2\\S_{1} = S_{0} - 2 & S_{2} = S_{1} - 2\\S_{1} = 20 - 2 & S_{2} = 18 - 2\\S_{1} = 18 & S_{2} = 16\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{3} = S_{3-1} - 2 & S_{4} = S_{4-1} - 2\\S_{3} = S_{2} - 2 & S_{4} = S_{3} - 2\\S_{3} = 16 - 2 & S_{4} = 14 - 2\\S_{3} = 14 & S_{4} = 12\\\cline{1-2}\end{array}\)

Then here is S5 though S8

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{5} = S_{5-1} - 2 & S_{6} = S_{6-1} - 2\\S_{5} = S_{4} - 2 & S_{6} = S_{5} - 2\\S_{5} = 12 - 2 & S_{6} = 10 - 2\\S_{5} = 10 & S_{6} = 8\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{7} = S_{7-1} - 2 & S_{8} = S_{8-1} - 2\\S_{7} = S_{6} - 2 & S_{8} = S_{7} - 2\\S_{7} = 8 - 2 & S_{8} = 6 - 2\\S_{7} = 6 & S_{8} = 4\\\cline{1-2}\end{array}\)

And finally we arrive at S9.

\(S_{n} = S_{n-1} - 2\\\\S_{9} = S_{9-1} - 2\\\\S_{9} = S_{8} - 2\\\\S_{9} = 4 - 2\\\\S_{9} = 2\\\\\)

--------------------

Because we have an arithmetic sequence, there is a shortcut.

\(a_n\) represents the nth term

S9 refers to the 10th term because we started at index 0. So we plug n = 10 into the arithmetic sequence formula below.

\(a_n = a_1 + d(n-1)\\\\a_n = 20 + (-2)(n-1)\\\\a_n = 20 - 2(n-1)\\\\a_{10} = 20 - 2(10-1)\\\\a_{10} = 20 - 2(9)\\\\a_{10} = 20 - 18\\\\a_{10} = 2\\\\\)

In other words, we start with 20 and subtract off 9 copies of 2 to arrive at 20-2*9 = 20-18 = 2, which helps see a faster way why \(S_9 = 2\)

The value of f'(x) is [(x + 1)(4(x - 1)³) + (x - 1)⁴(1)] / (e²ˣ(x + 3)√x) + (x - 1)⁴(x + 1) / (e²ˣ(x + 3)√x) * (e²ˣ(x + 3) * (√x + (x + 3)/(2√x)) + √x * e²ˣ(x + 3))

To find the derivative of the given function f(x), we can use the product rule and the chain rule. Let's break down the function and differentiate each term step by step:

f(x) = (x - 1)⁴(x + 1) / (e²ˣ(x + 3)√x)

Applying the product rule, we have:

f'(x) = [(x + 1)(d/dx[(x - 1)⁴]) + (x - 1)⁴(d/dx[(x + 1)])] / (e²ˣ(x + 3)√x) + (x - 1)⁴(x + 1) / d/dx[(e²ˣ(x + 3)√x)]

Now let's differentiate each term separately:

d/dx[(x - 1)⁴] = 4(x - 1)³

d/dx[(x + 1)] = 1

d/dx[(e²ˣ(x + 3)√x)] = (d/dx[e²ˣ(x + 3)√x])

To differentiate the last term, we need to use the chain rule. Let's break it down further:

Let u = e²ˣ(x + 3)√x

Taking the derivative of u with respect to x:

du/dx = (d/dx[e²ˣ(x + 3)√x]) = e²ˣ(x + 3) * d/dx[(x + 3)√x] + √x * d/dx[e²ˣ(x + 3)]

Now let's differentiate each term separately:

d/dx[(x + 3)√x] = (√x) + (x + 3) * (1/(2√x)) = √x + (x + 3)/(2√x)

d/dx[e²ˣ(x + 3)] = e²ˣ(x + 3) * d/dx[(x + 3)] = e²ˣ(x + 3)

Now we can substitute the derivatives back into the expression:

f'(x) = [(x + 1)(4(x - 1)³) + (x - 1)⁴(1)] / (e²ˣ(x + 3)√x) + (x - 1)⁴(x + 1) / (e²ˣ(x + 3)√x) * (e²ˣ(x + 3) * (√x + (x + 3)/(2√x)) + √x * e²ˣ(x + 3))

This is the derivative of the function f(x) with respect to x.

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Complete question is below

Compute f'(x) for the following function. You do not need to simplify your final answer. f(x) = (x - 1)⁴(x + 1)/e²ˣ(x+3)√x

Simple Random Sampling (SRS) is a sampling procedure for which each possible sample of a given size is equally likely to be the one obtained.Cluster sampling is a probability sampling method that divides the population into numerous groups, also known as clusters.Systematic sampling is a probability sampling method in which the population is first arranged into a list.

Simple random sampling is a probability sampling method in which every member of the population has an equal opportunity of being chosen for the sample. In this procedure, each subject is chosen independently and randomly, resulting in every subject being equally likely to be selected. Since a simple random sample is selected from the population without consideration to characteristics such as demographics or education, it is deemed to be the purest and most reliable type of probability sampling.

Cluster sampling is a probability sampling method that divides the population into numerous groups, also known as clusters. Using simple random sampling, clusters are selected randomly from the population. Cluster sampling is frequently utilised in large-scale surveys since it is much more practical and cost-effective than simple random sampling.

Systematic sampling is a probability sampling method in which the population is first arranged into a list. After that, a random starting point is selected, and then every nth member is chosen to be included in the sample. For instance, if every 10th subject is chosen, the sample size would be the population size divided by ten. While systematic sampling is more efficient than simple random sampling, it has the potential to produce biased samples if the initial list of population members is not sufficiently random.

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To determine the optimal order quantity for Rocky Mountain Tire Center, you must consider ordering costs, storage costs, and the purchase price of the tires. The order quantity should minimize the total cost including both ordering cost and storage cost.

The EOQ formula is given by: EOQ = √((2DS) / H)

Where: D = Annual demand (7,000 go-cart tires)

S = Ordering cost per order ($40) H = Holding cost - percentage of the purchase price (40% of the purchase price)

we need to determine the purchase price per tire based on the quantity ordered.

EOQ = √((2 * 7,000 * 40) / (0.4 * 15))

=118 tires

they should order approximately 118 tires.

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The value of h'(1) is 22, if the given function values are f(1) = 3,

g(1)=2, f'(1)=4, g'(1) = 1. So, option A is correct.

An exact one of each element of Y is assigned to each element of X via a mathematical function from a set X to a set Y. The sets X and Y are denoted by the terms "domain" and "codomain," respectively.

The fundamental concept of functions was the connection between fluctuating quantities and other variables. One illustration of this is the impact of time on a planet's position. Beginning at the end of the 17th century and continuing until the 19th century, the concept was developed using the infinitesimal calculus.

Given,

h(x)=2f(x).g(x)

And f(1)=3, g(1)=2, f'(1)=4, g'(1)=1

h'(1)=?

h(x)=2f(x).g(x)

h'(x)=2(f'(x).g(x)+f(x).g'(x))

h'(1)=2(f'(1).g(1)+f(1).g'(1))

h'(1)=2(4(2)+3(1))

h'(1)=2(8+3)

h'(1)=2(11)

h'(1)=22

Therefore, the value of h'(1) is 22, if the given function values are f(1) = 3,

g(1) = 2, f’(1) = 4, g’(1) = 1.

Hence, option A is correct.

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Managers, goods, services, and technology are all needed in developing countries, and therefore, they provide new markets for companies that can supply these essentials.

Developing countries often have growing economies and increasing consumer demands. As these countries strive for development and improvement, they require effective management to drive their businesses and organizations. Managers play a crucial role in overseeing operations, implementing strategies, and maximizing efficiency.

Additionally, developing countries require goods and services to meet the needs of their populations. This includes basic necessities such as food, clothing, and shelter, as well as other essential products and services like healthcare, education, infrastructure development, and transportation. Companies that can provide these goods and services have an opportunity to enter new markets and cater to the demands of the growing population.

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Answer:

I believe thats in function notation but please respond with the actual equation/function which you have not provided

Step-by-step explanation:

Domain is the x values.

The x values in the given function are: 0,3,5,8

The answer would be B. {0,3,5,8}

An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2

Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.

These expressions are also known to consist of arithmetic operators, which includes;

From the information given, we have to subtract five from an expression to isolate the variable

Now, let's us the algebraic expression;

-9x + 5 = x + 2

Let's subtract 5 from both sides of the equation, we get;

-9x + 5 - 5 = x + 2 - 5

add and subtract the like terms

-9x + x = -3

-8x = -3

x = 3/8

Hence, the expression is -9x + 5 = x + 2

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Answer:

Slope-intercept: y=3/4x+1

Sorry idk how to do general form

Step-by-step explanation:

Slope-intercept form is y=mx+b, m being the slope, b being the y-intercept.

The slope of this graph is 3/4, and the y-intercept is 1.

Answer:

Slope-intercept form: \(y=\frac{3}{4}x+1\)

General form: \(-3/4x+y-1\)

Step-by-step explanation:

Firstly, to get the slope intercept form, we need to find the slope and the y-intercept.  To find the slope, we can use the slope formula and calculate the "rise over run" for these two points. The coordinate of the first point is (0, 1) , and the coordinate of the second point is (4, 4). If x1 = 0, x2 = 4, y1 = 1, and y2 = 4, we can plug those values into the slope formula that I mentioned earlier, which is \(\frac{y_{2}-y_{1}}{x_{2}-{x_{1}}}\). So, after we plug in those values we get in the two points, we can see that \(\frac{4-1}{4-0}\), so the slope is \(\frac{3}{4}\). The x moves right 4 times and the y goes up 3 times. Finally, the y-intercept value is 1 because when x = 0, y is 1, and the point we used for the slope formula (0, 1) proves that. For the slope-intercept form, \(mx+b\), where m is the slope and b is the y-intercept, m is \(\frac{3}{4}\) and b is 1. So, our final answer for the slope-intercept form is \(y=\frac{3}{4}x+1\). Now we can find the general form. To do this, we must get one side of the equation to equal 0. Using our slope-intercept equation, \(y=\frac{3}{4}x+1\), we can subtract y from both sides to get 0 on the left, like this: \(0=\frac{3}{4}x+1-y\). Then, we can rearrange the variables to general form: \(0=\frac{3}{4}x-y+1\\\). That is our general form answer. To recap, to find the slope, find the coordinates of the two points, and then plug in those points into the slope formula to find the steepness of the line. Then, add the y intercept that we can see on the graph. For general form, subtract y from both sides and rearrange the equation. Hope this helps!

Answer:

1) The rate of change is constant ($$ 2) The line passes through the origin (0, 0). 3) The equation of the direct variation is $$ y =1 x or simply $$

Answer:

1) The rate of change is constant ($$ 2) The line passes through the origin (0, 0). 3) The equation of the direct variation is $$ y =1 x or simply $$

Step-by-step explanation:

I know this because I done this last week

Two corresponding sides of the triangles are congruent by congruence postulate, meaning DE ≅ AB and EF ≅ BC. The included angle between the congruent sides is also congruent, meaning ∠DEF ≅ ∠ABC.

To prove that ΔDEF and ΔABC are congruent by SAS (Side-Angle-Side), we need to have the following additional information:
1. The length of two sides of each triangle must be equal.
2. The included angle between these two sides must be equal.
3. The length of the third side of each triangle must be equal.
If we have this information, we can use the SAS congruence postulate to prove that ΔDEF and ΔABC are congruent.

To prove that ΔDEF and ΔABC are congruent by the Side-Angle-Side (SAS) Congruence Postulate, you'll need the following additional information:
Once you have this information, you can apply the SAS Congruence Postulate to conclude that ΔDEF and ΔABC are congruent.

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Answer:

31764 is the answer ....

Hope it helps!!!

Answer: 12,600 + 31,764

Step-by-step explanation: