Marginal Propensity to Save Suppose C(x) measures an economy's personal consumption expenditure personal income, both in billions of dollars. Then the following function measures the economy's savings corre an income of x billion dollars. S(X) = x - C(x) (income minus consumption) ds The quantity dx below is called the marginal propensity to save. dc ds dx dx For the following consumption function, find the marginal propensity to save when x = 3. (Round your answer decimal places.) C(X) - 0.774x1.1 + 26.9 billion per billion dollars Need Help? Read it Watch It

Answer:

Options C and D

Step-by-step explanation:

From the graph attached,

Coordinates of the vertices,

X → (0, 0)

Y → (-1, -2)

Z → (0, -2)

Rule for the rotation of a  point (h, k) by 180° about the origin is given by,

(h, k) → (-h, -k)

By this rule,

Coordinates of the image points will be,

X(0, 0) → X'(0, 0)

Y(-1, -2) → Y'(1, 2)

Z(0, -2) → Z'(0, 2)

Therefore, Option (C) and Option (D) are the correct options.

Answer

C/D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given x and y are supplementary angles and the size of angle y is three times the size of angle x, you want the values of x and y.​

The given relations can be written as the equations ...

  x + y = 180°

  y = 3x

Substituting for y gives ...

  x + 3x = 180°

  x = 180°/4 = 45°

  y = 3x = 135°

The values of x and y are 45° and 135°, respectively.

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Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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Answer:

Janelle rides her bike at a rate of 0.25 km per minute.

Step-by-step explanation:

15 divided by 60 = 0.25

(I'm assuming this is an open question, if there are choices then put them in the comments and I'll edit the answer)

Answer:

he value of the integral ∫ y tan(x) dx is y sin(x) + C.

Step-by-step explanation:

Property 8 of integrals states that if we have an integral of the form ∫ f(x) g'(x) dx, it can be rewritten as ∫ f(x) dg(x), where g(x) is an antiderivative of g'(x).

In this case, we have the integral ∫ y tan(x) dx. By applying Property 8, we can rewrite it as ∫ y d(sin(x)).

Now, integrating with respect to y while treating sin(x) as a constant, we get:

∫ y d(sin(x)) = y sin(x) + C,

where C is the constant of integration.

So, using Property 8, the value of the integral ∫ y tan(x) dx is y sin(x) + C.

Answer:

Answer A

Step-by-step explanation:

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Answer:

Therefore, there are approximately 102 kilocalories in the snack bar.

Step-by-step explanation:

One gram of fat provides 9 kilocalories (kcal), while one gram of carbohydrate and protein provide 4 kcal each. So, to find the total number of kilocalories in the snack bar, we can use the following formula:

Total kcal = (grams of fat * 9) + (grams of carbohydrate * 4) + (grams of protein * 4)

Plugging in the values, we get:

Total kcal = (6 * 9) + (10 * 4) + (2 * 4)

Total kcal = 54 + 40 + 8

Total kcal = 102

Therefore, there are approximately 102 kilocalories in the snack bar.

The answer is  approximately 120 kilocalories in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein.

What are kilocalories? Kilocalories, also known as calories, are a unit of energy used to calculate the amount of energy in food. The number of kilocalories in food is calculated based on the number of grams of protein, carbohydrate, and fat it contains. Kilocalories are used by the body to fuel its processes and maintain its vital functions. The energy in food is released when it is digested, absorbed, and transported to the cells where it is used to produce ATP, the body's primary source of energy. ATP is used to power cellular processes such as metabolism, respiration, and movement. How many kilocalories are in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein? To calculate the number of kilocalories in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein, we need to know the number of kilocalories per gram of each macronutrient. Protein and carbohydrates each contain 4 kilocalories per gram, while fat contains 9 kilocalories per gram. To calculate the number of kilocalories in the snack bar, we multiply the number of grams of each macronutrient by the number of kilocalories per gram and then add them together. Here is the calculation:6 grams of fat x 9 kilocalories per gram of fat = 54 kilocalories10 grams of carbohydrate x 4 kilocalories per gram of carbohydrate = 40 kilocalories2 grams of protein x 4 kilocalories per gram of protein = 8 kilocalories. Total kilocalories = 54 + 40 + 8 = 102Therefore, a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein has approximately 102 kilocalories.
A snack bar with 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein has approximately 102 kilocalories. This is calculated as follows: (6 grams fat x 9 kcal/g) + (10 grams carbohydrate x 4 kcal/g) + (2 grams protein x 4 kcal/g).

Therefore, answer is 120 kilocalories.

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Approximately 99.7% of the data falls within three standard deviations, we can conclude that approximately 99.7% of IQ scores are between 64 and 142.

According to the empirical rule, for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations. In this case, the mean IQ score is 103 and the standard deviation is 13. To find the percentage of IQ scores between 64 and 142, we need to determine how many standard deviations each value is from the mean. The difference between 64 and 103 is 39, which is 3 standard deviations below the mean (since 3 * 13 = 39).

The difference between 142 and 103 is 39, which is 3 standard deviations above the mean. Since the empirical rule states that approximately 99.7% of the data falls within three standard deviations, we can conclude that approximately 99.7% of IQ scores are between 64 and 142.

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can't be solve sa foil method Yung ganyan equation

We can conclude that \( (\mathbb{D}, \mathcal{H}) \) is homogeneous.

To prove that \( (\mathbb{D}, \mathcal{H}) \) is homogeneous, we need to show that for any \( h \in \mathcal{H} \) and \( \lambda \in \mathbb{D} \), the scaled function \( \lambda h \) is also in \( \mathcal{H} \).

Let \( h \in \mathcal{H} \) and \( \lambda \in \mathbb{D} \). By definition, \( \mathcal{H} \) is a vector space of functions, and it is closed under scalar multiplication.

Therefore, we can write \( \lambda h \) as a linear combination of functions in \( \mathcal{H} \). Since \( \mathcal{H} \) is closed under linear combinations, \( \lambda h \) is also in \( \mathcal{H} \).

This means that for any function \( h \) in \( \mathcal{H} \) and any scalar \( \lambda \) in \( \mathbb{D} \), the scaled function \( \lambda h \) is still a member of \( \mathcal{H} \).

Hence, we can conclude that \( (\mathbb{D}, \mathcal{H}) \) is homogeneous.

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Answer:

17,453.30 feet

Step-by-step explanation:

(a) The sampling distribution of p-hat1 - p-hat2 can be approximated by a normal distribution. According to the Central Limit Theorem, when the sample sizes are large enough , the sampling distribution of the difference in sample proportions will be approximately normal, regardless of the shape of the population distributions. Therefore, the shape of the sampling distribution of p-hat1 - p-hat2 is approximately normal.

(b) The mean of the sampling distribution of p-hat1 - p-hat2 can be calculated as:

mean = p1 - p2

where p1 is the population proportion of orange M&M's milk chocolate candies and p2 is the population proportion of orange peanut M&M's.

mean = 0.20 - 0.23 = -0.03

The standard deviation of the sampling distribution of p-hat1 - p-hat2 can be calculated using the formula:

standard deviation = sqrt((p1(1 - p1) / n1) + (p2(1 - p2) / n2))

For M&M's milk chocolate candies:

p1 = 0.20 (proportion of orange M&M's milk chocolate candies)

n1 = 240 (sample size of M&M's milk chocolate candies)

For peanut M&M's:

p2 = 0.23 (proportion of orange peanut M&M's)

n2 = 240 (sample size of peanut M&M's)

standard deviation = sqrt((0.20(1 - 0.20) / 240) + (0.23(1 - 0.23) / 240))

(c) To find P(p-hat1 - p-hat2 > 0), we need to calculate the probability that the difference in sample proportions is greater than zero. This can be interpreted as the probability of observing a greater proportion of orange M&M's milk chocolate candies than orange peanut M&M's.

To calculate this probability, we need to standardize the sampling distribution using the mean and standard deviation calculated in part (b) and then find the area under the normal curve to the right of zero.

Let Z be the standard normal variable.

Z = (p-hat1 - p-hat2 - mean) / standard deviation

Z = (0 - (-0.03)) / standard deviation

Using the calculated mean and standard deviation, we can find the corresponding Z-score and then find the area to the right of zero using a standard normal table or calculator. This area represents P(p-hat1 - p-hat2 > 0), the probability of observing a greater proportion of orange M&M's milk chocolate candies than orange peanut M&M's.

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Outliers have a significant impact on a sample's parameters, errors, variance, and standard deviation. Instead of being regarded as outliers, Z-scores between -1.96 and +1.96 represent values that fall within the expected range.

Outliers can have a significant impact on the parameters, errors, variance, and standard deviation of a sample. Parameters, such as the mean and standard deviation, are influenced by outliers because they are sensitive to extreme values. Outliers can pull the mean towards their value, resulting in a biased estimate.

Similarly, outliers can inflate the variance and standard deviation, making them less representative of the majority of the data. Z-scores are a measure of how many standard deviations a data point is away from the mean. Z-scores falling between -1.96 and +1.96 (corresponding to approximately the 95% confidence interval) are not considered outliers.

These z-scores represent data points within a range that is expected and common for normally distributed data. Outliers are typically defined as data points that fall beyond a certain threshold, often defined as three standard deviations from the mean. When calculating z-scores for skewness and kurtosis, we use standard error instead of standard deviation.

This is because standard error takes into account the sample size and provides an estimate of the variability of the statistic being calculated. Since skewness and kurtosis are sample statistics, the standard error is used to assess the precision of these statistics in representing the corresponding population parameters.

In conclusion, outliers can greatly affect the parameters, errors, variance, and standard deviation of a sample. Z-scores falling between -1.96 and +1.96 are not considered outliers but rather represent values within the expected range.

Standard error is used when calculating z-scores for skewness and kurtosis to account for the sample size and provide a measure of precision for these statistics.

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Answer:

The answer is No

Step-by-step explanation:

Pls Mark me as brainlist

Answer:

Yes, you can add them together.

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, they do not have the same variables or powers. The order of the variables does not matter unless there is a power.

Answer:

The answer is B. 50

Step-by-step explanation:

180-105=75

75+55=130

180-130=50

w=7.5

Step-by-step explanation:

area of triangle is 6x5=30/2= 15 and then you divide 15 which 7.5

Answer:

VM = 15

Step-by-step explanation:

Given that line segment VM = 4x - 1

line segment MW = 3x + 3,

since M is the midpoint of VW, therefore:

VM = MW

Thus,

\( 4x - 1 = 3x + 3 \)

Find the value of x

\( 4x - 3x = 1 + 3 \)

\( x = 4 \)

VM = 4x - 1

Plug in the value of x

\( VM = 4(4) - 1 = 16 - 1 = 15 \)

VM = 15

Answer:

equation :y = 5x + 25

Step-by-step explanation:

Initial money in Math team account = $25

money added to the team account for 1 bag of fruit sold = $5

given that

x represents the number of bags of fruit they sell

money added to the team account for  x bag of fruit sold = x *money added to the team account for 1 bag of fruit sold

money added to the team account for  x bag of fruit sold = x *$5 = $5x

Total money in Math team account = money added to the team account for  x bag of fruit sold + Initial money in Math team account  

Total money in Math team account = 5x + 25

Given that

y represents the dollar amount in their account

using y in place of Total money in Math team account

we have equation

y = 5x + 25

now we know that slope intercept form of equation is given by

y = mx + c

which is the same form as of our equation

thus , answer is

equation y = 5x + 25

Answer:

5

Step-by-step explanation:

x^2-7x=30

x^2-7x-30=0

a = 1, b = -7, c = -30

sqrt(b^2-4ac)

sqrt(49+120)

sqrt(169)

13

-b +/- 13

7 + 13 = 20

7 - 13 = -6

2a = 2

20/2 = 10

-6/2 = -3

we know x>0, so it cant be -3. so now its just 10 - 5

The required value of the given function is (f ⋅ g)(4) = 130.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question, as follows:

f(x)=3x+1 and g(x)=x²-6

(f ⋅g)(x) is the composition of the functions f and g, which means f(x) × g(x).

(f ⋅ g)(x) = f(x) × g(x)

So, substituting x = 4:

(f ⋅ g)(4) = f(4) × g(4)

= (3 × 4 + 1)×(4² - 6)

= 13 × 10

= 130

So, (f ⋅ g)(4) = 130.

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If the length of of a square increases from 3 inches to 7inches,the perimeter will increase from 12 inches to 28 inches. The perimeter will increase by 16inches

Square is a regular quadrilateral, which has all the four sides of equal length and all four angles are also equal. The angles of the square are at right-angle or equal to 90-degrees. Also, the diagonals of the square are equal and bisect each other at 90 degrees.

The perimeter of a square is determined by adding all the sides together.

Therefore the perimeter of square = 4l

when the length is 3 inches, the perimeter = 4×3 = 12inches

when the length is 7inches , the = 4× 7 = 28inches

Therefore the perimeter increased from 12inches to 28inches. It increases by 16 inches

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When the side length of a square increased from 3 inches to 7 inches, the perimeter increased from 12 inches to 28 inches

The perimeter of a square can be represented as follows:

The perimeter of a square is the sum of the whole sides of the square.

perimeter of a square  = 4l

where

l  = side length

Recall the whole sides of a square is equal.

Therefore,

The side of the square is formally 3 inches.

Hence,

perimeter of a square = 4 × 3

perimeter of a square = 12 inches.

When the side length is increased to 7 inches.

Hence,

perimeter of a square = 4 × 7

perimeter of a square = 28 inches

Therefore, when the side length of a square increased from 3 inches to 7 inches, the perimeter increased from 12 inches to 28 inches

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The required  numbers is x=12 and y=24−x=24−12=12 i.e.(12,12).

What is differentiation ?

In math, isolation is one of the two important generalities piecemeal from integration. Isolation is a system of chancing the outgrowth of a function. Isolation is a process, in Maths, where we find the immediate rate of change in function grounded on one of its variables. The most common illustration is the rate change of relegation with respect to time, called haste. The contrary of chancing a outgrowth isanti-differentiation.

still, also the rate of change of x with respect to y is given by dy/ dx, If x is a variable and y is another variable. This is the general expression of outgrowth of a function and is represented as f'( x) = dy/ dx, where y = f( x) is any function.

Let the two number is x and y

According to given question.

Sum of two number =24

x+y=24

Then, y=24−x.......(1)

Again, product

 P=maximum=x × y

P=x(24−x 2)

P=24x−24x^2  .......(2)

We know that,

For maximum value

dP/dx =0

Now differentiating equation (2) with respect to x and we get,

dP/dx  =24−2x

⇒ 24−2x=0

⇒ 2x=24

⇒x=12

Again, differentiating equation (2) with respect to x and we get,

\(\frac{d^2p}{dx^2} = -2 < 0\)

Then,P is minimum at point x=12

Hence, the required  numbers is x=12 and y=24−x=24−12=12 i.e.(12,12)

This is the solution.

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Answer:

A) gemma puts 7 rocks into each of her 8 gardens

Step-by-step explanation:

Answer:

1) 800 (read the both) 2) 2200 (read exactly one)

Step-by-step explanation:

Find the people (families) who read neither of them

4000/100*25= 1000

It means that the rest 4000-1000= 3000 families read the newspapers at least  in one language  from the pointed languages. 4000/1oo*50= 2000 - readers in Nepali

4000/100*45= 40*45=1800 - readers in English.

2000+1800= 3800- the special amount, that consists of 1) only Nepali readers

2) only English readers 3) the readers in two languages (but the were counted twice, because we considered them in the group of Nepali readers and group of English readers)

The real quantity of only Nepali readers, only English readers and both language readers is 3000.

S0 3800-3000= 800 people - read in two languages

3000-800=2200 families read exactly one kind of these papers

Answer:

p and m or A. and D.

Step-by-step explanation:

Answer:

Dimensions are 3cm and 10cm.

Step-by-step explanation:

We can make two equations for this problem.

ab = 30

2a + 2b = 26

Isolate a in the first equation.

a = 30/b

Plug that into the second equation.

2(30/b) + 2b = 26

2b^2 + 60 = 26b

2b^2 - 26b + 60 = 0

2(b - 3)(b - 10) = 0

b - 3 = 0 and b - 10 = 0

b = 3, 10

Plug these values into the first equation.

a3 = 30

a = 10

a10 = 30

a = 3

Best of Luck!

Answer:

2 x or 3x

Step-by-step explanation:

because is have x

Answer:

x = 30

Step-by-step explanation:

The sum of the exterior angle and interior angle of a polygon = 180°

Then the 2 unknown interior angles are

180 - 2x and 180 - (3x - 20) = 180 - 3x + 20 = 200 - 3x

The sum of the 4 interior angles of a quadrilateral = 360°

sum the 4 interior angles and equate to 360

2x + 2x + 10 + 180 - 2x + 200 - 3x = 360 , that is

- x + 390 = 360 ( subtract 390 from both sides )

- x = - 30 ( multiply both sides by - 1 )

x = 30

The utilization of the teller is approximately 53.33%.

To calculate the utilization of the teller, we need to compare the arrival rate and the service rate. The utilization represents the fraction of time the server (teller) is busy serving customers.

The arrival rate is given as 8 customers per hour, which means that, on average, 8 customers arrive at the teller's window in one hour. This follows a Poisson distribution.

The service rate is given as 15 customers per hour, indicating that, on average, the teller is able to serve 15 customers in one hour. The service times follow an exponential distribution.

Utilization is calculated as the ratio of the arrival rate to the service rate. In other words:

Utilization = Arrival rate / Service rate

Substituting the given values:

Utilization = 8 / 15 ≈ 0.5333

To express this as a percentage, we multiply the result by 100:

Utilization = 0.5333 * 100 ≈ 53.33%

Therefore, the utilization of the teller in this scenario is approximately 53.33%. This means that, on average, the teller is occupied serving customers about 53.33% of the time, and the remaining time is idle or available for serving new customers.

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Answer:  resultant

Step-by-step explanation: