Stephanie is cutting a pie. Stephanie's mother wants one fourth of the pie. The diameter is 20 cm.
What is the sector area of the pie her mother does not want?

The correct statement is c. When marginal utility is positive, an increase in the quantity consumed will increase total utility.

This is because as long as the marginal utility of each additional unit consumed is positive, the total utility will continue to increase with each additional unit consumed. However, when marginal utility starts to decrease, consuming additional units will result in diminishing returns and eventually lead to a decrease in total utility. The statement in option a is incorrect because an increase in the quantity consumed can still increase total utility if the marginal utility is positive. The statement in option b is also incorrect because if the marginal utility is positive, consuming more will increase total utility, not decrease it. Option d is also incorrect because when marginal utility is increasing, it means that the additional units consumed are providing more utility than the previous ones, so decreasing the quantity consumed will result in a decrease in total utility.

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Ronald Reagan's policies as President of the United States had a significant impact on the country, and opinions about the nature of this impact are often divided.

Some people argue that Reagan's policies had a positive effect on the country, pointing to his efforts to reduce government regulation, lower taxes, and increase defense spending as key factors in driving economic growth. Others, however, see Reagan's policies as having a negative impact on the country, particularly in terms of their impact on social programs, environmental protections, and inequality.
One of Reagan's most notable policy initiatives was his effort to reduce government regulation of the economy. Proponents of this approach argue that reducing government regulation helped to spur innovation and entrepreneurship, driving economic growth and creating jobs. However, critics argue that this approach led to increased pollution, reduced consumer protections, and the prioritization of corporate interests over public well-being.
Another key aspect of Reagan's policies was his focus on lowering taxes. Supporters of this approach argue that lower taxes help to stimulate economic growth and job creation, while opponents argue that they primarily benefit the wealthy and contribute to growing inequality.
Reagan's policies also had a significant impact on social programs, including efforts to cut funding for public education, healthcare, and social services. While some argue that these cuts were necessary to rein in government spending, critics argue that they had a devastating impact on vulnerable populations, exacerbating poverty and inequality.
Overall, opinions about the impact of Reagan's policies on the country are deeply divided, with proponents arguing that his focus on deregulation and lower taxes drove economic growth, while critics argue that his policies contributed to growing inequality and environmental degradation. Ultimately, the long-term impact of Reagan's policies will continue to be debated and studied by economists, historians, and policymakers for years to come.

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The probability that a continuous random variable equals any of its values is zero.

A continuous random variable has a zero chance of having any given value. This is because a continuous variable can take on any value within a range, and the probability of any single value is meaningless since the probability of any two values that are infinitely close together is also zero.

The only exception is when the variable is a constant, in which case the probability that it equals its own value is one. For example, if a variable is a constant with the value 5, then the probability that it equals 5 is 1 (or 100%).

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Answer:

yes it is I but smaller in size

Answer:

the answer is simple you just p times a

and d

Step-by-step explanation:

:]

Answer:

hope this help you

Step-by-step explanation:

p times x and d

Answer:

14%

Step-by-step explanation: Just count the boxes they show you what percent it is

Answer:

-15 degrees Celsius

Step-by-step explanation:

(5 - 32)*(5/9)= -15 Farenheit

Answer:

It would take the person 10 weeks to pay the friend back

Step-by-step explanation:

Don't know is this was the question :l

Answer:

y=-10x+100

Step-by-step explanation:

The covariance of S(1) and S(2) is 0.

To determine the covariance of S(1) and S(2), we need to calculate the covariance between S(1) and S(2) using the given geometric Brownian motion model.

The covariance between two random variables X and Y is defined as Cov(X, Y) = E[(X - E[X])(Y - E[Y])], where E denotes the expectation.

In this case, we have S(t) = S(0) * (0.035 + 0.3W(t)), where W(t) is a standard Brownian motion and S(0) = 17.

First, we need to calculate the expected values of S(1) and S(2):

E[S(1)] = E[S(0) * (0.035 + 0.3W(1))]

       = S(0) * E[0.035 + 0.3W(1)]

       = S(0) * (0.035 + 0)

       = S(0) * 0.035

       = 17 * 0.035

       = 0.595

E[S(2)] = E[S(0) * (0.035 + 0.3W(2))]

       = S(0) * E[0.035 + 0.3W(2)]

       = S(0) * (0.035 + 0)

       = S(0) * 0.035

       = 17 * 0.035

       = 0.595

Now, we can calculate the covariance:

Cov(S(1), S(2)) = E[(S(1) - E[S(1)])(S(2) - E[S(2)])]

               = E[(S(0) * (0.035 + 0.3W(1)) - 0.595)(S(0) * (0.035 + 0.3W(2)) - 0.595)]

Since W(1) and W(2) are independent standard Brownian motions, their covariance is zero.

Cov(S(1), S(2)) = E[(S(0) * (0.035 + 0) - 0.595)(S(0) * (0.035 + 0) - 0.595)]

               = E[(17 * 0.035 - 0.595)(17 * 0.035 - 0.595)]

               = E[(0.595 - 0.595)(0.595 - 0.595)]

               = E[0]

               = 0

Therefore, the covariance of S(1) and S(2) is 0.

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91 cm/ 2.54 = 35.83 inches

35.83 inches / 24 hours per day = = 1.49 inches per hour

Answer: 1.5 inches per hour

Answer:

1.4928 inches per hour

Step-by-step explanation:

91 cm = 35.827 inches

35.827 inches per day

1 day = 24 hours

25.827/ 24

= 1.4928 inches per hour

The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.

To solve for the predicted number of runs, we can use the following steps:

Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

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Answer:

On the y- axis everything is postive so it would be (11,27)

Answer:

10/6 = 10/6

 ↓

1 4/6 = 10/6

Step-by-step explanation:

5/6 + 5/6 = 10/6

                    ↓

                  1 4/6

10/6 ÷ 2 = 5/3

10/6 = 10/6

1 4/6 = 10/6

The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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Modifying Above p with caret minus Upper E less than p less than ModifyingAbove p with caret plus Upper E

where p is the point estimate, and Upper E is the margin of error.


To express the confidence interval (0.008, 0.096) in the form of ModifyingAbove p with caret minus Upper E less than p less than ModifyingAbove p with caret plus Upper E, we first need to find the point estimate (p) and the margin of error (Upper E).

The point estimate is the midpoint of the interval, which is:

p = (0.008 + 0.096) / 2 = 0.052

The margin of error is half the width of the interval, which is:

Upper E = (0.096 - 0.008) / 2 = 0.044

Therefore, the confidence interval can be expressed as:

ModifyingAbove 0.052 with caret minus 0.044 less than p less than ModifyingAbove 0.052 with caret plus 0.044

This means that we are 95% confident that the true population proportion (p) falls within the range of 0.008 to 0.096.

the confidence interval (0.008, 0.096) can be expressed in the form of Modifying Above p with caret minus Upper E less than p less than Modifying Above p with caret plus Upper E as Modifying Above 0.052 with caret minus 0.044 less than p less than Modifying Above 0.052 with caret plus 0.044. This means that we are 95% confident that the true population proportion falls within this range.

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Answer:

1. D

2. C

3. C, A F

Step-by-step explanation:

Answer:

8, 3, -2, -7

Step-by-step explanation:

To solve you have to multiply -5 by whatever number is in the x column of the table then add 3. For example, -5*0 = 0, then 0+3 = 3 and that's your answer(s).

Answer:  In order from top to bottom:

9

3

-2

-7

Step-by-step explanation:

To find the y u would replace 'x' in the equation with one of the x's in the colom.

For example:

     y = -5 (-1) + 3

         = 6 + 3

           = 9

REMEBER = A negative times a negative is a positve.

Becky would need to invest approximately $11,621.14 in a sinking fund paying a 7% interest rate compounded over 45 years to accumulate $100,000.

To calculate the amount Becky needs to invest in the sinking fund, we can use the future value formula for compound interest. The formula is:

FV = PV *\((1 + r)^n\)

Where:

FV is the future value (desired amount),

PV is the present value (amount to be invested),

r is the interest rate per period (7% in this case), and

n is the number of compounding periods (45 years).

Rearranging the formula to solve for PV:

PV = FV /\((1 + r)^n\)

Plugging in the given values:

PV = 100,000 / \((1 + 0.07)^45\)

PV ≈ 100,000 /\((1.07)^45\)

PV ≈ 100,000 / 13.237797

Therefore, Becky would need to invest approximately $11,621.14 in the sinking fund to accumulate $100,000 in 45 years. This assumes that the interest rate remains constant, and the interest is compounded annually.

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The coterminal angle with 415° between 0° and 360° is -305°.

To find the coterminal angle with 415° between 0° and 360°, we can subtract or add multiples of 360° until we get an angle within that range.

To find the coterminal angle greater than 415°, we can subtract multiples of 360°. Let's start by subtracting 360°:
415° - 360° = 55°

Since 55° is still greater than 360°, we can subtract another 360°:
55° - 360° = -305°

Now we have a negative angle, -305°, which is within the range of 0° and 360°. Therefore, the coterminal angle with 415° between 0° and 360° is -305°.

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Answer:

A. Jake made a mistake in step 2

Step-by-step explanation:

If you subtract a number from one side, you should do the same for the other. In step 2 Jake subtracted 7 from one side but not from another.

Answer:

( x + 4 )^2 + ( y - 15 )^2 = 1; Option A

Step-by-step explanation:

~ Let us apply the standard circle equation ( x - a )^2 + ( y - b )^2 = r^2, provided r ⇒ radius when centered at point ( a, b ) ~

1. If the center is provided to be ( -4, 15 ) we could substitute this value into the circle equation with variables x and y remaining such:

( x - ( - 4 ) )^2 + ( y - 15)^2 = r^2

2. Simplifying this equation, we have: ( x + 4)^2 + ( y - 15 )^2 = r^2

3. Now by point on the circle, it would be a point on the circumference, to be clear in more mathematical terms. So far we have eliminated two options, with two remain - and each of them has either a radius of 1 or 2. If the point on the circle is ( -4, 16 ) that would mean 1 more than 15, which means that with a radius of 1 ⇒ this point will be on the circle.

Answer: ( x + 4 )^2 + ( y - 15 )^2 = 1

The function that describes the fund that was raised is 0.05³ - 30x - 12425

The revenue is  R (z) = 0.05x³ + 75

the cost = C(z) = 30x + 12,500.

Please note that the equation for revenue missed a sign in the question so I made use of the plus sign

We would have revenue - cost

Hence ( 0.05x³ + 75) - (30x + 12,500)

We would open the bracket

0.05x³ + 75 -30x -12500

We would take the like term to

0.05³ - 30x -12500 + 75

0.05³ - 30x - 12425

The function that describes the fund that was raised is 0.05³ - 30x - 12425

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Answer: F(x)=0.05x^3-30x-12,575

Step-by-step explanation:

Correct on test.

\((y + 1)(y + 12)\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( {y}^{2} + 13y + 12 \\ = {y}^{2} + 12y + 1y + 12 \\ taking \: common \: factor \: from \: the \: two \: pairs \\ = y(y + 12) + 1(y + 12) \\ = (y + 1)(y + 12)\)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

Answer:

nice TV

Step-by-step explanation:

Answer: 48.75

Step-by-step explanation:

I know that the answer to this equation is 48.75 because 25% of 39 is 9.75.

9.75 + 39 =48.75

so the original price of the chandelier was 48.75

Answer:

See below

Step-by-step explanation:

A) If \(DF\cong GH\), then both triangles will be congruent by the ASA postulate

B) If \(DE\cong GI\), in addition to one of the corresponding leg pairs being congruent to each other (so EF+IH or DF+GH), then the triangles will be congruent by the HL theorem

The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

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In order for the expected value and standard deviation to be well-defined, we must have p > 0. If p = 0, then the geometric distribution is degenerate and always takes the value 0. If p = 1, then the geometric distribution is also degenerate and always takes the value 1.

To find the expected value and standard deviation of a geometric random variable, we first need to understand what a geometric random variable is.

A geometric random variable is a discrete random variable that represents the number of independent Bernoulli trials (i.e., trials that have only two possible outcomes) needed to obtain the first success. The probability of success on each trial is denoted by p, and the probability of failure (i.e., not obtaining a success) is denoted by q = 1 - p.

The expected value (also known as the mean) of a geometric random variable is given by E(X) = 1/p. This means that on average, we expect to perform 1/p independent Bernoulli trials before we obtain the first success.

To find the standard deviation of a geometric random variable, we use the formula:

SD(X) = \(\sqrt {[ (1 - p) / p^2 ]\)

This formula is derived using the variance formula, which is

Var(X) = \((1 - p) / p^2\). The standard deviation is then the square root of the variance.

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