Martin ordered a pizza with a 12-inch diameter. Ricky ordered a pizza with a 16-inch diameter. What is the approximate difference in area of the two pizzas in

square inches?

OA. 4

OB. 16

O C. 112

O D. 352

Answer:

y=4-3x

Step-by-step explanation:

Hope this helps!!!

Answer:

148 hamburgers sold

296 cheeseburgers sold

Step-by-step explanation:

x  = number of hamburgers sold

2x = number of cheeseburgers sold

444 = total burgers sold

hamburgers + cheeseburgers = total burgers sold

x + 2x = 444

3x = 444

3x/3 = 444/3

x = 148

Check:

148 + 2(148) = 444

148 + 296 = 444

444 = 444

(i) The Cartesian equation for r sin = ln r + ln cos 0 is y = ln(sqrt(x^2 + y^2)) + ln(sqrt(1 - x^2)). The graph represents a curve that spirals towards the origin, with the vertical asymptote at x = -1 and x = 1.

(ii) The Cartesian equation for r = 2cos 0 + 2sin 0 is x^2 + y^2 - 2x - 2y = 0. The graph represents a circle with center (1, 1) and radius √2.

(iii) The Cartesian equation for r = cot csc 0 is x^2 + y^2 - x = 0. The graph represents a circle with center (1/2, 0) and radius 1/2.

(i) To convert the polar equation r sin = ln r + ln cos 0 into a Cartesian equation, we use the identities r sin 0 = y and r cos 0 = x. After substituting these values and simplifying, we get y = ln(sqrt(x^2 + y^2)) + ln(sqrt(1 - x^2)). This equation represents a curve that spirals towards the origin. The vertical asymptotes occur when x = -1 and x = 1, where the natural logarithms approach negative infinity.

(ii) For the polar equation r = 2cos 0 + 2sin 0, we substitute r cos 0 = x and r sin 0 = y. Simplifying the equation yields x^2 + y^2 - 2x - 2y = 0. This is the equation of a circle with center (1, 1) and radius √2. The circle is centered at (1, 1) and passes through the points (0, 1) and (1, 0).

(iii) Converting the polar equation r = cot csc 0 into Cartesian form involves substituting r cos 0 = x and r sin 0 = y. Simplifying the equation results in x^2 + y^2 - x = 0. This equation represents a circle with center (1/2, 0) and radius 1/2. The circle is centered at (1/2, 0) and passes through the point (0, 0).

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Answer:

≈18.85km

Step-by-step explanation:

Formula- 2 x pi x r(radius).

2•3•3.14=18.84

Answer:

18.84

Step-by-step explanation:

3 * 3.14 * 2

Answer: y ≤ -4x - 1.

Step-by-step explanation:

Hello!  

The first thing you know is that since the shaded region is to the (left) or below the line, you will have to use the symbol for equal to or less than (≤).  If the line was a dotted line, then you would use the symbol (<).  If the line was a dotted line and the shaded region was above or to the right of the line, then you would use the symbol (>).  If the line was a regular line like in the picture and the shaded region was to the right of the line instead of to the left like in the picture, then you would use the symbol (≥).  

Secondly, you know that the y-intercept is -1 and the slope is -4 using the equation (y2 - y1)/(x2 - x1) with the coordinates (0, -1) and (1, -5).  Substitute this information into the slope formula, y = mx + b.

y = -4x + (-1) or y = -4x - 1

You now have the equation:

y = -4x - 1.  Use the sign you figured out earlier for the equation in place of the equal sign.  Here is what the final equation should look like:

y ≤ -4x - 1.

Answer:

\(5x^{-10}z^{10\)

Step-by-step explanation:

Given

\(\frac{15x^{-3}z^5}{3x^7z^{-5}}\)

Required

Evaluate

\(\frac{15x^{-3}z^5}{3x^7z^{-5}}\)

Start by dividing 15 by 3

\(\frac{5x^{-3}z^5}{x^7z^{-5}}\)

Apply the following law of indices on indices x and z

\(\frac{a^m}{a^n} = a^{m-n\)

So, the expression becomes:

\(5x^{-3-7}z^{5-(-5)\)

\(5x^{-3-7}z^{5+5\)

\(5x^{-10}z^{10\)

Answer:

Step-by-step explanation:

Answer:

5^4

Given sets of vectors in R3 are:(a) {(-2,5, -3), (6, -15,9), (-10,25, -15)}(b) {(1,2,0), (1,1,1),(4,5,3)}(c) {(0,0,3),(0.1,2), (1,1.0)}

Determine whether the set of all linear combinations of the given sets of vectors in R3 is a line, a plane or all of R3:

1) Set of vectors (a):Set of vectors (a) is not linearly independent. So, the set of all linear combinations of these vectors will not form the R3.

We can say that this set of all linear combinations of the given set of vectors (a) is a plane

.2) Set of vectors (b):The given set of vectors (b) is linearly independent. Hence, we can say that the set of all linear combinations of the given set of vectors (b) forms R3.

Thus, we can say that this set of all linear combinations of the given set of vectors (b) is all of R3.

3) Set of vectors (c):Set of vectors (c) is not linearly independent. So, the set of all linear combinations of these vectors will not form the R3. We can say that this set of all linear combinations of the given set of vectors (c) is a line.

Justification: In order to find whether the set of all linear combinations of the given set of vectors (a) is a line, a plane or all of R3, we need to check whether the given set of vectors (a) is linearly independent or not. If it is linearly independent, then it will form the R3. If it is linearly dependent, then it will form a line or a plane.

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Answer:

701.25 feet squared

Step-by-step explanation:

when you calculate the total area of the circle it comes to 1963.5ft

360 degrees divided by 130 degrees is 2.8 which means you need to divide the total area by 2.8 and the final answer comes to 701.25 feet squared

If he works 14 hours then he will earn the amount of $105 which is true and if he works 16 hours then he will earn $120 which is true.

You should be aware that a linear equation is defined as an equation in which the highest power of the variable is one.

The given graph represents Elisa's work and the amount of money he earns at his job.

According to the given graph,

We can see two points are (4, 30) and (8, 60)

The linear equation will be

⇒ y - 30 = (60-30)/(8-4)(x-4)

⇒ y - 30 = (30)/(4)(x-4)

⇒ y - 30 = 7.5(x-4)

⇒ y = 7.5x - 30 + 30

⇒ y = 7.5x

Elisa's work = 14 hours then we verify the response by substituting x = 14 in the above equation,

⇒ y = 7.5(14)

⇒ y = 105

Thus,  if he works 14 hours then he will earn $105

Elisa's work = 16 hours then we verify the response by substituting x = 16 in the above equation,

⇒ y = 7.5(16)

⇒ y = 120

Thus, if he works 16 hours then he will earn $120.

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Correct question:

The graph below shows the relationship between the number of hours

Cody works and the amount of money he earns at his job. Which of the

following statements is not true about the relationship?

100

90

80

70

60

MONEY EARNED

50

40

30

20

10

1

2

3

4

5

6

7

8 9 10

HOURS WORKED

Answer:

225 inches

Step-by-step explanation:

15 x 15 = 225

Answer: D

Step-by-step explanation: Assuming the left point is A at (-2,2) and the right point is B at (3,1) we can determine the slope by using the “Rise over Run” rule where the change in Y is the “Rise” and the change in X is the “Run”. By setting up the equation y2-y1/x2-x1 we can plug in the coordinates from the variables and get 1-2/3+2 which leaves us with our answer m= -1/5

Answer:

B...................

The answer choice which represents the what is needed to construct a hexagon is Choice B; Six isosceles triangles.

What is needed to construct a hexagon?

By definition, an hexagon is a closed figure with six equal sides and six congruent interior angles.

On this note, upon assembly of six isosceles triangle s in which cases, the excluded side of the isosceles triangles form the sides of the hexagon and the congruent sides represents lines joining each vertex to the center of the hexagon, an hexagon is formed.

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Answer:

The correct answer is six equilateral triangles.

Step-by-step explanation:

The angle at the center of the hexagon is 360°, which is being divided into 6 equal parts. The value of each angle at the center is equal to 60°. All three angles of the 6 triangles formed in the given hexagon are equal to 60°. This proves that there are 6 equilateral triangles.

The experimental probability of spinning blue is 1/4 or 0.25.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

The frequency of blue from the second set of spins is 17, out of a total of 60 spins.

Therefore, the experimental probability of spinning blue is -

Experimental probability of spinning blue = frequency of blue / total number of spins

= 17 / 60

Simplifying this fraction by dividing the numerator and denominator by their greatest common factor (GCF) of 17, we get -

Experimental probability of spinning blue = 17 / 60 = (1 / 4)

Therefore, the probability value is obtained as 1/4 or 0.25.

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Answer:

  D'(25, 0)

Step-by-step explanation:

Dilation by a factor of 5 about the origin multiplies each individual coordinate by 5.

  (x, y) ⇒ (5x, 5y)

  D(5, 0) ⇒ D'(5·5, 5·0) = D'(25, 0)

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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The probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

To find the probability of selecting an anglerfish on the next card, we need to calculate the ratio of the number of anglerfish cards to the total number of cards in the deck.

From the given information, Scarlett selected 2 anglerfish cards during her previous selections.

The total number of cards she selected is 2 + 3 + 1 + 4 + 5 = 15.

Therefore, the probability of selecting an anglerfish card on the next draw is 2/15.

Calculate the total number of cards Scarlett selected.

2 + 3 + 1 + 4 + 5 = 1

Calculate the number of anglerfish cards Scarlett selected.

Scarlett selected 2 anglerfish cards.

Calculate the probability of selecting an anglerfish card on the next draw.

Probability = Number of anglerfish cards / Total number of cards

Probability = 2 / 15

Probability ≈ 0.1333

Thus, the probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

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Answer:

92 minutes

Step-by-step explanation:

"Roughly" 17,150 miles per hour

(which is about 5 minutes per second)

this means that the space station orbits Earth once every 92 minutes.

hoped that helps you and God bless

Note: Your function is not clear.

So, I am assuming a sample function such as

f(x) = -2x + 3

So, I would solve the question based on the assuming function. The reason is that the procedure will remain the same and your concept will be likely cleared anyways.

Answer:

Please check the explanation.

Step-by-step explanation:

Assuming the function

f(x) = -2x + 3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

now substituting x = 0 in the function

y = -2x + 3

y = -2(0) + 3

y = 0 + 3

y = 3

Therefore, the point (0, 3) represents the y-intercept of the function.

The graph of the function y = -2x + 3 is also attched below.

From the graph, it is clear that

at x = 0, y = 3

Thus, point (0, 3) represents the y-intercept of the function.

Answer: 21 hours

Step-by-step explanation:

92-12=80 (1st hour)

80/4=20

so 21 hours

Answer:

8

Step-by-step explanation:

if you wrote out A(n) correctly than the answer is 8

The peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:

y = |x - 16| + 24

This equation models the roof line of Terry's house.

To model the roof line of Terry's house, we can use the concept of absolute value. The equation for an absolute value function can be written as:

y = |x - h| + k

where (h, k) represents the vertex of the absolute value graph.

In this case, the peak of the roof line is at 24 feet. Since the width of the house is 32 feet, the vertex of the absolute value graph will be at the midpoint of the width, which is 16 feet. Therefore, h = 16.

Since the peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:

y = |x - 16| + 24

This equation models the roof line of Terry's house.

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The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

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The correct statement is option (d) Considering a Gaussian GLM with the canonical link, recall that Ể = (XTX)-1X y can be calculated explicitly.

(a) In a GLM with a canonical link function, the likelihood equations can be used to estimate the coefficients of the linear predictor. The residual vector, e = y - û, represents the difference between the observed responses and the predicted means.

(b) In a GLM with a noncanonical link function, the likelihood equations do not necessarily imply that the residuals have mean zero. This means that there may be some systematic error in the model that cannot be explained by the predictor variables.

(c) In a GLM with a canonical link function, an intercept term is needed to ensure that Liſdi = Eiyi. This means that the expected value of the response variable is equal to the linear predictor when all predictor variables are equal to zero.

(d) In a Gaussian GLM with the canonical link, the Fisher Scoring Algorithm can be used to estimate the coefficients of the linear predictor. This algorithm iteratively updates the coefficients using the derivative of the log-likelihood function with respect to the coefficients. The algorithm stops when the change in the coefficients is small.

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Complete Question:

Which one of the following is the correct statement about Newton-Raphson Algorithm?

(a) For a GLM with canonical link function, explain how the likelihood equations imply that the residual vector e = y – û is orthogonal to the column space of X. Here, y and û denote the vectors of the observed responses and the fitted means, respectively.

(b) In a GLM that uses a noncanonical link function, explain why it need not be true that Li Ĝi = Liyi, that is, the residuals need not have mean zero.

(c) Explain why a canonical link GLM needs an intercept term in order to ensure that Liſdi = Eiyi.

(d) Considering a Gaussian GLM with the canonical link, recall that Ể = (XTX)-1X y can be calculated explicitly.

The height of the rectangle is 16.6 millimeters.

To find the height of a rectangle, we can use the formula for the perimeter of a rectangle, which states that the perimeter is equal to twice the sum of its length and width. In this case, the base of the rectangle is given as 15.8 millimeters, and the perimeter is given as 64.8 millimeters.

Let's denote the height of the rectangle as h. Using the formula, we can express the given information as:

Perimeter = 2 × (Base + Height)

Substituting the given values, we have:

64.8 = 2 × (15.8 + h)

To solve for h, we first simplify the equation by multiplying the values inside the parentheses:

64.8 = 2 × 15.8 + 2 × h

Next, we simplify further:

64.8 = 31.6 + 2h

Subtracting 31.6 from both sides:

64.8 - 31.6 = 2h

33.2 = 2h

To isolate h, we divide both sides by 2:

33.2/2 = h

16.6 = h

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Over 40 years, with an annual deposit of $2,500 and average earnings of 5 percent, Carla Lopez's retirement account will accumulate a substantial value.

To calculate the value of Carla Lopez's retirement account, we need to consider the annual deposits and the compounded growth from the average earnings. With an annual deposit of $2,500, we can multiply this amount by the number of years (40) to determine the total amount of deposits made over the investment period: $2,500 * 40 = $100,000.

Next, we need to factor in the average earnings of 5 percent. Compound interest allows the earnings to accumulate over time. To calculate the accumulated value, we can use the formula for compound interest: A = \(P(1 + r/n)^(nt)\), where A is the final amount, P is the principal (initial deposit), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, Carla's annual deposits can be considered the principal, which is $2,500. The annual interest rate is 5 percent, which can be expressed as 0.05. Assuming the interest is compounded annually (n = 1), we can calculate the final amount using the formula: A = $2,500 * (1 + \(0.05)^40.\)

Evaluating this calculation, Carla Lopez's retirement account will have a value of approximately $220,515.39 after 40 years, considering the annual deposits of $2,500 and the average earnings of 5 percent.

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Answer:

Step-by-step explanation:

3/5 divided by 7/10

You use KCF

KCF stands for keep change flip

So it would be 3/5x10/7

3              10                    15

_      x       _        =            _

5               7                       7

you need to simplify it so the 5 in 3/5 would be a 1 and the 10 in 10/7 would be  5

The volume of the solid is 112π.

The region bounded by the curves y = x + 1, y = 0, x = 0, and x = 4 is given below.  The area of the region to be rotated is the area between the curves y = x + 1 and y = 0 from x = 0 to x = 4.

Here, we'll rotate the region about the x-axis. This produces a solid of rotation, and we must determine its volume. We must first form the integral, which will be evaluated.

Formula to calculate the volume of a solid obtained by rotating the area enclosed by \(y = f(x), y = 0, x = a, and x = b about the x-axis is:  V = ∫a^b π(f(x))^2 dx\)  In this case, we have  f\((x) = x + 1, with  a = 0 and b = 4.\)

So we get:

\(V = ∫0^4 π(x + 1)^2 dx V = π∫0^4 (x^2 + 2x + 1) dx V = π[(x^3/3) + x^2 + x] from 0 to 4 V = π[4^3/3 + 4^2 + 4] - π[0] V = (64π/3) + 16π  V = (64 + 48)π  V = 112π\)

The volume of the solid obtained by rotating the region bounded by y = x + 1, y = 0, x = 0, and x = 4 about the x-axis is 112π cubic units or approximately 351.86 cubic units (rounded to two decimal places).

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One example of such a situation can be a case where there are externalities involved.

Externalities are the costs or benefits that are not reflected in the market price. Let's consider a negative externality, specifically pollution caused by a manufacturing firm.

In a standard supply and demand model, the equilibrium is achieved when the marginal cost (MC) curve intersects with the demand (benefit) curve. However, when there are negative externalities, the marginal social cost (MSC) curve is higher than the marginal private cost (MPC) curve. This means that the actual cost to society is higher than what the firm bears.

In such a scenario, equalizing marginal costs and benefits (MC = MB) would not lead to an efficient solution. The socially optimal outcome would require reducing pollution levels, which would result in a lower quantity produced and consumed compared to the equilibrium quantity. By equalizing MC and MB, the market outcome fails to account for the negative externalities and does not consider the overall welfare of society.

To illustrate this situation, a graph can be plotted with the quantity on the x-axis and the cost/benefit on the y-axis. The marginal cost (MC) and marginal benefit (MB) curves would intersect at the equilibrium quantity in a standard model. However, in the presence of negative externalities, the marginal social cost (MSC) curve would be higher than the marginal private cost (MPC) curve, indicating the additional costs imposed on society. I encourage you to create the graph by plotting the relevant curves to visualize this scenario.

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Answer:

Step-by-step explanation:

3/4 + 3/4 + 3/4 + 3/4 = 12/4 = 3. She will walk 3 miles in an hour.

The distance that Anusha covered in one hour is 3 miles

If Anusha is walking on a hiking trail at a rate of three-fourths miles in One-fourth hour, this is expressed as:

3/4 miles = 1/4 hours

We need to get the rate of Aisha that is the distance traveled in an hour

x = 1 hour

Divide both expressions

3/4x = 1/4

Cross multiply

4x = 3 * 4

4x = 12

x = 12/4

x = 3

Hence the distance that Anusha covered in one hour is 3 miles

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