The following equation represents the total price of hot dogs, p=3.25h. How many hot dogs can you buy with $32.00? Hint: Be sure to round appropriately for the situation.

A. 8
B. 9
C. 10
D. 11
E. 104

Answer: 12 INCHES

Step-by-step explanation:

The quadratic function representing the area of ​​the photo and the frame is A(x) =  1.7x²+ 16.2x + 36

When calculating a rectangle's area, we multiply the length by the width of the rectangle.

Area of rectangle = length × breadth

To represent the  photo and frame area, we need to add the photo area  to the frame area. Since the frame is 3 inches wide on all sides, the photo dimensions are reduced by 6 inches in both  length and  width. Therefore the length of the photo with the frame is (x 6) inches and the width is (1.7 x 6) inches. Thus, the area of ​​the photo and the frame can be represented by a quadratic function:

A(x) = (x 6) (1.7 x 6)

Expanding this expression, we get:

A(x) =  1.7x² + 16.2x + 36

So the quadratic function representing the area of ​​the photo and the frame is A(x) =  1.7x²+ 16.2x + 36

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

The statement that is not true on the cube - shaped box is C. The volume of the box is 1 square foot.

The possible dimensions for the bottom layer would be :

In answer to the rectangular prism inquiry, we know that the prism is made of 36 cubic units and has a height of 3 units. To discover all potential bottom layer dimensions, divide the total number of cubic units (36) by the height (3 units):

36 / 3 = 12

The possible dimensions of the bottom layer:

1 x 12 = 12

2 x 6 = 12

3 x 4 = 12

This means that the possible dimensions would be:

Length = 1 unit , Width = 12 units

Length = 2 units , Width = 6 units

Length = 3 units , Width = 4 units

A square foot is a unit of area, not volume. The volume should be measured in cubic feet.

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To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

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

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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g(X) has the larger possible y value and  the maximum y value of f(X) approaches at 2

The complete question includes Options

Check all that apply.

A. g(X) has the larger possible y value

B. The maximum y value of f(X) approaches at 2

C. f(X) and g(X) have equivalent maximum values.

D. f(X) has the largest possible value

A function is a mathematical statement which relates a dependent variable to an independent variable.

It is given in the question to compare the values of y

\(\rm f(x) = -5^x +2\\\\g(x) = -5x^2 +2\)

f(x) is exponential function  and g(x) is a quadratic function

Now, if we evaluate g(x) in x = 0,

the maximum value of y is

y = 2

For the exponential function, the first term becomes zero at the limit of x--> -∞ hence the maximum tends to be 2.

Therefore both Option A and B is correct.

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Answer:A down payment of 25% is made. The bank charges $725 in fees plus $$3 \frac { 1 } { 2 }$$ points. Find the total of the down payment and the closing costs. ... The bank charges $725 in fees plus 312. points. Find the total of the down payment and the ... We found a book related to your question. ... Round to the nearest cent.

Step-by-step explanation: i hope it helps your qestion

If the purchase price of a condominium is $123500, down payment of 23%, then the total of down payment and the closing costs is $166725.

Percentage is the number or ratio that is expressed in fraction of 100. It is expressed as %. It shows some part of large quantity.

We have been given that the price of condominium is $123500. Down payment is 23% of the total price , it is 23%*123500=$28405

Left out amount will be 123500-28405=$95095.

Points=(2*3+1)/2=7/2

let the percentage of fees be x% then fees percentage will be :

7/2=x/100

x=35%

Fees will be 123500*35%=$43225.

Closing cost=95095+43225=$138320

Total will be 28405+138320

=$166725

Hence the total of down payment and closing cost will be $166725.

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The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

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Answer:

number of math textbooks sold: 211

number of chemistry textbooks sold: 159

Step-by-step explanation:

let \(x\) be the number of math textbooks sold

let \(y\) be the number of chemistry textbooks sold

\(y=x-52\)

\(y+52=x\)

\(x+y=370\)

\(y+52+y=370\)

\(2y=318\)

\(y=159\)

\(x=159+52\)

\(x=211\)

This question is incomplete, the complete question is;

The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 12/13 , and the y-coordinate is negative.

Answer: P( x, y ) = ( -5/13, 12/13 )

Step-by-step explanation:

Given that;

p( x, y ) is on the unit circle,

Radius of the circle must be 1

so the equation x² + y² = r²

x = 12/13 and r = 1

(12/13)² + y² = 1²

y² = 1 - (12/13)²

y = √ [ 1 - (12/13)² ]

y =  ±5/13

since the y-coordinate is negative y = -5/13

Therefore, P( x, y ) = ( -5/13, 12/13 )

The measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc RS = 2(m∠RQS)

Also arc AD = 140°

2(m∠RQS) = 140°

m∠RQS = 140°/2 {divide through by 2}

m∠RQS = 70°

Therefore, the measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

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Option three log3 + log(x+4) is the equivalent to the logarithm expression  log3(x+4).

It is given that logarithm expression is log3(x+4).

It is required to simplify the above equation.

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

aᵇ = c

logₐc = b

We have logarithm expression:

log3(x+4)

We know the log property that we can split a logarithm into two logarithms if it contains the product of two numbers ie.

log xy = logx + logy

By using this property we get:

log3(x+4)

= log3 + log(x+4)

Because 3 and (x+4) are two different numbers, not (x+4).

Thus, option three log3 + log(x+4) is the equivalent to the logarithm expression log3(x+4).

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If Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

To show that x is also an eigenvector of QT, we need to demonstrate that QT * x is a scalar multiple of x.

Given that Q is an orthogonal matrix, we know that QT * Q = I, where I is the identity matrix. This implies that Q * QT = I as well.

Let's denote x as the eigenvector corresponding to the eigenvalue λ1 This means that Q * x = λ1 * x.

Now, let's consider QT * x. We can multiply both sides of the equation Q * x = λ1 * x by QT:

QT * (Q * x) = QT * (λ1 * x)

Applying the associative property of matrix multiplication, we have:

(QT * Q) * x = λ1 * (QT * x)

Using the fact that Q * QT = I, we can simplify further:

I * x = λ1 * (QT * x)

Since I * x equals x, we have:

x = λ1 * (QT * x)

Now, notice that λ1 * (QT * x) is a scalar multiple of x, where the scalar is λ1. Therefore, we can rewrite the equation as:

x = λ2 * x

where λ2 = λ1 * (QT * x).

This shows that x is indeed an eigenvector of QT, with the eigenvalue λ2 = λ1 * (QT * x).

In conclusion, if Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

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If we rearrange the equation to make x the subject a=4x/t-p, then we will have \(x= \frac{a(t-p)}{4}\)

from the question we were given the equation a=4x/t-p which is required to rearrange so that X can be made the subject of the formular, and this can be done below:

\(a=\frac{4x}{t-p}\)

\(4x= a(t-p)\)

\(x= \frac{a(t-p)}{4}\)

Therefore If we rearrange the equation to make x the subject a=4x/t-p, then we will have , \(x= \frac{a(t-p)}{4}\) because if we make the x the subject of the formular it will stay alone at the one side when all other term at the opposite side.

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NOTE; This is a complete question , no given option , even on internet.

Answer:

Step-by-step explanation:

The standard deviation of the sampling distribution of sample means is given by the formula:

standard deviation = population standard deviation / sqrt(sample size)

Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:

standard deviation = 0.8 / sqrt(38)

standard deviation ≈ 0.13

Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.

The missing areas and dimensions of the given squares, rectangles, and triangles are:

2. 36 cm²

3. 21 cm²

4. 9 cm²

5. 5 cm

6. 10 cm

7. 4 cm

8. 8 cm

9. 7 cm

10. 7

11. 10

Area of a square = s²

Area of a rectangle = (length)(breadth)

Area of a triangle = 1/2(base)(height).

2. Area of square = s² = 6² = 36 cm².

3. Area of a rectangle = (length)(breadth) = (3)(7) = 21 cm².

4. Area of a triangle = 1/2(base)(height) = 1/2(3)(6) = 9 cm².

5. Area of a rectangle = (length)(breadth)

60 = (12)(breadth)

Breadth = 60/12

Breadth = 5 cm.

6. Area of a triangle = 1/2(base)(height)

35 = 1/2(7)(height)

Height = (35)(2)/7

Height = 10 cm

7. Area of a square = s²

16 = s²

s = √16

s = length = 4 cm

8. Area of a triangle = 1/2(base)(height)

40 = 1/2(10)(height)

Height = 40/5

Height = 8 cm.

9. Area of a square = s²

49 = s²

s = √49

s = length = 7 cm

10. Area of a rectangle = (length)(breadth)

84 = (12)(breadth)

Breadth = 84/12

Breadth = 7 cm.

11. Area of a triangle = 1/2(base)(height)

35 = 1/2(7)(height)

Height = 70/7

Height = 10 cm.

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The value of the inverse of the equation is this: x³ -3 = y

To find the inverse of the equation follow these steps:

1. Replace H(x) with y.

y = (x + 4)³ - 1

2. Interchange the values of X and Y.

X = (y + 4)³ - 1

3. Find the cube root of both sides

x³ = y + 4  - 1

4. Find the value of y

x³ - 4 + 1 = y

x³ -3 = y

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Answer:

Answer, is 85

Step-by-step explanation:

You're welcome.

12.5 * 2 = 25 pizzas for 100 students

Answer:

Mrs Anderson should only order 25 pizzas

Step-by-step explanation:

100/8=12.5

so therefore. (8x12.5=100:2x12.5=25),i.e 100:25

The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).

To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.

Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:

x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3

Similarly, the y-coordinate of the point is given by:

y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5

Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).

To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).

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Answer:

Sample response: The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.

Step-by-step explanation:

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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What do you want help with? You didn't ask a question...

Answer:3/8

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

∠ 2 = 66°

Step-by-step explanation:

∠ 1 and ∠ 2 are same- side interior angles and sum to 180° , then

∠ 2 + 114° = 180° ( subtract 114° from both sides )

∠ 2 = 66°