Our class is planning to paint a rectangular mural with an area of 60 square feet, it has to be at least 4 feet high but no more than 6 feet the length and width have to be hold numbers list of possible width for the

Grant should pay approximately $211.96 today for the annual membership, considering an interest rate of 10% and the option to pay in 12 monthly installments of $55 each.

To determine how much Grant should pay today for the annual membership, we need to calculate the present value of the 12 monthly payments of $55 each, considering an interest rate of 10%.

The present value (PV) can be calculated using the formula:

PV = C * (1 - (1 + r)^(-n)) / r

Where:

C = the monthly payment amount ($55)

r = the monthly interest rate (10% / 12 = 0.00833)

n = the number of payments (12)

Plugging in the values into the formula, we can calculate the present value:

PV = 55 * (1 - (1 + 0.00833)^(-12)) / 0.00833

PV ≈ 55 * (1 - 0.6806) / 0.00833

PV ≈ 55 * 0.3194 / 0.00833

PV ≈ 211.96

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Answer:

B. x = 2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

check by substituting each given value of x into the function

x = 0 ⇒ y =  × 0² = 0

hence (0, 0) is correct

x = 2 ⇒ y =  × 4 = 3

hence (2, 4 ) is incorrect

x = 3 ⇒ y =  × 9 = 6  

hence (3, 6 ) is correct

x = 5 ⇒ y =  × 25 = 18  

hence (5, 18 ) is correct

Answer:

$6

Step-by-step explanation:

A is a 1 x 4 matrix, the columns of B must be equal in order for the matrix product to be the same.

In order for AB to be equal to BA, all of the conditions below must be true:

A. a = b B. a = d C. c = 0 d = 0 D. b = c.

This is because the matrix B contains a, b, c, and d as entries,

and since A is a 1 x 4 matrix, the columns of B must be equal in order for the matrix product to be the same.

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The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

1) To find out the inverse function of a function we need to swap the variables, and then isolate the y variable on the left, like this:

Note that after that, we can isolate and then divide the whole function by -1

2) Hence, the answer is:

The probability of selecting a human character randomly in the game is \(\frac{1}{3}\)

The probability that a human character will be chosen when the player selects a character randomly can be calculated by dividing the number of human characters by the total number of available characters.

There are 8 animal characters and 4 human characters, making a total of 12 characters to choose from. Therefore, the probability of selecting a human character randomly is:

P(Human) = Number of human characters / Total number of characters

P(Human) = 4 / 12

Simplifying this fraction, we find:

P(Human) = 1 / 3

Therefore, the probability of selecting a human character randomly is 1/3 or approximately 0.333.

In the given scenario, there are a total of 8 animal characters and 4 human characters, making a total of 12 characters to choose from. When a player selects a character randomly, each character has an equal chance of being chosen. Since there are 4 human characters, the probability of selecting one of them is determined by dividing the number of human characters (4) by the total number of characters (12).

When we simplify the fraction 4/12, we find that it is equal to 1/3.

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Answer:

16x^(2)+40y^(6)

Step-by-step explanation:

Answer:

-4 and 8

Step-by-step explanation:

brainlist pls :>

Answer: Im pretty sure you do

Step-by-step explanation: your welcome

High clouds are those that form at altitudes of at least 20,000 ft (6000 m).

At high altitudes, ice crystals form due to which cloud formation occurs.   Cirrus, cirrostratus, and cirrocumulus clouds are a few types of clouds. Cirrostratus clouds frequently form a thin, white layer that resembles a veil and covers the entire sky. Small, spherical, white clouds called cirrocumulus develop in long rows. Because they can provide information about changes in atmospheric pressure, temperature, and moisture levels in the upper atmosphere, these high clouds are crucial for meteorologists to investigate.

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MRS =\(\frac{\partial U/\partial X}{\partial U/\partial Y} = \frac{2}{1/4} = 8\)  It is a rectangular hyperbola whose slope becomes steep as we move down the curve.

Utility function is

\(U(X,Y) = X1/2Y1/2.\) The given bundle is X=1 and Y=16.

i) Marginal Rate of Substitution (MRS) is:

\(\frac{\partial U/\partial X}{\partial U/\partial Y} Substitute the given bundle X = 1 and Y = 16 into\)

\(U(X,Y) = X1/2Y1/2:U(X,Y) = (1)1/2(16)1/2U(X,Y) = 4\)

Taking partial derivatives,

\(\frac{\partial U}{\partial X} = \frac{1}{2}X^{-1/2}Y^{1/2}\frac{\partial U}{\partial Y} = \frac{1}{2}X^{1/2}Y^{-1/2}\)

Substitute the given bundle X = 1 and Y = 16 into the partial derivatives above,

\(\frac{\partial U}{\partial X} = \frac{1}{2}(1)^{-1/2}(16)^{1/2} = 2\frac{\partial U}{\partial Y} = \frac{1}{2}(1)^{1/2}(16)^{-1/2} = \frac{1}{4}\)

Now, the MRS at (1, 16) is,

\(MRS = \frac{\partial U/\partial X}{\partial U/\partial Y} = \frac{2}{1/4} = 8\)

ii) The given bundle is (1, 16).

For the given utility function, the indifference curve passing through (1,16) can be calculated as below:

\(U(X,Y) = X^{1/2}Y^{1/2}lug in U(X,Y) = 4, and solve for Y,4 = X^{1/2}Y^{1/2}16 = Y\\)

therefore\(U(X, 16) = X^{1/2}(16)^{1/2}\)

Indifference curve passing through (1, 16) is\(X^(1/2)(16)^(1/2) = 16.\)

It is a rectangular hyperbola whose slope becomes steep as we move down the curve.

To draw the graph, the scale of each axis is up to 16. The graph is:

The given bundle (1,16) is marked on the graph with a point. The IC curve is the rectangular hyperbola

\(X^(1/2)(16)^(1/2) = 16.\) The axis of good X and good Y are also marked. The scale of each axis is up to 16.

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The measure of the obtuse angle in the triangle is 108 degrees.

A triangle is a polygon with three sides. The total sum of the angles in a triangle is 180 degrees.

Therefore, the measure of the obtuse angle in the triangle can be found as follows;

An obtuse angle is an angle which is greater than 90° and less than 180°.

Hence, the angles of the triangle are 1x, 3x and 6x.

3x + 1x + 6x = 180

10x = 180

x = 180 / 10

x = 18

Therefore, the obtuse angle of the triangle is 6(18) = 108 degrees.

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Answer:

c) 108 on edgen

perimeter of a semicircle is \(\frac{2\pi r}{2}+2r=\frac{d\pi}2 +d\)

$d=14$

so, perimeter= $14\cdot\frac{22}7\cdot \frac{1}2+14=22+14=36$ cm

Answer:

Perimeter of semi-circle = 36 cm

Step-by-step explanation:

diameter = d = 14 cm

Perimeter of semicircle = Circumference of semi-circle + diameter

                                       = \(\frac{1}{2}\pi d + d\)

                                       = \(\frac{1}{2}*\frac{22}{7}*14 +14\\\)

                                       = 22 + 14

                                       = 36 cm

Answer:

-17

Step-by-step explanation:

Answer:

8x^2(2x^3 - 6x^2 + 5).

Step-by-step explanation:

The GCF is 8x^2 so we have:

8x^2(2x^3 - 6x^2 + 5)

Answer: There are 198 different combinations.

Step-by-step explanation:

To solve this type of problem, first, we need to identify the selections.

We have 3 selections.

Baby doll, Jigsaw puzzle, and a stuffed dog.

Now, we need to count the numbers of options for each case:

Baby doll: 11 options.

Jigsaw Puzzle: 6 options.

Stuffed dog: 3 options.

To find the total number of different combinations, we need to multiply all the numbers of options together, this is:

Combinations = 11*6*3 = 198

There are 198 different combinations.

Answer:

A

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

The distance in-between points F and G is 4.5

Answer:

12.9 ft²

Step-by-step explanation:

sin = opp/hyp

sin 40 = height/ 5

5 * sin40 = height

h = 3.213938048432697

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

area = (1/2)bh

a = (1/2) * 8 * 3.213938048432697

a = 12.9 ft²

D.

It's an upside-down ln(x) function that's been shifted 3 units to the left.

The surface area is increasing at a rate of 144π square feet per minute at the instant the radius is 3 ft.

To solve this problem, we will use the formula for the volume of a sphere:

V = (4/3)πr^3

We can take the derivative of both sides with respect to time (t) to find the rate of change of the volume:

dV/dt = 4πr^2(dr/dt)

We know that the rate of change of the volume is 72π (cubic feet per minute), and we are given that the radius is 3 feet. Plugging in these values, we can solve for dr/dt:

72π = 4π(3^2)(dr/dt)

dr/dt = 6 ft/min

So the balloon's radius is increasing at a rate of 6 ft/min when the radius is 3 ft.

To find the rate of change of the surface area, we can use the formula:

A = 4πr^2

Taking the derivative with respect to time, we get:

dA/dt = 8πr(dr/dt)

Again, we know that the rate of change of the radius is 6 ft/min when the radius is 3 ft. Plugging in these values, we can solve for dA/dt:

dA/dt = 8π(3)(6) = 144π

So the surface area is increasing at a rate of 144π square feet per minute when the radius is 3 ft.

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The value of x that makes the given image to be a rectangle is: x = 2.5

The length of the diagonals of a rectangle are equal and congruent to each other. It is also pertinent to note that the diagonals of a rectangle bisect each other at the center. Thus:

From the given parameters, we see that half of the diagonals have been labelled and as such we have:

8x - 3 = 4x + 7

Rearrange to have like terms on same side and so we have:

8x - 4x = 7 + 3

4x = 10

x = 10/4

x = 2.5

Thus, the value of x from the calculation above of the rectangle is 2.5

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Answer: -70 1/4

Step-by-step explanation:

50 1/2 - 120 3/4

hoped this helped

The total area of the shape is equal to 102 cm².

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

Where:

Next, we would determine the area of this irregular shape in parts as follows;

Area of rectangle 1 = 15 × 6

Area of rectangle 1 = 90 cm²

Area of rectangle 2 = 4 × 3

Area of rectangle 2 = 12 cm²

Total area of irregular shape = 90 + 12

Total area of irregular shape = 102 cm²

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The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:

Step 1: Arrange the data in ascending order:

68, 69, 73, 78, 88, 90, 94

Step 2: Find the five-number summary:

Minimum: The smallest value in the dataset, which is 68.

First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.

Median (Q2): The middle value of the dataset. In this case, it's 78.

Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.

Maximum: The largest value in the dataset, which is 94.

Step 3: Create the box and whisker plot:

Draw a number line with a range from the minimum (68) to the maximum (94).

Mark the first quartile (Q1) at 69.

Mark the median (Q2) at 78.

Mark the third quartile (Q3) at 90.

Draw a box from Q1 to Q3.

Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).

The resulting box and whisker plot for the given dataset would look like this:

  |

 94|                 ▄

  |                ╱ ╲

 90|              ╱   ╲

  |             ╱     ╲

 88|            ▇       ▂

  |            ▇       ▂

 78|            ▇       ▂

  |            ▇       ▂

 73|          ╱         ╲

  |         ╱           ╲

 69|        ▃             ▃

  |       ╱               ╲

 68|      ╱                 ╲

  |_________________________________

    68     73     78     88     94

This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

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The equation of the line is that passes through (1,4) and (3, -6) is

y = -5x + 9

First, write the equation in slope-intercept form:

y = mx + b

(the m is the slope, and b is the y-intercept)

Now, Lets find the slope(m) of the line by using the formula:

y2-y1/x2-x1

(-6 - 4)/ (3 - 1) = -10/2 = -5

Next, find the y-intercept (b) by using the slope-intercept form equation and substituting -5 in for m and one of the ordered pairs in for x and y:

4 = (-5)(1) + b

b = 9

-OR-

-6 = (-5)(3) + b

b = -6 + 15 = 9

b = 9

Now, we can write the full equation of the line:

y = -5x + 9 is the answer

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The perimeter of the sandbox is 2x+2y.

Therefore, the inequality is

\(\boxed{2x+2y \leq 20}\)

When looking at the results of a 90% confidence interval, we can predict the results of a two-sided significance test as follows: if the confidence interval does not include the null hypothesis value, then the two-sided significance test will reject the null hypothesis at the 10% significance level.

Conversely, if the confidence interval includes the null hypothesis value, then the two-sided significance test will fail to reject the null hypothesis at the 10% significance level. This is because the confidence interval provides a range of plausible values for the true population parameter, and if the null hypothesis value is not within this range, then it is unlikely to be true, leading to rejection of the null hypothesis.

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