Find the Perimeter and Area of a square with a side that measures 8 inches? helpp!

Each membership plan costs $65 if Austen takes 6 classes per month.

Let's write a system of equations to describe the situation, solve it using substitution, and fill in the blanks.

Let x be the number of classes Austen takes per month, and y be the total cost of the membership plan.

For the first membership plan, the equation is:

y = 47 + 3x

For the second membership plan, the equation is:

y = 41 + 4x

Since both plans cost the same total amount, we can set the equations equal to each other and solve for x:

47 + 3x = 41 + 4x

In order to find x, follow these steps:

1. Subtract 3x from both sides:

47 = 41 + x

2. Subtract 41 from both sides:

6 = x

3. Now we know that Austen takes 6 classes per month. Let's plug the value of x back into one of the equations to find the total cost (y). We can use the first equation:

y = 47 + 3(6)

4. Multiply 3 by 6:

y = 47 + 18

5. Add 47 and 18:

y = 65

Hence, if Austen takes 6 classes per month then  each membership plan costs $65

Note: The question is incomplete. The complete question probably is: Austen wants to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, Austen can pay $47 per month, plus $3 for each group class he attends. alternately, he can get the second membership plan and pay $41 per month plus $4 per class. If Austen attends a certain number of classes in a month, the two membership plans end up costing the same total amount. What is that total amount? How many classes per month is that?

Each membership plan costs $_____ if Austen takes ____ classes per month.

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Tamara needs tiles to make a border for her bathroom wall. The border will be 9 ft long and 1/3 ft wide. Each tile measures 1/3 ft by 1/3 ft. Each box of tiles contains 6 tiles.  Tamara needs 5 boxes of tiles.

First, we need to determine the area of the border in square feet. We are given that the border will be 9 ft long and 1/3 ft wide, so its area is:

Area = length x width

Area = 9 ft x 1/3 ft

Area = 3 ft²

Next, we need to determine the area of one tile in square feet. We are given that each tile measures 1/3 ft by 1/3 ft, so its area is:

Area per tile = length x width

Area per tile = 1/3 ft x 1/3 ft

Area per tile = 1/9 ft²

To cover the 3 ft² border with tiles that have an area of 1/9 ft² each, we need:

Number of tiles = Area to cover / Area per tile

Number of tiles = 3 ft² / (1/9 ft²)

Number of tiles = 27 tiles

Since each box of tiles contains 6 tiles, Tamara needs:

Number of boxes = Number of tiles / Tiles per box

Number of boxes = 27 tiles / 6 tiles per box

Number of boxes = 4.5 boxes

We can't buy a fractional part of a box, so Tamara will need to purchase 5 boxes of tiles.

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Answer:

3+i

Step-by-step explanation:

|3+i| is just 3+i because it is already positive.

Answer:

Either A or D, but the answer is \(f(x) = 3^x\).

Step-by-step explanation:

We can check for exponential growth by checking for an \(x\) in the exponent of a constant value in the function, which is this case for \(f(x) = 3^x\).

f(x) = x + 3 function represents exponential growth. So the correct option is option is c.

An exponential function is a arithmetic function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is know the base of the function and it will be greater than 0.

An exponential function is explain by the formula f(x) = ax, where the input variable x take place as an exponent.

The exponential curve turn on the exponential function and it depends on the value of the x.

The exponential function is an main arithmetic function which is of the form

f(x) = ax

Exponential Growth

In Exponential Growth, the quantity grow very slowly at first, and then quickly. The rate of change growth over time. The rate of growth becomes faster as time passes. The quick growth is meant to be an “exponential increase”. The formula to explain the exponential growth is:

y = a ( 1+ r )x

Where r is the growth percentage.

Therefore, f(x) = x + 3 is a function represents exponential growth.

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Sample variance is a term that be defined as the outcome of the squared difference of any given data points that is said to be obtained from the mean of the data set.

It is also known to be a form of an absolute measure of a dispersion and is known also to be used to examine the deviation of data points with regards to the data's average.

Population variance is a term that is defined as a measure of the de spread of population data.

Therefore, Sample variance is a term that be defined as the outcome of the squared difference of any given data points that is said to be obtained from the mean of the data set.

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Answer:

(2,1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=2

y=1

Answer:

Alright, we have 4 2/5   /    1/4.

First of all, let's convert the mixed number into an improper fraction.

4 2/5 = 22 / 5

Dividing something by 1/4 is the same as multiplying it by 4.

22 / 5        *        4

This is 88 / 5 :)

Answer:

88/5 = 17 3/5

Step-by-step explanation:

Find the common denominator and simplify. hope it helped.

The distance when the mass is 5kg is 15cm.

When two values vary directly, it means that both values move in the same direction. If one of the value increases, the other value increases and if one of the values decreases, the other value decreases.

The equation that is used to represent direct variation is:

d = km

Where:

The first step is to determine the value of k:

12 = 4k

k = 12 / 4

k = 3

d = 3 x 5 = 15cm

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Answer:

x=19

Step-by-step explanation:

Basic Algebra.

x - 13 = 6

Simply move the 13 to the right side.

This involves changing the sign to positive, due to it being a negative integer.

The resulting outcome is

x = 13+6

Which concludes to

x=19

∫[3, 8] f(x) dx equals approximately 1683.17.

∫[3, 8] g(x) dx equals approximately 1932.5

To evaluate the given integrals, let's first identify the functions f(x) and g(x) and their respective intervals.

f(x) = 4x^2 - 3x + 2

g(x) = 2x^3 - 5x + 1

Interval: [3, 8]

Now, let's evaluate the integrals step by step.

∫[3, 8] f(x) dx:

We integrate the function f(x) over the interval [3, 8].

∫[3, 8] (4x^2 - 3x + 2) dx

To find the integral, we can use the power rule for integration. For each term, we increase the exponent by 1 and divide by the new exponent.

= [4 * (x^3/3) - 3 * (x^2/2) + 2x] evaluated from 3 to 8

Now we substitute the upper and lower limits into the integral expression:

= [(4 * (8^3/3) - 3 * (8^2/2) + 2 * 8) - (4 * (3^3/3) - 3 * (3^2/2) + 2 * 3)]

Simplifying further:

= [(4 * 512/3) - (3 * 16/2) + 16 - (4 * 27/3) + (3 * 9/2) + 6]

= [(1706.67) - (24) + 16 - (36) + (13.5) + 6]

= 1683.17

Therefore, ∫[3, 8] f(x) dx equals approximately 1683.17.

∫[3, 8] g(x) dx:

We integrate the function g(x) over the interval [3, 8].

∫[3, 8] (2x^3 - 5x + 1) dx

Using the power rule for integration:

= [(2 * (x^4/4)) - (5 * (x^2/2)) + x] evaluated from 3 to 8

Substituting the upper and lower limits:

= [(2 * (8^4/4)) - (5 * (8^2/2)) + 8 - (2 * (3^4/4)) + (5 * (3^2/2)) + 3]

Simplifying further:

= [(2 * 4096/4) - (5 * 64/2) + 8 - (2 * 81/4) + (5 * 9/2) + 3]

= [(2048) - (160) + 8 - (162/2) + (45/2) + 3]

= 1932.5

Therefore, ∫[3, 8] g(x) dx equals approximately 1932.5

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Answer:

Functions A and B have the same y-intercept.

Step-by-step explanation:

Their functions both have a y-intercept of 2. These are what they look like when graphed.

Parametrization of equations x=x(t), y=y(t) for f(x)=x^8−x^2−6 from (5,−4) to (9,−1) is that parametrization does indeed connect the points (5, -4) and (9, -1).

A parametrization for the curve that connects the points (5, -4) and (9, -1) given by the function f(x) = \(x^8 - x^2 - 6.\)

To do this, we can use the parameter t to represent points on the curve as follows:

x(t) = 5 + 4t, since we want x to start at 5 and end at 9, so we need to add 4 to x over the interval [0, 1].

Substituting this into our function f(x), we get:

y(t) = f(x(t)) = \((5 + 4t)^8 - (5 + 4t)^2 - 6\).

Therefore, our parametrization is:

x(t) = 5 + 4t

y(t) = (5 + 4t)^8 - (5 + 4t)^2 - 6

To verify that this parametrization does indeed connect the points (5, -4) and (9, -1), we can check that x(0) = 5, x(1) = 9, y(0) = f(5) = -4, and y(1) = f(9) = -1.

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The graph that represents the function f(x) = 4[x] is option C.

Option C is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 4 [x]

[x] is the greatest integer function.

We see that,

f(0) = 4 [0] = 0

f(0.5) = 4 [0.5] = 4 x 0 = 0

f(x) = 0 for 0 ≤ x < 1

f(1) = 4 [1] = 4

f(1.5) = 4 [1.5] = 4 x 1 = 4

f(x) = 4 for 1 ≤ x < 2

f(2) = 4 [2] = 4 x 2 = 8

f(2.5) = 4 [2.5] = 4 x 2 = 8

f(x) = 8 for 2 ≤ x < 2

Thus,

The graph on option C has the required coordinates.

f(x) = 0 for 0 ≤ x < 1

f(x) = 4 for 1 ≤ x < 2

f(x) = 0 for 2 ≤ x < 2

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Answer: Please adjust the 37. The answer would be 40.

Step-by-step explanation:

23 + 17 obviously equals 40.

Answer:

3

Step-by-step explanation:

Answer:

Correct answer is B) No, height is not a function of weight because 2 students weigh 165 pounds but have different heights.

Answer:

y = -2x + 17

Step-by-step explanation:

y has to equal 5:

incorrect

y = -2x - 17

y = -2(6) - 17

y = -12 - 17

y = -29

incorrect

y = -2x - 16

y = -2(6) - 16

y = -12 - 16

y = -28

incorrect

y = -2x + 16

y = -2(6) + 16

y = -12 + 16

y = 4

correct

y = -2x + 17

y = -2(6) + 17

y = -12 + 17

y = 5

Answer:

0.42

Step-by-step explanation:

<3

Answer:

3 < M - N < 9

Step-by-step explanation:

First, let's write the inequalities for these two numbers.

"a number greater than -3 and less than -2"

 -3 < N < -2

"a number greater than 1 and less than 6"

1 < M < 6

We want to subtract the first one to the second one, so we want to get:

M - N

Because this is a subtraction, the lower bound of the subtraction happens when we have the minimum value of M and the maximum value of N.

Then the minimum value of M - N happens when:

M = 1

N = -2

(notice that M can't be equal to 1, and N can't be equal to -2, we just do this to find the lower bound)

Then the lower bound is:

M - N = 1 - (-2) = 3

We already got:

3 < M - N

For the upper bound, we need to find the difference between the largest value of M, and the lowest value of N

This is:

M = 6

N = -3

M - N = 6 - (-3) = 9

Then:

M - N < 9

If we take both of our results, the possible values of the subtraction are given by:

3 < M - N < 9

The result of subtracting a number greater than -3 and less than -2 from a number greater than 1 and less than 6 is mathematically given as

3 < M - N < 9

Question Parameter(s):

-3 < N < -2

1 < M < 6

therefore,

subtraction for lower bound

M - N = 1 - (-2)

M - N = 3

3 < M - N

subtraction for upper bound

M - N = 6 - (-3)

M - N = 9

M - N < 9

In conclusion,  the possible values after subtraction are

3 < M - N < 9

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The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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Let x be number of months.

The cost of the first company is:

The cost of the second company is:

To find after how many months the services will be the same we equate the expressions and solve for x:

Therefore, the phone services will cost the same after 6 months.

The interpretation of this expression is that the partial derivative of TC w.r.t. x is the rate of change of TC with respect to x, considering all other variables constant. It means if we change one unit of labor, TC will increase by 2e2x - 4 units, considering all other variables remain constant.

T C = 1/2 e2x + ey - 4x - 2ywhere x = units of labor and y = units of human capital, x, y > 0.Calculate:We need to calculate dTC/dx.

Interpretation:First, we need to calculate partial derivative of T C w.r.t. x. We know that partial derivative of a function with respect to one of its variable means to find the derivative of that variable with respect to the function, considering the other variables constant. Hence, it is a rate of change of one variable with respect to other variables considered constant. This is used to find the slope of a surface in a given direction.

The partial derivative of T C w.r.t. x is given as:

∂/∂x (T C)

= 2e2x - 4.∂/∂x (T C)

= 2e2x - 4

The interpretation of this expression is that the partial derivative of TC w.r.t. x is the rate of change of TC with respect to x, considering all other variables constant. It means if we change one unit of labor, TC will increase by 2e2x - 4 units, considering all other variables remain constant.

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Answer: 29.78

Step-by-step explanation:

Answer:

29.78

Step-by-step explanation:

calculator power hun.

The next Q value for an SR-latch when S=0 and R=1 is 0.

In an SR-latch, the Q output depends on the set (S) and reset (R) inputs. When S=0 and R=1, it means that the input has requested to reset the latch.

In this case, the Q output will be 0 regardless of the previous state. This is because the reset input overrides any previous set input and forces the output to 0. So, the next q value for an sr-latch when s = 0, r = 1 is 0.

Therefore, the next Q value for an SR-latch when S=0 and R=1 will always be 0, regardless of the previous state of the latch.

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9514 1404 393

Answer:

  D.  90

Step-by-step explanation:

The radius VG is the same as the radius VO. That radius is ...

  VG = VA +AG = 24 +27 = 51

Then the Pythagorean theorem tells you ...

  VO^2 = VA^2 +AO^2

  AO = √(VO^2 -VA^2)

  AO = √(51^2 -24^2) = √2025 = 45

The desired length is ...

  TO = 2·AO = 2·45

  TO = 90

Answer:

  3 1/3 hours

Step-by-step explanation:

It takes Kevin 5 hours to clean the tank, but only 2 hours when he works together with Lara. You want to know how long it takes Lara to clean the tank working alone.

It is useful for "working together" problems to consider the rate of work being done in terms of projects per unit time. These rates add.

  Kevin's rate: 1/5 tank/hour

  Working together rate: 1/2 tank/hour

Using ...

  working together rate = Kevin's rate + Lara's rate

we find that ...

  Lara's rate = working together rate - Kevin's rate

  Lara's rate = (1/2 tank/hour) -(1/5 tank/hour) = 3/10 tank/hour

Then the time it takes for Lara working alone is ...

  Time = (1 tank)/(Lara's rate) = (1 tank)/(3/10 tank/hour)

  = 10/3 hours = 3 1/3 hours

It takes Lara 3 1/3 hours to clean the tank working by herself.

Answer:

275 shirts

Step-by-step explanation:

16%x = 44

0.16x= 44

x= 44/0.16

x= 275

Reflection in geometry means the type of transformation that flips a shape in a mirror line.

What is reflection ?

Reflection is a type of transformation that flips a shape in a mirror line so that each point is the same distance from the mirror line as its reflected point.

Let us suppose that the triangle with one coordinate  \((3,-5)\) and the other two are unknown and we do not even want to know them but it would be better if we do know them:-

And we have a graph.

Let us draw a line \(y=-2\) on the graph and draw the triangle

Now the coordinates \((3,-5)\) are three boxes away from the line \(y=-2\), so we plot this coordinate three boxes up from the line \(y=-2\) and do the same for other coordinates so \((x,y)\) is one box up from the line \(y=-2\) so we plot the coordinates one box up from the line \(y=-2\)

Hence, the image is located at \(G\) is plotted above.

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Answer:

The last one.Because the experimental probability is 11 ÷ 50, which is 22%, and the theoretical probability is 1 ÷ 8, which is 12.5%