What is the approximate area of the circle shown below?

Answer:

After 4 exercise classes, the monthly cost will be the same at each gym

The cost will be $52

Step-by-step explanation:

Assume that the number of the exercise classes is x

∵ Get Fit Headquarters charges $40 per month and $3 per exercise class

∵ The number of the exercise classes is x

→ Add $40 to the product of x and $3 to get the monthly cost

∴ The monthly cost of Get Fit = 3x + 40

∵ Fit Planet charges $20 per month and $8 per exercise class

∵ The number of the exercise classes is x

→ Add $20 to the product of x and $8 to get the monthly cost

∴ The monthly cost of Fit Planet = 8x + 20

∵ They have the same monthly cost

→ Equate their monthly cost to find x

∴ 8x + 20 = 3x + 40

→ Subtract 3x from both sides

∵ 8x - 3x + 20 = 3x - 3x + 40

∴ 5x + 20 = 40

→ Subtract 20 from both sides

∵ 5x + 20 - 20 = 40 - 20

∴ 5x = 20

→ Divide both sides by 5

∴ x = 4

∵ x is the number of the exercise classes

∴ After 4 exercise classes the monthly cost will be the same at each gym

→ Substitute the value of x in one of the monthly cost to get it

∵ The monthly cost of the Get Fit = 3(4) + 40

∴ The monthly cost of the Get Fit = 12  +40

∴ The monthly cost of the Get Fit = 52

∴ The cost will be $52

Answer:

[tex]b_2 = \frac{2A}{h} -b_1[/tex]

Step-by-step explanation:

Given

[tex]A = \frac{1}{2}h(b_1 + b_2)[/tex]

Required

Select equivalent expressions

Multiply through by 2

[tex]2*A = 2*\frac{1}{2}h(b_1 + b_2)[/tex]

[tex]2*A = h(b_1 + b_2)[/tex]

[tex]2A = h(b_1 + b_2)[/tex]

Divide through by h

[tex]\frac{2A}{h} = \frac{h(b_1 + b_2)}{h}[/tex]

[tex]\frac{2A}{h} = b_1 + b_2[/tex]

Subtract b1 from both sides

[tex]\frac{2A}{h} -b_1= -b_1 + b_1 + b_2[/tex]

[tex]\frac{2A}{h} -b_1= b_2[/tex]

[tex]b_2 = \frac{2A}{h} -b_1[/tex]

From the list of options, there is only one answer

Answer:

Equation to determine number of albums sold: 12a +200 = 644

Step-by-step explanation:

Given that:

Base rate earned by Floyd = $200

Amount for per album sold = $12

Let,

a be the number of albums sold by Floyd

Amount earned last month = $644

According to given statement;

Total earned = 12a + 200

12a +200 = 644

Hence,

Equation to determine number of albums sold: 12a +200 = 644

Answer:

The slope is 3!

Step-by-step explanation:

In the equation y=3x+2, whatever constant is with the variable "x" is the slope.

Hope this helps :)

Answer:

72.7 minutes

Step-by-step explanation:

From the above question, we can deduce that we are to find the time(t) of decay.

The formula used for this calculation is given as:

N(t) = No(1/2)^t/t½

N(t) = quantity of the substance remaining = 11 grams

No = initial quantity of the substance = 530 grams

t = time elapsed

t½ = half life of the substance = 13 minutes

Making t , the subject of the formula

t = t½ × In(N(t)/No)/-In2

t = 13 × In(11/530)/-In2

t = 72.675420100572minutes

Approximately 72.7 minutes

Answer:

-6/9 = -2/3 (C)

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

I'm not sure sorry..........

Answer:

2,3

Step-by-step explanation:

Answer:

(2,3) if the distance between each line is 1.

Step-by-step explanation:

Answer:

substituting  & graphing

Step-by-step explanation:

Answer:

between 81 and 96 inclusive

Step-by-step explanation:

well the average of 3 scores is

something / 3

so we have

[tex]85\leq \frac{83+91+x}{3}\leq 90[/tex]

now solving it

[tex]85(3)\leq 174+x\leq90(3)\\\\255\leq 174+x\leq 270\\\\81\leq x \leq 96[/tex]

Answer:

15/2 / 3/2= 15/2 * 2/3= 30/6= 5

5/1 * 3/2= 15/2= 6 3/2= 7 1/2

Step-by-step explanation:

Claire should have made the fractions into improper fraction so she could get the check part right.

Answer:

25

Step-by-step explanation:

Given the model:

y=−3.5x+400

Number of children in amusement park = y

Temperature = x

On a certain day:

Temperature = 90°F

Number of children in park = 60

Using the model :

The predicted number of children in park when temperature is 90°F would be :

y = - 3.5(90) + 400

y = - 315 + 400

y = 85

Model prediction = 85 children

Actual figure = 60

Residual :

|Actual - predicted | = |60 - 85| = 25 children

Answer: 14 -11x

You first distribute 5 through the parenthesi to get 4 + 10 - 15x + 4x. Then calculate like terms to get 14 - 11x

Answer:

A.) x=-3

B.) I have no clue I'm sorry I haven't learned anything over square method

Step-by-step explanation:

Answer:

Let P(–2, 5) and Q(–5, 9).

The component form of Vector P Q is  – 3, 4

The magnitude of Vector P Q is  5

To the nearest degree, the direction angle of Vector P Q is  127º

If Vector P Q is multiplied by the scalar –10, the new vector will be  in the opposite direction but longer than  the original vector.

Answer:

Step-by-step explanation:

Answer:

1. 60%

2a. (the diagram is attached)

b-i. 39

b-ii. 72

b-iii. I dont know...sorry :(

b-iv. 52

Step-by-step explanation:

1. U= 100%

Kano alone = 20-5= 15%

PH alone= 25-5= 20%

Kano n PH = 5%

None of the two= x

15+20+5+x= 100

40+x=100

X= 100-40

X= 60%

Answer:

2 cups of sugar

Step-by-step explanation:

Set up a proportion where x is the amount of sugar for 7.5 flour cups

[tex]\frac{3}{0.8}[/tex] = [tex]\frac{7.5}{x}[/tex]

Cross multiply and solve for x:

3x = 6

x = 2

So, you will need 2 cups of sugar

Answer:

I don't see the answer to the problem

Answer:

The domain D = {0, 1, 2, 3, 4, 5}

The range R = {3, 4}

Step-by-step explanation:

Given the ordered pairs or points on the graph

{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.

Thus,

The domain D = {0, 1, 2, 3, 4, 5}

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.

Thus,

The range R = {3, 4}

Note: Please note that the duplicated elements in the range are written only once.

Answer:

(-2,-10)

Step-by-step explanation:

So if y=5x and if y=9x+8 then those should be able to equal each other (substitution):

5x=9x+8

Subtract 5x from both sides:

0=4x+8

Subtract 8 from both sides:

-8=4x

Divide both sides by 4:

x=-2

If x=-2, then we can just plug it back into the first equation:

y=5(-2)

Simplify:

y=-10

Answer:

x = -2

y = -10

Step-by-step explanation:

So if y = 5x

Then you can put that in place of the y

5x = 9x + 8

Get the x's all on one side by subtracting

-4x = 8

Divide both sides by -4

x = -2

Then insert x into the first equation, so

y = 5(-2)

y = -10

Answer:

AC, AB. BC

Step-by-step explanation:

Answer:

[tex](x^2+7)(x^4-7x^2+49)[/tex]

Step-by-step explanation:

Factor x^6+343, and you will get the answer above. Hope this helps :)

Answer:

{Or, if you mean slope of 1/3:  y = ¹/₃x - 4 }

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = 13

(6, -2)    ⇒   x₀ = 6,  y₀ = -2

The point-slope form of the equation:

y + 2 = 13(x - 6)

So:

y + 2 = 13x - 78        {subtract 2 from both sides}

y = 13x - 80            ←  the slope-intercept form of the equation

{Or, if you mean slope of ¹/₃:  m = ¹/₃

The point-slope form of the equation: y + 2 = ¹/₃(x - 6)

y + 2 = ¹/₃x - 2         {subtract 2 from both sides}

y = ¹/₃x - 4             ←  the slope-intercept form of the equation}

Answer:

7241.25 mm squared

Step-by-step explanation:

The surface area of a cylinder is denoted by: , where r is the radius and h is the height.

Here, we know that the diameter is 39.2 mm, and since diameter is twice the radius, then r = d/2 = 39.2/2 = 19.6 mm. We also know that the height is 39.2 mm

using this formula for surface area of cyclinder: 2πrh+2π

diameter = 2r --> 39.2 = 2r

so r= 19.6

The answer is 7241.25 mm squared.

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