Hallie made 12 quarts of homemade yogurt. She put the yogurt in 34-cup containers. How many containers did Hallie fill?

Given:

The function is

[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]

To find:

The inverse function [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]

Step 1: Putting f(x)=y, we get

[tex]y=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]

Step 2: Interchange x and y.

[tex]x=\dfrac{8\sqrt[3]{y}-8}{9}[/tex]

Step 3: Isolate variable y.

[tex]9x=8\sqrt[3]{y}-8[/tex]

[tex]9x+8=8\sqrt[3]{y}[/tex]

[tex]\dfrac{9x+8}{8}=\sqrt[3]{y}[/tex]

Taking cube on both sides, we get

[tex]\left(\dfrac{9x+8}{8}\right)^3=y[/tex]

[tex]y=\left(\dfrac{9x+8}{8}\right)^3[/tex]

Step 4: Putting [tex]y=f^{-1}(x)[/tex], we get

[tex]f^{-1}(x)=\left(\dfrac{9x+8}{8}\right)^3[/tex]

Therefore, the correct option is C.

Answer:

X=-2

Step-by-step explanation:

Beacuse I got it right

Answer: Adrian will need to fix 25 bikes to reach a break even point.

The number of bicycles does have to sell to reach the "break-even" point'' will be 24.

In economics, business, and particularly cost accounting, the break-even point is the point at which total cost and total income are equal, or "even." No net gain or loss has occurred, and one has "broken even,".

Given that Aidan buys used bicycles, fixes them up, and sells them. His average cost to buy and fix each bicycle is $27. He also incurred a one-time cost of $960 to purchase tools and a small shed to use as his workshop. He sells bikes for $67 each.

The number of bicycles will be calculated as:-

27 = ( 67n - 960 ) / n

27n = 67n - 960

40n = 960

n = 960 / 40

n = 24

Therefore, the number of bicycles does have to sell to reach the "break-even" point'' will be 24.

To know more about the break-even point follow

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Answer:

(-2,-3)

Step-by-step explanation:

A=(8,-5)

M=(3,-4)

The difference between them is that m is 5 to the left and 1 up. We need to do the same thing to find B.

B=(-2,-3)

Answer:

the answer is 112 mate hope u got ur answer

Answer:

[tex]\Huge\boxed {A =859ft^{2} }[/tex]

Step-by-step explanation:

Hello There!

To solve for the area of this figure we need to split the figure into 3 different parts:

A rectangle with a length of 9 ft and a width of 7 ft

a rectangle with a width of 9ft + 7ft and a length of 25 ft

a rectangle with a width of 18 ft and a length of 22 ft

To find the area of a rectangle we use the formula

[tex]A=w*l[/tex] where w = width and l = length

for the first one we plug in the values

A = 9 * 7

9 * 7 = 63 so the area of the smallest rectangle  is 63ft²

Now lets find the area of the larger rectangle

The dimensions are l = 25 ft and w = 9 + 7 (16 ft)

Now we can plug in the values into the area formula

A = 16 * 25

16*25=400 so the area of the larger rectangle is 400 ft²

Now lets find the area of the last rectangle

The dimensions are l = 22 ft and w = 18 ft

now lets plug in the values to the formula

A = 22 * 18 =396

so the area of the last rectangle is 396 ft²

Finally we want to add all of the areas together

396 + 400 + 63 = 859

So the area of the figure is 859 ft²

9514 1404 393

Answer:

  135°

Step-by-step explanation:

In order to answer the question, we must assume that the black lines are parallel to each other.

The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.

  ∠2 +∠8 = 180°

  15x +5x = 180°

  x = 180°/20 = 9°

  ∠2 = 15x = 15(9°) = 135°

Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.

  ∠3 = 135°

Answer:

top=3, middle=2, bottom= 1

Step-by-step explanation:

Answer:

133

Step-by-step explanation:

2(_9)^2=162

3(-9)=-27

2(-9)^2 +3(-9)-2= 162-27-2=133

Answer:

x+12y=40

Step-by-step explanation:

the question itself says by adding

Answer:

n=42, m=42[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 · [tex]\sqrt{3}[/tex], which is the same as 42√3.

Answer:

The slope between two points. The rate at which the dependent variable changes with the independent variable. Yes between episode 5 and episode 6

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

I used a caculator...

Give Brillianst Please!!!

Answer:

3x +7x +11=10x+11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Group like terms:

=3x+7x+11

Add similar elements: 3x+7x=10x

=10x+11

Answer:

angle MAT=48

Step-by-step explanation:

angle H = 44

angle M = 88

angle A = 48

Answer:

Step-by-step explanation:

Point of intersections of the graph with x-axis are not clear.

Let these points are x = -a, -b and c

Therefore, function representing the graph will be,

f(x) = p(x + a)(x + b)(x - c)

Since, this graph crosses y-axis at (0, -6),

f(0) = p(0 + a)(0 + b)(0 - c) = -6

-pabc = -6

p = [tex]\frac{6}{abc}[/tex]

Therefore, equation of the given function will be,

f(x) = [tex]\frac{6}{abc}(x+a)(x+b)(x-c)[/tex]

Question:-

Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.

_______________________________________________

Solution:-

In an equilateral triangle all sides are equal.

Let s = side length = 9 cm

Then, area of equilateral triangle is given as:

A = (√3/4)s²

Putting the value of s here,

A = (√3/4) * (9 cm)²

=> A = (√3/4) * 81 cm²

=> A = √3 * 20.25 cm²

We know that, √3 = 1.732

=> A = 1.732 * 20.25 cm²

=> A = 35.073 cm²

Rounding to one decimal place,

=> A = 35.1 cm²

_______________________________________________

The answer is 35.1 cm².

Hope this helps; have a great day!

Answer:

-4

Step-by-step explanation:

bc the equation is y=mx+b and m is y/x so -4

Answer:

5) x = 0.75

6) x = 12

Step-by-step explanation:

5)

Use geometric mean of altitude

[tex]12 = \sqrt{x^2 * 16^2} \\12^2 = x^2 * 16^2\\144 = 256x^2\\x = 0.75[/tex]

6)

Use geometric mean of legs

[tex]60^2 = \sqrt{(36+x)^2+36^2} \\3600 = (36+x)^2 + 36^2\\x=12[/tex]

Answer:

377 parents

Step-by-step explanation:

We start by writing an exponential equation

FV = PV(1 - r)^t

FV is future value = ?

PV is present value = 440

r is rate = 5/100 = 0.05

t = 3

Substituting these values

FV = 440(1 - 0.05)^3

FV = 377.245

This is approximately 377

Answer:

N o

Step-by-step explanation:

Answer:

slope=-3

y-intercept=(0, 3)

Answer:

Step-by-step explanation:

(5p)(7q)=35pq

Answer:

The product of five t imes p and 7 times q is just:

5p(7q), which is 42pq

Let me know if this helps!

Answer:

The answer is -2

Step-by-step explanation:

First we divide 12 by 6.

12/6 = 2

Next we subtract 3 by 4.

3 - 4 = -1

Now we solve.

-1 * 2 = -2

So, the answer is -2.

Hope this helps! :)

Answer:

3

Step-by-step explanation:

Do 12/6 first and you get 2 and then you do 3-4 and you get 1

Answer:

[tex]g^{6}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

g³ × g³ = [tex]g^{(3+3)}[/tex] = [tex]g^{6}[/tex]

Answer:

35000×10.2%=3570 Interest will be paid

35000+3570=38570 full amount will be paid in the bank

Answer:

9 - 15/2

10 - 9

11 - 16/3

12 - 5/6

Step-by-step explanation: