Prism A is a dilation of Prism B. The height of Prism A is 612 ft, and the volume of Prism A is 8734 ft³. The height of Prism B is 314 ft.

What is the volume of Prism B?

Enter your answer as a mixed number in simplest form by filling in the boxes.

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ft

Answer:

variation?

Step-by-step explanation:

Answer: 909.03

Step-by-step explanation:

We know that the equation is an exponential function, it can be written as y=ab^x

[tex]100 &=a b^{6.5} \dots \mathrm{Equation \ 1} \\11 &= a b^{1} \\[/tex]

[tex]\Rightarrow ab^1=11[/tex]

[tex]\Rightarrow \frac{ab^1}{b}=\frac{11}{b};\quad \:b\ne \:0[/tex]

[tex]\Rightarrow a=\frac{11}{b}[/tex]

a = 11/b, substitute it in equation 1

[tex]100 &=a b^{6.5}[/tex]

[tex]\Rightarrow 100=\left(\frac{11}{b}\right)b^{6.5}[/tex]

[tex]\Rightarrow 100b=11b^\frac{11}{2}[/tex]

[tex]\Rightarrow 11\sqrt{b^{11} } =100b[/tex]

[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]

[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]

[tex]\Rightarrow {b^{11} } =\frac{10000}{121}}[/tex]

[tex]\Rightarrow {b} =\frac{\sqrt[11]{10000 \cdot 11^9} }{11}[/tex]

[tex]\Rightarrow {b} = 1.49379[/tex]

a = 11/b

a = 11/(1.49379)

a = 7.36382

Equation: y = (7.36382)(1.49379)^x

Now plug in 12 for x:
[tex]\Rightarrow { \left(7.36382\right)\left(1.49379\right)^{12}[/tex]

[tex]\Rightarrow 7.36382\cdot \:1.49379^{12}[/tex]

[tex]\Rightarrow 7.36382\cdot \:123.44530\dots[/tex]

[tex]\Rightarrow 909.03[/tex]

Therefore, f(12) = 909.03 for the exponential function

Answer:

13

Step-by-step explanation:

the absolute value is the opposite of its number, for example 6, the opposite of 6 is -6

hope this helps :)

and if it's wrong i am so sorry:(

Answer:

The absolute value of -13 is 13

Step-by-step explanation:

The absolute value of a number is how far it is from 0.

Positive 13 is 13 away from zero, but so is -13

Hope that helps!

Answer:

Yes

Step-by-step explanation:

10.25 oz x 7 days = 71.75 oz

7.5 oz x 7 days = 52.5 oz

71.75 oz + 52.5 oz = 124.25 oz

124.25 oz < 126 oz

Answer:

yes

Step-by-step explanation:

10.25x7 =71.75

7.5x7=52.5

52.5+71.75=124.25

Answer:

540 cm²

Step-by-step explanation:

Area of the figure

Area of 4 figures

Answer:

[tex]2^9[/tex]

Step-by-step explanation:

Since there are nine 2s being multiplied by each other, we can represent this as [tex]2^9[/tex].

Answer:

2^9

Step-by-step explanation:

there are 9 2's and since it has to be in exponential form its 2^9

Answer: 50

    By utilizing our knowledge of the PEMDAS solving method, negative powers, and fraction-style equations, this problem can be solved with a simple step-by-step procedure

Set up equation                                                            6 / [3 * 5^(-2)]

Rewrite power                                                              6 / [3 * (5 * 5)]

Simplify power                                                              6 / [3 * (25)]

Invert power                                                                  6(25) / 3

Set up equation                                                            6(25) / 3

Simplify                                                                          150 / 3

Simplify (using common denominator)                        50 / 1

Rewrite in simplest form                                               =50

Answer: 50

Answer:

B

Step-by-step explanation:

175+(-16) is the same as 175-16, because you can carry the negative. 175-16=159, which is B.

Answer:

A.

Step-by-step explanation:

A fence is needed for the circular field.

Circumference is basically perimeter but for circles.

Knowing this information, we can use the formula for circumference.

C = [tex]\pi[/tex]d

C = (3.14)(50)

C = 157

hope it helps :)

Answer:

42

Step-by-step explanation: the reason the answer is 42 because somewhere in the lesson it will show and I did my research on this so it is 42

Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

105 cookies

Step-by-step explanation:

We can model Karen's cookie situation like so:

#TotalCookies = #RecentlyBought + #AlreadyHad

We know that Karen already had 9 cookies in a jar, so it now looks like.

#TotalCookies = #RecentlyBought + 9

The number she recently bought, involves multiplication. So she bought 6 bags of 16 cookies. That's 6 x 16 = 60 + 36 = 96

#TotalCookies = 96 + 9 = 105 cookies

Karen loves cookies!

Answer:

105 cookies

Step-by-step explanation:

Given:-

To find:-

Solution:-

total no. of cookies :- new cookies + old cookies

= 6×16+9

105 cookies

Answer:

3 = (50.000%)

4 = (66.667%)

Step-by-step explanation:

3 out of 6 = 3/6

4 out of 6 = 4/6

3/6 in decimal form is 0.5

4/6 in decimal form is 0.6666 (the six repeats forever)

0.5 out of 1 is 50%

0.6666 (the six repeats forever) out of 1 is about 66.667%

0.5 = (50.000%)

0.66667 (rounded) = (66.667%)

Answer:

C

Step-by-step explanation:

Answer:        

8 ounces of 20%12 ounces of 70%

Step-by-step explanation:

Let 'x' be the number of ounces of 20% solution'y' be for the 70%

solutionSince the the mix is 50% of 20 ounces then:x + y = 200.20x +

0.70y = 0.50(20)From the 1st equation solve for xx = 20 - ySubstitute it to

the 2nd equation0.2(20-y) + 0.7y = 104 - 0.2y + 0.7y = 100.5y = 10-40.5y =

6y = 12Substitute to x = 20 - yx = 20 - 12x = 8

Answer:I think it isa 90 degrees clockwise rotation, because theformula for it is (x,y) to (y,-x)

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Since gravity falls at a rate of 16 feet per second, t= number of seconds.

if t=2 seconds, you would have the equation 16*2 = fall amount

16*2 =32. Since it is less than 60 feet, the backpack won't hit the ground in 2 seconds

Answer:

7 in thick

Step-by-step explanation:

There are two of the 2 1/4 books; and one of the 2 1/2 in. thick book.

2 1/4 + 2 1 /4 = 4 1/2 + 2 1 /2 = 7 in. thick

Answer:

1. -4
2. -3.5

3. 6.5

4. -2

Step-by-step explanation:

LESS and MORE are the clues

Answer:

120 cubes are required.........

Answer:

120 1/3 cubes

Step-by-step explanation:

you have 5 thirds so 5 and 4 thirds so 4 and 2 wholes which is 6 thirds so you would multilpy them and the equation would be 5x4x6 and that equals 120.

Answer:

Option C) Angle 6 and 7 only

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180 degrees.

So here the angle supplementary to Angle 5 would be 6, since adding both would get us 180 degrees. Then there's angle 7 which would also give us 180 degrees when added to angle 5.

Answer:

2⋅2⋅2=8 possible combinations in total.

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

For these types of counting problems, just multiply all of the levels.

For example, this would be

4 choices

5 choices

4 choices

Multiply 4*5*4, and you get 80.

Total number of ways of combining one level from each of the growth factors is equals to 80.

" As per fundamental principle of counting if first event has 'm' number of possible outcomes , second has 'n' number of possible outcomes then total number of ways are m× n ."

According to the question,

Number of growth factors =3

First growth factor: Lightening

Second growth factor: Age

Third growth factor : Temperature

As per the data given we have,

Number of levels in lightening 'm'= 4

Number of levels in age 'n'= 5

Number of levels in temperature 'p' =4

Substitute the value as per the definition of fundamental principle of counting

Total number of ways = m × n × p

                                     = 4 × 5 × 4

                                     = 80 ways

Hence, total number of ways of combining one level from each of the growth factors is equals to 80ways.

Learn more about fundamental principle of counting here

https://brainly.com/question/23905307

#SPJ2

Answer:

1/36

Step-by-step explanation:

Meal: 4 choices

Side: 3 choices

Beverage: 3 choices

Total number of possible combinations: 4 × 3 × 3 = 36

The specific combination of cheese pizza, apple, and milk is 1 of the 36 possible choices.

p(cheese pizza, apple, milk) = 1/36

Answer:

e

Step-by-step explanation:

We first have to find out how many outcomes there are in total. That means finding out how many meals, sides, and beverages there are.

Meals: cheese pizza, cheeseburger, hotdog, and salad (4)

Sides: banana, apple, and yogurt (3)

Beverages: milk, water, and juice (3)

4 x 3 x 3 = 36

There are 36 possible outcomes.

We need to find the probability that Zoe will choose cheese pizza, an apple, and milk. Those are three outcomes.

The probability is 3/36.

The fraction 3/36 can be simplified to 1/12.

uh looking at the other answer that one is probs right

either way, hope this helps?

Answer:

Pink: 48 units sq

Blue: 42 units sq

Step-by-step explanation:

Area of a trapezoid: A=(h)(a+b)/2. To see where h, a, and b are located, see the reference image below. Always remember that a is the shorter end and b is the longer end. Since each grid mark goes by 2, we can use the graph to find the missing variables.

PINK trapezoid:

BLUE trapezoid:

Hope this helps!