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3 years ago

Use a factor tree to find the prime factorizations of 96. Write the prime factorizations using exponents. 1.2^3•6^2. 2.2^5•4^2.3

. 2^5•3. 4.3•5^2

Mathematics

1 answer:

dezoksy [38]3 years ago

4 0

$Look\ at\ the\ picture:\\\\96=2\times2\times2\times2\times2\times3=\boxed{2^5\cdot3}\leftarrow\ answer\ \boxed{3.\ 2^5\cdot3}$

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The function d(t)=300,000t represents the distance (in kilometers) that light travels in t seconds.

Korolek [52]

Answer:

a. The light travels 4,500,000 kilometers in 15 seconds

b. It takes the light 40 seconds to travel 12 million kilometers

Step-by-step explanation:

- The function d(t) = 300,000 t represents the distance in kilometers

that light travel in t seconds

- We need to find how far the light travels in 15 seconds

∵ d(t) = 300,000 t

∵ t = 15 seconds

- Substitute the value of t in the function above

∴ d(t) = 300,000 (15)

∴ d(t) = 4,500,000 kilometers

The light travels 4,500,000 kilometers in 15 seconds

- We need to find how long does it takes the light to travel 12 million

kilometers

∵ d(t) = 12 million kilometers = 12,000,000 km

∵ d(t) = 300,000 t

- Substitute the value of d(t) in the function

∴ 12,000,000 = 300,000 t

- Divide both sides by 300,000

∴ t = 40 seconds

It takes the light 40 seconds to travel 12 million kilometers

3 0

3 years ago

What is the best result for h?

Kryger [21]

Answer: First option.

Step-by-step explanation:

To solve for "h" from the given the equation $S=2\pi rh+2\pi r^2$ , you need to:

Apply the Subtraction property of equality and subtract $2\pi r^2$ to both sides of the equation.

Then you need to apply the Division property of equality and divide both sides of the equation by $2\pi r$ .

Then:

$S-2\pi r^2=2\pi rh+2\pi r^2-2\pi r^2\\\\S-2\pi r^2=2\pi rh\\\\\frac{S}{2\pi r}-\frac{2\pi r^2}{2\pi r}=\frac{2\pi rh}{2\pi r}\\\\\frac{S}{2\pi r}-r=h$

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3 years ago

Read 2 more answers

If X=2 X3+X (that 3 is supposed to be representing that the X is cubed)

seropon [69]

X^3+x and x=2
=(2)^3+2
=8+2
=10

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4 years ago

Andrew uses 630 one-inch unit cubes to completely fill the inside of a rectangular box. Which could be the dimensions of the box

dsp73

we have 630 one-inch unit cubes and we want to completely fill the rectangular box (unknown dimensions).

If all the cubes are fitted tightly inside rectangular box without living any space, then box volume would be equal to cubes volume.

There are 630 one-inch unit cubes, so volume of cubes = 630 cubic inches.

Now the volume of rectangular box would also be 630 cubic inches.

We know the formula for volume of rectangular box = length × width × height.

So we need to find any three positive integers whose product is 630.

Out of all given choices, only option A satisfies the condition of factors of 630.

Hence, option A i.e. (7 in x 9 in x 10 in) is the final answer.

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3 years ago

ella has 53 to the third power pieces of candy and cristina has 67 to the third power pieces of candy how many pieces of candy d

saw5 [17]

449640 pieces of candy total. Wow, what a sweet treat

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