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3 years ago

Describe why the prime factorization of a number is sometimes written with exponents?

1 answer:

6 0

Say you wanted to write the prime factorization of 8.
Its prime factorization <em>can</em> be written as 2 × 2 × 2, but it would be much easier to just write it as 2³ (2 times itself 3 times)

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If 24= 2f+3f+f, find f

VashaNatasha [74]

Answer:

6f = 24

f = 4

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The house Trevor's family lives in has 6 66 people (including Trevor) and 3 33 bathrooms. In the past month, each person showere

yKpoI14uk [10]

Answer:

The amount Trevor's family pay per minute on shower water is $0.005.

Step-by-step explanation:

The cost of water is,

Cost = $0.20/liter

Amount of water used over the entire month:

Amount of water used = 72 liters

Compute the total water cost as follows:

Total water cost = Amount of water used × Cost

= 72 × 0.20

= $14.4/liter

The average number of minutes each person showered is:

Average number of minutes = 480 minutes.

The number of people in Trevor's house:

N = 6

Compute the total amount of time the 6 person showered as follows:

Total amount of time = Average number of minutes × N

= 480 × 6

= 2880 minutes

Compute the pay per minute on shower water as follows:

Pay per minute on water = Total water cost ÷ Total amount of time

= $14.4 ÷ 2880

= $0.005

Thus, the amount Trevor's family pay per minute on shower water is $0.005.

4 0

4 years ago

2=(-3)+5x<br> Solve for x

slega [8]

Answer: x=1

Step-by-step explanation: I don't know how to explain it.

5 0

3 years ago

Read 2 more answers

A group of friends was working on a student film. They spent $330 on costumes, which was 55% of their total budget. What was the

wariber [46]

Answer:

$600

Step-by-step explanation:

Let "x" represent their total budget for the film.

Amount spent on costumes = $330

Percent spent on costumes = 55%

Therefore:

55% of x = $330

55/100 × x = 330

55x/100 = 330

Cross multiply

55x = 100 × 330

55x = 33,000

Divide both sides by 55

x = 33,000/55

x = 600

Total budget = x = $600

7 0

3 years ago

What are the X and Y intercepts of y= -2(x-4)2 +3

kari74 [83]

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

$y = -2(x-4)^2+3$

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, $-2(x-4)^2 + 3 = 0$

$-2(x^2+16+8x) + 3 = 0$

$-2x^2-32-16x + 3 = 0$

$-2x^2-16x -29 = 0$

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)

4 0

4 years ago