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3 years ago

Complete a prime factorization of 54 and write it as a product of primes

2 answers:

7 0

So to solve this you can break it down like this: 54 = 2 times 27. Two is a prime number so leave that alone. Next, 27 is 3 times 9. Three is a prime so leave that alone. Then 9 = 3 times 3. And both threes are prime. So take all the prime numbers, and there you have it! 3 times 3 times 3 times 2. Or 3 to the 3rd power times 2. Hope I helped.

kumpel [21]3 years ago

5 0

54
2 * 27
2 * 3 * 9
2 * 3 * 3 * 3 or 2 * 3^3 <==

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MAVERICK [17]

if your question is 3/5*7/9...

Step-by-step explanation:

3/5*7/9

3*7/5*9

21/ 45 / 7/15

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6 0

3 years ago

Can anyone simplify this? 4x - 3(x - 2y) + 1/2(6x - 8y)

GaryK [48]

$4x - 3(x - 2y) + 1/2(6x - 8y) \\ 4x - 3(x - 2y) + 0.5(6x - 8y) \\ 4x - 3x + 6y + 3x - 4y \\ 4x + 2y$
Answer is 4x+2y

5 0

3 years ago

In a survey of 1,532 former UF students, 84% said they were still in love with Tim Tebow. The survey's sampling error was 2%. Us

nalin [4]

Answer:

confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.

(0.79 , 0.89)

Step-by-step explanation:

step 1:-

Given sample survey former UF students n = 1532

84% said they were still in love with Tim Tebow

p = 0.84

The survey sampling error

$= \sqrt{\frac{p(1-p)}{n} }$

Given standard error of proportion = 2% =0.02

Step 2:-

The 99% of z- interval is 2.57

The 99% of confidence intervals are

p ± zₐ S.E (since sampling error of proportion = $\sqrt{\frac{pq}{n} }$

$(0.84 - 2.57X0.02 , 0.84 + 2.57X0.02)$

on simplification , we get

(0.84 - 0.0514 , 0.84 + 0.0514)

(0.79 , 0.89)

conclusion:-

confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.

(0.79 , 0.89)

4 0

3 years ago

Yis inversely proportional to the square of x.

PtichkaEL [24]

Answer:

(a) $y = \frac{4}{x^2}$

(b) $x = \frac{2}{5}$

Step-by-step explanation:

Given

Variation: Inverse proportional.

This is represented as:

$y\ \alpha\ \frac{1}{x^2}$

See attachment for table

Solving (a):

First convert variation to equation

$y = k\frac{1}{x^2}$

From the table:

$(x,y) = (1,4)$

So, we have:

$4 = k * \frac{1}{1^2}$

$4 = k * \frac{1}{1}$

$4 = k * 1$

$4 = k$

$k = 4$

Substitute 4 for k in $y = k\frac{1}{x^2}$

$y = 4 * \frac{1}{x^2}$

$y = \frac{4}{x^2}$

Solving (b): x when y = 25.

Substitute 25 for y in $y = \frac{4}{x^2}$

$25 = \frac{4}{x^2}$

Cross Multiply

$25 * x^2 = 4$

Divide through by 25

$x^2 = \frac{4}{25}$

Take positive square roots of both sides

$x = \sqrt{\frac{4}{25}$

$x = \frac{2}{5}$

4 0

3 years ago

ryan is going to make a sculpture from a rectangular block of clay. the volume of the block is (x+8)(x-3)(2x-5). A)the volume is

Anna11 [10]

The answer will be a because you’ll multiply what’s in parentheses and then combine like terms

6 0

3 years ago