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3 years ago

Write the prime factorization of each number using exponents: 56 = ? 68 = ?

1 answer:

6 0

Make a factoring tree: 56 is 7 x 8. You can break 8 down into three 2s, therefore, 8 is equal to 2^3. 7 is already prime, so the answer is 2^3 x 7.
Same thing for 68: factored = 2 x 34 = 2 x 2 x 17
2^2 x 17 is the answer.

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PLEASE HELP IM CRYING RN PLEASE ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST AND 100 POINTS

Vlad [161]

Answer: B (x,y) --> (x + 4, y - 2)

Step-by-step explanation: When you add -5+4=-1, and when you subtract 2 from 4 it equals to 2, which gives you the second coordinates, this means that x+4 and y-2 is the answer.

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3 years ago

Ql. What is the slope-intercept equation of the line y-intercept=(0,1), slope =3/4

Vanyuwa [196]

Answer:

y = 3/4x + 1

Step-by-step explanation:

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2 years ago

What is .16 repeating as a simplified fraction?

Readme [11.4K]

I'm assuming this is 0.1666666...

Which in that case is 1/6.

(Just from memory)

To do 0.161616161616...

First, assign 0.161616... a variable, say it's x.

Now say 100x, what is it.

16.1616161616...

Now subtract x from 100x.

16.161616161616... - 0.16161616...

Or, 99x

99x = 16 in this case right now

Divide both sides by 99

x = 16/99

So it really depends what's repeating, it's either 1/6 or 16/99.

8 0

2 years ago

Automobile mechanics conduct diagnostic tests on 150 new cars of a particular make and model to determine the extent to which th

Aleks04 [339]

Answer:

99% Confidence interval: (0.185,0.375)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 150

Number of cars that have faulty catalytic converters, x = 42

$\hat{p} = \dfrac{x}{n} = \dfrac{42}{150} = 0.28$

99% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58$

Putting the values, we get:

$0.28\pm 2.58(\sqrt{\frac{0.28(1-0.28)}{150}}) = 0.28\pm 0.095\\\\=(0.185,0.375)$

The 99% confidence interval for the true proportion of new cars with faulty catalytic converters is (0.185,0.375)

8 0

3 years ago

Phillip bought 12 used CDs and DVDs. CDs cost $2 each, and DVDs cost $3 each. He spent $31, not including tax. How many DVDs did

Ghella [55]

So he bought 12 CDs and DVDs (in total), CDs + DVDs = 12

Each cd is 2 and each cd is 3

Total spent = 31 (2*x + 3*y)

I call x cds and y dvds

x+y = 12

2x+3y = 31

Solve for y

Move x to the right with changed sign

y = 12-x (DVDs, you can also write x = 12-y)

And substitute 12-y in the equation

2x + 3(12-x) = 31

2x + 36 - 3x = 31

2x - 3x = 31 - 36

-x = -5

x = 5 (CDs)

To find DVDs let's rewrite y = 12-x

y = 12-5 = 7 (DVDs)

6 0

2 years ago

Read 2 more answers