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Agata [3.3K]
3 years ago
12

When evaluating, what will be the exponent of 10 in the quotient? 3 4 8 16

Mathematics
2 answers:
maxonik [38]3 years ago
7 0

For this case we have the following division:

\frac{6.28 * 10 ^ {12}}{3.14 * 10 ^ 4}

Rewriting the product we have:

(\frac{6.28}{3.14}) (\frac{10^{12}}{10^4})

By definition we have to:

In the divison, if we have the same base we subtract the exponents.

We have then:

(2) (10 ^ {(12-4)})\\(2) (10 ^ 8)

Answer:

The exponent of 10 in the division will be:

8

qaws [65]3 years ago
3 0
In this case it would be 8
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Translate each English phrase in the following problem into an algebraic expression and set up the related equation. Let z be th
Ede4ka [16]

The English phrase of the obtained equation is 12 times z subtracted by 3. The obtained equation after solving is 12z -23

<h3>What exactly is simplification?</h3>

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

Given data;

z be the unknown number

Given conditions;

1. The difference between a number and −23.

2.−23 is equal to the product of the number and 13.

The mathematical form of the given phrase is;

⇒ z - (-23) = z × 13

⇒z+23 = 13z

⇒12z -23

The English phrase of the obtained equation is 12 times z subtracted by 3.

Hence the simplification of the given expressions is 12z -23.

To learn more about the simplification, refer to:

brainly.com/question/23509407

#SPJ1

6 0
2 years ago
At Appalachian State University it is known that 52% of undergraduates are female. If a sample of 150 undergraduate students was
In-s [12.5K]

Answer:

a. The sampling distribution will be approximately normal.

d. The mean of the sampling distribution will be close to 52%

g. The standard deviation of the sampling distribution will be 0.0408

Step-by-step explanation:

For this problem the sample size is large enough (n>30), and then the sampling distribution \hat p would be approximately normal. The mean of the sampling distributions is given by p=0.52

The expected value for the sampling distribution would be 0.52 since E(\hat p) = p

And for the standard deviation we know that is given by:

Sd= \sqrt{\frac{p (1-p)}{n}}=\sqrt{\frac{0.52(1-0.52)}{150}}=0.0408

So the correct answers on this case are:

a. The sampling distribution will be approximately normal.

d. The mean of the sampling distribution will be close to 52%

g. The standard deviation of the sampling distribution will be 0.0408

3 0
3 years ago
What is the answer to this question 2+2=4-1=?
Aleonysh [2.5K]

2 + 2 = 4 - 1
4=3
8 0
3 years ago
Easy but need help :(((
adelina 88 [10]
A function cannot be a function if any x is repeating. The x in A has the number 1 repeating. The x is C has 2 repeating the x in D has 1 repeating.
Therefore, our answer would be (B)
7 0
3 years ago
Read 2 more answers
A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut from the four corners and the
ziro4ka [17]

Answer:

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

Step-by-step explanation:

Let

x ----> the original length pf the piece of metal

y ----> the original width pf the piece of metal

we know that

x=y+15 ----> equation A

The volume of the box is equal to

V=LWH

we have

V=1,350\ in^3

L=(x-3-3)=(x-6)\ in\\W=(y-3-3)=(y-6)\ in

H=3\ in

substitute in the formula of volume

1,350=(x-6)(y-6)(3) ----> equation B

substitute equation A in equation B

1,350=(y+15-6)(y-6)(3)

solve for y

450=(y+9)(y-6)

y^2-6y+9y-54=450\\y^2+3y-504=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=21

Find the value of x

x=21+15=36

therefore

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

5 0
3 years ago
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