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gayaneshka [121]
3 years ago
12

If , n^-3 = 1/8 then n would be which of the following? -1/2 -2 2 1/2

Mathematics
2 answers:
lions [1.4K]3 years ago
4 0

Answer:

2

Step-by-step explanation:

{n}^{ - 3}  =  \frac{1}{8}  \\  \\  {n}^{ - 3}  =  \frac{1}{ {2}^{3} }  \\  \\  {n}^{ - 3}  = {2}^{ - 3}.. (\because \frac{1}{a^n} = a^{-n}) \\  \\ n = 2 \\(\because exponents \: are \: same\: hence\: \\bases\: will \: also\: be\: equal)

Lady_Fox [76]3 years ago
3 0

Answer:

n = 2

Step-by-step explanation:

n^{-3} = \frac{1}{8}\\\\        = \frac{1}{2^{3}}\\\\      = 2^{-3}\\

Therefore, n= 2

A number or variable with negative exponent is represented by positive exponent  by taking its reciprocal and vice versa

a^{-n} = \frac{1}{a^{n}}

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Number 3
sdas [7]

Answer: Choice A) 1990 to 1991

=============================================

Explanation:

Let's go through the answer choices one by one.

For choice A, we go from the year 1990 to 1991 which is a change of 1 year. The wage goes from 3.80 to 4.25 over this timespan, which is an increase of 4.25-3.80 = 0.45 dollars. Divide the change in wage (0.45 dollars) over the change in change in time (1 year) to get 0.45/1 = 0.45; this indicates that the wage increased by 0.45 dollars per year over the timespan 1990 to 1991

Now onto choice B. We have a wage increase of 3.80-3.35 = 0.45 over a course of 9 years (since 1990-1981 = 9) so 0.45/9 = 0.05 is the rate of wage growth, meaning that the wage bumps up by a nickel each year. So far choice A is the winner.

Moving onto choice C, we have a wage increase of 0.25 dollars (3.35-3.10 = 0.25) over an 1 year period (1981-1980 = 1) so the rate of change for this slice of time is 0.25/1 = 0.25 dollars per year. Choice A is still the winner.

Finally, for choice D, this is over a year as well (1980-1979 = 1) and the wage increases by 0.20 dollars (3.10-2.90 = 0.20) leading to a rate of change to be 0.20/1 = 0.20

So choice A has the largest rate of change which is the same as saying it has the largest rate of wage increase. This shows why choice A is the answer.

3 0
3 years ago
Please help me I don't know
Aleksandr [31]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
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Ms. Nickel wants to divide her class of 23 students into 4 equal teams . Is this reasonable ?
algol [13]
No, 23 can't be divided four times. 
23/4=5.75

4 0
3 years ago
Read 2 more answers
-28-(-16)= What is the answer
Finger [1]

Answer:

-12

Step-by-step explanation:

<u>Step 1:  Find the answer </u>

Subtracting a negative number is same as adding a positive number

-28 - (-16)

-28 + 16

-12

Answer:  -12

3 0
3 years ago
Which of the following Functions is NOT Linear? A:f(x)=x+0.5 B:F(x)=-x+0.5 C: F(x)=x^2-0.5 D: f(x)=0.5x
Citrus2011 [14]

Answer:

C: F(x)=x^2-0.5

Step-by-step explanation:

When the x is squared it's a parabola. A linear graph is shaped like a straight line, while a parabola is curved inward. I have included a graph of what that function would look like (tap/click on it to see the full graph.)

6 0
3 years ago
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