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3 years ago

PLEASE HELP Solve. m^-5 = 1/32 m = ________ ?

1 answer:

3 0

$a^{-n}=\frac{1}{a^n}\\\\m^{-5}=\frac{1}{32}\iff m^5=\frac{1}{\frac{1}{32}}\to m^5=32\iff m=\sqrt[5]{32}\to m=2\\\\because\ 2^5=32\\\\Answer:\boxed{m=2}$

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Write the sentence as an absolute value inequality, then solve the inequality: A number “n” is more than 9 units from 3

Helga [31]

Answer:

absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12

Step-by-step explanation:

I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)

So an absolute value inequality must be written like this:

| x - a | *inequality* b

a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.

Now, you will have this:

|x - 3| *inequality* 9

Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).

So now we're at:

|x - 3| > 9

To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:

x<-6 and x>12

Hope this is helpful!

6 0

3 years ago

The cars are waiting in line for gas Nini is 9th front the front of the line and 20 from the back how many cars are on line for

vovangra [49]

28 cars are on the line for gas.

5 0

3 years ago

PLEASE HELP! A campground rents bicycles by the hour. The total cost y to rent a bicycle, including deposit, is presented by the

Lelu [443]

The domain and the range of the function are all possible values of the x and y, respectively, that function can take.
The range is given by:

$y_{o}= \frac{3}{3} +12 \\ y_{o}=12 \\ \\ y_{e}= \frac{27}{3} +12 \\ y_{e}=21 \\ \\ \boxed {Im=(y\in R \mid 12\leq y \leq 21)}$

The domain is given by:

$\boxed {D=(x\in R \mid 3\leq y \leq 27)}$

4 0

2 years ago

a car travels 10 miles in 15 minutes, how many miles will the car travel in 60 minutes at this rate? how many miles will it trav

nlexa [21]

Answer:60/15=4

So 10 miles in 15 min = 40 in 60 min or 30 in 45.

Step-by-step explanation:

3 0

3 years ago

On his way to a local Hunting and Gathering Convention, Caveperson Stony Grok picks up a rock, drops it into a lake and watches

olganol [36]

Answer:

I guess that "Ura nok seblu" means that all rocks sink in water.

Step-by-step explanation:

A conjecture is an idea, opinion, theory or hypothesis, that is based on partial or incomplete information or evidence. Conjectures are generally speculations since there is not enough proof or evidence to support them.

Even though Stony's theory didn't have a lot of evidence to support it, he was almost right. Most rocks sink in water, I guess that the only rock that doesn't is pumice. I might be wrong, but I don't know of any other rock that floats.

4 0

2 years ago