MooMooooMooM

well i think the answer is C bc u normally learn about positive exponents and then u learn about 0 and the negatives. But they should both be true.

a) 5^x*2^x=10^x

so 5^-997*2&-997=10^-997

10^-997*10^999=10^2 or 100

Extra 5: 100/5=20

b) 12^10= 2^20*3^10

6^-8= 2^-8*3^-8

2^20*2^-8=2^12=4096

3^10*3^-8=3^2 OR 9

4096*9=36864

There are 5 digits

 c)

-2, -1, 0, 1, 2, 3

25, 50, 100, 200, 400, 800

sum is 1575

This is a similar question : https://web2.0calc.com/questions/a-right-triangle-has-legs-of-length-10-and-b-and

First, find the slope:

1--5/8--3=6/11.

Then we find the y-intercept:

So for every 11 spaces we go to the right, we go up 6 spaces.

To get an x value of zero, we want to go 3 spaces to the right and we go up 3/11*6 or 18/11 spaces up. 

-5+18/11 is - 3 4/11.

So our equation now is y=6/11x-37/11

Multiply both sides by 11 to get

11y=6x-37

Add 37 and subtract 11y from each side to get

37=6x-11.

37+6-11 is 32.

If Chevys sale fell by 50%, 2*.5 is 1 for a ratio of 3:1.

to get a ratio of 5:1, 2800 must equal two parts for any car sale.

So 1400 is one part, and we see the ratio is 7000;1400

Checking our work

  4200:  2800

+2800 -1400

7000:1400

Tesla sold 7000 Evs in feb 2018.

I got 

(4,22)

(22,4)

(10,20)

(20,10)

36=2^2*3^2 or 2*2*3*3

Only one possibility because no number can equal one to make others larger

a=2 b=2 c=3 d=3

10-10:59 - 1 hour

11-11:59 - 1 hour

12 - 1 minute

2hrs 1 minute = 121 minutes

121 minutes*60 seconds per minute = 7260 seconds

7260 * (6/20) = 2178 drips

450/250=1.8 

1.8 as a percent is 180%

2520

\(10!/5!3!2!\)