Please help! Need the answers to be able to move on. 1.) 26 times 26^8
2.) (-5)^5/(-5)^-6
3.) 8^15 divided by 8^-3
4.) Which expressions are equivalent to 1? Select all that apply.
~-(5/8)^0
~-(-3141)^0
~1291^0
~0^1
~(1/3)^0
~(-0.0008)^0

see below

Step-by-step explanation:

1.) 26 times 26^8 = 26^1 * 26^8 = 26^(1+8) = 26^9

2.) (-5)^5/(-5)^-6 = (-5)^(5 - -6) = (-5)^(5+6) = (-5)^11

3.) 8^15 divided by 8^-3 = 8^(15 - -3) = 8^(15+3) = 8^18

4.) Which expressions are equivalent to 1? Select all that apply.

~-(5/8)^0   - (1)  no

~-(-3141)^0  - (1) no

~1291^0  1  yes

~0^1  yes

~(1/3)^0  yes

~(-0.0008)^0  yes

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm