Answer:
1. z^2
2. 14z
Step-by-step explanation:
- We know that (a^m)^n = a^(mn) = (a^n) ^m
We also know that (a^m)(a^n) = a^(m+n)
- 36 can be written as 6^2 and here 36^(500) can be written as (6^2)^500 which also can be written as (6^500)^2 and as already it is mentioned that 6^500 as z we can write the above as <u>z^2</u>
2. 8 x 6^500 = 8z
And we can also write 6^(501) as 6^(500+1) which is equivalent to 6(6^500) which is 6z.
From the above we can make sure that the question is the sum of the above which is 8z + 6z = <u>14z</u><u>.</u>
4.5 or 1637.272 Because you have to multiply the feet and the radius to get cubic feet and the width
Answer:
x = 5 and -2
Step-by-step explanation:
Given the function of x to be;
f(x) = (x-5)(x+2)/x+1
The value of x that will make the function zero can be calculated for by equating the given function to zero first to have;
If f(x) = 0, then;
(x-5)(x+2)/x+1 = 0
Cross multiplying;
(x-5)(x+2) = 0
(x-5) = 0 and x+2 = 0
x = 5 and x = -2
The value of x that will make the function zero is therefore 5 and -2
A line adds up to equal 180 degrees. And adjacent angles also add to equal 180 since they share a side on a line. So add them together and make them equal 180
9x - 7 + 8.5x + 4 = 180
17.5x - 3 = 180
17.5x = 183
x = 10.5