Answer:
5 x^2 y^ (-3) z = ?
Step-by-step explanation:
We know the volume of a rectangular prism is given by
V = l*w*h
V = 2x^2 * y^-2 * ?
We are given the volume
V =10x^4 y^-5 z
Set the two equal
10x^4 y^-5 z = 2x^2 * y^-2 * ?
Divide each side by 2x^2 y^-2
10x^4 y^-5 z /2x^2 y^-2 = 2x^2 * y^-2 * ?/2x^2 * y^-2
10x^4 y^-5 z/ 2x^2 y^-2 = ?
Simplifying
10/2 * x^4/x^2 y^-5/ y^-2 z = ?
We know that a^b/ a^c = a^(b-c)
5 x^ (4-2) y^(-5 - -2) z = ?
5 x^2 y^ (-5 +2) z = ?
5 x^2 y^ (-3) z = ?
(4*3)+-4=8, this is just how to put it in the equation
The answer is 14 m
<span>In
a 30°-60°-90° triangle, the hypotenuse (c) is twice the length of the shorter
leg (a) which is the opposite to the 30 angle:
</span>
c = 2a
We have c = 28 m
So: 28 = 2a
a = 28 / 2
a = 14 m
Answer:
The number of subscription will be 26,655 in 2022.
Step-by-step explanation:
In 2005, the number subscription is 110,000 and it is decreased at a rate 8% per year.
After 1 year number of subscription is 110,000- 8% of 110,00
=110,000(1-8%)
After 2 years number of subscription is 110,000(1-8%) -8% of 110,000(1-8%)
=110,000(1-8%)(1-8%)
=110,000(1-8%)²
After 2 years number of subscription is 110,000(1-8%)² -8% of 110,000(1-8%)²
=110,000(1-8%)²(1-8%)
=110,000(1-8%)³
....
and so on.
After t year the number of subscription is

t= 2022-2005=17 years

≈26,655
The number of subscription will be 26,655 in 2022.