Answer:
12 months
Step-by-step explanation:
Theres an awful amount of needless information to get through.
Only the last paragrph is needed.
C(t) = 180 + 10t
C(t) = 25t
Set the equations equal
25t = 180 + 10t
Subtract 10t from both sides
15t = 180
Divide both sides by 15
t = 12
ANSWER
450lb
EXPLANATION
If the weight, m of an object on the moon varies directly as the weight of an object e, on the earth, then we can write the mathematical statement,.
We introduce the constant of proportionality to obtain,
When, m=95, e=570,
This implies that,
The equation now becomes,
We want to find e, when m=2700,
Answer:
a
Step-by-step explanation:
Given
3(x + 3)² - 81 = 0 ( add 81 to both sides )
3(x + 3)² = 81 ( divide both sides by 3 )
(x + 3)² = 27 ( take the square root of both sides )
x + 3 = ± = ± 3 ( subtract 3 from both sides )
x = - 3 ± 3
x = - 3 - 3 or x = - 3 + 3 → a
The compound inequality for real numbers between -8 and 3 is -8
Long leg = 8 → opposite
short leg = 6 → adjacent
hypotenuse = ?
8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c
sin ∠BOC = opposite / hypotenuse
sin ∠BOC = 8 / 10
sin ∠BOC = 0.80
tan ∠BOC = opposite / adjacent
tan ∠BOC = 8 / 6
tan ∠BOC = 1.33