Answer:
c
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
(6³ * 3³)² = 18⁶
Multiply inside the parenthesis.
(18³)² = 18⁶
When you put powers to powers, they multiply, eg:
(x³)⁴ = x³°⁴ = x¹²
18⁶ = 18⁶
True.
1km = 1000m
1hr = 3600sec
Do proportions:
1km / 1000m = 15km / x
15000m = x
1hr = 3600sec
15000/3600 = 4.2m per second
Choice 4
Answer:
Either (approximately ) or (approximately .)
Step-by-step explanation:
Let denote the first term of this geometric series, and let denote the common ratio of this geometric series.
The first five terms of this series would be:
First equation:
.
Second equation:
.
Rewrite and simplify the first equation.
.
Therefore, the first equation becomes:
..
Similarly, rewrite and simplify the second equation:
.
Therefore, the second equation becomes:
.
Take the quotient between these two equations:
.
Simplify and solve for :
.
.
Either or .
Assume that . Substitute back to either of the two original equations to show that .
Calculate the sum of the first five terms:
.
Similarly, assume that . Substitute back to either of the two original equations to show that .
Calculate the sum of the first five terms:
.
Answer:
(1,4)
Step-by-step explanation:
(x,y)→(1,4)