Simplify ∛g^6h^30 a: g^3h^10 b: g^2h^10 c: 2gh^5
1 answer:
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Answer:
Step-by-step explanation:
<u>Question 1</u>
Given:
To evaluate , replace 75 with (5 × 5 × 3):
Substitute the given values to solve:
<u>Question 2</u>
Given:
To evaluate ln(20) replace 20 with (4 × 5):
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Substitute the given values to solve:
Given:
h(t) = 25 - a·t²
h(0.5) = 21
Find:
t such that h(t) = 0
Solution:
h(0.5) = 25 - a·0.5² = 21
25 - 21 = a/4
4·4 = a = 16
Then
h(t) = 25 - 16t²
We want h(t) = 0, so
0 = 25 - 16t²
16t² = 25
t² = 25/16 = (5/4)²
t = 5/4 = 1.25
It takes 1.25 seconds for the entire 25 ft drop.
h(t) = 25 - a·t²
h(0.5) = 21
Find:
t such that h(t) = 0
Solution:
h(0.5) = 25 - a·0.5² = 21
25 - 21 = a/4
4·4 = a = 16
Then
h(t) = 25 - 16t²
We want h(t) = 0, so
0 = 25 - 16t²
16t² = 25
t² = 25/16 = (5/4)²
t = 5/4 = 1.25
It takes 1.25 seconds for the entire 25 ft drop.