With some simple rearrangement, we can rewrite the numerator as
Then factorizing the difference of squares, 
, we end up with
The volume of a sphere, V = (4/3)(PI)(R^3)
Let k = (4/3)(PI)
Therefore, V = k (R^3)
Let R’ = new radius = 2R
V’ =k (R’^3)
= k (2R)^3
= 8 k R^3
= 8 V
The volume would be eight time the original volume.
Do you need help with all of these?
Answer:
- 8° per hour
Step-by-step explanation:
Given that:
Station A = - 6°
Station B = 2°
Rate of temperature change = x° / hour ; which is the same at both stations
Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;
Temperature change in Station A:
-6 + 3x
Temperature change in station B:
2 + 4x
Temperature change in A = temperature change in B
-6 + 3x = 2 + 4x
Collect like terms
3x - 4x = 2 + 6
- x = 8
x = - 8
Hence, the rate of temperature change x in both stations is - 8° per hour
Answer:
9 Quarters, 3 dimes
Step-by-step explanation:
$2.00 = 8 quarters
25cents = 1 quarter
$2 + 25 cents = $2.25
2.55 - 2.25 = .30
30cents = 3 dimes.
Hope this is right.
There were many ways to do this. But this is 1 way.
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