We are trying to isolate 
. Subtract 
from both sides. 
Find the square root of both sides. 
<em>Note: I've attached a graph of 
.</em>
Answer:
f'(t) = -15 tons/second
Step-by-step explanation:
Using the power rule, the derivative of f(t) is ...
f'(t) = -15 . . . tons/second
f(t) is the fuel weight, so f'(t) is the rate at which fuel weight is changing. The rocket is using fuel at the rate of 15 tons per second.
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<em>Comment on units</em>
The units of the equation for f(t) are ...
f(t) = 2520 tons - (15 tons/second)(t seconds)
The derivative is the coefficient of (t seconds), so is (-15 tons/second).
Answer:
If (K + 1)^2 = 2n + (n^2)/2, then the answer is Yes, else No.
Step-by-step explanation:
Sum of first K + 1 odd numbers (S): 1 + 3 + 5 + ... + (2K - 3) + (2K - 1) + (2K + 1).
(1 + 3 + 5 + ... + (2K - 3) + (2K - 1) + (2K + 1)) + ((2K + 1) + (2K - 1) + (2K - 3) + ... + 5 + 3 + 1 ) = (2K + 2) + (2K + 2) + (2K + 2) + ... + (2K + 2) + (2K + 2) + (2K + 2) (repeat K + 1 times) = (2K + 2)(K + 1) = 2S
2S = (2K + 2)(K + 1)
S = (2K + 2)(K + 1)/2
S = (2K^2 + 4K + 2)/2
S = K^2 + 2K + 1
S = (K + 1)^2
(4n + n^2)/2 = 2n + (n^2)/2
D, the answer is the same but in the parenthesis is reversed using the addiction something property
Answer:
17/18
Step-by-step explanation:
2 1/9=19/9
19/9-7/6
17/18
