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:
Perimeter: 52 Area: 181-16i?
Step-by-step explanation:
<u>Perimeter</u>
The formula for perimeter is 2l+2w, so you plug in the binomials they give you:
2(11-4i)+2(15+4i)
expand:
22-8i+30+8i
combine like terms (which cancels out 8i and -8i):
22+30=52
<u>Area</u>
"i" is not a real number and thus should not be part of the area here, meaning this answer as it is is wrong and I don't know how one would change that.
Here's what I did to get 181-16i, in any case:
The formula for area is l*w, so I plugged in the numbers:
(11-4i)(15+4i)
expanded:
165+44i-60i-16i*i
and combined like terms:
181-16i
*i is
, so
=-1 and -1*-16=16.
Answer:
2/6<2/4
Step-by-step explanation:
We can start by simplifying the two fractions. 2/6=1/3 and 2/4=1/2. 1/3<1/2 so 2/6 is smaller than 2/4.
Step-by-step explanation:
y-x=4
There could be two possibilities,
1) y = 4+x
2) y-4 = x