Answer:
-159
Step-by-step explanation:
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).
That is:
Seven million, two hundred and fifty eight thousand, six hundred and thirty.
Answer:
a = 12
Step-by-step explanation:
Formula for calculating the slope of a line is expressed as;
m = ∆y/∆x
m = y2-y1/x2-x1
Given
m = 1/2
x1 = a
y1 = 14
x2 = 8
y2 = a
Required.
Value of a
Substitute the given parameters into the formula
1/2 = a-14/8-a
Cross multiply
1(8-a) = 2(a-14)
8-a = 2a-28
Collect like terms
-a-2a = -28-8
-3a = -36
a = -36/-3
a = 12
Hence the value of a is 12
