h(t)=(t+3) 2 +5 h, left parenthesis, t, right parenthesis, equals, left parenthesis, t, plus, 3, right parenthesis, squared, plu
lesya692 [45]
Answer:
1
Step-by-step explanation:
If I understand the question right, G(t) = -((t-1)^2) + 5 and we want to solve for the average rate of change over the interval −4 ≤ t ≤ 5.
A function for the rate of change of G(t) is given by G'(t).
G'(t) = d/dt(-((t-1)^2) + 5). We solve this by using the chain rule.
d/dt(-((t-1)^2) + 5) = d/dt(-((t-1)^2)) + d/dt(5) = -2(t-1)*d/dt(t-`1) + 0 = (-2t + 2)*1 = -2t + 2
G'(t) = -2t + 2
This is a linear equation, and the average value of a linear equation f(x) over a range can be found by (f(min) + f(max))/2.
So the average value of G'(t) over −4 ≤ t ≤ 5 is given by ((-2(-4) + 2) + (-2(5) + 2))/2 = ((8 + 2) + (-10 + 2))/2 = (10 - 8)/2 = 2/2 = 1
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Answer:
C. 
Step-by-step explanation:
To find the number of black ribbons one would have subtract the amount of red ribbons from the total number of ribbons. Then one would have to express it as a proportion. Part over whole equals percent over 100. The number of black ribbons over total ribbons equals "b" over 100.
Answer:
A
Step-by-step explanation:
the formula of the slope is (y2 - y1)/(x2 - x1)
slope = (3-2)/(-1-2) = 1/(-3) = -1/3
Answer:
The model car is 10 inches long
Step-by-step explanation:
To solve this question, we use conversion of units
Feet to inches.
Each feet has 12 inches.
The car is 15ft long.
So the car has 15*12 = 180 inches.
.5 inches = 9 in.
Rule of three
.5 inches - 9 inches
x inches - 180 inches
The model car is 10 inches long
Answer:
A.)D23
Step-by-step explanation:
