Answer:
-17 ft/s
Step-by-step explanation:
The average rate of change is the difference in height on the interval, divided by the difference in time.
m = (h(4.5) -h(2))/(4.5 -2) . . . . . . . . definition of rate of change on [2, 4.5]
h(4.5) = (-16·4.5 +87)(4.5) = 67.5
h(2) = (-16·2 +87)(2) = 110
Then ...
m = (67.5 -110)/(2.5) = -17
The average rate of change on the interval from 2 to 4.5 seconds is -17 ft/s.
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<em>Check</em>
The slope of the curve is given by its derivative:
h'(t) = -32t +87
The midpoint of the interval is (2+4.5)/2 = 3.25.
The slope at the midpoint is ...
h'(3.25) = -32(3.25) +87 = -17 . . . . average rate of change on [2, 4.5]
For a quadratic function. the average rate of change on an interval is the slope of the function at the midpoint of the interval. This calculation confirms that.
One angle in every right triangle is 90, so the other two sum to 180-90=90. Therefore, other angles must be less than 90 degrees, so a is the only possible option.
I believe 158.199 rounded to the nearest houndretges would be 158.2
Answer:
37.5
Step-by-step explanation:
KM^2=LM*MJ(consequence from the similarity of KLM and JLK )
=>36=LM*8
LM=36/8=4.5
=>S=6/2*(8+4.5)=3*12.5=37.5
A. Asking athletes at a gym what their favorite television show is