Answer:
523.5miles
Step-by-step explanation:
Marcus traveled 65mph for 3.5hrs and 74mph for 4hrs. To find his total traveled distance we need to multiply the mph by the number of hours.
65x3.5=227.5mi
74x4=296mi
Add the number of miles together.
227.5+296=523.5miles
Hope this helps :)
By the use of the completing the square method, the maximum height is 3 ±√29/4 + 9 m.
<h3>What is the maximum height of the water?</h3>
The maximum height has been modeled by the use of the equation f(x)= -4x^2 +24x -29. Now we know that f(x)= h so we can write;
h = -4x^2 +24x -29
Now we have;
0 = -4x^2 +24x -29
-4x^2 +24x -29= 0
x^2 - 6x = -29/4
(x - 3)^2 = -29/4 + 3^2
(x - 3)^2 = -29/4 + 9
x = 3 ±√29/4 + 9 m
Learn more about completing the square:brainly.com/question/4822356
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C. 24
This is because 20 divided by 5 is 4. Next, you multiply 6 and 4 to get 24. 24 is the answer.
We're given
which immediately tells us that
In other words, swapping the limits of the integral negates its value.
Also,
The integral we want to compute is
which we can do by splitting up the integral at x = 4 and using the known values above. Then the integral we want is