Water coming out from a fountain is modeled by the function f(x) = −x2 + 8x + 2 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds.What does the average rate of change of f(x) from x = 1 to x = 4 represent?

Answers

Answer 1
Answer: Average rate of change of f(x) from x = 1 to x = 4 represents the average speed with which the water is falling between the first second and the fourth second.

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Evaluate the integral: \[\int\limits_{}^{}ye ^{0.2y}dy\]
The problem we are having is the antiderivative of
\[e ^{0.2y}.\] We decided to split the problem into:
u = y
\[uv = e^{0.2y}\]
We just aren't sure where to go from here. Help?

Answers

\int\limits_{}^{}ye ^(0.2y)dy\n\nu=y,du=dy\ndv=e ^{(y)/(5)}dy,v=\int\limits_{}^{}e ^{ (y)/(5) }dy=5e ^{ (y)/(5) }\n\n \int\limits_{}^{}ye ^{(y)/(5) }}dy=uv- \int\limits {v} \, du=y 5e ^{ (y)/(5) }-\int\limits {5e ^{ (y)/(5) }} \, dy= 5ye ^{ (y)/(5) }-25e ^{ (y)/(5) }=5e ^{ (y)/(5) }(y-5)

A video game sells at Arnolds for $14.99. Arnolds marks the game up at 40% of the selling price. The cost of the video game to Arnold is:

Answers

what you do is take 14.99 x 0.40 and that should give you your answer 

PLEASE HELP ASAPP!! ALGEBRA

Answers

Answer:

x > -10

Step-by-step explanation:

10 - 6x < 70

-6x < 70 - 10

-6x < 60

-6/-6 x > 60/-6

x > - 10

Peyton has nn nickels and dd dimes. She has no less than 21 coins altogether. Write this situation as an inequality.

Answers

Answer:

N+D _>21

Step-by-step explanation:

N= The number of nickel

D= The number of dimes

So it is n+d less than with the line under it 21

Answer:

n+d _>18

Step-by-step explanation:

Bob drove 59 miles per hour for 4 hours. How far did Bob drive?

Answers

59 x 4 = 236 is ur answer and equation

Answer:

236 miles.

Explanation:

59 miles * 4 hours = 236 miles

Compute the odds in favor of rolling a sum of 10 in a single roll of two fair dice

Answers

There are 6 possibilities for the outcome of one cube.  For each of those . . .
There are 6 possibilities for the outcome of the other cube.

Total possibilities for the roll of 2 cubes = (6 x 6) = 36 outcomes.

Ways to roll a sum of 10:
4 . . . 6
5 . . . 5
6 . . . 4
Three possibilities.

Probability of rolling a 10 = 3/36 = 1/12 = 8 and 1/3 percent 

Odds in favor of success = 1 in 12 , or    1 to 11 . (11 to 1 odds of failing.)