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Deffense [45]
3 years ago
14

The water level in Noah's water tank is 72 inches high. Noah begins to drain a water tank by opening a valve. The water drains a

t a speed up 5 inches per minute.
Mathematics
1 answer:
stepan [7]3 years ago
3 0
So, Noah would most likely have - wait hold up what's the main question?is it how much Noah has? if it is I will be able to solve it. Or is it how much water will fill it or something?
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The rate of U.S. per capita sales of bottled water for the period 2007–2014 could be approximated by s(t) = 0.25t2 ? t + 29 gall
julsineya [31]

Answer:

117 gallons

Step-by-step explanation:

The expression that describes the rate of U.S. per capita sales of bottled water for the period 2007–2014 is:

s(t) = 0.25t^2-t+29

Since t=0 at 2007. At 2009 and 2013, t is:

t_1=2009-2007 = 2\\t_2=2013-2007 = 6

The definite integral of the expression from t=2 to t=6 is:

s(t) = 0.25t^2-t+29\\\int\limits^6_2 {s(t)} \, dt= \int\limits^6_2 {(0.25t^2-t+29)} \, dt\\\int\limits^6_2 {s(t)} \,dt= (\frac{t^3}{12} -\frac{t^2}{2}+29t +c)|^6_2 \\S(6) -S(2) = (\frac{6^3}{12} -\frac{6^2}{2}+29*6 +c) - (\frac{2^3}{12} -\frac{2^2}{2}+29*2 +c)\\S(6) -S(2) = 117.333\ gallons

Rounded to the nearest gallon, the estimated total U.S. per capita sales of bottled water from the start of 2009 to the start of 2013 is 117 gallons.

6 0
3 years ago
Find the equation of a line parallel to the line x=-10 and contains the point (-4,4)
earnstyle [38]

Hello!

The line x = -10, is an example of an undefined line. It does not pass the vertical line test and each element of the domain is not paired with a unique (one and only one) element of the range. Remember that no two ordered pairs in a function have the same first element.

To find the line parallel to the line given line, we need to use the x-value in the given ordered pair, which will create the parallel line.

Therefore, the line parallel to the line x = -10 is x = -4.

6 0
3 years ago
Using the Pythagorean Theorem on a Isosceles Right Triangle
Dmitry [639]

Answer:

6 square root 2

Step-by-step explanation:

its the only thing i can think of it to be

8 0
3 years ago
Read 2 more answers
Phương pháp đã được sử dụng để đánh giá lợi ích và chi phí không có giá trên thị trường :
Ivan

Answer:

I am not totally sure what you are asking but airports use agreements with airline companies to fly there planes at that airport. The airport gives a contract and the airline company can use the airfields and housing sheds.

Step-by-step explanation:

4 0
3 years ago
Evaluate 15cos60<br> Options are <br> A) -0.5<br> B)7.5<br> C)-14.5
USPshnik [31]

\cos60^o=\dfrac{1}{2}\\\\\text{Therefore}\\\\15\cos60^o=15\cdot\dfrac{1}{2}=7.5\\\\Answer:\ \boxed{B)\ 7.5}

6 0
4 years ago
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