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Tom [10]
4 years ago
5

I need to factor each polynomial completely and show my work. 12-17 I need help solving these

Mathematics
1 answer:
Vinvika [58]4 years ago
7 0
The answer to the questions

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a conical tank with vertex down is 10 feet across the top and 12 feet deep. If water is flowing out of the tank at a rate of 12
TiliK225 [7]

Answer:

The water level is dropping at a rate of 0.24 ft/s

Step-by-step explanation:

Here, we simply want to calculate the change in depth (height of the cone) , given the volume change

Mathematically, we have the volume of a cone as;

V = 1/3 * π * r^2 * h

we are given dv/dt as 12 ft^3/m

dv/dh = 1/3 * π * r^2

Substituting the value for the radius, we have

dv/dh = 1/3 * 22/7 * 4^2 = 50.29

dh/dt = dh/dv * dv/dt

dh/dv = 1/(dv/dh) = 1/50.29

Thus,

dh/dt = 1/50.29 * 12

dh/dt = 0.24 ft/s

3 0
3 years ago
PLEASE HELP!!! Find the equation , in the standard form of the line passing through the points (3,-4) and (5,1)
ExtremeBDS [4]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 3 &,& -4~) 
%  (c,d)
&&(~ 5 &,& 1~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-4)}{5-3}\implies \cfrac{1+4}{5-3}\implies \cfrac{5}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{5}{2}(x-3)\implies y+4=\cfrac{5}{2}x-\cfrac{15}{2}

\bf y=\cfrac{5}{2}x-\cfrac{15}{2}-4\implies y=\cfrac{5}{2}x-\cfrac{23}{2}\impliedby 
\begin{array}{llll}
\textit{now let's multiply both}\\
\textit{sides by }\stackrel{LCD}{2}
\end{array}
\\\\\\
2(y)=2\left( \cfrac{5}{2}x-\cfrac{23}{2} \right)\implies 2y=5x-23\implies \stackrel{standard~form}{-5x+2y=-23}
\\\\\\
\textit{and if we multiply both sides by -1}\qquad 5x-2y=23

side note:  multiplying by the LCD of both sides is just to get rid of the denominators
5 0
3 years ago
write a word problem that can be solved by ordering three decimals to thousandths. include a solution
geniusboy [140]
Mary, Anne, and Rose decided to race their three pet snails, Anthony, James, and Thomas to see which was fastest. Anthony finished in 23.38 minutes. James finished in 23.65 minutes. Thomas finished in 23.13 minutes. Order the finish times from least amount of time to greatest to see which snail was the winner of this very intense and serious race.
23.12, 23.38, 23.65
5 0
3 years ago
Question in the picture. PLS HELP!! THANKS + 30 POINTS + BRAINLIEST
Andrej [43]

Answer:

C.  Lincoln Forest is at sea level

Step-by-step explanation:

Elevation above sea level is indicated for several points in the table

Positive number indicates points <u>above</u>, negative number indicates points <u>below</u>, zero elevation indicated points <u>at </u>sea level

So, the answer for Lincoln Forest is:

  • C.  Lincoln Forest is at sea level
4 0
3 years ago
2x - 2y = 6 3x + 2y = 9 Solve the system of equations. A) x = 0, y = 3 B) x = 3, y = 0 C) x = 1, y = -2 D) x = -2, y = 1 E) x =
son4ous [18]
<h2>Answer:</h2>

There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.

2x - 2y = 6\\3x + 2y = 9\\\\5x = 15\\\\x = 3\\

Now we will solve for y using what we got for x.

2(3) - 2y = 6\\\\6 - 2y = 6\\\\-2y = 0\\\\y = 0

Solution:

A: (0, 3)

3 0
3 years ago
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