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Firdavs [7]
3 years ago
15

A piston is seated at the top of a cylindrical chamber with radius 5 cm when it starts moving into the chamber at a constant spe

ed of 3 cm/s. What is the rate of change of the volume of the cylinder when the piston is 2 cm from the base of the chamber?
Mathematics
1 answer:
Tanzania [10]3 years ago
6 0
Rate is change is 1.2
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If c(x) = 4x – 2 and d(x) = x2 5x, what is (cd)(x)? 4x3 18x2 – 10x x2 9x – 2 16x2 4x – 6 4x2 20x – 2
Alisiya [41]
<span>
the main formula is </span>(cd)(x)=c(x).d(x) <span>
If c(x) = 4x – 2 and d(x) = x2 + 5x
so </span> (cd)(x) = (4x – 2)(x2 + <span>5x)=4x^3+20x²-2x²-10x=4x^3+18x²-10x
so the answer is A: </span><span>4x^3+18x²-10x</span><span>

</span>
4 0
3 years ago
Read 2 more answers
Use the following table for questions 11-13.A baseball manager believes a linear relationship exists between the number of Home
slamgirl [31]

The regression equation of Y on X is given by the following formula:

Y-\bar{Y}=b_{yx}(X-\bar{X})

Where byx is given by the formula:

b_{yx}=\frac{N\sum^{}_{}XY-\sum^{}_{}X\sum^{}_{}Y}{N\sum^{}_{}X^2-(\sum^{}_{}X)^2}

Where N is the number of values (N=8). We need to find the sum of X values, the sum of Y values, the average of X, the average of Y, the sum of X*Y and the sum of X^2.

The table of values is:

The values we need to know are on the following table:

By replacing the known values in the formula we obtain:

\begin{gathered} b_{yx}=\frac{8\cdot26125-167\cdot995}{8\cdot4649-(167)^2} \\ b_{yx}=\frac{209000-166165}{37192-27889} \\ b_{yx}=\frac{42835}{9303} \\ b_{yx}=4.6 \end{gathered}

Now, the average of X and Y is the sum divided by N, then:

\begin{gathered} \bar{X}=\frac{167}{8}=20.87 \\ \bar{Y}=\frac{995}{8}=124.37 \end{gathered}

Replace these values in the formula and find the regression equation as follows:

\begin{gathered} Y-124.37=4.6(X-20.87) \\ Y-124.37=4.6X-4.6\cdot20.87 \\ Y=4.6X-96.11+124.37 \\ Y=4.6X+28.26 \end{gathered}

The answer is a) y=4.6x+28.26

7 0
1 year ago
Please help! I’ll give brainliest
Vilka [71]

Answer:

Step 1: Simplify both sides of the equation.

−7f=12

Step 2: Divide both sides by -7.

−7f

−7

=

12

−7

f=

−12

7

Step-by-step explanation

sorry for the answer like this i couldnt find the fractions but the answer is f=-12/7 sorry :(

6 0
2 years ago
The square root of 129 is between what two integers
BigorU [14]
Hey there! :)

Your answer is: Between 11 and 12

11² = 11 × 11 = 121
12² = 12 × 12 = 144

129 is between 121 and 144

Hope this helps :)
6 0
2 years ago
Please Help!!<br> f(x) = square root of x plus 7 ; g(x) = 8x -11 <br> Find f(g(x))
Sonja [21]

I'm not sure if you mean ( \sqrt{x + 7} ) or ( \sqrt{x}  + 7 ) I solved it both ways .

f(x) =  \sqrt{x + 7}  \\  \\ f( \: g(x) \: ) =  \sqrt{(8x - 11)+ 7}  \\  =  \sqrt{8x - 11 + 7}  \\   =  \sqrt{8x - 4}  \\  = 2 \sqrt{2x - 1}

____o_____o______

f(x) =  \sqrt{x}  + 7 \\  \\ f( \: g(x) \: ) =  \sqrt{(8x - 11)}  + 7 \\  =  \sqrt{8x - 11}   + 7\\

I hope I helped you^_^

8 0
3 years ago
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