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Sauron [17]
3 years ago
7

Quick calculus question work doesn't have to be shown

Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0
\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\implies V=\cfrac{4\pi }{3}r^3
\\\\\\
\cfrac{dV}{dt}=\cfrac{4\pi }{3}\cdot \stackrel{chain~rule}{3r^2\cdot \cfrac{dr}{dt}}\quad 
\begin{cases}
\frac{dr}{dt}=50\\
r=6
\end{cases}\implies \cfrac{dV}{dt}=\cfrac{4\pi }{3}\cdot 3(6)^2\cdot 50\\\\\\ \cfrac{dV}{dt}=\stackrel{\frac{cm^3}{s}}{7200\pi}
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Write the equation in standard form of the line that
aleksklad [387]

Answer:

x+2y=0

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-4)

y+2=-1/2x+4/2

y+2=-1/2x+2

y-(-1/2x)=2-2

y+1/2x=0

1/2x+y=0

2(1/2x+y)=2(0)

x+2y=0

6 0
3 years ago
Find the volume of a cylinder made by rotating a rectangle with a width of 2.5 feet and a length of 8 feet as shown in the figur
asambeis [7]

<span>the question does not present the picture, but this does not interfere with the resolution</span>

we know that
When a rectangle with a width of 2.5 feet and a length of 8 feet rotates it makes a cylinder with a radius r = 2.5 ft and a height h = 8 ft

volume of a cylinder=pi*r²*h-----> pi*2.5²*8----> 157 ft³

the answer is
157 ft³
7 0
2 years ago
Terry placed 6 numbers tiles labeled 4,7,10,11,14,21 in a box he will pick one of the number tiles from the box without looking
melisa1 [442]
Out of the 6 numbers, 3 of them are even: 4, 10, and 14. The probability that he will pick an even number is therefore 3/6 = 1/2 = .5
7 0
3 years ago
Use the slope formula to find the slope of the line through the points (−3,−6) and (0,3).
liubo4ka [24]
Slope= y/x so first let’s find the difference in the y coordinates. -6 and 3. -6 + 9= 3
So far we have 9/x, now on to the x coordinates. -3 and 0, -3 + 3 = 0
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now simplify and the slope is 3
4 0
2 years ago
CAN ANYBODY PLS HELP
Firdavs [7]

The correct options are

5x =  - 58 \:5x + 4 =  - 54

<h3>How to find same value of x?</h3>

given that

\frac{5}{6} x +  \frac{2}{3}  =  - 9

first find value of x to obtain the equations have the same value of x.

Find the L.C.M between the 6,3

\frac{5x + 4}{6}  =  - 9

Then Cross multiplication should be done

5x + 4 =  - 9 \times 6 \\ 5x + 4 =  - 54 \\ 5x =  - 54 - 4

5x =  - 58

Hence the correct options are

5x =  - 58

5x + 4 =  - 54

Learn more about problems on equations, refer:

https://brainly.in/question/742266

#SPJ9

7 0
1 year ago
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