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Lapatulllka [165]
3 years ago
12

How do I set up my equation?

Mathematics
2 answers:
Vaselesa [24]3 years ago
4 0
I think it will be set up as 2000(.051)^3
OverLord2011 [107]3 years ago
3 0
2000 times 5.1 times 3
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The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 100 mm?
Advocard [28]

Answer:

Volume increasing rate = 62831.85 mm^3/s

Explanation:

We rate of change of radius of sphere, \frac{dr}{dt} =2mm/s

Diameter of sphere = 100 mm

Radius of sphere = 50 mm

Volume of sphere, V = \frac{4}{3} \pi r^3

Rate of change of volume = \frac{dV}{dt}

\frac{dV}{dt}=\frac{d}{dt} (\frac{4}{3} \pi r^3)=\frac{4}{3} \pi\frac{d}{dt}(r^3)=\frac{4}{3} \pi*3r^2*\frac{dr}{dt}

Substituting known values

     \frac{dV}{dt}= \frac{4}{3}* \pi*3*50^2*2=62831.85 mm^3/s

Volume increasing rate = 62831.85 mm^3/s

8 0
3 years ago
URGENT DUE SOON!! IF ANYONE COULD PLEASE ANSWER THE QUESTIONS ON MY PROFILE THAT WOULD BE AMAZING!!!
astraxan [27]

Answer:

ok sure

Step-by-step explanation:

8 0
2 years ago
What is the equation of the line that passes through the point (5, -6) and has a<br> slope of 3/5
Marysya12 [62]

Answer:

y = 3/5x + -9

or y = 3/5x - 9

Step-by-step explanation:

Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b

Here is what this equation stands for:

y = the y in the order pair you are given, in this case it would be -6

m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5

x = the x in the ordered pair you are given, in this case it would be 5

b = This is the y-intercept, you will mostly be solving for this most of the time

(5,-6)

(x, y)

y = mx+b (Use this Formula)

-6 = 3/5(5) +b (The numbers have been substituted within the formula)

-6 = 3+b (simplify the equation by multiplying the slope by the x)

-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")

-9 = b (solve)

y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)

I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!

8 0
3 years ago
Can someone help me with this problem
chubhunter [2.5K]

n = 13\frac{1}{3}

This is found by dividing 32 by 2.4

4 0
3 years ago
Read 2 more answers
En las olimpiadas matemáticas,la hora de inicio del evento se expresa en una ecuación simple: 2x+6=x+17 ¿A qué hora empezó el ev
Sergio [31]

Answer:

11 minutos.

Step-by-step explanation:

En las Olimpiadas de Matemáticas, la hora de inicio del evento se expresa en una ecuación simple: 2x + 6 = x + 17 ¿A qué hora comenzó el evento?

La hora en que comienza el evento en los juegos olímpicos se representa como x

Por tanto: 2x + 6 = x + 17

Recopilar términos similares

2x - x = 17 - 6

x = 11 minutos

Por lo tanto, los eventos comienzan en 11 minutos.

7 0
3 years ago
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