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Ket [755]
3 years ago
11

What is the Square root of -48 ?

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0
6.93 
pls mark brainliest


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Hello , how to do 6(iii)?
Doss [256]

Answer:

\displaystyle \frac{dS}{dt}=\frac{3}{50r}

Step-by-step explanation:

Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.

So, dV/dt = 0.03.

We want to show that dS/dt is directly proportional to 1/r.

In other words, we want to establish the relationship that dS/dt  = k(1/r), where k is some constant.

First, the volume of a sphere V is given by:

\displaystyle V=\frac{4}{3}\pi r^3

Therefore:

\displaystyle \frac{dV}{dt}=4\pi r^2\frac{dr}{dt}

Next, the surface area of a sphere S is given by:

\displaystyle S=4\pi r^2

Therefore:

\displaystyle \frac{dS}{dt}=8\pi r\frac{dr}{dt}

We can divide both sides by 2:

\displaystyle \frac{1}{2}\frac{dS}{dt}=4\pi r\frac{dr}{dt}

We can substitute this into dV/dt. Rewriting:

\displaystyle \frac{dV}{dt}=r\Big(4\pi r\frac{dr}{dt}\Big)

So:

\displaystyle \frac{dV}{dt}=\frac{1}{2}r\frac{dS}{dt}

Since dV/dt = 0.03 or 3/100:

\displaystyle \frac{3}{100}=\frac{1}{2}r\frac{dS}{dt}

Therefore:

\displaystyle \frac{dS}{dt}=\frac{3}{50r}=\frac{3}{50}\Big(\frac{1}{r}\Big)

Where k = 3/50.

And we have shown that dS/dt is directly proportional to 1/r.

4 0
3 years ago
I need help on these questions please help if you know
musickatia [10]
42, 63, 75 is the answer
add 63+75 and subtract that answer from 180. that ends up being 42 and then just put in order
6 0
3 years ago
Read 2 more answers
Put these numbers in order from least to greatest.
Harman [31]

Answer:

-12/30,   7/35,   3

Step-by-step explanation:

its the correct order

5 0
2 years ago
Read 2 more answers
Please help me its a math problem !! please see image
erma4kov [3.2K]

Answer:

<u>y ≤ 4</u>

Step-by-step explanation:

Solving :

  • Highest y-value is 4
  • The other y-values are less than 4
  • Hence, the range is : <u>y ≤ 4</u>
5 0
2 years ago
Mariel brought 48 brownies to school for a class party. The class ate 5/6 of the brownies, and Mariel brought the rest home. How
OverLord2011 [107]

Answer:

8 brownies

Step-by-step explanation:

Let's figure out how many brownies the class ate

Multiply 48* 5/6=40

Then, subtract how many the class ate from the total

48-40=8

So, he brought home 8 brownies

Hope this helped!

6 0
3 years ago
Read 2 more answers
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