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2 years ago

I need help on this. Please someone help. I would appreciate it!

Mathematics

2 answers:

Step2247 [10]2 years ago

6 0

Use the circular formula and divide the volume by 2

Step-by-step explanation:

Reptile [31]2 years ago

4 0

Answer:

12.56

Step-by-step explanation:

3.14(8)/2

=12.56

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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

2 years ago

At which one of the following times is the angle between the hands of a clock exactly one straight angle? a)12:00 b)12:30 b)3:45

Marta_Voda [28]

12:00 will have both hands pointing up
12:30 will have the straight line at the half past part but it will not be exactly on the 12
3:45 it will be past the 3 and exactly on 45 so it will not work
And 6:00 will be a straight line as one hand will be at the 12 and and it will be straight on the 6 as it is on the hour so the answer is d

6 0

2 years ago

Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill

ki77a [65]

Based in your question where as the oil is pumped continuously from the well at a rate proportional to the amount of the oil left in the well. so the answer of the following questions are:
A.1 is to 200,000
B.5 years

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2 years ago

PLEASE HELP ASAP!!<br> A<br> B<br> C<br> D

Virty [35]

Answer:

Step-by-step explanation:

5 0

2 years ago

Factor completely. ay^2 + 2ay - 3a

coldgirl [10]

Ay^2+2ay-3a
a(y^2+2y-3)
a(y-1)(y+3)

8 0

3 years ago