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kifflom [539]
3 years ago
15

When I checked my bank account this morning I had $4,300. This is a relief

Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0
2000/4300 multiplied by a 100
=46.5%
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1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa
Firdavs [7]

Answer:

0.0239\frac{in^{3}}{min}

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

r'=\frac{1/1000in}{3min}

which yields:

r'=\frac{1}{3000}\frac{in}{min}

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

V=\pi r^{2}h

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

V=\pi r^{2}(6)

or

V=6 \pi r^{2}

We can now take the derivative to this formula so we get:

\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}

Which simplifies to:

\frac{dV}{dt}=12\pi r \frac{dr}{dt}

We can now substitute the data provided by the problem to get:

\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})

which yields:

\frac{dV}{dt}=0.0239\frac{in^{3}}{min}

3 0
3 years ago
PLEASE HELP Which of the following statements correctly describes the counting principle?
mixer [17]

Answer:

The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.

Step-by-step explanation:

So the first one.

3 0
2 years ago
Read 2 more answers
What is the largest angle of WXY?
marin [14]

Answer:

This is because the longest side in triangle WXY is side XY (15 units), therefore making the largest angle in that triangle, angle XWY, or angle W.

Step-by-step explanation:

4 0
2 years ago
Tim has some video games. Mark has twice as
BabaBlast [244]

7 or more games

2x = 20+

so if he had 7 games, mark would have double (14 games)z 14+7=21. that's more that 20 games.

*Aggressively drops microphone*

4 0
2 years ago
100 ^2 x 26 / 100 + 145^5 =
Ymorist [56]
The answer is 64,097,343,225 
3 0
3 years ago
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