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Akimi4 [234]
2 years ago
5

I'll literally give anyone brainliest if you answer this!!

Mathematics
1 answer:
Drupady [299]2 years ago
3 0

Answer:

-15 and 0

Step-by-step explanation:

-15 + 15= 0

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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
Which function is shown in the graph below?
Paha777 [63]
It is the second function:
y=(1/2)^(x-3)
When x=0, the exponent is -3.  (1/2)^-3 is 8.
y = 8+1 = 9


5 0
2 years ago
Read 2 more answers
WHICH STATEMENT IS TRUE?
valina [46]

Answer:

I am only a 7th grader so I will probably get this incorrect but I think the correct answer is A.

Step-by-step explanation:

4 0
3 years ago
A computer store changed the price of a laptop. It was originally $900, but now it is $1,100.Find the percent of change
tigry1 [53]

Answer:

The percent of change is 22.22%.

Step-by-step explanation:

You can calculate the percent of change by subtracting the original number from the final number and dividing that by the original number. Then, you have to multiply the result for 100:

percent of change=((1,100-900)/900)*100

percent of change=(200/900)*100

percent of change=22.22%

According to this, the answer is that the percent of change is 22.22%.

7 0
2 years ago
Juanita gets paid for every apron she embroiders. Last week she earned $185. If she earns $2.50 for each embroidered piece, how
GenaCL600 [577]

Answer:74

Step-by-step explanation:

6 0
3 years ago
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