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Ganezh [65]
3 years ago
13

I have 100 apples i eat 52.5,how many i have​

Mathematics
1 answer:
Liula [17]3 years ago
4 0

Answer:

47.5

Step-by-step explanation:

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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
Find the scale factor of the dilation. Then tell whether the dilation is a reduction or and enlargement...
faltersainse [42]
Scale factor is 1/3
And I think it's an enlargement
5 0
3 years ago
How many ways can you arrange 10 numbers
kkurt [141]

Answer:

3628800

Step-by-step explanation:

There are 10 options for the first number.

That leaves 9 options for the second number.

That leaves 8 options for the third number.

So on and so forth.

The number of ways 10 numbers can be arranged is:

10×9×8×7×6×5×4×3×2×1

= 10!

= 3628800

8 0
3 years ago
Write the equation of a line perpendicular to y= 2x+ 2 that passes through the point (-1, -7).
Nataly [62]

Answer:

all work is shown and pictured

5 0
3 years ago
The square root of the quotient of a number n and 3 is equal to the square root of 4 less than the number. Which of the followin
Lisa [10]

Answer:

6

Step-by-step explanation: You can set up the equation: \sqrt{\frac{n}{3} } = \sqrt{n-4} You square both sides to cancel out the squares which leaves you with \frac{n}{3} = n - 4. Then you just solve as normal which ends you up with an answer of 6. You can check this by plugging 6 back into the equation and see that you end up with \sqrt{2} on both sides.

4 0
3 years ago
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