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Leno4ka [110]
3 years ago
5

(b) Ten men can assemble 400 cycles in 8 days. How many cycles 5 men will

Mathematics
1 answer:
Deffense [45]3 years ago
8 0

Answer:

400

Step-by-step explanation

First, find how many cycles 5 man can make in 8 days.

400/2=200 (/ means divide)

Next, mutliply the answer to find out how many cycles 5 man can make in 16 days.

200x2=400

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A container is the shape of an inverted right circular cone has a radius of 4.00 inches at the top and a height of 5.00 inches.
Len [333]

The rate at which the water from the container is being drained is 24 inches per second.

Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.

Looking at the image we can use similar triangle propert to derive the relationship:

r/R=h/H

where dh/dt=2.

Thus r/5=2/5

r=2  inches

Now from r/R=h/H

we have to  write with initial values of cone and differentiate:

r/5=h/5

5r=5h

differentiating with respect to t

5 dr/dt=5 dh/dt

dh/dt is given as 2

5 dr/dt=5*-2

dr/dt=-2

Volume of cone is 1/3 πr^{2} h

We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.

Thus

dv/dt=1/3 π(2rh*dr/dt)+(r^{2}*dh/dt)

Putting the values which are given and calculated we get

dv/dt=1/3π(2*2*2*2)+(4*2)

=1/3*3.14*(16+8)

=3.14*24/3.14

=24 inches per second

Hence the rate at which the water is drained from the container is 24 inches per second.

Learn more about differentaiation at brainly.com/question/954654

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5 0
2 years ago
Kate borrowed $400 from her friend. She will repay this amount plus 3 percent simple interest after one year. What is the total
tekilochka [14]
The answer is $412.

Let's first calculate simple interest. Simple interest (I) can be expressed as:
I = P * r * t
P - principal
r - rate
t - time period

It is given:
I = ?
P = $400
r = 3% = 0.03
t = 1 year

Therefore:
I = P * r * t = 400 * 0.03 * 1 = 12

The total amount Kate will repay is the principal amount (P) plus 3% simple interest (I):
P + I = 400 + 12 = $412
6 0
3 years ago
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Archy [21]

Answer: increasing

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Step-by-step explanation:

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3 years ago
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Correct solutions if identified to be incorrect​
german

Answer:

it is correct

Step-by-step explanation:

b/c 5a square - 25b square

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7 0
2 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
Galina-37 [17]

Answer:

.7

Step-by-step explanation:

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