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-BARSIC- [3]
3 years ago
14

A cylindrical tank is half-full of oil. The cylinder has a base radius of 100 cm. The height of the cylinder is 250 cm. How many

litres of oil are in the tank? 1 litre = 1000 cm3
Mathematics
2 answers:
lbvjy [14]3 years ago
7 0
V=hpir²


1/2 full

Vcylinderthisone=(1/2)hpir^2
given
h=250
r=100

so

V=(1/2)(250)pi(100)²
V=125pi10000
V=1250000pi
aprox pi=3.141592
V=3926990 cm^3

divide by 1000
3926.99 liters
about 3927 liters
NARA [144]3 years ago
4 0
V=πr²h
V=π(100)² x 250
V=7853982.5 cm³

Then do the conversion:
1 litre = 1000 cm³
x litre =  7853982.5

Cross multiply:

1000x= 7853982.5
 x= 7853982.5/1000
x= 7853.98 litres

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For each boat he sells, nick earns $149 in addition to 2% of the purchase price of the boat as commission. If p represents the p
muminat

Answer:

The equation c = 0.02p+149 represents micks commission.

Step-by-step explanation:

Given that:

Amount earned by Nick on sale of each boat = $149

Commission earned = 2% of the purchase price

p represent the purchase price

Commission earned = \frac{2}{100}*p

Commission earned = 0.02*p

Commission earned = 0.02p

Total commission = c = 0.02p + 149

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The equation c = 0.02p+149 represents micks commission.

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2 years ago
Write and equation in slope intercept form (y=mx+b) for the graph below
soldier1979 [14.2K]

Answer:

y=1/3x+0 or y=1/3x

Step-by-step explanation:

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y2 - y1/x2 - x1

so, (3,1) and (6,2) becomes 2-1/6-3 or 1/3 so, slope is 1/3

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Let f(x) = 3 * sqrt(x) + 7. Define g$to be the inverse of f.
aliina [53]

By using the definition of inverse functions, we will see that:

g(g(f(f(f(36))))) = f(36) = 25.

<h3>What are inverse functions?</h3>

Two functions f(x) and g(x) are inverses if:

f( g(x) ) = x

g( f(x) ) = x

Then we can rewrite:

g(g(f(f(f(36)))))

First, we can see that:

g(f(f(f(36)))) = f(f(36))

Replacing that in our expression, we get:

g(g(f(f(f36))))) = g(f(f(36)))

And the above expression is equal to f(36), to be sure of that, let's replace:

u = f(36)

Then we can rewrite:

g(f(f(36))) = g(f(u))

And by definition, the above thing is equal to u:

g(f(u)) = u = f(36).

Finally, we conclude that:

g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25

If you want to learn more about inverse functions, you can read:

brainly.com/question/12220962

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