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3 years ago

The volume of this cylinder is 7500m

Mathematics

1 answer:

Kitty [74]3 years ago

6 0

Answer:

Clarifier Calculations

V = π r2h. Volume Calculations. Round ( Cylinder) Tanks. Example 1. Find the Volume in cubic feet of a tank having a radius of 10 feet and ...

Missing: 7500m ‎Give ‎SF

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It takes three identical water pumps 8 hours to fill a pool, What is the constant of variation?

BaLLatris [955]

Answer:

Constant of variation is 24.

Step-by-step explanation:

Inverse variation states that a relationship between two variables in which the product is remain constant.

If one variable increases then, the other one decreases in proportion so that the product is unchanged,

if y is inversely proportional to x i.e $y \propto\frac{1}{x}$ or

$y =\frac{k}{x}$ ;where k is the constant of variation.

It is given that 3 identical water pumps takes 8 hours to fill a pool,

since, it will take less time with more pumps, so it is an inverse variation.

By definition of inverse variation;

$time = \frac{k}{pump}$

Substitute the values to solve for k;

$8 = \frac{k}{3}$

Multiply by 3 to both sides we get;

$8 \times 3 = \frac{k}{3} \times 3$

Simplify:

k = 24

Therefore, the constant of variation is, 24

3 0

3 years ago

The optimal operating temperature of a given car engine is within 10°F of 190°F. Write an absolute value

KiRa [710]

|x - 190|≤10

Solved: 180≤x≤200

5 0

3 years ago

Kyle bought himself a pair of shoes for 89.50 and he bought his nephew a pair for half the price of his shoes. If the sales tax

ycow [4]

Solution-

89.50/2 = 44.75

44.75 is the amount he spent to buy his nephew the pair of shoes.

Now, we are going to add the amount he spent for himself and his nephew together.

89.50 + 44.75= 134.25

134.25 is the amount he spent in total, now we need to find the final amount with sales tax included.

We can do this by multiplying the total price by .075

134.25 * .075 = 10.07 (I rounded this to the nearest hundredths because we are dealing with money)

Now we need to add the two number together.

134.25 + 10.07 = 144.32

Answer-

The total amount Kyle spent is $144.32

3 0

3 years ago

Which equation represents the line that passes through the points (–3, 7) and (9, –1)?

Harlamova29_29 [7]

Answer:

1st option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (9, - 1)

m = $\frac{-1-7}{9-(-3)}$ = $\frac{-8}{9+3}$ = $\frac{-8}{12}$ = - $\frac{2}{3}$ , then

y = - $\frac{2}{3}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (9, - 1 ) , then

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - $\frac{2}{3}$ x + 5 ← equation of line

3 0

2 years ago

What is 11111111 in word form

Vadim26 [7]

Based On Extensive Research- my answer is:

eleven million, one hundred eleven thousand, one hundred eleven

If you have any question please message me without hesitation
Good luck! :)

7 0

3 years ago