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3 years ago

How does the graph below change between point A and point B?

Mathematics

1 answer:

marishachu [46]3 years ago

4 0

The line is an upside U shape from A to B

This means the graph increases, then decreases.

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The fish tank has side lengths 20in, 10in and height 15in. The water level is two inches below the top of the tank. A glass sphe

Kitty [74]

Answer:

Part 1) The new distance from the water to the top of the tank is $1.979\ in$

Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95

Step-by-step explanation:

step 1

Find the total volume of the tank

$V=20*10*15=3,000\ in^{3}$

step 2

Find the volume of the tank if the water level is two inches below the top of the tank

$V=20*10*(15-2)=2,600\ in^{3}$

step 3

Find the volume of the glass sphere

The volume of the glass sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=1\ in$

assume

$\pi=3.14$

substitute

$V=\frac{4}{3}(3.14)(1)^{3}$

$V=4.2\ in^{3}$

step 4

What is the new distance from the water to the top of the tank?

we know that

$2 in -----> represent (3,000-2,600)=400\ in^{3}$

using proportion

Find how many inches correspond a volume of $4.2\ in^{3}$

$\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in$

The new distance from the water to the top of the tank is

$2-0.021=1.979\ in$

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to $4.2\ in^{3}$

using proportion

$\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls$

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

4 0

3 years ago

Solve for x. Please show work.

abruzzese [7]

Answer:

x= to 5

Step-by-step explanation:

5 0

3 years ago

A number is increased by 2 and then multiplied by 3. The result is 24. What is this number

Sav [38]

Answer:

The answer is 6.

Step-by-step explanation:

To find this answer, divide 24 by 3 and you get 8. 8 minus 2 is 6.

3 0

3 years ago

A cylinder is 8 inches high. The circumference of the base 6pi inches. Find the volume

OverLord2011 [107]

The cylinder is 48 in volume

4 0

4 years ago

Read 2 more answers

How to do this I don’t understand this please help

VashaNatasha [74]

I'm guessing you'd combine them. And the end equation would be

81x6y

7 0

4 years ago

How does the graph below change between point A and point B?​

How does the graph below change between point A and point B?