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3 years ago

What is 5x times (3x^2 -5)

Mathematics

1 answer:

Mars2501 [29]3 years ago

8 0

Answer:

$\large\boxed{5x\times(3x^2-5)=15x^3-25x}$

Step-by-step explanation:

$5x\times(3x^2-5)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\=(5x)(3x^2)+(5x)(-5)\\\\=15x^3-25x$

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Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 4000/ 3 * π in 3. One day, her sink clogged.

givi [52]

Answer:

Part a) 119 cups

Part b) 30 cups

Step-by-step explanation:

Part a)

step 1

Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in

The volume of the cone (cup) is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

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$h=8\ in$

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substitute

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step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

$\frac{4,000}{33.49}= 119\ cups$

Part b)

step 1

Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in

The volume of the cone (cup) is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=8/2=4\ in$ ----> the radius is half the diameter

$h=8\ in$

assume

$\pi =3.14$

substitute

$V=\frac{1}{3}(3.14)(4^{2})8=133.97\ in^3$

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

$\frac{4,000}{133.97}= 30\ cups$

7 0

3 years ago

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Vikentia [17]

Answer:

See Below

Step-by-step explanation:

1) 180 ft / 6 sec

To find a unit rate, you need to have a denominator of 1 and to to do that, you can divide the numerator and denominator by the same number, in this case: 6.

30 ft / 1 sec

2) 86 mi / 5 hr

Same as above^(except dividing by 5)

17.2 mi / 1 hr

3) 83 mi / 5 hr

Same as above^^

16.6 mi / 1 hr

We can rewrite this as: 16.6 mph

4) 93 mi / 5 hr

Same as above^^^

18.6 mi / 1 hr

5) 150 mi / 4 hr

Same as above^^^^

37.5 mi / 1 hr

We can rewrite this as: 37.5 mph

8 0

3 years ago

Read 2 more answers