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1 year ago

This year consumers purchased 5,234,267,990 bottles of water. Last year

Mathematics

1 answer:

Assoli18 [71]1 year ago

5 0

Answer: B

Step-by-step explanation:

First, find the sum of the bottles, which is 6,235,168,989 which is not an estimate.

Rounding it to the nearest billion, the answer is 6,000,000,000 or B)

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Louise calculated the height of a cylinder that has a volume of 486 x cubic centimeters and a radius of 9 centimeters. Her work

mafiozo [28]

Answer:

Option C.

Step-by-step explanation:

we have that

The correct question is

Louis calculated the height of a cylinder that has a volume of 486pie cubic centimeters and a radius of 9 centimeters her work is shows below

V=BH

STEP 1: 486pie=pie9^2h

STEP 2: 486pie=81pieh

STEP 3: 486pie/81pie=81pie/81pie h

STEP 4: h=6pie cm

what error did Louise make when calculating the height of the cylinder

A. in step 1 she substituted into the volume formula incorrectly

B. in step 2 she calculated 9^2 incorrectly

C. in step 4 the pie should have canceled making the correct answer 6 cm

D. Louise correctly calculated the height of the cylinder

we know that

The volume of the cylinder is equal to

$V=Bh$

where

B is the area of the base

h is the height of the cylinder

we have

$V=486\pi\ cm^{3}$

$r=9\ cm$

Find the area of the base B

$B=\pi r^{2}$

substitute

$B=\pi (9)^{2}$

step 1

substitute the values in the formula of volume

$486\pi=\pi (9)^{2}h$

step 2

$486\pi=81\pi h$

step 3

Divide both sides by 81π

$486\pi/81\pi=81\pi h/81\pi$

step 4

Simplify

$6=h$

rewrite

$h=6\ cm$

therefore

In step 4 the pie should have canceled making the correct answer 6 cm

3 0

2 years ago

Read 2 more answers

you have a coupon for 10% off a dvd that cost $15. if a tax of 8% is charged on the orginal amount, what will you pay for the DV

mylen [45]

Original price = $15

10% coupon = 10% x $15 = 0.10 x 15 = $1.50

Price after discount = $15 - $1.50 = $13.50

8% Tax = 8% x $15 = 0.08 x 15 = $1.20

Final Price = $15 - $1.50 + $1.20 = $14.70

Answer: $14.70

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3 years ago

Consider the following. x = t2 − 2t, y = t5, 1 ≤ t ≤ 4 Set up an integral that represents the length of the curve. 4 1 dt Use yo

zavuch27 [327]

Answer:

L ≈ 1023.0562

Step-by-step explanation:

We are given;

x = t² - 2t

dx/dt = 2t - 2

Also, y = t^(5)

dy/dt = 5t⁴

The arc length formula is;

L = (α,β)∫√[(dx/dt)² + (dy/dt)²]dt

Where α and β are the boundary points. Thus, applying this to our question, we have;

L = (1,4)∫√[(2t - 2)² + (5t⁴)²]dt

L = (1,4)∫√[4t² - 8t + 4 + 25t^(8)]dt

L = (1,4)∫√[25t^(8) + 4t² - 8t + 4]dt

Using online integral calculator, we have;

L ≈ 1023.0562

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2 years ago

Janet’s parents pay $25 per month for her phone. She has chosen a plan that charges $19.95 per month for unlimited calls and $0.

Lina20 [59]

ANSWER:

its $45

Step-by-step explanation:

add it all together...easy

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2 years ago

A Student has 10$ to buy one notebook and as many pens as possible write and solve an eqaution to find the number of pens the st

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Here's link to the answer:

tinyurl.com/wpazsebu

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2 years ago