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3 years ago

What is the distance between (-3,1) and (1,4)

Mathematics

1 answer:

AysviL [449]3 years ago

8 0

Answer:

Step-by-step explanation:

x1 = -3

x2 = 1

y1 = 1

y2 = 4

1- (-3) = 4

4 - 1 = 3

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

c^2 = 25 c= 5

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24 ounces of instant tea at 30 milligrams of caffeine per 8 ounces and 12 ounces of green tea at 15 milligrams of caffeine per 8

OleMash [197]

Answer:

3.125 mg/ oz

Step-by-step explanation:

Amount of instant tea = 24 ounces

Amount of green tea = 12 ounces

Caffeine in instant tea = 24/8*30= 90 mg/oz

Also, caffeine in green tea = 12/8*15 =22.5 mg/oz.

Total amount of mixture= 24+12= 36 ounce

Total amount of caffeine in the mixture = 90+22.5 = 112.5 mg/oz

Caffeine per ounce in the final mixture = 112.5 / 36 = 3.125 mg/ oz

8 0

3 years ago

Read 2 more answers

Question Part Points Submissions Used Use the method of cylindrical shells to find the volume V generated by rotating the region

pochemuha

Answer:

$V=\frac{448\pi}{5}$

Step-by-step explanation:

We are given that curves y= $3x^4$ is rotated about x=4 .

Given that y=0 and x=2

We have to find the volume V generated by rotating the region bounded by the curves with the help of method of cylindrical shells.

First we find the intersection point

Substitute y=0 then we get

0= $3x^4$

x=0

Hence, x changes from 0 to 2.

Radius =4-x

Height of cylinder =y= $3x^4$

Surface area of cylinder = $2\pi r h$

Volume V generated by the rotating curves

= $2\pi\int_{0}^{2} (4-x)(3x^4)dx$

V= $2\pi\int_{0}^{2}(12x^4-3x^5)dx$

V= $2\pi[\frac{12x^5}{5}-\frac{x^6}{2}]^2_0$

V= $2\pi[\frac{384}{5}-32]$

V= $2\pi\frac{384-160}{5}$

$V=\frac{448\pi}{5}$

Hence, the volume V generated by rotating the region by the given curves about x =4= $\frac{448\pi}{5}$ .

6 0

4 years ago

If I go 800 feet in 5 seconds how fast am I going in MPH?

defon

Hi.

800/5 = 160 mph

You are going 160 miles per hour.

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4 years ago

What is the volume of the cylinder below

Alika [10]

Answer:

Option A, 80π

Step-by-step explanation:

4²×5π

= 80π

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3 years ago

Which choice could represent the volume of a cake pan

Sav [38]

Answer:

3150^3

Step-by-step explanation:

5 0

3 years ago