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4 years ago

A car traveling south is 200 kilometers from its starting point after 2 hours. What is the average velocity of the car?

Mathematics

1 answer:

Eddi Din [679]4 years ago

8 0

D. 100 kilometers/hour

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6. A tank contains 100-gallon of pure water. At time t = 0, a solution containing 2 lb of salt per gallon flows into the tank at

SOVA2 [1]

Answer:

The answer is below

Step-by-step explanation:

Let Q represent the amount of salt in the tank at time t.

$\frac{dQ}{dt}= flow\ in - flow\ out\\ \\flow\ in=3\ gal/min*2\ lb/gal=6\ lb/min\\\\net\ gain\ in\ tank\ volume=3-4=-1, henceflow\ out= \frac{4Q}{100-t} \\\\\frac{dQ}{dt}= 6-\frac{4Q}{100-t} \\\\\frac{dQ}{dt}+ \frac{4Q}{100-t}=6\\\\The \ integrating\ factor\ is:\\\\IF=e^{\int\limits {\frac{4}{100-t} } \, dt }=e^{-4\int\limits {\frac{-1}{100-t}}=e^{-4ln(100-t)}=(100-t)^{-4}}\\\\Multiplying\ through \ by\ IF: \\\\(100-t)^{-4}\frac{dQ}{dt}+ (100-t)^{-4}\frac{4Q}{100-t}=6(100-t)^{-4}\\\\$

$Integrating:\\\\A(100-t)^{-4}=-2(100-t)^{-3}+c\\\\A=-2(100-t)+\frac{c}{(100-t)^{-4}} \\\\at, t=0,A=0\\\\0=-2(100-0)+\frac{c}{(100-0)^{-4}}\\\\c=0.02\\\\A=-2(100-t)+\frac{0.02}{(100-t)^{-4}}$

7 0

3 years ago

Find the quotient of 12,3

olga_2 [115]

Divide 12 by 3.your answer should be 4

8 0

4 years ago

Determine if the ordered pairs represent a function.<br> {(2,5),(4,7), (2,9), (6,10)}

zalisa [80]

Answer:

No it does not represent a function

Step-by-step explanation:

It fails the vertical line test..

5 0

3 years ago

I am a multiple of 3 and 5. the sum of my digits is 9. what number am I?

iVinArrow [24]

Answer:

The answer is 45.

Step-by-step explanation:

This number is a multiple of 3 and 5, since it is divisible by both of these numbers.

4 + 5 equals 9, which is what it means by the sum of it's digits.

I hope this helps!

#teamtrees #WAP (Water And Plant)

3 0

3 years ago

How do y’all find the equation in standard form plz help me guys

Katen [24]

Answer:

it is a funtion

Step-by-step explanation:

all i can say is that it is a function

3 0

3 years ago