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3 years ago

Which equation best represents the best relationship between x and y in the graph?

Mathematics

1 answer:

Mamont248 [21]3 years ago

6 0

I think the answer is c for the graph

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If John ran a 5-kilometer marathon, how long was that in meters? A. 500 m B. 1000 m C. 5,000 m D. 50,000 m

Karolina [17]

The answer is c- 5,000

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2 years ago

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Plz, help brainliest look at the picture PLZ HELP!!!

Luda [366]

Answer:

i think its B

Step-by-step explanation:

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2 years ago

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Last year, Mollie collected 64 pieces of candy while trick or treating. This year her costume is so fabulous that people were ex

never [62]

Answer:

79.6875 % If you can round, please do.

Step-by-step explanation:

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2 years ago

What is bigger 0.75 or 1 3/4

Simora [160]

1 3/4 is greater than 0.75 because 1 3/4 is 1.75 and it is greater than 0.75

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3 years ago

A large tank is filled to capacity with 600 gallons of pure water. brine containing 4 pounds of salt per gallon is pumped into t

nignag [31]

If $A(t)$ is the amount of salt in the tank at time $t$ , then the rate at which the amount of salt in the tank changes is given by

$\dfrac{\mathrm dA(t)}{\mathrm dt}=\dfrac{4\text{ lbs}}{1\text{ gal}}\dfrac{6\text{ gal}}{1\text{ min}}-\dfrac{A(t)\text{ lbs}}{600\text{ gal}}\dfrac{6\text{ gal}}{1\text{ min}}$
$\dfrac{\mathrm dA}{\mathrm dt}=24\dfrac{\text{lb}}{\text{min}}-\dfrac{A(t)}{100}\dfrac{\text{lb}}{\text{min}}$

Let's drop the units for now. We have

$\dfrac{\mathrm dA(t)}{\mathrm dt}+\dfrac{A(t)}{100}=24$
$e^{t/100}\dfrac{\mathrm dA(t)}{\mathrm dt}+e^{t/100}\dfrac{A(t)}{100}=24e^{t/100}$
$\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/100}A(t)\right]=24e^{t/100}$
$e^{t/100}A(t)=\displaystyle24\int e^{t/100}\,\mathrm dt$
$e^{t/100}A(t)=2400e^{t/100}+C$
$A(t)=2400+Ce^{-t/100}$

We're given that the water is pure at the start, so $A(0)=0$ , giving

$A(0)=0=2400+Ce^{-0/100}\implies C=-2400$

So the amount of salt in the tank (in lbs) at time $t$ is

$A(t)=2400\left(1-e^{-t/100}\right)$

4 0

2 years ago