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2 years ago

Select the equation that contains the points (-2 -2) and (4 10)

Mathematics

1 answer:

Brums [2.3K]2 years ago

8 0

Answer: y-6= 2(x-2)

Step-by-step explanation:

find the slope then put it in point slope form.

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An antique collectible has a value of $235 right now. It will increase in value by 9% each year. Find the value the collectible

kirill [66]

Answer:

Step-by-step explanation: An antique collectible has a value of $235 right now. It will increase in value by 9% each year. Find the value the collectible after 16 years, A.$2115 B. $1017 C.$856 D.933

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2 years ago

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What is a composite and prime number

Oxana [17]

Prime numbers are numbers that we can only divide by 1 and it self.
example- 2 can only be divided by 2 and 1

composite numbers are numbers we can divide by two or more numbers
example- 4 can be divided by 1,2 and 4.

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2 years ago

Oscar uses place value to divide 63.81 by 9 his steps are shiwn below what mistake does oscar make

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2 years ago

A large tank is filled to capacity with 300 gallons of pure water. brine containing 5 pounds of salt per gallon is pumped into t

Licemer1 [7]

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

$A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{5\text{ lb}}{1\text{ gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}$

$A'(t)+\dfrac1{100}A(t)=15$

We're told that the tank initially starts with no salt in the water, so $A(0)=0$ .

Multiply both sides by an integrating factor, $e^{t/100}$ :

$e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=15e^{t/100}$
$\left(e^{t/100}A(t)\right)'=15e^{t/100}$
$e^{t/100}A(t)=1500e^{t/100}+C$
$A(t)=1500+Ce^{-t/100}$

Since $A(0)=0$ , we have

$0=1500+C\implies C=-1500$

so that the amount of salt in the tank over time is given by

$A(t)=1500(1-e^{-t/100})$

After 10 minutes, the amount of salt in the tank is

$A(10)=1500(1-e^{-1/10})\approx142.74\text{ lb}$

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2 years ago