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3 years ago

Select the correct answer

Mathematics

1 answer:

bulgar [2K]3 years ago

3 0

The answer is b bc it’s all real numbers since it won’t stop

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Can someone help me find the domain of this function please ?

ratelena [41]

Answer: It is A=-1<x<-6 is the domain

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3 years ago

________ are ratios that name the same comparison

Gre4nikov [31]

Equivalent ratios are ratios that name the same comparison. Meanwhile, equivalent fractions are fractions that name the same amount or part. Equivalent ratios and equivalent fractions are similar in that the two quantities refer to ratios and fractions that ultimately have the same value but are expressed in a different way. For example, 48/64 is equivalent to 72/96, both have the value of 3/4.

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3 years ago

Read 2 more answers

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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3 years ago

3 Evaluate (1/2) plzzz helpppp meeee

larisa [96]

Answer:

0.5

Step-by-step explanation:

1/2 is one half, and if you divide 1 by 2 using long division you get 0.5

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2 years ago

Is adding polynomials will always yield a polynomial answer true or false ?

zhuklara [117]

True: adding two polynomials will always result in another polynomial

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2 years ago