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NARA [144]
3 years ago
11

(PLEASE ANSWER) Which expression is the prime factorization of 180X²Y? *

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
4 0

Answer:

Step-by-step mb nexplanation:

6s84d5if76ogy7ftrbjd5es5drf

kenny6666 [7]3 years ago
3 0
I have no clue but I think it’s 959583”04&6&(9;
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If 9 is subtracted from two thirds of a number , the result is 7. find the number.
ankoles [38]
So what you do is (2/3)x-9=7. Add 9 to both sides (2/3)x=16. Multiply by reciprocal on both sides 16 x (3/2). 16 x 3 = 48. 48/2=24
7 0
3 years ago
Read 2 more answers
A swimming pool with a volume of 30,000 liters originally contains water that is 0.01% chlorine (i.e. it contains 0.1 mL of chlo
SpyIntel [72]

Answer:

R_{in}=0.2\dfrac{mL}{min}

C(t)=\dfrac{A(t)}{30000}

R_{out}= \dfrac{A(t)}{1500} \dfrac{mL}{min}

A(t)=300+2700e^{-\dfrac{t}{1500}},$  A(0)=3000

Step-by-step explanation:

The volume of the swimming pool = 30,000 liters

(a) Amount of chlorine initially in the tank.

It originally contains water that is 0.01% chlorine.

0.01% of 30000=3000 mL of chlorine per liter

A(0)= 3000 mL of chlorine per liter

(b) Rate at which the chlorine is entering the pool.

City water containing 0.001%(0.01 mL of chlorine per liter) chlorine is pumped into the pool at a rate of 20 liters/min.

R_{in}=(concentration of chlorine in inflow)(input rate of the water)

=(0.01\dfrac{mL}{liter}) (20\dfrac{liter}{min})\\R_{in}=0.2\dfrac{mL}{min}

(c) Concentration of chlorine in the pool at time t

Volume of the pool =30,000 Liter

Concentration, C(t)= \dfrac{Amount}{Volume}\\C(t)=\dfrac{A(t)}{30000}

(d) Rate at which the chlorine is leaving the pool

R_{out}=(concentration of chlorine in outflow)(output rate of the water)

= (\dfrac{A(t)}{30000})(20\dfrac{liter}{min})\\R_{out}= \dfrac{A(t)}{1500} \dfrac{mL}{min}

(e) Differential equation representing the rate at which the amount of sugar in the tank is changing at time t.

\dfrac{dA}{dt}=R_{in}-R_{out}\\\dfrac{dA}{dt}=0.2- \dfrac{A(t)}{1500}

We then solve the resulting differential equation by separation of variables.

\dfrac{dA}{dt}+\dfrac{A}{1500}=0.2\\$The integrating factor: e^{\int \frac{1}{1500}dt} =e^{\frac{t}{1500}}\\$Multiplying by the integrating factor all through\\\dfrac{dA}{dt}e^{\frac{t}{1500}}+\dfrac{A}{1500}e^{\frac{t}{1500}}=0.2e^{\frac{t}{1500}}\\(Ae^{\frac{t}{1500}})'=0.2e^{\frac{t}{1500}}

Taking the integral of both sides

\int(Ae^{\frac{t}{1500}})'=\int 0.2e^{\frac{t}{1500}} dt\\Ae^{\frac{t}{1500}}=0.2*1500e^{\frac{t}{1500}}+C, $(C a constant of integration)\\Ae^{\frac{t}{1500}}=300e^{\frac{t}{1500}}+C\\$Divide all through by e^{\frac{t}{1500}}\\A(t)=300+Ce^{-\frac{t}{1500}}

Recall that when t=0, A(t)=3000 (our initial condition)

3000=300+Ce^{0}\\C=2700\\$Therefore:\\A(t)=300+2700e^{-\dfrac{t}{1500}}

3 0
3 years ago
How do you find the volume to a shape in math
AnnyKZ [126]

Answer:

the volume of a sphere is base times one half.

Step-by-step explanation:


4 0
3 years ago
Egal loggers got away with 4 acres of trees at a reserve in central Mexico. That number represents a 97 percent decline from two
geniusboy [140]

Answer: with 133.33 acres of trees

Step-by-step explanation:

4 acres of trees, is a 97% decrease of the previous amount.

This means that if the previous amount was X, then 4 acres is 3% (or 0.03 in decimal form) of X, or:

4 acres = 0.03*X

Now we can solve this for X as:

X = 4acres/0.03 = 133.33 acres

The illegal loggers got away with 133.33 acres of trees

6 0
3 years ago
Which expression is equivalent to 4 (3x – 2)?
allochka39001 [22]

Answer:

E is the answer

hope this helps

have a good day :)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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