2 years ago

Besides 18 and 1, what is one factor of 18?

Mathematics

1 answer:

Andreyy892 years ago

8 0

Answer:

6, 2

Step-by-step explanation:

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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

A marathon takes place each year.In 2020 there were 6500 runners.Does this predict that in 2023 there will be more than 7500 run

777dan777 [17]

Answer:

yes

there would be 7525 runners

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r) n

FV = Future value

P = Present value

R = interest rate

N = number of years

6500 x (1.05)^3 = 7525 runners

5 0

3 years ago

Alexis bought a CD player. She does not remember the price, but she does know that the 5% sales tax came to $4.80. What was the

snow_lady [41]

Answer:

Price of CD player = $96

Step-by-step explanation:

Given:

Sales tax = 5%

Amount of sales tax = $4.80

Find:

Price of CD player

Computation:

Price of CD player = Amount of sales tax / Sales tax

Price of CD player = 4.8 / 5%

Price of CD player = $96

6 0

2 years ago

N(-2,-2) After a rotation 90 degrees counterclockwise

RUDIKE [14]

Answer: (2,-2)

Step-by-step explanation:

Rotating 90 degrees counterclockwise (about the origin) maps (x,y) onto (-y,x), so the answer is <u>N'(2,-2)</u>

6 0

2 years ago

Reflect (10,-8) over the x-axis

cricket20 [7]

Answer:

(10,8)

Step-by-step explanation:

Symmetry over x axis: you keep x, but change the sign of y value.

So, the symmetric of (10,-8) is (10,8)

3 0

3 years ago