Ask question

Ask question

All categories

3 years ago

6

I WILL GIVE BRAINLIEST AND 10 POINTS PLEASE HELP FAST!!!!!Solve the equation using inverse operations. Check your solutions. In

your final answer, include all of your work.
5 - 2 x y^2 = -15 solve for y

1 answer:

Yanka [14]3 years ago

8 0

Answer:

5-2=3

3 x <u> </u>= 7.5^2

15 divided by 3 =5

3 x 5^2 = 15

y= 5

(hope this helps)

You might be interested in

A tank contains 240 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu

Novosadov [1.4K]

Answer:

$A(t)=240-220e^{-\frac{t}{40}}$

Step-by-step explanation:

A tank contains 240 liters of fluid in which 20 grams of salt is dissolved.

Volume of the tank = 240 liters
Initial Amount of Salt in the tank, A(0)=20 grams

Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 6 L/min

$R_{in}=$ (concentration of salt in inflow)(input rate of fluid)

$R_{in}=(1\frac{gram}{liter})( 6\frac{Liter}{min})=6\frac{gram}{min}$

$R_{out}=$ (concentration of salt in outflow)(output rate of fluid)

$R_{out}=(\frac{A(t)}{240})( 6\frac{Liter}{min})\\R_{out}=\frac{A}{40}$

Rate of change of the amount of salt in the tank:

$\dfrac{dA}{dt}=R_{in}-R_{out}$

$\dfrac{dA}{dt}=6-\dfrac{A}{40}$

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

$\dfrac{dA}{dt}+\dfrac{A}{40}=6\\$The integrating factor: e^{\int \frac{1}{40}dt} =e^{\frac{t}{40}}\\$Multiplying by the integrating factor all through\\\dfrac{dA}{dt}e^{\frac{t}{40}}+\dfrac{A}{40}e^{\frac{t}{40}}=6e^{\frac{t}{40}}\\(Ae^{\frac{t}{40}})'=6e^{\frac{t}{40}}$

Taking the integral of both sides

$\int(Ae^{\frac{t}{40}})'=\int 6e^{\frac{t}{40}} dt\\Ae^{\frac{t}{40}}=6*40e^{\frac{t}{40}}+C, $(C a constant of integration)\\Ae^{\frac{t}{40}}=240e^{\frac{t}{40}}+C\\$Divide all through by e^{\frac{t}{40}}\\A(t)=240+Ce^{-\frac{t}{40}}$

Recall that when t=0, A(t)=20 (our initial condition)

$20=240+Ce^{-\frac{0}{40}}\\20-240=C\\C=-220\\$Therefore, the number A(t) of grams of salt in the tank at time t\\A(t)=240-220e^{-\frac{t}{40}}$

3 0

3 years ago

Find the value for the side marked below.

olga55 [171]

Answer:

Solution given:

angle : 80°

hypotenuse:y=?

opposite=21

we have

Sin 80= $\frac{opposite} {hypotenuse}=\frac{21}{y}$

doing crisscrossed multiplication

we get

y= $\frac{21}{Sin 80°}$

<u>y=21.32</u>

6 0

2 years ago

Part A: Which of the following points are on the same line that passes through the (7,-7),(21,14),(49,35)? Select all

puteri [66]

It is C hope i helped you!;)

5 0

3 years ago

The probability distribution table shows the proportion of people living in the five different regions of a city there are now 4

const2013 [10]

Since there are a total of 4,200 residents and the question is asking for the amount in the south region, take the distribution number from the chart, 0.16, and multiply it by 4,200.
4200 ×.16 = 672

672 residents

4 0

3 years ago

Read 2 more answers

At a Saturday morning job, Beatriz stuffs 611 envelopes with 2 pages each and must pack them into y boxes for easy transportatio

il63 [147K]

13 boxes

611 envelopes

611/13 = 47 boxes

7 0

3 years ago

Read 2 more answers