1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna11 [10]
2 years ago
7

Marking brainliest! What is the question asking did ?

Mathematics
1 answer:
zloy xaker [14]2 years ago
8 0

Answer:

4.5

Step-by-step explanation:

Its asking if y was six what would x be. Then you get n.

You might be interested in
A 1000-liter (L) tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 50 g/L flo
djverab [1.8K]

Answer:

a) y(t)=50000-49990e^{\frac{-2t}{25}}

b) 31690.7 g/L

Step-by-step explanation:

By definition, we have that the change rate of salt in the tank is \frac{dy}{dt}=R_{i}-R_{o}, where R_{i} is the rate of salt entering and R_{o} is the rate of salt going outside.

Then we have, R_{i}=80\frac{L}{min}*50\frac{g}{L}=4000\frac{g}{min}, and

R_{o}=40\frac{L}{min}*\frac{y}{500} \frac{g}{L}=\frac{2y}{25}\frac{g}{min}

So we obtain.  \frac{dy}{dt}=4000-\frac{2y}{25}, then

\frac{dy}{dt}+\frac{2y}{25}=4000, and using the integrating factor e^{\int {\frac{2}{25}} \, dt=e^{\frac{2t}{25}, therefore  (\frac{dy }{dt}+\frac{2y}{25}}=4000)e^{\frac{2t}{25}, we get   \frac{d}{dt}(y*e^{\frac{2t}{25}})= 4000 e^{\frac{2t}{25}, after integrating both sides y*e^{\frac{2t}{25}}= 50000 e^{\frac{2t}{25}}+C, therefore y(t)= 50000 +Ce^{\frac{-2t}{25}}, to find C we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions y(0)=10, so 10= 50000+Ce^{\frac{-0*2}{25}}

10=50000+C\\C=10-50000=-49990

Finally we can write an expression for the amount of salt in the tank at any time t, it is y(t)=50000-49990e^{\frac{-2t}{25}}

b) The tank will overflow due Rin>Rout, at a rate of 80 L/min-40L/min=40L/min, due we have 500 L to overflow \frac{500L}{40L/min} =\frac{25}{2} min=t, so we can evualuate the expression of a) y(25/2)=50000-49990e^{\frac{-2}{25}\frac{25}{2}}=50000-49990e^{-1}=31690.7, is the salt concentration when the tank overflows

4 0
3 years ago
Solve each solution. Check your solution. -32 = -4b
statuscvo [17]
You need to divide-4 on both sides which will get you 8.hope this helps
7 0
3 years ago
Read 2 more answers
Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~​
Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

\sf\longrightarrow sin^2\theta + cos^2\theta = 1

Imagine a right angled triangle with one of its acute angle as \theta .

  • The side opposite to this angle will be perpendicular .
  • Also we know that ,

\sf\longrightarrow sin\theta =\dfrac{p}{h} \\

\sf\longrightarrow cos\theta =\dfrac{b}{h}

And by Pythagoras theorem ,

\sf\longrightarrow h^2 = p^2+b^2 \dots (i)

Where the symbols have their usual meaning.

Now , taking LHS ,

\sf\longrightarrow sin^2\theta +cos^2\theta

  • Substituting the respective values,

\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\

\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\

\sf\longrightarrow \dfrac{p^2+b^2}{h^2}

  • From equation (i) ,

\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\

\sf\longrightarrow \bf 1 = RHS

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0
2 years ago
Carly collected 4 1/4 pounds of newspaper for the recycling drive. Chloe collected 5 times as much newspaper as Carly. How many
BabaBlast [244]
The answer isss 21.25
7 0
3 years ago
Read 2 more answers
What is a 15% tip on a meal that costs $25.00
nataly862011 [7]
25.00/ 10= 2.50&#10; \\ 2.50*1.5= 3.75 \\ 25.00+3.75= 28.75
As you've got 15%, the best thing to do is to find 10%, then multiply it by 1.5. Once you've found the tip, you add this onto the cost of the meal.
Therefore, the total cost of $25 meal with a 15% tip is $28.75
Hope this helps :) 
8 0
3 years ago
Read 2 more answers
Other questions:
  • A normal distribution has a mean of 101 and a standard deviation of 3.4. What is the z-score of 105? Enter your answer, rounded
    10·1 answer
  • Which line contains the point (1, -3)?
    12·1 answer
  • I also have three large chocolate candy bars that are perforated into eight sections each. If I divide the bars into these secti
    6·1 answer
  • Give two examples of mixed numbers that when multiplied by 3/4 give a product between 3/4 and 1
    12·1 answer
  • Sam bought 3 boxes of chocolate online. Postage was $9 and the total cost was $45. How much was each box?
    12·2 answers
  • a hot air ballon descended 99.6 meters in 21 seconds what was the balloons average rate of descent in metters per second
    10·1 answer
  • HELP PLEASE IM STUCK :/
    7·1 answer
  • Felix buys a carpet for $230. The price is $3.50 per square foot. If Felix had a special discount coupon for $50 off, which line
    12·2 answers
  • Help test due tonight! *no links please *
    7·1 answer
  • Find the number between 100 and 999 such that
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!