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
Zepler [3.9K]
2 years ago
6

I WILL AWARD BRAINLIEST!!

Mathematics
1 answer:
wariber [46]2 years ago
6 0

Answer:1. 70% 2. -40%


Step-by-step explanation:hope this helped :)


You might be interested in
A tank initially has 300 gallons of a solution that contains 50 lb. of dissolved salt. A brine solution with a concentration of
belka [17]

Let <em>s(t)</em> be the amount of salt in the tank at time <em>t</em>. Then <em>s(0)</em> = 50 lb.

Salt flows into the tank at a rate of

(2 gal/min) (6 lb/gal) = 12 lb/min

and flows out at a rate of

(2 gal/min) (<em>s(t)</em>/300 lb/gal) = <em>s(t)</em>/150 lb/min

so that the net rate at which salt is exchanged through the tank is

d<em>s(t)</em>/d<em>t</em> = 12 - <em>s(t)</em>/150 … (lb/min)

Solve for <em>s(t)</em>. The DE is separable, so we have

d<em>s</em>/d<em>t</em> = 12 - <em>s</em>/150

150 d<em>s</em>/d<em>t</em> = 1800 - <em>s</em>

150/(1800 - <em>s</em>) d<em>s</em> = d<em>t</em>

Integrate both sides to get

-150 ln|1800 - <em>s</em>| = <em>t</em> + <em>C</em>

Solve for <em>s</em> :

ln|1800 - <em>s</em>| = -<em>t</em>/150 + <em>C</em>

1800 - <em>s</em> = exp(-<em>t</em>/150 + <em>C </em>)

1800 - <em>s</em> = <em>C</em> exp(-<em>t</em>/150)

<em>s</em> = 1800 - <em>C</em> exp(-<em>t</em>/150)

Now given that <em>s(0)</em> = 50, we solve for <em>C</em> :

50 = 1800 - <em>C</em> exp(-0/150)

50 = 1800 - <em>C</em>

<em>C</em> = 1750

Then the amount of salt in the tank at any time <em>t</em> ≥ 0 is

<em>s(t)</em> = 1800 - 1750 exp(-<em>t</em>/150)

To find the time it takes for the tank to hold 100 lb of salt, solve for <em>t</em> in

100 = 1800 - 1750 exp(-<em>t</em>/150)

1700 = 1750 exp(-<em>t</em>/150)

34/35 = exp(-<em>t</em>/150)

ln(34/35) = -<em>t</em>/150

<em>t</em> = -150 ln(34/35) ≈ 4.348

So it would take approximately 4.348 minutes.

By the way, we didn't have to solve for <em>s(t)</em>, we could have instead stopped with

-150 ln|1800 - <em>s</em>| = <em>t</em> + <em>C</em>

Solve for <em>C</em> - this <em>C</em> <u>is not</u> the same as the one we found using the other method. <em>s(0)</em> = 50, so

-150 ln|1800 - 50| = 0 + <em>C</em>

<em>C</em> = -150 ln|1750|

==>   <em>t</em> = 150 ln(1750) - 150 ln|1800 - <em>s</em>|

Then <em>s(t)</em> = 100 lb when

<em>t</em> = 150 ln(1750) - 150 ln(1700)

<em>t</em> = 150 ln(1750/1700)

<em>t</em> = 150 ln(35/34)

<em>t</em> ≈ 4.348

5 0
3 years ago
Find the missing value ​
lapo4ka [179]

Answer:

-10

Step-by-step explanation:

since the answer is positive, we need a negative number, if we use -10,two negatives makes a positive, so it becomes

-8 +10=2

4 0
3 years ago
Find the volume of the box. Use the formula V = lwh. Rectangular box with sides x plus 2, 2x minus 1, and 3x plus 1.
nata0808 [166]
I got.......6x^3 + 5x^2 - 3x - 2................not sure though
3 0
3 years ago
The area of a duck enclosure is 300 square feet, with 100 square feet occupied by a pond. Each duck in the enclosure needs more
kkurt [141]

Answer:

C GIVE BRAINLIEST PLZZZZ

3 0
2 years ago
Simplify the expression. 3(8j + 6) + 2j
kvv77 [185]

Answer:  3 x 16j

Step-by-step explanation:

3(8j +6) +2j

3 x 14j+2j

3 x 16j

4 0
3 years ago
Other questions:
  • The difference between the number of customers in line at the express checkout and the number in line at the superexpress checko
    11·1 answer
  • Jabian buys pencils as souvenirs from his vacation to give to his friends. He starts with 90 pencils and gives away 15 each hour
    14·1 answer
  • What to do in the the following question
    13·1 answer
  • Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 20. Find the prob
    14·1 answer
  • 2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equatio
    11·1 answer
  • Please answer!(20pts) Each month your parents deposit $75 into your college fund. The account pays an annual rate of 3.5% compou
    6·1 answer
  • Last year, the Humane Society found 96 homes for its stray kittens.
    8·1 answer
  • The amount of cashews in a mixture of nuts is 3 times the amount of almonds. Let C represent the amount of cashews in the mixtur
    13·1 answer
  • Henry scored 32 marks out of 80. Find her Pertentage score
    14·1 answer
  • When Evil Kenevil was a kid, he decided to attempt to jump a distance of 30 yards using ramps that extended 9 yards high for tak
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!