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
schepotkina [342]
4 years ago
6

.Which one of the following is true when ds/dt=3t^2/2s

Mathematics
1 answer:
ser-zykov [4K]4 years ago
4 0
1) Given: ds / dt = 3t^2 / 2s

2) Separate variables: 2s ds = 3t^2 dt

3) Integrate both sides:

∫ 2s ds = ∫ 3t^2 dt

s^2 + constant = t^3 + constant

=> s^2 = t^3 + constant

=> s = √ (t^3 + constant)

Answer: option B.
You might be interested in
Ashley bought 4 packages of juice boxs in each package. She. gave 2 juice boxs to each of her friends. How many juice boxes does
Harlamova29_29 [7]
I am assuming there are more than one juice box in a package so if the amount of juice boxes in each package is X and there are four packages 4X.
So 4X - 2= Answer

If we make it so that there are 6 juice boxes in each package and use the same method this is what we'll get:
24 - 2= 22

22 would be the juice boxes left over.

I hope this answers your question, if it doesn't use the same method with the number of juice boxes in a package.
8 0
3 years ago
A rental car company charges $35 a day plus $.15/mi for a mid-size car. A customer owes $117.25 for a three-day rental. How many
Molodets [167]
The base charge is 35 dollars per day. He rented the car for 3 days, so before you add in the mileage you have to multiply 35 x 3 days for 105 dollars. Then you have to take the remaining charge and divide it by the charge per mile to get the number of miles driven.  Lets set up the equation.

d= number of days rented
m= number of miles driven

35(d) + .15(m) = 117.25
35(3) + .15m = 117.25
105 + .15m = 117.25
.15m = 117.25 - 105
.15m = 12.25
m = 12.25/.15
m = 81.67

So he drove 81.67 miles
8 0
4 years ago
Help me solve this! <br> 16-x=x
Aleks04 [339]

Answer:

16-8=8 I don't know if that's what you wanted but there

3 0
4 years ago
Read 2 more answers
What is the square root of 27 squared
Arisa [49]
27 squared is equal to 729, and the square root of 729 is equal to 27.

Hopefully, this helps.
8 0
3 years ago
Read 2 more answers
A boat drops an anchor 75 feet to the bottom of a lake. A sunken treasure chest lies at the bottom of the lake, 40 feet away fro
Reil [10]
Given
Height (length) of the anchor dropped from the boat = 75 feet
Distance of the treasure from the anchor = 40 feet

Solution
The dropped at the bottom makes an angle of 90 degree . Therefore making an right triangle with the chest and boat

By Pythagoras theorem
AC^2 = AB^2 + BC^2

(AC = distance of the treasure from the boat
AB = height of the anchor dropped from the boat
BC = the distance of treasure from the anchor)

AC^2 = 75^2 + 40^2
AC^2 = 5325 +1600
AC^2 = 6925
AC = 25 * (under root 11)

Therefore they have cover a distance of 25 * (under root 11)
5 0
4 years ago
Read 2 more answers
Other questions:
  • Driving to your friend's house, you travel at an average rate of 35 miles per hour. On your way home, you travel at an average r
    13·1 answer
  • Which number line shows the solution to the quality -3x -5 &lt;-2
    5·1 answer
  • What is 79 1/2% of $7570?
    7·1 answer
  • 2f -g
    15·1 answer
  • The least-squares regression model y =−3.4+5.2x and correlation coefficient r=−0.66 were calculated for a set of bivariate data
    10·1 answer
  • Select the gcf of these numbers. 25 · 5· 11 and 23· 52 · 7 a 2^2 · 3
    13·1 answer
  • 5. Writing to Explain How many 2-inch cubes could fit inside the
    7·1 answer
  • Find x.<br> WILL MARK BRAINLIEST!!
    15·1 answer
  • In an experiment, fis the control variable, g is the response variable, and h
    13·1 answer
  • Which linear inequality is represented by the graph?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!