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
IceJOKER [234]
3 years ago
5

At time t is greater than or equal to zero, a cube has volume V(t) and edges of length x(t). If the volume of the cube decreases

at a rate proportional to its surface area, which of the following differential equations could describe the rate at which the volume of the cube decreases?
A) dV/dt=-1.2x^2
B) dV/dt=-1.2x^3
C) dV/dt=-1.2x^2(t)
D) dV/dt=-1.2t^2
E) fav/dt=-1.2V^2
Mathematics
2 answers:
algol [13]3 years ago
8 0

Answer:

  A)  dV/dt=-1.2x^2

Step-by-step explanation:

The rate of change of volume is given by dV/dt. Surface area is proportional to x^2. Since the volume is decreasing, the constant of proportionality between surface area and rate of volume change will be negative. Hence a possible equation might be ...

  dV/dt = -1.2x^2

VARVARA [1.3K]3 years ago
6 0

Answer:

C

Step-by-step explanation:

V(t) = [x(t)]³

A(t) = 6[x(t)]²

dV/dt = k × 6[x(t)]²

Where k < 0

From the options,

taking k = -0.2

dV/dt = -1.2[x(t)]²

You might be interested in
How do you subtract 42 minutes from 1 hour ,25 minutes.explain what to do and why you do it?
aksik [14]
So 1 hour= 60 minutes
60+25= 85 minutes
Now we should subtract the 42
85-42=43
3 0
3 years ago
29/5 divided by nine and a half
trapecia [35]

29/5 is 5.8   5.8 dividen by 9 1/2 is 0.61052631578

Hope this helps! Have a great day!!!

3 0
3 years ago
the students are selling cookies at a school fair. sara is selling 3 cookies for 2.49 dollars. B. how much would it cost to buy
Alex
It will cost $16.6 to buy 20 cookies. Hope it help!
3 0
3 years ago
What is the LCM of 8 and 10
iragen [17]
40


8x5=40
10x4=40

Hope this helps
3 0
2 years ago
Please help me out with this problem!!!
Ronch [10]

Answer:

y = 3x - 2

Step-by-step explanation:

The equation is linear and expressed in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Given (0, - 2 ) then c = - 2

Calculate the multiplier using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1,1) ← 2 ordered pairs from the table

m = \frac{1+2}{1-0} = 3, hence

y = 3x - 2 ← equation relating x and y

6 0
3 years ago
Other questions:
  • a hula hoop measures 14 inches from the center to the outside. what is the distance around the hula hoop?
    7·2 answers
  • (x+6) is a factor of f(x). Solve f(x)=0.<br>x3 - 52x – 96​
    7·1 answer
  • 70 mm equals how many cm
    7·1 answer
  • Find angle "a" in the taper shown. ro
    9·1 answer
  • Solve 2(x + 1) = 2x + 5.
    12·2 answers
  • 13=2m+5 solve for m?
    12·2 answers
  • Please help
    11·1 answer
  • If Ben has 5 different color pairs of pants 8 different color shirts and 4 different color belts how many different combinations
    5·1 answer
  • What is the solution set for the equation 4x^2+11x-10=-7
    8·1 answer
  • I will give you brainliest, 5 stars, and a thanks! Plus ten points please answer quickly!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!