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
spin [16.1K]
3 years ago
13

The side of a cube is increasing at a rate of 2 kilometers per hour. At a certain instant, the side is 1.5. What is the rate of

change of the volume of the cube at that instant (in cubic kilometers per hour)?
Mathematics
1 answer:
Arisa [49]3 years ago
3 0

Answer:

dV/dt = 13,5 [Km³/h]

Step-by-step explanation:

The volume f the cube is:

V = x³                 where x is a side of the cube, then tacking derivatives with respect to  time on both sides of the equation

dV/dt = 3*x² dx/dt

dx/dt = 2 km/h

at the time when the side x =  1,5 Km

dV/dt = 3* (1,5)²*2   [km³/h]

dV/dt = 13,5 [Km³/h]

You might be interested in
Select all equations that have graphs with the same y-intercept.
vlada-n [284]

Answer:

y = 3x - 8

y = (1/3)x - 8

y= 5x - 8

y= 2x - 8

5 0
3 years ago
Read 2 more answers
Which regular polygon with an apothem of 5 inches, will have a perimeter that is closest to the circumference of a circle with a
gladu [14]
Its octagon
hope i helped
7 0
3 years ago
IF YOU ANSWER THIS I WILL GIVE YOU BRAINLIEST!! 21PTS
vovangra [49]
<span>200 < 225 + 80x < 550

The 200 is the amount the Jenna currently have. 
225 + 80x is the amount that Jenna has to pay given x number of hours.
550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.

225 + 80x < 550
80x < 550 -225
80x < 325
80x / 80 < 325/80
x < 4.06 or 4 hours

225 + 80x </span>→ 225 + 80(4) = 225 + 320 = 545
<span>
The number of hours for the sound technician will range from 1 hour to 4 hours. 

Assuming they will use 6 hours.

225 + 80(6) = 225 + 480 = 705
705 - 550 = 155

Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians. 


</span>
4 0
2 years ago
Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?
bija089 [108]

The value of f(-6) is -12.2

Explanation:

Given that the function f(x)=\frac{100}{-10+e^{-0.1\left(x\right)}}

We need to determine the value of f(-6)

The value of f(-6) can be determined by substituting the value for x=-6 in the function and simplify the function.

Hence, let us substitute x=-6 in the function, we get,

f(-6)=\frac{100}{-10+e^{-0.1\left(-6\right)}}

Let us apply the rule -\left(-a\right)=a , we get,

f(-6)=\frac{100}{-10+e^{0.1\left(6\right)}}

Multiplying the numbers, we get,

f(-6)=\frac{100}{-10+e^{0.6}}

The value of e^{0.6}=1.822

Substituting the value of e^{0.6}=1.822 , we get,

f(-6)=\frac{100}{-10+1.822}

Subtracting the denominator, we have,

f(-6)=\frac{100}{-8.178}

Dividing, we have,

f(-6)=-12.228

Rounding off to the nearest tenth, we have,

f(-6)=-12.2

Thus, the value of f(-6) is -12.2

4 0
2 years ago
What is the volume of a cylinder that has the same base and height dimensions as the cone shown below? Use 3.14 for pi the base
Zarrin [17]
Answer: I assume the radius is 1/2 the base of 6 in.

r = 3 ft
h = 10 ft
s = 10.4403 ft
V = 94.2478 ft³
L = 98.3976 ft²
B = 28.2743 ft²
A = 126.672 ft²


r = radius
h = height
s = slant height
V = volume
L = lateral surface area
<span>B = base surface area </span>
A = total surface area
π<span> = pi = 3.14159</span>
<span>√ = square root</span>
8 0
3 years ago
Other questions:
  • Standard form for 1x1+9x1/10+8x1/100+1x1/1000
    7·2 answers
  • PLSSSS HELPPPP MEEEEE I WILLLL<br> GIVEEEE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • Put the following numbers in Appropriate Order.<br>I need help!​
    9·1 answer
  • I need help please?!!!!
    15·1 answer
  • A+ b = 180<br> x + 25<br> 5x<br> Write the equation<br> and solve for x.
    6·1 answer
  • Three times a number subtracted from the quotient of fifteen and a number. Use x as your variable
    15·1 answer
  • QUESTION IS BELOWWWWWWWWWWWWW
    10·2 answers
  • At a park, it costs $9.75 an hour to rent a bicycle. It costs $7.25 an hour to rent a scooter. Aaron has a coupon
    13·2 answers
  • On zeba's birthday,her uncle gift her two new dolls. in how many ways can zeba arrange all her dolls on 6 shelves, placing one d
    9·1 answer
  • HELP MEEEE PLEASEEEE, 20 POINTS!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!