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
Vaselesa [24]
3 years ago
13

The edges of a cube increase at a rate of 2 cm divided by s. How fast is the volume changing when the length of each edge is 40

​cm? Write an equation relating the volume of a​ cube, V, and an edge of the​ cube, a. nothing Differentiate both sides of the equation with respect to t. StartFraction dV Over dt EndFraction equals(nothing )StartFraction da Over dt EndFraction ​(Type an expression using a as the​ variable.) The rate of change of the volume is nothing cm cubed divided by sec. ​(Simplify your​ answer.)
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Let the edge of the cube be a .

Given

\frac{da}{dt} = 2 cm/s

Volume V = a³

\frac{dV}{dt} = 3a^ 2\frac{da}{dt}

= 3a² x 2

= 6a²

If a = 40 cm

\frac{dV}{dt} = 6 \times 40\times40

= 9600 cm³/s .

You might be interested in
6x+2y=<br> 6x+2y=<br> \,\,16<br> 16<br> 2x-2y=<br> 2x−2y=<br> \,\,32<br> 32
Ivanshal [37]

Answer:

x = 6, y = -8

Step-by-step explanation:

First we take the equations side by side and put them like this:

 6x + 2y = 16

+ 2x - 2y = 32

8x = 48

Then solve for x.

x = 6

Then insert x back into either equation

2(5) - 2y = 32

10 - 2y = 32

solve for y,

y = -10

3 0
3 years ago
A mountain railway AB is of length 864m and rises at an angle of 120° to the horizontal.
Ainat [17]

Answer:

The height above sea level at <em>B</em> is approximately 1,604.25 m

Step-by-step explanation:

The given length of the mountain railway, AB = 864 m

The angle at which the railway rises to the horizontal, θ = 120°

The elevation of the train above sea level at <em>A</em>, h₁ = 856 m

The height above sea level of the train when it reaches <em>B</em>, h₂, is found as follows;

Change in height across the railway, Δh = AB × sin(θ)

∴ Δh = 864 m × sin(120°) ≈ 748.25 m

Δh = h₂ - h₁

h₂ = Δh + h₁

∴ h₂ ≈ 856 m + 748.25 m = 1,604.25 m

The height above sea level of the train when it reaches <em>B</em> ≈ 1,604.25 m

4 0
2 years ago
What is the LCM and GCF of<br> 37 and 12
RSB [31]
I hope this helps you

7 0
3 years ago
out of 24 students, 6 preferred to use pastels for their portraits while 4 preferred to use watercolours watercolours. what perc
notka56 [123]

Answer:

4% used pastels.

Step-by-step explanation:,,

green is the most

5 isnt blue.green,yello or red

3 0
3 years ago
Write an equation in slope-intercept form of the line.
alexira [117]

Answer:

y=x-3

Step-by-step explanation:

To find slope, use m=y2-y1/x2-x1, using values of x and y from two different points. Once you have found slope, take another point and use the point-slope equation y-y1=m(x-x1) and substitute in slope for m and the point for x1 and y1. Isolate y by subtracting y1 from both sides.

3 0
2 years ago
Other questions:
  • Hans rented a truck for one day. There was a base fee of $19.99 , and there was an additional charge of 85 cents for each mile d
    7·1 answer
  • Pediatricians prescribe 5mL of cough syrup for every 25lb of a child's weight. How many mililiters of cough syrup will the docto
    13·1 answer
  • Which equation demonstrates the additive identity property?
    6·2 answers
  • Before polishing, a steel plate was 2.342 inches thick. After polishing, it was 2.087 inches thick. How much was removed in poli
    15·2 answers
  • PLEASE HELP RATES AND RATIOS
    7·1 answer
  • Please help me !!!!!!!!!!
    6·1 answer
  • Multiply the following -7x(11x +12)
    10·2 answers
  • Graph the line with the equation y=-1÷5×-3
    7·1 answer
  • For an upcoming school dance, Mr. Abbot bought 24 bags of pretzels and 18 bags of chips.
    14·2 answers
  • In Centerville, 45% of the population is female, and 60% of the population commutes to work daily. Of the total Centerville popu
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!