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Luden [163]
3 years ago
11

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
1 answer:
True [87]3 years ago
5 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

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vovikov84 [41]

Answer:

x = (+ - ) 9

Step-by-step explanation:

x^2 = 81

u know how u can sometimes cancel something out by doing the opposite.

This is one of those times as well. the opposite of ^2 = square root.

so if we take the square root of both sides, this will cancel out the^2 on the left side.

sqrt (x^2) = sqrt(81)

x = (+-) 9.....thats a positive and a negative sign...because the sqrt of 81 is both 9 and -9.

3 0
3 years ago
Should you flip the inequality sign in this problem?<br> -9x + 27 = -13<br> Yes no
Angelina_Jolie [31]

Answer:

Step-by-step explanation:no you should not

-9x+27=-13

-9x-27=13

-9x=18

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3 0
3 years ago
Read 2 more answers
The perimeter of a triangle is 32 feet. One side of the triangle is 3 times the second side. The third side is 12 feet longer
Ivenika [448]

We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:

GiveN:

  • One side is 3 times the second side.
  • Third side is 12 feet longer than the second side.

As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.

  • So let the second side be x

Then,

  • First side = 3x
  • And, third side = x + 12

We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:

3x + x + x + 12 = 32

Solving it further,

5x + 12 = 32

Subtracting 12 from both sides,

5x + 12 - 12 = 32 - 12

5x = 20

Dividing 5 from both sides,

\frac{5x}{5}  =  \frac{20}{5}

x = 4

Then,

  • First side = 3x = 12 feet
  • Second side = 4 feet
  • Third side = x + 12 = 16 feet

And we are done with the answer !!

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

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3 years ago
Data that's displayed randomly on a scatter plot graph illustrates (please help asap!)
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No correlation is the answer
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Draw a picture of a figure that has more than 3 lines of symmetry. Draw the lines of symmetry
scZoUnD [109]

Answer: A hexagon has 6 lines of symmetry.

5 0
3 years ago
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