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Margaret [11]
3 years ago
9

Changing Volume If each edge of a cube is increasing at the constant rate of 3 centimeters per second, how fast is the volume in

creasing when x, the length of an edge, is 10 centimeters long?
Mathematics
1 answer:
timofeeve [1]3 years ago
4 0
Calculus! First one I've seen here! Take the derivative of the volume of a cube. Volume is V = s^3, dV = 3s^2 ds when s = 10 and ds = 3.  I think you used x. Anyway, in the derivative fill in the s with a 10 and the ds (rate of change) is 3. So dV = 3(10)^2 * 3
     dV = 600 cm per second
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An even integer can be represented by the expression 2n, where n is any integer. Find three consecutive even integers that have
Setler79 [48]

As consecutive odd numbers differ by two (example: 3, 5, 7), the first odd number can be expressed as 2n + 1, the next can be found by adding two to the first to get 2n + 1 + 2 which simplifies to 2n + 3. Finally the expression for the third consecutive odd integer can be found by adding two to the previous, 2n + 3, to get 2n + 5. Adding these three together and setting them equal to your sum gets the equation

2n + 1 + 2n + 3 + 2n + 5 = 63

Combine like terms and solve For n.

Once you have n, you must substitute it back into your three expressions (2n + 1, 2n + 3, 2n + 5) to find the three odd integers.

Hope this helps :)

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3 years ago
PLEASE HELP - Which of these graphs represents a nonlinear function ?
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Figure 3

Step-by-step explanation:

5 0
3 years ago
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Please help! Could you answer all!?
Brums [2.3K]

Answer:

1.) 48

2.) 65

3.) 36

Step-by-step explanation:

1.)     If the equation is 6(x-4) and x = 12, then all we have to do is plug in the value of x. When we plug in, all we do is substitute 12 for x because they mentioned in the question that x = 12. So, we end up getting 6(12 - 4). After solving this, we get 48.

2.)     This problem is a lot like the last problem. All we need to do is substitute /plug in the values of x and y into the equation, to get 4(4^2) - 35/7 - (8 + 14). After solving, we get 65.

3.) .     This problem, once again, is also a lot like the last problems. We need to substitute the value of x into the equation 8x+12. Since we know from the problem that x is 3, all we have to do is 8 * 3 + 12.

3 0
3 years ago
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What is the mass of a 15cm cube of lron if density of iron is 78grams/cm
amm1812

Answer:

M = 1170 g

Step-by-step explanation:

Mass = density × volume

M = p x v

M = 78 x 15

M = 1170 g

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3 years ago
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HELP I NEED ANSWERS FAST ITS E.L.A
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“huh” is the interjection!
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