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Allisa [31]
2 years ago
9

rafeal rides his bike down a hill. for each kilometer that he rides, his altitude changes by -10m. What is rafael's altitude rel

ative to his starting point after he rides 6 km?
Mathematics
1 answer:
mrs_skeptik [129]2 years ago
7 0

The answer is -60.

Why is this so??

The information we have here is that Rafeal rode his bike downhill by 6 kilometers.

Every kilometer he rides his bike, the altitude declines by 10m (meters)

let <em>m</em> represent how many meters the altitude declined.

If there is a positive number (ex. 2) multiplied by a negative number (-2), The result will be negative (-4) and vice-versa.

Same goes with division. positive number (4) divided by negative number (-2), the result will be a negative quotient.

<em>Therefore, the answer would be -60m, or -60 meters.</em>

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Stephen has made a 91, 96, and 95 on the first three quizzes this six weeks. If he makes the same score on the last two quizzes,
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Step-by-step explanation:

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5 0
2 years ago
Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. It forms a pile in the shape of a right circular cone whose
Norma-Jean [14]

Answer:

\frac{dh}{dt}=\frac{160}{169\pi }  ft/min

Step-by-step explanation:

This is a classic related rates problem.  Gotta love calculus!

Start out with the formula for the volume of a cone, which is

V=\frac{1}{3}\pi r^2h

and with what we know, which is \frac{dV}{dt}=40

and the fact that the diameter = height (we will come back to that in a bit).

We need to find \frac{dh}{dt} when h = 13

The thing we need to notice now is that there is no information given to us that involves the radius.  It does, however, give us a height.  We need to replace the r with something in terms of h.  Let's work on that first.

We know that d = h.  Because d = 2r, we can say that 2r = h, and solving for r gives us that r=\frac{h}{2}.

Now we can rewrite the formula with that replacement:

V=\frac{1}{3}\pi  (\frac{h}{2})^2h

Simplify that all the way down to

V=\frac{1}{12}\pi  h^3

The derivative of that function with respect to time is

\frac{dV}{dt}=\frac{1}{12}\pi(3h^2)\frac{dh}{dt}

Filling in what we have gives us this:

40=\frac{1}{12}\pi (3)(13)^2\frac{dh}{dt}

Solve that for the rate of change of the height:

\frac{dh}{dt}=\frac{160}{169\pi } \frac{ft}{min}

or in decimal form:

\frac{dh}{dt}=.95\pi  \frac{ft}{min}

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3 years ago
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jek_recluse [69]

Answer:

No, let me explain

Step-by-step explanation:

The definition of squared is a value multiplied by itself, and in this case, 2x(x) x is being multiplied by itself.  Keep in mind that x is a value, so it could be any number.  We can't say that x times 2x equals 2x, because you are multiplying 2x by the value of x.

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