Which expression has a negative value?Mike saves $42 a week for 7 weeks. During his 8-day vacation, he plans to spend $8.25 each
1 answer:
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Answer:
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
and with what we know, which is
and the fact that the diameter = height (we will come back to that in a bit).
We need to find 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 .
Now we can rewrite the formula with that replacement:
Simplify that all the way down to
The derivative of that function with respect to time is
Filling in what we have gives us this:
Solve that for the rate of change of the height:
or in decimal form:
The Correct choice is ~ A
Because the two lines are parallel, the given angles forms Corresponding angle pair. and therefore they have equal measures.
<h3>Answer:</h3>
The rules of exponents tell you ...
... (a^b)(a^c) = a^(b+c) . . . . . . applies inside parentheses
... (a^b)^c = a^(b·c) . . . . . . . . applies to the overall expression
The Order of Operations tells you to evaluate inside parentheses first. Doing that, you have ...
... x^(4/3)·x^(2/3) = x^((4+2)/3) = x^2
Now, you have ...
... (x^2)^(1/3)
and the rule of exponents tells you to multiply the exponents.
... = x^(2·1/3) = x^(2/3)