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ankoles [38]
3 years ago
12

The fountain in the pond at the public park near Kevin's house has a pump that recirculates 75 gallons of water in 1/4 of an hou

r. Express this rate as a unit rate in gallons per hour.
Mathematics
1 answer:
pantera1 [17]3 years ago
7 0
75/10 * 4/1 = 300/1     300 gallons every hour
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dangina [55]

Answer: 14.7 cubic inches

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Step-by-step explanation:

Hope this helps.

5 0
2 years ago
There are x candies in a box. 8 of the candies are caramel-flavored and rest of them are strawberry-flavored. If the probability
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3 years ago
I think I know this much so far for A (but I could be wrong):
Eduardwww [97]
Part A. You have the correct first and second derivative.

---------------------------------------------------------------------

Part B. You'll need to be more specific. What I would do is show how the quantity (-2x+1)^4 is always nonnegative. This is because x^4 = (x^2)^2 is always nonnegative. So (-2x+1)^4 >= 0. The coefficient -10a is either positive or negative depending on the value of 'a'. If a > 0, then -10a is negative. Making h ' (x) negative. So in this case, h(x) is monotonically decreasing always. On the flip side, if a < 0, then h ' (x) is monotonically increasing as h ' (x) is positive.

-------------------------------------------------------------

Part C. What this is saying is basically "if we change 'a' and/or 'b', then the extrema will NOT change". So is that the case? Let's find out

To find the relative extrema, aka local extrema, we plug in h ' (x) = 0
h  ' (x) = -10a(-2x+1)^4
0 = -10a(-2x+1)^4
so either
-10a = 0 or (-2x+1)^4 = 0
The first part is all we care about. Solving for 'a' gets us a = 0. 
But there's a problem. It's clearly stated that 'a' is nonzero. So in any other case, the value of 'a' doesn't lead to altering the path in terms of finding the extrema. We'll focus on solving (-2x+1)^4 = 0 for x. Also, the parameter b is nowhere to be found in h ' (x) so that's out as well. 
6 0
3 years ago
What is the exponential expression for the numerical expression ​14⋅14⋅14⋅14​?
SVEN [57.7K]

It may be 1^4 ............................

7 0
2 years ago
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