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Ugo [173]
4 years ago
13

Convert 45 miles/h equals how many ft/sec

Mathematics
1 answer:
nlexa [21]4 years ago
8 0
Can you show your original question
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Find the absolute maximum and minimum values of the following function in the closed region bounded by the triangle with vertice
alukav5142 [94]

f(x,y)=2x^2-8x+y^2-8y+2

f_x(x,y)=4x-8=0\implies x=2

f_y(x,y)=2y-8=0\implies y=4

There is one critical point at (2, 4), but this point happens to fall on one of the boundaries of the region. We'll get to that point in a moment.

Along the boundary x=0, we have

f(0,y)=y^2-8y+2=(y-4)^2-14

which attains a maximum value of

f(0,4)=-14

Along y=44, we have

f(x,44)=2x^2-8x+1586=2(x-2)^2+1578

which attains a maximum of

f(2,44)=1578

Along y=2x, we have

f(x,2x)=6x^2-24x+2=6(x-2)^2-22

which attains a maximum of

f(2,4)=-22

So over the given region, the absolute maximum of f(x,y) is 1578 at (2, 44).

8 0
3 years ago
Write the number 1/10,000,000 as a power of 10 using a negative exponents
allochka39001 [22]

First, convert into a decimal:

1/10,000,000 = 0.00000001

Next, convert to "the number with a power of 10 using a negative exponent. Move the decimal point to the first <em>number that is not 0</em> (sorry, there is a term for it, but i can't remember it right now, but it is not important to solving the answer)

0.000001 = 1 * 10^-7

1 * 10^-7 is your answer


~

8 0
4 years ago
PLEASE HELP DUE TONIGHT! 100 PTS
Naily [24]

Answer:

a. $15.00

b. $15.00

c. they earn the same. If you divide Carl's hours by the amount of time he works, for instance, 45÷3=15, you get 15 for all of them. They earn the same.

7 0
3 years ago
Read 2 more answers
Aaron buys 3 ties for $19.95 each, a belt for $23.50, and a pair of boots for $124.95. The sales tax in his city is 5%, To the n
Rina8888 [55]
(3x19.95+23.5+124.95)1.05=
59.85+23.5+124.95 =208.3
208.3×1.05=218.715
4 0
3 years ago
Which equation can be used to find the perimeter of a regular pentagon with sides of length 15 inches?
tresset_1 [31]
The perimeter means the sum of all sides.
So, In pentagon, it would be: 5(15)   [ With five sides ]

In short, Your Answer would be Option C

Hope this helps!
3 0
3 years ago
Read 2 more answers
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