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Amanda [17]
2 years ago
9

If B is the midpoint of AC and the length of AC is 23.8, what is the length of AB

Mathematics
1 answer:
stira [4]2 years ago
6 0
So in order to find the answer you would have to multiple 23.8 by 1/2
So the answer would be 11.9
Hope this helps
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Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an
Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as V=g(x), where g(x)=x(6-2x)(8-2x) and 0\le x\le3.

Expand the function to obtain:

g(x)=4x^3-28x^2+48x

Differentiate  wrt  x to obtain:

g'(x)=12x^2-56x+48

To find the point where the maximum value occurs, we solve

g'(x)=0

\implies 12x^2-56x+48=0

\implies x=1.13,x=3.54

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

g''(x)=24x-56, g''(1.13)=24(1.13)-56=-28.88\:

This means the maximum volume occurs at x=1.13.

Substitute x=1.13 into g(x)=x(6-2x)(8-2x) to get the maximum volume.

g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0
3 years ago
Penny gets paid $12 per hour to work at the coffee shop: The amount of money she earns depends on the number of hours she works.
prisoha [69]

Answer:

B- The dependent variable is the amount of money she earns, and the independent variable is the number of hours she works.

Step-by-step explanation:

The amount of money she earns depends on how many hours she works, making that the dependant variable.

6 0
3 years ago
-3x - 3y - z= -6
kifflom [539]

Answer:

Ammm, I think the answer you have is wrong, but what I really think is that the equations you put in are not the right ones because the answer for these is "ugly" (decimals etc...). Want to check your equations?

Step-by-step explanation:

Here is a step by step explanation to your equations (I assumed +3z for the second but you can change it). You can edit it for your equations if you want to.

https://simplisico.com/share/q/QiWKOyN5uYgkSG4iBXOmdG0i

5 0
2 years ago
Multiply.<br> Your answer should be a monomial in standard form.<br> (-9n^3)(n^3)
ratelena [41]

Answer:

-9n^6

Step-by-step explanation:

(−9n^3)(n^3)

=(−9) * n^3 * n^3

=−9 * n^6

=−9n^6

5 0
3 years ago
You are choosing between two health clubs. Club A offers membership for a fee of $12 plus a monthly fee of $28. Club B offers me
EleoNora [17]

A has fixed one time fee of $12 and if you go to it say "m" months you pay $28 for each month, so your total cost at A is really 12 + 28m.

B has a fixed one time fee of $20 and if you go to it "m" months you pay $26 for each month, so you total cost at B is 20 + 26m.

how many months for the cost to be the same?

\stackrel{A}{12+28m}=\stackrel{B}{20+26m}\implies 12+2m=20\implies 2m=8\implies m=\cfrac{8}{2}\implies m=4

well, since the cost for both is the same, we can just get A's, knowing that B is the same

12+28(4)\implies 12+112\implies 124

5 0
2 years ago
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