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NemiM [27]
2 years ago
12

What is the greatest common factor of 36 and 42?

Mathematics
1 answer:
Pani-rosa [81]2 years ago
6 0

Answer:

hello im not doing your answer for you do it yourself

Step-by-step explanation:

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A lidless box is to be made using 2m^2 of cardboard find the dimensions of the box that requires the least amount of cardboard
Jlenok [28]
1.8, Problem 37: A lidless cardboard box is to be made with a volume of 4 m3 . Find the dimensions of the box that requires the least amount of cardboard. Solution: If the dimensions of our box are x, y, and z, then we’re seeking to minimize A(x, y, z) = xy + 2xz + 2yz subject to the constraint that xyz = 4. Our first step is to make the first function a function of just 2 variables. From xyz = 4, we see z = 4/xy, and if we substitute this into A(x, y, z), we obtain a new function A(x, y) = xy + 8/y + 8/x. Since we’re optimizing something, we want to calculate the critical points, which occur when Ax = Ay = 0 or either Ax or Ay is undefined. If Ax or Ay is undefined, then x = 0 or y = 0, which means xyz = 4 can’t hold. So, we calculate when Ax = 0 = Ay. Ax = y − 8/x2 = 0 and Ay = x − 8/y2 = 0. From these, we obtain x 2y = 8 = xy2 . This forces x = y = 2, which forces z = 1. Calculating second derivatives and applying the second derivative test, we see that (x, y) = (2, 2) is a local minimum for A(x, y). To show it’s an absolute minimum, first notice that A(x, y) is defined for all choices of x and y that are positive (if x and y are arbitrarily large, you can still make z REALLY small so that xyz = 4 still). Therefore, the domain is NOT a closed and bounded region (it’s neither closed nor bounded), so you can’t apply the Extreme Value Theorem. However, you can salvage something: observe what happens to A(x, y) as x → 0, as y → 0, as x → ∞, and y → ∞. In each of these cases, at least one of the variables must go to ∞, meaning that A(x, y) goes to ∞. Thus, moving away from (2, 2) forces A(x, y) to increase, and so (2, 2) is an absolute minimum for A(x, y).
5 0
3 years ago
HELP MEEE PLSSSS PLSSS
RideAnS [48]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Emma buys packets of coloured beads.
Black_prince [1.1K]

Answer:

5 purple beads

8 red beads

4 blue beads

Step-by-step explanation:

Find the common factor of 8 5 and 10

Which is 40

8 * 5 = 40

5 * 8 = 40

4 * 10 = 40

8 0
3 years ago
Find the area of this figure
barxatty [35]

Answer:

165

Step-by-step explanation:

Put the extra half rectangle in the empty space. It will end up being a perfect rectangle, then you did the area like you usually do..:

22 x 7.5.    

=165

Good luck, hope i helped

6 0
2 years ago
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Tom and Jerry enter a race. Tom runs an average of 10 kilometers per hour, and Jerry runs an average of 9 kilometers per hour. I
Zielflug [23.3K]
I am almost positive that the answer is 45 km
4 0
3 years ago
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