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elixir [45]
2 years ago
5

The setAconsists of nine positive integers, none of which has a prime divisor larger thansix. Prove thatAis guaranteed to contai

n two distinct elements whose product is the squareof an integer.Hint:Any positive integer that does not have a prime divisor larger than 6 can be writtenas 2x13x25x3for integersx1, x2, x3
Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
8 0

Answer:

Step-by-step explanation:

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Cut 9ft piece into 12inch & Every cut remove 1/8 inch
melamori03 [73]
So each foot is 12 inches so to remove 8 feet to get 12 in you need to remove 8 times 12 inches total or 96 in and each cut removes 1/8 in so times 96 by 8 and get 768 total cuts
6 0
3 years ago
A manufacturer of shipping boxes has a box shaped like a cube. The side length is
Debora [2.8K]
The vol. of a cube of side length s is V=s^3.

So, if the side length is 5a+4b, then the volume of the cube is

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7 0
3 years ago
Find the slope of the given line on the graph. REMEMBER: Rise over run! <br> Pls show work!
Leviafan [203]

Answer:

the slope is -\frac{1}{3}

Step-by-step explanation:

Notice that you are given two points to use for the slope calculation:

(x_1,y_1)=(-4,4) \,\,and\,\, (x_2,y_2)=(5,1)

So we use the formula for the slope of a line given two points:

slope\,=\,\frac{y_2-y_1}{x_2-x_1} \\slope\,=\,\frac{1-4}{5-(-4)} \\slope\,=\,\frac{-3}{9} \\slope\,=\,-\frac{1}{3} \\

3 0
3 years ago
Grandma has just finished baking a large rectangular pan of brownies. She is planning to make rectangular pieces of equal size a
Nikitich [7]

Answer: 60

Step-by-step explanation:

Let the side lengths of the rectangular pan be m and n. It follows that (m-2)  (n-2)= mn/2

So, since haf of the brownie pieces are in the interior. This gives 2 (m-2) (n-2) =mn

mn- 2m - 2n- 4 = 0

Then Adding 8 to both sides and applying, we obtain (m-2) (n-2) =8

Since now, m and n are both positive, we obtain (m,n) = (5,12), (6,8) (up to ordering). By inspection, 5. 12 = 60

which maximizes the number of brownies in total which is the greatest number.

Hope that helped! =)

7 0
3 years ago
PLease solve for n I dont know how to do it
rewona [7]

Answer:

37

Step-by-step explanation:

6 0
3 years ago
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