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AfilCa [17]
3 years ago
11

three uses 8 pieces of glass per square foot to make a stained glass window how many pieces of glass will he need to make a wind

ow that is 864 square inches
Mathematics
1 answer:
yanalaym [24]3 years ago
8 0
1 foot<span> = </span>12<span> inches
</span>864/12=72 T<span>he window is 72 square feet.
A man uses </span>8 pieces of glass per square foot to make a stained glass window. So he needs to use 72*8=576 <span>pieces of glass.</span>
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Many calculators have a key that will do this in one step. Mine is one of them. So let's start with the answer and then we'll do it the long way.

9C3 = 84. You put it into your calculator as 9   2nF   nCr 3 =

Solution

\dfrac{9!}{(n - 3)!3!} = \dfrac{9*8*7*6!}{6!*3!}=\dfrac{9*8*7}{6}

3*4*7 = 84 which is what you set out to show.


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3 years ago
Which function has an inverse that is also a function? {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} {(–4, 6), (–2, 2), (–1, 6)
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vagabundo [1.1K]

6)

34, 43, 52, 61, ...

43-34 = 9; 52-43 = 9; 61-52 = 9

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difference:  d = 9

so the formula:

                         a_n=a+d(n-1)\\\\a_n=34+9(n-1)\\\\a_n = 34+9n-9\\\\\underline{a_n=9n+25}

7)

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difference:  d = -4

so the formula:

                         a_n=a+d(n-1)\\\\a_n=10+(-4)(n-1)\\\\a_n = 10-4n+4\\\\\underline{a_n=-4n+14}

8)

-3, -10, -17, -24, ...

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first term:  a = -3

difference:  d = -7

so the formula:

                         a_n=a+d(n-1)\\\\a_n=-3+(-7)(n-1)\\\\a_n =-3-4n+7\\\\\underline{a_n=-7n+4}

9)

7, 8.5, 10, 11.5, ...

8.5-7 = 1.5; 10-8.5 = 1.5; 11.5-10 = 1.5

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first term:  a = 7

difference:  d = 1.5

so the formula:

                         a_n=a+d(n-1)\\\\a_n=7+1.5(n-1)\\\\a_n =7+1.5n-1.5\\\\\underline{a_n=1.5n+5.5}

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30, 22¹/₂, 15, 7¹/₂, ...

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The difference between one term and the next is a constant so it is arithmetic sequence

first term:  a = 30

difference:  d = -7¹/₂

so the formula:

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3 years ago
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