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irina1246 [14]
3 years ago
10

I'am thinking of two numbers. The difference of the two numbers is 36. Their sum is 286. What are the two numbers?

Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0
The numbers you are thinking of are 161 and 125.
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A line has a rise of 3 and a run of 12. find the slope of the line. type a numerical answer in the space provided. if necessary,
muminat
The slope is always going to be rise over run so the answer is 3/12 but in simplest form it is 1/4
7 0
3 years ago
HELP ASAP PLEASE:<br> What is m∠K?
Molodets [167]

Answer:

55 degrees

Step-by-step explanation:

180-122=58

58+67=125

180-125=55

6 0
3 years ago
Read 2 more answers
Find a compact form for generating functions of the sequence 1, 8,27,... , k^3
pantera1 [17]

This sequence has generating function

F(x)=\displaystyle\sum_{k\ge0}k^3x^k

(if we include k=0 for a moment)

Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k

Take the derivative to get

\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k

\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k

Take the derivative again:

\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k

\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k

Take the derivative one more time:

\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k

\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k

so we have

\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}

5 0
3 years ago
ILL GIVE BRAINLEST Determine whether the two angles in each figure are complementary, supplementary, or neither
Firdavs [7]

Answer:

Step-by-step explanation:

If the sum of two angles = 180°

Then the pair of angles will be supplementary.

If the sum of two angles = 90°

Then the pair of angles will be complementary.

Sum of angles having measures 98° and 82° = 98° + 82°

                                                                          = 180°

Therefore, both the angles will be supplementary.

Sum of angles having measures 134° and 36° = 134° + 36°

                                                                            = 170°

Therefore, these angles are neither supplementary nor complementary.

So the answer is NEITHER.

8 0
3 years ago
A rectangular picture frame has an area of 45 square inches. If it has a length of 7 and 1/2 inches, what is its width?
svetlana [45]

Answer:

<h2>6</h2>

Step-by-step explanation:

To find the width/length when you know the area and the length or width, you just divide the area by the known side.

45/7.5 = 6

7 0
3 years ago
Read 2 more answers
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