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maw [93]
2 years ago
9

Problem 2 Find all the divisors of the number 2,310. How do you know that you found them all?​

Mathematics
1 answer:
elena-s [515]2 years ago
8 0

9514 1404 393

Answer:

  1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42,

  55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310

Step-by-step explanation:

The trailing digit is 0, and the sum of digits is 6, so we know the number is divisible by 2, 3, 5. Dividing out those factors, we get a quotient of 77, which is 7×11. This means the prime factorization is ...

  2×3×5×7×11 = 2310

There are 5 prime factors, each with an exponent of 1, so the total number of divisors is 2^5 = 32. We will have found them all when all 32 are listed.

  1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42,

  55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310

Of course, the pairwise products working toward the center from the ends of the list are all 2310.

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Please help and explain.
Alexandra [31]

Answer:

-1/3

Step-by-step explanation:

Use the formula, (y2 - y1)/(x2 - x1).  In this case, there is a negative slope.  

Start from point, (1, 9) and go to point (4, 8).  

Use the formula:

(y2 - y1)/(x2 - x1)

Y2 = 8

Y1 = 4

X2 = 9

X1 = 1

(8 - 9)/(4 - 1) = -1/3

Therefore, the slope is -1/3

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2 years ago
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Ivahew [28]

Answer:

x = 121°

Step-by-step explanation:

The angle supplementary to 115° is 180 - 115 = 65° and the angle that forms a full circle with 304° is 360 - 304 = 56°. Since the measure of an exterior angle is equal to the sum of its remote interior angles, we know that x = 65 + 56 = 121°.

7 0
3 years ago
dr. wong can see 9 patients in 3 hours, at this rate how long willl it take dr too see 72 patients?  PLEASE HELP!!!
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Given the relation {(1, 4), (3, 6), (5, 4), (1, 8)},
skelet666 [1.2K]

Answer:

The domain of relation is {1,3,5}

It is not a function.

Step-by-step explanation:

Given the relation {(1, 4), (3, 6), (5, 4), (1, 8)}

We need to find the domain and determine if the given relation is function or not.

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But the given relation is not function because we have x=1 twice in the relation and the for the relation to be function the values of domain can't be repeated.

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