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geniusboy [140]
3 years ago
15

What is the 3rd root of 125

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

its five

Step-by-step explanation:

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Find the value of $c$ that makes $x^2+20x+c$ a perfect square trinomial. $c=$ Write the expression as the square of a binomial.
horrorfan [7]

9514 1404 393

Answer:

  • c = 100
  • (x +10)²

Step-by-step explanation:

The square of a binomial is ...

  (x +a)² = x² +2ax + a²

Comparing this to your expression, we have ...

  2a = 20 . . . . x-coefficient

  a² = c . . . . . . constant term

Then ...

  a = 20/2 = 10

  a² = 10² = 100 = c

The square is then ...

  (x +10)²

5 0
3 years ago
Read 2 more answers
A political polling organization wishes to select a smaller focus group from a group of 7 Republicans, 10 Democrats, and 2 Indep
Alina [70]

Answer:

a) 1470 ways

b) 2835 ways

Step-by-step explanation:

the question is not correct, in the correct question The number of independents should be 3 not 2

there are 7 republicans, 10 democrats and 3 independents.

C(n,r) is the number of different combinations of n distinct objects taken r at a time.

C(n,r) = \frac{n!}{(n-r)!r!}

a) it will consist of 1 Republican and 4 Democrats

The number of ways this can be chosen is = C(7,1) × C(10,4) = \frac{7!}{(7-1)!1!}  * \frac{10!}{(10-4)!4!} = 7 × 210 = 1470 ways

(b) it will consist of 2 Republicans, 2 Democrats, and 2 Independents (consist of 2 independents not 3)

The number of ways this can be chosen is = C(7,2) × C(10,2) × C(2,2)

 =\frac{7!}{(7-2)!2!}  * \frac{10!}{(10-2)!2!}* \frac{3!}{(3-2)!2!} = 21 × 45 × 3 = 2835 ways

7 0
3 years ago
10 points. Look at the image.
Alex787 [66]
Suprising saying other site names is actually *random gibrish that nobody can understand and so the admin bots delete the question for no reason*
5 0
3 years ago
HELP!!!!!! An Instagram photo is measured ″ 4″ by ″ 4″. A poster enlargement is being printed with a scale factor of 8.5. What i
Anika [276]

The given measurement of the Instagram photo is "4" by "4". And a poster enlargement is being printed with a scale factor of 8.5 .

So on using the scale factor of 8.5 , lengths of new sides are "8.5 *4" by "8.5 *4"

= " 34" by "34" .

So the new lengths of the enlarged pictures are of dimension "34" by "34" .

7 0
3 years ago
Read 2 more answers
2. Gerald was given the following problem to solve for the length of the "?". He has made a mistake in his work.
Degger [83]

Answer:

x = 18.7

Step-by-step explanation:

Gerald's answer is almost correct.  

He just needs to switch the 14 and the x.

it should be

24/x = 18/14

solve for x by cross multiplication

18x = (24)(14)

18x = 336

x = 18.7

5 0
3 years ago
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