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Papessa [141]
4 years ago
13

Help me please thank you

Mathematics
1 answer:
stepladder [879]4 years ago
7 0

Answer:

The number is 7.

Step-by-step explanation:

First, use the inverse operation of multiplication, which is division. Then, divide 42 by 6, and you get 7. To prove this, multiply 7 by 6, and you get 42.


I hope this helped! :)

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How many 10-digit ternary strings are there that contain exactly two 0s, three 1s, and five 2s?
Svet_ta [14]

There are \dbinom{10}2 ways of picking 2 of the 10 available positions for a 0. 8 positions remain.

There are \dbinom83 ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's \dbinom55=1 way of doing that.

So we have

\dbinom{10}2\dbinom83\dbinom55=\dfrac{10!}{2!(10-2)!}\dfrac{8!}{3!(8-3)!}\dfrac{5!}{5!(5-5)!}=2520

The last expression has a more compact form in terms of the so-called multinomial coefficient,

\dbinom{10}{2,3,5}=\dfrac{10!}{2!3!5!}=2520

5 0
3 years ago
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Vanyuwa [196]

Answer:

11in

Step-by-step explanation:

a^2+b^2=c^2  when c is the hypotenuse

10^2+sqrt21^2=c^2

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4 0
4 years ago
Read 2 more answers
A square has side length 3 units. What is the length of the diagonal?
ella [17]

9514 1404 393

Answer:

  C. 3√2 units

Step-by-step explanation:

The diagonal of a square is √2 times the side length. For a square with side length 3, the diagonal is 3√2.

__

If you like, you can see this using the Pythagorean theorem.

  d² = s² + s² . . . . . where d is the diagonal, and s is the side

  d² = 2s²

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For s=3, ...

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4 0
3 years ago
If you have 14 1/2 dozen boxes of envelopes, and you order 3 1/4 dozen more, how many dozen boxes will you have in all?
Elanso [62]

The answere is 213 boxes

If you add 3 dozens to 14 dozens of boxes of envilopes , then you get 17 dozens of boxes of envilopes.Then of you sum up the 1/2 (2/4 ) with the 1/4.You get 3/4. Finally, you add 17 dozens to 3/4 of a dozen you get 17 3/4 dozens( wich is 213 boxes )

5 0
4 years ago
If one function has slope of 2 and another has -4, which has a greater rate of change
Viefleur [7K]

Answer:

-4

Step-by-step explanation:

8 0
3 years ago
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