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JulsSmile [24]
4 years ago
10

What is the value of the expression 12C7 ?

Mathematics
1 answer:
tangare [24]4 years ago
5 0

C^7_{12}={{12}\choose{7}}=\dfrac{12!}{7!(12-7)!}=\dfrac{7!\cdot8\cdot9\cdot10\cdot11\cdot12}{7!\cdot5!}=\dfrac{8\cdot9\cdot10\cdot11\cdot12}{1\cdot2\cdot3\cdot4\cdot5}\\\\=8\cdot9\cdot11=792

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Edna buys a bottle of dog shampoo that costs 3.99$. The bottle contains 28.5 ounces of shampoo. What is the cost per ounce of sh
Helen [10]

Answer: $0.14 per ounce

Step-by-step explanation:

There are 28.5 ounces of shampoo in the shampoo bottle and the cost of the whole bottle is $3.99.

The cost per ounces will therefore be:

=  Cost of bottle / Number of ounces

= 3.99 / 28.5

= $0.14 per ounce

8 0
3 years ago
4x+27=10x-33 how to answer it
Nikolay [14]

-6x +27 = -33

-6x = -60

x = 10

4 0
3 years ago
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RideAnS [48]
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5 0
3 years ago
Given the geometric sequence where a1=3 and the common ratio is -1, what is the domain for n?
erik [133]

Answer:

  natural numbers

Step-by-step explanation:

As it is for any sequence, the domain of term numbers (n) is the positive integers, the natural numbers.

_____

When the common ratio is positive, the expression for the n-th term can be evaluated for non-integer values of n. In the context of "term number n", that makes no sense, but you can do it.

When the common ratio is negative, you can also evaluate the expression for the n-th term for non-integer values of n. In such cases, you get a complex number result. That, too, makes no sense in the context of a sequence, but you can do it.

In general, the domain of any "n' that represents something being counted, the domain of n will be the counting numbers.

7 0
4 years ago
X + y = -1<br> X - y = 7
enyata [817]
1: Solve for either x or y in one of the equations. So x + y = -1 is y = -x -1
2: substitute the new equation in the opposite equation. So x - (-x - 1) = 7
3: distribute the negative. X + x + 1 = 7
4: combine like terms. 2x + 1 = 7
5: solve for x. Subtract 1 on both sides. 2x = 6
6: divide by 2 to get x by itself. X = 3
7: plug the new value of x into one of the ORIGINAL equations. 3 + y = -1
8: solve for y. Subtract 3 on both sides.
Y = -4
9: the solution is written as (x,y) so the solution would be (3, -4)
4 0
4 years ago
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