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4 years ago

(x^3y^6)(10x^4y^8)(xy)=

Mathematics

2 answers:

Nutka1998 [239]4 years ago

5 0

$(x^3y^6)(10x^4y^8)(xy)=10x^{3+4+1}y^{6+8+1}=\boxed{10x^8y^{15}}$

ryzh [129]4 years ago

4 0

$(x^3y^6)(10x^4y^8)(xy) \\ \\ =10 x^{(3+4+1)} y^{(6+8+1)}=10 x^{8} y^{15}$

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You need to put your reindeer, Lancer, Prancer, Gloopin, and Bloopin, in a single-file line to pull your sleigh. However, Prance

marysya [2.9K]

Answer:

P43=4!(4–3)!=241=24

Step-by-step explanation:

There are four choices you can make for the lead reindeer. For each possible choice, there are then three remaining you can choose to fly second, making 4×3=12 choices for the lead pair. For each possible choice there are two remaining reindeer to take up the back position, making 12×2=24 choices for the team of three.

This type of problem is called a permutation problem, and we write Pnr for the number of ways of choosing r items from n possibilities when the order of the items matters. In this case we are choosing 3 reindeer from 4 possibilities, and the order they appear in the flying line does matter, so the answer we want is P43. The general formula is Pnr=n!(n−r)!. For the answer we are looking for we therefore have:

P43=4!(4–3)!=241=24

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3 years ago

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Ket [755]

Answer:

false

Step-by-step explanation:

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3 years ago

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An experiment consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be >3

liraira [26]

Answer: $\bold{\dfrac{5}{12}}$

<u>Step-by-step explanation:</u>

greater than 3 means the sum is either 4, 5, or 6.

There are 15 permutations that meet the criteria:

(1, 3), (1, 4), (1, 5), (1,6)

(2, 2), (2, 3), (2, 4), (2, 5), (2,6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3,6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4,6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6,6)

There are 6²= 36 total permutations for 2 dice.

$Probability=\dfrac{\#\ of\ permutations> 3}{total\ \#\ of\ permutations}\\\\.\qquad \qquad =\dfrac{15}{36}\\\\.\qquad \qquad =\dfrac{5}{12}\\\\$

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3 years ago

9-3 divided by 1/3 +1

Andrei [34K]

Nine thirds? If so its would be 9/3 / 1/3?

The answer would be 1/3 / 1/3+1 making it 2/3

Im not sure so dont take my word

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3 years ago

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

defon

Answer:

Price of widget to break even= $37.9

Step-by-step explanation:

We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;

y = -8x² + 348x - 1705

Now, the company will break even when it has made no profit. That is when, y = 0

Thus;

0 = -8x² + 348x - 1705

Rearranging,

8x² - 348x + 1705 = 0

Using quadratic formula ;

x = [-b ± √(b² - 4ac)]/2a

x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)

x = $5.63 or $37.87

We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.

We are told to approximate to nearest cent. Thus,

Price of widget = $37.87 ≈ $37.9

7 0

4 years ago