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3 years ago

Simplify the expression. (16y^5/y^3)12 Enter your answer in the box

Mathematics

1 answer:

lesya [120]3 years ago

5 0

Hello :
 (16y^5/y^3)×12 =(16y²)(12) = 192y²

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Simplify (3^3 x 5^3)^-2

MatroZZZ [7]

(3^3 x 5^3)^-2

3^-6 x 5^-6

15^-6

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3 years ago

Which is the height of the triangle 12 times 27

kykrilka [37]

4.24 height is the answer

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3 years ago

Saira weights 25 pounds more than umbar . If together they weight 205 pounds. What is the weight of saira

goblinko [34]

To solve this, you can create an equation. Say the weight of Umbar is x, then Saira weighs x+25. Together they weigh 205. So, you get the equation

x+x+25=205

Then solve for x.

2x+25=205
2x=180
x=90

Then to find Saira's weight, add 25 to Umbar's weight.

90+25=115.

6 0

3 years ago

In a Match 6 Lotto, winning the jackpot requires that you select six different numbers from 1 to 49, and that the same six numbe

zimovet [89]

Answer:

$P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}$

Step-by-step explanation:

Consider the following characteristics of the problem:

The numbers that are selected are different between 1 and 49. This means that the same number is not repeated twice.

The order in which the selected numbers appear does not matter:

This means that (123) = (312)

With this in mind, we know that it is a problem of combinations without repetition. It is not calculated using permutations because in the permutations the order of selection is important, for example: (123) is not equal to (312)

The formula for calculating combinations without repetition is:

$nCr=\frac{n!}{r!(n-r)!}$

Where n is the number of "elements" you can choose and choose r from them

In this case:

n=49

r=6

So:

$49C6=\frac{49!}{6!(49-6)!}$

$49C6=13,983,816\ outcomes$

There are 13,983,816 possible results

This is the best method to calculate the number of possible outcomes.

"Besides your method, is there another method to determine the number of outcomes?"

Sure, make a list of the 13,983,816 different sets of 6 numbers.

To win it is necessary to obtain the 6 winning numbers in any order. The number of ways this can occur is calculated by combining 6 in 6

$6C6=\frac{6!}{6!(6-6)!}=1$

Finally the probability of winning is:

$P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}$

Note that the probability of winning is very close to 0. It is practically impossible to win the lottery, you will probably never win anything. Therefore it is better not to invest money in this

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3 years ago

What is the rate of change between the point (0,0)and (2,100)

Ivenika [448]

The answer would just be 50/1 or just 50

8 0

3 years ago