What does (-9)^-2 mean?

Answers

Answer 1
Answer: it means -9 times -9 all under 1 so
1/(-9^2)=(-9)^-2

so the answer is 1/81

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Write y = –2/3x + 7 in standard form using integers. 2x + 3y = 21 3x – 2y = 21 –2x – 3y = 21 –2x + 3y = 7
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A bowl contains 4 red marbles and 3 yellow marbles. Tim randomly draws 3 red marbles from the bowl. He replaces each marble after it is drawn. What is the probability that he draws 2 yellow and 1 red?

Answers

So,

The probability of drawing a yellow marble is (3)/(7).
Since he replaces the marble after it is drawn out, the probability of drawing another yellow is the same: (3)/(7).

The probability of drawing a red marble is (4)/(7).

In order to get the probability of drawing 2 yellow marbles and 1 red marble, given that each marble is replaced after it is drawn out, we must multiply the fractions together.

( (3)/(7) )( (3)/(7) )( (4)/(7) ) =  (36)/(343)

Because the order of the marbles doesn't matter, we will multiply the probability by 3.
3( (36)/(343) ) =  (108)/(343)

Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfiction works. Also, 40 of the male authors write only nonfiction works. Assuming that your library has only one book by each author, what is the probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man?

Answers

The chances of finding either a work authored by a woman or a work written by a man in a book chosen at random are 25/33.

What is the probability?

Probability is synonymous with possibility. It is concerned with the occurrence of a random event. Probability can only have a value between 0 and 1.

The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is found as;

\rm P = (40 \  \% \  of  \ 165 + 60 \%  \ of  \ 165 -40  )/(165) \n\n\ P= (25)/(33)

Hence the chances of finding either a work authored by a woman or a work written by a man in a book chosen at random are 25/33.

To learn more about probability, refer to the link: brainly.com/question/795909

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Answer:

The correct answer is C. 25/33.

Step-by-step explanation:

I got it right on the Edmentum test.

How can you recognize whether a real-world situation should be represented by an equation or an inequality?PLEASE HELP!!!

Answers

An equation:
It is used to express exact values.
Therefore, we will use an equation when when know that the quantity given is strictly equal to a given value.
Examples:
1- Price of a kilo of apples is $2 
This is translated as ........> cost of 1 kilo = $2
2- The length of a ruler is 30 cm
This is translated as ......> length = 30 cm

An inequality:
It is used to show relation or compare between a quantity and a value. Therefore, we use it when we find keywords as "at least, at most, greater than, less than, ..... etc"
Example:
1- The distance between two cities is at least 20 miles.
This means that the distance can be 20 miles or more
This is translated as:
distance ≥ 20 miles

Hope this helps :)

Well, I guess you can tell by looking for some key words.

You use an equation when the situation has words like
-- is
-- equals
-- same as
-- results in .

You use an inequality when the situation involves words like
-- more
-- most
-- less
-- least
-- at least
-- no more than .

The French club is sponsoring a bake sale. If their goal is to raise at least $135, how many pastries must they sell at $2.50 each in order to meet that goal? Write and solve an inequality.A. 2.50p ≥ 135; p ≥ 337.5

B. 2.50p ≥ 135; p ≥ 54

C. 2.50p ≥ 135; p ≥ 132.5

D. 135p ≥ 2.50; p ≥ 54

Answers

Answer:

2.50p ≥ 135 , p ≥ 54.

Thus, option (B) is correct.

Step-by-step explanation:

Given: The French club is sponsoring a bake sale and their goal is to raise at least $135.

We have to find the number pastries they must sell at $2.50 each in order to meet the given  goal.

Let p be the number of pastries baker sales.

Then cost of p pastries at $2.50 each is 2.50p

and the  goal is to raise at least $135  (135 or more than 135)

Thus, inequality becomes,

2.50p ≥ 135

Solving inequality,

Divide both side by 2.50, we have,

(2.50p)/(2.50)\ge (1350)/(2.50)

Simplify, we have,

p ≥ 54.

Thus, option (B) is correct.

Answer:

B

Step-by-step explanation:

Gradpoint

A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and twenty-one more quarters than dimes. How many coins of each did she return?

Answers

On Solving  equation in one variable 0.4x = 5.2, we found that the clerk returned 13 dimes, 34 quarters and4 nickels in change of $10 bill.

What is an linear equation in one variable?

Linear equation is an equation containing one variable with power one and constants.

Standard form of an linear equation in one variable x is :

ax + b= 0 ,  a, b are constants

x= -b/ a is solution if this equation. Linear equation can be solved by adding or subtracting , multiplying , division same number to both sides.

A clerk need a change of $10 bill

Let the clerk returned x dimes and y nickels and z quarters to pay $10

Value of one nickel =  $ 0.05, one dime = $ 0, one quarter = $ 0.25

Value of x dimes becomes 0.1x

Value of y nickels  becomes 0.05 y

value of z quarters becomes  0.25 z

Total value of given dimes, quarters and nickels , 0.1 x + 0.05 y + 0.25z = 10

Number of dimes = Number of nickels + 9

∴ x = y +9 ⇒ y = x- 9

Number of quarters = Number of dimes +21

∴ z = x + 21  

Put y = x-9 and z = x + 21   in 0.1 x + 0.05 y + 0.25z = 10

Then,

0.1 x + 0.05 ( x-9) + 0.25 (x +21) = 10

⇒ 0.1 x +0.05x -0.45 + 0.25 x + 5.25 = 10

⇒ 0.4x +4.8 = 10

⇒ 0.4 x = 10- 4.8

⇒ 0.4x = 5.2

⇒ x = 5.2/0.4 = 13

Thus , y = x-9 = 13 -9 = 4

z = x + 21 = 13 + 21 = 34

Therefore, the clerk returned 13 dimes , 4 nickels and 34 quarters for $10 bill.

Also, learn more about linear equation from the link below:

brainly.com/question/24145091

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quarters. 34×0.25= 8.50
dimes. 13×0.10= 1.30
Nickels. 4×0.05= 0.20
total=10.00


(21×0.25)+(9×0.10)+(4×0.05)+(4×0.10)+(13×0.25)=10

Two satellites are orbiting earth. The path of one satellite has the equation x² + y² = 56 200 000. The orbit of the other satellite is 200 km farther from the centre of the earth. In one orbit how much farther does the second satellite travel than the first satellite?

Answers

x^2+y^2=r^2

r^2=56200000
r=7496.66
r2=200
r-r2=7296.66
answer:7296.66