MATHEMATICS HIGH SCHOOL

Simplify (x^2y)^3.
ASAP please

Answers

Answer 1
Answer: When you raise an exponent to an exponent, you multiply them
{x}^{ {(2y)}^(3) } = {x}^(2y * 3) = \boxed{ {x}^(6y) }

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What is the quotient of 4 2/3÷ 6
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What percentage is 4 month of a year​

Answers

Answer:

33.33%

Step-by-step explanation:

Year has 12 months.

4 ÷ 12 = 0.3333

0.3333 × 100% = 33.33%

A rectangular pool measures 10m by 5m. A deck, of uniform width, is to be built all the way around the pool such that the total area of the pool and deck will be126m2 . Set up and solve a quadratic equation to determine the width of the deck.

Answers

Answer:

The width of the deck is 2m .

Step-by-step explanation:

Let the width of the pool be represented by w. As stated in the problem a deck of uniform width is to be built so the total width of the pool and deck will be w+w = 2w.

Now the total dimensions can be taken as

10m+ 2w and 5m + 2w of both the pool and deck.

Area = length * breadth

126m ²= (10m+ 2w) ( 5m + 2w )

126= 50 + 30 w+ 4w²

0= 50 -126+ 30 w+ 4w²

0 = 30 w+ 4w²- 76

Taking 2 as common

0= 2( 15 w+ 2w² - 38)

2w²+ 15 w - 38= 0

The above equation is the quadratic equation and can be solved as follows.

a= 2 , b= 15 and c= -38

b= -b±√b²- 4ac/2a

Putting the values

b= - 15±√15²- 4( 2)(-38)/2(2)

b= - 15± 23/4

b= - 38/4 or 8/4

b= 2 m

The width cannot be negative so we ignore the negative value

The width of the deck is 2m .

The can be checked by putting the value in the original equation.

126m ²= (10m+ 2w) ( 5m + 2w )

126m ²= (10m+ 2(2)) ( 5m + 2(2) )

126m ²= (10m+ 4) ( 5m + 4 )

126m ²= 14*9

126m ²= 126m ²

How do I factor 2y^2 - y - 10

Answers

2y^2 - y - 10=2y^2+4y-5y-10=2y(y+2)-5(y+2)=\n\n=(y+2)(2y-5)

Alison wants to find out how much time people spend reading books. She is going to use a questionnaire.Design a suitable question for Alison to use in her questionnaire.

Answers

Well, for her questionnaire she could use and create questions or queries that are obviously related to her hypothesis or study. These could be done in a likert type of scale.
1.       I read most often.
a.       Strongly Agree b.      Agree c.       Disagree d.      Strongly Disagree

2.       When I read my books its takes me 24 hours a day
a.       Strongly Agree b.      Agree c.       Disagree d.      Strongly Disagree

3.       When I start reading I can’t stop
a.       Strongly Agree b.      Agree c.       Disagree d.      Strongly Disagree



How many degrees is 15/16pi radians?a. 84.375°
b. 93.75°
c. 168.75°
d. 3377.5°​

Answers

Answer:

192 Degrees

Step-by-step explanation:

I would say c. its the closest

Find the midpoint of AB
if A( -3, 8 ) and B( -7, -6 ).

Answers

Answer:

(-5,1)

Step-by-step explanation:

x = (-3+(-7)/2 = -10/2 = -5

y = (8 +(-6)/2 = 2/2 = 1

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