MATHEMATICS MIDDLE SCHOOL

What is (-1) to the 101 power? Explain how you know and the steps

Answers

Answer 1
Answer:

(-1) ^ 101 is -1

to an even power it would be 1

negative* ( negative ) = positive

to an odd power it is negative

positive * negative = negative

since 101 means there are (-1) *-1.......101 time

it is odd


-1 *-1 =1

this is an even power

1 * -1 = -1

this is an odd power

since 101 is odd

it will be negative

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To solve the equation for x by completing the square what equation is equivalent to x^2-x-2=0here are options for both blanks (The equivalent equation (x-Blank)^2=Blank

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1/4
-1/2
1/2
-9/4
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Answers

so to complete the square in
ax^2+bx+c=d form

make sure a=1
subtract c from both sides
take 1/2 of b and square it
add that to both sides
factor perfect square

1x^2-1x-2=0
a=1
move c to other side
add 2 to oth sides
x^2-1x=2
take 1/2 of b and square it
1/2 of -1=-1/2
squaer it
1/4
add that to both sides
x^2-1x+1/4=2+1/4
factor left side
(x-1/2)=2+1/4

first blank is 1/2

2+1/4=8/4+1/4=9/4

blanks are
1/2 and 9/4

Which transformations could have occurred to map ABCto ABC
a rotation and a reflection
a translation and a dilation
a reflection and a dilation
a ditation and a rotation

Answers

A translation and dilation

The prime factorization of 293 in expanded form

Answers

You've come to the right place. Here is the answer: None, because 293 is a prime number.

Hope I Helped You!!! :-)

Have A Good Day!!!

Answer:

hello

Step-by-step explanation:

Investors buy a studio apartment for $ 150 comma 000. Of this​ amount, they have a down payment of $ 37 comma 500. Their down payment is what percent of the purchase​ price? What percent of the purchase price would anothing ​$67 comma 500 down payment​ be?

Answers

Answer:

First down payment is 25 % of purchase price

Second down payment is 45% of purchase price.

Step-by-step explanation:

Purchase price = $150,000

First down payment is $37,500

     Percentage = 37500/150000

                             0.25 * 100 = 25%

Second down payment is $67,500

      Percentage = 67500/150000

                              0.45 * 100 = 45%

Answer:

The first part of the answer would be 25%. The second part would be 45%

A square dinner napkin 8in. on each side is folded along its diagonal. Find the area of the folded napkin.

Answers

Since you need to find the area of a square napkin, you need to know what the formula for a square is. It is height multiplied by base. So a square is equal in all sides. 8×8=64
Answer: 64 in²

The high school band and chorus are putting on a spring concert. The two groups together want to perform no more than 15 songs and the concert has to be 60 minutes or less in length. Each piece the band performs is about 5 minutes in length. Each piece the chorus sings is about 3 minutes in length. Which system of inequalities best represents the number of songs the band performs (x) and the number of longs the chorus performs (y) for the concert?

Answers

Answer:

Step-by-step explanation:

x = band songs

y = chorus songs

x + y < = 15 (thats less then or equal to)

5x + 3y < = 60 (thats less then or equal)
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