Find the area of the rectangle with a length of (x^2-2) and a width of (2x^2-x+2)

Answers

Answer 1

Answer: area=legnth times width

so multiply them together use distributive property
a(b+c)=ab+ac so
in this problem
(a+b)(c+d+e)=(a+b)(c)+(a+b)(d)+(a+b)(e)

so
x^2-2 times (2x^2-x+2)=(x^2)(2x^2-x+2)-(2)(2x^2-x+2)=(2x^4-x^3+2x^2)-(4x^2-2x+4)
add like terms
2x^4-x^3+(2x^2-4x^2)-2x+4
2x^4-x^3-2x^2-2x+4

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Write three powers with whole-number bases that have values greater than 120 and less than 130. The three powers, in order from least to greatest, are , , and .

Answers

Answer:

11²= 121

5³= 125

2⁷= 128

Step-by-step explanation:

The whole numbers can be multiplied with themselves to get numbers between 120 and 130 .

For example

11*11= 121

This can be written in the exponent form as

11²= 121 which is between 120 and 130.

Also

5*5*5= 125 or

5³= 125 which is also between 120 and 130.

and

2*2*2*2*2*2*2= 128

2⁷= 128 which is between 120 and 130 as required.

We see that as the powers or exponent increases the whole number is decreased.

Six mobsters have arrived at the theater for the premiere of the film "Goodbuddies." One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the six arrange themselves in line such that Frankie’s requirement is satisfied?a. 6
b. 24
c. 120
d. 360
e. 720

Answers

Answer:

D = 360

Step-by-step explanation:

Number of monsters that arrive at the theater = 6

Total number of arrangement for the 6 mobsters = 6!

= 6*5*4*3*2*1

= 720

The chance that Frankie will be behind Joey is half while the chance that Joey will be behind Frankie is half.

Since Frankie wants to stand behind joey in the line though not necessarily behind him, the arrangement can be done in 6!/2 ways

= (6!) 1/2

= 720/2

= 360 ways

What is the simplified expression for 5 a b + 9 a b minus a b?

Answers

Answer:

13ab

Step-by-step explanation:

5ab+9ab-ab=ab(5+9-1)=13ab

If 5 beads weigh 30 grams, how many beads weigh 48 grams?

Answers

if 5 grams weigh 30 then each gram weigh 6 grams 5x6=30 so 48 grams would weigh 8 48x8=384

A single bead weighs 6 grams, so 8 beads would weigh 48 grams.

A teacher is covering a bulletin board with fabric. He has a piece of material that is 2 yards long and 36 inches wide. What size bulletin board can he cover with the material?

Answers

36'' = 1 yard
The teacher can cover a bulletin board with size 2 yards^2

Well to start our problem we need to find the information that is most important. 2 yards and 36 inches wide, and "What size bulletin board can he cover with the material?". Now that we have our information we can figure this out : 36 : 1y yard so 2y by 36in aka 2/36, so......our work can lead us too : 2 yards *squared* or 2 yards^2. Hopes I helped!

Question answer now please

Answers

A certain clock requires a weight lifted up once a day. The weight provides the energy that allows the clock to keep running. Identify the transformation of that powers a grandfather clock.

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