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3 years ago

What is the answer to this question

Mathematics

1 answer:

Gemiola [76]3 years ago

6 0

(6^-2 * 6^5)^-3

Raise each term by -3:

(6^-2)^-3 * (6^5)^-3 =

6^6 * 6^-15

Rewrite the second term using the negative exponent rule:

6^6 * 1/(6^15)

Subtract the exponents

15-6 = 9

The answer is 1 / 6^9 ( The second answer)

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The perimeter of the original rectangle is ______

sergey [27]

Answer:

perimter of original rectangle = 17. 6 mm
side length of the enlarged rectangle = 23. 22 mm
perimeter of the enlarged rectangle = 95. 04 mm

Step-by-step explanation:

PERIMETER OF ORIGINAL RECTANGLE

Length of original rectangle = 4.5 mm
Width of original rectangle = 4.3 mm

perimeter = 2 × ( length + width)

= 2 × ( 4.5 + 4.3)

= 2 × 8.8

= 17. 6 mm

SIDE LENGTH OF ENLARGED RECTANGLE

Width of original rectangle = 4. 5 mm
Width of enlarged rectangle = 24.3 mm

Enlargement factor = 24.3 / 4.5

= 5.4

Length of original rectangle = 4.5 mm
Enlargement factor = 5.4

Side length of enlarged rectangle

= original length × Enlargement factor

= 4.3 × 5.4

= 23. 22 mm

PERIMTER OF ENLARGED RECTANGLE

= 2 × ( enlarged ength + enlarged breadth)

= 2 × (23. 22 + 24. 3 )

= 95. 04 mm

8 0

2 years ago

Evaluate the expression when c=-6

Afina-wow [57]

Answer:

Hi how are you

Step-by-step explanation:

Have a nice day

8 0

3 years ago

Jay needs 19 quarts more paint for the outside of his barn than for the inside. If he uses 107 quarts in all, how many gallons o

love history [14]

Let's use q to represent the number of quarts needed.

you would have the following:

2q= 107-19
2q=88
q=44
44 is the number of quarts in a in the barn.
Now you have to divide that number by 4 to get gallons because there is 4 quarts in a gallon.
There are 11 gallons of paint.

6 0

3 years ago

57 is 13.5% of what number?

kondaur [170]

Let, the number = x
It would be: x * 0.135 = 57
x = 57 / 0.135
x = 422.23

Hope this helps!

6 0

2 years ago

61% of 180 ?

poizon [28]

First, when multiplying percents, you need to convert them to decimals. You convert percents to decimals by multiplying by 100 or moving the decimal two places to the left. Once you convert them to full decimals, you multiply the decimal by the number that you are getting the percentage from

61% of 180⇒.61×180=109.8 

5.1% of 81?⇒.051×81=4.131

 $16 \frac{1}{2}$ of 36?⇒16.5×36⇒.165×36=5.94

81% of 241⇒.81×241=195.21

76% of 600⇒.76×600=456

88% of 680⇒.88×680=598.4

37% of 481⇒.37×481=177.97

19.1% of 380⇒.191×380=72.58

41% of 321⇒.41×321=131.61

33% of 331⇒.33×331=109.23

8 0

3 years ago