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Dvinal [7]
3 years ago
5

Simplify the following expression: 9^−53 ⋅ 9^37 Please also explain your answer. Thanks!

Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0

Answer: 9^-16

Step-by-step explanation:

a^b*a^c= a^b+c

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The diameter of a circle is 17 cm. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
aev [14]

Answer:

52.4 cm

Step-by-step explanation:

Circumference of a circle = 2πr

Radius, r = diameter / 2

= 17 cm / 2

= 8.5 cm

π = 3.14

Circumference of a circle = 2πr

= 2 × 3.14 × 8.5

= 53.38 cm

Approximately 52.4 cm

5 0
2 years ago
James and Tyson are buds. The sum of their ages is 97. The difference of their ages is 19. Find their ages.
sweet [91]

Answer:

James is 58 and Tyson is 39 years old.

Step-by-step explanation:

x + y = 97

x - y = 19    +

--------------

2x = 116

x = 58

--------------

y = 97 - 58

y = 39

7 0
3 years ago
The area of a rectangle is represented by the function A = n^3 - 6n^2 - 8n + 48.
aliya0001 [1]

Answer:

P = 2(n - 6) + 2(n^2 - 8)

Step-by-step explanation:

Remembering that Area = Length times Width, we factor the given function

A = n^3 - 6n^2 - 8n + 48 in the expectation that the resulting factors represent the length and width respectively:

A = n^3 - 6n^2 - 8n + 48 factors as follows:

A = n^2(n - 6) - 8(n - 6), or A = (n - 6)(n^2 - 8)

We can label '(n - 6)' "width" and '(n^2 - 8'

length.

Then the perimeter, P, of the rectangle is P = 2(length) + 2(width). which works out here to:

P = 2(n - 6) + 2(n^2 - 8)

5 0
2 years ago
Which ordered pair is the solution to the system?
Novosadov [1.4K]

Answer:

C. (4,-7)

Step-by-step explanation:

To answer this question, I just graphed the two equations. Then I found where they intersected.

6 0
3 years ago
Randy is painting part of a wall, excluding the two corners shown in white. a gallon of white paint will cover 100 sqaure feet.
uysha [10]

Randy needs to purchase 1.49 Gallons of paint to cover 100 sq. feet wall.

What is the area of rectangle?

The area of a rectangle is the product of its length and width. That is,       A = l x w where l is the length and w is the width of the rectangle.

Here, Required Paint = 20 X \frac{37}{4} - 2 X \frac{1}{2}X6 X 6\\

                                   = 5 X 37  - 36

                                   = 185 - 36

                                   = 149

                                   = 1.49 gallons

Thus, Randy needs to purchase 1.49 Gallons of paint to cover 100 sq. feet wall.

Learn more about Area of Rectangle from :

brainly.com/question/20693059

#SPJ1

4 0
2 years ago
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