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2 years ago

(X^-3)^2(x^-2)^3 PLS SIMPLIFY?!!!

Mathematics

1 answer:

sergiy2304 [10]2 years ago

5 0

Answer:

$\frac{1}{x^1^2}$

Step-by-step explanation:

Use this rule to simplify the parenthesis:

(xᵃ)ᵇ = xᵃᵇ

(x⁻³)²(x⁻²)³

x⁻⁶ × x⁻⁶

Then use the product rule:

xᵃxᵇ = xᵃ⁺ᵇ

x⁻⁶ × x⁻⁶

x⁻¹²

Use the negative power rule to get rid of the negative exponent:

$\frac{1}{x^1^2}$

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A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round your answer to the near

slamgirl [31]

complete question:

A fountain is made up of two semicircles and a quarter circle. The diameter of the semicircles is 10 ft. Find the perimeter of the fountain. Round your answer to the nearest tenth. The picture is represented below.

Answer:

The perimeter of the fountain = 47.1 ft

Step-by-step explanation:

The fountain has 2 semi circle from a smaller circle with the diameter represented as 10 ft and a quarter circle from a bigger circle with the radius equals to 10 ft.

The perimeter is the distance around the fountain.The perimeter is the circumference in circular perspective. Therefore,

perimeter for a full circle = 2πr

Half circle = 2πr/2 = πr

For 2 half circle = πr + πr = 2πr

For 2 half circle = 2πr

r = 10/2 = 5

perimeter for 2 half circle = 2 × 5 × 3.14 = 31.4 ft

Perimeter for the quarter circle

r = 10 ft

Quarter circle perimeter = 1/4 × 2πr = πr/2

Quarter circle perimeter = (3.14 × 10)/2

Quarter circle perimeter = (31.4)/2

Quarter circle perimeter = 15.7 ft

The perimeter of the fountain = 15.7 ft + 31.4 ft = 47.1 ft

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3 years ago

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2 years ago

a businesswoman sells a bag for $52.32, thereby making a profit of 9% on the cost of her. calculate the selling price the busine

Veronika [31]

Answer: $57.6

Step-by-step explanation:

Given : A businesswoman sells a bag for $52.32.

Let cuurent selling price : SP = $52.32

As they are making 9% profit now.

That means SP= Cp +0.09 CP , where Cp is the cost price of bag.

i..e $52.32=Cp(1+0.09) \ \text{[Substituted value of SP in LHS and taking Cp common outside in RHS]}$

$\Rightarrow\ 52.32=Cp(1.09)\Rightarrow\ CP=\dfrac{52.32}{1.09}=48$

i..e Cost price of bag = 48

Selling price to gain 20% profit = Cp+0.20CP

= CP(1+0.20)

=48 (1.20)

= 57.6

Hence, the selling price the businesswoman should ask in order to make 20% profit = $57.6

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