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Andrej [43]
3 years ago
14

Simplify 8^2/3 x 2^-1/3

Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0
2 + (-1/3) = 5/3
So the answer would be 2 ^ (5/3)
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3 1/4 - 1 3/8 (please help)
viva [34]

In fix fraction it will be, 1 7/8

and the exact answer is 15/8

and in decimal from it will be, 1.875

3 0
2 years ago
Read 2 more answers
Lauren Michel lends $17,000 at a rate of 10.7% .
Maru [420]
Given:
Principal = 17,000
rate = 10.7%
term = x/360
interest = 1,121.72

Interest = Principal * rate * term
1,121.72 = 17,000 * .107 * x/360
1,121.72 = 1,819x / 360
1,121.72 * 360 = 1,819x
403,632 / 1,819 = x
221.90 = x

Lauren Michelle will have to wait 222 days for her investment to earn $1,121.72

Given:
Principal = x
rate = 9%
term = 10 months
interest = 1,687.50

Interest = Principal * rate * term
1,687.50 = x * 0.09 * 10/12
1,687.50 = x * 0.075
1,687.50 / 0.075 = x
22,500 = x

The amount Sandra Leatherwood invested was $22,500.


7 0
3 years ago
A person gets on a Ferris wheel at the starting point. The starting point is 15 feet off the ground. The Ferris wheel has a radi
lisov135 [29]
<h2>Answer:</h2>

\boxed{\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}

<h2>Explanation:</h2>

<em>The height of the rider from the ground after the Ferris wheel</em> equals <em>the starting point is 15 feet off the ground </em><em>plus </em><em>the radius of the Ferris wheel </em><em>plus </em><em>the opposite side of the triangle ΔABC </em>(See figure below).<em> </em>Hence our goal is to find this side. We have the angle 11\pi /2=165^{\circ}, therefore the angle ∠BAC = 165° - 90° = 75°. So this side can be found using trigonometry:

\overline{BC}=\overline{AB}sin(75^{\circ})=50sin(75^{\circ})=\frac{25}{2}(\sqrt{6}+\sqrt{2})

Finally, the height is:

H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+15+50 \\ \\ \boxed{H=\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}

6 0
2 years ago
In a fruit cocktail, the ratio of orange juice to apple juice to coconut milk is 3:2:4, respectively. How much of each type is n
stellarik [79]

Answer: 15L of Orange

10L of Apple

20L of Coconut

Step-by-step explanation:please see attachment for explanation

7 0
3 years ago
Read 2 more answers
Which of the following points lies on the circle whose center is at the origin and whose radius is 10?
Elodia [21]

Unfortunately, you haven't shared "the following points."


The equation of a circle centered at the origin and whose radius is 10 is


x^2 + y^2 = 10^2.

8 0
3 years ago
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