x = –6
Solution:
Given expression is ![\sqrt[3]{x-2}+5=3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx-2%7D%2B5%3D3)
.
Step 1: Isolate the radical by subtracting 5 from both sides of the equation.
![\Rightarrow\sqrt[3]{x-2}+5-5=3-5](https://tex.z-dn.net/?f=%5CRightarrow%5Csqrt%5B3%5D%7Bx-2%7D%2B5-5%3D3-5)
![\Rightarrow\sqrt[3]{x-2}=-2](https://tex.z-dn.net/?f=%5CRightarrow%5Csqrt%5B3%5D%7Bx-2%7D%3D-2)
Step 2: Cube both sides of the equation to remove the cube root.
![\Rightarrow(\sqrt[3]{x-2})^3=(-2)^3](https://tex.z-dn.net/?f=%5CRightarrow%28%5Csqrt%5B3%5D%7Bx-2%7D%29%5E3%3D%28-2%29%5E3)
Cube and cube root get canceled in left side of the equation.
Step 3: To solve for x.
Add 2 on both sides of the equation.
Hence the solution is x = –6.
For this case we have the following arithmetic sequence:
To write in function form, we apply distributive property to the terms within parentheses:
Different signs are subtracted and the major sign is placed.
We simplify:
Answer:
Option C
Convert minutes to hour(35/60=.58 then multiply 25mph to get 14.5 miles
Answer:
Doesn't make sense. Please re-punctuate your question.
Step-by-step explanation:
The height of the right cone given its volume and its diameter is 47 units.
<h3>What is the height?</h3>
A cone is a three-dimensional object that has a circular base and a vertex.
Height of the cone = Volume of a cone ÷ 1/3(πr²)
Where:
- π = 22/7
- r = radius = diameter / 2 = 30 / 2 = 15 units
- h = height
3525π÷ (1/3 x π x 15²) = 47 units
To learn more about the volume of a cone, please check: brainly.com/question/13705125
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