Algebraic expressions are expressions that use numbers and variables
The value of A is 65/64
<h3>How to determine the value of A</h3>
The expression is given as:
Rewrite the expression as:
Factor out 2^x
Rewrite as product
The expression to compare with is given as: A * 2^x.
So, we have:
Divide both sides by 2^x
Take LCM
Hence, the value of A is 65/64
Read more about expressions at:
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Full Question
A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass—spring system is disturbed from its rest state by the force F (t) = 20 cos(8t). The force F (t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.
Determine the spring constant k.
Answer:
Spring Constant = 1000Nm^-1
Step-by-step explanation:
Given
Mass = 10kg
Spring Extension = 9.8cm
Spring Constant K = Force/Extension
Force = Mass * Acceleration
Force = 10 * 9.8 = 9.8N
Spring Extension = 9.8 cm = 9.8 /100 = 0.098 m
Spring constant = 98 / 0.098
Spring Constant = 1000Nm^-1
Answer:
x<13
Step-by-step explanation:
1. Move variable [x] to left-hand side and change its sign
Move constant [10] to the right-hand side and change its sign
10>x-3
-x+10>-3-10
2. Calculate the difference [-3-10]
-x>-3-10
-x>-13
3. Change the signs [-x>-13] on both sides of the inequality and flip the inequality sign
x<13
4. Solution
x<13
7.35 in the answer which is what I had got in the calculator ;]
V=1/3(pi)(r)^2(h)
V=1/3(pi)(9)^2(15)
V=1/3(3.14)(81)(15)
Then multiply all numbers in parentheses:
3815.1/3=1271.7 cm^3
Hope this Helps!
