check the picture below.
In the following questions, look at different ways to represent the relation given by the equation y = x2 - 1. The table below s
1 answer:
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<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is
We have to solve the above expression using change of base formula which is given as
Now, let us first apply logarithm for the given expression.
Then given expression turns into as,
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
Answer:
1)
Using the condition given:
So then if we want to create an equation we need to do this:
With K a constant. For this case the period of a pendulumn is given by this general expression:
Where L is the length in m and g the gravity .
2)
If we square both sides of the equation we got:
And solving for L we got:
Replacing we got:
3)
Step-by-step explanation:
Part 1
For this case we know the following info: The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillation), T seconds.
Using the condition given:
So then if we want to create an equation we need to do this:
With K a constant. For this case the period of a pendulumn is given by this general expression:
Where L is the length in m and g the gravity .
Part 2
For this case using the function in part a we got:
If we square both sides of the equation we got:
And solving for L we got:
Replacing we got:
Part 3
For this case using the function in part a we got:
Replacing we got: