Paul volunteered at the senior center for 3 9/10 hours on Saturday and 5 1/6 hours on Sunday. How many hours did Paul volunteer
1 answer:
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Answer:
17 seconds
Step-by-step explanation:
Solution:-
The trajectory of a rocket launched is modeled by a parabolic path via a quadratic equation as follows:
Where,
y: The height of the rocket from ground
x: The time taken since rocket launch
We are to determine the time ( x ) it takes for the rocket to hit the ground. This can be determined by setting the quantity ( y ) to zero as follows
solve the quadratic equation using quadratic formula as follows:
Answer: Ignore the negative value for time " -0.375 ". Hence, the rocket hits the ground at time t = 17 seconds
Given:
A right triangle with legs 5 units and 6 units.
To find:
The measure of angle opposite of side whose length is 5 units.
Solution:
In a right angle triangle,
Let be the missing angle. Then, for the given triangle,
Round the value to the nearest degree.
Therefore, the measure of the required angle is 40 degrees.
Answer:
Proved.
Step-by-step explanation:
The functions are:
1.) f(x) = 3x - 27 (* <em>I am giving an answer using this equation. Perhaps you did't copy the question well!</em>)
2.) g(x) = + 9
If two functions are inverses of each other, then:
f(g(x)) = x and g(f(x)) = x situation must be satisfied.
f(g(x)) = 3() + 27
We simply it to get;
f(g(x)) = x - 27 + 27 = x (*<em>This is correct)</em>
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g(f(x)) = (3x - 27) + 9 = x - 9 + 9 = x (* <em>This is also correct!</em>)