Answer:
f(x) = 5x - 30
Yes it is a function
Step-by-step explanation:
Because when you input 0 you get -30 we know it starts at 0 or (0,-30). This gives us b in the equation y = mx + b.
We know that for every 4 cars washed it increases by 20. So 20/4 is 5. This tells us m = 5.
Plug it all in and you get y = 5x - 30 or f(x) = 5x - 30
Answer:
216
Step-by-step explanation:
the area is ((B + b) x h) / 2
which is ((22 + 14) x 12) / 2
It is called the median :)
The area of a circle with radius r is πr². So you need to find r such that
πr² = 56π
⇒ r² = 56
⇒ r = √56 = 2√14
Answer:
a. 0.9 Hz b. 0.37 Hz
Step-by-step explanation:
The frequency of the simple pendulum f = (1/2π)√g/l where g = acceleration due to gravity and l = length of pendulum
a. Find the frequency of a pendulum whose length is 1 foot and where the gravitational field is approximately 32 ft/s2
To find f on Earth, g = 32 ft/s² and l = 1 ft
So, f = (1/2π)√(g/l)
f = (1/2π)√(32 ft/s²/1 ft)
f = (1/2π)√(32/s²)
f = (1/2π)(5.66 Hz)
f = 0.9 Hz
b. The strength of the gravitational field on the moon is about 1/6 as strong as on Earth.. Find the frequency of the same pendulum on the moon.
On the moon when acceleration due to gravity g' = g/6,
f = (1/2π)√(g'/l)
f = (1/2π)√(g/6l)
f = (1/2π)√[32 ft/s²/(6 × 1 ft)]
f = (1/2π)√(32/s²)/√6
f = (1/2π)(5.66 Hz)/√6
f = 0.9/√6 Hz
f = 0.37 Hz
