It would take Lin 36 minutes to ride 6 miles. To answer this you must divide 120 by 20. You'll get the answer 6. This is your unit rate. You then take the unit rate, 6, and multiply it by how many miles she rode. In this case, 6*6. Or if you prefer an equation: (120÷20)*6=36min.
It’s in the millions place
The question is not clear, but it is possible to obtain distance, s, from the given function. This, I would show.
Answer:
s = 17 units
Step-by-step explanation:
Given f(t) = t³ - 8t² + 27t
Differentiating f(t), we have
f'(t) = 3t² - 16 t + 27
At t = 0
f'(t) = 27
This is the required obtainaible distance, s.
Answer:
in the form 
would be:
Step-by-step explanation:
Given:
Parent function:
Translation occurs 7 units up to get
Translation Rules:
If 
the function shifts 
units to the up.
If 
the function shifts units to the down.
So, from the above rules can be represented as:
[7 units up]
Writing in the form where 
are integers.
Answer:
<h2>3(cos 336 + i sin 336)</h2>
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336)
