Answer:
100
Step-by-step explanation:
we start by subtracting 20 from 70, which is 50
we double 50 to get 100
Answer:
if I have my calculations right it would be £120
Let

denote the particle's position. Then its velocity is given by


The speed is then given by the absolute value/magnitude/norm of the velocity function,
Answer:
Step-by-step explanation:
Prove that for any natural number 3^(n+4)-3n is divisible by 16.
(I'm going to assume that you mean 3^(n+4)-3^n.)
1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).
2. Solve to get 3^n * 81 - 3^n
3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)
You may notice that 80 is divisible by 16.
4. Rewrite what we got from the last step as: 3^n*5(16).
Hope this helped you!
Answer:
The angular speed is 3,227 rad/min
Step-by-step explanation:
Remember that
1 mile=63,360 inches
step 1
Find the circumference of the wheels
The circumference is equal to

we have

substitute


step 2
we know that
The speed of the wheel is 55 mi/h
<em><u>Convert to mi/min</u></em>
55 mi/h=55/60 mi/min
<u><em>Convert to in/min</em></u>
(55/60) mi/min=55*63,360/60 in/min= 58,080 in/min
we know that
The circumference of the wheel subtends a central angle of 2π radians
so
using proportion
Find out how much radians are 58,080 inches

therefore
The angular speed is 3,227 rad/min