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!
<h3>
Answer: Choice D) Vertical Angles</h3>
Reason:
When two lines cross to form an X shape, the opposite pairs of angles are known as vertical angles. They are always congruent to one another.
They do not have to be vertically aligned (meaning the angles could be sitting side by side). Example: In problem 15, angle 1 and angle 3 are vertical angles that are congruent.
According to the question requirements
v= 4/3*pi*r^3
dv/dt = 4*pi*r^2*dr/dt
when
d= 1.7
r= 0.85
and
dv/dt = 2
2= 4*pi*(0.85)^2*dr/dtthus the the speed of increasing of the balloon's diameter is
dr/dt = 1/(2pi*(0.85)^2)
=<span>0.2203 ft/min</span>
Complementary angels are two angles that equal 90 when added so S degrees + Z degree = 90 degrees or 50 degree + 40 degree = 90 so forth 4B in comments
