Answer:
Proved (See Explanation)
Step-by-step explanation:
Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is done as follows
From laws of indices;
aᵐ⁺ⁿ = aᵐ * aⁿ.
So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.
becomes
Factorize
3ⁿ * 5
5(3ⁿ)
<em>The expression can not be further simplified.</em>
<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>
Well the displacement of milage from the 2 places if 75km however, the women and her car are in the same place so there is no displacement. But 75km is the correct mathematical answer.
M = hours driven by Maria
c = hours driven by Carlos
since we know that Carlos was driving at an average of 52 mph, then in 1 hour he drove 52 miles, in 2 hours he drove 2*52 miles in "c" hours he drove c*52 miles or
52c.
Maria on the other hand is faster and does 54 mph, in 1 hour she does 1 * 54 miles, and on 2 hours she does 2 * 54 miles and in "m" hours she does m * 54 miles or
54m.
now, we know the total amount of miles they both drove is 217, so whatever "m" and "c" are we know that
54m + 52c = 217.
we also know it took 4.1 for the whole trip, so
m + c = 4.1.
so Maria drove for 1.9 hours.
How many hours did Carlos drive for? well, c = 4.1 - m.
Answer:
I think b or d
Step-by-step explanation:
Sorry if it's wrong but i think it's one of those two
Answer: 6 inches
Step-by-step explanation:
2 inches = 35 miles, so, 105 divided by 35 which is three, then 3 x 2 = 6
you're welcome
