Answer:
The answer is 5 hours.
Step-by-step explanation:
First you have to figure out how much money he already had by working at the coffee shop, so take the 15 hours and multiply it by 11$ he makes per hour and you get 165$, now you have to subtract the 200$ by 165$ to figure out how much he needs so 200 - 165 = 35 that is needed, then you keep going up an hour until your total comes above 35 so if he does 1 hour its 8, 2 hours is 16, 3 hours is 24, 4 hours is 32, and 5 hours is 40 which is finally enough to reach his goal.
The formula for working out the area of a circle is
. r stands for the radius. The radius is the diameter divided by two.
r = d/2
r = 8cm/2
= 4cm
Now you just need to substitute r into the formula for the area of a circle:
=
*16
= 16
(Remember that the area is always given in units squared, in this case cm)
≈ 50.3
Let's consider two prime numbers where each is larger than 2
Say the primes 7 and 11. Adding them gets us 7+11 = 18. This counter example disproves the initial claim since 18 = 9*2 = 6*3 making 18 composite (not prime)
In general, if we let p and q be two primes such that q > p > 2 and q is the next prime after p, then p and q are both odd. If any of them were even then they wouldn't be prime (2 would be a factor)
Adding any two odd numbers together leads to an even number
Proof:
p = 2k+1 where k is some integer
q = 2m+1 where m is some integer
p+q = 2k+1+2m+1 = 2(k+m) + 2 = 2(k+m+1) which is in the form of an even number
That proof above shows us that adding any prime larger than 2 to its next prime up leads to an even number. This further shows us that the claim is false overall. It is only true if you restrict yourself to the primes 2 and 3, which add to 5. Otherwise, the claim is false.
Answer:
Answer is c
Step-by-step explanation:
Given an expression in n as
We are asked to find out the limit as n tends to infinity
The given term has degree 1 for n in the numerator and degree 2 for n in the denominator
When n tends to infinity, since n is very large, we can say n^2>n
IN other words denominator having square of n approaches infinity faster than the numerator
This gives the limit as a finite value/infinite =0
HEnce limit =0
Answer:
145
Step-by-step explanation:
Mate it's clear use linear pair
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