If
is an integer, you can use induction. First show the inequality holds for
. You have
, which is true.
Now assume this holds in general for
, i.e. that
. We want to prove the statement then must hold for
.
Because
, you have
and this must be greater than
for the statement to be true, so we require
for
. Well this is obviously true, because solving the inequality gives
. So you're done.
If you
is any real number, you can use derivatives to show that
increases monotonically and faster than
.
1 hm=100m
1.5hm=150 meters each tower is from each other.
500km(1000m/1km)=500,000 meters the wire covers.
500,000/150 = 3333.33 towers. Just because we want to be safe and have enough towers we can say we have 3334 towers in the span of 500,000 meters.
B)
1kV=1000V
500kV(1000V/1kV)= 500,000 V
There are 1.2 volts in a AA battery so we divide 500,000/1.2 = 416666.67 times larger
The domain is all real numbers, the function is a variant of linear, which could be expressed in the form of y=mx+b as y = -w + 17.5, therefore all real numbers is the domain and the range.
Answer: B.
Step-by-step explanation:
the sum of 5 x 10 with exponent 4 would be 50,000.
multiply that by 12 and it would be 600,000, which is also equal to
6 x 10 with exponent 5.
hope this helps :)
Answer: 5
Step-by-step explanation:
