Answer:
2+1 is 3
Step-by-step explanation:
just add one more
Rosa runs 3 miles in 42 minutes.
I divided 42 by 56 to get the percentage that will be multiplied to 4 miles to get the number of miles Rosa runs in 42 minutes.
42 / 56 = 0.75 * 100% = 75%
75% * 4 miles = 3 miles.
3 miles within 42 minutes
Answer:
We can use a trick here. Let's look at the first few exponents of i to realize this:
i^0 = 1
i^1 = i
i^2= -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.
Step-by-step explanation:
An alternating series
converges if
is monotonic and
as
. Here
.
Let
. Then
, which is positive for all
, so
is monotonically increasing for
. This would mean
must be a monotonically decreasing sequence over the same interval, and so must
.
Because
is monotonically increasing, but will still always be positive, it follows that
as
.
So,
converges.
Answer:
0.3 = 3/10 = 30%
Step-by-step explanation:
The reading of the number as "three tenths" tells you how to write the fraction:
0.3 = 3/10
You can also express the same value in hundredths. Of course /100 is just a long way to write %, so ...
0.3 = 0.30 = 30/100 = 30%
0.3 = 3/10 = 30%
