Answer:
4 in
Step-by-step explanation:
given the scale is 1 in : 36 ft , then
length of drawing = 144 ft ÷ 36 = 4 in
Answer:
Each algebra book costs $60.
Step-by-step explanation:
A=bill for algebra books; S=bill for science books=A+$360
S+A=$3960 Substitute for S
A+$360+A=$3960 Subtract $360 from each side.
2A=$3600 Divide each side by 2.
A=$1800 The order for 30 algebra books cost $1800.
Individual book=A/30
individual book=$1800/30=$60 ANSWER: Each algebra book cost $60.
Answer:
Step-by-step explanation:
<u>Use the Pythagorean theorem:</u>
<u>Verify this for each line:</u>
1.
- 28² + 45² = 53²
- 2809 = 2809
- Yes
2.
- 33² + 56² = 64²
- 4225 ≠ 4096
- No
3.
- 36² + 77² = 85²
- 7225 = 7225
- Yes
So you want to plug in the height for h and solve for t
36 = -16t^2+14t+36
So you get 14/16 which simplifies to
7/8 seconds
Hope this helped!
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.
