Answer:
(4, 2.5)
Step-by-step explanation:
9514 1404 393
Answer:
-312
Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 +d(n -1)
Here, you have first term a1 = 31, and common difference d = 24-31 = -7. So, the 50th term is ...
a50 = 31 -7(50 -1) = 31 -7(49) = -312
The 50th term for the sequence is -312.
Answer:
When the dimensions are doubled, the volume is eight times the original volume.
Step-by-step explanation:
difference in volume = volume of prism with dimensions doubled / original volume of prism
Volume of a prism = length x width x height
original volume of prism = 7 x 5 x 12 = 420
doubled dimensions of prism = (7x2) x (5x2) x (12 x 2)
volume = 14 x 10 x 24 = 3360
3360 / 420 = 8