You are given the length of a
rectangular prism of 3x^2, width of 2x and height of x^2 + 3x +5. You are
required to find the volume of a rectangular prism. Using the equation V = l x
w x h, we multiply the three dimensions.
V = l x w x h
V = (3x^2)(2x)( x^2 + 3x +5)
V = 2x (3x^4 + 9x^3 + 15x^2)
<u>V = 6x^5 + 18x^4 + 30x^3</u>
<u> </u>
<u>The volume of the rectangular
prism is 6x^5 + 18x^4 + 30x^3.</u>
Answer:
Option 4
Step-by-step explanation:
Term = n/(4^n)
(n+1)th term = (n+1)/[4^(n+1)]
Ratio: (n+1)/[4^(n+1)] ÷ n/(4^n)
= (n+1)/[4^(n+1)] × (4^n)/n
= [(n+1)/n] × (1/4)
For large n, (n+1)/n approaches 1
[(n+1)/n] × (1/4) approaches 1/4 which is less than 1
Since the ratio is less than 1, series converges
Answer:
x = 0.3, y = 5.3, z = 17.3
Step-by-step explanation:
Since given question is incomplete, so here is the complete table for the distance from the mean.
Temp (°F) 29 38 45 31 50 58 62
Distance from the mean 15.7 6.7 x 13.7 y 13.3 z
It's given that the mean of the data is 44.7
Since distance from the mean of a data is the absolute value of the difference of data and mean,
Therefore, distance from the mean of the data will be,
x = |44.7 - 45| = 0.3 (absolute value of the difference)
y = |44.7 - 50| = 5.3
z = |44.7 - 62| = 17.3
Answer:
55/28 hours/day (approx. 1.96 hours/day)
Step-by-step explanation:
9 1/6 hours / 4 2/3 days
= 55/6 hours / 14/3 days
= 55/6 * 3/14 hours/day
= 55/28 hours/day
(approx. 1.96 hours/day)
