Answer:
To find the area of a trapezoid, take the sum of its bases, multiply the sum by ... or area_trapezoid2.gif. Where b1.gif is base1.gif , b2.gif is base2.gif , h.gif ... of a trapezoid with bases of 9 centimeters and 7 centimeters, and a height of 3 ... The area of a trapezoid is
Step-by-step explanation:
ANSWER
![\frac{3 {x}^{2} - 2x + 1 } {x - 1 } = 3x + 1 + \frac{2}{x - 1}](https://tex.z-dn.net/?f=%5Cfrac%7B3%20%7Bx%7D%5E%7B2%7D%20-%202x%20%2B%201%20%7D%20%7Bx%20-%201%20%7D%20%3D%203x%20%2B%201%20%2B%20%5Cfrac%7B2%7D%7Bx%20-%201%7D%20)
EXPLANATION
The given function is
![\frac{3 {x}^{2} - 2x + 1 } {x - 1 }](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%20%7Bx%7D%5E%7B2%7D%20-%202x%20%2B%201%20%7D%20%7Bx%20-%201%20%7D%20)
The synthetic division is shown in the attachment.
The Remainnder is 2.
The quotient is
![3x + 1](https://tex.z-dn.net/?f=3x%20%2B%201)
Therefore
Answer: Diameter is increasing as
centimeter per hour.
Step-by-step explanation:
Alright, lets get started.
The formula for volume of sphere is given as V : ![\frac{4}{3}\pir^3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpir%5E3)
The volume of a sphere is increasing at a rate of
cubic centimeters per hour.
It means : ![\frac{dV}{dt}=6\pi](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D6%5Cpi)
![V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Taking derivative with respect to t
![\frac{dV}{dt}=\frac{4}{3}\pi \times 3r^2 \frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%5Ctimes%203r%5E2%20%5Cfrac%7Bdr%7D%7Bdt%7D)
![6\pi=4\pi r^2 \frac{dr}{dt}](https://tex.z-dn.net/?f=6%5Cpi%3D4%5Cpi%20r%5E2%20%5Cfrac%7Bdr%7D%7Bdt%7D)
at the instant the radius of the sphere is 3 centimeters, means
![\frac{dr}{dt}= \frac{6}{4 \times 3^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bdr%7D%7Bdt%7D%3D%20%5Cfrac%7B6%7D%7B4%20%5Ctimes%203%5E2%7D)
![\frac{dr}{dt}=\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7Bdr%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B6%7D)
As ![radius = \frac{diameter}{2}](https://tex.z-dn.net/?f=radius%20%3D%20%5Cfrac%7Bdiameter%7D%7B2%7D)
![\frac{1}{2}\frac{dD}{dt}=\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Cfrac%7BdD%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B6%7D)
![\frac{dD}{dt} =\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BdD%7D%7Bdt%7D%20%3D%5Cfrac%7B1%7D%7B3%7D)
Hence diameter is increasing as
centimeter per hour. : Answer
Hope it will help :)
Answer: In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean, and it informally measures how far a set of (random) numbers are spread out from their mean.
Step-by-step explanation: Hope this helps
The awnser is B because 33% is 1/3 of 100% so if you do 45×3=135