Answer:
Day 1 ... 17 ft. 18. 8 ft. 15 m. 1440 - 158: X. X = 12 | nga +a2. 15:a A. V-B: H. 30 = 158X. C-X ... Find the radius. ... A right circular cylinder has a volume of 2.000 cubic inches and a height of the.
Step-by-step explanation:
Answer:
Scale factor is 5
Step-by-step explanation:
Answer:
p =1
q = 9
Step-by-step explanation:
f(x) = 2x³ - px² + 2qx + q
(x - 3) is a factor of f(x)
⇒f(3) = 0
2(3)³ - p*3² - 2q*3 +q = 0
2*27 - 9p - 6q + q = 0
54 - 9p - 5q = 0
-9p - 5q = -54 -------------------(I)
(2x - 1) is a factor of f(x)
2x - 1 = 0
2x = 1
f(1/2) = 0
![2*(\dfrac{1}{2})^{3}-p*(\dfrac{1}{2})^{2}-2q*\dfrac{1}{2}+q=0\\\\2*\dfrac{1}{8}-p*\dfrac{1}{4}-q+q = 0\\\\\dfrac{1}{4}-\dfrac{1}{4}p =0\\\\[Multiply the entire equation by 4]\\\\4*\dfrac{1}{4}-4*\dfrac{1}{4}p=0\\\\](https://tex.z-dn.net/?f=2%2A%28%5Cdfrac%7B1%7D%7B2%7D%29%5E%7B3%7D-p%2A%28%5Cdfrac%7B1%7D%7B2%7D%29%5E%7B2%7D-2q%2A%5Cdfrac%7B1%7D%7B2%7D%2Bq%3D0%5C%5C%5C%5C2%2A%5Cdfrac%7B1%7D%7B8%7D-p%2A%5Cdfrac%7B1%7D%7B4%7D-q%2Bq%20%3D%200%5C%5C%5C%5C%5Cdfrac%7B1%7D%7B4%7D-%5Cdfrac%7B1%7D%7B4%7Dp%20%3D0%5C%5C%5C%5C%5BMultiply%20the%20entire%20equation%20by%204%5D%5C%5C%5C%5C4%2A%5Cdfrac%7B1%7D%7B4%7D-4%2A%5Cdfrac%7B1%7D%7B4%7Dp%3D0%5C%5C%5C%5C)
1 - p = 0
-p = -1
p = 1
Substitute p =1 in equation (I)
-9*1 - 5q = -54
-9 - 5q = -54
-5q = -54 + 9
-5q = -45
q = -45/(-5)
q = 9
Answer:
<h3>B. 414.5</h3><h3 />
<u>Formula:</u>
radius (r^2) pi (π) height/3
<u>Multiply pi times 6^2 times 11 over 3.</u>
(Incase you don't know, ^2 means an exponent)
<h3>(π) (6^2) (11/3) = 414.5</h3>
I hope this helped!+*♡
<h3 /><h3 />
Answer:
Brand A = $0.19 per pencil
Brand B = $0.18 per pencil
Better Buy = Brand B (costs less)
Step-by-step explanation:
To find unit price for each, we divide the total with the number of pencils.
So, <u>Brand A:</u>
5.29/28 = $0.19 per pencil
And, <u>Brand B:</u>
8.47/48 = $0.18 per pencil
As we can see, Brand B pencils are around 1 cent less per pencil than Brand A pencils. So, we can say Brand B are a Better Buy.
