The ratio of the pink to white marbles is 20%
Answer:
B. 18
Step-by-step explanation:
For the function
we can find the value of the function for all x that are very close to 9 but are less than 9 and for all values of x that are very close to 9 but are greater than 9.
1. For 
2. For 
So, limit exists and is equal to 18.
Cos(2x) = cos^2(x) - sin^2(x) - cos(x)
but sin^2(x) = 1 - cos^2(x)
cos(2x) - cos(x) = cos^2(x) - (1 - cos^2(x) ) - cos(x)
cos(2x) - cos(x) = cos^2(x) - 1 + cos^2(x) - cos(x)
cos(2x) - cos(x) = 2cos^2(x) - 1 - cos(x)
cos(2x) - cos(x) = (2cos(x) + 1)(cos(x) - 1)
I think this is what you have asked for.
Answer: Part A = (100% - 80%)P = 35, Part B = 140
<u>Step-by-step explanation:</u>
Percentage: Like + Don't like = 100%
80% + Don't like = 100%
<u> -80% </u> <u> -80% </u>
Don't like = 20%
People: 20% of Patrons = Don't Like
0.20 x Patrons = 35
<u>÷ 0.20 </u> <u> ÷ 0.20 </u>
Patrons = 175
<u>Now, let's write the equation we used to get that answer</u>:
Let P represent the total number of patrons, then the equation is:
(100% - 80%)P = 35
= (1.00 - 0.80)P = 35
= 0.20P = 35
= P = 175
<u>Part B: </u>
80% of Patrons = Like
0.80 x 175 = Like
140 = Like
Answer:
900
Step-by-step explanation:
The figure is a triangular prism
The equation would be V = A * H / 3
V being the volume
A being the area of the pyramids base
H being the height front he base to the top (20)
Base area is 135 (A)
135 * 20 = 2700
2700 divided by 3 = 900
900 is your answer
