Answer:
x = 9 ± √14
Step-by-step explanation:
x² − 18x + 67 = 0
Move the constant to the other side:
x² − 18x = -67
Take half of -18, square it, and add to both sides.
(-18/2)² = (-9)² = 81
x² − 18x + 81 = -67 + 81
x² − 18x + 81 = 14
Factor the perfect square:
(x − 9)² = 14
Solve for x:
x − 9 = ±√14
x = 9 ± √14
Answer:

Step-by-step explanation:
The explicit formula for an arithmetic sequence is given by :
...(1)
We need to find the 200th term of the sequence.
Put n = 200 in equation (1)

So, the 200th term of the sequence is 418.
That would be 242 divided by the total number of people surveyed, or 242/1028.
Answer: r = 1.69 inches
h = 2.15 inches
Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.
Volume of a cone is directly proportional to radius and height:

They want the cones to hold the same volume of 9 cubic inches.
If height is 3:



r = 1.69 inches
When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.
If radius is 2:


h = 2.15 inches
If radius is 2 inches, height of the cone is 2.15 inches.