Q: You are shot out of a cannon at the fair. The equation y=-1/5 * (x+2) (x-28) models your flight path, where y is the height above the ground and x is the horizontal distance. Which of the following statements in the comments are true?
a) You reach a maximum height of 45 feet,
b) You will land 11.2 feet from the cannon,
c) The barrel of the cannon is about 11 feet above the ground.
d)At a point 13 feet from the cannon, you begin to descend.
A: When y = 0, x = 28
y’ = 0 at x = 13 where Y is max = 15^2 / 5 = 45
Hence a is true, b is false, c is false, d is false .
Let the centre be O and the line with one end point at the centre and another at the chord CD touches the chord at S .
So CS is the half of 36.7 = 18.35
Therefore,
Therefore the measurement of arc CD is 118.7 degree.
Answer:
The next three terms of the sequence are 17, 21 and 25.
The 300th term of the sequence is 1197.
Step-by-step explanation:
The statement describes an arithmetic progression, which is defined by following formula:
(1)
Where:
- First element of the sequence.
- Progression rate.
- Index of the n-th element of the sequence.
- n-th element of the series.
If we know that 
, 
and 
, then the progression rate is:
The set of elements of the series are described by 
.
Lastly, if we know that 
, then the 300th term of the sequence is:
And the next three terms of the sequence are:
n = 5
n = 6
n = 7
The next three terms of the sequence are 17, 21 and 25.
The 300th term of the sequence is 1197.
Answer:
Yes, the table shows a proportional relationship
The value of y when x is 11 is 1331
Step-by-step explanation:
Let us check the relation between x and y in the table
∵ x = 4 and y = 64
∵ 64 = 4³
∴ y = x³
∵ x = 5 and y = 125
∵ 125 = 5³
∴ y = x³
∵ x = 6 and y = 216
∵ 216 = 6³
∴ y = x³
∵ x = 10 and y = 1000
∵ 1000 = 10³
∴ y = x³
∵ All the values on the table give the same relation
∴ x and y are proportion
∴ The table shows a proportional relationship
∵ y = x³
∵ x = 11
∴ y = (11)³
∴ y = 1331
∴ The value of y when x is 11 is 1331
27.50 x 4 = 110
27.50 x 5 = 137.5
