Answer:
<em>The height of the cylinder 'h' = 12 inches</em>
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given Volume of the cylinder = 8,478 cubic inches
Radius of the cylinder = 15 inches
Volume of the cylinder is determined by
8,478 = 3.14 × (15)² h
<em>The height of the cylinder 'h' = 12 inches</em>
Answer:
Function 1 written in vertex form is f(x) = -x^2 + 8x - 15 = -(x^2 - 8x + 15) = -(x^2 - 8x + 16 + 15 - 16) = -(x - 4)^2 - (-1) = -(x - 4)^2 + 1
Therefore, vertex = (4, 1)
Function 2 written in vertex form is f(x) = -x^2 + 4x + 1 = -(x^2 - 4x - 1) = -(x^2 - 4x + 4 - 1 - 4) = -(x - 2)^2 - (-5) = -(x - 2)^2 + 5
Therefore vertex = (2, 5)
Function 1 has a maximum at y = 1 and function 2 has a maximum at y = 5. Therefore, function 2 has a larger maximum.
Step-by-step explanation:
The answer should be a weak negative association.
This is because it is a negative linear association and the dots are not close to the line.
Answer:
The domain is (x : 2 < x < 6}
The range is {y : 160 < y < 480}
Step-by-step explanation:
Assume that y is the total charge for x hours
∵ He charges $80 an hour
∵ The number of hours is x
∴ y = 80 x
x is the domain and y is the range
∵ He works between 2 to 6 hours a day
- That means x is between 2 and 6
∴ 2 < x < 6
∵ x represents the domain
∴ The domain is {x : 2 < x < 6}
Lets find the value of y at x = 2 and x = 6 to find the range
∵ x = 2
∴ y = 80(2)
∴ y = 160
∵ x = 6
∴ y = 80(6)
∴ y = 480
- That means y is between 160 and 480
∴ 160 < y < 480
∵ y represents the range
∴ The range is {y : 160 < y < 480}
<h2><em>750 gallons of water flows through the pipe in = 50 seconds.
</em></h2><h2><em>350 gallons of water will flow in =50/750 x 330= = </em><u><em>22 seconds.</em></u></h2>