Answer:
Step-by-step explanation:
The volume of a cylinder, 
is given by the formula,
Where, 
is the radius and 
is the height of the cylinder.
Here, 
, 
. Plug in these values and solve for radius, .
This gives,
Taking square root both sides, we get
Therefore, the radius of the cylinder can be expressed as .
Answer:
663
Step-by-step explanation:
the total number of students can be determined using this equation :
(total ratio of Chinese and Indian students / total ratio of students) x n = 468
total ratio of Chinese and Indian students = 4 + 8 = 12
total ratio of students 4 + 8 + 5 = 17
N = TOTAL NUMBER OF STUDENTS
12/17) x n = 468
multiply both sides of the equation by 17/12
n = 663
Answer:
cost of producing the 501st item = $9.92
Step-by-step explanation:
The function representing the cost is given by;
C(x) = 10000 + 90x - 0.08x²
To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.
Thus;
C(500) = 10000 + 90(500) - 0.08(500)²
C(500) = 10000 + 45000 - 20000
C(500) = $35000
Similarly;
C(501) = 10000 + 90(501) - 0.08(501)²
C(501) = 10000 + 45090 - 20080.08
C(501) = $35009.92
cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92
Answer:
{9} Slope: -1
Y-intercept = 0
Step-by-step explanation:
Slope-----
Recall slope-intercept form
y=mx+b, with slope m and a y-intercept of b. With this in mind, we can rewrite our equation as y=−x+0
We see that our slope, or coefficient on x, is −1.
Y-intercept-----
We can rewrite this equation as:y=1x+0
The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
For this equation:y=1x+0
Therefore:
The slope is m=1
The y-intercept is b=0 or (0,0)
Hope this helps!
