The volume of seeds in the package must be equal to the volume of the feeder in order to fill it completely. The volume of the conic feeder is given by:
V(f) = (πr²h)/3
And volume of the cylindrical package is given by:
V(p) = πr²h
Equating the two and substituting values:
(π x 3² x 24)/3 = π x 6² x h
h = 2 inches
Answer:
y-intercept is (0,30); x-intercept is (52.5,0).
Step-by-step explanation:
Note that as x increases by 7 from -35 to -28, y decreases by 4 from 18 to 14. Thus, the slope of this line is
m = rise / run = -4/7.
Let's find the equation of the line. Start with the slope-intercept form:
y = mx + b. Use the slope m = -4/7 and the point (-28, 14) to find b:
14 = -(4/7)(28) + b, or
14 = -16 + b. Then b = 30, and the equation of the line in slope-intercept form is y = (-4/7)x + 30. The y-intercept is (0, 30).
Find the x-intercept by setting y=0 and solving the resulting equation for x:
y = (-4/7)x + 30 becomes (4/7)x = 30, and x = (7/4)(30) = 214, or 52.5.
The x-intercept is thus (52.5, 0).
Answer:
f(- 3) = - 5
Step-by-step explanation:
Given the point (- 3, - 5)
where x = - 3 is the input and y = - 5 is the output
The function can be represented by
y = f(x), that is
f(- 3) = - 5
Answer:
70
Step-by-step explanation:
60/40Ⅹ50=70
I hope this helps
Answer: They will charge same amount for 360 minutes of calls.
Step-by-step explanation:
A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plus an additional $0.07 for each minute of calls
For what amount of calling do the two plans cost the same?
Let the each minute of calls be 'x'.
So, for plan A would be
plan A cost $9 Plus And additional 0.12 $ for each minute of calls is expressed as
Plan B cost $27 plus an additional $0.07 for each minute of calls is expressed as
According to question, it becomes,
Hence, they will charge same amount for 360 minutes of calls.
