Coffee is sold in two different sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger c
1 answer:
Answer:
The larger canister has 8 times the volume and 4 times the volume of the smaller one.
Step-by-step explanation:
The smaller canister has a diameter of 9 cm (radius = 4.5 cm) and height of 12 cm.
The larger canister has double the diameter and height of the smaller one. The diameter of the larger canister is 18 cm (radius = 9 cm) and height of 24 cm.
The canisters are in the shape of a cylinder.
The volume of a cylinder is given as:
The surface area of a cylinder is given as:
A = 2πr(r + h)
SMALLER CANISTER
Volume = π * 4.5 * 4.5 * 12 = 763.41 cubic centimetres
Area = 2 * π * 4.5(4.5 + 12) = 2 * π * 4.5 * 16.5 = 466.53 square centimetres
LARGER CANISTER
Volume = π * 9 * 9 * 24 = 6107.26 cubic centimetres
Area = 2 * π * 9(9 + 24) = 2 * π * 9 * 33 = 1866.11 square centimetres
By reason of comparison, the larger canister has 8 times the volume and 4 times the volume of the smaller one despite having double the dimensions.
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Answer:
Her expenses are $25 per week.
Step-by-step explanation:
Given :Jessica earns a commission on each sale but has to pay for her own expenses.
She writes the equation of the function like this: , where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars.
To Find: Which of the following are reasonable interpretations of the y-intercept of Jessica's function?
Solution:
x is the number of doors she knocks on during the week
E(x) is her earnings for the week in dollars.
Calculate y intercept
Substitute x = 0
Since E(x) is her total earning after clearing the payment of all her expenses.
So, 25 is her expenses per week.
Since we are given that she need to pay her expenses .
So, if there is no sale , still she need to pay expenses.
Thus the reasonable interpretations of the y-intercept of Jessica's function is Her expenses are $25 per week.
Answer:
Step-by-step explanation:
Let
r ----> the number of readers (y-coordinate or dependent variable)
t ----> the number of years after 2000 (x-coordinate or independent variable)
Remember
2004 ----> represent t=4 years
2014 ----> represent t=14 years
we have the ordered pairs
(4,1,000,000) and (14,2,000,000)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line in point slope form
we have
substitute
step 3
Convert to slope intercept form
isolate the variable r
step 4
Convert to function notation