Answer:
The new can can hold upto volume of 476.69 cubic centimeters.
Step-by-step explanation:
Diameter of the can = d = 6 cm
Radius of the can = r = 0.5d = 0.5 × 6 cm = 3 cm
Height of the can = h = 12 cm
Company wants to increase the dimensions of their cans by a multiple of 1.12. So, the new dimension will be:
r'= 3 cm × 1.12 = 3.36 cm
h' = 12 cm × 1.12 =13.44 cm
Volume of the = can = V
Volume of a cylinder =
The new can can hold upto volume of 476.69 cubic centimeters.
Answer:
Step-by-step explanation:
a). Let the number of spoons = x
And number of forks = y
Total number of spoons and forks bought by Perry = 10
x + y = 10 --------(1)
Cost of one spoon = $5
Cost of one fork = $3
Therefore, total cost of x spoons and y forks = $(5x + 3y)
5x + 3y = 42 -------(2)
b). Now we can convert these equations into the slope-intercept form.
x + y = 10 ⇒ y = -x + 10
Table for input output values,
x 2 4 6
y 8 6 4
5x + 3y = 42
3y = -5x + 42
y =
x 0 3 6
y 14 9 4
Point of intersection of these lines will be (6, 4).
9514 1404 393
Answer:
Step-by-step explanation:
The attached graph shows the square root relation (red) and the cube root function (blue). The function values are shown for x=0 and x=±8.
You can see that there are 2 square roots for positive numbers, one square root for 0, and 0 square roots for negative numbers. There is exactly 1 cube root for any number.
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<em>Additional comment</em>
We call the square root curve a "relation" because it is <em>not a function</em>. A relation that is a function will have only one y-value for each x-value. For positive x-values, there are two square roots.
