Answer:
Step-by-step explanation:
m=x^3+y^2-6(x-y)-2021
distribute: 6x-6y
now you have m=x^3 + y^2 - 6x - 6y - 2021
Suppose that Paolo and Sharon are the only consumers of ice cream cones in a particular market. The following table shows their monthly demand schedules: Price Paolo’s Quantity Demanded Sharon’s Quantity Demanded (Dollars per cone) (Cones) (Cones) 1 8 16 2 5 12 3 3 8 4 1 6 5 0 4 On the following graph, plot Paolo’s demand for ice cream cones using the green points (triangle symbol). Next, plot Sharon’s demand for ice cream cones using the purple points (diamond symbol). Finally, plot the market demand for ice cream cones using the blue points (circle symbol). Note: Line segments will automatically connect the points. Remember to plot from left to right. Paolo’s Demand Sharon’s Demand Market Demand 0 4 8 12 16 20 24 6 5 4 3 2 1 0 PRICE (Dollars per cone) QUANTITY (Cones)
Answer:
Altogether they made $24 which is enough to earn $12 each
Step-by-step explanation:
Important information:
1 cup: $0.75
4 cups = 1 quart
8 quarts of lemonade altogether
If we are looking to solve for the revenue earned based on quarts, we must first solve for how much money they make on 1 quart
Since 1 cup sells for $0.75 and 4 cups makes up a quart, we must multiply
0.75 × 4 = 3
They make $3 per 1 quart
We are looking for the amount for 8 quarts though, not just 1. Again we must multiply
3 × 8 = 24
They will make $24 if they sell all 8 quarts
The questions ask if they will <em>each</em> earn $12
Since there are two of them, Miles and Lucy, we must divide revenue earned by 2, the number of people
24 ÷ 2 = 12
$12
Answer:
V = (1/3)πr²h
Step-by-step explanation:
The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.
Cylinder Volume = πr²h
Cone Volume = (1/3)πr²h
where r is the radius (of the base), and h is the height perpendicular to the circular base.
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<em>Comment on area and volume in general</em>
You will note the presence of the factor πr² in these formulas. This is the area of the circular base of the object. That is, the volume is the product of the area of the base and the height. In general terms, ...
V = Bh . . . . . for an object with congruent parallel "bases"
V = (1/3)Bh . . . . . for a pointed object with base area B.
This is the case for any cylinder or prism, even if the parallel bases are not aligned with each other. (That is, it works for oblique prisms, too.)
Note that the cone, a pointed version of a cylinder, has 1/3 the volume. This is true also of any pointed objects in which the horizontal dimensions are proportional to the vertical dimensions*. (That is, this formula (1/3Bh), works for any right- or oblique pyramid-like object.)
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* in this discussion, we have assumed the base is in a horizontal plane, and the height is measured vertically from that plane. Of course, any orientation is possible.
