The slope of the line 3x - y = 4 between x = 3 and x = 6 is 3. What is t he slope between the interval x = 12 and x = 15?
1 answer:
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Problem 13
If we want to multiply (x^3-3x^2+2x) with (x^3-2x^2+x), then we can set up a diagram shown below. The terms are along the outside. The stuff inside is the result of multiplying each pair of outer terms.
- Example: x^3 times x^3 = x^6 in the top left corner
- Another example: 2x times x = 2x^2 in the bottom right corner.
This is known as the box method to keep track of all the terms multiplied.
Once the table is filled out, we add up each term inside the boxes. Combine like terms if possible. Notice that I color-coded the like terms (eg: the x^3 terms are in green boxes).
The final answer is x^6 - 5x^5 + 9x^4 - 7x^3 + 2x^2
Answer:
No, the cone will not hold all of the ice cream.
Step-by-step explanation:
Given:
" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a height of 6 inches.
If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let it melt.
Now, to explain mathematically will the cone hold all of the ice cream.
<u>Taking the value of π = 3.14.</u>
So, to get the volume of waffle cone we put formula:
Height (h) = 6 inches.
Diameter =
Thus radius (r) = Diameter ÷ 2 =
The volume of waffle cone = 10.78 inches³.
Now, to get the volume of scoop which is in the shape of sphere we put formula:
Diameter =
Thus radius (r) = Diameter ÷ 2
<em>The volume of one scoop of ice cream = 12.47 inches³.</em>
<u><em>So, as the volume of scoop of ice cream is more than the volume of cone.</em></u>
<u><em>Thus, if placing one scoop of ice cream in the cone and let it melt, the cone will not hold all of the ice cream.</em></u>
Therefore, no the cone will not hold all of the ice cream.