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2 years ago

Four friends are order pizza from a take away.

Mathematics

1 answer:

Butoxors [25]2 years ago

3 0

Answer:

Sam ate the most pizza.

Step-by-step explanation:

Mathew: 0.8 is equal to 80%

To get a percentage, you need to move the decimal two places to the right.

Lily: 3/4 = 75%

George: 77%

Sam: 82%

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2 years ago

Leon has a container filled with 250 lollipops. If he eats 3 lollipops a day, which expression can be used to represent the amou

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Step-by-step explanation:

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3 years ago

Does anyone know a rule that work for all of these

Oxana [17]

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3 years ago

Assume that the side of each small square is 3 inches long. Find the total surface area of the rectangle prism represented by th

maxonik [38]

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Step-by-step explanation:

8 0

3 years ago

Integration: How would I get to this answer?

Scrat [10]

Given that $y$ attains a maximum at $x=1$ , it follows that $y'=0$ at that same point. So integrating once gives

$\displaystyle\int\frac{\mathrm d^2y}{\mathrm dx^2}\,\mathrm dx=\int-8x\,\mathrm dx$
$\dfrac{\mathrm dy}{\mathrm dx}=-4x^2+C_1$
$\implies -4(1)^2+C_1=0\implies C_1=4$

and so the first derivative is $y'=-4x^2+4$ .

Integrating again, you get

$\displaystyle\int\frac{\mathrm dy}{\mathrm dx}\,\mathrm dx=\int(-4x^2+4)\,\mathrm dx$
$y=-\dfrac43x^3+4x+C_2$

You know that this curve passes through the point (2, -1), which means when $x=2$ , you have $y=-1$ :

$-1=-\dfrac43(2)^3+4(2)+C_2$
$\implies C_2=\dfrac53$

and so

$y=-\dfrac43x^3+4x+\dfrac53$

7 0

3 years ago