3 years ago

Rewrite the expression in its simplest form

Mathematics

1 answer:

Reptile [31]3 years ago

4 0

Answer:

$2\sqrt[3]{x^{2}y^{2} }$

Step-by-step explanation:

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luis makes a 4% commision on his sales in a sporting goods store. For a $70 purchase, how much commision does Luis earn?

Fiesta28 [93]

He made $2.80 because if you multiply 70 by .04 it’s 2.8

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3 years ago

A bag of marbles contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble. What is the probability of reachi

hodyreva [135]

Step-by-step explanation:

$6 + 2 + 4 + 1 = 13 \\ p = \frac{2}{13}$

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3 years ago

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Solve using a suitable inverse operation:

Olenka [21]

Answer:

a = - 10

Step-by-step explanation:

Given

$\frac{a}{5}$ = - 2

a is divided by 2. The inverse operation to division is multiplication, thus

Multiply both sides by 5 to clear the fraction

a = 5 × - 2 = - 10

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3 years ago

B. Create an equation and sketch a graph that:

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Answer:

Step-by-step explanation:

Yes.

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2 years ago

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What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out

Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides $12-2x$ and $16-2x$ , and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

$(12-2x)(16-2x)x = 4x^3-56x^2+192x$

The derivative of this function is

$12x^2-112x+192$

and it equals zero if and only if

$12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}$

If we evaluate the volume function at these points, we have

$f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)$

So, the maximum volume is given if you cut a square with side length

$x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7$

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3 years ago