Help: The equation is in the screenshot

Mathematics

1 answer:

leva [86]1 year ago

7 0

D. 6x²y⁶√2x

Step-by-step explanation:

I hope this helps

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Starks sculpture 30 cubed is a cube with sides 30 inches long. Whats its volume

Zolol [24]

Answer: $27000\text{ cubic inches}$

Step-by-step explanation:

Given : Starks sculpture 30 cubed is a cube with sides 30 inches long.

We know that the volume of a cube is given by :-

$\text{Volume}=(side)^3$

Then , the volume of Starks sculpture 30 cubed will be :

$\text{Volume}=(30)^3\text{ cubic inches}$

$\text{Volume}=30\times30\times30\text{ cubic inches}$

$\text{Volume}=27000\text{ cubic inches}$

Hence, the required volume = $27000\text{ cubic inches}$

7 0

3 years ago

The sum of two positive numbers is 588. minimize the sum of the first and three times the second

Marianna [84]

9514 1404 393

Answer:

{587, 1}

Step-by-step explanation:

The sum will be minimized when the second number is as close to zero as is allowed. If the numbers must be positive integers, the sum is minimized when the numbers are {587, 1}.

If the numbers may be real numbers, then the values that minimize the sum are {588-, 0+}

_____

The "cost" of taking a unit from the sum 588 and assigning it to the second number is that the sum of first and 3 times the second goes up by 3. In order to minimize that sum, the second number must be minimized.

6 0

3 years ago

A glass container can hold 216a^3 cubic cm of water. inside the glass container is a metallic cube with a volume of 64b^3 cubic

xz_007 [3.2K]

Answer:

$16(3a-2b)(4a^2+3ab+2b)$

Step-by-step explanation:

We will be able to fill the glass up to the amount of water possible to hold in the glass, minus the amount in the cube. This means it will be able to hold $216a^3-64b^3=(6a)^3-(4b)^3$ cubic cm of water.

Using the difference of cubes formula(you can prove this by expanding back out again), we get that $(6a^3)-(4b)^3=(6a-4b)((6a)^2+(6a)(4b)+(4b)^2)=(6a-4b)(36a^2+24ab+16b)=8(6a-4b)(4a^2+3ab+2b)=16(3a-2b)(4a^2+3ab+2b)$