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spin [16.1K]
3 years ago
14

Simplify the expression. Assume all variables represent positive real numbers.∛864

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0
\bf \sqrt[3]{864}\qquad 
\begin{cases}
864\to 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 3\cdot 3\\
\qquad 2^3\cdot 2^2\cdot 3^3
\end{cases}
\\\\\\
\sqrt[3]{\boxed{2^3}\cdot 2^2\cdot \boxed{3^3}}\implies \boxed{2}\cdot \boxed{3}\sqrt[3]{2^2}\implies 6\sqrt[3]{4}
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the volume, v of a sphere is given by its radius, r, in the formula v=4/3(pi)(r^3) what is the formula for the radius given the
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Volume (denoted 'V') of a sphere with a known radius (denoted 'r') can be calculated using the formula below:

V = 4/3(PI*r3)

In plain english the volume of a sphere can be calculated by taking four-thirds of the product of radius (r) cubed and PI.

You can approximated PI using: 3.14159. If the number you are given for the radius does not have a lot of digits you may use a shorter approximation. If the radius you are given has a lot of digits then you may need to use a longer approximation.

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4 0
3 years ago
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Mashutka [201]
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6 0
3 years ago
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jarptica [38.1K]
First, find slope of point A and B using slope formula:
<u>y2-y1</u> = <u>7-0 </u>= <u>-7</u>
x2-x1    3-8     5

Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=<u>-7</u>(x-3)   (I used point B here)
        5
y=<u>-7x</u> +<u>56</u> so the y-intercept is <u>56</u>. Hurray! Part 1 down!
<span>     5      5                                   5

Now to answer part 2. Since AB ll CD, they have the same slope: <u>-7</u>
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Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
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<span>        5
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3 years ago
I need help with #11 and #12 how do I do this?
USPshnik [31]

Answer:

  11. x = 6; y = 6.5

  12. x = 2; y = 4

Step-by-step explanation:

In each figure, the hash marks on the lines indicate the parallel lines (marked with red arrows) are equally-spaced. That means the two expressions involving x are equal to each other, and the two expressions involving y are equal to each other.

__

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__

12. x +3 = 3/2x +2

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  2 = x . . . . . . . multiply by 2

and

  2y -1 = 3y -5

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