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Zepler [3.9K]
3 years ago
7

Suppose that c(x)= (7x^3) - (84x^2) + (22,000x) is the cost of manufacturing x items. Find a production level that will minimise

the average cost of making x items. At this level, the average cost of making x items is how much?
Mathematics
1 answer:
ra1l [238]3 years ago
4 0

Answer:

54

Step-by-step explanation:

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Find two unit vectos that are orthogonal to both [0,1,2] and [1,-2,3]
alekssr [168]

Answer:

Let the vectors be

a = [0, 1, 2] and

b = [1, -2, 3]

( 1 ) The cross product of a and b (a x b) is the vector that is perpendicular (orthogonal) to a and b.

Let the cross product be another vector c.

To find the cross product (c) of a and b, we have

\left[\begin{array}{ccc}i&j&k\\0&1&2\\1&-2&3\end{array}\right]

c = i(3 + 4) - j(0 - 2) + k(0 - 1)

c = 7i + 2j - k

c = [7, 2, -1]

( 2 ) Convert the orthogonal vector (c) to a unit vector using the formula:

c / | c |

Where | c | = √ (7)² + (2)² + (-1)²  = 3√6

Therefore, the unit vector is

\frac{[7,2,-1]}{3\sqrt{6} }

or

[ \frac{7}{3\sqrt{6} } , \frac{2}{3\sqrt{6} } , \frac{-1}{3\sqrt{6} } ]

The other unit vector which is also orthogonal to a and b is calculated by multiplying the first unit vector by -1. The result is as follows:

[ \frac{-7}{3\sqrt{6} } , \frac{-2}{3\sqrt{6} } , \frac{1}{3\sqrt{6} } ]

In conclusion, the two unit vectors are;

[ \frac{7}{3\sqrt{6} } , \frac{2}{3\sqrt{6} } , \frac{-1}{3\sqrt{6} } ]

and

[ \frac{-7}{3\sqrt{6} } , \frac{-2}{3\sqrt{6} } , \frac{1}{3\sqrt{6} } ]

<em>Hope this helps!</em>

7 0
2 years ago
This chart lists four elements from the periodic table.
liq [111]

Answer:

calcium and gold

Step-by-step explanation:

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2 years ago
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(4x^2+24x+32)/(2x^2-2x-12)
krek1111 [17]
2 · (x+4)/x-3 Is the answer. I hope it helps.
4 0
3 years ago
What's the best first step in solving-4 + 2/5 &gt; 5/10
Artyom0805 [142]

Answer:

B

Step-by-step explanation:

There are 2 operations happening on the left side to x.

1. x is being multiplied by -4.

2. 2/5 is being added to -4x.

If you had a number for x, and you wanted to evaluate the left side, first, you would multiply the value of x by -4. Then you would add 2/5.

To solve an equation or an inequality, you do the opposite operation in the opposite order.

Since the second operation was add 2/5, to solve, you start by doing the opposite of the second operation. That means you subtract 2/5 from both sides.

Answer: B

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2 years ago
Marco is 6 feet 3 inches tall. There are 2.54 centimeters in 1 inch. What is Marcos height in centimeters?
Anton [14]
190.5 centimeters tall.
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