Why does multiplying by 10 shift each digit one place to the left?

1 answer:

6 0

as we move down the list as we push the *digits* to the *left*through the decimal *point* *each* *number has been 10*. and so we can easily *multiply* or divide by *a* power of *10* because of our system of positional numeration. Each Place belongs to the next power of *10*.

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The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum

wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information: $P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000$ , where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

$\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2$

Equating it to zero we get,

$x^2 + 36x - 6400 = 0$

We use the quadratic formula to find the values of x:

$x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}$ , where a, b and c are coefficients of $x^2, x^1 , x^0$ respectively.

Putting these value we get x = -100, 64

Now, again differentiating

$\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x$

At x = 64, $\displaystyle\frac{d^2(P(x))}{dx^2} < 0$

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0

3 years ago

Which of the following segments is a diameter of O? A. UF B. WM C. WO D. OF

pishuonlain [190]

Answer:

The answer to your question is letter A

Step-by-step explanation:

In the picture, we can observe that

UF is the diameter of the circle. Diameter is a line that reaches from one point on the edge of a circle, through its center, to a point on the opposite side.

WM is a secant or a chord

WO is the radius

OF is also a radius

4 0

3 years ago

What is the value of "h"?

kotegsom [21]

Answer:

h = 76

Step-by-step explanation:

2 + h - 48 = 30

h + 2 - 48 = 30