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2 years ago

Find the value of x in the equilateral triangle. Х 3 in

Mathematics

1 answer:

swat322 years ago

6 0

Answer:

x≈3.35, or the square root of 11.

Step-by-step explanation:

Use the pythagorian therom. 3²+1.5²=x²

(Half of 3 is 1.5 and the line splits it in half)

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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

2 years ago

Mike’s doctor recommended that he increase the time he exercises each day from 20 minutes to 30 minutes. By what percent did the

dimaraw [331]

Answer:

1 dsd

Step-by-step explanation:

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2 years ago

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Determine the x-intercept, y-intercept and slope of the line described by - 3x + 7y = –21 (Which is not proper Standard Form bec

inessss [21]

Slope = 3/7

y - intercept: y = -3

x - intercept x = 7

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3 years ago

What is the square of 215

Natali5045456 [20]

Aprox 14.663
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2 years ago

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Determine the domain of the function.<br><br> f(x)=4/x^2

harkovskaia [24]

Since x can be any value as long as the denominator equals 0 (it doesn't matter if it's positive or negative), we have to figure out when x^2=0, which is when x=0. Therefore, the domain is (-inf, 0) U (0, inf)

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2 years ago