Agent Hunt is transferring classified files from the CIA mainframe into flash drive. \( S \) represents the size of the files on the drive (in megabytes) after \( t \) seconds. How many megabytes are transferred every 10 seconds? Show Calculator

The cost, in dollars, to produce \( x \) designer dog leashes is \( C(x)=5 x+4 \), and the revenue function, in dollars, is \( R(x)=-2 x^{2}+45 x \) Find the profit function. \( P(x)= \) Find the number of leashes which need to be sold to maximize the profit. Find the maximum profit. Find the price to charge per leash to maximize profit. Select an answerv answerv What would be the best reasons to either pay or not pay that much for a leash?

Приведи дроби \( \frac{11 z}{8 k-9 z} \) и \( \frac{8 k}{9 z-8 k} \) к общему знаменателю. Выбери все правильные варианты (вариант) ответа: \( \frac{-11 z}{9 z-8 k} \) и \( \frac{-8 k}{9 z-8 k} \) \( \frac{11 z}{8 k-9 z} \) и \( \frac{-8 k}{8 k-9 z} \) другой ответ \( \frac{-11 z}{9 z-8 k} \) и \( \frac{8 k}{9 z-8 k} \) \( \frac{11 z}{8 k-9 z} \) и \( \frac{8 k}{8 k-9 z} \) \( \frac{11 z}{-9 z-8 k} \) и \( \frac{-8 k}{-9 z-8 k} \) \( -\frac{11 z}{9 z-8 k} \) и \( \frac{8 k}{9 z-8 k} \)

г) \( g(x)=\frac{1}{3}(5-2 x)^{-3}, x_{0}=2 \).

Your company is planning to air a number of television commercials during the \( A B C \) Television Network's presentation of the Academy Awards. \( A B C \) is charging your company a variable cost of \( 1,600,000 x-20,000 \sqrt{x} \) dollars for \( x 30 \)-second television spots. Additional fixed costs (development and personnel costs) amount to \( \$ 500,000 \). (a) Write down the cost function \( C \), marginal cost function \( C^{\prime} \), and average cost function \( \bar{C} \). \( C(x)= \) \( \bar{C}(x)= \) \( C^{\prime}(x)= \) \( C^{\prime}(3)= \) \( \bar{C}(3) \) Compute \( C^{\prime}(3) \) and \( \bar{C} \) (3). (Round all answers to the nearest \( \$ 10,000 \).)

a) \( \left[\begin{array}{l}3 x-5 \geq 4 \\ 13-x>-1\end{array}\right. \)