The safe depth for a submarine is -500 feet. A company built a submarine that has a safety feature to automatically raise the submarine to the safe depth if it goes too deep. To test this feature, the submarine dove to \( -800 \frac{3}{8} \) feet. The safety feature raised the submarine \( 26 \frac{1}{2} \) feet per minute. How much time did it take the submarine to reach the safe depth? (Answers are to the nearest tenth of a minute.)

Determine whether the following statment is true or false. The graph of \( y=\frac{1}{7} g(x) \) is the graph of \( y=g(x) \) stretched by a factor of 7 . Choose the correct answer below. A. True, because the graph of the new function is obtained by adding 7 to each \( x \)-coordinate. Balse, because the graph of the new function is obtained by multiplying each \( y \)-coordinate of \( y=g(x) \) by \( \frac{1}{7}<1 \). C. True, because the graph of the new function is obtained by multiplying each \( y \)-coordinate of \( y=g(x) \) by 7 and \( 7>1 \). D. False, because the graph of the new function is obtained by adding 7 to each \( x \)-coordinate.

Find the domain of the logarithmic function. \( f(x)=\log (2-x) \)

Determina il valore dell'espressione in notazione scientifica : \[ \left(1,2 \cdot 10^{3}-19 \cdot 10^{2}\right)^{2}:\left(0,07 \cdot 10^{3}\right) \cdot 0,03 \]

A 25 -year old woman burns \( 350-70 t \) cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is \( 135 t \) calories during the \( t \) th hour. What is her net decrease in calories after walking for 4 hours?

Diketahui fungsi tujuan meminimumkan \( Z=x+5 y \) dengan pembatas-pembatas sebagai berikut \( x+y \leq 8 \) \( 2 x-3 y \leq 6 \) \( x \leq 5 \) \( y \geq 1 \) a. gambarkan daerah layak b. tentukan Z minimum