in an art class, the student were asked to make and design an open box with the volume of 64cm3 by cutting a square of the same size of the each corner of a square piece of card board 12 cm on the side and folding up to the edge. what is the length of a side of the square that is cut from each corner?

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

The parabola opens: y=√x-4 (principal square root) up down right left

Evaluate the expression for the given value of the variable 2×(c2-5) for c=4