A company wants to sell blocks of cheese in the shape of rectangular prisms, as shown. Each block of cheese must have a volume that is a rational number. Which of the following can be the length (l), width (w) and height (h) of a block of cheese?

A
l=2√ , w=3 , h=6

B
l=2√ , w=33√ , h=26√

C
l=2 , w=33√ , h=26√

D
l=2√ , w=32√ , h=62√

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

Aman is 6 feet 3 inches tall. the top of his shadow touches a fire hydrant that is 13 feet 6 inches away. what is the angle of elevation from the base of the fire hydrant to the top of the man's head?

Find the center and the radius of the circle with the equation: x^2-2x+y^2+4y+1=0?