Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism 20\text{ cm}20 cm20, start text, space, c, m, end text wide by 28\text{ cm}28 cm28, start text, space, c, m, end text long. Whitney puts 1848\text{ cm}^31848 cm 3 1848, start text, space, c, m, end text, cubed of batter into the pan. How deep is the cake batter?

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

(c) a vine called the mile-a-minute weed is known for growing at a very fast rate. it can grow up to 0.5 ft per day. how fast in inches per hour can the mile-a-minute weed grow up to? show your work using the correct conversion factors.

What is the remainder when 3x^2-x-10 is divided by x-1 -6,-7,-8, or -9