For online courses, like those in eCore, there is a positive correlation between the amount of time spent in the course and the course grade. The following table presents, for a sample of students in an eCore class, the average number of minutes spent in the course each week (x) and the overall course grade (y). Minutes 345.6 360.1 19.8 135.9 217.3 71.1 Grade 83.6 95 31.5 73.7 87.1 4.8 Compute the least-squares regression line, rounding b0 and b1 to two decimal places. Use the least-squares regression line to predict the course grade of a student in the course who spent an average of 81 minutes in the course each week. Round your answer to one decimal place. Write only a number as your answer.

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

Write the equation in logarithmic form e^x=403.429

Jude is making cement for a driveway. the instructions show the amount of each ingredient to make 1 batch of cement. complete each statement to adjust the ingredients for each new situation if jude uses these instructions.