Tasha uses the pattern in the table to find the value of 4-⁴ (the table is in the picture) she uses these steps. Step 1 find a pattern in the table. The pattern is to divide the previous value by 4 when the exponent decreases by 1 . Step 2 find the value of 4-³. 4-³=1/16÷4=1/16x¼=1/64. Step 3 find the value of 4-⁴. 4-⅘=1/64÷4=1/64x1/4=1/256. Step 4 rewrite the value for 4-⁴. 1/256=1/4-⁴. In which step did tasha make the first error?

Asquare parking lot has 6,400 square meters what is the length in meters

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

Which number completes the system of linear inequalities represented by the graph? y> 2x – 2 and x + 4y 2 et 2 3 4