PLS I AM IN NEED! WILL GIVE BRAINLIEST, POINTS, VOTE 5, AND THANKS HURRY

Part A: The sun produces 4.1 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.15 ⋅ 105 seconds? Show your work. (5 points)

Part B: Which is the more reasonable measurement of the diameter of a human hair:
1.95 ⋅ 10−2 mm or 1.95 ⋅ 102 mm? Justify your answer.

For the given quadratic equation convert into vertex form, find the vertex and find the value for x=6 y=-2x^2+2x+2

Sarah used her calculator to find sin 125 degrees. she wrote down sin sin125 degrees.57. how could sarah recognize that her answer is incorrect?

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?