Determine if the pairs of expressions below are always equivalent. Prove your answer A. 4n + 12 and 4 (n +3)

B. m + m 3m and 3m + 2

C. 4x + 8y and 4 (x + 8y)

D. 3 (2t + 2 ) and ( t + 1 ) x 6

E. p + p and p + 7
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Use the graph of the sine function y=2sinθ shown below

Zoey made 5 1/2 cups of trail mix for a camping trip. she wants to divide the trail mix into 3/4 cup servings. a. ten people are going on the trip. can zoey make enough 3/4 cup servings so that each person gets one serving? b. what size would the servings need to be for everyone to have a serving?

Asquare has a side that measures 11 units. what is the area of a circle with a circumference that equals the perimeter of the square? use 3.14 for π, and round your answer to the nearest hundredth. 1519.76 units2 379.94 units2 616.56 units2 154.14 units2