1.
jorge four friends. each friend 4 other friends. if the pattern continues, how many people will receive during the sixth round? write your answer as a power. then simplify. show your work

2. evaluate the expression. show your work. 2a^{4} - 3b^{3}
if a = -2 and b = 3

Rectangle abcd is translated to get rectangle a’b’c’d’. rectangle abcd moves units along the x-axis to get rectangle a’b’c’d’. rectangle abcd moves units along the y-axis to get rectangle a’b’c’d’. the algebraic rule that describes this translation is t(x, y), where x = and y = .

Suppose a pendulum is l meters long. the time,t,in seconds that it tales to swing back and forth once is given by t=2.01

Three students each examine the system of linear equations shown. 8x + 4y = 16 8x + 2y = 8 caleb says there is exactly one solution. jeremy says there is no solution. kim says there are infinitely many solutions. which student is correct? provide mathematical reasoning to support your answer. answer in complete sentences. : d