Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.4logby + 3logbz

A. logb(yz)7
B. logby4z3
C. 12logbyz
D. 7logbyz


Answer: B

Mathematics

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Consider the logistic equation. Find the equilibrium solutions. A detailed direction field is not needed. Assume  and P'(t) = 0.05P

A. P = 400 B. P = 0 and P = 800 C. P = 0 and P = 400 D. P = 0 and P = 200

Mathematics

Use the order of operations to find the value of the expression.2(-4)2 - 3(-2)2

A. -4 B. 116 C. 20 D. 28

Mathematics

Angela and Ben want to divide fairly the chocolate-strawberry cake shown below using the divider-chooser method. The total cost of the cake was $6.00. Angela values strawberry three times as much as she values chocolate, while Ben values chocolate twice as much as he values strawberry. Angela and Ben decide to use Divider-Chooser to divide the cake fairly. If Angela is the divider, which of the divisions shown below is a possible division of the cake that Angela might make? 

A. Division 2 B. Division 1 C. Division 3 D. all of these E. none of these

Mathematics

Solve the polynomial equation.-2x5 + 2x4 + 6x3- 6x2 + 8x - 8 = 0

A. x = -2, -2, 1 B. x = 2, -2, 1, ±i C. x = 2, 2, -1, i D. x = -2, 2, -1, ±i

Mathematics