Evaluate the expression using exponential rules. Write the result in standard notation.(4 x 105) x (5 x 102)

A. 2,000,000,000
B. 20,000,000,000
C. 200,000,000
D. 20,000,000


Answer: C

Mathematics

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Consider the logistic equation. Find the equilibrium solutions. A detailed direction field is not needed. Assume  and P'(t) = 0.1P

A. P = 0 and P = 900 B. P = 0 and P = 1800 C. P = 1800 D. P = 0 and P = 3600

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Find the probability of the event.Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice will be 4?

A.  
B.  
C. 3
D.  

Mathematics

Solve the absolute value equation. = 

A. x = 
B. x = 
C. no solution
D. x = 

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Find the vertex, focus, and directrix of the parabola with the given equation.(x - 4)2 = 8(y - 1)

A. vertex: (4, 1)   focus: (4, -1)   directrix: x = 3 B. vertex: (4, 1)   focus: (4, 3)   directrix: y = -1 C. vertex: (-4, -1)   focus: (-4, 1)   directrix: y = -3 D. vertex: (1, 4)   focus: (1, 6)   directrix: y = 2

Mathematics