Use your knowledge of the listed sets to draw a A Venn diagram illustrating the relationships among them.real numbers, integers, positive numbers, negative numbers, irrational numbers
What will be an ideal response?
Answers may vary. One possibility:
Note that there is exactly one element in region I, since the number 0 is the only integer that is neither negative nor positive. Note also that there are no elements in region II, since each irrational number is either negative or positive.
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Solve the problem.A rocket is 34 feet from a satellite when it begins accelerating away from the satellite at a constant rate of 20 feet per second per second. The distance, in feet, between the rocket and the satellite is modeled by 
where t is the number of seconds since the rocket started accelerating. Use the model to find and interpret the result when t = 9.
A. When t = 9, P = 844; After 9 seconds, the distance between the rocket and the satellite is 844 feet. B. When t = 115, P = 9; After 115 seconds, the distance between the rocket and the satellite is 9 feet. C. When t = 124, P = 9; After 124 seconds, the distance between the rocket and the satellite is 9 feet. D. When t = 9, P = 810; After 9 seconds, the distance between the rocket and the satellite is 810 feet.
Use inductive reasoning to predict the next line in the pattern.(5 × 1) × (2 × 1) = 10(5 × 10) × (2 × 2) = 200(5 × 100) × (2 × 3) = 3000
A. (5 × 1000) × (2 × 4) = 40,000 B. (5 × 1000) × (2 × 4) = 4000 C. (5 × 1000) × (2 × 4) = 45,000 D. (5 × 1000) × (2 × 4) = 35,000
Multiply.315 × 7
A. 2205 B. 2215 C. 2305 D. 2105
Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.
?
?
A. 
; relative maximum value: 
B. 
; relative minimum value: 
C. 
; saddle point: 
D. there are no critical points