9514 1404 393
Answer:
D) x = 2π∕3 and x = –2π∕3
Step-by-step explanation:
The tangent function has asymptotes at ±π/2, so the corresponding values of x are ...
(3/4)x = ±π/2
x = (±π/2)(4/3) = ±2π/3 . . . . matches choice D
Question 1:
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Total points = 100
Total question = 40
Type of questions : 2-points question and 4-points questions
Assumed all 40 questions are 2-points questions.
Total points = 40 x 2 = 80
Difference in points = 100 - 80 = 20 points
Difference in the 2 type of questions = 4 - 2 = 2
Number of 4 marks questions = 20 ÷ 2 = 10
Number of 2 marks questions = 40 - 10 = 30
Answer: There are 10 4-marks questions and 30 2-marks questions.
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Question 2:
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Let x be the number of offices you need to clean.
Total cost = 315 + 4x
Total revenue = 25x
To break even,
315 + 4x = 25x
21x = 315
x = 15
Answer: You need to clean 15 offices to break even.
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Question 3:
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Total distance (including return trip) = 255 + 255 = 510 miles
Total time taken = 1.7 + 1.5 = 3.2 hours
Speed = Distance ÷ time
Speed = 510 ÷ 3.2 = 159.38 miles/hour
Answer: The average speed is 159.38 miles/hour
Answer: 1st is if it’s 2 legs second is if it’s a leg and hypotenuse
Step-by-step explanation:
Answer:
3 seconds
Step-by-step explanation:
It's quite simple. First, add 5cm to the progress of the insect, counting it as 1 second. Then subtract 2cm because it falls over the next second, thus taking another second. Then finally, plus 5cm, making it 3 seconds. It's not 4 seconds because at 3 seconds it had already reached the top.
If I didn't clear everything or messed up, please comment.