Algebra EE Review ELE431L Quiz
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Questions and Answers

If Kevin's private jet flies from Los Angeles to San Francisco in 3 hours, and back in 2-7/19 hours, what is the velocity of the wind?

  • 24 mph (correct)
  • 25 mph
  • 18 mph
  • 20 mph
  • How much water must be added to 8 gallons of an 80% boric solution to reduce it to a 50% solution?

  • 4 gal
  • 4 4/5 gal
  • 5 3/5 gal
  • 5 gal (correct)
  • If the sum of three numbers in an arithmetic progression is 15, and the sum of their squares is 83, what are the three numbers?

  • 5, 7, 9 (correct)
  • 3, 5, 7
  • 1, 7, 8
  • 1, 3, 5
  • A besieged fortress is held by 5,700 men who have provisions for 66 days. If the garrison loses 20 men each day, for how many days can the provisions hold out?

    <p>76 days</p> Signup and view all the answers

    What is the value of $f(x + 1) - f(x)$ if $f(x) = 10^x + 1$?

    <p>$9(10^x)$</p> Signup and view all the answers

    What are the values of $n$ if $(2n - 6)$ is greater than 1 but less than 14?

    <p>4, 5, 6, 7, 8, 9</p> Signup and view all the answers

    What is the value of $( ext{sq. rt. of } -10) imes ( ext{sq. rt. of } -7)$?

    <p>$-(sq. rt. of 70)i$</p> Signup and view all the answers

    If two engineers are replaced by nurses and 51% of the group becomes nurses, how many engineers and nurses initially existed?

    <p>100</p> Signup and view all the answers

    Determine the value of $k$ so that the sum of roots of $3kx^2 + 3k^2 - 4kx = 5 - 3x$ exceeds the product of roots by 3.

    <p>-2, 1/3</p> Signup and view all the answers

    When the polynomial $x^3 + 4x^2 - 3x + 8$ is divided by $x - 5$, what is the remainder?

    <p>45</p> Signup and view all the answers

    What are the two arithmetic means that can be inserted between -22 and -4?

    <p>-28, -32</p> Signup and view all the answers

    If two numbers differ by 40 and their arithmetic mean exceeds their positive geometric mean by 2, what are the numbers?

    <p>80, 120</p> Signup and view all the answers

    At what time between 8 and 9 o’clock will the minute hand coincide with the hour hand?

    <p>8:43.6</p> Signup and view all the answers

    At what time after 12:00 NN will the hour hand and minute hand of the clock first form an angle of 120 degrees?

    <p>12:21.818</p> Signup and view all the answers

    If A and B can do a piece of work in 42 days, B and C in 31 days, and C and A in 20 days, how many days can all of them do the work together?

    <p>15</p> Signup and view all the answers

    What are the two numbers if their difference is 40 and their positive geometric mean exceeds their arithmetic mean by 2?

    <p>-32, -8</p> Signup and view all the answers

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