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Math Asked by a SnapAndSolve user · about 18 hours ago

Choose the correct answer. If y varies jointly as x and z, and y = 20 when x = 15 and z = 6, find y when x...

19. Choose the correct answer.
If y varies jointly as x and z, and y = 20 when x = 15 and z = 6, find y when x = 12 and z = 8.
20. Choose the correct answer.
A force of 30 Newtons will compress a spring of 10 meters. What is the spring constant of the spring?

Answer

  1. To solve for y when y varies jointly as x and z, we use the formula y = kxz, where k is a constant. First, find k using the given values: y = 20, x = 15, z = 6.

    20 = k * 15 * 6

    k = 20 / (15 * 6) = 20 / 90 = 2/9

    Now, find y when x = 12 and z = 8:

    y = (2/9) * 12 * 8 = 192/9 = 21 1/3

    The correct answer is 21 1/3.

  2. To find the spring constant k, use Hooke's Law: F = kx, where F is the force and x is the displacement.

    30 = k * 10

    k = 30 / 10 = 3 N/m

    The correct answer is 3 N/m.

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