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4 years ago

Evaluate the expression for x=5, y=3,and z=1/4. 5x−6y+20z/4yz

2 answers:

4 0

Just substitute each number into the expression:
5(5) - 6(3) + 20(1/4)/4(3)(1/4) = 25 - 18 + 5/3 = 7 + 5/3 = 26/3 or 8 and 2/3.

Semmy [17]4 years ago

3 0

5 * 5 - 6 * 3 + 20 * 1/4 / 4 * 3 * 1/4 = 7.9 i think its right
hope this helped

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Answer:

The value of the test statistic is 2.8.

Step-by-step explanation:

The test statistic is:

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The value of the test statistic is 2.8.

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Answer: Approximately 1.9 atm

============================================

Work Shown:

$P_1*V_1 = P_2*V_2 \ \text{ ... Boyle's Law}\\\\4.5*1.5 = P_2*3.5\\\\6.75 = P_2*3.5\\\\P_2*3.5 = 6.75\\\\P_2 = \frac{6.75}{3.5}\\\\P_2 \approx 1.92857142857142\\\\P_2 \approx 1.9\\\\$

If the volume is 3.5 liters, then the pressure is approximately 1.9 atm.

Note the increase in volume leads to the reduction of pressure, and vice versa. The two variables have an inverse relationship.

-----------

As a check,

$P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.9*3.5\\\\6.75 \approx 6.65\\\\$

We don't get the exact thing on both sides, but the two sides are close enough. We have rounding error due to P2 being not exact.

A more accurate check could be

$P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.92857*3.5\\\\6.75 \approx 6.749995\\\\$

which has the two sides much closer to one another. This helps us verify the answer.

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