Recent Science/Math Questions

 Q1.Calculate the work done in moving a 4-C charge from B(1, 0, 0) to A(0, 2, 0) along the path y = 2 – 2x, z = 0 in the field ??? = 5??^V/m.

Q2.Darter Ltd has recently acquired a machine for an invoice price of $50 000. Various other costs relating to the acquisition and installation of the machine include transportation, electrical wiring, and preparing a platform for installation. These amounted to $7500. The machine has an estimated useful life of 10 years, with no residual value at the end of that period. One of the accounting team has suggested that the incidental costs of $7500 be charged to expense immediately for the following reasons.1. If the machine is sold, these costs cannot be recovered in the sales price.2. The inclusion of the $7500 in the machinery n the records will not necessarily result in a closer approximation of the market price of the asset over the years because of the possibility of changing demand and supply levels.3. Charging the $7500 to expense immediately will lower the depreciation expense in future years.
Q3. The time taken for cessation of bleeding was recorded for a large number of persons whose fingers had been pricked. The mean time was found to be 1.407 min. In an effort to determine whether pressure applied to the upper arm increases bleeding time, six persons had pressure equal to 20 mmHg applied to their upper arms and had their fingers pricked. For these six persons, the times taken for bleeding to stop were 1.15,1.75, 1.32, 1.28, 1.39, and 2.50min,
Question: Give a 95% confidence interval for the mean bleeding time under pressure for the six persons and draw some conclusion as to whether pressure increases bleeding time.
Q4. The average concentration of iridium in the earth’s crust is 3 x10^(-10)% by weight. The price of iridium is about $14,000/kg. Using equation (Cm˜10/G) to estimate the grade of ore from which iridium.

 Q5. The Weemow Lawn Service wants to start doing snow removal in the winter when there are no lawns to maintain. Jeff and Julie Weems, who own the service, are trying to determine how much equipment they need to purchase, based on the various job types they have. They plan to work themselves and hire some local college students on a per-job basis. Based on historical weather data, they estimate that there will be six major snowfalls next winter. Virtually all customers want their snow removed no more than 2 days after the snow stops falling. Working 10 hours per day (into the night), Jeff and Julie can remove the snow from a normal driveway in about 1 hour, and it takes about 4 hours to remove the snow from a business parking lot and sidewalk. The variable cost (mainly for labor and gas) per job is $12 for a driveway and $47 for a parking lot. Using their lawn service customer base as a guideline, they believe they will have a demand of no more than 40 homeowners and 25 businesses. They plan to charge $35 for a home driveway and $120 for a business parking lot, which is slightly less than the going rate. They want to know how many jobs of each type will maximize their profit. a. Formulate a linear programming model for this problem. b. Solve this model graphically.

Q6. Word limit: 1500 – 1700 words

It is important for community services workers to understand the purpose of social policies, why they are developed, and how they are shaped by the different theoretical perspectives and values of the decision-makers in government. It is often a theoretical or ideological viewpoint that informs social policy decision-making rather than a genuine identified social need or evidence-based research.

For this assessment, you must choose ONE social policy from the list below and the relevant social system it applies to:

      ; Religious institution, Australia’s First Nation People,  Family system

Q7. A 0.350-kg object attached to a spring of force constant 1.30 x102 N/m is free to move ona frictionless horizontal surface. If the object is released from rest at x = 0.100 m

Q8.  Describe or sketch the vertical temperature profile that would cause precipitation that began as snow to reach the ground as each of the following:

-snow, freezing rain, rain

Q9. If you have consumed 500 grams of sugar (C12H22O11) in one week, how many molecules of sugar have you consumed?
Q10. What is the fatigue strength reduction factor of a shaft under bending that has a hardened sled-runner keyway if it were to be used for about 436728 cycles?

 

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