Question A vector's x component is seven times its y component. What is the acute angle between the vector and the +xaxis? A vector's x component is seven times its y component. What is the acute angle between the vector and the +xaxis?

27.42 A copper wire of radius \( 0.500 \mathrm{~mm} \) is carrying a current at the Earth's Equator. Assuming that the magnetic field of the Earth has magnitude \( 0.500 \mathrm{G} \) at the Equator and is parallel to the surface of the Earth and that the current in the wire flows toward the east, what current is required to allow the wire to levitate?

The velocity function, in meters per second, is given for a particle moving along a straight line. (t)= v(t)=t-11f³+28t²; 0≤1≤7 (a) Find the displacement of the particle over the given time interval. Round to two decimal places. (b) Find the total distance that the particle travels over the given time interval. Round to two decimal places. The velocity function, in meters per second, is given for a particle moving along a straight line. (t)= v(t)=t-11f³+28t²; 0≤1≤7 (a) Find the displacement of the particle over the given time interval. Round to two decimal places. (b) Find the total distance that the particle travels over the given time interval. Round to two decimal places.

Use Ammonia properties of liquid and saturated vaport table A single-acting, twin-cylinder 15.25 x 15.25-cm compressor receives saturated ammonia vapor at -18°C and discharges it at 1514.3 kPa. The system is used to produce ice at a final temperature of -10°C from water at 27°C. The compressor runs at 450 rpm with an actual volumetric efficiency of 78%. Assume compression and mechanical efficiencies to be 82% and 88%, respectively. Calculate the following: (a)capacity of the system in tons of refrigeration, (b) brake hp required by the compressor, (c) tons of ice produced per day if compressor runs only 20 hours a day. Assume losses to be 10% of the refrigeration required to produce the ice, and (d) ideal and actual COP.

Conduct independent research and provide an overview of the intent of each of these legal and ethical requirements and how they are applied in an organisation and individual practice. Privacy, confidentiality and disclosure. Duty of care. Dignity of risk. Human rights. Discrimination. Mandatory reporting. Work role boundaries.

Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 2 + 4y2, 1<ys 2

Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 18 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by 1. V ft min