Suppose a body with weight W is pulled along a flat plane by a drag force which acts alongside a string fixed to the body. If the string creates an angle θ with the flat plane, then the drag force is F = μW μ sin θ + cos θ where the coefficient of friction is denoted by μ. Note that μ and W are constants. Determine such a θ for which F is minimum. Also evaluate that minimum value.

The area of square garden is 300m squared. how long is the diagonal?

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

Your company withheld $4,463 from your paycheck for taxes. you received a $713 tax refund. select the best answer round to the nearest 100 to estimate how much you paid in taxes.