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1. Find the equation of the angle bisector of the angles between the lines 2x + y = 5 and x 2y = 1.2: In how many ways can 5 boys and 3 girls be seated in a round table so that no girls are together?3: Prove that all medians of a triangle are concurrent.4: Show that n2 2 < 2n for all integers n > 2.5: If y = f(x) is defined on a _ x _ b, suppose we rotate the graph of this function around X axis. Calculate the surface are of solid generated.6: Is f(z) = zn + nwz one-to-one?
If there are two toppings available, then the number of pizzas that can be made is 23, or 8 different pizzas.
In a parking lot, there are 84 vehicles. All vehicles are either cars, trucks, or bicycles. There are twice as many trucks as bicycles, and twice as many cars as trucks.
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^9 and outside the cylinder x^2+y^2=1. Find the volume of the volcano.
To determine the number of deer in a preserve, a conservationist catches 468 deer and tags them then lets them loose. Later, 680 deer are caught, 170 of them are tagged. How many deer are in the preserve?
solve for each equation for all values of x2 sin2x - 5 sin x 2 0solve each equation for 0degrees lt x lt 180
the population of a certain species of fish introduced into a lake is described by the logistic equation G(t)=10000/(1+24e^(-1.2t)). Where G(t) is the population after t years. Find the point at which the growth rate of this population begins to d..
Probability & Statistics Questions. A machine produces 12,000 bolts per day, with a 3% defect rate. What is the probability that twelve defective bolts will be found in a sample of 600 bolts?
The members of each basketball team wear numbers on the back of their jerseys. What scale of measurement are these numbers considered?
Prove that (3p+1)^4-1,where p is prime greater than 3,has at least 4 prime distinct factors.
A certain type of bacteria can double its numbers every 20 minutes. Suppose 100 of these cells are in one culture dish and 250 of the cells are in another culture dish. Write and evaluate an expression that shows the total number of bacteria cells..
At noon, ship A is 60 km west of ship B. Ship A is sailing south at 15 km/h and ship B is sailing north at 5 km/h. How fast is the distance between the ships changing at 4:00 PM? (Round your answer to one decimal place.)
A researcher determines there is a significant difference
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