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A plane takes off and ascends at an angle of 10° traveling at 400 miles per hour for 15 mins. Then it levels out and travels at 450 miles per hours for 10 mins. Let θ be the angle of elevation from the airport to the current location of the plane. What is tan(θ)?
Suppose a family plans 6 children, and the probability that a particular child is a girl is 1/2. Find the probability that the 6 child family has exactly 2 girls.
Find the domain and range of the function: f(x)=6xsquared+4. Find the distance between the two plotted points;(-5,2) (4,-4). Using graph of f(x)=x squared as a guide, graph the function; g(x)=(x-3)squared+4
In order to achieve maximum aerobic exercise, one should maintain one's heart rate at a certain level. a 40 year old woman with a resting heart rate of 85 beats per minute should keep her heart rate between 142
A farmer with 720 ft of fencing wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the three pens?
A ferritin test is a popular test to measure a person current iron stores. In women, ferritin is approximately normally distributed with a mean of 89mg/mL and a standard deviation of 23 ng/mL. What is the probability that a woman has a ferritin value..
Suppose you have 3 nickels, 2 dimes, and 6 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
What does the final row of the augmented matrix in echelon form (the above description) tell you about the solution to the system of 5 linear equations?
A drop of oil measuring 0.23 cubic centimeter is spilled onto a lake. The oil spreads out into a circular shape having a diameter of 20 cm. approximate the thickness of the film. Using scientic notation rounding to the nearest hundredth.
In a ring R, an idempotent is an element x ? R such that x * x = x (where * denotes the ring multiplication). Show that if R is an integral domain, then R has exactly two idempotent elements.
A. Find an equation of a stright line passing through the points with coordinates (-1, 5) and (4, -2), giving your answer in the form ax + by + c = 0 , where a, b and c are integers.
Suppose that f (x) is a degree 4 polynomial with coefficients in a field F, and let K be the splitting field of f (x). What are the possible values for [K : F]?
Determine the multiple integral under given condition using spherical coordinate - Determine the following triple integral by converting it to an appropriate coordinate system and integrating.
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