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A rescue Helicopter at an altitude of 200 m spots two lost girls at the same time. Xavia is at an angle of depression of 13 degree. Yelena is at an angle of depression of 13 degree. From a point on the ground directly below (B) the Helicopter, Yelena is at an angle bearing of 120 degree, Xavia is at a bearing of 240 degree. How far apart are the two girls?
An automobile manufacturer produces 7 models, each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobiles are available?
If the graph of a function has three x intercepts, then it must have at least two points at whch its tangent line is horizontal. If f'(x) = 0 for all x in the domain of f, then f is a constant function.
If a plant was designed to produce 7,000 hammers per day but is limited to making 6,000 hammers per day because of time needed to change equipment between styles of hammers, what is the utilization? Format as xx.x% (include the % sign.)
Two rainstorms occurred in one week in a certain area. In the first storm 25ml of rain fell per hour, and in the second storm 20ml of rain fell per hour. Rain fell that week for a total of 75 hours for a total rainfall of 1700ml.
Graph of the function - Find an accurate graph of the function.
Calculate the simple linear regression equation
Find the 95% confidence internal for the standard deviation
Use the Midpoint Rule, with n=4, to approximate the area of the region bounded by f (x)=x^3 -8x^2+16x and the x-axis between x=0 and x=4. Round answer to two decimal places.
Find all subfields of Q ( sqrt2, sqrt 3) with proof that you have them all. What is the minimal polynomial of sqrt2+ sqrt3? Which subfields does it generate over Q?
What exactly is an improper integral? Why is there a difference between improper and proper integrals?
Please solve for the following system of equations. Include all of the steps which are involved:
Let R(t) be the field of rational functions. Answer the following (with proofs): If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?
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