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a doctor's office schedules 15-minute appointments and half-hour appointments for weekdays.The doctor limits these appointments to, at most, 30 hours per week. Write an inequality to represent the number of 15-minute appointments x and the number of half-hour appointments y the doctor may have in a week.
You are standing on a hotel balcony 30 feet up from the ground. You want to throw your key to someone standing outside the hotel on the ground. You throw it angled upward with an initial velocity of 55 ft/sec. Assume that the acceleration due to g..
If n points are equally spaced on the circumference of a circle, what is the probability that three points chosen at random will form a right triangle?
Prove or disprove that the subgroup H is normal in the group G and what is the order of the factor group D8=Z(D8)?
Let phi : R^2 --> R be a function given by phi(x,y) = x^3 + xy + y^3 +1 For which points p =(0,0) , p=(1/3,1/3), p =(-1/3,-1/3) is the subset phi^-1 ( phi(p)) an imbedded sub-manifold of R^2.
estimate the size of the bear population on the keweenaw peninsula, conservationists captured, tagged, and released 50 bears. One year later a random sample of 100 bears included only tagged bears. What is the conservationists estimates of the siz..
If one ball is drawn at random, find the probability it is red. If two balls are drawn, find the probability both are green. If two balls are drawn, find the probability one is red and the other is blue
A tent for a family of 6 is on sale for $109.99. Find the volume of space inside the tent (w= 8ft, l=12ft, h=6ft) for the family to sleep.
general relation between linear algebra and abstract algebra.
Determine whether the following assertion is true or false: if you integrate the Fourier series for the delta function d(x) term by term you obtain the Fourier series for the step function s(x).
Find an equation for the trend line using the method of least squares.
From a total of 15 people, three committees consisting of 3, 4, and 5 people, respectively, are to be chosen. How many such sets of committees are possible if there is no restriction on the number of committees on which a person may serve?
Find the slope and the y-intercept of the line represented by the equation: 2x + y = 14. Write the equation of a line in slope-intercept form with the slope of -4/5 and y-intercept (0, -3)
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