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A square's side is increased by 9 yards, which corresponds to an increase in the area by 243 square yards. How many yards is the side of the initial square?
Hamilton Quaternions : Kernels and Images, Show that the map phi: H->M_2(C) defined by phi(a+bi+cj+dk)=(a+b(sqrt -1),c+d(sqrt-1);-c+d(sqrt-1),a-b(sqrt-1)) is a ring homomorphism
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?
In a school of 420 students, 147 students are in the band, 245 students are on sports teams, and 63 participate in both activities. How many students do not participate in band or sports?
the number of tickets sold each day for an upcoming perfomance of Hendel's Messiah is given by N(x)=-0.4x^2+8x+10, where x is the number of days since the concert was announced.when will daily ticket sales peak and how many tickets will be sold th..
The braking distance y in feet that it takes the car to stop on wet, level pavement can be estimated by y=1/16x^2, where x is the speed of the car in miles per hour. Find the speed associated with the braking distance of 169 feet.
The cost per unit of producing each product will be determined by whether a new union labor contract passes or fails. The cost per unit of each product, giving each contract result is shown in the following pay off table.
The length of the transverse axis is 8, and the length of the blue line segment is 7. How long is the red line segment?
A solid disk of radius R is composed of two different materials. For r R=2. Calculate the moment of inertia about an axis through the center and perpendicular to the disk, expressed solely in terms of the total mass M and radius R.
A point on the bank directly across the river is sighted from another point 200 feet downstream at an angle of 67° 13' . Find the width of the river.
Let X be uniform on the set {1/2,1/3,1/4}, and let the distribution of Y |X = x be geometric with parameter x; that is, P(Y = k|X = x) = (1 - x)kx, for k = 0,1,2,..
Find the slope of the line 2x + y = 4. Find the point of intersection of the lines x + y = 5 and 3x - y = 7. Graph the pair of lines.
Write the definition of a class Counter containing
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