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The equation of a circle, C, is x^2 + y^2 + 6x - 8y +9=0.
Find the center of C and find the radius of C.
Show that the C touches the x-axis.
Find the equation of the circle which is a reflection of C in the y-axis
These probabilities represent the probability of one container out of the total sample having the specified characteristics. Half the containers are filled on machine I and the other half are filled on machine II.
Determine whether the binary relation R on Z, where aRb means a^2 = b^2, is reflexive, symmetric, antisymmetric, and/or transitive.
Find the area of the region bounded by the parabola y = 5x2, the tangent line to this parabola at (1, 5), and the x-axis.
use dimensional analysis to convert the quantity to the indicated units. If necessary, round the answr to two decimal places. 1) 70 in. to ft.
describe an induction process. how does induction process differ from a process of simple
What is the most that it is willing to bribe an inspector to allow it to use another unit of input 1?
Three-person Problem of Points
Suppose K is a conjugacy class of S_n (the symmetric group), with K consisting of even permutations. Suppose that x in K. Show that K splits into two conjugacy classes
The length of a rectangle is 2 cm more than 5 times its width. If the area of the rectangle is 65 cm2, find the dimensions of the rectangle to the nearest thousandth.
which relationship can best be described as casual?
Seawater has density 1025 kg/m3 and flows in a velocity field v = y i + x j, where x, y, and z are measured in meters and the components of v in meters per second. Find the rate of flow outward through the hemisphere x2 + y2 + z2 = 144, z ≥ 0.
A solution was prepared by mixing 4.00 ml 0.20 M NH3, 1.00 ml of 0.20 M HCl, and 5.00 ml of water. Calculate the concentration of NH3 and NH4+ in the final diluted solution.
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