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Find the strongest condition you can that has to be satisfied by a graph that has a path, starting and ending at different places, that includes each vertex at least once and each edge once and only once. Such a path is known as an Eulerian Trail
Let r be the radius on the incircle of tri ABC and a,b,c be the radii of the excircles opposite vertices A, B, and C, respectively. Ilustrate the fact that 1/r = 1/a + 1/b + 1/c. Also, write a proof of this.
From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns.
answer the below question as a discussion form with a minimum of 100 to 150 wordsthe third cognitive learning outcome
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?
The annual income from the certificate of deposit is $200.00 more than the annual income from the mutual fund. How much money was put into each type of investment?
Solve the given system of linear equations using Cramer's Rule. Create each of the following during your work: Det A, Det Ax, and Det Ay .
what is the smallest possible value for x4?
In the study described in Problem 13, suppose the mean bmi at 16 weeks gestation is 28.5 with a standard deviation of 3.6 and that bmi is assumed to follow a normal distribution. Find the following: the proportion of women with a bmi greater than ..
bill invests 7100 in a savings account that compounds interest continuously at an apr of 4.7. ted invests 7300 in a
Each tire on an automobile has a radius of 1.25 feet. How many revolutions per minute does a tire make when the automobile is traveling at a speed of 88 feet per second?
A projectile is fired in the direction v = (1; 2; 3) from the point (1; 1; 1). The target is a disk of radius 2 centered at (2; 3; 6) in the plane 2x - 3y + 4z = 19. If the projectile moves in a straight line, does it hit the target?
What is the probability that the nut fits the bolt? (Note: the sample space consists of all pairs of nuts and bolts, and each pair is equally likely to be chosen.)
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