Solve the problem.The diagram shows the roads connecting four cities.WX
YZ How many ways are there to travel between cities Y and Z by passing through at most two cities? (Hint: Write a matrix, A, to represent the number of routes between each pair of cities without passing through another city. Then calculate A2 and A3).
A. 18
B. 16
C. 14
D. 17
Answer: D
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Let x be a number. Translate the following into an expression or an equation, as appropriate, and then simplify the expression or solve the equation.5 times a number added to -8 is equal to 13 times the number.
A. 13(5x - 8) = -8; -1 B. 5x + (-8) = 13x; -1 C. 5x + 8x = 13; 1 D. 5x - (-8) = 13x; 1
Graph the function.y = sec
A.
B.
C.
D.
Solve the problem.Halley's comet has an elliptical orbit with the sun at one focus. Its orbit shown below is given approximately by In the formula, r is measured in astronomical units. (One astronomical unit is the average distance from Earth to the sun, approximately 93 million miles.)
Find the distance from Halley's comet to the sun at its shortest distance from the sun. Round to the nearest hundredth of an astronomical unit and the nearest million miles.
A. 12.03 astronomical units; 1119 million miles B. 6.02 astronomical units; 559 million miles C. 5.5 astronomical units; 511 million miles D. 64.11 astronomical units; 5963 million miles
Provide an appropriate response.Consider the statement Sn: 12 + 22 + 32 + ... + n2 = .Write the statement Sk + 1.
A. 12 + 22 + 32 + ... + (k + 1)2 =
B. 12 + 22 + 32 + ... + (k + 1)2 =
C. 12 + 22 + 32 + ... + (k + 1)2 =
D. 12 + 22 + 32 + ... + k2 =