Find the standard equation of the parabola that satisfies the given conditions. Vertex: (0, -4); focus: (0, -6)
A. (y + 4)2 = -8x
B. x2 = -8(y + 4)
C. y2 = -8(x + 4)
D. (x + 4)2 = -8y
Answer: B
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New telephone lines must be installed to connect 8 cities (A, B, C, D, E, F, G, and H). Due to government regulations, the only possible connections that are allowed are shown by the edges on the network below. The numbers on the edges indicate the cost (in millions of dollars) of each possible connection. The telephone company wishes to connect the cities in the cheapest possible way.
The total cost of the optimal solution to this problem is
A. 24 million. B. 22 million. C. 21 million. D. 18 million. E. none of these
Solve the problem.A Company sold 14.7 million dollars of electronics equipment in 2010 and its sales have increased by 2.1 million dollars each year. Company B sold 19.4 million dollars of electronic equipment in 2010 and its sales have increased by 1.7 million dollars each year.i) Let A(t) and B(t) represent the sales (in millions of dollars) by company A and company B, respectively, at 
since 2010. Find equations for A and B.ii) Predict when sales at the companies will be equal. What will that sales be?
What will be an ideal response?
When flowers known as "four-o'clock" are crossed, there is an incomplete dominance. A four-o'clock is red if the genotype is rr and white if it is ww. If rr is crossed with ww, a hybrid rw results. Suppose a population of 50% red four-o'clocks is mixed with a population of 50% white four-o'clocks. What percent of the population has each phenotype? ?
A. red 24%, pink 51%, white 25% B. red 25%, pink 49%, white 26% C. red 25%, pink 50%, white 25% D. red 22%, pink 49%, white 29% E. red 28%, pink 50%, white 22%
Write the number in standard notation.7159065193
A. 715,906,5193 B. 71,59,065,193 C. 7,159,065,193 D. 7159,065,193