Solve the problem.A ship leaves point A and travels directly north to point B. From point B, the ship then travels due east to point C. The magnitude of the vector from point A to point C is 140. Find the magnitude of the northern vector. Find the magnitude of the eastern vector.

A. 70 north; 70 east
B. 70 north; 70 east
C. 70 north; 70 east
D. 70 north; 70 east


Answer: B

Mathematics

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Find the interval of convergence of the series.

A. x ? 8 B. 6 ? x ? 8 C. -113 ? x ? 127 D. -? < x < ?

Mathematics

Write an equation relating the variables in the situation described.The temperature in Fahrenheit F if five times the temperature in Fahrenheit is equal to the sum of nine times the temperature in degree Celsius C and 160.

A. F = C + 32
B. F = C
C. F = C + 160
D. F = C + 32

Mathematics

Write the partial fraction decomposition of the rational expression.

A.  +  + 
B.  +  + 
C.  +  + 
D.  +  + 

Mathematics

Solve the problem.A box of instant brownies has the list of ingredients shown in the table. Use this information to find the amount of the stated ingredient you would need to make the indicated number of servings. Water3 tablespoonsOil cupNuts cupBrownie Mix2 cupsAmount of water for 15 servings

A. 1 cups
B. 2 tablespoons
C. 1 ounces
D. 3 tablespoons

Mathematics