Solve the given differential equation.x dy + y dx - 4x y3 dy = 0

A. ln xy - y3 = 0
B. ln xy - y3 = c
C. ln xy - 4y3 = c
D. ln xy + y3 = c


Answer: B

Mathematics

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Solve the problem.The amount of money (in thousands of dollars) that Americans spend yearly at coffee retailers has increased greatly. Let D be the amount (in thousands of dollars) Americans have spent on coffee every year since 2014. A model for the situation is  How much money will Americans spend on coffee in the year 2027?

A. $235,000 B. $2350 C. $235 D. $23,500

Mathematics

Construct a truth table for the statement.(p ? ~q) ? r

A.

TTTFFF
T T F F F F
T F T T T T
T F F T T F
F T T F F F
F T F F F F
F F T T F F
F F F T F F
B.
TTTFTT
T T F F T F
T F T T F F
T F F T F F
F T T F T T
F T F F T F
F F T T T T
F F F T T F
C.
TTTFFF
T T F F F F
T F T T F F
T F F T F F
F T T F F F
F T F F F T
F F T T T T
F F F T T T
D.
TTTFFT
T T F F F T
T F T T T T
T F F T T F
F T T F F F
F T F F F T
F F T T F T
F F F T F T

Mathematics

Multiply.(-13) × -17

A. 234 B. -234 C. 238 D. 221

Mathematics

In the diagram below, the sum of the numbers in any 2 small circles is the number in the large circle between them. Complete the diagram so that the same pattern holds.

A.

B.

C.

Mathematics