Solve the equation.


Mathematics

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Represent each circuit with a symbolic statement. Using a truth table, state whether the circuits are equivalent.

A. (p ? q) ? ~p; [p ? (~p ? q)] ? ~p; not equivalent B. (p ? q) ? ~p; [p ? (~p ? q)] ? ~p; not equivalent C. (p ? q) ? ~p; [p ? (~p ? q)] ? ~p; equivalent D. (p ? q) ? ~p; [p ? (~p ? q)] ? ~p; equivalent

Mathematics

Multiply using the FOIL method.(3x - 7)(x + 7)

A. x2 + 14x + 13 B. 3x2 + 13x - 49 C. 3x2 + 14x - 49 D. x2 - 49x + 14

Mathematics

Simplify. Write your answer in the form a + bi, where a and b are real numbers.(4 + ) + (1 + )

A. 5 + 16i B. 5 + 65i C. 5 + 11i D. 5 + 3i

Mathematics

Neptune moves in an elliptical orbit with the sun at one of the foci. The length of the half of the major axis is 4,502,899,800 kilometers, and the eccentricity is 0.0112. Find the maximum distance (aphelion) of Neptune from the sun. Round your answer to nearest kilometer. ?

A. 4,412,841,804 km B. 50,432,478 km C. 4,592,957,796 km D. 4,553,332,278 km E. 4,452,467,322 km

Mathematics