Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.log4 (7x + 11y)

A. log4 7x + log4 11y
B. (log4 7x) (log4 11y)
C. log4 77xy
D. log4 (7x + 11y)


Answer: D

Mathematics

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We can encode a message by assigning the numbers 1 - 26 to the letters a - z of the alphabet, respectively, and assigning 27 to a blank space. To further encode a message, we can use an encoding matrix A to convert these numbers into new pairs or triples of numbers. Use matrix A to encode the given message.Convert "I love you" from letters to numbers. Use pairs of those numbers, in order, to create 2 × 1 matrices, and multiply  times those matrices to encode the message "I love you" into pairs of coded numbers. Combine the pairs of numbers to give the encoded numerical message.

What will be an ideal response?

Mathematics

If possible, evaluate the expression by hand. If not, approximate the answer to the nearest hundredth.

A. 3.47 B. 3.87 C. -45 D. 2.47

Mathematics

Solve the inequality. Express your answer using interval notation. Graph the solution set.6x + 2 > 5x + 4

A. [2, ?)

B. (-?, 2]

C. (6, ?)

D. (2, ?)

Mathematics

Find an equation for the conic. If the conic is a parabola, assume that the vertex is at the origin. If the conic is an ellipse or hyperbola, assume that it is centered at the origin.Focus at (3, 0) and e = 

A.  -  = 1
B.  +  = 1
C.  -  = 1
D.  +  = 1

Mathematics