Provide an appropriate response.Explain why log213 is between 3 and 4.

What will be an ideal response?


log28 = 3 and log216 = 4. Since 8 < 13 < 16, then 3 < log213 < 4. This is true because log2x is an increasing function.

Mathematics

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Use the method of successive differences to determine the next term in the sequence.14, 25, 66, 137, 238, . . .

A. 339 B. 399 C. 369 D. 398

Mathematics

Solve the problem.Under standard conditions, molecules of a gas collide billions of times per second. If each molecule has diameter t, the average distance between collisions is given by where n, the volume density of the gas, is a constant. Find .

A.  = 
B.  = 
C.  = - 
D.  = - 

Mathematics

Solve.xy - x2 = -20x - 2y = 3

A. x = -5, y = -1; x = 8, y = 
B. x = 5, y = 1; x = -  , y = -8
C. x = 5, y = 1; x = -8, y = - 
D. x = -5, y = -1; x = , y = 8

Mathematics

Evaluate the expression.(-2)0

A. 0 B. 1 C. -2 D. -1

Mathematics