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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Solve the problem.A brick staircase has a total of 16 steps The bottom step requires 117 bricks. Each successive step requires 5 fewer bricks than the prior one. How many bricks are required to build the staircase?

A. 1272 bricks B. 1232 bricks C. 2544 bricks D. 2472 bricks

Mathematics

Solve. Write a mixed numeral for the answer.There were 23 yards of wire on a spool. After a customer bought 3 yards of wire from the spool, how many yards were left?

A. 19 yd
B. 18 yd
C. 19 yd
D. 20 yd

Mathematics

Factor the polynomial function.p(t) = 5t2 - 30t + 40

A. p(t) = (t - 4)(5t - 10) B. p(t) = 5(t - 8)(t + 1) C. p(t) = -5(t + 4)(t + 2) D. p(t) = 5(t - 4)(t - 2)

Mathematics

Use the table of integrals to find the integral. ?  ?  Use C as the constant of integration.

What will be an ideal response?

Mathematics