Questions in mathematics

Questions in mathematics

[Jawaban] Three terms of an arithmetic sequence are shown: \[ f(1) = 3, \quad f(3) = 6, \quad f(7) = 12 \] What recursive formula could define the sequence? A. \[ f(n+1) = 2f(n) \] B. \[ f(n+1) = f(n) + 3 \] C. \[ f(n+1) = f(n) + 1.5 \] D. \[ F(n+1) = 0.5f(n) \]

[Jawaban] A 7-foot ladder is leaned against a building so that the bottom of the ladder is 4 feet from the base of the wall. Find the angle formed between the ladder and the ground.

[Jawaban] A carpenter has a board that is 10 feet long. He wants to make 6 table legs that are all the same length. What is the longest each leg can be?

[Jawaban] What is the value of \( b \)? \[\frac{1}{3}(2b + 9) = \frac{2}{3}\left(b + \frac{9}{2}\right)\]

[Jawaban] Which of these ordered pairs is a solution to the inequality \( y - 2x \leq -3 \)? A. (2, 4) B. (–2, 3) C. (3, 4) D. (1, –1)

[Jawaban] Solve for y in the equation: 6.4 - y = 6 \frac{2}{5}

[Jawaban] What is the sum of any rational number and its opposite?

[Jawaban] What is \(\frac{46}{16}\) as a mixed number?

[Jawaban] I have 18 ones, 15 hundreds, 15 tens, and 8 thousands. What number am I?

[Jawaban] Write an addition expression to describe each situation. Then find each sum. Roger owes his mom $5. He borrows $6 from her. (Express it using integers.)