Questions in mathematics

Questions in mathematics

[Jawaban] What is [tex]\frac{24}{100}[/tex] in simplest form?

[Jawaban] Recall that the graph of a function \( f \) is the graph of the set of ordered pairs \((x, f(x))\). The graph of \( y = \_\_\_ \) is obtained if 12 units are added to each y-coordinate of the graph of \( f \).

[Jawaban] Round these decimals to 2 decimal places. a) 4.148 b) 5.092 c) 0.458 d) 17.315

[Jawaban] A circle has a diameter of 17 cm. What is the radius of the circle?

[Jawaban] A hair stylist schedules \(\frac{1}{4}\) hour to trim a customer's hair and \(\frac{1}{6}\) hour to style the customer's hair. The hair stylist plans to work \(3 \frac{1}{3}\) hours each day for 5 days each week. How many appointments can the hair stylist schedule each week if each customer must be trimmed and styled?

[Jawaban] Solve the equation. Write the answer in terms of the natural logarithm. \[ e^{9x+8} = 14 \]

[Jawaban] A picture framer has a thin board that is [tex]10 \frac{1}{2}[/tex] feet long. The framer notices that [tex]2 \frac{3}{8}[/tex] feet of the board is scratched and cannot be used. The rest of the board will be used to make small picture frames. Each picture frame needs [tex]1 \frac{2}{3}[/tex] feet of the board. At most, how many complete picture frames can be made?

[Jawaban] Tell whether this equation represents a direct variation. If so, identify the constant of variation. 4y = x

[Jawaban] What is the value of x? \[ \frac{1}{5} = \frac{25}{x} \]

[Jawaban] A stretched spring has a length of 12 inches when a weight of 2 lbs is attached. The same spring has a length of 18 inches when a weight of 5 lbs is attached. What is the length of the spring when no weights are attached?