Questions in mathematics

Questions in mathematics

[Terjawab] Solve: \[ \sin(2\theta) = \frac{1}{2} \]

[Terjawab] What is the value of \( n \) in the equation: \[ \frac{N}{2} - \frac{2N}{16} = \frac{3}{8} \]

[Terjawab] A caterer prepares three times as many pizzas as she usually prepares for a large party. The caterer usually prepares 5 pizzas. The caterer also estimates that each party guest will eat [tex]\frac{1}{3}[/tex] of a pizza. 1. Write an expression that represents this situation. 2. How many party guests will the pizzas serve?

[Terjawab] Find the slope and equation of the tangent line to the graph of the function at the given value of [tex]x[/tex]. [tex]f(x) = x^4 - 20x^2 + 64; \quad x = -1[/tex]

[Terjawab] Graph the inequality: \( y \leq 3 \)

[Terjawab] Estimate the sum of the fractions: \[ \frac{7}{12} + \frac{5}{6} \]

[Terjawab] Brian paid $19.95 for 2.5 pounds of turkey. What was the price per pound?

[Terjawab] Select the correct inequality for the graph below: A. y > -2x + 2 B. y ≥ -2x + 2 C. y < -2x + 2 D. y ≤ -2x + 2

[Terjawab] If 1 gallon of paint covers 400 square feet, about how many gallons of paint are needed to paint the outside of a spherical tank with a diameter of 20 feet?

[Terjawab] Triangle DEF is an isosceles triangle with DE = FE. If DE = 5 and \(\angle D = 75^\circ\), a. What is the length of FE? ________ b. What is the measure of angle F? _ c. What is the measure of angle E? _______ (Note: Please clarify if any additional context or information is needed.)