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Questions in Grade High-school

[Free] Solve the equation: \[\sin(x - 20^\circ) = \frac{1}{\sqrt{2}}\]

[Free] What is public opinion, and what factors shape it?

[Free] If [tex]f(x) = 4x + 5[/tex], find [tex]f(5)[/tex].

[Free] What is the reciprocal of [tex]\frac{2}{9}[/tex]?

[Free] If pencils sell at 6 for 59 cents, how many pencils can be bought for $2.95?

[Free] If \( x + 3 \) is a multiple of 3, which of the following is not a multiple of 3? A. \( x \) B. \( x + 6 \) C. \( 6x + 18 \) D. \( 2x + 6 \) E. \( 3x + 5 \)

[Free] How do you solve this problem using substitution and then check it? Given the equations: \[ y = -3x - 2 \] \[ 2x + 5y = 16 \] Solve using substitution and check your solution.

[Free] Why are the flat surfaces on a rectangular prism called faces?

[Free] What is \( x \), the second term in the geometric series \( \frac{1}{4} + x + \frac{1}{36} + \frac{1}{108} + \ldots \)?

[Free] On a line segment, B is between A and C, and C is between B and D. Using the segment addition postulate, if \( AB = 7 \), \( AC = 15 \), and \( AD = 32 \), what do \( BC \), \( BD \), and \( CD \) equal?