Questions in mathematics

Questions in mathematics

[Jawaban] Forty-five children attend a preschool. The number of two-year-olds is one-half the number of three-year-olds. The number of four-year-olds is the same as the number of three-year-olds. a. How many two-year-olds attend the preschool? b. How many three-year-olds attend the preschool? c. How many four-year-olds attend the preschool?

[Jawaban] Bill is in a class of 15 boys and 35 girls. Forty percent of the students in the class take the bus to school. How many students do not take the bus to school?

[Jawaban] What is the difference between a prime number and a complex number?

[Jawaban] If [tex]f(x) = 7x[/tex] and [tex]g(x) = 6x - 3[/tex], find [tex](f \cdot g)(x)[/tex].

[Jawaban] An apple pie is taken out of the oven with an internal temperature of 325 degrees F. It's placed on a rack in a room with a temperature of 72 degrees F. After 10 minutes, the temperature of the pie is 200 degrees F. What will be the temperature of the pie 30 minutes after coming out of the oven?

[Jawaban] Solve for x: x + 7.72 = 19

[Jawaban] What is the nth term of the sequence 0, 3, 8, 15, 24, 35, 48?

[Jawaban] Arrange the numbers \(-2.07, -2.007, \frac{-27}{10}, -2.77\) in order from greatest to least.

[Jawaban] A young boy dropped his deck of baseball cards. Unwilling to count them again, he remembered that: - When he put them in piles of two, there was one card left over. - When he put them in stacks of three, there was one card left over. - The same thing happened for stacks of 4, 5, and 6. - However, when he put them in stacks of 7, there were no cards left over. How many cards did the boy have? Is there only one possibility? Can you generalize a solution?

[Jawaban] Given that \(\cos(x) = \frac{1}{3}\), find \(\sin(90^\circ - x)\).