Questions in mathematics

Questions in mathematics

[Done] The average IQ of 4 people is 110. If three of these people each have an IQ of 105, what is the IQ of the fourth person?

[Done] You are scheduling a new delivery route and need to find out how long it will take a driver to complete the route. You start the route at 9:50 A.M. and finish at 2:05 P.M. How long does it take to drive the route?

[Done] For a wall of a given material and of a fixed surface area, the rate of heat loss by conduction through the wall is inversely proportional to the thickness \( T \) of the wall and directly proportional to the temperature difference \( d \) across the wall. The rate of heat loss could be given by which of the following expressions? A. \( \frac{2d}{T} \) B. \( \frac{2T}{d} \) C. \( 2d + \frac{1}{2}T \) D. \( 2(d + \frac{1}{2}T) \) E. \( \frac{T}{d} \)

[Done] Kim and Courtney share a 16-ounce box of cereal. By the end of the week, Kim has eaten [tex]\frac{3}{8}[/tex] of the box, and Courtney has eaten [tex]\frac{1}{4}[/tex] of the box of cereal. What fraction of the box is left?

[Done] How do you simplify [tex](9x^8 y^3)^{1/2}[/tex]?

[Done] Nine students volunteer for a committee. How many different 6-person committees can be chosen? A. 1 B. 362,880 C. 60,480 D. 84

[Done] The greatest common factor of \(3m^2n + 12mn^2\) is?

[Done] If \(\sin(\alpha+\beta) = 1\) and \(\sin(\alpha-\beta) = \frac{1}{2}\), then \(\tan(\alpha+2\beta) \cdot \tan(2\alpha+\beta)\) equals: A. 1 B. -1 C. 0 D. None of the above

[Done] Factor the expression: \[ 3x^2 + 20x + 12 \]

[Done] What is the first step in solving the equation \((x - 6)^2 = 9\)?