Questions in mathematics

Questions in mathematics

[Free] How do I easily solve the following? A model rocket travels at 88 feet per second (fps). How long will it take to reach a height of 40 feet? Use the equation: [tex] h = -16t^2 + vt [/tex] The answer is given as 0.5 seconds and 5 seconds. However, this seems incorrect because, at 0.5 seconds, the model rocket should be at 44 feet high.

[Free] The greatest common factor of 18 and a mystery number is 6. Give three possible values for the mystery number.

[Free] What are the characteristics of equivalent fractions?

[Free] A poster is 8 1/2 inches by 11 inches. You enlarge the poster by increasing each dimension by a factor of 2 1/2. What is the area of the new poster?

[Free] Use the substitution method to solve the following system of equations: 1. [tex]y = 2x - 5[/tex] 2. [tex]4x - y = 7[/tex] Attempted solution: Substitute [tex]y[/tex] from equation 1 into equation 2: [tex]4x - (2x - 5) = 7[/tex] Simplify the equation: [tex]2x + 5 = 7[/tex] [tex]2x = 2[/tex] [tex]x = 1[/tex] What was the mistake in the initial attempt?

[Free] Factor completely: \[ x^4 - 81 \]

[Free] Factor completely: \[ 1000 + 27y^3 \]

[Free] The slope of a ramp from the sidewalk to the street has to be [tex]\frac{1}{20}[/tex]. The height of the ramp is 2.5 inches. What is the horizontal length (in inches) of the ramp?

[Free] Factor completely: \[ x^4 + 8x^2 - 9 \]

[Free] How many different ways can 6 students be seated in a row?