Questions in mathematics

Questions in mathematics

[Done] The height (in meters) of a projectile shot vertically upward from a point 2 meters above ground level with an initial velocity of 24.5 meters per second is given by the equation: \[ h = 2 + 24.5t - 4.9t^2 \] where \( h \) is the height after \( t \) seconds. 1. When does the projectile hit the ground? 2. With what velocity does it hit the ground?

[Done] A wheel has a diameter of [tex]x[/tex] inches, and a second wheel has a diameter of [tex]y[/tex] inches. The first wheel covers a distance of [tex]d[/tex] feet in 100 revolutions. How many revolutions does the second wheel make in covering [tex]d[/tex] feet?

[Done] A trundle wheel is used by surveyors to measure distances. It consists of a circular disc attached to a handle. One revolution of the wheel measures out exactly one metre. Find the diameter of the wheel.

[Done] The toll on the Islands Bridge is $1.00 for the car and driver, and $0.75 for each additional passenger. How many people were riding in a car for which the toll was $3.25? A. 2 B. 3 C. 4 D. 5 E. None of these

[Done] If [tex]x + y = 7[/tex] and [tex]xy = 4[/tex], then find the value of [tex]x^2 + y^2[/tex].

[Done] Solve for x: \[ \log 6x - \log 2 = 1 \]

[Done] At what point does the graph of \(5x + 4y = 12\) intersect the y-axis?

[Done] A jar holds 15 red pencils and 10 blue pencils. What is the probability of drawing one red pencil from the jar?

[Done] What si the answer to this? I'm bad at graphs sorry :). Btw it's number 22

[Done] If it costs $82.50 to rent a kayak for 3 hours, how much does it cost to rent a kayak for 1 hour?