Questions asked by Andy Y.

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Is $y = (2 m) \cdot cos (k \cdot x)$ $y=(2m)*cos(k*x)$ dimensionally correct, where $k = 2 m^{- 1}$ $k = 2m^-1$ ?
Is $2 π \cdot \sqrt{\frac{l}{g}}$ $2pi*sqrt(l/g)$ reducable to a dimension of time?
What are the dimensional units of $A$ $A$ and $B$ $B$ if a volume, $V$ $V$ , is given by the equation $V = A \cdot t^{3} + \frac{B}{t}$ $V=A*t^3+B/t$ ?
If $V = 1.5 \cdot t + 0.0080 \cdot t^{2}$ $V=1.5*t+0.0080*t^2$ has the units millions of cubic feet per month, how would you rewrite the equation if you wanted the result in cubic feet per second?
Given Newton's gravity formula, $F = G \cdot \frac{M \cdot m}{r^{2}}$ $F=G*(M*m)/(r^2)$ , what are the SI units of the universal gravity constant, $G$ $G$ ?
How do you convert 8.50 ${in}^{3}$ $"in"^3$ to $m^{3}$ $"m"^3$ ?
What is the area in square meters of a 100 ft $\times$ $xx$ 150 ft rectangular yard?
What is the volume of a $40 m \times 20 m \times 12 m$ $40 " m"xx20 " m"xx12 " m"$ room in cubic feet?
What is the weight in pounds of the air in rectangular room of volume $3.39 \times 10^{5} {ft}^{3}$ $3.39xx10^5 " ft"^3$ , given the density of air is $ρ_{air} = 1.29 \frac{kg}{m^{3}}$ $rho_"air"=1.29 " kg"/"m"^3$ ?
What is the velocity $5.0 \frac{furlongs}{fortnight}$ $5.0 " furlongs"/"fortnight"$ in $\frac{meters}{second}$ $"meters"/"second"$ ?
If one square mile is 640 acres, how many square meters are there in 1 acre?
How many seconds are there in a year?
How long will it take to cover the moon with spherical miniature meteors, one meter tall, each with a diameter of $1.00 \times 10^{- 6}$ $1.00xx10^-6$ meters, hitting the moon at a rate of 1 meteor per second?
If a gallon of paint covers a $25.0 m^{2}$ $25.0 " m"^2$ wall, what is the thickness of the paint?
What is the volume in cubic meters of a pyramid 481 feet tall with a base of 13.0 acres?
If 70% of Earth's surface is water, on average 1 mile deep, what is the mass of the Earth's water in kilograms?
What is the average velocity of a particle, whose position can be determined by $x = 10 t^{2}$ $x=10t^2$ , from $t_{initial} = 2.0 s$ $t_"initial" = 2.0 " s"$ to $t_{final} = 3.0 s$ $t_"final"=3.0 " s"$ and again, from $t_{initial} = 2.0 s$ $t_"initial"=2.0 " s"$ to $t_{final} = 2.1 s$ $t_"final"=2.1 " s"$ ?
If a car travels 200 km at an average velocity of 40 km/hr, and a second car starting 1.0 hour later arrives at the 200 km destination at the same time, what is the average speed of the second car?
How do you use substitution or elimination to solve the system of equations? $2 x - 3 y - z = 0$ $2x-3y-z=0$ , $3 x + 2 y + 2 z = 2$ $3x+2y+2z=2$ , and $x + 5 y + 3 z = 2$ $x+5y+3z=2$
How do you find the vertical, horizontal, and oblique asymptotes of $H (x) = \frac{x^{4} + 2 x^{2} + 1}{x^{2} - x + 1}$ $H(x)=(x^4+2x^2+1)/(x^2-x+1)$ ?
Does $\int_{1}^{\infty} \frac{1}{\sqrt[3]{x + 1}} d x$ $int_1^oo1/root(3)(x+1)dx$ converge or diverge? If it converges, what is the integral?
How do you calculate the mass of the sun, $M_{sun}$ $M_"sun"$ , using Kepler's third law ( $T^{2} = \frac{4 π^{2} r^{3}}{G M_{sun}}$ $T^2=(4 pi^2 r^3)/(G M_"sun")$ )?
How do you find the position and magnification of a convex mirror?
What are the nuclear reactions required to produce $^{239} P u$ $""_""^239 Pu$ from $^{238} U$ $""_""^238 U$ under fast neutron bombardment?
If a car with velocity $100 \frac{km}{hr}$ $100 "km"/"hr"$ slams on the brakes with constant deceleration of $10 \frac{m}{s^{2}}$ $10 "m"/("s"^2)$ , how far does the car travel before coming to a complete stop?
If a ball is thrown downward from the top of a building with initial velocity of $10 \frac{m}{s}$ $10 "m"/"s"$ and strikes the ground with a speed of $60 \frac{m}{s}$ $60 "m"/"s"$ , how tall is the building?
If a ball is dropped on planet Krypton from a height of $20 ft$ $20 " ft"$ hits the ground in $2 sec$ $2" sec"$ , at what velocity and how long will it take to hit the ground from the top of a $200 ft$ $200 " ft"$ -tall building?