AFOQT formulas 2023

Area (triangle) A=1/2bh Area (rectangle) A=lw Area (Square) A=s² Area (circle) A=πr² Surface area rectangle A = 2wl + 2lh + 2hw Volume (rectangular prism) v=l×w×h volume (Cube) s³ Volume (sphere) V = 4/3πr³ Volume (cylinder) V = πr²h X^-2 1/(X * X) (X^3)(X^5) X^(3+5) (X^5)(X^-3) X^(5-3) -0.0525 (scientific notation) -5.25x10^-2 3,050 (scientific notation) 3.05x10^3 standard form of a linear equation Ax + By = C Slope-intercept form y=mx+b Point-slope form y - y₁ = m(x - x₁) Two-point form (y-y1) / (y2 - y1) = (x - x1) / (x2 - x1) Intercept form (x/x1)+(y/y1)=1 Laws of Thermodynamics (there are only 2 were concerned with out of the 4) 1. Energy cannot be created or destroyed 2. All systems move toward chaos Total energy of a system Potential energy + Kinetic energy Potential energy equation PE(potential energy) = m(mass) * g(acceleration) * h(height above the ground) Kinetic energy equation KE(kinetic energy)=½m(mass)v(velocity)² Farenheit to Celcius Conversion ⁰C=(5/9)(⁰F) - 32 Celsius to Fahrenheit conversion ⁰F=(9/5)(⁰C) + 32 Celsius to Kelvin K=⁰C+273.15 specific heat equation (Energy)q=(specific heat)c x (mass) kg x (change in temp.) ∆t Molarity equation M=mol/V(in liters) Velocity formula v=∆x(distance)/∆t(time) Acceleration formula a=∆v(velocity)/∆t(time) linear momentum formula p=m(mass)*v(velocity) Newton's laws of motion (1) Inertia: an object in motion will stay in motion, an object at rest will stay at rest Newton's laws of motion (2) F=ma: mass * acceleration = force on a given body Newton's laws of motion (3) Action-reaction: every action has an equal and opposite reaction Weight formula Weight = mass * acceleration total momentum elastic collision of objects formula m1v1 + m2v2 = m1v1 + m2v2 total momentum inelastic collision of objects formula m1v1 + m2v2 = (m1 + m2)Vf(final velocity) center of mass for a system formula X(center of mass) = (m1x1+m2x2)/(m1+m2) Mechanical advantage formula MA=Fout/Fin(Output force/Input force) Torque equation T=F*d (Torque=F * distance of lever arm from the axis of rotation) Coulomb's Law formula F=k((q1q2)/(r^2)) F=force exerted k= constant (8.99x10^9 NM^2/C^2) q= charge r=distance between 2 charges electric current formula I = q/t I= electric current t=rate of flow q=net charge Resistance formula R = V/I (Resistance(in ohms Ω) = voltage/current) Resistance in series Rtotal=R1+R2+R3..... Resistance in parallel R = (1/R₁) + (1/R₂) + (1/R₃)... Light speed 3.00x10^8 visible spectrum 10^-7m Linnaean System of Taxonomy King Philip Came Over For Good Soup