Sum of Squares from 1 to n Calculator
Compute the closed-form sum of the first n positive squares: 1² + 2² + ⋯ + n² = n(n+1)(2n+1)/6. The classical Faulhaber...
Compute the closed-form sum of the first n positive squares: 1² + 2² + ⋯ + n² = n(n+1)(2n+1)/6. The classical Faulhaber...
Estimate the monthly electricity cost of an appliance from its wattage, daily use, and your tariff.
Find the missing pressure, volume, or temperature using the combined gas law for a fixed amount of gas.
Converts an intensity ratio or pressure ratio to decibels: dB_power = 10·log₁₀(I₁/I₀); dB_amplitude = 20·log₁₀(A₁/A₀). I...
Convert a complex number from rectangular form a + b·i to polar form r∠θ, with r = √(a² + b²) and θ = atan2(b, a). Repor...
Compute the capacitance of a parallel-plate capacitor from plate area, plate separation, and the dielectric constant.
Solve every common percentage question — "what is X% of Y", "X is what percent of Y", and percentage change.
Compute pOH from hydroxide ion concentration and the matching pH at 25 °C.
Test whether two independent sample proportions differ significantly. Pooled estimate p̄ = (x₁ + x₂)/(n₁ + n₂); z = (p̂₁...
Compute how much each person owes when splitting a group gift, with optional shipping and an organizer's share.
Find the day of the week for any past or future date, plus the day-of-year, ISO week number, and how far the date is fro...
Calculates inventory turnover ratio and days on hand from cost of goods sold and average inventory to assess operational...
Every "X% of Y" problem, every "what percent of", every percent-change question — written out the way you'd actually say them.
Standard deviation is "average distance from the average". That one sentence covers 90% of everything you ever need to remember about it.