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🔬 ScienceFree
Serial dilution volumes calculator
A 1:10 series in 1000 µL tubes takes 100 µL of sample and 900 µL of diluent per tube; the calculator lists every tube with its source, both pipette volumes and…
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🔬 ScienceFree
Logistic growth rate calculator
Get the instantaneous growth of a population that is filling its habitat: 50 individuals with an intrinsic rate of 0.1 and a carrying capacity of 100 add 2.5…
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🔬 ScienceFree
Logistic growth calculator
See where a bounded population will stand: 50 individuals growing at 0.4 per year toward a carrying capacity of 1000 reach about three quarters of that ceiling…
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🔬 ScienceFree
Species abundance proportions calculator
Counts of 40, 30, 20 and 10 trees give a total of 100 and shares of 0.4, 0.3, 0.2 and 0.1: the calculator turns raw tallies into the proportions that Shannon…
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🔬 ScienceFree
Fertilizer blend ratio calculator
A 1,000 kg load of 10-10-10 needs 100 kg each of nitrogen, phosphate and potash, and this calculator works out how much urea, DAP, potash and filler deliver it.
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🔬 ScienceFree
Finite population growth rate calculator
See how much a population multiplies between censuses: 100 animals counted one year and 120 the next give λ = 1.2, a 20% rise with r ≈ 0.1823.
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🔬 ScienceFree
Leaf area index calculator
Compare a lawn, a wheat field and a forest on one scale: 6 m² of leaf over 2 m² of ground is a leaf area index of 3, a closed canopy.
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🔬 ScienceFree
Grain adjusted weight calculator
Settle a grain ticket at the agreed moisture instead of the scale weight: 10000 kg of maize at 18% moisture holds 8200 kg of dry kernel, so at a 15% standard…
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🔬 ScienceFree
Manure nutrient application calculator
Turn a manure lab sheet into a fertilizer credit: 10 tons per acre of manure testing 10, 8 and 12 lb per ton supplies 100 lb of N, 80 lb of P2O5 and 120 lb of…
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🔬 ScienceFree
Dew point simple approximation calculator
Get the classic pocket estimate of dew point: 20 °C at 80 % relative humidity gives 16 °C, a 4-degree depression.
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🔬 ScienceFree
Vapor pressure deficit calculator
At 25 °C and 60% relative humidity the vapor pressure deficit is just above 1.2 kPa: the pull with which the air draws water out of leaves.
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🔬 ScienceFree
Altitude from pressure calculator
Turn a barometer reading into height: 900 hPa against a sea-level pressure of 1013.25 hPa puts you just under a kilometre up.
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🔬 ScienceFree
Summer simmer index calculator
At 90 °F and 60% relative humidity, the summer simmer index lands in the discomfort band. It folds heat and humidity into one thermometer-like number for warm…
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🔬 ScienceFree
Beaufort number to wind speed range
Turn a Beaufort force into the speed band forecasts mean: force 6 is a strong breeze of 22 to 27 knots, or 10.8 to 13.8 m/s.
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🔬 ScienceFree
Freezing rain ice accretion calculator
Size the ice a storm leaves on a power line: 2 mm/h of freezing rain for 6 hours in a 10 m/s wind builds 7.33693981 mm of radial ice on a 25 mm conductor.
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🔬 ScienceFree
UNEP aridity index calculator
Find how dry a place really is: 350 mm of rain against 1400 mm of potential evapotranspiration gives an aridity index of 0.25, a semi-arid climate.
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🔬 ScienceFree
Rubidium-strontium radiometric age calculator
An Rb-Sr isochron slope of 0.02 corresponds to about 1.395 billion years, a typical Precambrian granite age, using the Steiger and Jäger 1977 decay constant.
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🔬 ScienceFree
Natural gas carbon footprint calculator
Turn a gas bill into carbon dioxide: 100 therms of natural gas release 530.6 kg of CO2, using the EPA factor of 5.306 kg per therm.
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🔬 ScienceFree
Manning open-channel velocity calculator
Enter a roughness of 0.013, a hydraulic radius of 1 m and a slope of 0.001, and Manning's formula returns the mean flow velocity in metres per second; switch to…
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🔬 ScienceFree
Porosity from void ratio calculator
A void ratio of 0.8 gives a porosity of 0.444, about 44.4 percent voids, from n = e/(1+e). Enter either phase ratio and get the other back, with the…
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🔬 ScienceFree
Air quality index from nitrogen dioxide
Convert a one-hour nitrogen dioxide reading into the US EPA air quality index: 53 ppb sits at the top of the Good band and gives AQI 50.
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🔬 ScienceFree
Solar battery charge time calculator
A 100 Ah battery charged at 10 A through an 85% efficient path gets 8.5 A of effective current and refills in just under 12 hours.
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🔬 ScienceFree
Fog stability index calculator
Judge radiation fog risk in one number: 8 °C at the surface, a 7 °C dew point and 10 °C at 850 hPa give an index of -2, a high risk.
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🔬 ScienceFree
Frost risk index calculator
See whether tonight could freeze: an evening at 6 °C with a 1 °C dew point and 10 % cloud is expected to bottom out at 1.42 °C, a frost risk index of 32.25…
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🔬 ScienceFree
Solar water heater energy savings
With 200 liters a day, a 40 °C rise and a solar fraction of 0.7, the daily heating load is just over 9 kWh and the collector covers 70% of it all year.
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🔬 ScienceFree
Water heating energy calculator
Heating 50 liters of water by 40 °C takes 8342896 joules, just over 2 kWh or 1994 kilocalories. Water density and specific heat are built in, so you only enter…
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🔬 ScienceFree
Temperature at depth calculator
Get a first estimate of how hot the ground is below you: 15 °C at the surface with a gradient of 25 °C per km gives 65 °C at 2000 m.
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🔬 ScienceFree
Monthly thermal amplitude calculator
Twelve temperate months whose mean maxima run from 4 to 29 °C and minima from −3 to 17 °C give monthly amplitudes of 7 to 12 degrees and an annual average just…
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💰 Finance & moneyFree
Cross-price elasticity of demand calculator
If demand for one good rises 5% when another good's price rises 10%, the cross-price elasticity is 0.5 and the goods are substitutes.
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💰 Finance & moneyFree
Consumer surplus linear demand calculator
If the most buyers would pay is 100 and that falls by 2 per unit, a market price of 40 means 30 units are bought and consumer surplus is 900.
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💰 Finance & moneyFree
Unit-elastic price calculator
For demand that starts at a price of 100 and falls by 2 per unit, elasticity equals 1 at a price of 50 and a quantity of 25, where revenue peaks at 1250.
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💰 Finance & moneyFree
Marginal cost from cost function calculator
Get marginal cost straight from a quadratic cost function: with a fixed cost of 100, coefficients of 20 and 2, and an output of 10, marginal cost is 60, total…
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💰 Finance & moneyFree
Producer tax burden calculator
With a pre-tax price of 10, a tax of 2 and elasticities of 1 on both sides, sellers bear half: they now receive 9 while buyers pay 11.
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💰 Finance & moneyFree
Shutdown-point price calculator
For a firm whose variable cost is 30q − 8q² + q³, average variable cost bottoms out at 14 at an output of 4: below a price of 14, producing nothing loses less.
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💰 Finance & moneyFree
Total product from production function
With 4 units of labor, the function 10L + 5L² − 0.5L³ gives a total product of 88, a marginal product of 26 and an average product of 22: stage I, since 26 is…
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💰 Finance & moneyFree
Bertrand duopoly equilibrium calculator
Two firms with a marginal cost of 20, facing demand that starts at a price of 100, both end up charging 20 and sell 40 units each with zero profit.
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💰 Finance & moneyFree
N-firm concentration ratio calculator
A market of 6 firms whose four leaders hold 90% of sales has a CR4 of 90%, rated highly concentrated.
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💰 Finance & moneyFree
Inflation rate from CPI calculator
Turn two published CPI readings into an inflation rate: an index that rises from 100 to 103 means 3% inflation, and each unit of currency buys 2.9126% less.
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💰 Finance & moneyFree
Money supply from MV=PQ
Find the money stock consistent with the equation of exchange: with a velocity of 5, a price level of 2 and real output of 2500, nominal output is 5000 and the…
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💰 Finance & moneyFree
Compound annual GDP growth rate calculator
GDP rising from 100 to 121 over 2 years grew 10% a year compounded, not 10.5%. Enter the starting and ending GDP and the years between them to get the compound…
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💰 Finance & moneyFree
Purchasing power parity exchange rate calculator
If a basket costs 50 at home and 5 abroad, purchasing power parity implies 10 units of domestic currency per foreign unit.
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💰 Finance & moneyFree
Autarky vs trade consumption calculator
Compare a country's consumption alone and with trade: in one example, 25 X and 12.5 Y become 25 X and 75 Y, a welfare gain of 144.948974278318%.
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💰 Finance & moneyFree
Tariff-quota equivalence calculator
With a world price of 8, a tariff of 2 lifts the domestic price to 10 and cuts imports to 2, so a quota of 2 has the same effect, an ad valorem equivalent of…
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💰 Finance & moneyFree
Real minimum wage calculator
A minimum wage of 10 in a year when the price index is 120, against a base of 100, keeps only five sixths of its face value in base-year prices: inflation has…
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💰 Finance & moneyFree
Saddle point game theory calculator
In the matrix with rows (3, 1, 2), (4, 3, 5) and (2, 0, 4), the middle cell 3 is both its row's minimum and its column's maximum, so the game has a saddle point…
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💰 Finance & moneyFree
Gini before vs after tax
Measure how much taxes and transfers even out incomes: in the example, the Gini falls from 0.4 before tax to 0.175 after, a reduction of 0.225 that removes…
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💰 Finance & moneyFree
Profit at given output calculator
At 20 units sold for 40 each, revenue is 800 and cost is 500, so profit is 300. Enter your revenue and cost formulas and an output level to see profit, loss or…
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🎓 EducationFree
Bell curve grade calculator
A score of 88 in a class with a mean of 75 and a standard deviation of 8 sits 1.625 deviations above average, which is an A on this curve.
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🎓 EducationFree
Final exam grade needed calculator
Find the score you need on the final to finish with the course grade you want: with an 85 now, a 90 target and a final worth 20%, you would need 110, so the…
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🎓 EducationFree
Exam T-score calculator
Turn a standardized exam z-score into the T-score printed on score reports: a z of 1.5 becomes a T of 65, and a T of 50 is always the cohort average.
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🎓 EducationFree
Overall grade from categories
Homework at 92, quizzes at 88, a midterm at 79 and a final at 85, weighted 20, 15, 25 and 40, give an overall of 85.35%, a B.
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🎓 EducationFree
Unweighted GPA calculator
A, B+, B and A- average to a 3.5 unweighted GPA: the letters become 4.0, 3.3, 3.0 and 3.7 on the plain four-point scale and every course counts once, with no…
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🎓 EducationFree
Memory retention after days
After 7 days at a forgetting rate of 0.1 per day, about 49.66% of a fully learned lesson is still remembered.
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🎓 EducationFree
Normalized test score calculator
40 out of 50 and 64 out of 80 both come out as 80 on a 0 to 100 scale. Enter a raw mark with its test's minimum and maximum, and exams with different totals can…
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🎓 EducationFree
Class percentile rank of a score
A score of 85 in a class of 10 where 5 scored lower, 2 tied and 3 scored higher ranks at the 50th percentile.
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🎓 EducationFree
Weekly study hours per course
With 20 study hours a week, a four-credit Calculus II at difficulty 1.5 gets 10 hours and two three-credit courses get 5 each: hours follow credits times…
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🎓 EducationFree
APA format pages estimator
A 2500-word literature review fills 10 double-spaced APA pages at the usual 250 words per page. Enter the body word count, add the title page and abstract if…
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🎓 EducationFree
Dissertation chapter word split
Turn one thesis word limit into four chapter targets: 80,000 words at 15, 20, 35 and 30 percent become 12,000, 16,000, 28,000 and 24,000 words for introduction…
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🎓 EducationFree
Pause-adjusted speech duration
A 300-word talk at 150 words per minute is 120 seconds of speech, but 15 sentences with half-second pauses add 7.5 seconds, for 2 minutes 7.5 seconds on the…
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🎓 EducationFree
Words needed for a speech
A five-minute speech at 130 words per minute needs 650 words. Set the length, your speaking pace and an optional share for pauses and applause, and you get the…
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