Math and Arithmetic

Area

Volume

None. A foot is one-dimentional. Any cubic measurement needs three dimensions, length, width, and height.

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Math and Arithmetic

Calorie Count

Calories is a measure of energy, likewise a measure of energy has no equivalent measured mass since mass and energy are independent from each other.

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Math and Arithmetic

Units of Measure

Cooking Measurements

Ounces are a measure of mass/weight, Quarts are a measure of volume. The two can not be equated unless one knows the density of the substance being measured.

There are many equivalent measurements for a quart:

2 pints

4 cups

1/4 gallon

32 fluid ounces

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Math and Arithmetic

Units of Measure

Temperature

Celsius is the most common used way to tell the temperature. Only American uses the Farienhiet.

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Math and Arithmetic

Algebra

Geometry

A triangular prism.

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Math and Arithmetic

1. x+y=-3 (or, x = -y-3)

2. x*y=-54

Use equation 1 to substitute for x in equation 2:

(-y-3)*y = -54

y2+3y = 54

y2 + 3y - 54 = 0

Factor&solve:

(y+9)(y-6)=0

y = {-9,6}

(x,y)={(6,-9),(-9,6)}

6 & -9

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Fuel Economy and Mileage

Math and Arithmetic

Orlando

2000 miles @ 25mpg = 80 gallons @ 3.00 a gallon is 240.00

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Math and Arithmetic

The two fractions are not "the same", but they are indeed equivalent to each other - when expressed in decimal form, 365/90 is equal to 73/18.

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Math and Arithmetic

Physics

Kinematics

A straight line that coincides with the time axis, i.e., its value is zero at any time.

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Math and Arithmetic

Calendar

October 7 1990 was a Sunday.

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Associates Degrees

Graduate Degrees

Math and Arithmetic

Two years if you go full time

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Science

Math and Arithmetic

Physics

Waves Vibrations and Oscillations

Wave frequency can be calculated by dividing the speed of the wave (if we're talking about electromagnetic waves in vacuum, that would be the speed of light, c) by wavelength.

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Math and Arithmetic

Mile Run

as of now a human cannot. The fastest ever time by a human running a half marathon is 58:23 seconds, a half marathon is 13.1094 miles.

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Math and Arithmetic

Units of Measure

Weight and Mass

103kg is equivalent to about 227lbs.

The formula to convert kg to lbs:

103 kg*

2.2046 lbs

1 kg

=

227.0761301 lbs

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Math and Arithmetic

Algebra

union means to group the given sets. where as intersection means to pick out the common elements from the given sets.

if set a has 1,2,3 elements and B has 1,2,3,4,5. then its union will have 1,2,3,4,5 as its elements. and its intersection will have 1,2,3 as its elements.

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Math and Arithmetic

Algebra

FALSE

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Math and Arithmetic

Algebra

Mapping and Cartography

A map scale of 1 to 5000 would show about a mile of city in a foot of map space. That is good enough to show the typical 10 - 16 streets per mile found in many cities.

A scale of 1 to 500000 would show 100 miles in a foot wide map. You could show Baltimore and Washington on the same page. This would not allow showing any small or medium sized streets.

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Math and Arithmetic

Algebra

-2x+14=20

-2x=20-14

-2x=6

-2x/-2=6/-2

x=-3

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Math and Arithmetic

Algebra

To answer this question we need to first convert 1 km in miles and then 4 minutes into hours.

First 1 mile = 1.6 km

So 1 km / 1.6 = 0.625 miles (approximately)

Now 60 minutes = 1 hour

So 4/60 = 1/15 of an hour

Since speed = distance/time we have

Speed = 0.625/1/15 = 9.375 miles per hour.

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Math and Arithmetic

Algebra

Numbers

No. Pi is a set number, if it were negative (-3.14159...) it would not represent the ratio of radius to circumference.

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Math and Arithmetic

Football Rules and Regulations

Football Field Measurements

There are 100 yards between end zones on a football field. Each yard is equal to 3 feet so there are 300 feet between end zones. 1500 feet divided by 300 feet is 5, so 1500 feet is the length of 5 football fields.

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Math and Arithmetic

Units of Measure

Cooking Measurements

16

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Database Programming

Math and Arithmetic

In mathematics, the cardinality of a set is a measure of the "number of elements of the set". For example, the set A = {2, 4, 6} contains 3 elements, and therefore A has a cardinality of 3. There are two approaches to cardinality - one which compares sets directly using bijections and injections, and another which uses cardinal numbers.

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