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Algebra
The use of letters to substitute unknown numbers to form an equation. Solve the equation to get the unknown number using different methods such as simultaneous equations and more.
227,579 Questions
Why is zero factorial equal to one?
n!/n = n!/n | reflexive property
(n)(n-1)(n-2).../n = n!/n | definition of factorial
(n-1)(n-2)... = n!/n | cancelling the common factor of n
(n-1)! = n!/n | definition of factorial
Notice that, in order for n! to be described as (n)(n-1)(n-2)... and proceed to be rewritten as (n-1)! after the n's cancel, the natural number n had to be greater than some natural number for (n-1) to be a factor in the factorial. This means that n must be at least 2, because if n were 1, (n-1) would not have been a factor of the factorial, and the proof would fail unless we assume that n is at least 2. So now you know that this rule cannot prove that 0! is 1 because 1 cannot be substituted into the rule because, as it stands, the rule is only valid for values of 2 or greater. The rule is valid for values of 1 or greater if it is assumed that 0! is 1, but that is what you are trying to prove.
What two numbers add to give you 18 and multiply to give you 40?
The two numbers that add to give you 18 and multiply to give you 40 are 10 and 8. This is because 10 + 8 = 18 and 10 x 8 = 80. However, if the question is referring to two numbers that add to 18 and multiply to 40, the correct pair would be 5 and 8, as 5 + 8 = 13 and 5 x 8 = 40.
Well, honey, 0.99 is just a fancy way of saying 99 cents. So, if you're feeling spendy, you can grab yourself a little treat for less than a buck. Just don't go expecting a gourmet meal with that kind of cash!
How can wood be squared without a jointer?
One way to square wood without a jointer is by using a table saw or a hand plane. You can make multiple passes on each side of the wood to gradually square it. It may take more time and effort compared to using a jointer, but it is still possible to achieve a squared edge or surface.
distance = rate * time
Trevon:
rate = 1/10 attic/hour
Cody:
rate = 1/7 attic/hour
1 attic = (1/10)x+(1/7)x = (1/10+1/7)x
1 = 17x/70
17x = 70
x = 70/17 ~= 4.1 hours
What is the difference when five squared is subtracted from four cubed?
Well, let's paint a happy little picture here. When you have 4 cubed, you're multiplying 4 by itself three times, which equals 64. When you subtract 5 squared, which is 25, from 64, you get 39. Just like that, we've created a beautiful mathematical landscape!
How would you write 0.32 in expanded form?
0.32 = (0 x 1) + (3/10) + (2/100) or thirty-two hundredths.
How many cubic meters fit in 3 ton truck with covered rear tray?
Well, isn't that a lovely question! Imagine the truck as a big, blank canvas waiting to be filled with joy. Typically, a 3-ton truck with a covered rear tray can hold around 15-20 cubic meters of goods or materials. Just picture all the happy little boxes and items fitting snugly in there, ready to go on their journey!
What is the natural log of 100?
Well, isn't that a happy little question! The natural log of 100 is approximately 4.605. Just like painting a beautiful landscape, math can also create its own kind of beauty. Keep exploring the wonders of numbers and you'll uncover even more delightful surprises along the way.
Which one is the odd one out Minsk Budapest Amsterdam Caracas?
The odd one out is Caracas. Minsk, Budapest, and Amsterdam are all capital cities of European countries, while Caracas is the capital city of Venezuela, which is in South America. This distinction sets Caracas apart from the other three cities.
What is 15.031 as a fraction in simplest form?
To express 15.031 as a fraction in simplest form, we first need to consider the decimal places. Since there are three decimal places in 15.031, we can rewrite it as 15.031 = 15 + 31/1000. Next, we convert the decimal portion to a fraction by placing 31 over 1000. Finally, we combine the whole number and fraction to get 15 31/1000, which is the simplest form of 15.031 as a fraction.
Of 100 equal parts 63 are shaded what fraction is unshaded?
If 63 out of 100 parts are shaded, then the fraction shaded is 63/100. To find the fraction unshaded, subtract the shaded fraction from 1 (since the total parts add up to 1): 1 - 63/100 = 37/100. Therefore, 37 out of the 100 parts are unshaded.
How can I achieve a perfect square cut in wood?
To achieve a perfect square cut in wood, use a combination square to mark the cut line, ensure the saw blade is perpendicular to the wood, and make slow, steady cuts following the marked line. Sand the edges for a smooth finish.
2 = 5*0 + 2 so [the quotient is 0 and] the remainder is 2
that is 2 mod 5 = 2.
On spreadsheets, the formula is usually "=MOD(2,5)"
2 = 5*0 + 2 so [the quotient is 0 and] the remainder is 2
that is 2 mod 5 = 2.
On spreadsheets, the formula is usually "=MOD(2,5)"
2 = 5*0 + 2 so [the quotient is 0 and] the remainder is 2
that is 2 mod 5 = 2.
On spreadsheets, the formula is usually "=MOD(2,5)"
2 = 5*0 + 2 so [the quotient is 0 and] the remainder is 2
that is 2 mod 5 = 2.
On spreadsheets, the formula is usually "=MOD(2,5)"
Well, honey, before you go calculating the area of that rectangle, you gotta make sure your units are playing nice together. Convert that pesky width of 38mm to centimeters first, then you can multiply the length by the width to get the area. Just remember, always check your units before you wreck your math!
What size room will 900 sq ft equal?
900 sq ft is 900 sq ft. The only limit imposed on the dimensions of the room are that the length must be 30 ft [sqrt(900)] ft. The room cound be 30ft x 30ft, or 3ft x 300ft or 0.3ft x 3000 ft etc.
What is the exponent form for 21?
The exponent form for 21 is 21^1. In exponent form, the base number (21) is raised to the power of 1. This means that 21^1 equals 21. Exponentiation is a mathematical operation that represents repeated multiplication of the base number by itself the number of times indicated by the exponent.
What is the scientific notation for calcium?
Scientific notation is a way of writing numbers that are too big or too small to be conveniently written in decimal form.The symbol for calcium is Ca. The atomic number is 20. The atomic weight is 40.078
While there are some very small numbers associated with calcium, they are given in small units so the numbers are manageable.
What is the sum of the first 4 square numbers?
The first 4 square numbers are 1^2, 2^2, 3^2, and 4^2, which are 1, 4, 9, and 16, respectively. To find the sum of these numbers, you simply add them together: 1 + 4 + 9 + 16 = 30. Therefore, the sum of the first 4 square numbers is 30.
What algebra equation equals 300?
The algebraic equation that equals 300 is x = 300, where x represents the unknown quantity. This equation simplifies to x = 300, indicating that the value of x is 300. In this case, x is a variable representing the unknown value that equals 300 when solved.
How do you convert base ten numeral 9 to base five numeral?
To convert the base ten numeral 9 to base five, you would divide 9 by 5. The quotient is 1 with a remainder of 4. The remainder becomes the rightmost digit, so the base five numeral for 9 is 14.
Yes, the time taken to go to the library can be considered a function of the distance to the library. In mathematical terms, a function is a relation between a set of inputs (distance) and a set of possible outputs (time taken). As the distance to the library increases, the time taken to travel there also typically increases, assuming a constant speed of travel. This relationship between distance and time aligns with the definition of a function, making it a valid example of a functional relationship.
The expression x squared plus x can be simplified as x^2 + x. This is a quadratic expression with a leading coefficient of 1. It represents a polynomial with two terms, a quadratic term (x^2) and a linear term (x).
