0
Add your answer:
Earn +20 pts
What is the 32nd term of the arithmetic sequence where a1 equals 15 and a13 equals -57?
Suppose the sequence is defined by an = a0 + n*d Then a1 = a0 + d = 15 and a13 = a0 + 13d = -57 Subtracting the first from the second: 12d = -72 so that d = -6 and then a0 - 6 = 15 gives a0 = 21 So a32 = 21 - 32*6 = -171
Why does a0 equal 1?
yes
How many square inches in a3 size?
A3 is approx 193.75 in2 The A series of paper is designed so that A(n+1) is half the area of An and A0 is 1m2. ⇒ A3 is half A2 is half A1 is half A0 ⇒ A3 is 1/8m2 = 0.125m2 1m = 100cm 1m2 = 1m x 1m = 100cm x 100cm = 10000cm2 1in =2.54cm (exactly) 1in2 = 1in x 1in = 2.54cm x 2.54cm = 6.4516cm2 ⇒ A3 = 0.125m2 = 1250cm2 = 1250 ÷ 6.4516 in2 ~= 193.75 in2
Equations that have the same solution?
It is not clear what the question requires. Yes, there are plenty of equations that have the same solution. For example, each and every equation of direct proportionality has the solution (0, 0). So what? every polynomial of the form y = anxn + an-1xn-1 + ... + a1x + a0 has the solution (0, a0). Again, so what?
Why can you never divide by zero?
Dividing by zero would mean multiplying by the reciprocal of 0, but 0 has no reciprocal because 0 times any number is 0, not 1. Multiplicative property of 0 Prove: If a is any real number, then a0 = 0 and 0a = 0 Proof: Statement _____________ Reason 1. 0 = 0 + 0 ____________ 1. Identity property of addition 2. a0 = a(0 + 0) _________ 2. Multiplication property of equality 3. a0 = a0 + a0 _________ 3. Distributive property of mult. with respect to add. 4. But a0 = a0 + 0 _______ 4. Identity property of addition 5. a0 + a0 = a0 + 0 ______ 5. Substitution principle 6. a0 = 0 ______________ 6. Subtraction property of equality 7. 0a = 0 ______________ 7. Commutative property of multiplication Therefore, division by zero has no meaning in the set of real numbers. (Source: Algebra: Structure and Method Book 1) In my opinion, the answer to this question depends upon which definition of division you are using ie. the Algebraic definition of division as the multiplication by a reciprocal or the Arithmetic definition of division as a/b = c because a = bc. Any discussion about division by zero must however centre around the above proof which is based on the properties of the real numbers. The two cases are: 1. Dividing a nonzero number by zero, which does violate the multiplicative property of zero and therefore the properties of the real numbers upon which it is proven, as shown above. 2. Dividing zero by zero, which does not violate the multiplicative property of zero, but multiplication by zero is an operation that can not be "undone." a/b = c is defined by a = b*c. If a/0 = c, then a = 0*c. But 0*c = 0. Hence, if a is not equal to 0, no value of c can make the statment a = 0*c true, while if a = 0, every value of c will make the statement true. Thus, a/0 either has no value or is indefinite in value. Division is not always possible in the system of numbers consisting of the integers (6 is divisible by 2 and 3 but not by 5), but in those cases where it is, the result is always uniquely determined. In the system of all rational numbers (that is, the integers and fractions) division is not only unique but is always realizable with one exception-division by zero. On the basis of the definition of division given above, it is apparent that it is not possible to divide a number different from zero by zero. The result of dividing zero by zero, according to the definition, can be any number since c*0 = 0 in all cases. It is usually preferable in algebra (in order not to violate the uniqueness of division) to consider division by zero to be impossible for ALL cases. In mathematics the art of asking questions is more valuable than solving problems.
What does it mean when a piece of paper is A0 size?
A0 size paper is the largest standard size in the ISO 216 international paper size standard. It measures 841 mm × 1189 mm (33.1 in × 46.8 in) and has an area of about 1 square meter. It is commonly used for large posters, technical drawings, and architectural plans.
What is the size of an A-Sheet?
A0 is 1 meter square.
Is A0 size drawing bigger than A1?
Yes its twice the size... 1189mm x 841mm
Whar are the Disadvantages of graphic tablet?
they come in all sizes from A4 size to a large A0 size which will occupy the majority of the desk.
A0⋅a6?
A0
How many A10 sheets go into an A0 sheet?
If you divide A0 size in half (cut or fold it) you get A1. If you divide A1 in half you get A2, etc, etc. Therefore 210 A10 sheets fit into A0, = 1024 sheets. A10 is very small (26 × 37 mm) and of little use.
What size is A4 paper?
210 × 297 mm. A4 is the standard size for most countries, excluding the US, Canada and a few others.A4 is one of a series of paper sizes, starting with A0. A0 has an area of 1 m². If you fold A0 into two you get A1, and so on.All sizes in the A-series have the same ratio of length/width, which is the square root of 2.
How many inches is A0?
A0 paper is 46.8 x 33.1 in.
How do you prove a0 equals 1?
a0=(a-1\a-1)=a\a=1
What does the 4 in A4 paper size stand for?
The International Standard for paper sizes defines A0 as a sheet of paper that has an area of 1 metre2 and whose length is sqrt(2) times its width. So A0 is approx 841mm*1.189mm.A1 is the size of an A0 sheet folded in half lengthwise: 595mm * 841mmA2 is the size of an A1 sheet folded in half lengthwise: 420mm * 595mmA3 is the size of an A2 sheet folded in half lengthwise: 297mm * 420mmA4 is the size of an A3 sheet folded in half lengthwise: 210mm * 297mmThe size of an A4 sheet is 0.0625 metre2 or 2-4metre2.If you took 2x sheets of size Ax you would have 1 sq metre of paper.
What is size A paper?
Paper is measured along a scale preceded by A. A0 is 841mm by 1189mm, fold and cut in half, you will have A1 and so on.
What is the name given to the paper half of A4 size?
A0 is twice the size of A1 A1 is twice the size of A2 A2 is twice the size of A3 A3 is twice the size of A4 A4 is twice the size of A5 A5 is twice the size of A6 And so on
