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Are the square roots of all positive integers are irrational?
It might seems like it, but actually no. Proof: sqrt(0) = 0 (0 is an integer, not a irrational number) sqrt(1) = 1 (1 is an integer, not irrational) sqrt(2) = irrational sqrt(3) = irrational sqrt(4) = 2 (integer) As you can see, there are more than 1 square root of a positive integer that yields an integer, not a irrational. While most of the sqrts give irrational numbers as answers, perfect squares will always give you an integer result. Note: 0 is not a positive integer. 0 is neither positive nor negative.
What is the difference between non negative integer and positive integer?
The set of non-negative integers includes zero: [0,1,2,3,4,...]. These are also called whole numbers. The set of positive integers does not include zero: [1,2,3,4...]. These are also called counting/natural numbers.
What is the greatest possible remainder when a whole number is divided by 9?
If you divide an integer by 9, the remainder can be anything from 0 to 8.If you divide an integer by 9, the remainder can be anything from 0 to 8.If you divide an integer by 9, the remainder can be anything from 0 to 8.If you divide an integer by 9, the remainder can be anything from 0 to 8.
What does y equal if y2 equals 55 to the nearest integer?
y2 = 55 to the nearest integer => y2 = 55 (55 IS the nearest integer) So y = sqrt(55) = ± 7.416 (to 3 dp).
Does the equation 3x plus 6y equals 47 have a solution in which x and y are both positive integers?
3x + 6y = 47 6y = -3x + 47 y = -3x/6 + 47/6 y = (-3x + 47)/6 Since we are looking for positive integer, 3x (x > 0) cannot be greater than 47, the possibilities of the numerator are 42, 36, 24, 18, 12, and 6, so that - 3x must be -5, -11, -23, -29, -35, and -41. Since any of them are not multiples of -3, we can not find any pair of positive integers that satisfy the equation. So x and y cannot be both positive integers.
How do you find the function that puts an exponential on an integer on your scientific calculator?
The button will have yx on it.
What is the difference be a polynomial function and an exponential function?
In a polynomial function, the variable x is raised to some integer power. f(x) = 5x³ + 8x⁵ g(x) = (x + 5)² In an exponential function, some real number is raised to the power of variable x or some function of x f(x) = 5ˣ g(x) = eˣ⁺²
What is the difference between scientific notation and exponential form?
A number written in scientific form is written in the form #.##... x 10a (note exactly one number before the decimal place), where a is an integer, while a number in exponential form is written in the form bc where b is prime and c is an integer. See the following examples: * 1024 is written in scientific notation as 1.024 x 103, but in exponential form as 210. * 0.0016 is written in scientific notation as 1.6 x 10-3, but in exponential form as 5-4. * 3 is written in scientific notation as 3 x 100 and in exponential form as 31. Please, note, however, that some sources say exponential form is just another way of saying scientific notation.
When a base of an exponential expression is apositive real number and exponent is an integer?
Then, if the exponent is a positive integer, the value is 1 multiplied by the base repeatedly, exponent times. If the exponent is a negative integer then it is the reciprocal of the above value.In either case, it is NOT the base multiplied by itself an exponent number of times.
How do you find by program a given number is integer or float?
If it contains a decimal point or an exponential part, then it should be handled as a float (or double).You can determine an existing variable's type in C using the type() function
The difference between an exponential number and a power of 10?
Exponential numbers are in the form ax where a and x are real numbers. A power of 10 is any number in the form 10x. By definition this is an exponential number. If by "an exponential number" you mean THE exponential number, e, then the difference lies in the value of the base. e is a transcendental number (just like pi) with a value of approximately 2.71818182859045235... Just like pi, this decimal theoretically does not terminate and does not repeat i.e. goes on for an infinite number of places. e is known as the "natural base" because it appears in many natural structures from logarithms to compound interest to complex numbers.
In the exponential expression a raise to negative n is a positive integer the variable a cannot be equal to zero Explain why this is so?
a^(-n) = (1/a)^nIf a is 0, the above expression would require division by 0, which is not defined.
What is exponential notation form?
Exponential notation (more commonly known as scientific notation) is a way of writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation.In exponential notation, all numbers are written as a × 10b, where the exponent b is an integer, and the coefficient a is any real number.For example, three hundred in standard decimal notation is written as 300; however, it is written as 3 × 102 in exponential notation.i am sorry if you are reading this but i think this is wrong from all that i have learned exponential notation is nothing like scientific notation
Is scientific notation exponential notation?
Scientific notation is a way of writing numbers that are too big or too small to be conveniently written in decimal form. In normalized scientific notation all numbers are written in the form a x 10^b (a times ten raised to the power of b) where a is a nonzero single-digit integer and b is an integer.
What equations represents a graph that increases most rapidly?
A graph that increases most rapidly is typically represented by an exponential function, such as ( y = a \cdot e^{bx} ), where ( a > 0 ) and ( b > 0 ). In this equation, the base of the natural logarithm ( e ) ensures that the growth rate accelerates as ( x ) increases. Additionally, polynomial functions with higher degrees, like ( y = x^n ) (where ( n ) is a large positive integer), can also display rapid increases, but exponential functions generally outpace them for large values of ( x ).
What is exponential standard form?
Scientific notation is a way of representing numbers, usually very large or very small, in the form a*10^b where 1
Is exponential notation the same as scientific notation?
No. 35 is exponential notation, (3 is the base of the exponent 5), but in scientific notation the base must be 10 and the exponent must be an integer. 100.1 is exponential notation but not sci. notation.
