1.Do examples that support a conjecture prove the conjecture to be true?
Answers
Answer:
A conjecture is an “educated guess” that is based on examples in a pattern. ... However, no number of examples can actually prove a conjecture. It is always possible that the next example would show that the conjecture is false. A counterexample is an example that disproves a conjecture.
Related Questions
PLS HELP the cost, in dollars, of a single story home can be approximated using the formula c=klw, where l is the approximate length of the home and w is the approximate width of the home. find the units for the coefficient k
¿Cual es la utilidad de ubicar puntos en un plano cartesiano?
11/14 minus what is equal to 4/14
Since your little brother loves cereal you decide to give him his favorite cereal cinnamon toast crunch as a surprise present.There is only one square sheet of wrapping paper that measures 60 cm wide and 60 cm long. The measurements at the cereal box are 30 cm X 40 cm x 5cm Do you have enough wrapping paper to wrap the cereal box?
Answers
The decimalform is 3.312.
What is an expression?
An expression contains one or more terms with addition, subtraction, multiplication, and division.
Example:
22 + 3x + 4y = 7 is an expression.
23 + 4 is an expression.
2 - 6 + 8 is an expression.
We have,
=
=
This can be written as,
16 ) 53 (3.312
48
50
48
20
16
40
32
8
= 3.312
Thus,
The decimalform is 3.3125.
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Answers
Answer:
The answer is D, or 354 3/8 ft^2
Answers
The center of the circle is (2, - 1) and the radius is 6 units.
What are the types of equations of a circle?
The equation for a circle has the generic form x² + y² + 2gx + 2fy + c = 0.
The standard equation of a circle is x² + y² = r².
The polar form of the equation of the circle is (rcosθ)² + (rsinθ)² = p².
Given, The equation of a circle is x² + y² - 4x + 2y - 31 = 0.
We know, In x² + y² + 2gx + 2fy + c = 0, The center of the circle is,
(- g, - f) and radius is .
Therefore, 2gx = - 4x and 2fy = 2y.
2g = - 4 and 2f = 2.
g = - 2 and f = 1.
- g = 2 and - f = - 1.
So, The center is (2, - 1).
And the radius is, .
= .
= .
= 6 units.
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Answer:
centre = (2, - 1), radius = 6
Step-by-step explanation:
Rearrange the equation by placing the x and y terms together and adding 31 to both sides
Given
x² + y² - 4x + 2y - 31 = 0, then
x² - 4x + y² + 2y = 31
Use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(- 2)x + 4 + y² + 2(1)y + 1 = 31 + 4 + 1
(x - 2)² + (y + 1)² = 36
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
compare to (x - 2)² + (y + 1)² = 36, then
centre = (2, - 1) and r = = 6
Answers
Number which is not a composite number is given by the equation A = 2
What are Factors of a Number?
Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the set of number be in set C = { 2 , 9 , 15 , 21 }
And , composite number is a positive integer that can be formed by multiplying two smaller positive integers
So , the factors of 9 = 1 , 3 , 9
The factors of 15 = 1 , 3 , 5 , 15
The factors of 21 = 1 , 3 , 7 , 21
And , the factors of 2 are 1 and the number 2 itself
Therefore , the value of A = 2
Hence , the number 2 is a composite number
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y=5x+38
Answers
-3x+6=5x+38
or
5x+38=-3x+6 (it's the same thing as the first one)
Then you solve for x and you substitute that value so you can get y.
Hope this helped :)
-3x+6=5x+38
5x+3x=38-6
8x=32
x=4
then you will substitute in the equation of y
Answers
Answer:
Step-by-step explanation:
A fraction is a certain amount out of a whole or 1.
There is the numerator and the denominator. The numerator is always over the denominator. Example...
1 <---numerator
-- Think of this fraction as money. Now one-half of a dollar is 0.50.
2 <---- denominator
So 1/2 is half of a whole. That is basically what fractions is.
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Final answer:
Fractions are a way of representing parts of a whole. They have a numerator and a denominator, which represent the number of parts we have and the total number of equal parts in the whole, respectively. Fractions can be represented visually with shapes or models, and operations with fractions involve addition, subtraction, multiplication, and division.
Explanation:
Fractions are a way of representing parts of a whole. The top number of a fraction, called the numerator, represents the number of parts we have. The bottom number, called the denominator, represents the total number of equal parts in the whole. For example, in the fraction 1/4, 1 is the numerator and 4 is the denominator.
Fractions can also be represented visually using shapes or models. For example, a circle can be divided into four equal parts, and one part shaded represents the fraction 1/4.
Operations with fractions include addition, subtraction, multiplication, and division. To add or subtract fractions, we need to have a common denominator. Multiplying fractions is done by multiplying the numerators and the denominators. Dividing fractions is done by multiplying the first fraction by the reciprocal of the second fraction.
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