The equation is therefore in Standard Form: 2 Degree :Quadratic number of terms :Binomial
What is equation?There are numerous ways to define an equation in mathematics .In algebra, a statement that mathematically establishes the equality of two mathematical expressions is known as an equation. Take into consideration the equation 3x + 5 = 14, in which 3x + 5 and 14 are two variables that are separated by the word "equal." Even the most elementary and simple algebraic equations use mathematical variables.
To construct a polynomial in standard form in this instance, you begin writing with the term having the highest degree, or exponent (in this example, the
2[tex]x^{2}[/tex] +x
word), and after that, in descending order. due to the two
[tex]x^{2}[/tex] is used to the greatest degree:
You look at the highest exponent, or degree, to categorize a polynomial. Considering that 2 is the highest exponent,
That is a quadratic equation. First few are as follows:
1- linear
2- quadratic
3- cubic
4- quartic
5- quintic
Count the terms in the polynomial to categorize it according to its term count: There are two terms in this polynomial,
2[tex]x^{2}[/tex]and x
. This is therefore a binomial.
Monomial is one term.
binary two terms
trinomial, 3 terms
4-plus terms; polynomial
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which equation can be simplified to find the inverse of y x2 7
x = y² - 7 is the simplified inverse equation of the equation y = x² - 7.
What is Inverse function?Inverse function is a function which reverse one function to another.
If a function f takes the variable x to y, then the inverse of a function must takes y to x.
To get the inverse of the function, we have to interchange the variables.
Given equation is y = x² - 7
Now interchange the variable x to y and y to x,
we get x = y² - 7
Hence, the required equation is x = y² - 7
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to the nearest cent, calculate the total cost of the recipe by finding the total cost of each of the ingredients and adding them all together. ingredients amount amount in converted units ep unit cost ($/unit) total ($) leeks 4 oz 3.00/lb yellow squash 10 oz 2.85/lb butter 1 oz 3.00/lb spinach 8 oz 2.25/lb eggs 6 ea 2.75/dozen
The total cost of the recipe is 521.875 cents
In this question, we need to calculate the total cost of the recipe by finding the total cost of each of the ingredients and adding them all together.
The ingredients amount in converted units
ep amount conversion unit cost ($/unit)
leeks 4 oz 0.25 lb 3.00/lb
yellow squash 10 oz 0.625 lb 2.85/lb
butter 1 oz 0.0625 lb 3.00/lb
spinach 8 oz 0.5 lb 2.25/lb
eggs 6 ea 0.5 dozen 2.75/dozen
First, we have to determine to total cost per ingredient.
1. 0.25 x 3.00 = $0.75 (leeks)
2. 0.625 x 2.85 = $1.78125 (yellow squash)
3. 0.0625 x 3.00 = $0.1875 (butter)
4. 0.5 x 2.25 = $1.125 (spinach)
5. 0.5 x 2.75 = $1.375 (eggs)
Now, we can add the cost per ingredient to know the total cost.
$0.75 + $1.78125 + $0.1875 + $1.125 + $1.375
= $5.21875
= 521.875 cents
Therefore, the total cost is 521.875 cents
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1/1-sinx+1/1+sinx en sade hali
Answer:Adım adım açıklama: cevap ekte kolay gelsin.
Step-by-step explanation:
Pendulums are traditionally used to keep time. The period (the time it takes to go back and forth) of a simple pendulum for a small amplitude is given by the function
T(L) = 2√32
√√
where T(L) is the period in seconds and L is the length of the pendulum in feet.
1
If the period of the pendulum is a 1/2
of a second, then what is the length of the pendulum?
Answer:A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
Harriett Weiss earned $77 in simple interest in 6 months at an annual interest rate of 7%. How much money did she invest? The answer is supposed to be $2200 but I don't know how to set up the equation and solve it. Please help.
The required invested money is given as $2200.
Harriett Weiss earned $77 in simple interest in 6 months at an annual interest rate of 7%.
What is simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
Here,
Applying the standard formula for the simple interest.
SI = principal × rate × time / 100
77 =[ p × 7 × 6/12 ]/ 100
p = 77 / 7 × 2 × 100
p = 11 × 200
p = 2200
Thus, the required investment amount is specified as $2200.
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Because of staffing decisions, managers of the a certain hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 25 days of operation shows a sample mean of 300 rooms occupied per day and a sample standard deviation of 20 rooms.
(a) What is the point estimate of the population variance? 900
(b) Provide a 90% confidence interval estimate of the population variance. (Round your answers to the nearest integer.) Incorrect: Your answer is incorrect. to Incorrect: Your answer is incorrect.
(c) Provide a 90% confidence interval estimate of the population standard deviation. (Round your answers to one decimal place.)
(a) The point estimate of the population variance is 400
(b) According to the 90% confidence interval, the population variance is 152 ≤ σ² ≤ 800
(c) According to the 90% confidence interval, the population standard deviation is 23.8 ≤ σ ≤ 41.1
Standard deviation
in probability, standard deviation refers the measure of how dispersed the data is in relation to the mean.
Given,
Here we know that because of staffing decisions, managers of the a certain hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 25 days of operation shows a sample mean of 300 rooms occupied per day and a sample standard deviation of 20 rooms.
Here we need to find the following.
a) Here the point estimate of the population variance is calculated as,
=> Square of S = S²
The value of S is 20
=> 20² = 400
b) As per the confidence interval, the population variance is calculated as,
n = 20
S² = 400
Then the variance is
=> (n-1)s²/0.05 ≤ σ² ≤ (n-1)s²/0.95
When we apply the values on the equation, then we get
=> (20-1) x 400/0.05 ≤ σ² ≤ (20 - 1) x 400/0.95
Variation 152 ≤ σ² ≤ 800
c) Finally, the Standard Deviation is calculated as,
=> 23.8 ≤ σ ≤ 41.1
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Jim Moore opens a new savings account. He deposits $12,000 at 12% compounded semiannually. At the start of the fourth year, Jim deposits an additional $50,000 that is also compounded semiannually at 12%. At the end of six years, the balance in Jim Moore's account is
Multiple Choice
$90,195.20
$93,932.28
$95,072.31
$88,555.42
After six years, Jim Moore's account will have a balance of $69,341 thanks to compound interest.
What is compound interest?Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.
As per the given information in the question,
The account in this issue is split up into two distinct investments. The first one is for $12,000 with a 12% compound interest rate over six years. Consequently, the criteria are as follows:
P = $12,000
r = 0.12
t = 6 years.
[tex]A_1(t)=P(1+\frac{r}{n} )^n^t[/tex]
[tex]A_1(6)=12000(1+\frac{0.12}{6} )^(^2^)^(^6^)[/tex]
A₁(6) = $15219.
The value of the second investment, which is $50,000 and is likewise compounded semi-annually at 12%, will be as follows at the conclusion of the fourth year:
[tex]A_2(t)=P(1+\frac{r}{n} )^n^t[/tex]
[tex]A_2(2)=50000(1+\frac{0.12}{6} )^(^2^)^(^2^)[/tex]
A₂(2) = 54122
Hence,
A(6) = A₁(6) + A₂(2)
A(6) = 15219 + 54122
A(6) = $69341
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a newly discovered planet is found to have twice the radius and five times the mass of earth. if the acceleration of gravity at the surface of earth is g, the acceleration of gravity at the surface of the new planet is
g(planet)/g(earth) = 12.25/9.8 = 1.25 m/s²
Gravitational Force
The gravitational force is a force that attracts any two objects with mass. We call the gravitational force. It is given by, F=Gm1m2r2, direction of force will be always towards the other mass along the line joining the two bodies. It is attractive force in nature.
Gravity
The force of attraction by which terrestrial bodies tend to fall toward the center of the earth. heaviness or weight. gravitation in general.
The acceleration due to gravity of a planet with mass M and radius R is g as:
free-fall acceleration = 12.25 m/s²
Formula for free fall acceleration is given by the gravity equation;
g = Gm/r²
Where;
M is mass of the Earth
r is radius of the Earth
G is the gravitational constant
That equation applies to the earth.
For this new planet, that the mass = 5 × mass of earth
And radius = 2 × radius of earth.
Thus, free fall acceleration for this planet is;
g_ p = G(5m)/(2r)²
g_ p = (5/4)(Gm/r²)
Gravitational constant has a value of 6.674 × 10^(−11) N.m²/kg²
Mass of the earth = 5.972 × 10^(24) kg
Radius of the earth = 6378 km = 6378000
Thus
g_ p = (5/4)(6.674 × 10^(−11) × 5.972 × 10^(24))/(6378000²) = 12.25 m/s²
The acceleration of gravity at the surface of the new planet is
g(planet)/g(earth) = 12.25/9.8 = 1.25 m/s²
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in the context of assessing wound healing as an indicator of immune functioning, which of the following impairs the inflammatory response that initiates wound repair?
Acute ethanol exposure can hinder the early inflammatory response, which can delay wound healing.
Hemostasis, inflammation, proliferation, and remodeling are the four perfectly timed steps that make up the normal biological process of wound healing in the human body. All four phases of wound healing must take place in the right order and amount of time for healing to be successful. Numerous factors may affect one or more stages of this procedure, impairing or causing incorrect wound healing.
Each stage of wound healing has certain milestones that must occur in order for normal healing to progress. In order to identify the differences inherent in chronic wounds that prevent healing, it is important to review the process of healing in normal wounds
In summary, acute ethanol exposure can lead to impaired wound healing by impairing the early inflammatory response, inhibiting wound closure, angiogenesis, and collagen production, and altering the protease balance at the wound site.
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A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 1 galon of punch?
So for a gallon of punch, you would need around two thirds of a cup of cranberry juice.
What are the many types of equations?Equations go into one of two categories: identities or conditional equations. An identity holds true for each value of the variables. A conditional equation is valid only for certain values of the variables. An equation is represented by the equals sign ("="), which separates two expressions.
Here,
In essence, this can be set up in a proportion.
Two cups of cranberry juice are required per gallon of punch. The quantity of cranberry juice required for one gallon is what you need to determine. So, in order to set up your percentage, do as follows:
Following cross-multiplication, you should have the following:
=> 3x = 2
then division should result in this:
=> x = 2/3
So for a gallon of punch, you would need around two thirds of a cup of cranberry juice.
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SY 22-23_EGB_Math Grade 5_Mid-year Final answer key
Answer:
The answer is 2.9
Step-by-step explanations are not quite accurate
What segment is congruent to CD?
Answer:
we need a picture of the problem
Step-by-step explanation:
Help me please. Your the best if you help.
Answer: x = 25, y=15, z = 58
Step-by-step explanation:
7/8=35/40 -1/5=5/25 what is the error
Answer:
Assuming that you're trying to multiply each one by five, the mistake is that in the second one, it would be [tex]\frac{-5}{25}[/tex] and not [tex]\frac{5}{25}[/tex]
Answer:
Below
Step-by-step explanation:
35/40 - 1/5 =
35/40 - 8/40 =
27/40
hooke's law describes an ideal spring. many real springs are better described by the restoring force (fsp)s
The mathematical expression for the work performed by the spring and the cubic term is W=3.3488J C=%3.4
The spring's and the cubic term's labor Question Parameters:
How much effort is required to compress this spring 15 cm
Take into account a spring with k = 250 N/m and q = 900 N/m3.
In general, the mathematical formula for the force is given as
(FSp)s=−kΔs−q(Δs)^3
Location of Work done
W = int dxF.
Hence
W=3.3488J
b)Where a cubic term is mathematically given as
C={0.1139}/{3.3488}
C=%3.4
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find the value of x,y,z. show your equations and then use the variables to label the angles with their measures between a triangle and two parallel lines
The formula for the slope of parallel lines is m1 = m2, and the slopes of parallel lines are equal. The slope of parallel lines is identical because all of the parallel lines are similarly inclined with regard to the positive x-axis.
What is Equation?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, etc.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.
Hence, The formula for the slope of parallel lines is m1 = m2, and the slopes of parallel lines are equal. The slope of parallel lines is identical because all of the parallel lines are similarly inclined with regard to the positive x-axis.
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Daniel went hiking. He began his hike at an altitude of 120 feet. He climbed at a rate of 25 feet every half hour. What is Daniel’s Altitude after 6 hours of hiking?
Answer:
420 feet.
Step-by-step explanation:
We have to first multiply 25 times 12 (because 6 hours is 12 half hours) which is 300.
300 plus his starting point, 120 is 420.
Therefore, your answer is 420 feet.
Answer: 420 feet
Step-by-step explanation:
Because Daniel climbed 25 feet every half hour for 6 hours, 25 feet is added 12 times to the 120 feet he already climbed.
120 + (25 × 12)
25 × 12 = 300
120 + 150 = 420
complete the table to make sense of the rate. Us the table to help you answer the main question. Kim was able to make 10 snowflakes in 2/5 of an hour. How many snowflakes can she make in 1 hour? How many in 6 hours? Show work including graphing
The amount of snowflakes that she can make for each time is given as follows:
1 hour: 25 snowflakes.6 hours: 150 snowflakes.What is a proportional relationship?A proportional relationship is a special case of a linear function, with an intercept of zero, and is defined as follows:
y = kx.
In which the variables are given as follows:
y is the output variable.x is the input variable.k is the constant of proportionality.In the context of this problem, the input and the output variables are given as follows:
Input variable: Time in hours.Output variable: Amount of snowflakes.Kim was able to make 10 snowflakes in 2/5 of an hour, hence the constant is of:
k = 10/(2/5) = 10 x 5/2 = 25.
Thus the equation is of:
y = 25x.
Then the amounts are given as follows:
1 hour: 25 snowflakes as 25 x 1 = 25.6 hours: 150 snowflakes, as 25 x 6 = 150.More can be learned about proportional relationships at https://brainly.com/question/10424180
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The length of a rectangle is 11 ft more than double the width, and the area of the rectangle is 63 ft². Find the dimensions of the rectangle
The dimensions of the rectangle is 18 ft by 3.5 ft.
What is the dimension of a 2D objects?
Geometrically speaking, 2-dimensional shapes or objects are flat planar figures with two dimensions—length and width. Shapes that are two-dimensional, or 2-D, have only two faces and no thickness. Two-dimensional objects include a triangle, circle, rectangle, and square.
Assume that the width of the rectangle is w.
Given that, the length of a rectangle is 11 ft more than double the width.
The length of the rectangle is (2w + 11) ft.
The area of the rectangle is (2w + 11) w = 2w² + 11w.
Also given the area of the rectangle is 63 ft².
Therefore,
2w² + 11w = 63
2w² + 11w - 63 = 0
Now applying quadric formula:
w = (-11 ± √{(-11)² -(4 × 2 × (-63))})/(2 × 2)
w = -9, 3.5
Since the length of the rectangle can't be negative, thus w ≠ -9.
w = 3.5
The length of the rectangle is (2 × 3.5 + 11) = 18 ft.
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El coche de juan viaja 20 m/s y el coche de pedro recorre 150 metros en 5 segundos. Si ambos tienen rapidez constante ¿ cuantas veces es mas rapido el coche de pedro que el coche de juan?
Therefore , the Pedro's car speed is 2 times the Juan car speed.
Define the speed.Speed is a measure of how fast something or an individual is moving. It is possible to determine an object's average speed if you are aware of how far it has come and how the time it took to get there. Speed is determined by the formula: speed = distance * time.
Here,
Juan car travels 15 m/s
Where as Pedro's car travels 150 meters in 5 seconds.
Thus,
Pedro car speed is
=> 150/5
=>30 m/s
thus , pedro car speed is 30 m/s
Therefore , the pedro car speed is 2 times the Juan car speed.
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I NEED HELP ASAP!! 20−(2)(−7)+(−9)÷(−3)
What is the value of this expression?
Answer:
It's 37
Step-by-step explanation:
Answer: 37
Step-by-step explanation:
[tex]\displaystyle\\20-(2)(-7)+(-9)\div(-3)=\\\\20-(-14)+\frac{-9}{-3}=\\\\20+14+3=\\\\37[/tex]
Rick is looking for an expression equal to 64 + 88. In that expression, the greatest common factor of the two numbers in the parentheses must be 1. Which expression should he choose?
The expression that Rick choose is 99 + 53.
What is parentheses?
The well-known () symbols, often known as "round brackets," are used in pairs to group things together or designate the order of operations in an equation. You will frequently need to employ brackets in math when forming or resolving equations. They support number grouping and operation definition.
Given expression is 64 + 88
The simplest form of the expression 64 + 88 is 152.
152 = 99 + 53.
152 = 151 + 1
152 = 149 + 3
152 = 139 + 13
152 = 137 + 15
152 = 131 + 21
152 = 127 + 25
152 = 113 + 39
152 = 109 + 43
152 = 107 + 45
152 = 103 + 49
152 = 101 + 51
etc.
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which expression is equivalent to 3m 1n242m 2n3
The equivalent expression to the given expression [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex] is (81m²n⁵)/8.
What is an expression?An expression is formed by the arrangement of variables, constants, coefficients, and arithmetic operations.On simplifying an expression, we get its equivalent expression. Equivalent expressions are those that give the same value when evaluated.Calculation:The given expression is [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]
Simplifying the given expression:
We have [tex](a^x)^y = a^{xy}[/tex], [tex]a^{-x} = \frac{1}{a^x}[/tex], and [tex]\frac{a^x}{a^y} = a^{x-y}[/tex]
Applying these exponential formulae in the above expression, we get
[tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3} = \frac{(3)^4(\frac{1}{m^4})(n^2)^4 }{(2)^3(\frac{1}{m^6})n^3 }[/tex]
⇒ 81/8 × (m⁶/m⁴) × (n⁸/n³)
⇒ 81/8 × m⁶⁻⁴ × n⁸⁻³
⇒ 81/8 × m² × n⁵
Therefore, the equivalent expression for the given expression is (81m²n⁵)/8.
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Find the area of the following
trapezoid:
10 cm
HT
8 cm
12 cm
22 cm
The area of a trapezoid is 136[tex]cm^{2}[/tex].
we know that the area of a trapezoid is:
Area= 1/2 * (a+b) * h
where a and b are the lengths of the parallel sides of the trapezoid, and h is the height.
Now as per the question,
first parallel side, a = 12cm
second parallel side, b = 22cm
height, h =8cm
Area of a trapezoid = 1/2 * (12+22) *8 [tex]cm^{2}[/tex]
= 136[tex]cm^{2}[/tex]
Therefore, the area of a trapezoid is 136[tex]cm^{2}[/tex].
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Refer to the data. If all the firms in the industry merged into a single firm, the Herfindahl index would become: A. 100. B. 1,000. C. 10,000. D. 100,000.
If suppose all firms at industry are well merged into a single, then the Herfindahl index must become 10,000. Option (c) is correct.
A merger among organizations generating exclusive items or offerings for one particular completed product. A vertical merger takes place whilst or greater firms, working at exclusive ranges inside an industry's deliver chain, merge operations. Historically, mergers and acquisitions generally tend to end result in process losses.
Most of that is as a consequence of redundant operations and efforts to enhance efficiency. The threatened jobs encompass the goal company's CEO and different senior management, who regularly are provided a severance bundle and allow go."). Some not unusualplace synonyms of merge are amalgamate, blend, coalesce, commingle, fuse, mingle, and mix. While these kinds of phrases mean "to mix right into a greater or much less uniform whole," merge indicates a combining wherein one or greater factors are misplaced withinside the whole.
If all firms were merged at HHI, then it would be:
1. add all share market percent
2. take square of step 1
=(18+ 17+ 17+ 17+ 16+ 15= 100)
=100*100
= 10000
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Correct Question:
Refer to the data. If all the firms in the industry merged into a single firm, the Herfindahl index would become: A. 100. B. 1,000. C. 10,000. D. 100,000.
What is the Herfindahl-Hirschman Index for a market with two firms, one having 99.5 percent of the market and the other having 0.5 percent?
Answer:A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
When adding 32.6 to a certain number, the sum is 36.14, as seen below. What number should go in the box to complete the addition problem? 3
The unknown number which is added to the number 32.6 will be 3.54.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that when adding 32.6 to a certain number, the sum is 36.14. The unknown number will be calculated as,
32.6 + N = 36.14
N = 36.14 - 32.6
N = 3.54
Therefore, the unknown number which is added to the number 32.6 will be 3.54.
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find four consecutive even integers such that the sum of the first three exceeds the fourth by 8.
Answer:
4, 6, 8, 10
Step-by-step explanation:
consecutive even integers have a difference of 2 between them.
let the 4 consecutive even integers be
n , n + 2 , n + 4 , n + 6 , then
n + n + 2 + n + 4 = n + 6 + 8
3n + 6 = n + 14 ( subtract n from both sides )
2n + 6 = 14 ( subtract 6 from both sides )
2n = 8 ( divide both sides by 2 )
n = 4
n + 2 = 4 + 2 = 6
n + 4 = 4 + 4 = 8
n + 6 = 4 + 6 = 10
the 4 integers are 4 , 6 , 8 , 10
If I can prove that X is c.e. and ω∖X is c.e. then I can prove that X is computable by the theorem "Let W⊆ω. Then W is computable if both W and ω∖W are c.e". But I'm not able to proceed on how should I do this.
Proving X is computable by the theorem "Let W⊆ω. Then W is computable if both W and ω∖W are c.e".
Given :
If I can prove that X is c.e. and ω∖X is c.e. then I can prove that X is computable by the theorem "Let W⊆ω. Then W is computable if both W and ω∖W are c.e". But I'm not able to proceed on how should I do this.
Take a computable surjection :
f : ω → W.
Defined G = { f ( x ) ∣ x ∈ ω and ∀y < x ( f ( y ) < f ( x ) ) }.
here clearly, G ⊆ W .
And G is infinite. For if f ( x ) ∈ G, take the smallest y such that f ( y ) > f ( x ); then f ( y ) ∈ V.
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1. There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
A. 0.06% B. 0.4% C. 6%
D. 40%
Answer:
The correct answer is D: 40%.
Step-by-step explanation:
To find the percentage of the pieces of fruit in the bowl that are apples, you need to divide the number of apples by the total number of pieces of fruit and then multiply the result by 100%.
So, you would do the following calculation: (6 apples / 15 pieces of fruit) * 100% = 40%.
