What term is used to name a change in the physical properties of a substance which is usually reversible?
Physical changes are those that occur when a substance's physical properties, such as appearance, texture, color, etc.
Given that,
We have to find what term is used to name a change in the physical properties of a substance which is usually reversible.
We know that,
When only the physical characteristics of a material—such as its size, shape, color, condition, or appearance—alter, this is referred to as a physical change in the substance. Its chemical makeup is unaltered. a few instances of physical change water and sugar being dissolved. wax melting.
Physical changes are those that occur when a substance's physical characteristics, such as appearance, texture, color, odor, melting and boiling temperatures, density, solubility, polarity, etc., change.
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Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1
10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8
1
2
hours last week, how much money did she donate to the charity?
$9.86, Kendra donates to the charity.
Kendra worked 8 hours and 30 minutes last week
She earns $ 11.60 per hour
She will earn money if she works for 30 minutes = $(11.60/2)
Therefore,
Total amount of money she earns last week = $((11.60×8) + (11.60÷2))
= $(92.8+5.80)
= $98.6
Kendra donates 1/10th of the total money she earns in a week
Therefore,
Amount she donate last week = total amount she earns last week * 1/10
= $(98.6× (1÷10))
=$9.86
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lian wants to advertise how many chocolate chips are in each big chip cookie at her bakery. she randomly selects a sample of 46 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 7.4 and a standard deviation of 2.7. what is the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies? assume the data is from a normally distributed population. round answers to 3 decimal places where possible.
The big chip cookie's 95% confidence interval for the amount of chocolate chips per cookie is [8.325,6.474].
Given that,
The quantity of chocolate chips in each big chip cookie at Lian's bakery is something she wants to promote. She chooses a sample of 46 cookies at random and discovers that the average amount of chocolate chips per cookie has a standard deviation of 2.7 and a mean of 7.4.
We have to find what is the big chip cookie's 95% confidence interval for the amount of chocolate chips per cookie.
We know that,
The formula is
=x±Z(S/√n)
=7.4±2.326(2.7/√46)
=8.325 and 6.474
Therefore, the big chip cookie's 95% confidence interval for the amount of chocolate chips per cookie is [8.325,6.474].
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What is the value of x?
I need help with this please
Answer:
71
Step-by-step explanation:
the triangle is isosceles, meaning that two sides are the same. That means the two bottom angles are also going to be the same. The sum of all angles on a triangle is 180, so subtract 38 from that and get 142. Since there are two other angles, divide 142 by two to get 71. Hope this helps!
-3(16x - 8)+3=123
solve for x
write the following python function: asquare(k) takes k as a parameter and returns a list containing squares of first k integers. asquare(5) will return the list [1, 4, 9, 16, 25] print that list
The python function is, [1, 4, 9, 16, 25] [1, 4].
What is square of a number?
It is easy to determine a number's square. To determine the given number's square, we must multiply it by itself. A number raised to the power of 2 is always used to represent the square term.
For instance, the square of 6 is equal to 6 times 6, or 6 x 6 = 6^2 = 36.
A "Square Number" is the product of multiplying an integer or number (not a fraction) by itself.
For instance, 3 x 3 = 3^2, or 3 multiplied by 3 equals 3 squared. In essence, a square number is the result of multiplying an integer or number by itself exponentially.
Hence, the python function is, [1, 4, 9, 16, 25] [1, 4].
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Which functions are increasing?; How to know if a function is increasing or decreasing?; Which section of the function is increasing?; Which type of increasing function eventually exceeds all other increasing functions?
Linear, polynomial, and quadratic functions can be both increasing or decreasing functions. Exponential function is monotonically increasing function. The derivative of a function may be used to determine whether the function is increasing or decreasing. Exponential functions eventually exceed all other increasing functions.
Function, in mathematics, refers to an expression or rule that describes a relationship between two or more variables. A function is said to be an increasing function when the y-value increases as the x-value increases and vice versa. In order to determine whether the function is increasing or decreasing, the derivative of a function may be used on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I. From the given function options, Exponential functions eventually exceed all other increasing functions as the one of variable is in the exponential leading an exponential increase and not a constant increase.
Note: The question is incomplete. The complete question probably is: From the following, Which functions are increasing? How to know if a function is increasing or decreasing?; Which section of the function is increasing?; Which type of increasing function eventually exceeds all other increasing functions? A) linear B) exponential C) polynomial D) quadratic.
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Four transformations of the function f(x) = 4x + 5 are given below.
For each transformation, drag the expression that shows the result of that transformation into the box under it.
The results of the transformation for f(x+3), f(x)+3, 3f(x) and f(3x) are 4(x + 3)+ 5, 4x + 3 + 5, 3 (4x + 5) and 4(3x) + 5 respectively
How to determine the expression that shows the result of the transformation?A geometric transformation is a function that maps points in a plane or space to other points in the same plane or space. Geometric transformations can be used to change the size, shape, orientation, or position of an object or image.
Given: f(x) = 4x + 5
f(x+3) = f(x+3) = 4(x + 3)+ 5
f(x) + 3 = 4x+5 + 3 = 4x + 3 + 5
3 f(x) = 3 (4x + 5)
f(3x) = 4(3x) + 5
Therefore, drag the results into the box accordingly
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What is the image of the point (6,-4) after a rotation of 90 degrees counterclockwise about the origin?
Answer: (4, 6)
Step-by-step explanation:
You change the numbers places (x to y and y to x) while switching the sign of the original y value.
A group of ten friends played a number guessing game. They were asked to pick a number
between 1 and 20. The person closest to the target number wins. The ten people made these
guesses:
The table with the absolute guessing errors should be completed as follows;
Guess 2 15 10 8 12 19 20 5 7 9
Absolute guessing error 12 1 4 6 2 5 6 9 7 5
A graph of the guess and absolute guessing error is shown in the image attached below.
Yes, the absolute guessing error is a function of the guess because every guess (input value) has one absolute guessing error (output value).
What is the margin of error?In Mathematics, the margin of error (MOE) is sometimes referred to as an absolute guessing error and it can be defined as a measure of the difference that exist between an observed value and a true value of the population parameter.
Mathematically, the absolute guessing error for the guesses made by these group of ten friends with respect to the actual number of 14 as follows;
Absolute guessing error = 14 - 2 = 12
Absolute guessing error = 14 - 15 = 1
Absolute guessing error = 14 - 10 = 4
Absolute guessing error = 14 - 8 = 6
Absolute guessing error = 14 - 12 = 2
Absolute guessing error = 14 - 19 = 5
Absolute guessing error = 14 - 20 = 6
Absolute guessing error = 14 - 5 = 9
Absolute guessing error = 14 - 7 = 7
Absolute guessing error = 14 - 9 = 5
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The members of a sewing circle are making blankets to give to shelters. This week, they made 49 twin-size blankets and 49 queen-size blankets, using a total of 441 yards of fabric. Last week, the members completed 21 twin-size blankets and 48 queen-size blankets, which required 405 total yards of fabric. How much fabric is used for the different sizes of blankets?
8 twin-size blanket , y = 1 queen-size blankets will be the fabric used
According to the given information
let
x = number of yards of fabric required to make a twin-size blanket.
y = the number of yards of fabric required to make a queen-size blanket
This week, they used 441 yards of cloth to create 49 twin-size blankets and 49 queen-size blankets:
49x + 49y = 441
The group members finished 21 queen-size blankets and 48 twin-size blankets last week, using 405 yards of cloth altogether:
48x + 21y = 405
Solving the two equations
1029x + 1029y = 9261
2352x + 1029y = 19845
hence
Solving the above two equations
We get
1323x = 10584
x = 8
Putting the value of x in above one equation
y = 1
8 twin-size blanket , y = 1 queen-size blankets will be the fabric used
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Use the distributive property to write an equivalent expression.
4 (w - 2r + 4)
The distributive equivalent expression of 4(w -2r + 4) is 4w -4(2r) + 4(4)
How to write the Distributive law?distributive law, also called distributive property, in mathematics, the law relating the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.
a(b + c) = ab + ac
using the above distributive law and comparing the expression below
4 (w - 2r + 4)
we can write it as 4w -4(2r) + 4(4)
In conclusion the equivalent expression is 4w -4(2r) + 4(4)
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use the given coordinates to determine whether $\triangle abc\cong\triangle def$ .$a(-2,-2),\ b(4,-2),\ c(4,\ 6),\ d(5,\ 7),\ e(5,\ 1),\ f(13,\ 1)$the triangles congruent.
The ΔABC and ΔDEF are congruent by SSS congruent criteria
According to the question,
We have to prove ΔABC and ΔDEF are congruent
Coordinates of ΔABC are given as :
A(-2 , -2) , B(4 , -2) and C(4,6)
By using Distance formula ,
AB = √(-2-(-2))²+ (4 - (-2))²
=> √(-2 + 2)² + (4 +2)²
=> √ 6²
=> 6
AC = √(6-(-2))²+ (4 - (-2))²
=> √(6 + 2)² + (4 +2)²
=> √ 56 + 36
=> √92
BC = √(6-(-2))²+ (4 - 4)²
=> √(6+ 2)²
=> √ 8²
=> 8
Coordinates for ΔDEF,
D(5 , 7) , E(5,1) and F(13 , 1)
By using Distance formula ,
DE = √(1 - 7)²+ (5 -5)²
=> √(-6)²
=> √36
=> 6
DF = √(1-7)²+ (13 - 5)²
=> √(-6)² + (8)²
=> √ 56 + 36
=> √92
EF= √(1 - 1)²+ (13 - 5)²
=> √ 8²
=> 8
Now, two triangles are congruent if they are equal sides or equal angles
Therefore , In ΔABC and ΔDEF
AB = DE
AC = DF
BC =EF
By the SSS criteria , ΔABC and ΔDEF are congruent
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Which statement is not correct?
A. Spurious correlation can often be reduced by expressing X and Y in per capita terms.
B. Autocorrelation is mainly a concern if we are using time - series data.
C. Heteroscedastic residuals will have roughly the same variance for any value of X.
D. Standardized residuals make it easy to identify outliers or instances of poor fit.
Heteroscedastic residuals will have roughly the same variance for any value of X. Hence:
The correct option is C.
Hetero means that they are different/vary. Homoscedastic would mean that they do not change as the value of x changes.
When the variance of the residuals is uneven throughout a range of measured values, this is referred to as heteroskedasticity. The analysis results may be flawed if heteroskedasticity is present and the population employed in the regression has unequal variance.
One presumption regarding the residuals/errors in OLS regression is that they have the same, but unmeasured, variance. The term "constant variance" or "homoscedasticity" refers to this. Heteroscedasticity is the issue when this presumption is broken.
Hence we get the required answer.
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you are examining the data with a stem-and-leaf plot. here is the start of the plot. finish the plot. 3
you are examining the data with a stem-and-leaf plot. here is the start of the plot. finish the plot. 3|6
3| 0 2 4 5 6 8 9
A stem-and-leaf plot is a type of data display that shows the frequency of data items in a set. The plot consists of two columns, a stem column and a leaf column. The stem column contains the leading digit or digits of each data item, and the leaf column contains the remaining digits.
In this case, the stem is 3 and the leaf column is 6. To finish the plot, we need to add other data items to the leaf column which have the same stem (3). So, the completed plot would look like this:
3| 0 2 4 5 6 8 9
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Variability of a statistic from sample to sample due to chance. Same thing as "variability due to chance." Error refers to how samples vary from one to another. Good sampling techniques control for this.
Random error is the variation in a statistic from sample to sample due to chance. It is the difference between a sample statistic and the true population parameter that it is estimating.
Good sampling techniques help to reduce the amount of random error in a sample by reducing the variability of the sample results.
Random error is the variability of a statistic from sample to sample due to chance. It occurs when a statistic from a sample does not accurately reflect the true population parameter it is attempting to estimate. Random error can be minimized through the use of good sampling techniques, such as randomization and stratification, as these help to reduce the variability of results from sample to sample. Good sampling techniques also help to ensure that the sample is representative of the population, thus reducing the amount of random error.
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The coordinate of point x on PQ such that the ratio of PX to XQ is 3:1 is __?
The coordinate of point X on the line segment PQ is 4.
What is a number line?
A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.
Given that the coordinate of P is -5 and the coordinate of Q is 7. A point X lies on PQ.
Assume that the coordinate of X is a.
The distance between P and X is a - (-5) = a + 5.
The distance between Q and X is 7 - a.
Given that the ratio of PX and XQ is 3:1.
According to question,
(a + 5) : (7 - a) = 3:1
(a + 5) / (7 - a) = 3/1
Cross multiply :
5 + a = 21 - 3a
Add 3a on both sides:
a + 3a = 21 - 5
4a = 16
Divide both sides by 4:
a = 4.
The coordinate of X is 4.
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A 95% confidence interval for μ is computed to be (1.95, 4.20). For each of the following hypotheses, state whether H0 will be rejected at the 0.05 level.H0: μ = 4 versus H1: μ =/ 4H0: μ = 1 versus H1: μ =/ 1H0: μ = 1.7 versus H1: μ =/ 1.7H0: μ = 2.9 versus H1: μ =/ 2.9
In hypothesis testing, the null and alternative hypotheses for each of the given situations are as follows:
H0: μ = 4 versus H1: μ =/ 4H0: μ = 1 versus H1: μ =/ 1H0: μ = 1.7 versus H1: μ =/ 1.7H0: μ = 2.9 versus H1: μ =/ 2.9Based on this information, we can make the following conclusions:
For H0: μ = 4, we cannot reject H0 at the 0.05 level because 4 falls within the confidence interval (1.95, 4.20).For H0: μ = 1, we can reject H0 at the 0.05 level because 1 falls outside of the confidence interval (1.95, 4.20).For H0: μ = 1.7, we can reject H0 at the 0.05 level because 1.7 falls outside of the confidence interval (1.95, 4.20).For H0: μ = 2.9, we cannot reject H0 at the 0.05 level because 2.9 falls within the confidence interval (1.95, 4.20).Learn More about Confidence Intervals here:
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estimate or predict some of the population parameters or conduct hypothesis tests for some of the population parameters.
"Parameter" is the descriptive measure of the population. The description, that if the data refuses the assumption of a parameter is the main goal of the tests of hypothesis.
There are many population parameters. Some examples of the population parameters include:
The mean of the body weight of a population.The mean of the height of the population.The size of the populationThe mean of the diastolic blood pressure of a population.The health related behaviorsthe percentage of people smoking in a population, etc.In general, it is not possible to measure the parameters of a population, as it requires to collect information from each and every member of the population. That is why, 'sample statistics' is conducted.
What is a sample statistics?
In sample statistics, samples are collected from each and every aspect of the population and then the samples are tested in order to derive a conclusion. For example: the mean diastolic blood pressure of more than one sample, the mean body weight of more than one population, etc.
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factor this expression 9x^2 - 18x
factor this expression 4x^2 - 9
Answer:
9 x (x - 2) and (2 x - 3) (2 x + 3)
Step-by-step explanation:
Factor the following:
9 x^2 - 18 x
Factor 9 x out of 9 x^2 - 18 x:
Answer: 9 x (x - 2)
Factor the following:
4 x^2 - 9
4 x^2 - 9 = (2 x)^2 - 3^2:
(2 x)^2 - 3^2
Factor the difference of two squares. (2 x)^2 - 3^2 = (2 x - 3) (2 x + 3):
Answer: (2 x - 3) (2 x + 3)
Suppose a bag of colored marbles contains 33 marbles numbered 1 to 33. If you draw one marble at a time from the bag, without replacement, how many different ways can you draw all of the marbles from the bag? Remember that "without replacement" means that the marbles are not returned to the bag after they are chosen. Write your answer in factorial notation.
The ways you can draw all of the marbles from the bag is 33! ways
How to determine the ways you can draw all of the marbles from the bag?From the question, we have the following parameters that can be used in our computation:
Total number of marbles, n = 33
Total numbers of marbles picked at a time, r = 1
From the question, the marbles are selected without replacement
This means that the number of ways the marbles can be drawn from the bag is calculated using the following factorial formula
Total = n!
Where
n = 33
Substitute the known values in the above equation
Total = 33!
Apply the factorial formula
n! = n * (n - 1) * (n - 2) * .... * 1
So, we have
Total = 33 * 32 * 31 * 30 * .... * 1
Evaluate
Total = 8.6833176e+36
Hence, the number of ways is 33!
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Select numbers
to create a different
expression that is equal to 8 x7
Answer:
8 x 7 is the same as 7 x 8.
An expression that is equal to 8 x 7 would also be an expression that has the same solution.
7 x 8 = 56
4 x 14 = 56
2 x 28 = 56
1 x 56 = 56
The expression could also have division instead of multiplcation, for example, 7 x 8 = 56 could also be written as 56 ÷ 8 = 7, or 56 ÷ 7 = 8
I hope this helps :)
what is the value of x in the equation 2/3(1/2x+12)=1/2(1/3x+14)-3; k 0.03 1.01 k 2.45 1.81 k; which table represents a direct variation function 3 1 2 5 10; what is the solution (a, c) to this system of linear equations?; which is the graph of linear inequality 6x + 2y > โ10?; which input value produces the same output value for the two functions x=-12; which is the graph of y-3=-2/3(x+6); which graph shows the solution to the system of linear inequalities? 2x โ 3y <12 y < โ3
The value for x in the given equation is -24.
Combine. 1/2 and x.
2x/6 + 24/3 = (x/6 + 14/2) -3
2x/6 + 48/6 = (x+42)/6 - 18/6
2x = 42 - 18 - 48
2x = -48
x = -24
A direct variation is a proportionality relationship in which two quantities follow a direct relationship.
An INEQUALITY is a statement which shows that two quantities are not equal or may not be equal. If two quantities are not equal, then one is greater than the other.
≥ (greater than or equal to) means at least that amount or more.
≤ (less than or equal to) means at most that amount or less.
To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation. If the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.
Please click the image to view the graph
6x + 2y > 10
Replace the input variable in the formula with the value provided.
Calculate the result.
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Ping is sewing a square tablecloth. The table she wants to cover is 5.5 feet on each side and she wants it to hang over on each side 9 inches. How many square feet of fabric will Ping need?
I've answered this question in two ways and I think I get to the right answer the second time but it's driving me crazy why it doesn't work the first way.
First way:
The cloth is now a rectangle length 66 in (5.5 feet x 12) by 75 in (5.5 feet x 12, plus 9).
a=l*w=66x75=4950 inches÷12 =412.5 sq ft.
Checking my answer for reasonableness, I thought, but if I just multiply 5.5 feet x 5.5 feet , sans adjustments, I get 30.25.
Second way: 9 inches/12 = .75 ft 5.5+.75 = 6.25 ft, and 5.5 x 6.25 ft = 34.375 SQ ft, makes much more sense. But WHY?
Answer:
The first way is rectangular. You also converted it wrong for the first one. the inches aren's squared. you're converting regular inches into regular feet, instead it should be square inches into square feet.
And Ping is sewing a square tablecloth, not a rectangular one. you have to add the 9 inches on both sides, not just one. You can convert it either way you want, but you have to add the 9 inches to both.
tim a seventh grade student, is introduced to the concept of lines in basic geometry class. he applies this concept in real life
The concept of the line with the geometric shapes and the real life examples has been explained
The line is defined as the two dimensional figure that has length, the line do not has width. So we can says that line is the formed by using the set of points together in the straight line. There are different types of lines like straight line, curved line
Using the lines we can form different types of geometric shapes like triangle, rectangle etc. The triangle can be formed by using three straight lines and the rectangle can be formed by using four straight line
The real life example of the lines are, the pen and pencil represents the straight line
Therefore, the concept of straight line has been explained
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In a class of students, the following data table
summarizes how many
students have a brother or a sister. What is the probability that a student
chosen randomly from the class has a sister?
Has: brother Does not have a brother
Has a sister
6
12
Does not have a sister
3
The probability that a student chosen randomly from the class has a sister is 3/5.
What is the probability of an event?The probability of an event is the fraction of the number of favorable occurrences of an event to the total occurrences of the event.
P(a) = n(a)/n(s)
where 'a' is an event.
Calculation:The given data table shows how many students have a brother or a sister in a class of students.
The number of students who have both a sister and a brother = 6
The number of students who have only a brother and do not have a sister = 3
The number of students who have only a sister and do not have a brother = 12
The number of students who do not have both a sister and a brother = 9
So, the total number of students in the class = 6 + 3 + 12 + 9 = 30
Then, the probability that a student chosen randomly from te class has a sister is
= (number of students who have a sister)/total number of students
= (6 + 12)/30
= 18/30
= 3/5
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demonstrate how you would employ fourier analysis to determine the frequencies of any other particular chords at varying volumes of your own choosing
The use of Fourier analysis in the chords of varying volumes is explained below .
What is Fourier Series ?
The Fourier Series can be defined as a expansion of a periodic function f(x) in terms of infinite sum of sine and cosine .
The Fourier Series make use of orthogonality relationship of sine and cosine function.
The process in which the Fourier Series analysis helps in determine the frequencies of any other particular chords at varying volumes is :
the Fourier series convert the time-domain input signal into a frequency-domain representation which is analyzed for the intensities of specific pitches.
and the relationship between the pitches at a particular given time is then analyzed to find the chord that is being played.
Therefore , the process of Fourier series in music is explained above .
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if 3x โ 7 < 29, then which of the following must be true?; if x, y, and z are whole numbers greater than 2, and if xyz2 = 735, what is the value of x + y + z ?
The value of x + y +z is 15.
A whole number is what?
a variety of numbers that contains both zero and the natural number.
Fractions and decimals are excluded.
Real numbers that are not divisible by two are referred to be odd numbers.
X, Y, and Z are all full numbers in the equation.
x, y, and z all have values larger than 2.
xyz² = 735
A value for x + y + z must be found.
Assuming x = 3, the preceding statement results in y = 5 and z = 7
These are odd numbers with a difference of 2 and are greater than 2.
They must satisfy the condition that xyz2 = 735.
= 3 * 5 * 7²
= 735
These are the variables' values and as a result,
The sum of x, y, and z equals.
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Let U be a Universal set with subsets A and B. U={1,2,3,4,5,6,7,8,9,10} A={1,3,5,7} B={4,5,6} Find A′. Use set roster notation. If there is more than one element in the set, list in ascending order, separated by a comma.
The complement of set A is-
A' = {2, 4, 5, 6, 7, 8, 9, 10}
What is a set? What is union of sets? What is complement of a set?A set is a collection of elements or numbers or objects, represented within the curly brackets { }. For example: {1,2,3,4} is a set of numbers.The union of two sets is a set containing all elements that are in A or in B (possibly both). For example, {1,2} ∪ {2,3} = {1,2,3}.The complement of a set is the set that includes all the elements of the universal set that are not present in the given set.We have -
U={1,2,3,4,5,6,7,8,9,10} A={1,3,5,7} B={4,5,6}A' = U - A
A' = {1,2,3,4,5,6,7,8,9,10} - {1,3,5,7}
A' = {2, 4, 5, 6, 7, 8, 9, 10}
Therefor, the complement of set A is -
A' = {2, 4, 5, 6, 7, 8, 9, 10}
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Please help me with this question
Answer:
2093pi/90 cm
Step-by-step explanation:
You want the exact length of the arc subtended by a 182° central angle in a circle of radius 23 cm.
Arc lengthThe length of an arc of a circle is given by ...
s = rθ
where θ is the central angle in radians.
ApplicationThe radian measure of an angle of 182° is ...
182°(π/180°) = 91π/90 . . . . radians
Then the arc length is ...
s = (23 cm)(91π/90) = 2093π/90 cm