Answer: is option (3) -4x²-6.
Step-by-step explanation: First, we need to add the two given polynomials:
4x^2 - x + 1 + (-6x^2 + x - 4) = -2x^2 - 3
Now, we need to multiply this sum by 2:
2(-2x^2 - 3) = -4x^2 - 6
Therefore, the polynomial that is twice the sum of 4x^2-x+1 and -6x^2+x-4
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
The drive-thru that typically has more wait time is
Burger Quick, because it has a larger median.
Option A is correct.
How do we calculate?Because Burger Quick's box plot displays a higher interquartile range (from 9.5 to 24) than Super Fast Food (from 8.5 to 15.5), Burger Quick often has longer wait times.
Additionally, Burger Quick's median (15.5) is greater than Super Fast Food's median (12), demonstrating that Burger Quick's middle value of reported wait times is higher than Super Fast Food's middle value of reported wait times.
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[tex]Please help[/tex]
The new cost after the discount and tax are applied is $872.10, which is option (d).
What is statistics?Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.
First, let's calculate the amount of discount Angel will receive using the coupon code:
Discount = 15% of $950 = 0.15 x $950 = $142.50
Next, let's calculate the new price of the jacket after the discount is applied:
New price = $950 - $142.50 = $807.50
Now, let's calculate the amount of tax that will be applied to the new price:
Tax = 8% of $807.50 = 0.08 x $807.50 = $64.60
Finally, let's add the tax to the new price to get the total cost:
Total cost = $807.50 + $64.60 = $872.10
Therefore, the new cost after the discount and tax are applied is $872.10, which is option (d).
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simplify the sum and please state any restrictions on variables, show work please
The sum of the expression is simplified to give x² + 11x - 6/(x-3)(x+3)
What are algebraic expressions?Algebraic expressions are simply defined as expressions that consist of terms, factors, constants, variables and coefficients.
These mathematical expressions are also made up of arithmetic operations such as;
AdditionSubtractionMultiplicationDivision BracketParenthesesFrom the information given, we have the expression as;
x-2/x-3 + 10x/x² - 9
Find the lowest common factor, we have;
(x-2)(x+3) + 10x/(x-3)(x+3)
expand the bracket
x² + 3x - 2x - 6 +10x/(x-3)(x+3)
Now, add the like terms, we get;
x² + 11x - 6/(x-3)(x+3)
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how to identify a semicircle
Answer: An arc whose measure equals 180 degrees is called a semicircle, since it divides the circle in two. Every pair of endpoints on a circle either defines one minor arc and one major arc, or two semicircles. Only when the endpoints are endpoints of a diameter is the circle divided into semicircles.
A semicircle is a two-dimensional geometric shape that consists of a curved arc and a straight line segment that connects the two endpoints of the arc. Here are the steps to identify a semicircle:
Look for a curved arc that forms a half-circle shape.
Locate the center point of the arc, which is also the midpoint of the line segment connecting the two endpoints.
Check that the line segment connecting the endpoints is a diameter of the circle.
Confirm that the arc and line segment together form a continuous, closed shape that divides the circle into two equal halves.
Finally, compare the shape to a circle to make sure that it is only half of a complete circle.
If all of these conditions are met, then the shape is a semicircle.
How to find the area of the shaded polygon? Will give brainliest! Thank you!
A=200in² is the area of the shaded polygon so 200in² ➗ 30in
Out of 50 students in a class,10 student like maths but not science and 15 students like science but not maths.if 10 students like neither of both subjects find the ratio of the students who like maths or science
Answer:
Let's denote:
M: the set of students who like maths
S: the set of students who like science
n(M): the number of students who like maths
n(S): the number of students who like science
n(M ∩ S): the number of students who like both maths and science
n(M ∪ S): the number of students who like maths or science (or both)
We can use the principle of inclusion-exclusion to find n(M ∪ S):
n(M ∪ S) = n(M) + n(S) - n(M ∩ S)
From the problem statement, we know:
n(M) = 10
n(S) = 15
n(M ∩ S) = ? (unknown)
We also know that 10 students like neither maths nor science, which means that:
n(M ∪ S)' = 10
where (M ∪ S)' denotes the complement of M ∪ S, i.e., the set of students who do not like maths or science.
We can use the formula:
n(A') = N - n(A)
where N is the total number of students (N = 50).
n(M ∪ S)' = n((M ∪ S))' = N - n(M ∪ S) = N - (n(M) + n(S) - n(M ∩ S))
Substituting the known values:
n((M ∪ S))' = 50 - (10 + 15 - n(M ∩ S)) = 25 + n(M ∩ S)
Simplifying:
n(M ∩ S) = n((M ∪ S))' - 25 = 10
Therefore, we have:
n(M ∪ S) = n(M) + n(S) - n(M ∩ S) = 10 + 15 - 10 = 15
The ratio of the students who like maths or science is:
n(M ∪ S) / N = 15 / 50 = 3/10
So the required ratio is 3:10.
Step-by-step explanation:
one box contains 4 green balls and 3 red balls. another box contains 4 redballs and 3 purple balls. a box will be selected at random, then two balls willbe randomly selected from that box without replacement. if the first ball isred, what is the probability that the second ball also will be red? express youranswer as a common fraction and sum the numerator and denominator.
The probability of drawing two red balls in a row from one of the two boxes, given that the first ball drawn is red, is 1/7.
The first step in solving this problem is to determine the probability of selecting the red box versus the other box. Since we have two boxes and each one has an equal chance of being selected, the probability of selecting the red box is 1/2.
Now we can put all of these probabilities together to determine the overall probability of drawing two red balls in a row from one of the two boxes.
We know that the probability of selecting the red box is 1/2, the probability of drawing a red ball on the first try is 4/7, and the probability of drawing a red ball on the second try, given that we've already drawn one red ball, is 1/2.
To find the overall probability, we simply multiply these three probabilities together:
(1/2) x (4/7) x (1/2) = 1/7
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The probability that the second ball will be red, given that the first ball is red, is 3/7.
Explanation:To find the probability that the second ball will also be red given that the first ball is red, we need to consider two cases.
Case 1: Selecting a box with 4 red balls and 3 purple balls.
The probability of selecting a red ball from this box is 4/7. Since we are drawing without replacement, the probability of selecting another red ball is 3/6.Case 2: Selecting a box with 4 green balls and 3 red balls.
The probability of selecting a red ball from this box is 3/7. Since we are drawing without replacement, the probability of selecting another red ball is 2/6.Now, we calculate the overall probability by adding the probabilities of the two cases: (4/7) * (3/6) + (3/7) * (2/6) = 12/42 + 6/42 = 18/42 = 3/7.
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In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is blue or green? Write your result as a simple decimal rounded to the thousandths place.
The probability that a ball picked at random is blue or green is equal to 0.619 to the nearest thousandth.
What is probability?The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.
The total possible outcome = 8 + 7 + 6 = 21
probability of picking a blue ball = 7/21
probability of picking a green ball = 6/21
probability of picking a blue or green ball = 7/21 + 6/21
probability of picking a blue or green ball = (7 + 6)/21
probability of picking a blue or green ball = 13/21
probability of picking a blue or green ball = 0.6190
Therefore, the probability that a ball picked at random is blue or green is equal to 0.619 to the nearest thousandth.
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Two similar solids have edges of 4 feet in 24 feet if the smaller saw that has a volume of 16 ft.³ find the volume of the other solid?
Answer: 3,456
Step-by-step explanation:
Chloe had 74 pennies and then lost 10. Now she wants to buy a treat that costs 5 eighths of the pennies she has left. How many pennies does the treat cost?
The cost of the treat would be 40 pennies.
In mathematics, an expression is a combination of symbols (such as numbers, variables, and operations) that represents a value.
Expressions can be as simple as a single number or variable, or they can be more complex, involving multiple operations and variables. They can also include functions, exponents, and other mathematical concepts.
Chloe started with 74 pennies and lost 10, so she has 74 - 10 = 64 pennies left. The treat costs 5/8 of her remaining pennies,
Calculate the cost by multiplying 5/8 by 64:
(5/8) x 64 = 40
Therefore, the treat costs 40 pennies.
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A right rectangular prism is 6 cm by 14 cm by 5 cm. What is
the surface area of this prism?
6 cm
14 cm
5 cm
Answer:
2((6(14) + 6(5) + 14(5)) = 2(84 + 30 + 70) =
2(184) = 368 square centimeters
1) Which characteristics most likely provide an advantage for a career as an art teacher?
Question 1 options:
dislikes children, dislikes mess, intolerant of noise, and creates computer graphics
organized, neat, quiet, and likes to paint houses in spare time
enjoys children, is flexible, competent in a variety of art forms, and is energetic
enjoys art museums, reads often, hard worker, is a part-time photographer
Answer:
The choice that provides the greatest advantage for a career as an art teacher is:
enjoys children, is flexible, competent in a variety of art forms, and is energetic
Here are the key reasons why this is the best choice:
• Enjoys children - Working with students is core to being a teacher. An art teacher needs to enjoy interacting with and assisting children.
• Is flexible - The role of a teacher requires adapting to different students' needs, interests, abilities and challenges. Flexibility is important.
• Competent in a variety of art forms - An art teacher needs to be knowledgeable and skilled across different art mediums, subjects, techniques to support students.
• Is energetic - Teaching requires passion, enthusiasm and energy to keep students engaged and motivated.
In contrast, the other options lack important characteristics for an art teacher:
• Dislikes children, dislikes mess, intolerant of noise, and creates computer graphics - These indicate unsuitable qualities for a teacher.
• Organized, neat, quiet, and likes to paint houses in spare time - While organized and detail-oriented are good, the other traits do not reflect the key responsibilities of art instruction and supporting students.
• Enjoys art museums, reads often, hard worker, is a part-time photographer - An interest in art is relevant but not sufficient. Important teaching qualities like flexibility, working with children, knowledge of art forms are missing.
So in summary, the choice that highlights enjoying children, flexibility, competence across art forms, and energy are the characteristics that would provide the greatest advantage for a career as an art teacher. Art knowledge and skills are prerequisite but a passion for instructing students and learning is essential.
Step-by-step explanation:
What is a measure of the differences of all observations from the mean, expressed as a single number
The measure of the differences of all observations from the mean, expressed as a single number is called the "standard deviation". It is a commonly used measure of the amount of variability or dispersion within a set of data.
The standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences between each observation and the mean.
It is expressed in the same units as the data itself, and provides a way to understand how spread out the data is from the average or mean value.
A small standard deviation indicates that the data points tend to be close to the mean, while a large standard deviation indicates that the data points are more spread out.
The standard deviation can be used to compare the variability of different sets of data, and can also be used in statistical tests to determine if the difference between two sets of data is statistically significant.
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A-One Talent Agency has 109 clients. 46 of the clients play piano and 58 of the clients play guitar. 17 clients play both the piano and the guitar. How many of the clients do not play either instrument?
Number of clients who do not play either the piano or the guitar is 22
To find the number of clients who do not play either instrument, we need to subtract the number of clients who play either the piano or the guitar or both from the total number of clients.
Let A be the set of clients who play the piano, and B be the set of clients who play the guitar. Then, we can use the formula A union B
|A ∪ B| = |A| + |B| - |A ∩ B|
where |A ∪ B| is the number of clients who play either the piano or the guitar or both, |A| is the number of clients who play the piano, |B| is the number of clients who play the guitar, and |A ∩ B| is the number of clients who play both instruments
Substituting the given values, we get
|A ∪ B| = 46 + 58 - 17
|A ∪ B| = 87
Therefore, the number of clients who do not play either instrument is:
109 - 87 = 22
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The ages of a group of teachers are listed. 24, 32, 33, 35, 41, 42, 42, 43, 44, 51, 52, 53
If another teacher with an age of 45 is added to the data, how would the mean be impacted?
The value of the mean would remain the same at about 41. The value of the mean would remain the same at about 44. The mean would increase in value to about 45. 8. The mean would decrease in value to about 40
The mean would increase in value to about 45 when the teacher with the age of 45 is added to the data.
Option C is the correct answer.
We have,
Given ages: 24, 32, 33, 35, 41, 42, 42, 43, 44, 51, 52, 53
Mean without the additional teacher
= (24 + 32 + 33 + 35 + 41 + 42 + 42 + 43 + 44 + 51 + 52 + 53) / 12
= 37.5
New ages: 24, 32, 33, 35, 41, 42, 42, 43, 44, 51, 52, 53, 45
Mean with the additional teacher
= (24 + 32 + 33 + 35 + 41 + 42 + 42 + 43 + 44 + 45 + 51 + 52 + 53 + 45) / 13
= 582/13
= 44.77
= 45
Therefore,
The mean would increase in value to about 45 when the teacher with the age of 45 is added to the data.
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A tank on a road roller is filled with water to make the roller heavy tank is a cylinder that has a height of 6 feet and a radius of 2 feet what you were foot of water weighs 62.5 pounds fight the way of the water the tech tank
Answer: the tank filled with water weighs 4,710 pounds.
Step-by-step explanation: where:
π = 3.14 (surmised esteem of pi)
r = span = 2 feet
h = tallness = 6 feet
V = 3.14 x (2 feet)^2 x 6 feet
V = 75.36 cubic feet
Since one cubic foot of water weighs 62.5 pounds, the weight of the water within the tank can be calculated by increasing the volume of water by its weight:
Weight of water = volume of water x weight per cubic foot
Weight of water = 75.36 cubic feet x 62.5 pounds per cubic foot
Weight of water = 4,710 pounds
Can you pls help? This is geometry
The equation of the given circle is;Option D; x² + y² = 9
How to find the equation of the circle?The general formula for the equation of a circle is expressed as;
(x - h)² + (y - k)² = r²
Where;
(h, k) is the coordinate of the center of the circler is the radius of the circleWe are told that;
Circle is at the origin with coordinates (0, 0)
r = 3
Substitute the known values in the above equation, so, we have the following representation
(x - 0)² + (y - 0)² = 3²
Evaluate the exponents and open the brackets
x² + y² = 9
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The equation of the circle is; Option D: x² + y² = 9
What is the equation of the circle?The general formula for expressing the equation of a circle is :
(x - h)² + (y - k)² = r²
Where;
(h, k) is the coordinate of the center of the circle
r is the radius of the circle
From the given image of the circle, we see that the center of the circle is at the origin. Thus, the coordinates of the center of the circle is (0, 0)
We also see that from the origin to the circumference is 3. Thus:
r = 3
Plugging in the relevant values into the circle equation, we have:
(x - 0)² + (y - 0)² = 3²
Simplifying further gives us:
x² + y² = 9
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Applying Basic Probability Rules
The probability model shows the distribution of flavors of a chewable multivitamin.
Cherry
Strawberry
0.27
0.25
Flavor
Lemon
Orange
Probability
0.28
Suppose you select a multivitamin from the bottle without looking. Find each probability. Enter your answers as
decimals rounded to the hundredths place.
0.20
Answer:
0.75
Step-by-step explanation:
P (Cherry or Orange)
0.27 + 0.20 = 0.47
P (Not Strawberry)
0.27 + 0.28 + 0.20 = 0.75
What is the length of the diagonal from P to Q?
Answer:
The length of the diagonal from P to Q is
[tex] \sqrt{ {9}^{2} + {12}^{2} + {8}^{2} } = \sqrt{289} = 17[/tex]
Given f(x) =-3x^2 - 2r
Find f(8)
Answer: f(8) = -208
Step-by-step explanation:
To solve, we will substitute 8 into the equation for x.
Given:
f(x) = -3x² - 2x
Substitute 8 for x:
f(8) = -3(8)² - 2(8)
Square:
f(8) = -3(64) - 2(8)
Multiply:
f(8) = -192 - 16
Subtract:
f(8) = -208
Sid walked 4 miles in 2 1/4
hour.
hours. Find his walking rate in miles per hour
Answer: 1.7(repeating) OR 1.78
Step-by-step explanation:
Divide 4 by 2.25 (2 1/4)
Solving systems by eliminations; finding the coeficients
please write all the problems down on paper, 10 points for each problem, and Brainliest
On solving the provided question we can say that as a result, the system of equations' solution is: x = 12.62 and y = 4/13
What is equation?
A mathematical equation is a formula that links two statements and uses the equals sign (=) to indicate equality. In algebra, an equation is a statement that demonstrates the equality of two mathematical expressions.
We wish to eliminate one of the variables, either x or y, by adding or subtracting the two equations to solve this system of equations using the elimination technique. To do this, multiply one or both equations by a constant factor such that one of the variables has the same coefficient in both equations but with opposite signs.
By multiplying the first equation by 5 and adding it to the second, we can remove x. This results in:
5x - 10y = 60
5x + 3y = -44
-13y = -4
y = 4/13
We may now plug this y value into one of the original equations to find x. Let's look at the first equation:
x - 2y = 12
x - 2(4/13) = 12
13x - 8 = 156
13x = 164
x = 12.62
As a result, the system of equations' solution is:
x = 12.62 and y = 4/13
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The hypotenuse of a right triangle measures 16 cm and one of its legs measures 9 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Anna obtained 22 out of 30 for an Afrikaans test and 18 out of 25 for a mathematical literacy test , are these results proportionate? If not , in which subject did she score the highest
according to the given question Anna scored highest in the Afrikaans test.
what is proportionality?When a relationship consistently has the same ratio, it is considered to be proportionate. For instance, the average amount of apples grown on each tree determines the number the trees within a fruit orchard plus the quantity of apples harvested. In mathematics, a linear relationship between two numbers or variables is referred by the term being proportionate. The other amount doubles when the initial amount does. The other variables also decline when one variable is brought down to 1/100th of its prior value.
given,
To determine whether Anna's results are proportionate, we need to compare the percentage scores she received in each test.
For the Afrikaans test, Anna's percentage score is (22/30) x 100% = 73.33%
For the mathematical literacy test, Anna's percentage score is (18/25) x 100% = 72%
Since Anna's percentage score for the Afrikaans test is higher than her percentage score for the mathematical literacy test, her results are not proportionate. Therefore, Anna scored highest in the Afrikaans test.
Note that if we were to compare the raw scores (22 vs. 18), it would seem like Anna performed better in the Afrikaans test. However, since the two tests have different total marks (30 for Afrikaans and 25 for mathematical literacy), comparing the raw scores directly does not give a fair comparison. Instead, we need to compare the percentage scores, which take into account the total marks of each test.
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the mean age at first marriage for respondents in a survey is 23.33, with a standard deviation of 6.13. calculate the z score associated with an observed age at first marriage of 25.50.
The z-score associated with an observed age at first marriage of 25.50 is 0.35.
To calculate the z-score associated with an observed age at first marriage of 25.50, we use the formula:
z = (x - μ) / σ
where:
x = the observed age at first marriage (25.50)
μ = the mean age at first marriage (23.33)
σ = the standard deviation of age at first marriage (6.13)
Substituting the given values, we get:
z = (25.50 - 23.33) / 6.13
z = 0.35
Therefore, the z-score associated with an observed age at first marriage of 25.50 is 0.35.
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PLEASE HELP
Consider this system of equations.
system
(PICTURE 1)
The system can be represented by the following matrix equation where A is a 3×3 matrix and b is a 3D vector
(PICTURE 2)
The matrix of dependent coefficients and the vector column of independent variables of the system of linear equations are:
[tex]\vec A = \left[\begin{array}{ccc}1&-2&3\\-4&5&-6\\7&-8&9\end{array}\right][/tex]
[tex]\vec {b} =\left[\begin{array}{ccc}6\\8\\1\end{array}\right][/tex]
How to represent a system of linear equation by matrices
In this question we find a representation of a system of three linear equations with three variables {x, y, z}. This system can be described by following expression according to linear algebra:
[tex]\vec A \,\bullet \,\vec x = \vec B[/tex]
Where:
[tex]\vec {A}[/tex] - Matrix of dependent coefficients. [tex]\vec x[/tex] - Vector column of variables. [tex]\vec B[/tex] - Vector column of independent variables.Please notice that operator "•" represents a dot product.
Then, the matrix of dependent coefficients and the vector column of independent variables are, respectively:
Matrix of dependent coefficients
[tex]\vec A = \left[\begin{array}{ccc}1&-2&3\\-4&5&-6\\7&-8&9\end{array}\right][/tex]
Vector column of independent variables
[tex]\vec {b} =\left[\begin{array}{ccc}6\\8\\1\end{array}\right][/tex]
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Activity#2<br />Directions: Solve the following problems. Show your complete solutions. <br /><br />1. The diagonals of a Kite have lengths of 12 and 15 cm. Find the area of a Kite. <br />2. Given parallelogram ABCD, angle A and angle B measures (x+30) and (3x-90) respectively. Determine the measure of each angle. <br />3. One lateral face of the roof of the school building is trapezoid in shape. <br />One of the bases of this trapezoid is 6 m longer than the other base. Find<br />the length of the two bases if the median measures 19 m. <br />4. Given Isosceles Trapezoid CLUB, if m<C = 4x+3 and m<L = 5x-15, then find the value of x. <br />5. SPIN is a trapezoid with median AB. If the length of AB is 18cm and SP is 6, then find the length of NI. <br />
The length of NI is 8.5 cm.
Find the area of a kite by using formula?The area of a kite can be found using the formula: Area = (d1 * d2)/2, where d1 and d2 are the lengths of the diagonals.
Substituting the given values, we get:
Area = (12 * 15)/2
Area = 90 square cm
Therefore, the area of the kite is 90 square cm.
In a parallelogram, opposite angles are equal. So, we have:
Angle A = Angle C (opposite angles)
Angle B = Angle D (opposite angles)
Also, sum of adjacent angles in a parallelogram is 180 degrees. So, we have:
Angle A + Angle B = 180 degrees
(x+30) + (3x-90) = 180
4x - 60 = 180
4x = 240
x = 60
Therefore, Angle A = x + 30 = 90 degrees, and Angle B = 3x - 90 = 90 degrees.
Let the shorter base of the trapezoid be x. Then, the longer base is x+6 (as given in the problem).
The median of a trapezoid is the average of the two bases. So, we have:
Median = (x + x + 6)/2 = 19
2x + 6 = 38
2x = 32
x = 16
Therefore, the shorter base of the trapezoid is 16 m and the longer base is 22 m.
In an isosceles trapezoid, opposite angles are supplementary. So, we have:
Angle C + Angle L = 180 degrees
4x + 3 + 5x - 15 = 180
9x - 12 = 180
9x = 192
x = 21.33
Therefore, the value of x is 21.33.
In a trapezoid, the median is the average of the two bases. So, we have:
AB = 18 (given)
Median = (SP + NI)/2
But SP = NI (opposite sides of a trapezoid are equal)
So, Median = 2SP/2 = SP
Therefore, SP = Median = 19/2 = 9.5 cm
Also, AB = SP + NI
18 = 9.5 + NI
NI = 8.5 cm
Hence concluded that the length of NI is 8.5 cm.
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Rewrite the expression as a product of four linear factors:
(12x² – 19x)² – 13(12x² – 19x) – 90
Answer:
(4x - 9)(3x + 2)(4x - 5)(3x - 1).
Step-by-step explanation:
Let's substitute y = (12x² - 19x):
So we have y² - 13y - 90, which can be factored as:
y² - 13y - 90 = (y - 18)(y + 5)
Substituting y back:
(12x² - 19x)² - 13(12x² - 19x) - 90 = [(12x² - 19x) - 18][(12x² - 19x) + 5]
= (12x² - 19x - 18)(12x² - 19x + 5)
= (4x - 9)(3x + 2)(4x - 5)(3x - 1)
Help needed fast please!! The table below shows Addison's novel collection on her bookshelf.
Type novel:Nonfiction: 2, mystery:4, fiction:5
What is the ratio of Nonfiction novels to all novels. 2 to 9?
2 : 11?
5 / 11?
Or 1 to 2?
the ratio of Nonfiction novels to all novels is: Nonfiction novels : Total novels [tex]= 2 : 11[/tex] So the correct answer is [tex]2:11.[/tex]
What is the ratio?The ratio of Nonfiction novels to all novels can be calculated by dividing the number of Nonfiction novels by the total number of novels.
The total number of novels is the sum of Nonfiction, mystery, and fiction novels:
Total number of novels = Nonfiction + Mystery + Fiction [tex]= 2 + 4 + 5 = 11[/tex]
The ratio of nonfiction novels to all novels is not a fixed value, as it depends on the specific set of novels being considered. However, it can be calculated if we have the appropriate data.
Therefore, the ratio of Nonfiction novels to all novels is: Nonfiction novels : Total novels [tex]= 2 : 11[/tex] So the correct answer is 2:11.
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In a bubble sort, on each pass through the list that must be sorted, you can stop making pair comparisons _____. A. one comparison later B. one comparison sooner C. two comparison sooner D. two comparison later
Answer:
In a bubble sort, on each pass through the list that must be sorted, the largest value "bubbles" to the end of the list. Therefore, after each pass, the end of the list is guaranteed to be sorted. This means that we can stop making pair comparisons one comparison sooner, which is option B.
Step-by-step explanation:
Bubble sort works by repeatedly comparing and swapping adjacent elements in the list if they are in the wrong order. During each pass through the list, the largest unsorted element "bubbles up" to its correct position. As a result, after the first pass, the largest element is in its correct position, after the second pass, the two largest elements are in their correct positions, and so on.
Therefore, with each subsequent pass, you can stop making pair comparisons one comparison sooner because the elements at the end of the list are already sorted.
To learn more about bubble sort : brainly.com/question/13161938
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