The wholesale price of a lamp is $44 and will be marked up by 40 percent. What is the retail price of the lamp?
$40.00
$48.00
$61.60
$84.40
Answer:
i think $61.60
Step-by-step explanation:
Answer:
It is 61.60
Step-by-step explanation:
Name this polynomial based on it degree and number of terms: x³ + 2x – 1
1) quadratic binomial
2) quadratic trinomial
3) cubic trinomial
4) cubic binomial
Parallel lines s and t are cut by a transversal, r.
(image)
A) If the measure of angle 7 is 52°, what is the measure of angle 1? ____________
B) If the measure of angle 8 is 112°, what is the measure of angle 3? ___________
help!
Answer:
a the answer for angle 1 is also 52
b the answer for angle 3 is 180- 112= 68
Parallelogram ABCD is rotated to create image A'B'C'D'.
The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:
Point A (2, 5) becomes A' (-5, 2).
Point B (5, 4) becomes B' (-4, 5).
Point C (5, 2) becomes C' (-2, 5).
Point D (2, 3) becomes D' (-3, 2).
By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.
This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.
Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.
Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
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Suppose there are 360 students in the seventh grade at a
middle school. The table shows the favorite outdoor activities
for a random group of seventh-graders from the school.
Answer:
120
Step-by-step explanation:
what is the common ratio of 17, 51, 153, 459,.....
Answer:
3
Step-by-step explanation:
17 * 3 = 51
51 * 3 = 153
153 * 3 = 459
etc.
Scratchpad
The value of b when solving the equation 2 (b+12)=16
Answer:
b = -4
Step-by-step explanation:
Divide by 2:
b + 12 = 8
b = -4
Answer:
B = -4
Step-by-step explanation:
Take,
-4 + 12 = 8
Then,
8 x 2 = 16.
27. What can you say about two nonzero vectors, u and v, that satisfy the equation ||u + v|| = || | || + || \ ||?
We are given that ||u + v|| = ||u|| + ||v||, where ||u|| and ||v|| denote the magnitudes of the vectors u and v, respectively. This equation is known as the triangle inequality.
From the triangle inequality, we know that the magnitude of the sum of two vectors cannot be less than the sum of the magnitudes of the vectors. This is because in any triangle, the sum of the lengths of any two sides is always greater than or equal to the length of the third side.
Therefore, if ||u + v|| = ||u|| + ||v||, then the vectors u and v must lie on the same line and point in the same direction. This is because if the vectors were not collinear, then ||u + v|| would be greater than ||u|| + ||v||, due to the triangular shape formed by the vectors.
In other words, the vectors u and v must be scalar multiples of each other, or u = kv for some nonzero scalar k. This is because in this case, the magnitude of u + v is equal to the magnitude of (k+1)v, which is equal to (k+1)||v||. Therefore, the condition ||u + v|| = ||u|| + ||v|| is satisfied if and only if u and v are scalar multiples of each other.
So, if ||u + v|| = ||u|| + ||v||, then we can conclude that u and v are collinear and point in the same direction, or u = kv for some nonzero scalar k.
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8+3=8(y+1) worked out
8+3=11
11=8(y+1)
11-8=3
3=y+1
3-1=2
2=y
Step-by-step explanation:
In a recent international sports competition the top three countries- country a country b and country c won a total of 123 medals. country b won 8 more medals than country c. country a won 39 more medals than the total won by country b and c. how many medals did each country win?
country A won medal = 87
country B won medal = 18
country C won medal = 26
What is System of equation?A system of equations, or equation system, is a collection of finite equations for which common solutions are sought. A set of simultaneous equations may also be referred to as an equation system.
According to the given information:While using the System of equation:
we can say that:
country A won medal = X
country B won medal = Y
country C won medal = Z
Total number of medals have = 123
so we can say that
X + Y + Z = 123
Country B won 8 more medals than Country C.
So Y = Z + 8
Country A won 34 more medals than the total amount won by the other two.
X - (Y + Z) = 34
From the equation
(Y + Z) = 123 - X
Putting the value (Y + Z)
X - (123 - X) = 34
2X - 123 = 34
2X = 157
X = 157/2
X = 78.5
Finding the value of Z.
when X = 78.5, Y = Z + 8
X + Y + Z = 123
78.5 + (Z + 8) = 123
86.5 + 2Z = 123
Z = 36.5/2
Z = 18
Finding the value of Y
Y = Z + 8
= 18 + 8
= 26
So,
country A won medal = 87
country B won medal = 18
country C won medal = 26
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Is rectangle efgh the result of a dilation of rectangle abcd with a center of dilation at the origin? why or why not? yes, because corresponding sides are parallel and have lengths in the ratio four-thirds yes, because both figures are rectangles and all rectangles are similar. no, because the center of dilation is not at (0, 0). no, because corresponding sides have different slopes.
The rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar. Then the correct option is B.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
The rectangle EFGH is dilated of the rectangle ABCD with a center of the dilation at the origin.
From the figure, it is clear that the rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar.
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Multi-step equations
20) -5(1 - 5x) + 5(-8x - 2) = -4x - 8x
Write 4 (sqrt) of 7 as a rational exponent
4 (sqrt) of 7 as a rational exponent is \(7^1^/^4\) which is in option b as rational exponents are especially used for represent power and root which cannot be expresed through whole numbers.
The general rational exponent form is explained below:
\(a^(^m^/^n^)\)
here 'a' = base, 'm' =numerator , and 'n' = denominator
For example, \(7^1^/^4\) where the base is 7, numerator is 1 amd denominator is 4. This is the way to write the simple way. It is highly used in the mathematical formulas. There are many other forms of this explanation as well
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what is the midpoint of the line segment that joins -3/4 and 2 1/2
The mid point between the two points is at 13/8 .
What is a Line Segment ?A line segment is a line of fixed measure .
The line segment extends from (-3/4) to \(\rm 2 \dfrac{1}{2}\)
i.e the line extends form -3/4 to 5/2
To find the mid point , the total distance needs to be determined
So the distance between the two point is
(5/2) + (3/4) = 13/8
The mid point is at half the distance of this
so it is at 13/8 from both the points
Any point at 13/8 distance from 5/2 towards (-3/4) will be
= (5/2) - (13/8)
= 7/8
So the mid point between the two points is at 13/8 .
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GRAPHING Write Down Possible Expressions For The Graphs Below: 1 -7-6-5--5-21 1 2 3 4 5 6 7 (A) 1 2 3 4 5 6 7
Possible expressions for the given graph are y = 1 and y = 2.
Since the graph consists of a horizontal line passing through the points (1, 1) and (7, 1), we can express it as y = 1.
Additionally, since there is a second horizontal line passing through the points (1, 2) and (7, 2), we can also express it as y = 2. These equations represent two possible expressions for the given graph.
The given graph is represented as a sequence of numbers, and you are looking for possible expressions that can produce the given pattern. However, the given graph is not clear and lacks specific information. To provide a meaningful explanation, please clarify the desired relationship or pattern between the numbers in the graph and provide more details.
The provided graph consists of a sequence of numbers without any apparent relationship or pattern. Without additional information or clarification, it is challenging to determine the possible expressions that can produce the given graph.
To provide a precise explanation and suggest possible expressions for the graph, please specify the desired relationship or pattern between the numbers. Are you looking for a linear function, a polynomial equation, or any other specific mathematical expression? Additionally, please provide more details or constraints if applicable, such as the range of values or any other conditions that should be satisfied by the expressions.
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What is the difference between compression and tension forces?
Answer: Tension and compression refer to forces that attempt to deform an object. The main difference between tension and compression is that tension refers to forces that attempt to elongate a body, whereas compression refers to forces that attempt to shorten the body.
Step-by-step explanation: thank me later
Numbers of the jerseys of 5 randamty selected Carolina Panthers Quantitative discrete Quantitative continuous. Gualitative
The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.
Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.
Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.
Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".
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Convert 107.55% to a decimal. Round to the
nearest hundredth.
Answer:
1.0755 = 1.08
Step-by-step explanation:
Answer:
100.00
Step-by-step explanation:
107.55 rounded to the nearest hundredth is 100.00
25 points.... please help
Answer:
Slope is 1000/4 y-int is the starting salary
Step-by-step explanation:
The figure shows a quadrilateral. The length of each side is five as shown. Find the perimeter of the quadrilateral in terms of x.
Answer:
3z+20
Step-by-step explanation:
Not 100% sure on this but thought I might be able to help. To find the perimeter, you simply have to add together each side.
if x = -2, what does -x mean
Answer:
-x = 2Step-by-step explanation:
If,
x = -2
Then,
-x = -(-2)
=> -x = 2 (Ans)
Let A be a matrix 3x2 and ba vector 3x1, solve the system of linear equation by one of the 3 methods you have learned in class by checking first the rank of matrix A and the rank of [A b] 2x +3y = 1 eq (1) -x + 4y = 6 eq (2) eq (3) 5x - 6y = -3
the values of x and y that satisfy the system of equations are x = -14/11 and y = 13/11.
To solve the system of linear equations using one of the three methods (elimination, substitution, or matrix inversion), let's first check the rank of matrix A and [A b].
The matrix A is a 3x2 matrix:
A = [2 3]
[-1 4]
[5 -6]
To find the rank of A, we can perform row operations to reduce the matrix to row-echelon form. The rank of A is equal to the number of non-zero rows in its row-echelon form.
Performing row operations on A, we have:
Row 2 = Row 2 + 0.5 * Row 1
Row 3 = Row 3 - 2.5 * Row 1
The row-echelon form of A is:
A = [2 3]
[0 5]
[0 -21]
Since A has two non-zero rows, the rank of A is 2.
Next, we check the rank of [A b]. The vector b is a 3x1 vector:
b = [1]
[6]
[-3]
We can append vector b as an additional column to matrix A:
[A b] = [2 3 1]
[-1 4 6]
[5 -6 -3]
Performing row operations on [A b], we have:
Row 2 = Row 2 + Row 1
Row 3 = Row 3 - 2 * Row 1
The row-echelon form of [A b] is:
[A b] = [2 3 1]
[0 7 7]
[0 -12 -5]
Since [A b] has two non-zero rows, the rank of [A b] is also 2.
Since the rank of A and [A b] are both 2, we can proceed with solving the system of linear equations using any of the three methods.
Let's use the method of matrix inversion to solve the system.
The system of equations can be written as a matrix equation:
Ax = b
To find x, we can multiply both sides of the equation by the inverse of A:
\(A^(-1) * A * x = A^(-1) * b\)
\(I * x = A^(-1) * b\)
\(x = A^(-1) * b\)
To find the inverse of A, we can use the formula:
\(A^(-1) = (1 / (ad - bc)) * [d -b][-c a]\)
Plugging in the values of matrix A, we have:
\(A^(-1) = (1 / (2 * 4 - 3 * -1)) * [4 -3][1 2]\)
Calculating the inverse of A, we have:
A^(-1) = (1 / 11) * [4 -3]
[1 2]
Multiplying A^(-1) by vector b, we have:
\(x = (1 / 11) * [4 -3] * [1][6][-3]\)
Calculating the product, we get:
x = (1 / 11) * [4 * 1 + -3 * 6]
[1 * 1 + 2 * 6]
Simplifying, we have:
x = (1 / 11) * [-14]
[13]
Therefore, the solution to the system of linear equations is:
x = -14/11
y = 13/11
Hence, the values of x and y that satisfy the system of equations are x = -14/11 and y = 13/11.
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Suppose 1757 grams of sugar is 31.69% of 5544 grams of jam. How much jam would there be if there were 2500 grams of sugar?
7889 grams of jam
Step-by-step explanation:
In 5544 grams of jam, 1757 grams of sugar ==> 31.69%
let x be the grams of jam
2500 grams of sugar ==> 31.69%
x grams of jam ==> 100%
\(x \times 31.69\% = 2500 \\ x = 2500 \div 31.69\% \\ x = 7888.92 \: grams \\ x = 7889 \: grams \: (nearest \: whole \: number)\)
647,224 likes/8 hours to calculate a unit rate for likes per minute, what new ratio would you create?
Don’t mind the last question I asked I messed up on the wording, it’s the same as this one but with messed up words.
Answer:
the new ratio is 1348 likes per min.
Step-by-step explanation:
given:
647,224 likes/8 hours
find:
calculate a unit rate for likes per minute
= 647,224 likes x 1 hour
8 hours 60 min
= 1348.33
therefore,
the new ratio is 1348 likes per min.
I will mark you brainliest!!!! Which equation represents a line that passed through the two points in the table?
Answer:
B
Step-by-step explanation:
First calculate the slope. \(\frac{y2-y1}{x2-x1}\). In this case, the slope is \(\frac{4}{5}\).
If you look at all of the answer choices, they are in slope - intercept form. This makes it easier! All you have to do is find an equation with the slope 4/5 that uses the point (4,1) or (9,5).
The standard slope intercept form for a point (a,b) is
y-b = m(x-a).
Remember that two negatives equal a positive.
Substitute in the slope for m and (4,1) or (9,5) for the point (a,b).
Mrs. Publinsky and her husband, Xander, are planning their dream house. The lot for the house sits high on a hill with a beautiful view of the White Mountains. The plans show the size of the house to be 2,100 square feet. The average price for a lot and house similar to this one has been $139 per square foot. Fortunately, Xander is a retired plumber and feels he can save money by installing the plumbing himself. Mrs. Publinsky feels she can take care of the interior decorating. The following average cost information is available from a local bank that makes loans to local contractors and dispenses progress payments to contractors when specific tasks are verified as complete.
25% Excavation and framing complete
8% Roof and fireplace complete
3% Wiring roughed in
6% Plumbing roughed in
5% Siding on
17% Windows, insulation, walks, plaster, and garage complete
9% Furnace installed
4% Plumbing fixtures installed
5% Exterior painting complete
4% Light fixtures installed, finish hardware installed
6% Carpet and trim installed
4% Interior decorating
4% Floors laid and finished
Required:
a. Calculate the estimated cost for the Publinskys’s house if they use their talents to do some of the work themselves (all plumbing, painting and interior decoration).
a. Calculate the estimated cost for the Publinskys' house if they use contractors to complete all of the house.
(a) The estimated cost for the Publinskys’s house if they use their talents to do some of the work themselves (all plumbing, painting and interior decoration) is $139 x 2,100 x 0.87.
To calculate the estimated cost for the Publinskys' house if they do some of the work themselves, we need to determine the costs for the tasks they will be handling and add them to the remaining tasks that will be completed by contractors.
The tasks the Publinskys will handle themselves are plumbing, painting, and interior decoration, which account for a total of 4% + 5% + 4% = 13% of the total cost.
Therefore, the estimated cost for the Publinskys' house if they do some of the work themselves is:
Estimated cost = $139/sq.ft. x 2,100 sq.ft. x (100% - 13%)
Calculating the expression:
Estimated cost = $139/sq.ft. x 2,100 sq.ft. x 87%
Estimated cost = $139 x 2,100 x 0.87
(b) The estimated cost for the Publinskys' house if they use contractors to complete all of the work is the same as the total cost of the house.
To calculate the estimated cost for the Publinskys' house if they use contractors to complete all of the work, we need to consider the costs for all the tasks listed in the bank's average cost information.
The estimated cost for the Publinskys' house using contractors is:
Estimated cost = $139/sq.ft. x 2,100 sq.ft. x 100%
Calculating the expression:
Estimated cost = $139 x 2,100 x 1
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Help please I don’t get it
Answer:
I'm not sure if I'm correct but I think it's F=5
Step-by-step explanation:
6 times 5 = 30
what is the slope for (-19, -6), (15, 16)
Answer: The slope is 11/17
Step-by-step explanation:
To find the slope, find the difference in the y coordinates and divide it by the difference in the x coordinates .
y coordinates: 16 - (-6) = 22
x coordinates ; 15 - (-19) = 34
22/ 34 = 11/17
Please help I’m really stressed
assume: arithmetic mean r111,10. mode r105,28. median r107,91. standard deviation r 18,36. quartiles r 98,54 and r122,64.
calculate:
1.1. pearson's coefficient of skewness.
1.2. quartile deviation.
1.3. quartile co-efficient of skewness.
1.4. what is the main advantage of the semi-interquartile range?
1.5. give three reasons why the standard deviation is generally regarded as a better measure of dispersion than the range.
1.6. how can the disadvantages of the range be largely overcome?
1.1. The Pearson's coefficient of skewness is approximately 1.643.
1.2. The quartile deviation is approximately 12.05.
1.3. The quartile coefficient of skewness is approximately 0.251.
1.4. This is because the semi-interquartile range uses only the middle 50% of the data, which is more resistant to extreme values.
1.5. The standard deviation can be used to make comparisons between datasets that have different means and ranges, whereas the range cannot.
1.6. One can also use Box plots instead of range to visualize the distribution of the data, which provides more information about the shape of the distribution than the range alone.
1.1. Pearson's coefficient of skewness is given by:
Skewness = 3 * (Mean - Median) / Standard Deviation
Substituting the values given, we get:
Skewness = 3 * (111 - 107.91) / 18.36
Skewness = 1.643
Therefore, the Pearson's coefficient of skewness is approximately 1.643.
1.2. Quartile deviation is given by:
Quartile deviation = (Q3 - Q1) / 2
Substituting the values given, we get:
Quartile deviation = (122.64 - 98.54) / 2
Quartile deviation = 12.05
Therefore, the quartile deviation is approximately 12.05.
1.3. Quartile coefficient of skewness is given by:
Quartile coefficient of skewness = (Q3 + Q1 - 2 * Median) / (Q3 - Q1)
Substituting the values given, we get:
Quartile coefficient of skewness = (122.64 + 98.54 - 2 * 107.91) / (122.64 - 98.54)
Quartile coefficient of skewness = 0.251
Therefore, the quartile coefficient of skewness is approximately 0.251.
1.4. The main advantage of the semi-interquartile range is that it is less affected by outliers than other measures of dispersion such as range and standard deviation. This is because the semi-interquartile range uses only the middle 50% of the data, which is more resistant to extreme values.
1.5. The standard deviation is generally regarded as a better measure of dispersion than the range for the following reasons:
Unlike the range, the standard deviation takes into account all the data points in the sample, not just the extreme values.
The standard deviation is a more precise measure of dispersion than the range because it considers the variation of each data point from the mean, whereas the range only considers the difference between the highest and lowest values.
The standard deviation can be used to make comparisons between datasets that have different means and ranges, whereas the range cannot.
1.6. The disadvantages of the range can be largely overcome by using other measures of dispersion such as the standard deviation or the semi-interquartile range. These measures are less affected by outliers and provide a more accurate representation of the spread of the data. Additionally, one can also use Box plots instead of range to visualize the distribution of the data, which provides more information about the shape of the distribution than the range alone.
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