Answer:
Step-by-step explanation:
E for Envelopes
N for Notebook Paper
3E + 4N = $13.25
2E + 6N = $17
N = $2.45
E = $1.15
Can you answer this please (without a calculator)
Answer:
a. 3.11
b. 7.5 or 7 1/2
c. 6 13/28
d. 133.17
Step-by-step explanation:
Mental math.Answer:
A) 3.11
B) 7 1/2
C) 6 13/28
D)133.17
Step-by-step explanation:
Hope it helps!
Greta has budgeted $1,500 to have a concrete patio poured in her backyard like the one shown. The cost per square foot of the concrete is $5.50. Find the cost of the patio to determine if Greta has budgeted enough money to complete the project.
Answer:
Yes the amount Greta has budgeted ($1,500) is enough to complete the project which will cost $1,443.75
Step-by-step explanation:
The amount Greta has budgeted to have a concrete patio = $1,500
The cost (per square foot) of the concrete, C/Ft² = $5.50/ft²
From the dimension of the backyard, we have;
The total area, A = The area of a rectangle + The area of a trapezium
The area of the rectangle = 6 ft. × 28 ft. = 168 ft.²
The area of the trapezium = (8 ft. + (28 ft. - 15 ft.))/2 × (15 ft. - 6 ft.) = ((8 ft. + 13 ft.)/2) × 9 ft. = 94.5 ft.²
The total area, A = 168 ft.² + 94.5 ft.² = 262.5 ft.²
The total cost of the concrete, C = A × C/Ft²
∴ C = 262.5 ft.² × $5.50/ft² = $1,443.75
Therefore, given that Greta budgeted $1,500 for the project which is more than the $1,443.75 required, Greta has budgeted enough money to complete the project
Recall the zone out duration (ZOD) data we looked at in one of the regression lectures from Lesson 3. An additional experiment was conducted to look at the impact of sugary desserts eaten at lunch, two hours before class, and ZOD. Twelve students volunteered to participate in the experiment. Students were randomly assigned to eat a large slice of apple or cherry pie, with six participants randomized in each group. Two hours later, their ZODs (in minutes) were recorded during a 50-minute lecture. The data are in the file ZODTwoGroups.csv. a) Make a comparative boxplot for ZOD by pie type. Describe what you can get from the boxplots regarding the two distributions. Does there appear to be a difference between the ZODs for the two groups? b) Use set.seed(12) and then create 1000 permutations for the difference of mean ZOD for cherry pie minus the mean ZOD for apple pie. What is the observed difference in means for the sample data? c) Write out the statistical hypotheses, using symbols, for testing that mean ZOD for cherry pie is greater than the mean ZOD for apple pie. d) Make a histogram of the null distribution and add a vertical line for the observed sample difference. Set the number of bins to 13. Describe the shape of the null distribution and how the observed sample difference generally compares with the overall distribution. e) Calculate the p-value for this permutation test. If you set up your code correctly, you should get a p-value of 0.002. What is the meaning of this p-value as a probability? f) What do you conclude for this hypothesis test in the context of the problem?
a) To create a comparative boxplot for ZOD (Zone Out Duration) by pie type, we would separate the ZOD data into two groups: apple pie and cherry pie.
The boxplots will provide a visual comparison of the distributions for the two groups. By examining the boxplots, we can determine if there appears to be a difference between the ZODs for the two groups. b) Using the set.seed(12) command to ensure reproducibility, we can create 1000 permutations of the difference in mean ZOD for cherry pie minus the mean ZOD for apple pie. The observed difference in means for the sample data would be the actual difference between the mean ZODs of the cherry pie and apple pie groups.
c) The statistical hypotheses for testing that the mean ZOD for cherry pie is greater than the mean ZOD for apple pie can be expressed as: Null hypothesis (H0): The mean ZOD for cherry pie is less than or equal to the mean ZOD for apple pie. (μcherry ≤ μapple). Alternative hypothesis (HA): The mean ZOD for cherry pie is greater than the mean ZOD for apple pie. (μcherry > μapple). d) To visualize the null distribution, we would make a histogram using the 1000 permutations. The number of bins would be set to 13. The null distribution represents the distribution of the differences in means under the assumption that there is no difference between cherry pie and apple pie ZODs. We would add a vertical line to indicate the observed sample difference in means.
e) By conducting the permutation test and setting up the code correctly, we can calculate the p-value. If the code is correct, the p-value obtained should be 0.002. This p-value represents the probability of observing a difference in means as extreme as the one observed in the sample data, assuming that there is no actual difference between cherry pie and apple pie ZODs. f) Based on the hypothesis test and the obtained p-value of 0.002, we can conclude that there is strong evidence to reject the null hypothesis. The results suggest that the mean ZOD for cherry pie is significantly greater than the mean ZOD for apple pie. In the context of the problem, it indicates that consuming cherry pie at lunch, two hours before class, leads to a higher Zone Out Duration during the lecture compared to consuming apple pie.
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the city council in a suburb of raleigh is interested in the level of public support for a tax increase to support restoration of nearby parks and waterways. a marketing research firm is hired that then selects a simple random sample of 50 adult residents and contacts each to determine whether the resident would be opposed to the tax increase. of these respondents, 15 indicate that they would be opposed to the tax increase what is the chance that all 50 residents in a particular neighborhood end upbeing the sample of residents selected?
Sample: selected 50 adult residents by marketing research firm
In statistics a data sample is a set of data collected and the world selected from a statistical population by a defined procedure and refers to a set of observations drawn from a population. The elements of a sample are known as sample points or sampling units or observations. Often, it is necessary to use samples for research, because it is impractical to study the whole population.
To calculate the probability that all 50 residents in a particular neighborhood end up being the sample of residents selected, we need to consider the total population size and the number of residents in that neighborhood.
Let's assume there are N total adult residents in the suburb, and n residents in the particular neighborhood of interest. The probability of selecting all 50 residents from that neighborhood can be calculated using the hypergeometric distribution.
The probability can be calculated as follows:
P(all 50 residents from the neighborhood) = (nC50) / (NC50)
Where nC50 represents the number of ways to choose 50 residents from the neighborhood, and NC50 represents the number of ways to choose 50 residents from the entire population.
Here population: resident of the city council in a suburb of Raleigh
Therefore, sample: selected 50 adult residents by marketing research firm.
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Margot purchased 13.5 cups of almond flour to make gluten-free muffins. each batch of muffins requires 3 1/2 cups of flour plus another 1/5 cup to coat the pan. how many batches of muffins can margot make?
Answer:
I don't know
Step-by-step explanation:
I don't know
The variables that a company puts together in an attempt to satisfy a particular set of customers that it wants to appeal to is called a
The variables that a company puts together in an attempt to satisfy a particular set of customers that it wants to appeal to is called a Marketing Mix. Marketing Mix is a marketing term that refers to a combination of elements that are utilized to promote a product or brand.
The four elements of the marketing mix are as follows:
Product: This refers to the item that is being sold. It must meet the needs of the intended audience and offer advantages over competing products.
Price: This refers to the amount that a customer will pay for the item. The price must be appropriate for the product being sold, and it must also be competitive with other items that are similar.
Promotion: This refers to the way in which the product is marketed. This can include advertising, direct mail, public relations, and other methods.
Place: This refers to the location where the product is sold. It can be in a retail store, online, or at another location.
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you may not use the break and continue statements within the same set of nested loops. t/f
The given statement is false because In programming, the break and continue statements serve different purposes and can be used independently or together within nested loops.
The break statement is used to exit the current loop prematurely. When encountered, it terminates the loop and continues with the next statement after the loop. This can be useful when a specific condition is met, and you want to stop the execution of the loop immediately.
The continue statement, on the other hand, is used to skip the current iteration of a loop and move on to the next iteration. It allows you to skip certain iterations based on a specific condition without terminating the entire loop.
Both break and continue statements can be used within nested loops. In such cases, the break statement will exit only the innermost loop it is placed in, while the continue statement will skip to the next iteration of the innermost loop.
By using break and continue strategically within nested loops, you can control the flow of execution based on specific conditions. This flexibility allows you to fine-tune the behavior of your program and optimize its efficiency.
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Note : This is a computer science question
the qestion is the picture
Answer:
-2/9
Step-by-step explanation:
Answer:
the answer is C. - 2/9!!!!!!
Step-by-step explanation:
In a division equation, quotient is the answer derived after dividing the dividend by the divisor. To continue with our sample word problem, all we need to do to find the quotient of the division word problem, is to divide the dividend by the divisor sooo we just Divide: -2 / 9 = -0.222222222222 = -2/9! the answer is going to be C.!
hope this helped!
For which problem situation could the equation 45x + 55x = 350 be used?
Two vehicles start from the same point traveling in the same direction. One vehicle travels 55 miles per hour (mph) and the other 45 mph. When will the two vehicles be 350 miles apart?
A car, traveling 45 mph, leaves Dallas heading for Odessa 350 miles away. At the same time, a truck leaves Odessa for Dallas traveling 55 mph on the same road. When will the two vehicles meet?
A 350 mile telephone cable is cut so the shorter piece 45/55 is of the whole cable. How long is each piece?
A 350 mile telephone cable costs $55 per mile for one section and $45 per mile for a different section. What is the total cost of the cable?
Answer:
Step-by-step explanation:
The equation 45x + 55x = 350 could be used to solve the following problem:
Two vehicles start from the same point traveling in the same direction. One vehicle travels 55 miles per hour (mph) and the other 45 mph. When will the two vehicles be 350 miles apart?
Rewrite e -7.5 =h as an equivalent logarithmic equation. Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c * log (h).
The equivalent logarithmic equation for e^-7.5 = h is ln(h) = -7.5.
The logarithmic function is the inverse of the exponential function. So, to rewrite the equation e^(-7.5) = h as a logarithmic equation, we need to determine the base of the exponential function.
In this case, since there is no specified base, we can assume that the base is e. Then, we can write the equation as:
log_e(h) = -7.5
This equation states that the logarithm of h with base e is equal to -7.5. Alternatively, we could also write this as:
ln(h) = -7.5
since ln is the natural logarithm function with base e. Both of these equations are equivalent to e^(-7.5) = h.
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This is algebra!! I need help :(
a rectangular garden has dimensions of 100 feet by 10, next season, the garden decreased to 2/5 of its size. what is the scale of the drawing for the new garden
Answer: 40 ft by 4 ft
Step-by-step explanation:
See attached picture
If the statement is correct. check with and if incorrect mark with - Vectors have magnitudes only, and scalars have both magnitudes and degrees ( ) - The resultant Vector is the sum magnitudes of all vectors and their directions ( ) - The total displacement can NOT be equal to zero ( ) - The resultant vector has a magnitude and a degree ( ) - The total distance covered CAN be equal to zero in a scenario where at least one 1 m is covered in any direction and another 1 m in a another random direction ) ( ) - The equilibrant vector has the same magnitude and opposite direction of the Resultant vector ( ) 1-What is the difference between Scalars and Vectors and Vectors 2- If a person walked 10 m in a random direction and then another 10 m in another random direction, could his displacement be equal to zero? If yes, demonstrate
Let's go through each statement one by one:
1. Vectors have magnitudes only, and scalars have both magnitudes and degrees.
Incorrect. Vectors have both magnitudes and directions, while scalars only have magnitudes. Magnitude refers to the size or length of the vector, and direction refers to the orientation or angle at which the vector points.
2. The resultant vector is the sum of the magnitudes of all vectors and their directions.
Correct. The resultant vector is obtained by adding or subtracting vectors, taking into account both their magnitudes and directions.
3. The total displacement can NOT be equal to zero.
Incorrect. The total displacement can be equal to zero if the initial and final positions are the same. In such a case, the net change in position is zero.
4. The resultant vector has a magnitude and a degree.
Incorrect. The resultant vector has a magnitude but is typically described by its direction, which can be represented using angles or other methods.
5. The total distance covered can be equal to zero in a scenario where at least one meter is covered in any direction and another meter in another random direction.
Incorrect. The total distance covered cannot be equal to zero if at least one meter is covered in any direction and another meter in another random direction. The distance is a scalar quantity and is always positive or zero, never negative.
6. The equilibrant vector has the same magnitude and opposite direction of the resultant vector.
Correct. The equilibrant vector is a vector that, when added to the given set of vectors, produces a net result of zero. It has the same magnitude as the resultant vector but points in the opposite direction.
Difference between Scalars and Vectors:
Scalars are quantities that have only magnitude and no direction, such as temperature, mass, or time. They are represented by a single value or number. Vectors, on the other hand, have both magnitude and direction, such as displacement, velocity, or force. Vectors are represented by an arrow or a line segment with magnitude and direction.
Regarding the second question:
If a person walks 10 meters in a random direction and then another 10 meters in another random direction, their displacement can be equal to zero. Displacement is a vector quantity that refers to the change in position from the initial point to the final point. In this case, if the person ends up at the same position where they started, their displacement is zero because the net change in position is zero. It doesn't matter what path they took or how many meters they walked in different directions; the final result is no change in position.
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Use the Rule of 72 to find what interest rate is needed to double $10,000 investment in the given number of years.
Answer:
It will take 14.4 years to double your investment with a interest rate of 5%.
Step-by-step explanation:
HELP I NEED THIS FOR MY HOMEWORK
Write each function in standard form.
5. y= 5(x - 2)(x + 1)
6. y=2(x + 6)(x + 3)
7. y=-2(x + 4)(x - 5)
8. y=-4(x + 2)(x + 3)
Answer:
5.y=5x-10+5x+1
y=10x-9
6.y=2x+12+2x+6
y=4x+18
7.y=-2x-8-2x+10
y=-4x+2
8.y=-4x-8-4x-12
y=-8x-20
A particular solution of y" + 9y = 4 sin 2x + 3 cos 3x – 5 will have the form: БА (a) z = A cos 2x + B sin 2x + Cx cos 3x + Dx sin 3x + E (b) 2 = Ar cos 3x + Bx sin 3x + Cx cos 2x + Dx sin 2x + Ex (c) z = A cos 2x + B sin 2x + C cos 3x + D sin 3x + E (d) z = A cos 3x + B sin 3x + C cos 2x + D sin 2x + Ex + F (e) None of the above. B Р A particular solution of y" +9y' = 2 sin 3x + 3 sin 2x – 7 will have the form: (a) 2 = A cos 3x + B sin 3x + C cos 2x + D sin 2x + Ex (b) z = Ax cos 3x + Bx sin 3x + C cos 2x + D sin 2x + Ex2 (c) z = A cos 3x + B sin 3x + C cos 2x + D sin 2x + E (d) z = Ax cos 3x + Bx sin 3x + C cos 2x + D sin 2x + E (e) None of the above. A particular solution of y" + 4y' + 4y = 2e-24 sin x +4 will have the form: (a) 2 = Ae-21 cos x + Be-21 sin x +C (b) 2 = Ae-21 cos x + Be-22 sin x +Cx (c) z = Ae-2x cos x + Be-2x sin x + Cx2 (d) z = Axe-2x cos x + Bxe-24 sin x + C (e) None of the above. D A particular solution of y" + 4y' + 4y = 5e-2x – 3e24 will have the form: (a) z = Axée-2x + Bxe2x (b) z = Ax'e-2x + Bxe2x (c) z = (A.x2 + Bx)e : +(Cx + D)e22 (d) 2 = Ax’e-2x + Be2x (e) None of the above. -2.c
The correct answers are:
A particular solution of y" + 9y = 4 sin 2x + 3 cos 3x – 5 will have the form:
(d) z = A cos 3x + B sin 3x + C cos 2x + D sin 2x + Ex + F
A particular solution of y" +9y' = 2 sin 3x + 3 sin 2x – 7 will have the form:
(e) None of the above.
A particular solution of y" + 4y' + 4y = 2e^(-2x) sin x +4 will have the form:
(c) z = Ae^(-2x) cos x + Be^(-2x) sin x + Cx^2
A particular solution of y" + 4y' + 4y = 5e^(-2x) – 3e^2x will have the form:
(b) z = Ax'e^(-2x) + Bxe^(2x)
In each of the given questions, we are asked to find a particular solution of a second-order linear differential equation with constant coefficients.
To solve such problems, we can use the method of undetermined coefficients, which involves finding a particular solution that matches the non-homogeneous term of the differential equation.
For the first question, the given differential equation is y" + 9y = 4 sin 2x + 3 cos 3x – 5. Since the non-homogeneous term contains both sine and cosine functions, we assume a particular solution of the form z = A cos 2x + B sin 2x + Cx cos 3x + Dx sin 3x + E. By plugging this into the differential equation and solving for the coefficients, we can obtain the particular solution.
Similarly, for the second, third, and fourth questions, we can use the method of undetermined coefficients to find the particular solutions. For the second question, we assume a particular solution of the form 2 = A cos 3x + B sin 3x + C cos 2x + D sin 2x + Ex. For the third question, we assume a particular solution of the form z = Axe-2x cos x + Bxe-24 sin x + Cx2. For the fourth question, we assume a particular solution of the form z = (A.x2 + Bx)e-2x + (Cx + D)e2x.
In summary, the method of undetermined coefficients provides a systematic way to find particular solutions of second-order linear differential equations with constant coefficients. By matching the form of the particular solution to the non-homogeneous term, we can determine the coefficients and obtain the final solution.
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Which of the following types of harm resulting from technological innovations can engineers be held most morally blameworthy? O Foreseen harms O Foreseeable harms O Unforeseen harms O Unforeseeable harms
Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,
and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.
They need to think about how their technology could be used, and whether it could be used to harm people or the environment.
They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.
If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.
For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,
and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.
If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.
It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.
For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.
In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.
This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.
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anybody know this :( please help
Answer:
the set of all the real values which are strictly greater than zero which is all positive real numbers
Step-by-step explanation:
In interval notation: (0, ∞)
Any exponential function with a positive base and positive multiplier will have a horizontal asymptote at y=0 and will extend to +∞. That's what this one does.
Range of a function--
The range of a function is the set of all the values that are attained by a function.
We are asked to find the range of the function f(x)
the set of all the real values which are strictly greater than zero
x > 0
please mark me brainliest :)
Which evidence from the text best supports the answer in Part A?
"We all make decisions about spending, and the companies that sell us products often follow what we as consumers tell them."
"Once you’ve found all the parts you need, you could end up spending between $65 and $120 for your new garden hose!"
"One of Germany's fiscal policies is to collect taxes in many stages during the production of items."
"Prices can also change from one place to anot
Answer:
The Answer is actually right it is A
Step-by-step explanation:
I just took the test no joke. The first time I got a 77% and now I got a 99%!
Find term number 7 of the sequence :6,30,150
3,495 rounded to the nearest hundred
Answer:
3500
Step-by-step explanation:
9 rounds up the number 4 to 5
3500
Answer:
3,500
Step-by-step explanation:
because 9 is greater than 5 so u would round upward and that 495 would become a 500 but theres also the 3,000 so add the two together and you would get 3,500
A roundabout of a radius 7 yd laid with a carpet grass. find the area of the roundabout laid with carpet grass
Area of roundabout = 153.86 yd2
we are given,
radius = 7 yd
Area of circle = π \(r^{2}\)
= 3.14 × 7× 7
= 153.86 yd2
What is the area of circle?
The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr2, where r is the radius of the circle. The unit of area is the square unit,
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Solve for x. Enter the solutions from least to greatest. x^2 +7=43
Answer:
x = - 6, x = 6
Step-by-step explanation:
Given
x² + 7 = 43 ( subtract 7 from both sides )
x² = 36 ( take the square root of both sides )
x = ± \(\sqrt{36}\) = ± 6
Thus
x = - 6, x = 6
Answer:
x exponent 2=43-7
x^2=36
x=6
Step-by-step explanation:
Which is the correct inverse function of f(x) = 4x +9?
Let y = 4x + 9
4x = y - 9
x = (y-9) / 4
f(x) = (x-9) / 4
how to change the chart style to style 42 (2nd column 6th row)?
To change the chart style to style 42 (2nd column 6th row), follow these steps:
1. Select the chart you want to modify.
2. Right-click on the chart, and a menu will appear.
3. From the menu, choose "Chart Type" or "Change Chart Type," depending on the version of the software you are using.
4. A dialog box or a sidebar will open with a gallery of chart types.
5. In the gallery, find the style labeled as "Style 42." The styles are usually represented by small preview images.
6. Click on the style to select it.
7. After selecting the style, the chart will automatically update to reflect the new style.
Note: The position of the style in the gallery may vary depending on the software version, so the specific position of the 2nd column 6th row may differ. However, the process remains the same.
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which criterion is least likely to be used in choosing bins (classes) in a frequency distribution?
The criterion that is least likely to be used in choosing bins (classes) in a frequency distribution is personal preference or subjective judgment.
When constructing a frequency distribution, it is important to consider objective criteria based on the nature of the data and statistical principles. Common criteria used for choosing bins include the range of the data, the desired number of bins, the shape of the data distribution, and the purpose of the analysis. These criteria help ensure that the bins effectively capture the variation in the data and provide meaningful insights. Personal preference or subjective judgment, on the other hand, may introduce bias and lack objectivity in determining the bin boundaries. It is essential to rely on objective criteria and statistical guidelines to make informed decisions when choosing bins for a frequency distribution.
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Suppose A=BC, where B is invertible. Show that any sequence of row operations that reduces B to also reduces A to C. The converse not true , since the zero matrix may be factored as 0= B .
Which of the following pieces of information in the problem statement are levant for showing that any sequence oi ToW operations that reduces B to also reduces A to C? Selec all that apply:
A The zero matrix may be iactored as 0= B*0.
B: A=B
C B is invertible_
D.The converse not true
Given the relevant pieces of information from the previous step, there exist ementary matrices E1,...,Ep corresponding to row operations that reduce to
I, in the sense that Ep
Applying the same sequence 0f row operations to amounts to lef-multiplying by the product
The Droof complete because C=IC=C
Suppose A=BC, where B is invertible. Show that any sequence of row operations that reduces B to also reduces A to C. The zero matrix may be factored as 0= B.
To show that any sequence of row operations that reduces B to also reduces A to C, the following pieces of information in the problem statement are relevant:
A. The zero matrix may be factored as 0= B * 0. This is not relevant for showing that any sequence of row operations that reduces B to also reduces A to C.B. A=B.
This is not relevant for showing that any sequence of row operations that reduces B to also reduces A to C.C. B is invertible. This is relevant for showing that any sequence of row operations that reduces B to also reduces A to C.D. The converse not true. This is relevant for showing that any sequence of row operations that reduces B to also reduces A to C.
Given the relevant pieces of information from the previous step, there exist elementary matrices E1, ..., Ep corresponding to row operations that reduce B to I, in the sense that Ep...E2E1B=I. Applying the same sequence of row operations to A amounts to left-multiplying by the product E1E2...Ep.
Therefore, A is transformed to C, since
C = IB = E1
E2...Ep
B = E1E2...EpA.
The proof is complete because C = IC = C.
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True or False:
According to the table, about 10% of customers surveyed
ordered the eggplant parmesan meal.
About 10% of customers surveyed ordered the eggplant parmesan meal is false.
We have,
Total number of orders.
= 13 + 10 + 5 + 17 + 5
= 50
Now,
The total number of eggplant orders.
= 10
Now,
The percentage of eggplant orders.
= 10/50 x 100
= 10 x 2
= 20%
Thus,
About 10% of customers surveyed ordered the eggplant parmesan meal is false.
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a box contains one 2-inch rod, one 3-inch rod, one 4-inch rod, and one 5-inch rod. what is the maximum number of different triangles that can be made using these rods as sides?
On solving the provided question, we can say that we excluded example 2 above, a maximum of 3 triangles can be created with those rods.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear.
\(2-inch, 3 inch, 4-inch\)
triangle, because 2+3 > 4, 2+4 > 3, and 3+4 > 2
\(2-inch, 3 inch, 5-inch\)
This is doesn't make a triangle as \(2+5 > 3, and 3+5 > 2,\)
2+3 is not more than 5,, they cannot make triangle.
\(2-inch, 4 inch, 5-inch\)
triangle, because 2+4 > 5, 2+5 > 4, and 4+5 > 2
\(3-inch, 4 inch, 5-inch\)
a triangle, because 3+4 > 5, 3+5 > 4, and 4+5 > 3
Therefore, since we excluded example 2 above, a maximum of 3 triangles can be created with those rods.
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Does this graph represent a function? Why or why not?
10-
8-
6-
2
--8-
-10-
O A. No, because it fails the vertical line test.
OB. Yes, because it passes the vertical line test.
OC. Yes, because it is a curved line.
OD. No, because it is not a straight line.
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