Given:
\(p(x)=x^3-6x^2-5x-14\)Factor of (x-7) is:
\(\begin{gathered} =\frac{p(x)}{x-7} \\ =\frac{x^3-6x^2-5x-14}{x-7} \end{gathered}\)so factor of (x-7) is:
\(\begin{gathered} p(x)=x^3-6x^2-5x-14 \\ =(x-7)(x^2+x+2) \end{gathered}\)
This is for my little brother
Answer:
9 1/3
Step-by-step explanation:
Pls, choose me as brainliest!
what's the answer for 1/2 of 3/5?
Answer:
3/10
Step-by-step explanation:
A, B, C, or D? Im a little confused.
Answer:
D
Step-by-step explanation:
The answer is D
To find this answer you find the need to find the equation of the lines. The equation of the first line is \(-\frac{5}{2} + 40\) . I found this because I looked at the rise/run or how much the graph is moving up or down. In this graph, it is moving down by 1. But the graph is incremented by 5 so the rise is 5. Next, the graph is moving left by 2 so the slope is -5/2. The y-intercept is 40 because it is the place where the line hits the y-axis.
The next equation for the line is repeating the same steps and you get \(-\frac{5}{3}+15\).
The next part would be the solution of the lines. The solution is where the two lines intersect. The lines intersect at (6, 25). Only answer D has all these parts correct.
What is a simplified expression for the perimeter of a rectangle with sides 2x and x + 5
Answer:
3x+5=-5/3
Step-by-step explanation:
Perimeter of rectangle= 2(l+b)
l= 2x
b= x+5
Eq.
2(2x+x+5)=0
2(3x+5)=0
Therefore, ans =3x+5
=-5/3
suppose you are a witness to a nighttime hit-and-run accident involving a taxi in athens. all taxis in athens are blue or green. you swear, under oath, that the taxi was blue. extensive testing shows that, under the dim lighting conditions, discrimination between blue and green is 75% reliable. 1. is it possible to calculate the most likely color for the taxi? (*hint:* distinguish carefully between the proposition that the taxi *is* blue and the proposition that it *appears* blue.) 2. what if you know that 9 out of 10 athenian taxis are green?
1. The most likely color for the taxi = green
2. The probability that the taxi is blue = 0.25
Let us assume that tg represents the taxi was green and tb represents the taxi was blue;
Also yg represents the taxi appeared green and yb represents the taxi appeared blue.
9 out of 10 athenian taxis are green
So, P(tg) = 0.90
And, P(tb) = 1 - P(tg)
= 1 - 0.90
= 0.10
As under the dim lighting conditions, discrimination between blue and
green is 75% reliable,
P(yb | tb) = 0.75.
So, P(yg | tb) = 1 - P(yb | tb)
= 0.25
Similarly P(yg | tg) = 0.75
Thus, P(yb | tg) = 1 - P(yg | tg)
= 0.25
P(tb | yb) = P(tb, yb) / P(yb)
= [P(yb | tb) P(tb)] / [P(yb, tg)P(tg) + P(yb | tb) P(xb)]
= 0.25
Thus the probability that the taxi is blue = 0.25
P(tg | yb) = 1 - P(tb | yb)
= 0.75
We can observe that P(tb | yb) > P(tb) but the posterior P(tb | yb) is smaller than 0.5, since the prior P(tb) is very small. Thus, the taxi was most likely green.
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The complete question is:
Suppose you are a witness to a nighttime hit-and-run accident involving a taxi in Athens.All taxi cars in Athens are blue or green. You swear under oath that the taxi was blue.Extensive testing shows that, under the dim lighting conditions, discrimination between blue and green is 75% reliable.
1. is it possible to calculate the most likely color for the taxi? (*hint:* distinguish carefully between the proposition that the taxi *is* blue and the proposition that it *appears* blue.)
2. what is the probability of the taxi being blue, if you know that 9 out of 10 athenian taxis are green?
Solve the equation for t^2 +15t=-36.
Answer:
t=−3 or t=−12
Step-by-step explanation:
Step 1: Subtract -36 from both sides.
t2+15t−(−36)=−36−(−36)
t2+15t+36=0
Step 2: Factor left side of equation.
(t+3)(t+12)=0
Step 3: Set factors equal to 0.
t+3=0 or t+12=0
t=−3 or t=−12
write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
S • 41. If US$ 1 is equivalent to $ 47.50, the value of US$7 in Jamaican currency is?
Answer:
your anwser is 1085
Step-by-step explanation:
The value of X in the figure ABCD witch is a rhombus
Answer:
x = 10°
Step-by-step explanation:
The diagonals of a rhombus divide the figure into congruent right triangles. That means the two marked acute angles are complementary.
__
solve for xComplementary angles total 90°, so the relation we can use to find x is ...
(3x -13) +(8x -7) = 90
11x = 110 . . . . . . . . . add 20
x = 10 . . . . . . . . . divide by the coefficient of x
The value of x is 10°.
should the researcher use the rows or the columns of the field as blocks? justify your answer.
Yes, the researcher use the rows or the columns of the field as blocks.
When conducting research, it is important to think about which structure to use as the basis for your work.
In particular, when dealing with a matrix, the question arises of whether the researcher should use the rows or columns as blocks.
Both have their own advantages and drawbacks, which should be taken into consideration before making a decision.
However, it can be challenging to discover similarities between data points within the same row.
Additionally, the matrix structure can become distorted, as the data points no longer form a neat square or rectangle.
Ultimately, which approach the researcher should take depends on the type of research being conducted and the goals of the project.
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A facility complex where there are 5 existing department (D1, D2, D3, D4, D5) around a central courtyard or circulation space area for material handling and setup and storage. Two new facilities (F1 and F2) to serve the 5 departments are going to be located at two of the 3 points {A, B, C} in the courtyard. You wish to find the location of F1 and F2 that minimizes the total distance traveled in two-way trips to and from the existing departments. The number of two-way trips per day is (20, 5, 10, 5, 15) and (20, 20, 10, 0, 8) for F1 and F2, respectively. Assume that travel is initiated from the central location of the departments, as indicated by their coordinates: Department (x, y): D1 (1, 7), D2 (7, 12), D3 (15, 7), D4 (12, 2), D5 (4, 3). Point (x, y): A (6, 8), B (10, 8), C (7, 5). The rule to locate the facility is: each facility can only be located to one point; each point can only locate one facility. The worst case is:
1 F1 to A, and F2 to B
2 F2 to A, and F1 to B
3 F1 to C, and F2 to B
4 None of them
5 F1 to B, and F2 to C
After calculating the total distances for each scenario, we can compare them to find the worst-case scenario that minimizes the total distance traveled. The scenario with the smallest total distance will be the best option.
To determine the worst-case scenario that minimizes the total distance traveled in two-way trips to and from the existing departments, we need to calculate the total distance for each possible combination of facility locations (F1 and F2).
Let's calculate the total distance for each scenario:
F1 to A, and F2 to B:
Total distance = distance(D1 to F1) + distance(F1 to A) + distance(D2 to F2) + distance(F2 to B) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)
Calculate the distances using the coordinates provided and sum them up.
F2 to A, and F1 to B:
Total distance = distance(D1 to F2) + distance(F2 to A) + distance(D2 to F1) + distance(F1 to B) + distance(D3 to F1) + distance(D4 to F1) + distance(D5 to F2)
Calculate the distances using the coordinates provided and sum them up.
F1 to C, and F2 to B:
Total distance = distance(D1 to F1) + distance(F1 to C) + distance(D2 to F2) + distance(F2 to B) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)
Calculate the distances using the coordinates provided and sum them up.
None of them (No facility locations specified)
F1 to B, and F2 to C:
Total distance = distance(D1 to F1) + distance(F1 to B) + distance(D2 to F1) + distance(F2 to C) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)
Calculate the distances using the coordinates provided and sum them up.
After calculating the total distances for each scenario, we can compare them to find the worst-case scenario that minimizes the total distance traveled. The scenario with the smallest total distance will be the best option.
Please note that to calculate the distance between two points, you can use the Euclidean distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Perform the calculations for each scenario to determine the worst-case scenario that minimizes the total distance traveled.
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If A is a 12 x 9 matrix, what is the largest possible dimension of the row space of A? If A is a 9x 12 matrix, what is the largest possible dimension of the row space of A? Explain. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The dimension of the row space of Ais equal to the number of non-pivot columns in A. Since there are more rows than columns in a 12 x 9 matrix, the dimension of the row space of a 129 matrix must equal Since there are 9 rows in a 9x 12 matrix, there are a maximum of 9 pivot positions in A and 3 non-pivot columns. Therefore, the largest possible dimension of the row space of a 9 x 12 matrix is __B. The dimension of the row space of A is equal to the number of rows of A, which is equal to the number of pivot positions in A. Since there are 12 rows in a 12 x 9 matrix, the largest possible dimension of the row space of a 12 x 9 matrix is Since there are 9 rows in a 9x 12 matrix, the largest possible dimension of the row space of a 9 x 12 matrix is ___C. The dimension of the row space of A is equal to the number of pivot positions in A. Since there are only 9 columns in a 12 x 9 matrix, and there are only 9 rows in a 9 x 12 matrix, there can be at most pivot positions for either matrix. Therefore, the largest possible dimension of the row space of either matrix is ___
The dimension of the row space of A is equal to the number of rows of A, which is equal to the number of pivot positions in A. Since there are 12 rows in a 12 x 9 matrix, the largest possible dimension of the row space of a 12 x 9 matrix is 9. The correct option is (B).
This is because a matrix with more rows than columns, the largest possible dimension of the row space is equal to the number of rows, while for a matrix with more columns than rows, the largest possible dimension of the row space is equal to the number of pivot positions.
Since there are 9 rows in a 9 x 12 matrix, there are a maximum of 9 pivot positions in A and 3 non-pivot columns. Therefore, the largest possible dimension of the row space of a 9 x 12 matrix is 9 as well.
The dimension of the row space of matrix is the number of linearly independent rows in the matrix. The row space is spanned by the row vectors of the matrix. The row space is also the orthogonal complement of the null space, which is the space of all solutions to the equation Ax = 0, where A is the matrix and x is a column vector.
For a matrix with more rows than columns, like a 12 x 9 matrix, there will be at most 9 pivot positions, and the largest possible dimension of the row space is equal to the number of rows, which is 12. However, it is unlikely that all rows are linearly independent, so the actual dimension of the row space may be less than 12.
For a matrix with more columns than rows, like a 9 x 12 matrix, there will be at most 9 pivot positions, and the largest possible dimension of the row space is equal to the number of pivot positions, which is 9. The remaining 3 columns must be non-pivot columns, and their corresponding rows are linear combinations of the pivot rows.
Therefore, the row space can have at most 9 linearly independent rows. The correct answer is (B).
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represent the rational number in number line 3 /4
Answer:
See below
Step-by-step explanation:
can someone help me solve this and show work?
THIS IS GOOD Step-by-step explanation:
25
Which equation best represents the relationship between x and y in the graph?
Y
9
S
2
5
4
3
2
1
-2
3
Ay=-4-3
4
3
BY--x-3
c y = - 8x - 4
D y = - 3X -4
Cy
7X
Dy=-31
*
Answer:
-3/4 x -3
Step-by-step explanation:
Put all Answer choice on graph:
-3/4 x -3
-4/3 x - 3
-3/4 x -4
Base on the graphs below:
we can see that -3/4 x -3 is the best represents..
~Lenvy~
After a 80% reduction, you purchase a new washing machine on sale for $56.
What was the original price of
the washing machine?
The original price was___
Pt.2 Please show your work
Find the slope when given the following points
(-3, 2) and (1, 0)
Answer:
slope is = -1/2
Step-by-step explanation:
y2-y1= 2-0= 2
x2-x1= -3-1= -4
2/-4= -1/2
Determine whether there is positive, a negative, or
no correlation between weight and IQ as shown in
the chart below.
Weight IQ
150 120
195 110
200 150
230 120
A. No correlation
O B. Positive
O C. Negative
Answer:
Negative
Step-by-step explanation:
That's the answer........
Answer: C
Step-by-step explanation: I took the test
In the oak forest, 60 kids are playing capture the flag.That is 40 percent of all kids in the park.How many kids are in the park?
Answer:
150 kids
Step-by-step explanation:
If 60 kids is 40% of the total kids, we can add another 60 to get 80% and then half of 60 (30) to bring the total up to 100% of the kids.
Quadratic equation
three years ago a father was three times as old as his son. in five years time, the father will be twice as old as his son.what is the sum of their ages in four years time?
Answer:
46Step-by-step explanation:
x - age of a son three years ago
3x - age of a father three years ago
x + 3 - age of the son now
3x + 3 - age of the father now
x + 3 + 5 - age of the son in five years time
3x + 3 + 5 - age of the father in five years time
in five years time, the father will be twice as old as his son, so:
3x + 3 + 5 = 2(x + 3 + 5)
3x + 8 = 2x + 16
3x - 2x = 16 - 8
x = 8
x + 3 + 4 - age of the son in four years time
8 + 3 + 4 = 15
3x + 3 + 4 - age of the father in four years time
3×8 + 3 + 4 = 31
the sum of their ages in four years time:
15 + 31 = 46
If two triangles are similar, what relationships do the corresponding sides and angles have with each other?.
In summary, the relationships between the corresponding sides and angles of similar triangles are: Corresponding sides are proportional and congruent.
When two triangles are similar, the corresponding sides of the triangles are proportional. This means that the ratio of the lengths of corresponding sides in the two triangles is equal. Similarly, the corresponding angles of similar triangles are congruent. This means that the angles in the two triangles that correspond to each other are equal in measure.
When two triangles are similar, it means that they have the same shape but possibly different sizes. The concept of similarity implies that the corresponding sides of the triangles have the same proportional relationship.
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Find the probability of exactly four successes in five trials of a binomial experiments in which the probability of success is 40%
Answer:
0.0768 or 7.68%
Step-by-step explanation:
(5 choose 4)*0.4^4*0.6=0.0768
calculate the value of (-18) (-3)
Answer:
54
Step-by-step explanation:
You do -18 times -3 which is equal to 54. It is positive because in multiplication and division if you multiply a negative times a negative or divide a negative divided by a negative it will equal a positive.
Hope this helps!
Rewrite, using the distributive property
Answer:
thr answer is 12x - 15, make sure to put -15 instead of just 15 if it's accelus.
Answer:
-3(-4x + 5)=[?]x -[ ]
-3 + 5=-4x
4x=5+(-3)
4x=2
x=2*4
x=8
[8]x -[4]
Look at the equations below. Find a pair of equations whose lines are perpendicular.
The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3
Find a pair of equations whose lines are perpendicular.from the question, we have the following parameters that can be used in our computation:
The pair of equations
By definition;
The slopes of perpendicular lines are opposite reciporcals
So, we have
(a) -1/3 and -3 false
(b) -3 and -6 false
(c) 3 and 3 false
(d) 1/6 and -6 true
Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3
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the difference of y and 8 is less than or equal to -27
Translate the sentence into an inequality.
Answer:
y - 8 ≤ -27
Step-by-step explanation:
The difference of y and 8 is less than or equal to -27
y - 8 ≤ -27
how many trees are less than 12 m tall or at least 28 m tall?
The numbe of trees that are less than 12 m tall or atleast 28 m tall using from the histagram is 5
What is an Histagram?A histogram is a graph that shows the frequency of numerical data using rectangles.
In mathematics, "or" means addition.
From the question, to find the number of trees that are less than 12 m tall or atleast 28 m tall, we use the formula below.
Formula:
N = T+T'............... Equation 1Where:
N = The number of trees that are less than 12 m tall or atleast 28 m tallT = Number of trees that are less than 12 m tallT' = Number of trees that are atleast 28 m tallFrom the diagram,
T = 1+2 = 3 treesT' = 2 treesSubstitute these values into equation 1
N = 3+2N = 5 treesHence, the numbe of trees is 5.
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Which expressions describe the end behaviors of the function f(x)=2^x+3. modeled by the graph attached to this. Choose all that are correct.
As x increases without bound, f(x) approaches zero.
As x decreases without bound, f(x) approaches zero.
As x decreases without bound, f(x) approaches the line y = 3.
As x increases without bound, f(x) increases without bound.
The graph of function f(x) = \(2^{x}\) + 3 will be increases without bound As x increases without bound and As x decreases without bound, f(x) approaches the line y = 3 therefore option (C) and (D) will be correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
The graph is easy to understand behavior of the graph.
Given the function,
f(x) = \(2^{x}\) + 3
At x = 0 → f(0) = 2⁰ + 3 = 3
This is an exponential function as shown below which will be increasing as x increase while it will gain the value y = 3 as x decrease.
Hence "The graph of function f(x) = \(2^{x}\) + 3 will be increases without bound As x increases without bound and As x decreases without bound, f(x) approaches the line y = 3".
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help me ??? ???????????
Answer:
a) 5x + 4x = 9x
b) 8a - 3a +7b + 2b = 5a + 9b
c) 11y - 8 + 3y + 2 = 14y - 6
d) 12x + 3y - 5z - 6x + y - 4z = 6x + 4y - 9
e) (2x - 5) + (7x + 5) = 9x
f) (- 10a + 3b - 4c) - (4a + 2b - 9c) = -14a + b + 5c
Step-by-step explanation:
HOPE IT HELPS U!!!!For this discussion, you will answer the following three questions. Each question should be a paragraph in length thoroughly explaining your logic. You may note that salesperson creativity was not listed as one of the top 10 selling success factors mentioned by managers. - Is salesperson creativity always a good thing? Please explain - Can you train salespeople to be creative? Please explain. If you answered yes, how? If you answered no, why not? - How have you acted creatively in solving a customer issue? (this is a GREAT one to have ready for an interview!)
The answers are as follows:
1. Is salesperson creativity always a good thing?
Please explain.
Creativity is a great quality to possess, but it is not a necessity when it comes to sales.
The most significant factor is to focus on the customer's needs and provide solutions to their problems. Creativity can help the salesperson in achieving the target and gaining new customers.
However, it may also lead to the introduction of new and innovative products that can lead to a loss instead of profit.
Therefore, creativity should not be the only factor for sales success.
2. Can you train salespeople to be creative? Please explain. If you answered yes, how? If you answered no, why not?
Creativity is an essential skill, but not everyone possesses it naturally. However, it is possible to train salespeople to be more creative.
One way to do this is to provide them with new and unique training programs. It will help in nurturing their creativity and encouraging them to think outside the box.
Another way is to provide them with real-life case studies and give them time to brainstorm. This will help in enhancing their critical thinking and problem-solving abilities.
Yes, it is possible to train salespeople to be creative.
3. How have you acted creatively in solving a customer issue? (this is a GREAT one to have ready for an interview!)
In my previous job, I once had a customer who had a unique issue. The customer was unhappy with the color of the product, and no other product was available in that particular color. The customer wanted to return the product, but that was not possible as per the company's policy.
Therefore, I suggested that we paint the product in the desired color. This solution was approved by the company, and the customer was delighted with the outcome.
It was a creative solution that helped in retaining the customer and creating brand loyalty.
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