can a vector have a component greater than the vector's magnitude ?
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Related Questions
4x - 9 = 35
Given: 4x– 9 = 35
Prove: x= 11
What are the reasons for the statements below?
4x - 9 = 35
4x = 44
X=11
Answers
Answer:
Step-by-step explanation:
4x - 9 = 35 Add 9 to both sides
4x - 9 +9 = 35 + 9 Combine like terms
4x = 44 Divide both sides by 4
4x/4 = 44/4 Complete the division
x = 11
(x + 2)(3x – 1) = 0
X^2+4x=0
2m^2-128=0
2x^2+3x-14=0
Answers
Step-by-step explanation:
x^2+4x=0
therefore x=-4
can u guys help me with
5 divided by 1/3
Answers
Answer:
15
Step-by-step explanation:
Keep, Change, Flip. That is the mantra you should have when you come to division problems with fractions. So you would keep the 5, change the sign into multiplication, and flip the fraction from 1/3 to 3/1 (which actually is just 3). Then you would multiply 5 * 3. Your answer should be 15.
Answer:
15
Step-by-step explanation:
To divide any number by a fraction, flip the fraction and then multiply:
\(5 \div \frac{1}{3} = 5 \cdot \frac{3}{1} = 15\)
if you were to walk around the perimeter of a particular building, you would cover 2516 ft. if this rectangular building is 194 ft longer than it is wide, what are its dimensions?
Answers
Answer:
532 ft wide726 ft longStep-by-step explanation:
You want to know the dimensions of a rectangular building that has a perimeter of 2516 feet and is 194 feet longer than wide.
SetupLet w represent the width of the building. Then w+194 is the length, and the perimeter is ...
P = 2(L +W)
2516 = 2((w+194) +w)
Solution2516 = 4w +388 . . . . simplify
2128 = 4w . . . . . . . subtract 388
532 = w . . . . . . . divide by 4
w+194 = 726 . . . . . length
The building is 532 feet wide and 726 feet long.
Find the next three terms of the arithmetic sequence.
10, 13, 16, 19
Answers
Answer:
22, 25, 28
Step-by-step explanation:
10 + 3 = 13
13 + 3 = 16
16 + 3 = 19
19 + 3 = 22
22 + 3 = 25
25 + 3 = 28.
all numbers go up by three points
correct answer pls grades for me are due tomorrow and im confused on most questions that im posting
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Find the value of y + 8 when y= 19
Answers
Answer:
y +8= 19 + 8
19 plus 8 is 27
Step-by-step explanation:
the answer is 27
what is the true size of a block with nominal size of 6x4x16?
Answers
The true size of a block with a nominal size of 6x4x16 may vary. The nominal size refers to the intended dimensions, but the actual size can differ due to manufacturing tolerances and other factors.
The nominal size of 6x4x16 indicates the intended dimensions of the block, with a length of 16 units, width of 6 units, and height of 4 units. However, the true size of the block can vary from the nominal size due to manufacturing tolerances and other factors.
Manufacturing processes may introduce slight variations in the actual dimensions of the block. These variations are commonly referred to as tolerances. Tolerances account for potential deviations from the intended dimensions and are necessary to accommodate practical considerations during manufacturing.
Therefore, without specific information on the tolerances or manufacturing specifications, it is not possible to determine the true size of a block with a nominal size of 6x4x16. The true size can vary within an acceptable range based on manufacturing tolerances and other factors.
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a statistical procedure used to describe the strength and direction of the linear relationship between two factors is called ______
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The statistical procedure used to describe the strength and direction of the linear relationship between two factors is called correlation analysis.
Correlation analysis is a statistical technique that examines the relationship between two variables to determine the strength and direction of their association. It focuses specifically on the linear relationship between the variables, which means it assumes that the relationship can be represented by a straight line.
The result of a correlation analysis is often expressed as a correlation coefficient, which measures the degree of association between the variables. The correlation coefficient ranges from -1 to 1, where:
A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a consistent manner.
A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable also increases in a consistent manner.
A correlation coefficient close to 0 indicates a weak or no linear correlation between the variables.
Correlation analysis helps to understand the relationship between variables and can provide insights into patterns, trends, and dependencies in the data. However, it is important to note that correlation does not imply causation, meaning that a strong correlation between two variables does not necessarily imply that one variable causes the other to change.
In addition to determining the correlation coefficient, correlation analysis can also involve generating a scatter plot to visualize the relationship between the variables and conducting hypothesis tests to assess the statistical significance of the correlation.
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Type the missing number in this sequence,3, 9,_,24,33,43,54
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Answer: 18
Step-by-step explanation:
when experimental results are significant, this means that the hypothesis has been . group of answer choices null; accepted alternative; rejected null; rejected experimental; rejected
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When experimental results are significant, this means that the null hypothesis has been rejected.
When experimental results are significant, this means that the null hypothesis has been rejected. When the p-value is less than or equal to your values. Your sample data support another hypothesis that the effect occurs in the population. For a useful mnemonic, remember - when the p-value is low, the null should disappear. Confirming or rejecting a false hypothesis. If the p-value is less than the critical value, the null hypothesis is rejected. The null hypothesis is a statistical assumption that says there is no statistical significance in a group of observations. Hypothesis testing is used to test the reliability of a hypothesis using sample data. It is sometimes called "blank" and stands for H0. A negative hypothesis, also known as a hypothesis, is used in quantitative analysis to evaluate a hypothesis about a business, investment, or business and determine whether the idea is true, true, or false.
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In four basketball games, Kevin averaged 15.5 points per game. How many total points did Kevin score in the four games?
Answers
Answer:
3.875 points
Step-by-step explanation:
15.5/4=3.875
Isabelle worked 50 hours over the past two weeks, and she gets paid by the hour during the first week of the two weeks. She worked 30 hours and get paid $285.00. how much did she get paid during the week of the second week of the two weeks span?
A $114.00
B$190.00
C$427.50
D$475.50
Answers
Answer:
B- $190.00
Step-by-step explanation:
if you divide $285 by 30 you find out she earns $9.50 per hou. And if you multiply 9.5 times the remaining hours (20) you get $190
Answer:
B. $190.00
Step-by-step explanation:
Correct on edg. 2020
15 POINTS GIVEN⁉️⁉️
Using the scatter graph, decide whether each of the following statements is true or false: a) The same athlete had the longest javelin throw and the longest discus throw. b) The shortest javelin throw was longer than the shortest discus throw. c) The longest discus throw was shorter than the longest javelin throw. Athletes' javelin and discus throws 60 Length of discus throw (m) 5 55 90 0 X 40 X X X x X X X X X 45 50 55 60 Length of javelin throw (m) X X 65 70
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Scatter graphs are used to represent data by using dots or symbols to represent data on two variables. There are two axes, a horizontal (x-axis) and a vertical (y-axis), where the horizontal axis is used for one variable and the vertical axis is used for the other variable. the statement is true.
Scatter graphs can be used to answer different questions about data by analyzing the pattern of the data. The questions that we want to answer using the scatter graph given in the question are:
a) The same athlete had the longest javelin throw and the longest discus throw.
b) The shortest javelin throw was longer than the shortest discus throw.
c) The longest discus throw was shorter than the longest javelin throw.
Answer: a) The same athlete had the longest javelin throw and the longest discus throw. This statement can be observed from the scatter graph by identifying the dots that are the highest and on the right of the graph.
The athlete who had the longest javelin throw also had the longest discus throw. Therefore, the statement is true.
b) The shortest javelin throw was longer than the shortest discus throw.
This statement can be observed from the scatter graph by identifying the dots that are the lowest and on the left of the graph.
The shortest javelin throw is longer than the shortest discus throw. Therefore, the statement is true. c) The longest discus throw was shorter than the longest javelin throw.
This statement can be observed from the scatter graph by identifying the dots that are the highest and on the right of the graph. The longest discus throw is shorter than the longest javelin throw. Therefore, the statement is false.
To conclude, scatter graphs are used to represent data by using dots or symbols to represent data on two variables. They can be used to answer different questions about data by analyzing the pattern of the data.
The scatter graph in the question can be used to determine whether a statement is true or false by identifying the dots that represent the data.
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Of the 120 rooms in a hotel, 55% are single-bed rooms, 30% are double-bedrooms, and the rest are deluxe rooms. How many deluxe rooms are there?
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There are 18 deluxe rooms in the hotel.
To find the number of deluxe rooms in the hotel, we need to calculate the percentage of rooms that are deluxe.
The percentage of single-bed rooms is 55%, and the percentage of double-bedrooms is 30%. Therefore, the percentage of deluxe rooms can be calculated as:
Percentage of deluxe rooms = 100% - (Percentage of single-bed rooms + Percentage of double-bedrooms)
= 100% - (55% + 30%)
= 100% - 85%
= 15%
So, 15% of the total rooms in the hotel are deluxe rooms.
To determine the number of deluxe rooms, we can multiply the total number of rooms by the percentage of deluxe rooms:
Number of deluxe rooms = 15% of 120 rooms
= (15/100) * 120
= 0.15 * 120
= 18
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You are CEO of Rivet Networks, maker of ultra-high performance network cards for gaming computers, and you are considering whether to launch a new product. The product, the Killer X3000, will cost $900,000 to develop up front (year 0), and you expect revenues the first year of $800,000, growing to $1.5 million the second year, and then declining by 40% per year for the next 3 years before the product is fully obsolete. In years 1 through 5, you will have fixed costs associated with the product of $100,000 per year, and variable costs equal to 50% of revenues. what are the cash flows for the project in years 0 through 5? Plot the NPV profile for this investment from 0% to 40% in 10% increments. what is the project's NPV if the project's cost of capital is 10%? Use the NPV profile to estimate the cost of capital at which the project would become unprofitable;
Answers
The NPV of the project is $0 when the cost of capital is around 31%, and the project becomes unprofitable beyond this point.
Given data, The upfront cost of the project is $900,000Year 1 revenues
= $800,000Year
2 revenues = $1,500,000 Year
3-5 revenue decline by 40% each year Fixed costs = $100,000 per year Variable costs = 50% of revenue
Year-wise cash flows: Year 0: -$900,000 Year
1: $800,000 - 50%($800,000) - $100,000 = $300,000Year
2: $1,500,000 - 50%($1,500,000) - $100,000 = $550,000Year
3: $0.6(1 - 0.4)($1,500,000) - 50%($0.6(1 - 0.4)($1,500,000)) - $100,000
= $210,000Year
4: $0.6(1 - 0.4)2($1,500,000) - 50%($0.6(1 - 0.4)2($1,500,000)) - $100,000 = $126,000Year
5: $0.6(1 - 0.4)3($1,500,000) - 50%($0.6(1 - 0.4)3($1,500,000)) - $100,000 = $75,600
Net cash flow in years 0-5 = -$900,000 + $300,000 + $550,000 + $210,000 + $126,000 + $75,600
= $362,600.
The following is the NPV profile of the project: For the cost of capital of 10%, the project's NPV can be calculated by discounting the cash flows by the cost of capital at 10%.
NPV = -$900,000 + $300,000/(1 + 0.10) + $550,000/(1 + 0.10)2 + $210,000/(1 + 0.10)3 + $126,000/(1 + 0.10)4 + $75,600/(1 + 0.10)5
= -$900,000 + $272,727.27 + $452,892.56 + $152,979.17 + $80,362.63 + $42,429.59
= $101,392.22
The project's NPV is $101,392.22 when the cost of capital is 10%.When the NPV is zero, it is called the project's Internal Rate of Return (IRR). The NPV is positive when the cost of capital is below the IRR, and the NPV is negative when the cost of capital is above the IRR. When the IRR is less than the cost of capital, the project is unprofitable.The following table shows the NPV of the project at various costs of capital:The NPV of the project is $0 when the cost of capital is around 31%, and the project becomes unprofitable beyond this point.
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What is the slope of the line represented by the equation 10x+5y=4?
2
1/2
−1/2
−2
Answers
The easiest way to find the slope of a line given in standard form is to put it into slope-intercept form.
Slope-intercept form: y = mx + b
---m is the slope, b is the y-intercept
10x + 5y = 4
5y = -10x + 4
y = -2x + 4/5
The slope of the line is -2.
Hope this helps!
Consider the given pseudo code. Write the function T(n) in terms of the number of operations, and then give the asymptotic (big Oh) complexity of the algorithm, show all the work you do. [ write the summation formula and solve it, or use the "Look for pattern"method. a. Matrix Multiplication
Answers
The function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.
The pseudo code for matrix multiplication may look something like this:
```
MatrixMultiplication(A, B):
n = size of matrix A
C = empty matrix of size n x n
for i = 1 to n do:
for j = 1 to n do:
sum = 0
for k = 1 to n do:
sum = sum + A[i][k] * B[k][j]
C[i][j] = sum
return C
```
Let's break down the number of operations step by step:
1. Assigning the size of matrix A to variable n: 1 operation
2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)
3. Outer loop: for i = 1 to n
- Incrementing i: n operations
- Inner loop: for j = 1 to n
- Incrementing j: n^2 operations (since it is nested inside the outer loop)
- Initializing sum to 0: n^2 operations
- Innermost loop: for k = 1 to n
- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)
- Performing the multiplication and addition: n^3 operations
- Assigning the result to C[i][j]: n^2 operations
- Assigning the value of sum to C[i][j]: n^2 operations
Total operations:
1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1
Therefore, the function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1
To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.
In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
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Mary Smith ordered 3/4 truckload of merchandise. If approximately 1/3 of the merchandise has been unloaded, how much remains to be unloaded?
Answers
Step-by-step explanation:
Given that,
Mary Smith ordered 3/4 truckload of merchandise.
If approximately 1/3 of the merchandise has been unloaded.
To find,
How much remains to be unloaded?
Solution,
Remaining amount = Total truckload - Unloaded amount
Let x is the remaining amount. So,
\(x=\dfrac{3}{4}-\dfrac{1}{3}\\\\x=\dfrac{3(3)-4}{12}\\\\x=\dfrac{5}{12}\)
Answer:
So, the remaining amount is \(\dfrac{5}{12}\).
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Using formula:
Remaining amount = Total truckload - Unloaded amount
Calculating the remaining amount:
\(\to \bold{x=\frac{3}{4}-\frac{1}{3}}\\\\\)
\(\bold{=\frac{3\times 3-4}{12}}\\\\\bold{=\frac{9-4}{12}}\\\\\bold{=\frac{5}{12}}\\\\\bold{=0.416}\\\\\)
Therefore, the remaining amount is "0.416"
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Mr. Ramsey just finished bathing his kids, and now he is draining the tub. The tub contains 32 gallons of water and is draining at a rate of 3 gallons per minute. After 7 minutes, how many gallons are left in the tub?
Answers
The tub starts with 32 gallons. Every minute it loses 3 gallons.
So after 1 minute it has lost 3 gallons. For example:
32-3= 29 Meaning that after 1 minute the tub has 29 gallons left.
Now you have to remember that the tub is draining for 7 minutes. So it is losing 3 gallons 7 times, because it loses 3 gallons each minute and there are 7 minutes.
We can use multiplication to find how many gallons the tub loses after 7 minutes. This sign “X” basically means “groups of”. We have 7 groups of 3, or
7 X 3
This is the same as saying we have 3, 7 times. Written like this:
3+3 +3 +3 +3 +3 +3 = 21
So after 7 minutes the tub has lost 21 gallons.
Now we take the original number of gallons and take away what was lost:
32-21=11
So there are 11 gallons left after 7 minutes.
Please let me know if you need any further explanation. Hope this helped.
Answer:
y=-3x + 32
Hope this
the example shows that <A is congruent to <R. what does it mean to say that angles are congruent
Answers
Answer:
It means that the measurments of both angles are equal.
Step-by-step explanation:
Mr. hernandez has a high-speed printer that can produce 32 pages per minute.
Answers
Mr. Hernandez's high-speed printer with a capability of producing 32 pages per minute is a valuable asset, especially in situations where time is of the essence
Mr. Hernandez is the owner of a high-speed printer that has the capability to produce 32 pages per minute. This means that the printer can print 32 pages in one minute of operation.
The speed of 32 pages per minute indicates the printer's printing capacity or output rate. It signifies how many pages the printer can produce within a specific time frame, in this case, one minute.
This high-speed printer is particularly advantageous when there is a need for quick and efficient printing. It allows for the rapid production of documents, whether for personal or professional purposes. With a speed of 32 pages per minute, the printer can handle printing tasks effectively and save valuable time.
It's worth noting that the printer's actual performance may vary based on factors such as the complexity of the document being printed, the print quality settings, and the condition of the printer itself. These factors can impact the printer's overall speed and efficiency.
Overall, Mr. Hernandez's high-speed printer with a capability of producing 32 pages per minute is a valuable asset, especially in situations where time is of the essence, such as in busy offices, schools, or any environment that requires frequent printing of documents.
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Write the slope-intercept equation of the function f whose graph satisfies the given conditions.
The graph of f
passes through (-4,4)
and is perpendicular to the line with an x-intercept of 2
and a y-intercept of -4.
.
Answers
Given that the graph of the function f passes through (-4, 4) and is perpendicular to the line with an x-intercept of 2 and a y-intercept of -4.
We have to find the slope-intercept equation of the function f.
Since the line with x-intercept of 2 and y-intercept of -4 has x-intercept and y-intercept, respectively,
the coordinates of the intercepts are (2, 0) and (0, -4).
The slope of the line passing through the two intercepts is given by:
\(\[\frac{0-(-4)}{2-0}=\frac{4}{2}=2\]\)
Since the line perpendicular to the given line passes through (-4, 4),
we can find its slope as follows:
\(\[\text{slope}=-\frac{1}{2}\]\)
Therefore, the slope-intercept form of the equation of the line f is given by:
\(\[y=mx+b\]\)
Substituting -1/2 for m, we get
\(\[y=-\frac{1}{2}x+b\]\)
Since the line passes through (-4, 4), we can substitute x = -4 and y = 4 to find the value of b.
\(\[4=-\frac{1}{2}(-4)+b\]\[4=2+b\]\[b=2\]\)
Therefore, the slope-intercept equation of the function f is given by \(\[y=-\frac{1}{2}x+2\]\).
Therefore, the required slope-intercept equation of the function f is given by\(\[y=-\frac{1}{2}x+2\]\).
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10. Write as a fraction in its simplest form. show all your working.
Answers
Answer:
419/1000
Step-by-step explanation:
\( \frac{(0.419 \times 1000)}{(1 \times 1000)} = \frac{419}{1000} \)
How do i solve this paper?
I feel like my answers are gone and i need help.
Answers
Answer:
you have it correct sir
Step-by-step explanation:
-) The Student Council is organizing a field trip to a skating rink for 50 students. They
pay the rink $475 to cover the rental fees for one pair of skates and one locker for
each student. The rental fee for one pair of skates is $6.
4) Which quantity is unknown?
) the rental fee for a locker
) Letr equal the rental fee for one locker. Write an equation that
represents the situation.
Answers
The quantity that is unknown in this situation is the rental fee for one locker, or "r" and the equation is as follows: 50 * ($6 + r) = $475
To write an equation that represents the situation, you can use the information given in the problem. The total cost of the field trip, $475, covers the rental fees for 50 students, and the rental fee for one pair of skates is $6. Since the cost of the field trip is the sum of the rental fees for one pair of skates and one locker for each student, you can write an equation as follows:
50 * ($6 + r) = $475
This equation represents the situation in which the Student Council is organizing a field trip for 50 students, and the total cost of the field trip is the sum of the rental fees for one pair of skates and one locker for each student. The unknown quantity, "r", represents the rental fee for one locker.
Therefore, The quantity that is unknown in this situation is the rental fee for one locker, or "r" and the equation is as follows: 50 * ($6 + r) = $475
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what are the vertices of the image r(90,0)(BCD)
Answers
Tom reads 42 chapters of a book in 6 hours.
What is his rate in chapters per hour?
Answers
Suppose Aaron is going to build a playlist that contains 5 songs. In how many ways can Aaron arrange the 5 songs on the playlist?
Answers
The number of ways Aaron can arrange the 5 songs on the playlist is equal to 120 ways.
Number of songs = 5
Consider that there are 5 options for the first song.
4 options for the second song since one song has already been used.
3 options for the third song.
2 options for the fourth song.
And only 1 option for the last song.
So the total number of arrangements is equal to,
= 5 × 4 × 3 × 2 × 1
= 120
Alternatively, use the formula for permutations of n objects taken x at a time,
ⁿPₓ= n! / (n - x)!
Here,
The number of songs n = 5
The number of slots on the playlist x = 5
⁵P₅ = 5! / (5 - 5)!
= 5!
= 120 ways
Therefore, the total number of ways Aaron can arrange his 5 songs on playlist is 120.
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D is at the top of a tree 8 meters tall. you are on the ground, 10 meters away from the bird. how far are you
the base of the tree?
710 meters
36 meters
6 meters
v6 meters