Answer:
-39
Step-by-step explanation:
||u|| = sqrt(5² + (-12)²)
= sqrt(25 + 144)
= sqrt(169)
= 13
||cu|| = c ||u||
c = -3
c ||u|| = -3 × 13 = -39
Answer:
-39
Step-by-step explanation:
The magnitude of a vector is given by
|| u|| = sqrt( x^2 + y^2)
= sqrt( 5^2 + (-12)^2)
= sqrt(25+144)
= sqrt(169)
= 13
We are then multiplying by a scalar
||cu|| = -3*13 = -39
Find the missing angle measure of the triangle below
A: 20 degrees
B: 25 degrees
C: 15 degrees
D: 5 degrees
Answer:
Below
Step-by-step explanation:
All three of the interior angles of ANY triangle sum to 180 °
60 + 105 + ? = 180 °
? = 15°
if the number of hot lunches sold at school this week was 1,350 and the relative frequency on friday was 0.22, how many lunches were sold on friday?
296 hot lunches were sold on Friday.
The number of hot lunches sold on Friday can be calculated by multiplying the total number of hot lunches by the relative frequency on Friday:
Hot lunches sold on Friday = 1,350 * 0.22 = 296
What is Relative frequency ?Relative frequency is a measure of the number of times an event occurs in a sample, expressed as a proportion of the total number of events. To find the number of hot lunches sold on Friday, we multiply the total number of hot lunches sold in the week by the relative frequency of Friday. This gives us the number of hot lunches sold on Friday, which is 296 in this case. Understanding relative frequency is important in statistics as it helps to summarize data and understand the distribution of events.
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If P=5x^4+4x-3 and Q=5x^4+3x^3-4x+3, what is p - q
Answer:
-3x^3+8x-6
step
p-q=5x^4+4x-3-(5x^4+3x^3-4x+3)=5x^4+4x-3-5x^4-3x^3+4x-3
=5x^4-5x^4-3x^3+4x+4x-3-3
=-3x^3+8x-6
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer in the box.
The constant proportionality between the x-coordinates and y-coordinates of these four points is 12.
What is Proportionality?
Proportionality refers to the relationship between two quantities that change in a consistent and predictable way. In a proportional relationship, when one quantity changes, the other quantity changes in a constant ratio or proportion to the first.
Assuming that you want to find the constant proportionality between the x-coordinates and y-coordinates of these four points:
First, we can calculate the ratios of the y-coordinates to the x-coordinates for each point:
For (3,36): y/x = 36/3 = 12
For (5,60): y/x = 60/5 = 12
For (6,72): y/x = 72/6 = 12
For (7,84): y/x = 84/7 = 12
We can see that the ratios are all equal to 12. Therefore, the constant proportionality between the x-coordinates and y-coordinates of these four points is 12.
Note that if you had asked for the constant proportionality between the differences in the y-coordinates and the differences in the x-coordinates of these points, the answer would be different. That constant proportionality is known as the slope of the line passing through these points.
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If p=180−0.2D, calculate the optimal profit if the total cost is $30,500.
To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.
To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:
Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).
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Explain, using complete sentences, how to construct a perpendicular bisector to a segment using a compass and straightedge.
A perpendicular bisector is a bisector to a line segment which makes an angle of 90° with the line segment.
A perpendicular bisector is usually constructed by using a compass and a straightedge. It can also be constructed using a protractor.
Construction of perpendicular bisector using a compass and straightedge.
First draw the line segment, lets say AB.Using your compass measure a radius which is more than half of the line segment. We can measure this by keeping the compass ant point A, and take a measure beyond the mid point.Now place the compass at A, and draw an arc with the measured radius.Place the compass at B and draw an arc with the same radius.The arcs meet above and below the line. Take the straightedge and draw a line which passes through both the intersection of arcs.Thus we get the perpendicular bisector.
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9.3 with a bar on top as a fraction
Consider this system of equations.
p=2n
p-5 = 1. 5n
What value of n makes the system of equations true?
Enter your answer in the box.
Therefore, the value of n that makes the system of equations true is n = 10.
Given:
p = 2n
p - 5 = 1.5n
Substituting the value of p from the first equation into the second equation, we have:
2n - 5 = 1.5n
Next, we can solve for n by subtracting 1.5n from both sides of the equation:
2n - 1.5n - 5 = 0.5n - 5
Simplifying further:
0.5n - 5 = 0
Adding 5 to both sides of the equation:
0.5n = 5
Dividing both sides by 0.5:
n = 10
Therefore, the value of n that makes the system of equations true is n = 10.
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A submarine is 45 feet below sea level. The submarine then rises 12 feet. After a while,
the submarine dives another 22 feet. At what depth is the submarine at?
Answer:
55
Step-by-step explanation:
45-12+22
Answer:
55 feet
Step-by-step explanation:
you do 45-12=33+22
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Answer:
To divide mixed fractions, you could first convert each to an improper fraction. Then, switch to a multiplication problem by multiply by the reciprocal of the divisor. Simplify and convert your answer back to a mixed fraction to get your answer!
Answer:
Hi
Step-by-step explanation:
Please pick me
Write an expression that represents the total owed for 4 months of cable at a price of c dollars for each month, plus a one-time equipment fee of $35?
Answer:
4c + 35
Step-by-step explanation:
What every the monthly amount is (c) you would multiply that by 4 to find the cost for 4 months and then you have to add in the one time cost of 35
fazer scores 43% in a spelling test, what percentage did he get wrong???
Answer:
57
Step-by-step explanation:
100 - 43 =
57
Answer:
He got 57% wrong
Step-by-step explanation:
If he got 43% correct, there is 100 percent on the assignment
100 -43 = 57
He got 57% wrong
What is 51⁄6 as an improper fraction? For Seneca Learning:
Answer:
Step-by-step explanation:
\(5\frac{1}{6}=\frac{(5*6)+1}{6}=\frac{31}{6}\)
Answer:
31/6 (improper fraction).
Step-by-step explanation:
5 1/6 = (6 × 5) + 1/6 = 31/6
31/6 is the improper fraction.
determine the average number of planes that will stack up, waiting to land. 2. (2) find the average time a plane must wait in line before it can land. 3. (2) calculate the average time it takes a plane to clear the runway once it has notified the airport that it is in the vicinity and wants to land.
Average number of planes that will stack up waiting to land: This can vary greatly depending on the size of the airport, the number of flights per day, and the number of runways available.
What is average?
Average, mean, median, and norm all refer to something that sits in the middle. The average is the ratio created by dividing the total number of figures in a set by the total number of figures.
To determine the average number of planes that will stack up waiting to land, we need to know the rate at which planes arrive at the airport and the rate at which they are able to land.
Generally, an airport can expect to experience a queue of up to 10 planes waiting to land at peak times.
Average time a plane must wait in line before it can land: This also varies significantly depending on the airport and the conditions. Generally, a plane must wait an average of 5-7 minutes before it is able to land.
Average time it takes a plane to clear the runway once it has notified the airport that it is in the vicinity and wants to land: This time will depend on the size of the airport, the number of planes in the queue, and the amount of time it takes for the plane to taxi off the runway. Generally, a plane can expect to clear the runway in about 2-3 minutes.
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Simplify the expression. (2x5)4
2x20
16x20
16x9
2x625
Answer:
16 x^20
Step-by-step explanation:
(2x^5) ^4
We can separate this into
2^4 * x^5^4
We know that a^b^c = a^(b*c)
16 x^(5*4)
16 x^20
Answer:
The answer is b
Step-by-step explanation:
4. Two TV shows each asked 100 viewers for their ages. For one show, the
mean age of the viewers was 35 years and the MAD was 20 years. For the
other show, the mean age of the viewers was 30 years and the MAD was
5 years.
A sixth-grade student says he watches one of the shows. Which show do
you think he watches? Explain your reasoning. (Lesson 8-12)
Drawing conclusions, predicting the future, or developing an explanation are all examples of reasoning.
Does reasoning mean thinking?Using particular examples to support a sound inference is the process of reasoning. This strategy relies on specific examples 1, 2, and 3 to draw a broad generalisation about the entire case. For instance, my Sony stereo, car radio, television, and video system are all in good working order.
A conclusion, a prediction, or an explanation can be reached by utilising knowledge already at hand in the reasoning process. Deductive, inductive, and abductive techniques of reasoning are three different types.
Deductive, inductive, abductive, and analogous reasoning will be the four types of reasoning we will be concentrating on in this article. A logical, deliberate technique of thinking is reasoning.
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Yo can somebody please help me with this?
Explain what the symbol Z 0.05 represents and state its value: (choose one of the following answers..) a. Z0.05 represents the z-score, the value of the standard normal distribution, at which the probability of being greater than that value is 0.05. The value is Z0.05 =1.65. b. Z0.05 represents the z-score, the value of the standard normal distribution, at which the probability of being less than that value is 0.05. The value is Z0.05 =1.65. c. Z0.05 represents the z-score, the value of the standard normal distribution, at which the probability of being greater than that value is 0.05. The value is Z0.05 =2.58. d. Z0.05 represents the z-score, the value of the standard normal distribution, at which the probability of being less than that value is 0.05. The value is Z0.05 =2.58.
Option 'a' is the correct answer.
Z0.05 represents the z-score, the value of the standard normal distribution, at which the probability of being greater than that value is 0.05. The value is Z0.05 =1.65.
In a normal distribution, data points are referred to as x, whereas in a z-distribution, they are referred to as z or z scores. A z score is a standard score that indicates how many standard deviations a given number (x) is from the mean:
If your x value is higher than the mean, your z score will be positive.If your z score is negative, it indicates that your x value is below the meanYour x value is the same as the mean if your z score is zero.Every z score has a corresponding p-value that indicates the likelihood that all values below or above that z score will occur.
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What are some good studying methods? I have an exam in a week and I don't even know what my teacher taught me.. How do I teach myself and memorize 9 topics in a week?
Answer:
lol i would listen to music or do/stay somewhere comfortable it helps me
Step-by-step explanation:
HELP ASAP WILL GIVE brainlist
Answer:
I dont know sorry :(:(:(:(:(:(:(:(:(
Benjamin is selecting embellishments for a child’s dresser. He picks a wooden embellishment, a ceramic embellishment, and a metal embellishment. What is the probability that he picks a cloud, a dog, and a star?
Answer:
B
Step-by-step explanation:
Here is the complete question :
Benjamin is selecting embellishments for a child’s dresser. There are 9 wooden embellishments, 5 ceramic embellishments, and 8 metal embellishments to choose from, shown in the table below. He picks a wooden embellishment, a ceramic embellishment, and a metal embellishment. What is the probability that he picks one of the clouds, one of the dogs, and one of the stars?
Wooden Embellishments Ceramic Embellishments Metal Embellishments
2 hearts 2 cats 3 stars
3 clouds 3 dogs 5 squares
4 birds
A.1/27
B. 3/40
C. 1/9
D.3/8
what is the unit price of $6.90
Answer:
...
Step-by-step explanation:
The unit of $6.90 will be $14.34
ASAP ASAP ASAP
please help me with this
Answer:
b
Step-by-step explanation:
Solve for the variable
2x + 10 = 30
Answer:
x=10
Step-by-step explanation:
30-10=20
20/2=10
2(10)+10=30
Answer:
x=10
Don’t hold me up on this but, I think this is the answer.
I NEED HELP ASAP!!! AND PLEASE EXPLAIN THE BEST YOU COULD!!!!
Let f(x) be a nonnegative smooth function (smooth means continuously differentiable) over the interval [a, b]. Then, the area of the surface of revolution formed by revolving the graph of y f(x) about the x-axis is given by
S= b∫a πf(x)1√+[f′(x)]^2 dx
The formula for the surface area of revolution, S, formed by revolving the graph of y = f(x) about the x-axis over the interval [a, b], is given by S = ∫(a to b) 2πf(x) √(1 + [f'(x)]^2) dx.
To calculate the surface area of revolution, we consider the small element of arc length on the graph of y = f(x). The length of this element is given by √(1 + [f'(x)]^2) dx, which is obtained using the Pythagorean theorem in calculus. We can approximate the surface area of revolution by summing up these small lengths over the interval [a, b]. Since the surface area of a revolution is a collection of circular disks, we multiply the length of each element of arc by the circumference of the disk formed by revolving it, which is 2πf(x). Integrating this expression from a to b, we obtain the formula for the surface area of revolution:
S = ∫(a to b) 2πf(x) √(1 + [f'(x)]^2) dx.
This formula takes into account the variation in the slope of the function f(x) as given by f'(x), ensuring an accurate representation of the surface area of revolution. By evaluating this integral, we can determine the precise surface area for the given function f(x) over the interval [a, b].
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A student is constructing a triangle with the following
dimensions:
side length of 10 inches
side length of 30 inches Which measurements could be the length of the third
side? Select all that apply.
19 inches
0 21 inches
0 35 inches
45 inches
50 inches
Answer:
21,35
Step-by-step explanation:
Consider the polynomials p1(t) = 1 + t , p2(t) = 1 -t , and p3(t) = 2 (for all t). By inspection, write a linear dependence relation among p1, p2, and p3. Then find a basis for Span{ p1 , p2 , p3 }.
I've already concluded that the polynomials are linearly dependent since 1p1 + 1p2 + (-2)p3 = 0. It's the second part that I'd like help with.
The basis for Span{ p1, p2, p3 } is { p1, p2 } or equivalently { 1+t, 1-t }.
To find a basis for Span{ p1, p2, p3 }, we need to eliminate any redundant vectors. In this case, since we already know that p1, p2, and p3 are linearly dependent, we can remove one of them from the set and still have the same span.One option is to remove p3, since it is a constant polynomial and doesn't add any new information. So we are left with Span{ p1, p2 }.Learn more about polynomials: https://brainly.com/question/31132909
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the first step in developing a competency model is:
The first step in developing a competency-model is to gather background information and analyze the existing standards within the workplace.
The first-step involves conducting a thorough examination of the organization's goals, strategies, and the specific job roles or positions for which the competency-model will be developed.
By gathering background information, organizations can understand the context in which the competency-model will be applied.
Analyzing existing standards within the workplace involves assessing the current performance expectations, competencies, and criteria used for evaluating employees in their respective roles.
The purpose of this step is to identify any gaps or areas for improvement in the existing standards and to ensure that the development of the competency model aligns with the organization's overall objectives.
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The first step in developing a competency model is conducting a job analysis.
developing a competency model is a systematic process that helps organizations define the key competencies needed for their employees. The first step in this process is conducting a job analysis.
A job analysis involves gathering information about the job, such as its purpose, tasks, responsibilities, and required qualifications. This information can be collected through methods like interviews, observations, and surveys. By analyzing the job, organizations can identify the critical competencies that are necessary for effective job performance.
These competencies can then be used to guide various HR processes, including recruitment, selection, training, and performance management. By aligning the competencies with job requirements, organizations can ensure that they have the right people with the right skills in the right positions.
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find minimum number of coins that make a given value
The given coins [1, 2, 5] and the value 11, the minimum number of coins needed is 2.
Here are the steps to find the minimum number of coins:
1. First, we create an array of size equal to the given value, initialized with a very large number. This array will store the minimum number of coins needed to make each value from 0 to the given value.
2. We set the first element of the array to 0, as it doesn't require any coins to make a value of 0.
3. Next, we iterate through all the coins available and for each coin, we iterate through all the values from the coin value to the given value.
4. For each value, we calculate the minimum number of coins needed by taking the minimum of the current minimum and the value obtained by subtracting the coin value from the current value and adding 1 to it.
5. Finally, we return the value stored in the last element of the array, which represents the minimum number of coins needed to make the given value.
Let's consider an example to better understand the process:
Given coins: [1, 2, 5]
Given value: 11
1. Initialize the array with [INF, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF] (INF represents infinity).
2. Set the first element of the array to 0, so it becomes [0, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF, INF].
3. For the first coin (1), iterate through the array from index 1 to 11.
- For index 1, the minimum number of coins needed is 0 + 1 = 1.
- For index 2, the minimum number of coins needed is 0 + 1 = 1.
- For index 3, the minimum number of coins needed is 0 + 1 = 1.
- ...
- For index 11, the minimum number of coins needed is 0 + 1 = 1.
The array becomes [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1].
4. For the second coin (2), iterate through the array from index 2 to 11.
- For index 2, the minimum number of coins needed is 1 (minimum of 1 and 0 + 1 = 1).
- For index 3, the minimum number of coins needed is 1 (minimum of 1 and 0 + 1 = 1).
- For index 4, the minimum number of coins needed is 1 (minimum of 1 and 1 + 1 = 2).
- ...
- For index 11, the minimum number of coins needed is 1 (minimum of 1 and 1 + 1 = 2).
The array becomes [0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2].
5. For the third coin (5), iterate through the array from index 5 to 11.
- For index 5, the minimum number of coins needed is 2 (minimum of 2 and 0 + 1 = 1).
- For index 6, the minimum number of coins needed is 2 (minimum of 2 and 1 + 1 = 2).
- ...
- For index 11, the minimum number of coins needed is 2 (minimum of 2 and 2 + 1 = 3).
The array becomes [0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 2].
6. The minimum number of coins needed to make the given value (11) is 2.
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