MATHEMATICS COLLEGE

Which relationships hold true for the sum of the magnitudes of vectors u and v, which are perpendicular?

Answers

Answer 1

Answer:

it is

B) ||u+v|| = sqrt ||u||2 + ||v||2

AND

D) ||u+v|| less than ||u||+||v||

Answer 2

Answer:

check the picture below.

notice, the sum of u+v yields the red vector, and its magnitude is smaller than the sum of the other two green ones.

Related Questions

Which fractions are equivalent to the fraction below? Check all that apply.3/4 ??
The accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who were vegans and another sample of such women who were omnivores.Diet Sample Size Sample Mean Sample SD Vegan 85.00 5.20 1.08Omnivore 91.00 5.65 1.10 Calculate a 99% CI for the difference between the population mean total cholesterol level for vegans and population mean total cholesterol level for omnivores. (Use μvegan−μomnivore). Round to three decimal places.)Interpret the interval.a. We are 99% confident that the true average cholesterol level for vegans is less than that of omnivores by an amount within the confidence interval.b. We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount within the confidence interval.c. We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount outside the confidence interval.d. We cannot draw a conclusion from the given information.
the probability of a particular digit is more than 8%. the graph represents the situation. which values are included in the solution set? check all that apply
Suppose I claim that the average monthly income of all students at college is at least $2000. Express H0 and H1 using mathematical notation, and clearly identify the claim and type of testing.
Michael started a savings account with $300. After 4 weeks, he had $350 dollars, after 9 weeks, he had $400. What is the rate of change of money in his savings account per week?

-8.9(-3.1) what is the product

Answers

Answer:

27.59

Step-by-step explanation:

Just multiply.

.
What is the y intercept of the line represented by the equation
3x+2y = 6?

Answers

Answer:

Step-by-step explanation:

To identify the y-intercept represented by the given equation, we need to get the equation into slope-intercept from:

$y=mx+b$

$m=slope$

$b=y-intercept$

Start with:

$3x+2y=6$

Subtract $3x$ from both sides of the equation:

$2y=-3x+6$

Divide both sides of the equation by the coefficient of $y$ , which is $2$ :

$y=-1.5x+3$

Identify the y-intercept:

$b=3$

Jenna must run a total of 12 miles on Monday.Jenna ran 3 5/6 miles in morning and 4 1/12 miles in the afternoon.
How many miles does Jenna still need to run before the end of the day?
•1 9/12
•4 1/12
•7 11/12
•5 5/12

Answers

Jenna would need to fun 4 1/12 miles before the end of the day.
12-3 5/6= 8 1/6
8 1/6-4 1/12= 4 1/12

hope that helps!

Consider the statement “Worldwide, there are more than $2.5 trillion in credit card transactions annually.”What is the daily average dollar amount of transactions? Round to the nearest hundred million dollars.

Answers

The daily average dollar amount of transactions where there are 2.5 trillion in credit card transactions annually is 6.8 billion.

Given data:

To calculate the daily average dollar amount of transactions, we'll divide the annual total by the number of days in a year.

Annual credit card transactions: $2.5 trillion

Number of days in a year: 365

Daily average dollar amount of transactions = Annual transactions / Number of days

= $2.5 trillion / 365

Now let's perform the calculation:

Daily average dollar amount = $2.5 trillion / 365

On simplifying the equation:

Daily average dollar amount ≈ $6.849 billion

Rounded to the nearest hundred million dollars, the daily average dollar amount of credit card transactions is approximately $6.8 billion.

Hence, the daily average dollar amount of credit card transactions is approximately $6.8 billion.

To learn more about equations, refer:

brainly.com/question/19297665

#SPJ3

Answer:

3 trillion

Step-by-step explanation:

because just do the math bu bl I really dk

What are the x and y components of a vector a with arrow in the xy plane if its direction is 170° counterclockwise from the positive direction of the x axis and its magnitude is 8.8 m?

Answers

The rectangular coordinates of polar vector (r, θ) are (r·cos(θ), r·sin(θ)). For your (r, θ) = (8.8, 170°), the rectangular coordinates are

... (8.8·cos(170°), 8.8·sin(170°)) ≈ (-8.666, 1.528)

The average starting salary of this year's vocational school graduates is $35,000 with a standard deviation of $5,000. Furthermore, it is known that the starting salaries are normally distributed. What are the minimum and the maximum starting salaries of the middle 95% of the graduates

Answers

Answer:

Minimum: $25,200

Maximum: $44,800

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu = 35000, \sigma = 5000$