The vector ~v represents the displacement vector from Portland, Oregon to Houston, Texas. The vector w~ represents the displacement vector from Houston, Texas to Akron, Ohio. Use the vectors ~v and w~ to answer the following questions:
a. What is the displacement vector Of a plane which flies from Akron, Ohio to Houston, Texas?
b. In order to fly home from Portland to Akron I have a layover in Houston. Find a vector which describes my total displacement over the whole trip.
c. It is approximately 3000 km from Portland to Houston. It is approximately 5500 km from Anchorage, Alaska to Houston. A plane flies in a straight line from Houston to Anchorage and during the flight it passes directly over Portland. Find a vector which describes the displacement of the plane.
Answers
Answer:
a
the displacement of the plane is \(- \= w\)
b
The displacement of plane from Portland to Akron with layover at Houston is
\(\= v + \= w\)
c
the vector which defines this displacement is \(\= v + \= w =- 2500 \ km\)
Step-by-step explanation:
From the question we are the
The displacement from Portland, Oregon to Houston, Texas. is \(\= v\)
The displacement from Houston, Texas to Akron, Ohio. is \(\= w\)a
a
The motion of the plane in question a is in the opposite direction to vector \(\= w\)
So the displacement of the plane is \(- \= w\)
b
The motion of Portland to Houston to Akron is in the direction of both vector \(\= v\) and \(\= w\) so
The displacement of plane from Portland to Akron with layover at Houston is
\(d = \= v + \= w\)
c
From the question we are told that the plane flies over Portland to get to Anchorage, Alaska which implies that it is moving in opposite direction to the vector \(\= v\)
Give that distance from Portland to Houston is \(\= v = 3000 km\)
and the distance from Portland to Anchorage is \(\= w = - 5500\)km
Then the vector which defines this displacement is mathematically represented as
\(\= v + \= w = 3000 -5500\)
\(\= v + \= w =- 2500 \ km\)
Related Questions
HELP ME PLEASE!!! How can you rewrite 5x - 3x to an addition expression? And what is the expression 5x - 3x in standard form?
Answers
#1) Line j contains points (-3,5) and (6,-1). If line p is PERPENDICULAR to linej,
what is the slope of line p? (Must reduce fraction) *
-3/2
3/2
9/4
- 2/3
Answers
(-1-5)/(6+3) = -6/9 = -2/3
Perpendicular = opposite sign and reciprocal slope
Solution: 3/2
(PEPPER FOOD DELIVERY) PLEASE READ FIRST
I just need to know how to do the math to answer the question. In the picture I am sending, it is not the full chart, but shows all the sections that are in it. I JUST NEED TO KNOW HOW TO DO THE MATH to answer this big question. DO NOT give me an answer because I did not provide all of the data to do the whole math problem since I can only post one photo at a time, just please tell me what I need to do for each part of this big question to properly answer it thats all.
following types of accounts (link):
• Asset Liability Equity • Revenue Expense $ J Calculate the following items using formulas in Excel (link)
• Total assets as of January 31, 2020 (put formula in Cell C84)
• Total liabilities as of January 31, 2020 (put formula in Cell 085) Revenues for the month ending January 31, 2020 (put formula in Cell C89) Expenses for the month ending January 31, 2020 (put formula in Cell C90)
• ● 4 • Net income for the month ending January 31, 2020 (put formula in Cell C91) Equity as of January 31, 2020 (put formula in Cell C86)Hint: Equity will be Common Stock + Retained Earnings + Net income - Dividends
4. Total liabilities and equity as of January 31, 2020 (put formula in Cell C87)Using your Excel worksheet and your answers to Requirement 2, answer the following questions:
a. What would the accounting equation (link) for Pepper Food Delivery be as of January 31, 2020?
b. What accounts would be found on Pepper Food Delivery's balance sheet (link) as of January 31, 2020?
c. What accounts would be found on Pepper's income statement (link) for the month ended January 31, 2020?
d. Did Pepper Food Delivery have a profitable month? How do you know?
e. What is the total amount that Pepper Food Delivery owes as of January 31, 2020?
4. What was Pepper Food Delivery's largest total expense for January?
Answers
1. Total assets as of January 31, 2020 (put formula in Cell C84):
To calculate the total assets, add up all the values under the asset column. The formula for cell C84 would be "=SUM(B4:B81)" (assuming that the assets start from row 4 and end at row 81).
2. Total liabilities as of January 31, 2020 (put formula in Cell C85):
To calculate the total liabilities, add up all the values under the liabilities column. The formula for cell C85 would be "=SUM(B87:B99)" (assuming that the liabilities start from row 87 and end at row 99).
3. Revenues for the month ending January 31, 2020 (put formula in Cell C89):
To calculate the total revenue for the month of January, add up all the values under the revenue column. The formula for cell C89 would be "=SUM(B66:B81)" (assuming that the revenues start from row 66 and end at row 81).
4. Expenses for the month ending January 31, 2020 (put formula in Cell C90):
To calculate the total expenses for the month of January, add up all the values under the expense column. The formula for cell C90 would be "=SUM(B51:B64)" (assuming that the expenses start from row 51 and end at row 64).
5. Net income for the month ending January 31, 2020 (put formula in Cell C91):
To calculate the net income, subtract the total expenses from the total revenues. The formula for cell C91 would be "=C89-C90".
6. Equity as of January 31, 2020 (put formula in Cell C86):
To calculate the equity, add up the values of common stock, retained earnings, and net income, and then subtract the value of dividends. The formula for cell C86 would be "=B3+B84+C91-B101" (assuming that the values for common stock, retained earnings, net income, and dividends are in cells B3, B84, C91, and B101, respectively).
7. Total liabilities and equity as of January 31, 2020 (put formula in Cell C87):
To calculate the total liabilities and equity, add up the values of liabilities and equity. The formula for cell C87 would be "=C85+C86".
Using the results from the above calculations, the questions can be answered as follows:
a. What would the accounting equation for Pepper Food Delivery be as of January 31, 2020?
The accounting equation for Pepper Food Delivery as of January 31, 2020 would be: Assets = Liabilities + Equity
b. What accounts would be found on Pepper Food Delivery's balance sheet as of January 31, 2020?
The balance sheet of Pepper Food Delivery would include assets, liabilities, and equity as of January 31, 2020.
c. What accounts would be found on Pepper's income statement for the month ended January 31, 2020?
The income statement of Pepper Food Delivery for the month ended January 31, 2020 would include revenues and expenses.
d. Did Pepper Food Delivery have a profitable month? How do you know?
To determine if Pepper Food Delivery had a profitable month, check if the net income is positive or negative. If the net income is positive, then the company had a profitable month. If it is negative, then the company had a loss. The result can
You'll need to build Excel formulas using =SUM() function on specified cells in order to calculate total assets, total liabilities, revenue, and expenses. To calculate net income, subtract total expense from total revenue. Calculate Equity by summing common stock, retained earnings, and net income, then subtracting dividends. Finally, sum total liabilities and total equity.
Explanation:To answer these questions, you are required to have Excel skills and basic understanding of business accounting principles. Let's break it down per section:
Total assets as of January 31, 2020. You simply need to calculate the sum of all the Asset accounts for that date. You would use the SUM formula in Excel like this: =SUM(range of cells with asset values). Total liabilities as of January 31, 2020. The same as assets, you calculate the sum of all the Liability accounts for that date. The SUM formula is the same as the one used for assets. The Revenues for the month ending January 31, 2020. This is the total sales the business had during January. Again, use the SUM formula to add all the relevant revenue accounts together. Expense for the month ending January 31, 2020. You should add up all expense account figures within that time frame using the SUM formula. Net income for the end of January. This can be derived by subtracting Total Expenses (C90) from Total Revenues (C89). Equity as of January 31, 2020. This is calculated as common stock, plus retained earnings, plus net income, minus dividends. Total liabilities and equity as of January 31, 2020. This is achieved by summing the total liabilities (C85) and total equity (C86).Learn more about Business Accounting here:
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number 4 plz and thank u
Answers
Answer:
22 weeks
Step-by-step explanation:
it is 22 weeks because if you divide 39 by 2 then it is 19.5 and if you divide 429 by 19.5 you will get 22 hope this helps.
An examination paper has 150 multiple-choice questions of one mark each, with each question having four choices. Each incorrect answer fetches -0.25 mark. Suppose 1000 students choose all their answers randomly with uniform probability. The sum total of the expected marks obtained by all these students is?
Answers
The sum of expected marks is given as follows:
9375.
How to obtain the expected marks?Each question has four choices, hence the probability of choosing the correct choice is given as follows:
p = 1/4 = 0.25.
Then the expected number of correct answers is given as follows:
E(X) = 0.25 x 150
E(X) = 37.5.
Then the expected grade for a single student is given as follows:
37.5 - 0.25(150 - 37.5) = 9.375.
The expected sum for the 1000 students is then given as follows:
1000 x 9.375 = 9375.
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To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3,500, and the commission for each new account opened is $5,000. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account.
(a) Determine the equation for computing Gustin's profit per seminar, given values of the relevant parameters. Profit = (New Accounts Opened × ) –
(b) What type of random variable is the number of new accounts opened? (Hint: Review Appendix 11.1 for descriptions of various types of probability distributions.)
(c) Choose the appropriate spreadsheet simulation model to analyze the profitability of Gustin's seminars. (I) (II) (III) (IV) Would you recommend that Gustin continue running the seminars?
(d) How many attendees (in a multiple of five, i.e., 25, 30, 35, . . .) does Gustin need before a seminar's average expected profit is greater than zero?
Answers
Answer:
a) profit = (new account opened x 5000) -3500
b) Opening account is binomial distribution with n =25 and p = 0.01
c) Probability of loss is 0.77781 --I don't recommend the company that it running the seminar
d) n ≅ 71
Step-by-step explanation:
See attached image
Write down the 3rd term in the sequence given by: T(n) = n2 + 4 pls explain how to do It plsss
Answers
Answer:
T(3) = 13
Step-by-step explanation:
If we are trying to find the 3rd term of this specific sequence, then we simply plug in 3 as n.
T(3) = (3)² + 4
T(3) = 9 + 4
T(3) = 13
However, this isn't proper notation for an arithmetic or geometric sequence.
Answer:
13
Step-by-step explanation:
T(n) = n² + 4
Put n as 3 to find the third term.
T(3) = (3)² + 4
Solve for the powers.
T(3) = 9 + 4
Add the terms.
T(3) = 13
5/12x6/15=30/180
How do I simplify?
Answers
Answer:
0.167
Step-by-step explanation:
if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6
technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167
that should end up being your answer if i did the math right
Answer:
Step-by-step explanation:
5/12 * 6/15 =30/180
1/6=1/6
which is true, Right-hand side is equal to left-hand side
Billy drove 192.5 miles at an average speed of 55 miles per hour. The statement shown represents this situation.
55h = 192.5
What was the total number of hours, h, it took Billy to drive this distance?
A. 4.5
B. 4
C. 3.5
D. 3
Answers
Answer:
C) 3.5 hours
Step-by-step explanation:
55h = 192.5
55h/55 = 192.5/55
h = 3.5 hours
12x +18
:)
6
what’s the work
Answers
Answer:
6(2x+3)
Step-by-step explanation:
12x +18
Factor out 6 from each term
6*2x+ 6*3
6(2x+3)
Answer:
6(2x+3)
Thus 6 is multiplied to get 12x+18
standard form of y=-3 (x-2)²
Answers
Answer:
y = \(-3x^2+12x-12\)
Step-by-step explanation:
(x-2)^2 = (x-2)(x-2) => \(x^2-4x+4\)
now, multiple every term by negative 3 and you get...
-3x^2+12x-12
Hey, can someone help with this, please.
Answers
The values of y and z are 65° and 35.33°, respectively.
What are the values of y and z?
Using the fact that k is parallel to m, we can conclude that the top and bottom angles above and below their intersection, respectively, are supplementary. Therefore:
y + (180 - 65) = 180
y = 65°
Now, using the fact that the opposite angles, the opposite angle of (6z-97)° is also 65°. we can conclude:
6z - 97 +65 = 180
z = 35.33° (rounded to two decimal places)
Therefore, the values of y and z are 65° and 35.33°, respectively.
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An interior designer wants to decorate a newly constructed house. The function f (x) = 49x2 – 200 represents the amount of money he earns per room decorated, where x represents the number of rooms he designs. The function g of x equals one seventh times x represents the number of rooms the interior designer decorates, where x is the number of hours he works.
Part A: Determine the amount of money the interior designer will make decorating the house as a function of hours he works. (5 points)
Part B: If the newly constructed house requires 50 hours of work, how much will the interior designer earn? Show all necessary calculations. (5 points)
Part C: Determine an expression to represent the difference quotient for the function found in Part A. Show all necessary work. (5 points)
Answers
A. x² - 200 gives the amount of money the interior designer will make decorating the house as a function of hours he works.
B. He will earn 1,875 if he works for 50 hours.
C. The difference quotient is equal to 2x.
The solution has been obtained by using functions.
What is a function?
Function is a kind of relation, or rule, that associates a single input with a single, predetermined output.
We are given two functions
f(x) = 49x² – 200
which represents the amount of money he earns per room decorated
g(x) = (1/7)x
which represents the number of rooms the interior designer decorates
A. The amount of money the interior designer will make decorating the house as a function of hours he works will be given by evaluating f(x) in g(x).
So,
f(g(x)) = 49((1/7)x)² – 200
f(g(x)) = x² - 200
B. Since, the house requires 50 hours of work, this means that x = 50.
Substituting this in f(g(x)) = x² - 200, we get
f(g(50)) = 50² - 200
f(g(50)) = 1,875
C. The difference quotient for the function is as follows
\(\lim_{h \to \ 0}\frac{f(x+h) -f(x)}{h}\)
\(\lim_{h \to \ 0}\frac{(x+h)^{2}-200-x^{2}+200}{h}\)
\(\lim_{h \to \ 0}\frac{x^{2} + 2xh + h^{2}-x^{2}}{h}\)
= 2x
Hence, x² - 200 gives the amount of money and he earns 1,875 if he works for 50 hours. The difference quotient is equal to 2x.
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In a School sports day, the number of points the 8th grade team scores is given by 3x + 2y + z,
is the red team; y is yellow team, and z is the blue team. What is the total number of points scored by 10* graders when red scores 3 three points, yellow 5 points, and blue 2 points?
Answers
The total number of points scored is given by the equation A = 23 points
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total points scored be represented as A
Now , the equation will be
Substituting the values in the equation , we get
A = 3x + 2y + z be equation (1)
where x = red team = 3 points
y = yellow team = 5 points
z = blue team = 2 points
So , A = 3 ( 3 ) + 2 ( 5 ) + 2
A = 9 + 10 + 2
A = 21 points
Hence , the equation is A = 21 points
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What is the value of x? Enter your answer in the box. X =
Answers
Answer:
x = 7
Step-by-step explanation:
The triangles shown are similar, so corresponding sides are proportional. In this case, it means we can write the proportion ...
(2x +10)/40 = 3/5
x +5 = 12 . . . . . . . . . multiply both sides by 20
x = 7 . . . . . . . . . subtract 5
Which shows an equation in point-slope form of the line shown?
y−2=34(x+6)
y−4=43(x−2)
y−4=34(x−2)
y+2=43(x+6)
Answers
An equation in point-slope form of the line shown is: C. y - 4 = 3/4(x - 2)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-2 - 4)/(-6 - 2)
Slope (m) = 6/8
Slope (m) = 3/4
At data point (2, 4) and a slope of 3/4, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 4 = 3/4(x - 2)
y - 4 = 3x/4 - 3/2
y = 3x/4 - 3/2 + 4
y = 3x/4 + 5/2
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-1,8,11,-9,5,11 have a mode or is it unimodal bimodal or multimodal
Answers
Answer:
It has a mode of 11
Step-by-step explanation:
A mode is a # in a data set that occurs more then any other one
16/25 divided by 15/8
Answers
Answer:
128/375
Step-by-step explanation:
16/25 divided by 15/8
16/25 X 8/15 = 128/375
suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, state the range in which at least 75% of the data will reside. please do not round your answers.
Answers
At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.
A delivery has at least 89% of its values inside of three of the mean's standard deviation.
We have the following in this problem:
Mean = $3.53
$0.14 is the standard deviation.
Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.
2 standard deviations from the mean.
So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.
At least 75% of the data might very well fall between $3.25 and $3.81.
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Parallel lines
Answers
Answer:
K & M
Step-by-step explanation:
K & M are parallel lines because they are straight and they can't touch each other.
Hope this helped!
BEST GETS BRAINLIEST +POINTS +THANKS PLS HELP
find the measure of ST
Answers
Answer:
ST = 4
Step-by-step explanation:
Answer: ST=4
Step-by-step explanation:
Morre Math HARDDDDDDDD
Answers
Answer:
the person above is right it's 4.5 units
give them the crown
STATS HELP
"The correlation between tuition costs and student loan default rates is negative. This means that as tuition costs get higher, fewer student tend to default on their student loans. Is that possible? What might be going on here?"
Answers
One possibility is that higher tuition costs are associated with attending prestigious or higher-ranked institutions. These institutions often provide better job prospects and higher earning potential for graduates, which can make it easier for them to repay their student loans and avoid default.
Another factor could be the availability of financial aid and scholarships. Higher tuition costs might lead to increased financial aid packages, grants, or scholarships being offered to students, reducing their reliance on loans and ultimately decreasing the default rates.
Additionally, higher tuition costs may deter some individuals from pursuing higher education altogether. Those who are unable to afford the steep tuition fees might choose not to enroll in college, thereby eliminating the risk of defaulting on student loans.
It's important to note that while a negative correlation between tuition costs and student loan default rates might exist, it does not imply a causal relationship. Other factors, such as individual financial literacy, employment prospects, socioeconomic background, and loan repayment options, also play significant roles in determining loan default rates.
Further research and analysis would be required to fully understand the complex dynamics between tuition costs and student loan defaults and to determine the extent to which different factors contribute to this observed correlation.
A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props.
Answers
The required amount of the space available is 0.045 cubic meter.
We need to determine Space inside the steps.
What is volume?The Volume is defined as the mass of object per unit density.
The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2
= 0.06 - 0.015
= 0.045 cubic meter
Hence, the required amount of the space available will be 0.045 cubic meter.
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A store pays a wholesale price of $12.00 for the hat. If they plan to make a 25% profit, what will the retail price of the hat be?
Answers
Answer:
$15Step-by-step explanation:
Wholesale price = $12.00Profit = 25%Retail price is:
12 + 25% = 12*1.25 = $15A dilation is a transformation in which the _____, but not the shape, of a geometric figure is changed.
Answers
no explanation really
like dilation 2x, 2y makes the size bigger but the shapes rhe same
carlos borrowed 26,000 for 5 years at an APR 5.25% what will his monthly payment be?
Answers
Answer:
$568.75.
Step-by-step explanation:
According to the central limit theorem: a. The mean of a sample from a population that is not normally distributed will tend towards a normal distribution if the sample size is large b. The probability of a sample standard deviation will converge towards the population variance as the sample standard deviation increases c. The median of a sample from a population that is normally
Answers
Answer:
a. The mean of a sample from a population that is not normally distributed will tend towards a normal distribution if the sample size is large.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
So, according to the above text, the correct answer is given by option a, that is, if the sample is large, the sampling distribution of the sample mean will be approximately normal, that is, trend towards a normal distribution.
Find a polar equation for the curve represented by the given Cartesian equation. (Use t in lieu of θ in your answer.) x2+y2=8cx
Answers
Answer:
The polar equation of the curve is:
\(r=8c*cos(\theta)\)
Step-by-step explanation:
In polar form x and y could be written as:
\(x=rcos(\theta)\)
\(y=rsin(\theta)\)
Taking the square of each value we have:
Let's recall that \(cos^{2}(\theta)+sin^{2}(\theta)=1\)
\(x^{2}+y^{2}=r^{2}(cos^{2}(\theta)+sin^{2}(\theta))\)
\(x^{2}+y^{2}=r^{2}\)
Then, the cartesian equation is rewritten as:
\(x^{2}+y^{2}=8cx\)
\(r^{2}=8c*rcos(\theta)\)
Therefore, the polar equation of the curve is:
\(r=8c*cos(\theta)\)
I hope it helps you!
Describe how to translate the graph of g(x) = in x into the graph of f(x) = in (-x) +5
Answers
we just need to reflect the graph of g(x) around the y-axis, and then shift the whole graph 5 units upwards.
How to translate the graph?Here we have two functions:
\(g(x) = ln(x)\\\\f(x) = ln(-x) + 5\)
Ok, let's start with g(x), which graph we know. If we reflect it around the y-axis, then the new function will be:
f(x) = g(-x)
If now we shift it up 5 units, then we get:
f(x) = g(-x) + 5
Replacing g(x):
f(x) = ln(-x) + 5
Which is our function
So we just need to reflect the graph of g(x) around the y-axis, and then move the whole graph 5 units upwards.
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