Determine the component representation and magnitude of the vector having the initial point P and the terminal point Q.
P(-3,2) and Q(5,17)
The component representation of the vector having the initial point P and the terminal point Q is....
The magnitude of the vector having the initial point P and the terminal point Q is ....
Answers
The magnitude of the vector having the initial point P and the terminal point Q is 17.
What is magnitude ?
Simply said, "distance or amount" is the definition of size. In terms of motion, it shows the absolute or relative size, direction, or movement of an item. It is used to describe something's size or scope. Magnitude in physics often refers to a size or amount.
Given: p (- 3,2) , q (5,17)
vector = (17-2)i + (5+3)j
= 15i + 8j
Magnitude = \(\sqrt{(15^{2}+8^{2} ) }\)
magnitude =17
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Related Questions
Ron made 2/3 of a quart of hot chocolate. Each mug holds 1/3 of a quart. How many mugs will Ron be able to fill?
Answers
Answer: 2 mugs
Step-by-step explanation: If we divide 2/3 by 1/3 we multiply by the reciprocal
2/3 x 3/1
the threes cancel and you are left with two
= two mugs
Misha and Dontavious were asked to solve the following problem using linear programming.
A local school district can operate a large bus for $300 per day and a small bus for $200 per day. The district needs to arrange transportation for at least 360 students for a field trip and has enough chaperones to have one chaperone per bus for up to 7 buses. Each large bus can hold 60 students and each small bus can hold 45 students. What is the minimum cost for the transportation for the field trip?
Misha decided the following represented this situation:
Let x = number of large buses
Let y = number of small buses
Objective Fx: C=300x+45y
Constraints:
200+60y≥360
x+y≤7
x≥0
y≥0
Dontavious decided the following represented this situation:
Let x = number of large buses
Let y = number of small buses
Objective Fx: C=300x+200y
Constraints:
60x+45y≥360
x+y≤7
x≥0
y≥0
Decide which student set up the correct Objective function and Constraints and using that information answer the following:
a) What are the vertices for the correct feasible region?
b) What is the minimum cost for transportation for the field trip and how did you arrive at this cost?
Answers
The correct function was: Dontavious
The constraints are the number of students at least 360 and the number of buses up to 7.
Dontavious wrote the appropriate inequalities. cost is $300 for large buses and $200 for small buses. and the constraints are the number of students per bus.
a) The feasible region is where the solution spaces overlap: this creates a small triangular area with the vertices at (6, 0), (7, 0) and (3, 4).
(6, 0), (7, 0), (3, 4)
b) 3 large buses and 4 small buses would cost 3*300 + 4*200 = $1700
6 large buses and 0 small buses would cost 6*300 = $1800 dollars
The cheapest solution would be 3 large buses and 4 small buses which would cost $1700
f(x) = x + 2
g(x) = 3x² - 5
Find (f.g)(x).
OA. (f g)(x) = 3x³ - 10
OB. (f g)(x) = 3x³ + 6x² - 5x - 10
OC. (f. g)(x) = 3x³ + 10
OD. (f g)(x) = 3x³ + 6x² + 5x + 10
SUBMIT
Answers
Answer:
It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10
Step-by-step explanation:
In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.
• Take the products of both functions.
f(x)g(x) = 3x²+5 • x-2
• Next, expand the functions. We expand by combining like terms.
= 3x^3 - 6x^2 + 5x - 10
Since the function cannot be simplified further, this leads to option B being our answer.
Hope this helps!
A normal population has mean and standard deviation . (a) What proportion of the population is greater than ? (b) What is the probability that a randomly chosen value will be less than .
Answers
Answer:
0.0171
0.89158
Step-by-step explanation:
Given :
μ = 60
Standard deviation , σ = 17
The probability that a randomly chosen score is greater than 96;
P(Z > Zscore)
Zscore = (score, x - μ) / σ
Zscore = (96 - 60) / 17 = 2.118
P(Z > 2.118) = 1 - P(Z < 2.118) = 1 - 0.9829 = 0.0171
The probability that a randomly chosen score is less than 81;
P(Z < Zscore)
Zscore = (score, x - μ) / σ
Zscore = (81 - 60) / 17 = 1.235
P(Z < 1.235) = 0.89158
What is a benefit of obtaining a personal loan?
getting money with special repayment terms
getting money with favorable interest rates
getting small amounts of money
to use immediately
getting large amounts of money to use immediately
Answers
The benefit of obtaining a personal loan is getting large amounts of money to use immediately.
Option D is the correct answer.
What is a personal loan?A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.
We have,
The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.
However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.
Thus,
The benefit of obtaining a personal loan is getting large amounts of money to use immediately.
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least to greatest
-8.2, 0.4, -2 1/2, 2.4
Answers
Answer:
-8.2, -2 1/2, 0.4, 2.4
Step-by-step explanation:
Just follow this answer
He ran 1/4 the length of his road, which is 7 miles long. How far did he run
Answers
Answer:
I'm not sure what form the question asks for but any of these would be correct:
7/4 miles
1 3/4 miles
1.75 miles
Step-by-step explanation:
just simply divide by 4
or multiply it by 1/4
(Same thing)
Suppose 96% of students chose to study Spanish their freshman year, and that meant that there were 504 such students. How many students chose not to take Spanish their freshman year?
Answers
Answer: pls mark brainliest
20.24 students
96 percent of 506 is 485.76
506 - 485.76 = 20.24
Corresponding Angles are congruent.
Which angle corresponds with <3?
Answers
Answer:
angle 3 is corresponding angle is angel 8
The seats available to a baseball game come in four types: bleacher, box, club, and grandstand. There are 12,600 box seats and 5,400 club seats available. According to the graph, what is the total number of seats available?
Answers
The total number of seats available for the baseball game can be calculated by adding the number of box and club seats available whch is found to be 25,200.
What is the game of baseball?The game of baseball can be used to teach various mathematical concepts, such as probability, statistics, graphing, estimation, and basic arithmetic. The game can also be used to introduce concepts such as geometry and trigonometry, as well as to build problem-solving skills.
The total number of seats available can be calculated by adding the number of box and club seats available, which is
12,600 + 5400 = 18,000.
This total can then be multiplied by the respective percentages of the other two categories to get the total number of seats available.
For instance, the total number of bleacher seats available can be calculated by multiplying 12,000 by 18%.
12,000 x 0.18 = 2,160
Similarly, the total number of grandstand seats available can be calculated by multiplying 12,000 by 42%.
12,000 x 0.42 = 5,040
Hence, the total number of seats available for the baseball game is
18,000 + 2,160 + 5,040 = 25,200.
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The probability that a 28-year-old male in the U.S. will d!e within one year is approximately 0.001395. If an insurance company sells a one-year, $20,000 life insurance policy to such a person for $135, what is the company's expectation? (Round your answer to the nearest dollar.)
Answers
Answer:
Step-by-step explanation:
Expected payment= 0.001395*20000= 27.9
The company could expect to make 135-27.9= 107.1 or 107
-(-v+y)-4(2y-4v)
How do I simplify this?
Answers
Step-by-step explanation:
hope you understand.
first simplify it by arranging correct signs then it's just subtraction or addition.
Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per week. Write an equation for L,L, in terms of t,t, representing the amount Ariana owes her friend after tt weeks.
Answers
Answer:
150=15w
Step-by-step explanation:
w=weeks
150/15=10 weeks
What quadrant is point A located in?A.quadrant IB.quadrant IIC.quadrant IIID.quadrant IV
Answers
Hello there. To solve this question, we'll have to determine in which quadrant is the point A located at.
For this, we have to remember some properties about the R² plane:
It is divided by two perpendicular lines, namely origin for x = 0 and the y-axis, into 4 quadrants. Their orientation is counterclockwise, called positive orientation.
There is a rule of signs that helps you remember the quadrants:
Therefore we can determine the location of the point A easily.
As you can see, the coordinates of the point A are (-4, 5) and, therefore, it means the point A is located at the second quadrant.
The correct answer is then contained in the option B).
the correct answer.
Which inequality represents the values of that ensure triangle ABC exists?
A
2x+4
B
O D.
18
OA.
<< 1
OB. -< < ¹
O c. 1 < x < 5
6x
2 < < 6
Answers
The Inequality which ensure triangle exists is A. 7/4 < x < 11/2
What is the inequalityInequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."
Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.
Theorem used In ΔABC,
AB + BC >AC
AC+ BC >AB
AC + AB > BC
According to the question,
In triangle ABC.
AC = 18units
BC = 6x units,
AB = 2x + 4 units
Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.
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7 root 3 by 3 minus 3 root 2 by root 15 minus 3 root 2 minus 2 root 5 by root 6 + root 5
Answers
Answer:
Hill doctoral tricot trivial paint Tahiti he who Olney of Accokeek if Dogtown k park pectin rabbit tabernacle numbed.
tina is training for a biathlon. To train for the bicycle portion, she rides her bike 15 miles uphill and 15 miles back down. the complete trip takes her 2 hours. If her downhill speed is 20 miles per hour fadter than her uphill speed how fast does dhe ride uphill?
Answers
Answer:
Step-by-step explanation:
Tina is training for a biathlon. To train for the running portion of the race, she runs 7 miles each day over the same course. The first 4 miles of the course is on level ground, while the last 3 miles is downhill. She runs 3 miles per hour slower on level.
If the die above is rolled 180 times, predict the number of times it would land on a multiple of 3.
Answers
Answer:
C.The die would land on a multiple of 3 exactly 60 times.
Step-by-step explanation:
Hope this helps! If it did, mark brainliest, please!
What is the distance between the points (7,5) (4,9)
Answers
The Distance will be 5.
The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.
Let point (7,5) be A and point (4,9) be B
Distance formula =
Ab = √(x1- x2) ² + (y1 -y2) ²
Then Distance AB will be
Ab = √(7-4) ² + (5 -9) ²
= √ 3² + 4²
= √ 9 + 16
= 5
Hence the distance will be 5.
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The points \((7,5)\) \((4,9)\) are separated by a distance of \(5\) units.
The distance between the two points is given by the length of the segment between them.
The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).
The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.
Use the distance formula to get the distance between two places.
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
In the posted query,
\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)
Distance formula,
\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)
\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)
\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)
\(d = \sqrt{ 9+16 }\)
\(d = \sqrt{ 25 }\)
\(d = 5\)
Therefore, the points \((7,5)\) \((4,9)\) are at a distance of \(5\) units.
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A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold?
Answers
A store sells 5 oranges and 10 apples.
What is the cost amount?
The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.
Here, we have
Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.
We have to determine how many of each type of fruit were sold.
We, let the oranges be x.
let the apples be y.
x + y = 15...(1)
1x + 2y = 25...(2)
We subtract equation(2) from equation(1), we get
y = 10
Now we put the value of y in equation (1) and we get
x + 10 = 15
x= 5
Hence, a store sells 5 oranges and 10 apples.
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PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!!!!!!!!
here are some screenshots to help figure out the area of the figure!
thank you in advance!
btw im giving out 100 points and a brainlest so make sure to answer correctly.
Answers
Answer:
10
Step-by-step explanation:
I found the anser by multiplying 5 * 4 = 20, and then multiplying 2 * 2 = 4, then 3 * 2 = 6. Next you add 6 and 4, which equals 10. Finally you subtract 10 from 20 to find your answer of ten.
Hope this helps
PPEASE HELPPPPPPPPP!!!!
Answers
this is the answer because each graph has a straight line
determine whether each relationship is proportional by graphing on the cordinate plan. Explain your reasoning.
Answers
Answer:
It would be proportional.
Step-by-step explanation:
Every 2 numbers on the X value, The y vaulue goes up by 20. It is the same number that it is inreasing by each time.
Solve for c
Can you pls help me??
Answers
Answer:
5(c+3)=85
divide both sides by 5
c+3=17
taking 3 to the other side gives us -3
c=17-3
c=14
write the place value of 1.059 each decimal
Answers
Answer:
1 x 1+0 x 1/10+5 x 1/100+9 x 1/1000
Step-by-step explanation:
Explanation:
4
MP.1 Make Sense and Persevere Alicia
measured 1/4 yard of the Blue Diamonds fabric and5/6
yard of the Yellow Bonnets fabric to make a quilt.
Rename each length of fabric. Use the number of
inches in a yard as a common denominator.
HINT: 1 yard = 3 feet; 1 foot = 12 inches
Answers
Alicia made a quilt using 9 inches of Blue Diamonds fabric and 30 inches of Yellow Bonnets fabric.
Describe the length.The end-to-end measurement or size is called the length. In other words, the larger of the two or three dimensions of a geometric shape or object. For example, the length and width of a rectangle define its dimensions. In the international size system, length is also a dimensional distance quantity.
Blue Diamond fabric is 1/4" x 36" or 9" quarter yards.
5/6 yards of yellow bonnet fabric equals 5/6 x 36 inches or 30 inches.
Alicia made the quilt using 9 inches of Blue Diamonds fabric and 30 inches of Yellow Bonnets fabric.
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a 25 foot rope was cut into 2 pieces with the length being a ratio of 5 to 12.
how many feet long was the shorter piece
Answers
Answer: The short piece is approximately 7.5 feet
Step-by-step explanation: Since the 25 foot rope was cut into 2 pieces and the ratio is 5 to 12, that means the total amount would be 17. 25/17 rounded to the nearest tenths is 1.5. We then multiply 5 by 1.5 because 1.5 is the unit resulting in 7.5. This shows that the shorter piece is approximately 7.5 feet. Hope this helps
1. The community center is putting on a play. There are several things the crew members have to create for the
scenery
(a) They spent $4.24 on each of 7 poster boards. How much did they spend on poster boards in total?
Show your work
(b) They spent $190.08 total on new lighting. Each of the four lights cost the same amount. How much
did they pay per light? Show your work
(c) If the total budget was $300, how much more can they spend? Show your work
Answers
Answer:
a) $29.68
b) $47.52
c) $80.24
Step-by-step explanation:
a) $4.24 x 7 = $29.68
b) $190.08 / 4 = $47.52
c) Total Spent = $29.68 + 190.08 = $219.76
Total Budget = $300
$300 - $219.76 = $80.24
They spend on poster boards in the total amount of $29.68, they paid per-light cost was $47.52 and they can spend more amount of $80.24.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
They spent $4.24 on each of the seven poster boards.
The total amount of spend = cost × quantity
The total amount of spend = $4.24 × 7
The total amount of spend = $29.68
They spent $190.08 total on new lighting.
cost of each light = total amount of spend / quantity
cost of each light = $190.08 / 4 = $47.52
Total Spent = $29.68 + 190.08 = $219.76
The total Budget is $300 which is given in the question
$300 - $219.76 = $80.24
Therefore, they spend on poster boards in the total amount of $29.68, they paid a per-light cost was $47.52 and they can spend more amount of $80.24.
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A maintenance warranty for solar heaters cost $50 a month plus a one time $15 processing fee. Complete the table to determine the total cost for different number of months.
Answers
Answer:
50+15=65
Step-by-step explanation:
I know because it says total
What is 34% as a fraction
Answers
Answer:
17/50
Step-by-step explanation:
34%=17/50
Answer:
17/50
Step-by-step explanation:
make sure to wear your mask in public!
drink enough water! <3