Answers
Answer:
A) u=<9, 7>; v=<8, -2>
B) u+v = <17, 5>
C) 5u-2v = <29, 39>
Step-by-step explanation:
The component form of a 2-dimensional vector is usually written as an ordered pair with the horizontal component listed first. When vectors are added or subtracted, or multiplied by a scalar, the components are treated individually. Angle brackets may be used to signify the ordered pair represents a vector.
__
A.The horizontal and vertical dimensions of each of the vectors can be found by subtracting their coordinates, or by counting grid squares. Up or right is positive. The tail coordinates are subtracted from the head coordinates.
u = <11 -2, 1 -(-6)>
u = <9, 7>
v = <13 -5, 6 -8>
v = <8, -2>
__
B.The sum is the sum of the individual coordinates:
u +v = <9, 7> +<8, -2> = <9 +8, 7 -2>
u +v = <17, 5>
__
C.The weighted sum is the weighted sum of the individual coordinates:
5u -2v = 5<9, 7> -2<8, -2> = <5(9) -2(8), 5(7) -2(-2)>
5u -2v = <29, 39>
_____
Additional comment
Vector operations can often be conveniently done on a calculator by considering them as complex numbers. The vertical component corresponds to the imaginary component of a complex number.
Related Questions
A line intersects the points (3,11) and (-9, -13). What is the slope of the line In simplest form?
Answers
Answer:
m = 2
Step-by-step explanation:
Write the slope formula
Substitute: m = - 13 - 11/ - 9 - 3
Calculate the sum or difference: m = -24 / - 9 - 3
Calculate the sum or difference: m = -24 /-12
Reduce the fraction: m = 2
Answer: m = 2
Answer: m = 2
Step-by-step explanation:
Slope formula = [tex]\frac{y2-y1}{x2-x1}[/tex]
plug in values
[tex]\frac{-13-11}{-9-3}[/tex]
simplify
[tex]\frac{-24}{-12}[/tex]=2
⇒M = 2
Select all the correct measures of center and variation for the following data set.
10, 20, 31, 17, 18, 5, 22, 25, 14, 43
First quartile = 12
IQR = 11
Median = 19
Third quartile = 25
MAD = 7
Answers
Answer:
Median = 19
IQR = 11
Third quartile = 25
Step-by-step explanation:
Just caculate it...
If the diameter of the circle is 14 units, calculate its area: then calculate its circumference
Answers
Answer:
Area: 153.86
Circumference: 43.96
Rewrite this question to make it a statistical question:
How old am I?
Answers
Answer:
“How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages.
House numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated. Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit. If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in the simplest form? A. 1/9 B. 5/72 C. 5/8 D. 2/3
Answers
The value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers, option (B) is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of outcomes = 9×8 = 72
(because the total number of digits excluding 0)
Event A: choosing 8 as the first digit
Event B: choosing a number less than 6 as the second digit
Total favourable outcomes = 1×5 = 5
Because there are total 5 digits that are less than 6 {1, 2, 3, 4, 5}
Probability = 5/72
Thus, the value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers option (B) is correct.
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Answer:
The answer is B I'm pretty sure.
Step-by-step explanation:
Time4Learning 2022 quiz
can someone help me? no fake answers my other questions are also worth 50 points each btw
Answers
Step-by-step explanation:
Let's simplify step-by-step.
(6)(6)x−60x+900
=36x+−60x+900
Combine Like Terms:
=36x+−60x+900
=(36x+−60x)+(900)
=−24x+900
Answer:
=−24x+900
Please help, image below. Thank you!
Answers
A radius extends from the center of the circle to the edge.
If J is the center of the circle, then possible radii are JK, JL, JM, and JN.
Of those options, JN is the only one listed as an answer choice.
Answer: Third option, JN
Hope this helps!
> Next question
Find the last term to make the trinomial into perfect square
x2 – 2x
Answers
Answer:
+ 1.
Step-by-step explanation:
That would be (-2/2)^2
= + 1.
x2 - 2x + 1 = (x - 1)(x - 1)
[tex]\text{If a quadratic expression is a perfect square, then}\\\\~~~~~~~\text{Discriminant = 0}\\\\\implies b^2 -4ac = 0\\\\\implies (-2)^2 -4 c = 0\\\\\implies 4-4c = 0\\\\\implies 4c = 4\\\\\implies c = 1 \\\\\text{Hence, the last term should be 1.}\\\\x^2 -2x +1 = (x-1)^2[/tex]
NEED TO KNOW HOW TO GET ASNWER
The prep cook needs to make 115 sandwiches. Each sandwich contains 3 ounces of chicken salad. The chicken salad comes in a 32-ounce container. How many containers need to be purchased?
Answers
Answer:
you would need 11 containers but you would have some left over.
Step-by-step explanation:
What is the next step?
Answers
Answer: Subtract
Step-by-step explanation: Subtract 237 from 224.
Answer:
74. 25
Step-by-step explanation:
After dropping the 224 you're going to subtract it from 237 which equals 13. With that said, you're going to bring down the 6. From there, it would be 136 divided by 32 which is 4.25. So you're answer is 74 with a remainder of 25.
what is the name of the first female mathematician?
Answers
Answer:
Hypatia was the first female mathmatican
Answer:
Hypatia, (born c. 355 ce—died March 415, Alexandria), mathematician, astronomer, and philosopher who lived in a very turbulent era in Alexandria's history. She is the earliest female mathematician of whose life and work reasonably detailed knowledge exists.
Step-by-step explanation:
GIVING BRAINLIEST
Select the correct answer. Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition?
A. 0
B. 1
C. 2
D. 4
E. infinitely many
Answers
Answer:
Hey!
Your Answer Would Be Option E!
Infinitely Many.
This Is Because:
Each and every one of the four angles/rectangles measures is 90°. Therefore, the number of rectangles that can be constructed using this condition is infinite!
Step-by-step explanation:
A business serves 24 customers with 64 staff to maintain a strong ratio of staff to guests. How many staff members would be
needed if 229 customers are expected? Calculate to the nearest whole number.
Do not put units, only put the number value for your answer.
Answers
Answer:
611
Step-by-step explanation:
[tex]\frac{24 customers}{64 staff} = \frac{229 customers}{? staff}[/tex]
Solve for ? by cross multiplying and isolating ?staff.
You will get (64 x 229) / 24
Your answer will be ~ 611.
help me pleaseeeeeeeeeeeeeeeeeeeeeee
Answers
a. To solve for the greatest common factor (GCF), we can determine the prime factors of 6, which is 2 and 3. Then for the other number, we can do the exact same thing. The prime factors of 8 are 1, 2, and 4. When matching the all the prime factors together, we notice that 2 is in both the prime factors.
This means that the GCF of 6 and 8 is 2.
b. To factor the GCF of 6 and 8, we can use the prime factors of both 6 and 8. That means:
6 + 8 = 2 × (3 + 4).
14 = 14
Using the Data Set {125, 6, 133, 129, 125}, find the standard deviation:
Answers
Hope this helped!
A group of 18 students began raising money for a new community park. If each student reaches the goal of $980, how much will the
group raise toward the park project?
A $17,670
B $17.640
C $17,630 D$17,740
Answers
What is the slope of the line that passes through the points(−8,2) and (-11, 3)? Write your answer in simplest form.
Answers
Answer: -1/3
Step-by-step explanation:
The formula is y2 - y1/ x2 - x1 . So the answer would be -1/3 bc 3 - 2 = 1 and -11 - (-8) = -3.
Y= 3-2=1
X= -11-(-8)= -3
Your slope is (- 1/3)
Find the area of the figure below by first finding the areas of the rectangle and triangles.
Area of the rectangle:
Area of the triangle on the left:
Area of the triangle on the right:
Area of the figure:
Answers
a. The area of the rectangle: 16 units²
b. The area of the triangle on the left: 6 units²
c. Area of the triangle on the right: 10 units²
d. Area of the figure: 32 units²
What is the Area of a Rectangle and a Triangle?Area of a rectangle = (l)(w)Area of a triangle = 1/2bha. l = 4 units
w = 4 units
Area of the rectangle = (4)(4) = 16 units²
b. b = 3 units
h = 4 units
Area of the triangle on the left = 1/2(3)(4) = 6 units²
c. b = 5 units
h = 4 units
Area of the triangle on the right = 1/2(5)(4) = 10 units²
d. Area of the figure = 16 + 6 + 10 = 32 units²
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Answer:
a: 16
b: 6
c:10
d: 32
Step-by-step explanation:
explained already <3
please help please please help
Answers
Answer:
3:2
Step-by-step explanation:
Step-by-step equation: hope this helps!
calculate the value of:
1+3+5+....+43
Answers
Answer 52
URGENT PLEASE HELP!!
Write the equation of the given line in slope-intercept form:
Answers
Answer:
y = -3x - 1
Step-by-step explanation:
The slope intercepts the y-axis at -1, and moves down 3 on the y for every one space right on the x-axis
Please help me. I need to find the limit. I WILL give you BRAINLIEST!
Answers
Answer:
-1
Step-by-step explanation:
The answer of this question is -1
PLS HELP QUICKLY
Data was collected at a pool. It showed that being older does not imply that a swimmer will stay for a shorter or longer amount of time. What is likely true?
There is no correlation between age and length of stay.
There is a correlation between age and length of stay. There may or may not be causation. Further studies would have to be done to determine this.
There is a correlation between age and length of stay. However, there is no causation. This is because there is likely an increase in the length of stay with a decrease in age.
Answers
The true statement is there is no correlation between age and length of stay.
What is correlation?
Correlation is a statistical measure used to measure the relationship that exists between two variables. For example, if the older a child is, the longer he would stay at the pool. it can be said that there is a positive correlation.
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Sheriff Aniskin receives confidential information: the thief with the stolen accordion
has been traveling on a raft for 2 hour 40 minutes from Village Ivanovo toward
Village Sosnovka. Aniskin immediately leaves Sosnovka in a motorboat and travels
upstream toward the raft. Aniskin catches the thief 27 km from Sosnovka. Find the
speed of the raft if the speed of the motorboat in still water is 12 km/h and the
distance from Ivanovo to Sosnovka is 44 km.
Answers
The speed of the raft if the speed of the motorboat in still water is 3 km/h
What is speed?
Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
Let the speed of the raft (current) - r
Speed of motorboat - 12 km/h
The distance between villages - is 44 km
Let the time spent by Aniskin - t
The time the thief was in travel = 2 hr 40 min + t = 2 40/60 + t = 3/8 + t
The distance the thief traveled = 44 - 27 = 17 km
We have the following equations:
r(8/3 + t) = 17
(12 - r)t = 27
Simplify the equations:
r(8/3 + t) = 17 ⇒ rt + 8/3r = 17
(12 - r)t = 27 ⇒ 12t - rt = 27
Add up the equations and solve for r:
rt + 8/3r + 12t - rt = 44
8/3r + 12t = 44
r = 16.5 - 4.5t
Substitute r into the second equation:
(12 - 16.5 + 4.5t)t = 27
4.5t² - 4.5t = 27
9t² - 9t - 54 = 0
Solving we get
t = 3 h
Find r:
r = 16.5 - 4.5*3 = 3 km/h
Therefore the speed of the raft if the speed of the motorboat in still water is 3 km/h
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Paula is wallpapering a wall in her house. The wall is 14 ft x 8 ft with a
doorway that is 3 ft x 6 ft and a window that is 4 ft x 4 ft. How much
area does Paula need to wallpaper?
Answers
Answer:
78 ft^2
Step-by-step explanation:
14x8 - (3x6) + (4×4)
112 - (18+16)
= 78ft^2
what is the area of a circle with 5cm radius
Answers
Answer:
Step-by-step explanation:
The formula to calculate the area of a circle is
[tex]A =\pi r^2[/tex]
This means that if [tex]r = 5 "cm"[/tex], the area is
[tex]A = 5^2\pi " cm"^2 = 25 \pi " cm"^2 =(estimation) 78.539816 " cm"^2[/tex]
Answer:
See below
Step-by-step explanation:
We are given that a circle has a radius of 5 cm
We want to find the area of this circle
The area of a circle is given as [tex]\pi r^{2}[/tex], where r is the radius
As stated above, the radius of this circle is 5; ergo, r =5
We can substitute 5 as r in the formula
A = [tex]\pi r^{2}[/tex]
A = [tex]\pi (5)^{2}[/tex]
Raise 5 to the 2nd power
A = π * 25
A = 25π cm²
If you need your answer in terms of pi (or as an exact answer), the answer would be 25π cm² (don't forget your units!)
However, if your system wants pi approximated, see below:
If your system wants pi to be used as 3.14, then multiply 25 by 3.14; 25 * 3.14 = 78.5 cm²
If your system wants pi to be used as 22/7, then multiply 25 by 22/7; 25 * 22/7 ≈ 78.57 cm²
help me pleaseeeeeeeeeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
Volume
V = w h l
V = 2*15*13
V = 390 ft^3
-------------------------
Surface area
SA = b*h
SA = 15*13
SA = 195
-------------------------
b) Surface area
C) Volume
As an event organizer, you are to host 120guests in a room of dimensions 18m long and 12m wide. You have rectangular tables which are 2m long and 0.75m wide. The number of guests allocated for the top table is 12 and the rest of the guests are on 3springs. NB: cover space is 0.6m i) Sketch the table plan arrangement. ii) Calculate the number of tables required for the top table. iii) Calculate the number of covers on each spring. iv) calculate the number of tables required for each spring. v) What is the purpose of leaving a gangway when arranging tables and chairs for an event?
Answers
length of the table=2m cover space for a guests=0.6m so cover space for top table is 12=12×0•6=7•3(4×2)=8
Step-by-step explanation:
The room, the tables and the guests are illustrations of rectangles and areas.
How many tables are required for the top table?This is calculated using:
Tables = Guest ÷ Guest per top table
So, we have:
Tables = 120 ÷ 12
Evaluate
Tables = 10
Hence, 10 tables are required for the top table
How many covers are on each spring?This is calculated using:
Covers = Number of spring ÷ Cover space
So, we have:
Covers = 3 ÷ 0.6
Evaluate
Covers = 5
Hence, 5 covers are required for each spring
How many tables are required for each spring?This is calculated using:
Tables = Tables for top table ÷ Spring
So, we have:
Tables = 10 ÷ 3
Evaluate
Tables = 3.33
Remove decimal
Tables = 3
Hence, 3 tables are required for each spring
What is the purpose of leaving a gangway when arranging tables and chairs for an event?This is done to allow passage for walkway
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on a piece of paper, graph:
Answers
Answer:
every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false
Y=x^2 – 4x + 5 vertex form please
Answers
Answer:
Step-by-step explanation: