Are the vectors u1→=<2,3>and u2→=<-3,-2>parallel? Show your work and explain.
Answer:
Two vectors are parallel if they are scalar multiples of one another. If u and v are two non-zero vectors and u = c v, then u and v are parallel. The following diagram shows several vectors that are parallel.
Step-by-step explanation:
The requried given vectors are not parallel. As their dot product is not zero.
What is a vector?Vector is defined as the quantities that have both magnitude and direction are called a vector quantity and the nature of the quantity is called a vector.
Two non-zero vectors are parallel if they are scalar multiples of each other. In other words, if one vector is a constant multiple of the other, then they are parallel.
Let k be the scalar multiple such that:
u₁ = k u₂
Substituting the given values of u₁ and u₂, we get:
<2, 3> = k <-3, -2>
Multiplying both sides by -1, we get:
<-2, -3> = k <3, 2>
Now, we can see that the two vectors are not scalar multiples of each other, since there is no value of k that satisfies this equation. Therefore, u₁ and u₂ are not parallel.
We can also verify this by checking their dot product. If the dot product of two non-zero vectors is zero, then they are orthogonal (perpendicular), not parallel. The dot product of u₁ and u₂ is:
u₁ ⋅ u₂ = (2)(-3) + (3)(-2) = -6 - 6 = -12
Since the dot product is not zero, we can conclude that the vectors u₁ and u₂ are not parallel.
Learn more about vectors here,
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Solve the equation: 7(x + 8) = 49
Answer:
-1
Step-by-step explanation:
1.)Reorder the terms:
7(8 + x) = 49
(8 * 7 + x * 7) = 49
(56 + 7x) = 49
2.)Solving
56 + 7x = 49
3.)Solving for variable 'x'.
4.)Move all terms containing x to the left, all other terms to the right.
5.)Add '-56' to each side of the equation.
56 + -56 + 7x = 49 + -56
6.)Combine like terms: 56 + -56 = 0
0 + 7x = 49 + -56
7x = 49 + -56
7.)Combine like terms: 49 + -56 = -7
7x = -7
8.)Divide each side by '7'.
x = -1
9.)Simplifying
x = -1
Hope this helps
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Sora was given two data sets, one without an outlier and one with an outlier.
Data without an outlier: 108, 113, 105, 118, 124, 121, 109
Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 41
How is the mean affected by an outlier?
The outlier did not affect the mean at all.
The outlier made the mean higher than all the other values.
The outlier made the mean lower than all the other values.
The mean is centered around all the other numbers in both sets of data.
Answer:
The outlier made the mean lower than all the other values.
Step-by-step explanation:
Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
Mean of numbers without the outlier = (108 + 113 +105 + 118 + 124 + 121 +109) / 7 = 114
Mean of numbers with the outlier = (108 + 113 +105 + 118 + 124 + 121 +109 + 41) / 8 = 104.9
the mean with the outlier is lower than any of the numbers
Answer:
C
Step-by-step explanation:
Three candy bars are being shared equally between four friends.
How much does each friend get?
Answer:
[tex] \frac{3}{4} [/tex]
An equation is shown below.
−45(9x−20)−3x=45x−6
Enter the value of x that makes this equation true.
Please help me! Correct answer will get brainliest
Answer:
[tex]4(\sqrt{\frac{147}{3} }+3)=40[/tex]
Step-by-step explanation:
Given: [tex]4(\sqrt{\frac{147}{3} }+3)[/tex]
Evaluate radical: [tex]4(\sqrt{49}+3)[/tex]
Evaluate radical: [tex]4(7+3)[/tex]
Evaluate parentheses: [tex]4(10)[/tex]
Distribute 4: [tex]40[/tex]
How many solutions does the following linear equation have?
3(x – 5) = 1 (62 - 12)
O no solution
O one solution
O infinitely many solutions
Answer:
no solution
Step-by-step explanation:
3(x – 5) = 1/2 (6х- 12)
3х-15= 6/2х-12/2
3х-6/2х=15-12/2
3х-3х=15-6
0х=9 no solution
Answer:
no solution
Step-by-step explanation:
3(x – 5) = 1/2 (6х- 12)
3х-15= 6/2х-12/2
3х-6/2х=15-12/2
3х-3х=15-6
0х=9 no solution
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Answer: 0.086x
Step-by-step explanation:
Since the trend line starts at the origin, there is no y-intercept. To calculate the slope, divide the change in y over change in x. Since one of our points is the origin, we can just divide the y value by the x value, or 1.38 by 16, to get 0.08625. Rounded to the nearest thousandth, we get a slope of 0.086.
A DVD player manufacturer shipped 960 DVD players last month. According to the manufacturers records, 5 out of every 24 players were repaired during the first year of ownership. How many of the 960 DVD players were repaired in the first year?
a: 40
b: 120
C: 192
D: 200
Answer:
D: 200
Step-by-step explanation:
Given that
The DVD player shipped 960 players last month
There is a record that out of every 24 players, the 5 would be the repaired
So we need to find the number of DVD players were repaired in this 960 players
So
= 960 × 5 ÷ 24
= 200 players
Hence, the option is d.
The price of a book that originally cost c dollars was decreased by $10 and then increased by 25% select all the expressions that represent the new price of the book.
A. (c-10) + (0.25)c
B. (c-10) + 0.25
C. (c-10) + 25
D. (c-10) + (c-10)(0.25)
E. (c-10)(1.25)
Answer:
Step-by-step explanation:
B. (c- 10)+ 0.25
what is the distance between (3,2) and (1,6)
Answer:
The answer is 2√5 or 4.47213595...
Step-by-step explanation: use the distance formula
A box plot is shown below what is the median and q3 of the data set represented on the plot median=30;q3=44
The required boxplot isn't attached, an hypothetical solution is given which could be applied to solve your actual task.
Answer:
Kindly check explanation
Step-by-step explanation:
The median of a dataset plotted on a box and whisker plot can be obtained directly from the plot as the point where a vertical line splits the box. The line inside the box gives the median of the data. The Q3 value which is the upper quartile is depicted on the box and whisker plot as the endpoint of the box. The endpoint of the box gives the upper quartile value for the dataset.
In the scenario above, the median = 29
The upper quartile = 38
PRACTISE NOW 9A
1.
Draw a line segment AB of length 6 cm. Construct the perpendicular bisector of AB.
Denesh is creating a triangular flower bed using three pieces of wood. The two shorter pieces of wood have lengths of 7 feet and 24 feet. How long, in feet, should the third piece of wood be for Denesh to create a right triangle?
Answer:
The answer is 25
Step-by-step explanation:
Answer:
The third piece of wood that for denesh need to create to form a right triangle is: 25 feet.
Step-by-step explanation:
We are given two shorter legs of a wood of lengths as: 7 feet and 24 feet. We know that in a right angled triangle with two shorter sides as a and b the longer length or the hypotenuse of the triangle of length c is given by Pythagorean Theorem as: We have: a=7 and b=24 Hence,
A sociedade brasileira de pediatria recomenda limitar o tempo máximo de telas e jogos de videogames a três horas por dia, para adolescentes com idades entrar 11 e 18 anos Este tempo máximo, se usado todos os dias, representa, dos 11 aos 18 anos, um total de horas que equivale a A) 1 ano B) 3 anos C) 6 anos D) 7 anos E) 8 anos
Responder:
A) 1 ano
Explicação passo a passo:
Tempo máximo de tela = 3 horas / dia
Número de anos entre 11 e 18 anos = 8 anos
Vamos calcular o número de tempo de tela em um ano:
Número de dias em um ano = 365
Horas de uso em um ano:
3 horas / dia * 365 dias = 1.095 horas
Horas de uso em 8 anos:
1.095 horas * 8 = 8.760 horas
Convertendo o número de horas em anos:
Número de horas em um ano:
24 horas * 365 dias = 8760 horas por ano
Anos de tempo na tela:
Número de horas em 8 anos / número de horas em um ano
8760/8760 = 1 ano
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Find the value of y that makes the equation 3y = x + 2 true, when x = 1.
A. 1
B. 3
C. 1/3
D. 2
Answer:
A. 1
Step-by-step explanation:
just plug it in here
3y = 1 + 2
3y = 3
y = 1
Find tan(a) in the triangle.
Choose 1 answer:
A. 7/25
B. 24/25
C. 7/24
D. 24/7
Tan(a)= Toa
Toa =opposite/adjacent
Toa=7/25
final answer is 7/25
Answer: 24/7
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When n = 4, which of the expressions below will be greater than 20? Select all that apply.
A) n2+6n÷3
B) 12n –(6n+3)
C) n2–6
D) 4(n+6) –3n
14523 round to nearest 10
Answer:
14520
Step-by-step explanation:
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When creating a coordinate plane, which direction does the y-axis lay?
Group of answer choices
diagnol
none of the above
vetical
horizontal
Which sentence is true about quadrilaterals?
Group of answer choices
All squares are rectangles.
All rectangles are rhombi.
All rectangles are squares.
All rhombi are squares.
What kind of triangle has exactly 2 congruent sides?
Group of answer choices
right
isosceles
scalene
equilateral
What is the name of the quadrilateral that has 1 and only 1 set of parallel sides?
Group of answer choices
trapezoid
square
rectangle
rhombus
Which of the following describes a triangle?
Group of answer choices
only 1 pair of parallel sides
no pairs of parallel sides
3 parallel sides
2 parallel sides
Answer:
#1 ) Vertical
#2) All rhombi are squares
#3) Isosceles
#4) Trapezoid
#5) No pairs of parallel sides
Hope this helps! Mark me brainliest if I'm right :)
How many terms are in the expression below?
5x +3 - 3x – 1 + 2x + 5
Answer:
2
Step-by-step explanation:
5x + 3 - 3x - 1 + 2x + 5
you can combine the like terms
5x - 3x + 2x = 4x
3 - 1 + 5 = 7
4x + 7
there are 2 terms in the expression
6+5·(8÷2)2
PLSS help i will mark brainliest
answer:
46
step-by-step explanation:
use PEMDAS in order to solve this6 + 5 · (8 ÷ 2)2
6 + 5 · (4)2
6 + 40
= 46
A lap around Natalie's neighbourhood is 20 kilometres. Natalie ran 2 laps before
walking the rest. How many kilometres did Natalie run?
what is the correct answer?
Answer:
Step-by-step explanation:
The missing height is 5 units
Recall that (area of a parallelogram) = (length)(height) and that
(height) = (area) / length.
Here,
(height) = (35 units^2) / (7 units) = 5 units
The missing height is 5 units
Find the area of a circle with a circumference of 31.4 units
Answer:
Step-by-step explanation:
hope it helps you
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find the missing angle,k, in the diagram below
1) 90°
2) 145°
3) 55°
4)35°
help me get it right no links
Answer:
kjhgfdfgbjuyt hope it helps
Step-by-step explanation:
NEED HELP! The wind-speed, in miles per hour (mph), was measured every six hours during a day on the Isles od Scilly.
Answer:
Mean=
36/5=7.2
Median=8
Step-by-step explanation:
mean=add all the numbers/divide by how many
13+12+8+2+1=36
5 numbers altogether hence,
36/5=7.2
median=arrange all numbers and middle term is the median(for odd numbers only)
13,12,8,2,1
Hence,8 is the middle term
Hope this helped xx
PLEASE HELP ASAP WILL MARK BRAINLIEST
Part A
Which line best fits the data, l, m, or n? Why?
Part B
In the equation of a line, y = mx + b, what does b stand for? What is the value of b for the line of best fit?
Part C
In the equation of a line, y = mx + b , what does m stand for? What is the value of m for the line of best fit?
Part D
Now that you know m and b, what is the equation of the line of best fit?
Answer:
Part A:
Most of the data points are above line m. All of the data points are below line n. The data points are evenly distributed on either side of line l. Therefore, line l is the line of best fit for the data.
Part B:
For the line of best fit, the y-intercept is approximately 10 and the slope is approximately 2 .
Part C:
Y= 2x+10
Step-by-step explanation:
Part A:
Most of the data points are above line m. All of the data points are below line n. The data points are evenly distributed on either side of line l. Therefore, line l is the line of best fit for the data.
Part B:
To find the y-intercept of a line, identify where the line intersects the y-axis. Because the line of best fit is line l, the y-intercept is 10.
To find the slope, choose two points on line l, such as (10,30) and (30,70):
Part C:
To get the equation of the line, substitute the y-intercept, 10, for b and the slope, 2, for m.
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