Answer:2u + v - 4w = <40 , -4>
6u - 8v = <-78 , 58>
4v - 7w = <101 , -36>
11u + 3w = <-88 , 89>
Step-by-step explanation:
The Values are as follows:
2u+v-4w = ( 40 , -4)
6u-8v = ( -78, 58)
11u + 3w = (-88, 89)
What is Vector?A quantity that has both magnitude and direction but not position. Examples of such quantities are velocity and acceleration.
Given:
u = (-5, 7), v = (6, -2), and w=(-11, 4).
So, 2u+v-4w
= 2( -5, 7) + ( 6, -2) - 4(-11, 4)
= (-10, 14) + (6, -2) - (-44, 16)
= (-10 + 6 + 44, 14 -2 - 16)
= ( 40 , -4)
and, 6u-8v
= 6(-5, 7) - 8(6, -2)
= (-30 - 48 , 42 + 16)
= ( -78, 58)
and, 11u + 3w =
= | (-55, 77) + (-33, 12)|
= (-88, 89)
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What does a residual value of 1. 3 mean when referring to the line of best fit of a data set? A data point is 1. 3 units above the line of best fit. A data point is 1. 3 units below the line of best fit. The line of best fit has a slope of –1. 3 The line of best fit has a slope of 1. 3.
You can use the fact that a residual value is obtained by subtracting the prediction by the line of best fit from the actual data value we have.
The residual value 1.3 when referring to the line of best fit of a data set means:
Option B: A data point is 1.3 units below the line of best fit
What is a residual value and how is it calculated?
First of all, this whole story starts with data. We get data and we try to fit a line which can best imitate the way data is lying on the coordinate plane.
Remember that on a 2d coordinate cartesian plane, we have (x,y) called as point on plane and x is abscissa and y is called ordinate.
Let the best fit line be denoted by y = mx + c (assuming we're working with 2d data) with slope m and y-intercept c.
Now, this line is used to predict where can the next data point may lie.
When this best fit line is used to predict already present data point, we get the error that best fit line made when predicting the real data.
This is measured by "residual value"
For data point with ordinate b, we suppose get prediction as y
Then we have the residual value as y - b.
Remember, the prediction is before the real data point's ordinate.
How to know what does 1.3 residual value mean?Let the real value be b and the predicted value be y from which this residual was calculated.
Then we have:
y - b = 1.3
y = 1.3 + b
Thus, we see that prediction is bigger than the real data point's y-ordinate. Since y axis has increasing value as we go higher and higher vertically, thus this prediction value's ordinate is higher than that of real value's ordinate.
The prediction, since shows the height of best fit line on that input point, thus we have:
Option B: A data point is 1.3 units below the line of best fit.
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Answer:
Answer B
Step-by-step explanation:
I'm smart please ad brainliest! :P
This is the floor plan of Julie's bathroom. Julie needs to determine the area of the floor so she can order new tile. Find the area, in square feet, of Julie's bathroom floor.
The area of a shape is the amount of space it occupies
The area of the bathroom floor is [tex]44\frac 12[/tex] square feet
How to determine the area of the bathroom floorFrom the plan of the bathroom, we have the following dimensions:
Area 1: 5 1/2 by 4Area 2: 6 1/2 by 3Area 3: 2 by 1 1/2So, the area of the bathroom floor is:
[tex]Area = 5\frac 12 * 4 + 6\frac 12 * 3 + 2 * 1\frac 12[/tex]
Evaluate the products
[tex]Area = 22 + 19\frac 12 + 3[/tex]
Evaluate the sums
[tex]Area = 44\frac 12[/tex]
Hence, the area of the bathroom floor is [tex]44\frac 12[/tex] square feet
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factorise 3x^2 + 5x + 2
Answer:
(x+1)(3x+2)
Step-by-step explanation:
Let's use the "x" method:
Two numbers multiplied is equivalent to 6 and their sum is 5.
The numbers would be 3 and 2. Now let's split up 5x into 3x and 2x:
3x²+3x+2x+2
Then we factor:
3x(x+1)+2(x+1)
We can combine 3x and 2 since they are both being multiplied by x+1
(x+1)(3x+2)
Subtract 2x^2-3xy+4y^2 from 3x^2-5xy-6y^2
Answer:
x ^2 − 2 y ^2 −8 x y
Step-by-step explanation:
I need help with all of these answers
If m∠A=83° and m∠E=56° , what is the measure of ∠F
Answer:Every triangle has three angles which sum to 180 degrees.
There are three types of triangles based on the measures of its angles.
Right Triangle - Has one 90 degree angle
Acute Triangle - All angles less than 90 degrees
Obtuse Triangle - One angle greater than 90 degrees
In this example we are given 2 angles and must find the measure of the 3rd.
a + 56 + 34 = 180
a + 90 = 180
a = 90
Therefore, it is a Right Triangle.
Step-by-step explanation:A right angle triangle, assuming it’s a plane triangle. The third angle can be calculated to be 180° – 56° – 34° = 90°.
QED. hope this helps you
In a sale a jacket coating $40 is reduced by 20% what is the sale price?
Answer:
$32
Step-by-step explanation:
Price reduced by 20% = 80% of original price
= 40 x 0.8
= 32
BRAINLIEST.
I NEED IT BAD!
Pls help I need the answer
Answer:
The first choice.
Answer:
First choice
Step-by-step explanation:
Let n = the number of candy “Same” (???) bought
each piece of candy is 0.25 so we can multiply that by n. We have 0.25n now. Since the total cost of the candy is 2, we can put the 0.25n = 2
The answer is the same as choice 1, making it correct.
I hope this helped and please mark me as brainliest!
11) There are 644 calories in 6 snickers bars. How many calories would there be in 9 snickers bars? * There are calories in 9 snickers bars. Your answer This is a required question
Answer:
966 calories
Step-by-step explanation:
644 / 6 = 107.333
107.333 * 9 = 966
Which property was used to simplify the expression?
3c-9+4c = 3c + 4c + 9
distributive property
communicative property
associative property
inverse property
The change that happened from the first half of the equation to the second half was you moved the 9 and the 4c around.
Commutative property of addition allows you to do that. It's what says that 2+3 is the same thing as 3+2
Hope this helps you
A block of ice is melting at an average of its weight each hour. After 5 hours the block weighed 1 pound. How much did the block weigh originally?
C. 16 lb
A. 5 lb
D. 32 lb
B. 10 lb
Answer:
A
Step-by-step explanation:
I think its a because of the way it is stated and rate it is melting at
What is the value Of x
Answer:
A) 11
Step-by-step explanation:
The angle that is 50 degrees has the same degree as 5x - 5.
5x - 5 = 50
+ 5 + 5
5x = 55
x = 11
I hope this helped and please mark me as brainliest!
The Rodas family spends $1,120 on housing each month. This is 35% of
the family's monthly budget. What is the Rodas family's monthly budget?
$1,848
Answer:
ok so if we use algebra
0.35x=1120
divide by 0.35
x=3200
Hope This Helps!!!
Answer:
0.35x=1120
divide by 0.35
x=3200
Step-by-step explanation:
A student was measuring the height of plants grown with different types of fertilizer or with plain water. He took his measurements using inches, then realized that he needed to use metric units, so he converted his measurements from inches to centimeters. What is the independent variable in this experiment
Using variable concepts, it is found that the independent variable in this experiment is the measurement in inches.
What is the relation between a function and the dependent and independent variables?A function has the following format: [tex]y = f(x)[/tex].In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.That is, the input of the function is the independent variable and the output is the dependent variable.In this problem:
The input is the measurement in inches, hence being the independent variable.The output is the measurement in centimeters, hence being the dependent variable.You can learn more about independent and dependent variables at https://brainly.com/question/1429012
Solve the equation 31.25 -0.03g = 29.95 using algebraic operations
Which of the following comparisons is correct?
Rihanna’s mortgage payment was originally 1,590 per month. Now, after refinancing her home loan, Rihanna’s mortgage payment is 30% more than it used to be. How much is Rihanna’s monthly payment now?
Answer:
2067
Step-by-step explanation:
30% = 30/100 = 0.3
1590 x 0.3 = 477
Monthly payment now 1590 + 477 = 2067
Or
1590 x 1.3 = 2067
thank you help and good job to halp all
Answer:
your very welcome and if u need help on anyrhing i will be glad to take a look at it.
Step-by-step explanation:
What is the sign of 3/5 + 3/5? Choose 1 answer:
Choice A: Positive
Choice B: Negative
Choice C: Neither
Answer:
A.Positive
Step-by-step explanation:
both of them are positive numbers,and so their sum will also be a positive number
The blue dot is what value on the number line? and please answer i really need help
Answer: Below
Step-by-step explanation:
based on our two values 10 and 2, we know the scale is 4, because 10 - 2 = 8, and 8/2 = 4.
Blue dot is 3 units below 2.
4*3 = 12
2-12 = -10
-10 should be your answer
What is the perimeter of this triangle rounded to the nearest tenth of a unit?
A.32.0
B.34.0
C37.5
D.40.4
Answer:
37.5
Step-by-step explanation:
see attached for step-by-step (I typed it into MS Word, as it takes ages using the equation function here on Brainly)!
How many degrees is the sum of all interior
angles of a triangle?
Answer:
180°Step-by-step explanation:
ILL MARK THE FIRST BRANLIEST PLEASE I REALLY NEED THIS ANSWER A AND B
Find the percent change from the first value to the second. 40; 50
Answer:
25%
Step-by-step explanation:
to find the increase, you will need to subract 50 and 40 which = 10
then divide 10 by the original number (40) which gives you 1/4 or .25
now, multiply by 100
this gives you 25%
f(x)=−x2+10x−6 Find f(−5)
$6500 were divided equally among a certain number of persons. Had there been 15 more persons, each would got $30 less. Find the original number of persons.
Will mark Brainliest
Answer:
x=15, the missing length is 15m
Step-by-step explanation:
You are buying hamburger meat at the grocery store. The cost for the hamburger meat is $2.38/lb. You are buying 8 pounds of hamburger meat.
How much will you pay for the hamburger meat?
A
$19.04
B
$23.80
C
$2.38
D
$8.00
Answer:
A. $19.04
Step-by-step explanation:
Here given:
1 lb costs $2.38
If we convert 1 lb to pound that is 1 pounds,
so if he bought 8 pounds of hamburger meat : $2.38 * 8 = $19.04
∵Thus we can conclude answer A is correct.
Cost of hamburger is
2.38$/lbsSo
1 lbs costs 2.38$Now
8lbs we boughtTotal cost:
2.38(8)=19.04$Option A is correct
What is the constant of proportionality in this proportional relationship? x 2 3 4 5 y 1 5/9 2 3/9 3 1/9 3 8/9
The constant of proportionality in this proportional relationship is 9/7.
Direct variationFrom the given table, you can see that as the value of x is increasing, the value of "y" is also increasing.
This shows that x is directly proportional to y.
x = kyIf x = 2, y = 1 5/9
2 = (14/9)k
18 = 14k
k = 18/14
k = 9/7
Hence the constant of proportionality in this proportional relationship is 9/7.
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The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h.
A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 120 feet per second. After how many seconds does the ball attain its maximum height.
Round to the nearest hundred.
Answer:
3.75 seconds
Step-by-step explanation:
Given:
[tex]h(t)=-16t^2+Vt+h[/tex]
[tex]h=2[/tex]
[tex]V=180[/tex]
Plug in given info into formula:
[tex]h(t)=-16t^2+120t+2[/tex]
Find the x-coordinate of the vertex:
[tex]t=-\frac{b}{2a}[/tex]
[tex]t=-\frac{120}{2(-16)}[/tex]
[tex]t=-\frac{120}{-32}[/tex]
[tex]t=\frac{15}{4}[/tex]
[tex]t=3.75[/tex]
