g Let x=(5,2,4)Tx=(5,2,4)T and y=(3,3,2)Ty=(3,3,2)T. Compute ‖x−y‖1,‖x−y‖2‖x−y‖1,‖x−y‖2, and ‖x−y‖[infinity]‖x−y‖[infinity]. Under which norm are the two vectors closest together? Under which norm are they farthest apart?
By definition of the [tex]\ell_p[/tex] norm,
[tex]\|x-y\|_1 = \displaystyle \sum_{i=1}^3 |x_i-y_i| = |5-3|+|2-3|+|4-2| = \boxed{5}[/tex]
[tex]\|x-y\|_2 = \displaystyle \left(\sum_{i=1}^3 |x_i-y_i|^2\right)^{\frac12}= \sqrt{|5-3|^2+|2-3|^2+|4-2|^2}= \sqrt9= \boxed{3}[/tex]
[tex]\|x-y\|_\infty = \max\limits_{i} |x_i-y_i| = \max\left\{|5-3|,|2-3|,|4-2|\right\}=\boxed{2}[/tex]
and so x and y are closest together with p = infinity and furthest apart with p = 1.
Please help with this
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Explanation:
A) This is true because there are 4 cups of green and 2 cups of white. Each box represents 1 cup.
B) This is false. The ratio 4:2 reduces to 2:1 when describing the ratio of green to white. We have twice as many green compared to white. Choice B describes the other way around. The order is important.
C) This is true. We have 2 cups of white and 4 cups of green.
D) False. There are 6 cups total, but only 2 white (not 4).
E) True. This is a verbal way of describing the ratio 4:2, of green to white.
F) False. The ratio is the other way around. See choice E.
G) False. There are 4 cups of green, not 6. There are 6 cups total, not 4. The ratio of green to total is 4:6.
H) True. We have 2 cups of white and 2+4 = 6 cups total.
Given: f(x)= 3x-7 for x>0
f(x)=-2x+3 for x<0
Find: f(6)
Answers:
11
-9
-3
-18
Given :
f(x) = 3x-7 , when x>0
and f(x) = -2x+3 x<0
as 6 is greater than 0, we get that :
f(6) = 3(6)-7
=> f(6) = 18-7
=> f(6) = 11
hence, option a) is correct
The value of f(6) is 11 using the equation f(x)= 3x-7.
To find the value of f(6), we need to determine which condition applies to x = 6. Since x = 6 is greater than 0, we will use the equation f(x) = 3x - 7.
Substituting x = 6 into the equation:
f(6) = 3(6) - 7
f(6) = 18 - 7
f(6) = 11
Therefore, the value of f(6) is 11.
To know more about value, refer here:
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jessie works in an electronics store and earns a 7.5% commission on every item that she sells. How much commission would she earn for selling a computer that costs $1,580?
Work Shown:
7.5% = (7.5)/100 = 0.075
7.5% of $1580 = 0.075*1580 = 118.50
Anya brought 30 tocos for 36 dollars what it the unit rate
Answer:66
Step-by-step explanation:
Help help help help help help
Answer:
Step-by-step explanation:
A' (- 3 + 4, 4 + 2) = (1, 6)
B' (- 1 + 4, 2 + 2) = (3, 4)
C' (- 5 + 4, 0 + 2) = (-1, 2)
The swimming club need to raise £135 for transport to the swimming gala.
They buy 20 tracksuits for £15.98 each and will sell them to raise money.
What percentage profit should they add to the cost of the tracksuits to raise the £135 they need?
Answer:
Step-by-step explanation:
The investment was
20(£15.98) = £319.60
After the sale, they want to have
£319.60 + £135.00 = £454.60
Which means each suit sells for
£454.60/20 = £22.73
The markup was
£22.73 - £20.00 = £2.73
which as a fraction of the purchase price is
£2.73/£20.00 = 0.1365
0.1365(100) = 13.65%
You have a summer job that pays time and a half for overtime. That means if you work more than 40
hours in a week, your hourly wage for the extra hours is 1.5 times your rate of $12 per hour.
Write a piecewise function describing your weekly pay, P, in terms of the number of hours worked, h.
How much will you get payed if you work 47 hours?
Answer:
$522
Step-by-step explanation:
There are 29 cars in a race. How many different ways can the cars finish in order in the top 4 positions?
Answer:
N=29.28.27=29484
(sorry if this didn't help)
Step-by-step explanation:
-5y+8=-7
y = 3
check your answer
Steve drives at a constant speed of 59.3 mph. How far should he expect to drive in 7/8 hr?
Answer:
51.9 miles
Step-by-step explanation:
distance = speed * time
d = 59.3 * 7/8
d = 51.8875 miles
rounded
51.9 miles
A line is defined by the equation Y=2/3x-6 the line passes through a point whose y coordinate is 0 what is the x coordinate of this point
Answer:
x = 9
Step-by-step explanation:
y = (2/3)x - 6
y coordinate is 0
0 = (2/3)x - 6
Add 6 to both sides
6 = (2/3)x
multiply both sides by 3/2
9 = x
x = 9
how many times as great as the mass of each emerald is the mass of each sapphire sapphire:0.315 emerald: 0.18
PLS help me answer both question pls no links and pls no fake answers
Answer:
Step-by-step explanation:
False
Multiplying each side by a positive number does not change the sign
x < -6(5/3)
x < -10
Please take a look at the picture.
Answer:
[tex]1 \frac{1}{12} [/tex]Step-by-step explanation:
Question:To find the value of b.Equation:[tex]b - \frac{7}{4} = - \frac{2}{3} [/tex]Solution :[tex] = > b - \frac{7}{4} = - \frac{2}{3} [/tex]
[tex] = > b = - \frac{2}{3} + \frac{7}{4} [/tex]
As when -7/4 goes on the other side becomes +7/4[tex] = > b = \frac{ - 8 + 21}{12} [/tex]
Simplification[tex] = > b = \frac{13}{12} \: or \: 1 \frac{1}{12} [/tex]
(Ans)4(2x - 1) + 3(2x + 5)
Answer:
14 x + 11Step-by-step explanation:
4*(2x - 1) + 3*(2x + 5) =
8x - 4 + 6x + 15 =
14 x + 11
Working alone, Alicia takes 6 hours to record the inventory of the entire shop, while it
takes Monica only 4 hours to do the same job. How long will it take them working
together if Alicia leaves 2 hours early?
Answer:
ten hours for them to get the job done completely without any hesitation.
Step-by-step explanation:
i studied it
Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.
Answer:
Below in bold.
Step-by-step explanation:
The length of the side opposite to theta:
= √(24^2-21^2)
= √(24-21)(24+21)
= √(135)
= 3√15.
sin theta = 3√15/ 24 = √15/8. csc theta = 1/√15/8 = 8/√15 = 8√15/15.
cos theta = 21/ 24 = 7/8. sec theta = 8/7.
tan theta = 3√15/21 = √15/7. cot theta = 7/√15 = 7√15/15.
What is the area of the rectangle? 7 feet 3 feet 3 feet 7 feet
Answer:
21ft^2
Step-by-step explanation:
A=LW
A= 3ft x 7ft
A=21ft^2
PLS ANSWER THE PICTUREEE
Answer:
1.12
2.11
3.19
Step-by-step explanation:
Sana nakatutulong
#Carry on learning
Pa brainliest po
A
Triangle ABC is right-angled at A, and AD is the altitude from A to the hypotenuse BC.
Find x
Answer:
Step-by-step explanation:
5 x 6:30
What is the next number in the pattern
8.72, 8.52, 8.32 …
Answer:
3333
Step-by-step explanation:
3333
Answer:
8.12
Step-by-step explanation:
Because 0.20 is reduced after each number
8.72-0.20= 8.52
8.52-0.20=8.32
8.32-0.20=8.12
translate the sentence into a equation using n as the unknown number . Then solve the equation for n . 5 increased by half a number is 11
Answer:
I think it'll be 5 + n = 11
11 - 5 = 6
n = 6
Answer:
Below in bold.
Step-by-step explanation:
Let the number be n, then:
5 + 1/2n = 11
1/2n = 11 - 5
1/2n = 6
Multiply both sides of the equation by 2:
n = 12.
HELP!!!!
Which situation best represents the equation below?
A. each day, 2.5 inches of water evaporates from the experiment.
B. Two cartons of eggs ring up at the register for $2.50.
C. A bank account is opened with a balance of $5, and $2.50 is deposited each day.
D. John is 2.5 times as big as his brother Sam.
Answer:
c
Step-by-step explanation:
Solve this quadratic equation by factorisation:
2y² + 4y – 30 = 0
my answer is
(2y+6)×(y-5)
2y+6=0 or y-5=0
y=-3 or y=5
is that correct?
Answer:
Y=5 y=-3
Step-by-step explanation:
Two real solutions:
y =(2+√64)/2=1+4= 5.000
or:
y =(2-√64)/2=1-4= -3.000
Choose the equation that is best represented by the graph.
Answer:
D
Step-by-step explanation:
Because the y-intercept is -3
Line /1 and line /2 are parallel lines. Determine the measures of <1 though <12
Answer:
1=56⁰
2=56⁰
3=68⁰
4=68⁰
5=56⁰
6=112⁰
7=180-124 Ans=56⁰
8=68+56 Ans=124⁰
9=68⁰
10=112⁰
11=124⁰
12=56⁰
Which of the following is not a question to ask to determine the reasonability of a solution?
A. Do the units match what is given in the word problem?
B. Does the answer match what the question is asking for in the problem?
C. Does the numerical answer match up with the correct variable?
D. Is the magnitude of the numeric portion of the answer within an expected range?
Answer:
D IS THE ANSWER
Step-by-step explanation:
HOPE IT HELPS
work out the value of 35-3×9
you must remember to do the bidmas or bodmas in those type of question
First you must try to do multiplie this question 3×9 = 27
than subtract
35-27 =8
8 is final answer
Answer:
8
Step-by-step explanation:
35-3×9=35-27
=8
Hope this helps!!!
Write the equation of the line in y=mx + b form
Answer:
y=-4x+2
Step-by-step explanation:
all you need to do is find the x-axis and y-axis. That information is already there, so put It together