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.
Need the answer to this pls
Answer:
b
Step-by-step explanation:
y=-1/4 x -3
The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 2/3 of what the temperature was at 1 p.m. What was the temperature at 10 a.m. of the substance? Enter your answer as a decimal in the box.
PLS HELP
The temperature of the substance at 10am = 63.95°F
Let the temperature at 10 am be x
The temperature changes by −8.7°F from 10 a.m. to 1 p.m
The temperature at 1 pm = x - 8.7
At 5 p.m., the temperature is 33.5°F
The temperature at 5 pm = 33.5°F
The temperature at 5 pm is 2/3 of what the temperature was at 1 p.m
[tex]33.5 = \frac{2}{3} ( x-8.7 )[/tex]
Solve for x
3(33.5) = 2(x - 8.7)
110.5 = 2x - 17.4
2x = 110.5 + 17.4
2x = 127.9
x = 127.9/2
x = 63.95°F
The temperature of the substance at 10am = 63.95°F
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Which of the following could be a helpful first step in solving this equation for q?
p2q+2q=11
Question 5 options:
Combine p2q+2q
Divide the whole equation by 11.
Divide the first term by p2
Factor a q out of p2q+2q
Answer:
D: Factor a q out of p^2 q+ 2q
Step-by-step explanation:
I took the test. Hope it was helpful! :)
The first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the equation is,
p²q+2q=11
Take q common from the L.H.S as
q(p²+2)=11
The value of q is obtained by rearranging the equation as,
q=11/(p²+2)
The value of q obtained after solving the equation p²q+2q=11 will be q=11/(p²+2).
Thus, the first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.
Learn more about the equation here,
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There are 16 girls and 14 boys in Mr. Chay's class. This ratio holds true for the entire school. If there are 1500 students, how many girls attend the school?
Answer:
Step-by-step explanation:
16/(16 + 14) = XX/1500
1500(16) = 30XX
XX = 800 girls
answer:TThe ratio of boys to girls is 12 to 16, 12:16 or 12/16 (all different ways this can be written). The fraction form 12/16 can be reduced by dividing
Which equation shows y=3x−15 in standard form?
5x−15y=−1
5x−15y=1
15x+5y=−1
15x−5y=1
Answer:
c 5x -15y =1
5x-15y=1
-5x -15y= 1 -5x change the signs on both sides of the equation
15y = -1 +5x divide both sides by 15
y = -1/15 + 1/3 x Reorder the terms
y = 3x-15
Step-by-step explanation:
Hope this helps:)
yo if someone helps me with this ill give u brainliest
Answer:
Step-by-step explanation:
a 15090
b 4255
c dairy heifers and bulls
d 9975/15090
e how many steers there are compared to bulls
Answer:
a) 15,090, addition
b) 4,255, subtraction
c) bulls and beef heifers for breeding
d) 5115/15,090 or 15/90
e) How many more calves are there than steers?
3930
Step-by-step explanation:
what is a degree 3 polynomial with integer coefficients with zeros 3, -4, 5
Which of the following is the perimeter of a triangle with side lengths of 8 in, 9 in, and 11 in?
Answer:
the one with the perimeter of 28 inStep-by-step explanation:
To calculate the perimeter of a triangle, add the length of its sides.
8 + 9 + 11 = 28in
Lin’s father is paying for a $35 meal. He has a 15%-off coupon for the meal. After the discount, a 4% sales tax is applied.
What is the discount amount? $
What is the subtotal? $
What is the amount of tax added? $
What does Lin’s father pay for the meal? $
also there are suppose to be 4 answers so if you do know it please tell me 4 answers
Answer:
discount: $5.25
subtotal: $29.75
added tax: $1.19
total: $30.94
Step-by-step explanation:
15% of 35 = $5.25
$35 - $5.25 = $29.75
$29.75 + 4% = $30.94 Sales tax = $1.19
Answer:
Step-by-step explanation:
100% - 15% = 85% = 0.85
$35 × 0.85 = $29.75 (Subtotal)
100% + 4% = 104% = 1.04
$29.75 × 1.04 = $30.94
~~~~~~~~~~~~~~~
What is the discount amount?
$35 × 0.15 = $5.25
What is the subtotal? $29.75
What is the amount of tax added?
$29.75 × 0.04 = $1.19
What does Lin’s father pay for the meal? $30.94
A grain trader buys the following amounts from three suppliers: 3,200 pounds,7,200 ponds and 600 pounds. What is the total weight of hid purchase?
Answer: just simply add them and you get 11000
A plane is pointed S 15° E, with indicated speed 500 mph. It flies through a wind
blowing N 20° E at 55 mph. Find the resultant speed and direction of the plane.
Answer:
N 2.4 ∘ W or Bearing 357.6 ∘
672.2x km/hr
Step-by-step explanation:
here's my question.
Answer:
use reciprocal
Step-by-step explanation:
Question 2 of 33
Which of the following is equivalent to the expression below when x20?
VP+ √25x² – 5xfx
O A. 11x/
В. xx
C. 1268- 5x
D. 67-5xxx
SUBMIT
Help me plsssssss jdhdhdhdud
Answer:
5/2
Step-by-step explanation:
c (constant of proportionality) = y/x = 5/2 in this case
7. Find the length of AB
please answer will mark brainelist :)
Answer:
A) 17 m B) 20.8 m
Step-by-step explanation:
I cannot mark on the image but you can find the length of A to the bottom of the shape by subtracting 26-11
26-11 = 15
I will label the triangle as ABC (AB the length we trying to find, BC is 15 *it is angle B to the intercept of A and the bottom of the shape, AC is 8 because it is parallel to the given length 8)
AB is the hypotenuse
We can use the pythagorean theorem to find length AB (a^2 + b^2 = c^2)
a and b is the legs which is 8 and 15
8^2 + 15^2 = AB^2
64 + 225 = AB^2
289 = AB^2
√289 = AB (to undo a square, you use square roots)
√289 = 17
AB = 17 m
Now we need to find the hypotenuse of AC
the same thing, we did for problem A, use the pythagorean theorem
17^2 + 12^2 = AC^2
289 + 144 = AC^2
433 = AC^2
√433 = AC
√433 is about 20.808...
round to the tenth as stated in the directions
AC = 20.8 m
PLEASE ANSWER ASAP, WILL BRAINLIESS
Answer:
Step-by-step explanation Let g be the function defined by 8(x) = f*r(t) dt. (a) Find the average rate of change of g from x = -5 to x = 5. (b) Find the instantaneous rate of change ...
What is the value of point P?
Answer:
-8
Step-by-step explanation:
Because it moved 2 to the right.
Answer:
-8
Hope this helps :)
help me please !!!!!!
KS3 YEAR 8 maths!
super confused ♀️♀️
Answer:
9:29pm
Step-by-step explanation:
Josh volunteers at a library. One weekend, he put 234 returned books back on the shelves. Of those books 2/3 were hardcover books and the rest were paperback books. How many paperback books did Josh put back on the shelves?
Answer: 78 paperback books.
Step-by-step explanation:
1. Since 2/3 of the books are hardcover books, then 1/3 of the books are paperback books.
2. 234/3 = 78 books.
Answer:
78 paperback books
Step-by-step explanation:
234 x (2/3) = 156
234 - 156 = 78
What temperature is halfway between:
6 and -2
Answer:
The answer is 2
Step-by-step explanation:
-2, -1, 0, 1, 2, 3, 4, 5, 6
If you remove the first 4 and the last 4 numbers you are left with 2 which is also the median / middle value. Therefore, the temperature is 2.
Solve 5(x+3) = -2(x-7)
x=-22/7
x=-1/7
x=-8/3
x=1/7 choose one
Answer:
x=-1/7
Step-by-step explanation:
5x+15=-2x+14
5x+2x=14-15
7x=-1
x=-1/7
Step-by-step explanation:
5(x+3) = -2(x-7)
5x + 15 = -2x + 14
7x = -1
x = -1/7
h
A. 2x – 1 + 3x = 0
B.
5.2 -1=0
1) How can we get Equation B from Equation A?
Choose 1 answer:
Add/subtract the same quantity to/from both sides
B
Add/subtract a quantity to/from only one side
Rewrite one side (or both) by combining like terms
Rewrite one side (or both) using the distributive property
Answer:
A
Step-by-step explanation: :}
If you got $4 552 from your father and $1 478 from your mother and you spend $625. How much money do you now have to the nearest thousand?
Answer:
simply add what you got from your mother and father then subtract from what you spent then the remaining is the answer
Hello how to solve this can anyone help
Step-by-step explanation:
f(1)= 1²+4×1=5
f(2)=2²+4×2= 12
f(3)=3²+4×3=21
domain
1,2,3
range
5,12,21
The length of the
hypotenuse of a right-
angled triangle is 7.8 cm,
correct to 1 decimal place.
One of the shorter side
lengths is 2.1 cm, correct
to 1 decimal place. Estimate
the length of the remaining
side, rounding your answer
to 1 decimal place.
Answer:
7.5 cm
Step-by-step explanation:
Since it's a right triangle, apply pythegorean theorem
Let the missing side be x
[tex] {7.8}^{2} = 2.1 { }^{2} + x {}^{2} [/tex]
[tex]60.84 = 4.41 + {x}^{2} [/tex]
[tex] {x}^{2} = 60.84 - 4.41[/tex]
[tex] {x}^{2} = 56.43[/tex]
[tex] \sqrt{ {x}^{2} } = \sqrt{56.43} [/tex]
[tex]x = 7.5[/tex]
Therefore, the length of the missing side is 7.5 cm
Which set of ordered pairs lies along the same vertical line?
Answer:
All ordered pairs with the same x value
Step-by-step explanation:
A vertical line can be represented by the equation x=k for some value k. So any pair with x value equal to k satisfies the equation and is thus in the set
Solve the equation for y. 5x+2Y=9
Answer:
y = 9/2 - 5/2(x)
Step-by-step explanation:
I think this is right
Plz help guys!!!!!!!!
Answer:
3
2
Step-by-step explanation:
Sử dụng phép tính mệnh đề (các luật logic) để chứng minh các biểu thức sau là hằng
đúng:
[p -> (q ∨ r)] ->[(p -> q) ∨ (p ->r)]
Answer: “P hay Q” là một mệnh đề được
Step-by-step explanation: Các quy tắc tương đương logic: ... Chứng minh biểu thức mệnh đề (¬((r ∨ q) ∧ q) ∨. ¬p)∧ ((¬p
A car rents for $40 per day plus 21¢ per mile. You are on a daily budget of $82. What mileage will allow you to stay within your budget?
Answer:
less than or equal to 200 miles
Step-by-step explanation:
let 'm' = mileage
0.21m + 40 ≤ 82
subtract 40 from each side to get:
0.21m ≤ 42
divide each side by 0.21 to get:
m ≤ 200