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.
the 7th term of a Gp is 192 and it common ratio is 2 find the first term
[tex]n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_7=\stackrel{7^{th}\ term}{192}\\ 7=\textit{term position}\\ a_1=\textit{first term}\\ r=\stackrel{\textit{common ratio}}{2} \end{cases} \qquad \qquad a_7=a_1\cdot 2^{7-1} \\\\\\ 192=a_1\cdot 2^6 \implies 192=64a_1\implies \cfrac{192}{64}=a_1\implies \boxed{3=a_1}[/tex]
4 friends share 5 pizzas equally how much pizza did each friend get
Answer:
10
Step-by-step explanation:
deoends how many pieces each pizza has. if it has 8 pieces each it would be 8×5=40
For one English test jason correctly answered 22 questions these correct answers gave him a percent score of 50% In total how many questions were on this English test
Solve the equation, 3/4x + 3 - 2x = -1/4 + 1/2x + 5
Answer:
I think x= -1
Step-by-step explanation:
U.
15. How many correct answers would be
needed to get a score of 85% on a math
test that has forty questions?
A. 32
B. 34
C. 36
D. None of the above
Answer:
34
Step-by-step explanation:
40 questions times 0.85 equals 34
Which equation is an identity?
A)
3x + 4 = 5x - 1
B)
2x + 3 = 2x + 4 - 1
C)
5x = 10
D)
- 3x + 1 = -3x - 5
Answer:
B) 2x + 3 = 2x + 4 - 1
Step-by-step explanation:
A) 3x + 4 = 5x - 1
2x = 5
x = 2/5
B) 2x + 3 = 2x + 3
True
C) 5x = 10
x = 2
D) -3x + 1 = -3x - 5
False
87 is 12.5% of what number?
Answer:
696
Step-by-step explanation:
9.2 less than 3 times a number is the same as 21 1/4
Answer:
10.15
Step-by-step explanation:
3x-9.2 = 21.25
3x = 30.45
x = 10.15
Answer:
10.15
Step-by-step explanation:
I took the K12 test
Alfred has made 8 cookies to give to his friends. Since he has 15 friends that he wants to give cookies to, how many more cookies does he need to make? Define a variable, write an equation, and solve your equation algebraically. Check your solution.
I wrote notes on this question a while ago
C=cookies to make
C+8=15
C+8-8+15-8
C+0=7
C=7
Check:7+8=15
15=15
HELP QUICK!!! I Really need the answer l'll give you ten points.
what is 83\100 in decimal form
-5y+8=-7
y = 3
check your answer
The equation of two functions f(x) And g(x) are typed into a graphing calculator to see both graphs on the same coordinate plane. The graphs shown below represents the two functions.
Which are approximate solutions of the equation f(x)=g(x) Select all that apply.
A. 6
B. 0.7
C. 0
D. 4.6
Answer:
The solution of the equation f(x) = g(x) is the set of all x for which the graphs of f and g intersect. The solution of the inequality f(x) < g(x) is the set of all x for which the graph of f lies below the graph of g
Help help help help help help soon people help
Answer:
A'(5,1)
B'(6,-3)
C'(2,3)
Step-by-step explanation:
assuming the translation is right 3, just add 3 to each x value
Write the equation's of the lines using the given information
m=-2, (3, -7)
Answer:
y = -2x-1
Step-by-step explanation:
The formula for a line is [tex]y-y_{1} = m(x-x_{1})[/tex].
Plug in the information given in the problem: y-(-7) = -2(x-3)
So you get y+7 = -2x+6.
The final form you want needs to be equal to y (that means you want y by itself on the left side of the equals), so subtract 7 from both sides.
You get y = -2x-1
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-7})~\hspace{10em} m = -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-2}(x-\stackrel{x_1}{3}) \\\\\\ y+7=-2x+6\implies \blacktriangleright y=-2x-1 \blacktriangleleft[/tex]
A triangle has vertices (1,4),(1,1),and (-3,1). The triangle is dilated by a scale factor of two, then translated five units up, and then rotated 90° counterclockwise about the origin. What are the first roles of the image of the triangle?
The first roles of the image of the triangle are (-13, 2), (-7, 2), and (-7, -6).
Given the coordinates of the vertices (1,4),(1,1), and (-3,1), if the coordinate is dilated by a factor of 2, the resulting coordinates will be gotten by multiplying each coordinate by "2" to have (2, 8),(2,2), and (-6,2).
If it is translated five units up, the resulting coordinate will be gotten by adding 5 to the y-coordinates to have (2, 13),(2, 7), and (-6,7).
If the resulting coordinate is then rotated 90° counterclockwise about the origin, the final position of the vertices will be at (-13, 2), (-7, 2), and (-7, -6).
Learn more here: https://brainly.com/question/14191421
Jenna's basketball team is behind by eleven points. If their team makes a three-point shot, they will need to score
another
polnts to tie the game.
zero
fourteen
eight
eleven
Answer:
8
Step-by-step explanation:
11-3=8
11-3=8 must subtract for anser
PLEASE HELP ME!!! ASAP SHOW YOUR WORK!!! Given cos x =√15/4 and 90°< x 180°, find the exact value for cos 2x
Answer:
x=34 because you simplify it and then take 45 and at it to it
Use a table to find the solution to the situation.
Stan needs a mime. Mime A is offering his services for an initial $150 in addition to $25 per hour. Mime B
is offering her services for an initial $45 in addition to $40 per hour. When will the two mimes charge the
same amount of money?
The two mimes will charge the same amount of money after
hours.
Answer:
The answer is 3 hours
Step-by-step explanation:
Plss answer I give you branlistb
Johnny Rockefeller had a bad credit rating and went to a local cash center. He took out a $100.00 loan payable in two weeks for $107.50. What is the percent of interest paid on this loan?
Answer:
7.5% Because out of 100 parts there are an additional 7.5 of them. Good luck mate.
how to do surface area
Answer:
Step-by-step explanation:
Multiply the length and width, or c and b to find their area. Multiply this measurement by two to account for both sides. Add the three separate measurements together. Because surface area is the total area of all of the faces of an object, the final step is to add all of the individually calculated areas together.
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
What is the weight of a dry substance in 150 g of a 3% substance solution?
4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.
2000 tennis balls are divided into packs of 3 how many more tennis balls are needed to make another full pack
Answer:
664
Step-by-step explanation:
666 balls to make a full pack
666x3=1998
6000-1998=2
666-2=664
Jace is deciding between two landscaping companies for his place of business. Company A charges $50 per hour and a $250 equipment fee. Company B charges $75 per hour and a $150 equipment fee. Let A represent the amount Company A would charge for tt hours of landscaping, and let B represent the amount Company B would charge for tt hours of landscaping. Graph each function and determine the number of hours, t, that would make the cost of each company the same.
give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
dollars per hour
dollars
hours per dollar
hours
my graph is the y axis is 1000 and the x axis is 20
Hi there!
We can begin by writing an equation for each company.
Let x = number of hours
Company A:
y = 250 + 50x (hourly rate is $50)
Company B:
y = 150 + 75x (hourly rate is $75)
We can set the two equations equal to each other to find their intersection point:
250 + 50x = 150 + 75x
Solve for x:
250 - 150 = 75x - 50x
100 = 25x
x = 4
Solve for y by plugging x into an equation:
y = 150 + 75(4) = 150 + 300 = 450
Thus, the lines intersect at (4, 450)
4 hours ⇒ $450 dollars
simplify
21m^2−122m+112/9m^2−196
Answer:
3m-8/7m+14
Step-by-step explanation:
need help with my math please <3
Answer:
wth that's hard I can't answer that
Help me plsssssss jdhdhdhdud
Answer:
5/2
Step-by-step explanation:
c (constant of proportionality) = y/x = 5/2 in this case
The height of a parallelogram is 6[tex]a^{2}[/tex][tex]b^{5}[/tex] and the base of a parallelogram is 4[tex]a^{3}[/tex][tex]b^{4}[/tex] Find the area of the parallelogram using the formula A = bh
[tex]\text{Area of parallelogram} = \text{Base}~ \times~\text{Height} = (4a^3b^4)(6a^2 b^5)=24a^5 b^9[/tex]
10. Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 3 liters of natural oil for every 4
liters of synthetic oil. In order to make 518 liters of Petrolyn oil, how many liters of natural oil are needed?
Step by step please
you have the ratio of natural:synthetic so;
3:4
3+4=7
357/7=51
3*51:4°51
153:204
therefore, it'd be 204 litres of synthetic oil!!
i hope this helps you!!