I'll do part (a) to get you started.
One possible answer to part (a) is 25,11,14,2,7,9,16
There are likely other possible answers.
The explanation is below.
==============================================================
Let's say 7 is the anchor value and we want to see which values could be its next door neighbor.
It can't be 11 since 7+11 = 18 isn't a perfect square.But 9 works because 7+9 = 16 is a perfect square (4^2 = 16)14 doesn't work because 7+14 = 21 isn't a perfect square16 doesn't work either since 7+16 = 23 isn't a perfect square2 however does work since 7+2 = 9 is a perfect squareLastly, 25 won't work because 7+25 = 32 isn't a perfect squareTo summarize this subsection, the anchor value 7 could have the neighbors 9 and 2.
So we could have 2,7,9 or 9,7,2 as a subsequence. We'll keep this in mind for later.
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Now we'll make 11 the anchor. We already checked 7 and it doesn't work.
9 doesn't work either because 11+9 = 20 isn't a perfect square
11+14 = 25 does work11+16 = 27 doesn't work11+2 = 13 doesn't work11+25 = 36 does workOf that list, only 14 and 25 are possible neighbors of the anchor value 11.
So we could have the subsequence 14,11,25 or 25,11,14.
------------------------------------------------
If 9 is the anchor, then,
9+7 = 16 works like we found earlier (section 1)9+11 = 20 doesn't work9+14 = 23 doesn't work9+16 = 25 does work9+2 = 11 doesn't work9+25 = 34 doesn't workThe values 7 and 16 are possible neighbors of 9. We could have the subsequence 7,9,16 or 16,9,7
Let's go back to the subsequence 2,7,9 and tack 16 at the end to get 2,7,9,16
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If 14 is the anchor, then,
7 doesn't work because 14+7 = 2111 does work either because 14+11 = 259 doesn't work because 14+9 = 2316 doesn't work because 14+16 = 302 does work because 14+2 = 1625 doesn't work since 14+25 = 39We could have the subsequence 11,14,2 or 2,14,11
Let's go with the first option and stick "11,14,2" in front of "2,7,9,16" to end up with the larger subsequence 11,14,2,7,9,16
We can then stick 25 at the front because 25+11 = 36 is a perfect square.
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So one possible sequence of values is 25,11,14,2,7,9,16
Here's the verification
25+11 = 36 is a perfect square (6^2 = 36)11+14 = 25 is a perfect square (5^2 = 25)14+2 = 16 is a perfect square (4^2 = 16)2+7 = 9 is a perfect square (3^2 = 9)7+9 = 16 is a perfect square (4^2 = 16)9+16 = 25 is a perfect square (5^2 = 25)Each pair of adjacent terms add up to a perfect square, so the answer is confirmed.
There are probably other solutions as well.
Side note: The video math channel "Numberphile" has a video discussing this topic in which you might be interested in. Search out "The square sum problem" with quotes (the presenter/teacher in the video is Matt Parker).
Answer:
25, 11, 14, 2, 7, 9, 16.
Step-by-step explanation:
25 + 11 = 6^2
11 + 14 = 5^2
14 + 2 = 4^2
2 + 7 = 3^2
7 + 9 = 4^2
9 + 16 = 5^2
PLEASE HELP ME ASAP!!
Answer:
(0.5, 0.5)
Step-by-step explanation:
Use the midpoint formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
The points are:
A(-2, 4)C(3, -3)[tex](\frac{-2+3}{2},\frac{4-3}{2})\\\\(\frac{1}{2},\frac{1}{2})[/tex]
Therefore, the midpoint between A and C is located at (0.5, 0.5).
Please help I’ll give brainliest if you explain.
Answer:
B
Step-by-step explanation:
there are four girls in total, and Martina is most probably a girl too. only 1 girl out of the four girls will be chosen so probability is 1/4
Find the distance between the two points in simplest radical form.
(7,-1) and (3,8)
Answer:
Submit Answer
attempt 1 ou
Answer:
sqrt( 97)
Step-by-step explanation:
To find the distance between 2 points
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
= sqrt( (3-7)^2 + (8 - -1)^2)
= sqrt( ( -4)^2 + (8+1)^2)
= sqrt( 16+9^2)
= sqrt(16+81)
= sqrt( 97)
Find the slope of the line containing the points (-3, -6) and (4, 7).
Answer:
[tex]\frac{13}{7}[/tex]
Step-by-step explanation:
→ State the slope formula
( y₂ - y₁ ) ÷ ( x₂ - x₁ )
→ Substitute in the values
( 7 - -6 ) ÷ ( 4 - -3 )
→ Simplify
[tex]\frac{13}{7}[/tex]
Answer:
slope = [tex]\frac{13}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (4, 7)
m = [tex]\frac{7-(-6)}{4-(-3)}[/tex] = [tex]\frac{7+6}{4+3}[/tex] = [tex]\frac{13}{7}[/tex]
Simplify the square root. Please explain
Answer:
4/5
Step-by-step explanation:
Square of 1: 1*1=1
Square of 2: 2*2=4
Square of 3: 3*3=9
Square of 4: 4*4=16
Square of 5: 5*5=25
Square of 6: 6*6=36
Square of 7: 7*7=49
Square of 8: 8*8=64
Square of 9: 9*9=81
Square of 10: 10*10=100
Those are the basics.
I hope this helps!
pls ❤ and give brainliest pls
Answer:
[tex] \large{ \tt{❊ \: S \: O \: L \: U \: T \: I \: O \: N \:❊ }}[/tex]
[tex] \underline{\large{ \tt{۵ \: S \: T \: E \: P \: S} }} : [/tex]
[tex] \large{ \tt{❁ \: \sqrt{ \frac{16}{25} }→\sqrt{ \frac{ {4}^{2} }{ {5}^{2} } }→ \sqrt{ (\frac{4}{5} ) ^{2} } → (\frac{4}{5} )}^{ \frac{2}{2} } → \boxed{ \tt{ \frac{4}{5} }}} [/tex]
[tex] \boxed{ \boxed{ \tt{⤳ \: OUR \: FINAL \: ANSWER : \boxed{ \frac{4}{5} }}}}[/tex]
Hope this helps! Let me know if you have any questions regarding my answer and also notify me , if you need any help! :)which of the following is equal to the rational expression when X ≠ 2 or 1?
Answer:
[tex]\frac{x+5}{x-2}[/tex]
Step-by-step explanation:
A cage holds two litter of rats. One litter comprises one female and five males. The other litter comprises seven females and two males. A random selection of two rats is done. Find the probability that the two rats are from the same litter.
Answer:
The probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.
Step-by-step explanation:
Since a cage holds two litter of rats, and one litter comprises one female and five males, while the other litter comprises seven females and two males, and a random selection of two rats is done, to find the probability that the two rats are from the same litter the following calculation must be performed:
6/15 x 5/14 = 0.1428
9/15 x 8/14 = 0.3428
Therefore, the probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.
PLEASE HELP ME!. I will give thanks, 5 star rating, and brainly to the most helpful answer, and I will report unrelated answers, so don't try me.
Three vertices of a parallelogram are (0,1), (2,0), and (2,5). Label all the possible location(s) of a fourth vertex.
Answer:
(0, 6), (4, 4), and (0, -4)
Step-by-step explanation:
basically you pick 2 sides (each with endpoints at two of the three verticies) to be the adjacent sides, and then you can easily find the fourth vertex for each case.
What is the image point of ( – 7,-2) after a translation left 5 units and down 4
uits?
Submit Answer
PLS HELP ASAP
Answer:
(-12,-6)
Step-by-step explanation:
A translation 5 units to the left (x-5)
And 4 units down ( y-4)
(-7-5, -2-4)
(-12,-6)
Name the property shown by the statement 2a = a2
Distributive property
screenshot if you need more words. seems to be a well illustrated and compact explanation right there
It takes 5 minutes for 10 people to drink 25 pints of water. At this rate, how long would it take 15 people to drink 155 pints of water
Answer:
the time taken for the 15 people to drink 155 pints is 20.67 min.
Step-by-step explanation:
Given;
10 people took 5 mins to drink 25 pints of water
[tex]The \ rate\ for \ 10 \ people = \frac{25 \ pints }{5 \ mins} = 5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 1 \ person = \frac{5}{10} \ \frac{pints}{\min} = 0.5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 15 \ people = 15( 0.5 \ \frac{pints}{\min} )= 7.5 \ \frac{pints}{\min} \\\\Time \ taken \ for \ the \ 15 \ people \ to \ drink \ 155 \ pints = \frac{155 \ pints}{7.5 \ pints/ \min} \\\\= 20.67 \min[/tex]
Therefore, the time taken for the 15 people to drink 155 pints is 20.67 min.
The opposite angles of a parallelogram are (3x + 5)° and (61 – x)°. Find the measure of four angles.
Answer:
47°;47°;113°;113°
Step-by-step explanation:
3x+5=61-x
4x=56
X=14
Solve inequality problem (urgent help please)
Answer:
B
Step-by-step explanation:
|3m-2|=>1
1 <= 3m-2 or 3m-2 <= -1
3 <= 3m or 3m <= 1
1 <= m or m <= (1/3)
Which equation represents a line which is parallel to the line y=7/6x−6?
7y-6x= -14
6x + 7y = 56
7x + 6y = 18
7x - 6y = -48
Answer:
6x+7y=56
Step-by-step explanation:
In order to have an equation that is parallel to another the slopes multiplied by one another must equal -1. In this case, the first slope is [tex]\frac{7}{6}[/tex] . So [tex]\frac{7}{6}[/tex]×what = -1
Normally you can just flip the numerator and denominator and add the opposite sign. So we can do that here. [tex]-\frac{6}{7} *\frac{7}{6} =-1[/tex]. So the equation should have [tex]-\frac{6}{7}[/tex].
But none of the answers obviously have that slope. If you try the second one, which looks different from the rest and will give you a negative x when you subtract it from both sides. Then you can divide by 7, you get [tex]y=-\frac{6}{7}x +8[/tex].
Hi ,I need help. pls?
PLS HELP ON THIS QUESTION I WILL MARK YOU BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
First we need the formula to solving a cone :
[tex]V=\pi r^2\frac{h}{3}[/tex]
We substitute pi as 3.14!
62.8 is the answer
Why?
3.14 x 5 squared x 12/3 is 62.8
Therefore the answer is 62.8
if n(p(a)) = 256. find n(a)
n(p(a)) = 256
256 = 2^8
n(a) = 8
Must click thanks and mark brainliest
What is the slope of the line ?
Answer:
B. -2
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
-2
1
= -2
θ =
arctan( ΔY ) + 360°
ΔX
= 296.56505117708°
ΔX = 3 – 0 = 3
ΔY = -2 – 4 = -6
Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994
Answer from Gauth math
Answer:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
A shopkeeper marked price of a radio is rupees 5000 is sold it allowing a discount of 10% and made a profit of rupees 500 find the cost price of the radio
the cost price of radio is Rs.4450.
What is the mode for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
10
12
13
11
Answer:
mateweew ans is 12
The mode is the value that appears most frequently in a data set.
and 12 repeats twice other once so anw is obv 12
Answer: 12
Step-by-step explanation:
jane is X years old. How old will she be in 2 year's time? How old will she be in 5 year's time?
Answer:
Jane's age = X
In 2 years time = X + 2
In 5 years time = X + 5
Step-by-step explanation:
Answer from Gauth math
Answer:
Step-by-step explanation:
Jane is X years old means she is currently X age. So 2 years later she will be 2+X years old and 5 years later she will be 5+X years old
Find the area of the triangle with sides 40, 50, and 60.
a. 75 square units
b. 992.2 square units
c. 3000 square units
d. 114.6 square units
Select the best real-world situation that can be represented by 12 + = 13.50. Group of answer choices Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers? Rachel earns $12 per hour. How long does it take her to earn $13.50? Jane has $13.50 to spend. How many roses can she buy if they are $12 each? Sarah has $12 in her checking account, but has written a check for $13.50. How much is she overdrawn?
Answer:
Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers?
Step-by-step explanation:
12 + c = 13.50
OpruonnA seems to be the best, hence, Breaking down in real world terms :
13.50 = total cost
Number of variables added to make up total cost = 2 ; this represents the cost of the 2 items purchased ; flowers and perfume
Cost of perfume = 12
Cost of flowers = c
Total cost of items = $13.50
Which greatest digit should replace m so that the number 10m6415 is divisible by 11
Answer:
Step-by-step explanation:
Sum of digits of rank even - sum of digits of rank odd must be a multiple of 11
(5+4+m+1)-(1+6+0)=11*k
10+m-7=11*k
3+m=11*k
m=8
Proof: 1086415/11=98765
plz give me fast answer
Correct answer gets 5 stars and brainliest
Answer:
12
Step-by-step explanation:
Since this is a right triangle ,we can use the Pythagorean theorem
a^2+b^2 = c^2
a^2 + 5^2 = 13^2
a^2 +25 = 169
Subtract 25 from each side
a^2 = 169-25
a^2 = 144
Taking the square root of each side
sqrt(a^2) =sqrt(144)
a = 12
Find the value of x. Round
the nearest tenth.
Answer:
x = 13.5
Step-by-step explanation:
We need to use the law of sines
sin 27 sin 34
------- = --------
11 x
Using cross products
x sin 27 = 11 sin 34
x = 11 sin 34/ sin 27
x=13.54901
To the nearest tenth
x = 13.5
Another learning aid provides a step-by-step walk-through showing the solution process for a problem similar to the one you are working on. You would click Continue to advance through each step in the solution process to show intermediate calculations at key points. While you are attempting to solve the given exercise, this learning aid can be referenced multiple times and does not load a new version of the exercise when it is accessed. Choose the described learning aid below.
Choose the described learning aid below.
a. Animation
b. view an example
c. video
d. help me solve this
e. Textbook
The answer to this question is option b. View an example helps to give a step by step walk through showing the solution to a similar problem.
The learning aid that is referenced in this question is view an example because it is a learning aid that helps the learner to solve a problem just by looking at the solution of another problem.
The solution that is being viewed has to be quite similar with the problem. Such that the learner would be able to follow through with finding a solution to his problem by following the steps in the example.
here is a similar question https://brainly.com/question/24454973?referrer=searchResults
which of the following is the sum of the numbers if the mean of five number is 6
Answer:
Step-by-step explanation:
you have to do 5+1 and then you will get 6
For 4 days the temperatures in Alaska at 9:00 a.M. Were 12 degrees, -2 degrees, -6 degrees, and 8.4 degrees, respectively. What was the average temperature?
Answer:
3.1°
Step-by-step explanation:
Given the temperature values :
12 degrees, -2 degrees, -6 degrees, and 8.4 degrees
To obtain the average temperature, take the sum of the temperatures and divide by the number of days
Sum of temperature values : (12 + (-2) + (-6) + 8.4) = 12.4 degree
Sum of temperature / 4
= 12.4 / 4
Average temperature = 3.1 degrees
