Arrange the integers 1,4,8,12,17,32 so that all consecutive integers add to a perfect square. Enter your answer with numbers separated by commas.​

Answers

Answer 1

One possible answer is: 1, 8, 17, 32, 4, 12

I don't know if there's a methodical way to get this answer. I used trial and error. I started with 1 and looked through the list to see what adds to 1 to get a perfect square. That would be 8 since 1+8 = 9 = 3^2

The process is repeated but this time for 8. After a bit of guess and checking, we see that 8+17 = 25 = 5^2.

Then after 17 is 32 because 17+32 = 49 = 7^2.

Keep doing this until all of the values are used up. If you get stuck, then try backtracking to a previous branch/path where everything worked and try another fork in the road. If that doesn't work, then try starting the sequence with a completely different value (instead of 1).

Other answers may be possible. I haven't checked all possible permutations.


Related Questions

A train travels 240 miles in 5 hours. At this rate, how far could the train go in 13 hours? What is the rate of speed of the train

Answers

find the ration of miles/1 hour by dividing 240/5 and it’s 48 so the train travels 48miles per hour.
to find how far it traveled in 13 hours you multiply 48x13 = 624, the train traveled 624 miles in 13 hours.
the rate of speed of the train is 48miles/hour

Write the decimal equivalent
Two hundred and thirty-four hundredths

Answers

200.34

Two hundred = 200
34 hundredths = 0.34 (34/100)
AND means add
200.34 if you take all of the numbers break them and down and turn them into a decimal

There are 3 directors, 4 management executives, 2 statisticians and 1 administrator. A committee of 4 members among them is to be formed. Find the probability that the committee consists of i) one of each kind III) one administrator and the other three III) at least one director
I need this answer Help me?

Answers

Answer:

1) 4/35

2) 11/14

3) 5/6

Step-by-step explanation:

First find the number of selections possible.

[tex]\frac{10!}{(10-4)!4!} = 210[/tex]

There are 210 possible selections. Now we can determine the possibility for each group. For the first probability, since we only want one member from each committee, you would create a fraction by (group members in total / group member being extracted). For this instance, since its only one, we will do whole numbers. Multiply each other.

[tex]4*3*2*1=24[/tex]

The probability for each member to get selected from each kind is : [tex]24/210[/tex] or can be simplified to [tex]4/35[/tex].

The probability of (I assume) at least one administrator is slightly different. Separate our two selections, the other three and the administrator. Find the number of selections possible for the other three... 4+3+2 = 9 others.

Find the probability for both a administrator included and three others.

[tex]\frac{11}{3} * \frac{1}{1} \\\frac{11!}{(11-3)!3!} \\\\165[/tex]

[tex]\frac{165}{210} = \frac{11}{14}[/tex]

The probability for an administrator and the other three is 165/210 or 11/14.

For the last one, you will figure out what the probability is for no director and use that % to substract from 100.

4+2+1 = 7

Get selections possible.

[tex]\frac{7!}{(7-4)!4!} = 35[/tex]

Get probability of no director.

[tex]\frac{35}{210} = \frac{1}{6}[/tex]

Substract 1/6 from 100%

1 - 1/6 = 5/6

The probability of having at least one director is 5/6.

5TH GRADE LEVEL QUESTION: look at photo and answer.

Answers

Answer 11/20

Step-by-step explanation:

Answer:

11/20

Step-by-step explanation:

3/4 - 1/5

Write all numerators above the least common denominator

15-4/20

Subtract numbers

11/20

Help Hurry!!! Timed!!!!!

Answers

It’s B!!!!!!!!!!!!!

PLEASE PLEASE PLEASE HELP!!!!!!!! I GIVE 100 POINTS!!!!!!!!!!!!!

Answers

Answer:

P = 11x + 14

Step-by-step explanation:

6x - 1 + 5x + 6 + 9

Move them around

6x + 5x - 1 + 6 + 9

Combine like terms

11x + 5 + 9

Add

11x + 14

Answer:

[tex]P=11x+14[/tex]

What is 1.452 rounded to the nearest hundredth

Answers

Answer:

1.450

Step-by-step explanation:

what grade ar4e you in I'm guessing 4th or 5th

DF bisects EDG. Find FG. The diagram is not to scale.

Answers

n + 5 = 2n - 6

n - 2n = -6 - 5

-n = -11

n = -11/-1

n = 11

FG = 2n - 6

FG = 2(11) - 6

FG = 22 - 6

FG = 16

Question 1
Convert the mixed number to an improper fraction.

Answers

Step-by-step explanation:

to convert a mixed number to an improper fraction: take the big whole new on the right and multiply it by the denominators or number on the bottom of the fraction. then add thay amount to the numerator, or number on top and leave the denominator as it was before

example: 2 3/5 = 13/5

you can dissect the example to figure out the formula (formula is the way to solve an equation)

Answer:

Since you didn’t give us a mixed number is to turn into an improper fraction, I’ll show you how to do it.

Step-by-step Explanation:

First, you need to multiply the denominator by the whole number. Then, add the numerator to it. Lastly, you need to put the same denominator in that was from the mixed number to get an improper fraction. I’ll give you an example:

Look at the diagram below ↓

You can see that you need to multiply the denominator 4 and the whole number 2, which gives you 8. Then you add the numerator 3 to 8, which gives you 11. Lastly, you need to use the same denominator from the mixed, which was 4, and put it with the 11 to get the improper fraction [tex]\frac{11}{4}[/tex].

I hope you understand and that this helps with your question :)

A box of cereal contains 340 grams of carbohydrates. If there are 12 servings, about how many grams are there in one serving? Show how you estimated. Explain why your answer is reasonable.

Answers

it would be 28; 340/12=28.3 and you would round that number to 28. correct me if i’m wrong tho please!

Choose the one alternative that best completes the statement or answers the question

Answers

Answer:

B) 60

Step-by-step explanation:

5*2*3*2=60 types by multiplying all the categories together.

I would be so happy if you helped me with this question:3

Answers

Answer:

650

Step-by-step explanation:

18,000-3,000

13,000

13,000 x 5%

$650

Answer:

$900.

Step-by-step explanation:

Please Help Me. I am so mad at this freaking problem

Answers

G and d is the answer
Thanks
God bless you

Evaluate x−y when x=23 and y=−13

Answers

Answer:

36

Step-by-step explanation:

The equation would turn out as 23--13

But when there are two negatives, it turns into a positive, creating the equation of 23+13

Then you add to equal 36.

Which expression represents 5/8
8 divided by 3
8 divided by 5
5 divided by 8
3 divided by 8

Answers

Answer:

5 divided by 8

Step-by-step explanation:

/ is another symbol for ÷

Answer:

5 divided by 8

Step-by-step explanation:

What is the solution to the inequality 14y−14≥14?

Answers

14y > 0 is the answer

Answer:

[tex]y \geqslant 2[/tex]

Step-by-step explanation:

1. Add 14 to both sides.

[tex]14y \geqslant 28[/tex]

2. Divide both sides by 14.

[tex]y \geqslant 2[/tex]

solve cos^30- sin^30​

Answers

Answer:

hi

Step-by-step explanation:

hdisbkaab

bhai kyun dimag kharab kr raha hai chup chap apni mam se puch

Hii! Can someone please answer these quickly? I'm giving BRAINLIEST! ❤️

Answers

Answer:

1. 3

2. -45

3. -25

4. 220

5. 57

6. -100

7. -209

Answer:

1.) -7 + 10 = 3  (Different signs, so you subtract and keep the sign of the bigger number).

2.) -30 - 15 = -45 (same sign, so you just add and keep the same sign)

3.) 65 - 90 = -25 (Different signs, so you subtract and keep the sign of the bigger number).

4.) 100 + 120 = 220 (both positive,you add and keep the same sign, which is +)

5.) -32 + 89 = 57  (Different signs, so you subtract and keep the sign of the bigger number).

6.) 100 - 200 = -100  (Different signs, so you subtract and keep the sign of the bigger number).

2.) -75 - 12 = -87  (same sign, so you just add and keep the same sign)

An adult elephant drinks about 225 liters of water each day

Answers


Okay ? What’s the question
I don’t understand like what do you mean with it?

need help asap
Google maps determines that a destination is 50 miles away and that the average speed of a car in this area is 23.2 miles/hour. How long should Google maps predict it will take you to drive to your destination?

Answers

Answer:

2 hours, 9 minutes (and 19 seconds if u wanna be exact)

Step-by-step explanation:

What is the area of a square with side a = 3m?

Answers

Answer:

12

Step-by-step explanation:

Answer:

9 Square Meters

Step-by-step explanation:

3x3=9

Help ASAP!!!!!!!!!!!!!!
Which expression represents the difference when (x^3+3x^2+5x-7) is subtracted from (2x^2-x+1)
Answer choices
1.) -x^3-x^2-6x+8
2.) -x^3-x^2-4x-8
3.) x^3-x^2-6x-8
4.) x^3-x^2-6x+8

Answers

Answer:A

Step-by-step explanation:

slope = 2; y-intercept = -1

Answers

Answer:

line equation: y= 2x-1

Slope intercept formula

y=mx+b

m is also the slope

b is the y-intercept

y=2x+(-1)

+ positive sign and -negative sign= - negative sign

y=2x-1

Answer :

y=2x-1

An ant is climbing up a branch that is tilted 60° to the ground. It moves at a constant velocity of 0.5 cm/sec. Find the set of parametric equations that describes the path of the ant’s travel. Assume the ant starts at the origin.

Answers

Answer:

the set of parametric equation would be x(t) = 0.25t, y = 0.43t

Step-by-step explanation:

The computation of the set of parametric equation would be

x(t) = 0.5 cos 60 degrees t , y = 0.5 sin 60 degrees t

x(t) = 0.5 × 0.5t , y = 0.5 × 0.866 t

x(t) = 0.25t, y = 0.43t

Hence the set of parametric equation would be x(t) = 0.25t, y = 0.43t

The same is to be considered

The above equation represents the answer

For the entire practice:

1) B, [tex]x(t)=0.25t[/tex] and [tex]y(t)=0.43t[/tex]

2) B, 4 ft.

3) A, [tex]x=27.82[/tex], [tex]y=-4.9t^2+11.24t[/tex], horizontal distance = 63.71 m

How is Triangle ABC similar to DBE?

Answers

Answer:

Triangle ABC is similar to triangle DBE: ∆ABC~∆DBE. ... Therefore, in conformity with first sign of the similarity of triangles, if two angles of one triangle are equal to two angles of another triangle, they are similar to each other. ∠BDE=∠BAC,∠BED=∠BCA ⇒ ∆ABC~∆DBE

Below are prices for various sizes of popcorn sold at the local movie theater. Match the popcom size to its correct price
per ounce
1 Mega Bag $10.24 for 32 02.
$028
2. Giant Bag $6.00 for 24 oz
$0.25
3 Medium Bag $4.48 for 16 oz.
$0.30
4 Kid's Bag: $2.40 for 8 oz.
$0.32

Answers

Answer:

1=0.32

2=0.25

3=0.28

4=0.30

Step-by-step explanation:

You want to divide each price by the ounces.

$10.24÷32 oz = $0.32

$6.00÷ 24=$.0.25

$4.48÷16=$0.28

$2.40÷ 8=$0.30

Question 1
1 pts
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
A. an
4n + 29
B. an
25 +(-4)(n-1)
C. an = -25 +(-4)(n-1)
D. an
= 4 + 25
Edit
View
Insert
Format
Tools
Table

Answers

Answer:

The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]

Step-by-step explanation:

Given sequence is:

25, 21, 17, 13,...

Here

a1 = 25

a2 = 21

a3 = 17

First of all we have to determine the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence.

So,

[tex]d = a_2 - a_1 = 21-25 = -4\\d =a_3-a_2 = 17-21 = -4[/tex]

The explicit formula is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

Putting the value of a1 and d

[tex]a_n = 25 + (n-1)(-4)\\a_n = 25-4n+4\\a_n = 29-4n[/tex]

Hence,

The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]

What number can you divide both 4 and 2 by?

Answers

Answer:

Well, an infinite amount of numbers. . .

Step-by-step explanation:

1 and 2 would work

Are the two following expressions equivalent? ( yes or no ) 24x + 6y and 6(4x + y

Answers

Answer:

yes because on the second one you have to use the distribution property (multiply the term outside the parenthesis by the terms inside them)

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Distribute 6 to (4x+y), and you will get the same expression of 24x+6y.

4x times 6 = 24x

6 x y = 6y

24x+6y

If

Answers

Answer: If you were born in April you a amiable, and always ready to help others and a faithful lover.

Step-by-step explanation:

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