Mathematics High School

a series of 1125 consecutive integers has a sum which is a perfect cube find the smallest possible positive sum for this series?
please show your work :)

Answers

Answer 1
The smallest possible sum for the series is 91125

If zero is considered to be positive, the answer is zero (0).

otherwise

562 negative consecutive integers, then 0, then 562 positive consecutive integers has a sum of zero (0).

Moving the start, the smallest integer up 1 adds 1125 to the sum.

1125 = 9 * 125

1125 = 9 * 5³

= 9³ * 5³ is the smallest sum

= 45³

= 91125

Therefore the smallest  possible sum is 91125

for more questions like this see, https://brainly.com/question/19261165

Related Questions

Please help me with both problems I’ll mark as brainliest!!!

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Answer:

7.  x = 9

9. x=7

Help!!! can someone answer these, Thank You!

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I think we need to see question number 2 since number 3 is sequential and can’t be answered without it

!!!!!!!!!!!!!!!!!!!!!!!!!!!1

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Answer:

M=4 if not 1/4

Step-by-step explanation:

hope this helps sorry if it was incorrect have a great rest of the day :)❤

Someone please help with this math question, it is not hard if you're good at math, but I'm on a test.

Answers

Answer:

3

Step-by-step explanation:

Midpoint means EF and FG are both 8 the whole thing is 19 so 19 - 16 = 3

Can somebody help me with 20. Thank you!!!

Answers

Answer:

What do you mean, I'll help.

Step-by-step explanation:

A man with a seven gallon bucket and a four gallon bucket goes to a well to get exactly five gallons of water. He has no container other than the buckets. How can he do it?​

Answers

This I think could be technically answered in a couple of ways. Fill the 4 gallon bucket up and then fill the 7 gallon bucket up 1/7 of the way. Or fill the 4 gallon bucket up and transfer to the 7 gallon bucket and fill the 4 gallon bucket up 1/4 of the way. Either way the 1/4 or the 1/7 will be a close estimate to get your 5 gallon bucket. I hope this helps.

Use the solutions below to write the quadratic expression in standard form.


x=-6 x=2

Answers

nenchcs nsndndekksks

Which number is greater explain your reasoning .375 or 3/8? help!

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Hey there!

“Which one of is greater 0.375 or 3/8?”

3/8

= 3 ÷ 8

= 0.375

.375 = 0.375

0.375 = 0.375

So, therefore NEITHER is greater because both numbers are EQUIVALENT to (EQUAL to) each other

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

☆Answer :

⅜ = 0,375

3 ÷ 8 = 0,375

0,375 = 0,375

True.

the ratio of men to women at Wal-Mart was 3 to 5. If there were 350 women, How many men were in the store?

Answers

Answer:550

Step-by-step explanation:

Answer:

550

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what is the slope of (16,1) and (17,7)

Answers

6 or 6/1.

The slope formula is (y2-y1)/(x2-x1). Replace the formula with the actual numbers. You should have 7-1/17-16. After subtracting, you will have 6/1, which is equal to 6. Hope that helped!

If the perimeter of a rectangle is 6x^2-2x+14 and the length is x^2-x+8 what is the measure of the width?

Please help!!

Answers

Answer:

w = 2x^2-2x+15

Step-by-step explanation:

Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:

6x^2-2x+14 = 2(x^2-x+8) + 2w

Then, distribute the 2 to everything inside the parentheses.

6x^2-2x+14 = 2x^2-2x+16 + 2w

Subtract 2x^2-2x+16 from both sides, leaving you:

4x^2-4x+30 = 2w

Divide 2 from both sides.

2x^2-2x+15

The answer is 2x^2-2x+15

The half-life of krypton-91 is 10 seconds. At time t = 0 a heavy canister contains 3 g of this radioactive gas. How much remains after one minute?

Answers

Half time of krypton 91 = 10s

this means, it reduces to half of the remaining in every 10s

So, In 10 sec , the mass remaining will be :

3/2 = 1.5

After 20 sec, the mass remaining will be :

0.75 g

After 30 sec, the mass remaining will be :

0.375

After 40 sec, the mass remaining will be :

0.1875 g

After 50 sec, the mass remaining will be :

0.09375 g

After 1 minute, the mass remaining will be:

0.046975 g

Two types of binocular depth cues are __________ and __________. A. Motion parallax. . . Pictorial depth cues B. Convergence. . . Retinal disparity C. Motion parallax. . . Retinal disparity D. Convergence. . . Pictorial depth cues Please select the best answer from the choices provided A B C D.

Answers

B. Convergence… Reginal Disparity

Answer:

D. Convergence hope it helps

I need help with the whole problem

Answers

X= 30

2(30)=60
60+30=90
Right angles = 90 degrees :)

Rusty's hair grows at the rate of 1 inch per month.
4
How many months will it take Rusty's hair to grow 5 inch?
5
8
Explain your answer using words, and show your work using division of fractions.

Answers

Answer:=> 10 months

Given :

Step-by-step explanation:

Given :

1 / 4 inches = 1 month

Find :

5 / 8 inches = ? months

According to the question :

1 month = 1 / 4 inches

5 / 8 inches = ' x ' months

=> ( 5 / 8 ) / ( 1 / 4 ) = x

=> ( 5 / 8 ) × ( 4 / 1 ) = x

=> ( 5 × 2 ) / 1 = x

=> 10 / 1 = x

=> x = 10.

So, it takes 10 months.

Answer:

it would be 5 months for his hair to grow 5 inches.

Step-by-step explanation:

well, if his hair grows 1 inch per month, and it take 5 months for his hair to grow.

so multiple 1 times 5 and you get you answer

15. (07.05 MC)

What is the solution to the equation 5x + 2(x - 4) = 5x + X - 10?


Answers

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

→ Expand the brackets

5x + 2x - 8 = 5x + x - 10

→ Collect the x terms

7x - 8 = 6x - 10

→ Minus 6x from both sides

x - 8 = -10

→ Add -8 to both sides

x = -2

y=1/2x+4
y=-2x+9
elmantion or substutuion method

Answers

Answer:

(2;5)

Step-by-step explanation:

Elimination:

Let's first multiply the first by 2 to clear fractions and write them both in standard form:

[tex]\left\{ {x-2y=-8} \atop {2x+y=9}} \right. \\[/tex]

Eliminate x: Multiply the first by 2, then subtract the equations:

[tex]2I-II: 2x-4y-2x-y=-16-9\\-5y=-25 \rightarrow y= 5[/tex]

Eliminate y: Multiply the second by 2, then add equations:

[tex]I+2II: x-2y +4x+2y = -8+18\\5x=10 \rightarrow x=2[/tex]

Subtsitution

Solve the first for y (oh, what a coincidence, it's done already!) and replace the value in the second.

[tex]\frac12x +4 = -2x+9 \rightarrow \ x+8=-4x+18\\x+4x = 18-8 \rightarrow 5x=10 \rightarrow x=2[/tex]

Then let's plug this value into a convenient one - let's say, the first - and find y from there:

[tex]y=\frac12\cdot 2 +4\rightarrow y =1+4 \rightarrow y=5[/tex]

If anyone tries saying it's not substitution, bring the system in standard form, as you did for the elimination method, then solve again for y.

how long will it take the wave to reach the shore?

Answers

The answer is the last one 0.6 sec

in the diagram, angle ACB=65
what does angle BCD=

-90

-180

-65

-115

Answers

Answer:

65 is the answer.........

Answer:

the answer would be 180-65 so it is 115

Hi Looking for A helping hand


The first term in an arithmetic sequences is -9. The fifth term in the sequences is 15. The tenth term in the sequences is 45. Write the explicit form that would be used to find the nth term in the sequence. Show the steps you took to write the simplified explicit form.

Answers

Answer:

an = a1 + 6(n-1)

Step-by-step explanation:

a1 = -9, a5= 15, a10 = 45

Since is an arithmetic sequence we only add or subtract something to get to the next term. Since we got from -9 to 15 we know that we must add something and that we add it 4 times the same amount to get from -9 to 15.

a1= -9

a2= -9+6 = -3

a3= -3+6 = 3

a4= 3+6 = 9

a5= 9+6 = 15

We add 6 each time.

The explicit formula is an = a1 + 6(n-1) because

for example a5 = a1 the first term + 6* (5-1) times

                    a5 = -9 + 6* 4 = -9 + 24 = 15✅

                    a10 = a1 + 6* (10-1)

                    a10 = -9 + 6*9 = 45✅

Part 2
Directions: Use the information in the charts to answer the questions.
Type of Fruit Cost
Estimated
Cost
apple
$1.75/pound
orange
$2.35/pound
banana
$1.50/pound

Answers

Answer:

i think you need to add all that up

Step-by-step explanation:

PLEASE HELP
Find the current value of a car bought for new at $18300 which depreciates at 8% per annum over 4 years

Answers

Answer:

12, 444

Step-by-step explanation:

•First find out what is 8% of 18300

=8\100 ×18300\1 = 146400\100 =1464. [\ means ÷]

• Next multiply 1464 by 4 years =5,856

•Finally calculate 18300- 5856 = 12,444 (we are saying 18300 - 5856 because the money

decreased & 5856 represnt 8% of 18300 in 4 years)

Note :

~ Appreciation is when money increases

~Deperciation is when money decreases

Hope this helps !!!

Select the correct answer.
Which equation could represent the graphed cubic function

Answers

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

got it right

Pls help me I have to do my other work. Also this detects if it’s right or wrong:(

Answers

Umm Help with what..

someone please help me quickly PLEASEEE!!! ​

Answers

Each shirt costs 17.99
He buys 2 shirts so in sum they cost 35.98

To work out the price of 3 socks we do
45.97 - 35.98 = 9.99
This gives us price of three socks
So now we divide by 3
9.99/3 = 3.33
Answer : 3.33
If each shirt cost 17.99 both shirts would be 35.98 subtract that from the total 45.97 and you get 9.99 and if you dived that by 3 you get 3.33

The sum of two consecutive even numbers is 214. What are the numbers?​

Answers

Step-by-step explanation:

since they are consecutive even numbers, one is bigger by 2 than the other number.

so,

x + (x + 2) = 214

2x + 2 = 214

x + 1 = 107

x = 106

so, the 2 numbers are 106 and 108.

What is 5,000 x 1,000

Answers

5000 000
Five million

Answer:

The Answer is 5,000,000

Hope this helps!!

Find an equation of the line passing through the point (2, 7) with slope m= 6.

Answers

Answer:

y - 7 = 6(x - 2)

Step-by-step explanation:

1. Since we're given one point and the slope of a line, we can use the point slope form: [tex]y-y_1=m(x-x_1)[/tex]

m = slopey_1 = first y-coordinatex_1 = first x-coordinate

2. (Plugging in values)

[tex]y-7=m(x-x_1)[/tex] [tex]y-7=6(x-x_1)[/tex] [tex]y-7=6(x-2)[/tex]

Therefore, one equation of the line is y - 7 = 6(x - 2).

Jamie went on a vacation with his family. He spent 32.25% of the total cost on the airline tickets, of the total cost on hotels, and 12.75% of the total cost on food. If he spent of the remaining amount on shopping, what percentage of the total cost was spent on shopping?

Answers

Answer:

In my opinion he spent 55%

Express the following equation in standard form y=5x-3

Answers

Answer:

5x - y = 3

Step-by-step explanation:

Standard form of a linear equation is expressed as Ax + By = C

In order to express the given equation in this form, we need to isolate the constant.  We can achieve this by subtracting 5x from both sides:

y = 5x - 3

y - 5x = -3

If possible, we want A to be positive, so we can multiply both sides by -1:

-1(y - 5x) = -1(-3)

-y + 5x = 3 or 5x - y = 3

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