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

Calcula lo solicitado para una persona que gana un salario de $980.000 mensuales:
auxilio de transporte: $106.454
18 dias de trabajo: sueldo /30 * los dias que le quiero pagar
auxilio de transporte: aux tras/30* los dias que le quiero pagar
EPS: 4% sueldo
total a pagar:
ayudaaa porfa es para hoy mismo

Answers

Yes baby of course totaln yess

what is equivalent to |14-20|

Answers

Answer:

7/10

Step-by-step explanation:

you eat 3/10 of a packet
of donuts. your friend eats 1/5 of
the pack of donuts. How much of
the pack do you and your friend
eat?

Answers

Answer:

5/10 or 1/2 is the answer I think

If f(1)=3f(1)=3 and f(n)=f(n-1)^2-3f(n)=f(n−1) 2 −3 whatsthe value of f(4)f(4)

Answers

Answer:

Step-by-step explanation:

So you can do that for me and you have a lot to say I don’t want you have a lot

Please help! I also don’t understand a). My friend did it for me when I wasn’t looking so if you could explain that too, that’s be great

Answers

Answer:

a) 45

b) No. AD and BC arent parallel.

Step-by-step explanation:

a)

3x + 2x + x + 90 = 360

6x = 270

x = 45

Hope you could understand.

If you have any query, feel free to ask.

Which fraction is equivalent to 9/12

Answers

Answer:   Choice B)  15/20

=========================================================

Explanation:

Let's check to see if 9/12 is the same as 16/24.

Set them equal to one another, and then use cross multiplication like so

9/12 = 16/24

9*24 = 12*16

216 = 192

Both sides aren't the same value after simplifying everything. The third equation being false leads to the first equation being false as well.

Therefore, 9/12 is not the same as 16/24. We can rule out choice A.

-----------------------

Let's check choice B

9/12 = 15/20

9*20 = 12*15

180 = 180

We have a match, so 9/12 is the same as 15/20

Notice how:

9/12 = 0.7515/20 = 0.75

Both fractions lead to the same exact terminating decimal, which is more evidence that the two fractions are equivalent.

Choice B is the final answer.

The amount of oil it takes to cover the bottom of a frying pan.

Answers

Answer:

about 1 cup maybe less

Step-by-step explanation:

Marlee has to find the point that divides the line segment between the points P(-6, 10) and R(2, -4) exactly in half. Marlee states: "the answer is M(-2, 3). Since a midpoint divides a line segment into 2 equal parts, I used the midpoint formula." Is this a logical argument?

Please choose one of these choices.:

A. Yes; using the midpoint formula will determine the middle point of a line segment.
B. No; she should have used the distance formula.
C. No; she should have used the quadratic formula.
D. No; she should have used the slope-intercept formula y = mx + b.

Answers

Answer:

A.

Step-by-step explanation:

If you use the points P(-6,10) and R(2,-4) and put them it the midpoint formula you would get (-2,3) therefore it would be logical to use it

Last year at a certain high school, there were 60 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll increased by 10% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

19.3%

Step-by-step explanation:

There were 10% * 60 = 6 more boys, and 25% * 100 = 25 more girls, so in total 31 more students got on the honor roll. From 160 to 191, the percentage is 31/160 = 0.19375  

0.19375 = 19.3%

It is normal for some newborn babies to lose weight in their first week of life. Baby Todd's birth weight was 10 pounds. One week after being born, he is 10% lighter. What is Todd's current weight? pounds Submit

Answers

Answer:

9 pounds

Step-by-step explanation:

100% - 10% = 90%

90% -> .9

[Solving] 10 * .9 = 9

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

9 pounds

Step-by-step explanation:

10% of 10 pounds is 1 pound so baby Todd's current weight is 9 pounds.

which statement is correctly written as a conditional statement ​

Answers

Answer:

a shape has four sides,or it is a quadrilateral

Write a simplified expression for the perimeter of the triangle.
6x - 1, 5x + 6, 9
Perimeter : __ Units

Answers

Answer:

6973 t u 6hud3w. don't knoow

Answer:

the answer is 11x+14

Step-by-step explanation:

 (h[tex]2[/tex] b[tex]\2[/tex])/2

2. Kyle owes his sister 24. He gives his sister $15 that he earned mowing
lawns. Write and simplify an addition expression to find how much Kyle
still owes his sister. (leton 2)

Answers

ok so he is owing his sister 24 and he gives her 15

so 24-15=9

but as an addition expression it will be

x+15=24

x=24-15

x=9

List the sides from shortest to longest in ABC. A 630 50° с B O A. AB,BC , AC о B. BC , AC , AB C. D. AC , BC, AB not enough information O
Help Please!​

Answers

Answer:

  A.  AB, BC, AC

Step-by-step explanation:

The side lengths have the same order (smallest to largest) that their opposite angles have.

Angle B = 180° -50° -63° = 67°

The angles, smallest to largest, are C = 50°, A = 63°, B = 67°.

Their opposite sides (shortest to longest) are AB, BC, AC. (matches choice A)

help pls ! i need to do this and i cannot figure this out

Answers

I think it’s 8 too!!!
With them being similar I noticed the bigger triangle is 18 and the second is 12. So the smaller triangle was shrink by 1/3 which give 1he 12 for the bigger triangle you take 1/3 away in which your left with 8.

Can someone pls help me!

Answers

Answer:

x is -3

Step-by-step explanation:

The temperature of one furnace is 1,200°C and cools at a rate of 15°C per minute. The temperature of another furnace is 900°C and is heated at a rate of 5°C per minute. After how many minutes will the furnaces be the same temperature? Write the answer as a whole number or decimal. __ minute(s)

Answers

Step-by-step explanation:

how many cups of water do you need to fill fill one jar

Find the median of the first 13 natural numbers

Answers

Answer

116.4k+ views

Hint: We will write the first ten odd natural numbers and then add them to find their sum. We will then substitute the values in the formula of arithmetic mean , a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.

Complete step-by-step answer:

We have to find the arithmetic mean of first ten odd natural numbers .

Natural numbers are counting numbers and starts from 1.

Odd numbers are not multiples of 2.

The first ten odd natural numbers are 1,3,5,7,9,11,13,15,17,19.

Arithmetic mean is calculated by adding all the observations by the total number of observations.

Arithmetic mean is given by a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.

Therefore, we will calculate the sum of the first ten odd natural numbers.

⇒1+3+5+7+9+11+13+15+17+19⇒100

Now, we will divide this by 10 as there are a total 10 numbers.

10010=10

Hence, the arithmetic mean of first ten odd natural numbers is 10.

Note: Arithmetic mean is also known as average or simply mean. Odd numbers are not divisible by 2. The sum of n odd natural numbers is also given by n2

Kristen and Marina are making prisms out of cardboard using the designs shown below.



Whose design uses more cardboard, and by how many square inches? Show how you determined your answer.

Answers

Answer:

kristen

Step-by-step explanation:

give the intersection points of y=x^5 and y=x^7

Answers

Step-by-step explanation:

that means both functions deliver the same result for the same x.

therefore

x⁵ = x⁷

one solution is of course, x = 0.

the other(s) we get for x<>0 by dividing both sides by x⁵ :

1 = x²

that means we have 2 more solutions (a quadratic equation has 2 solutions, a cubic equation has 3 solutions,...) :

x = 1

x = -1

so, the intersection points are

for x = 0, we get y = 0⁵ (or 0⁷) = 0

for x = 1, we get y = 1⁵ (or 1⁷) = 1

for x = -1, we get y = (-1)⁵ or (-1)⁷ = -1

(-1, -1)

(0, 0)

(1, 1)

The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).

What is Intersection point?

The intersection point is the point at which the two lines are cuts to each other.

Given that;

The equations are,

⇒  y = x⁵

⇒ y = x⁷

Now, Solve for intersection point as;

The equations are,

⇒  y = x⁵

⇒ y = x⁷

Equate both equation to each other, we get;

⇒ x⁷ = x⁵

Subtract x⁵ both sides , we get;

⇒ x⁷ - x⁵ = x⁵ - x⁵

⇒ x⁷ - x⁵ = 0

⇒ x⁵ (x² - 1) = 0

This gives two conditions;

⇒ x⁵ = 0

or, ⇒ x² - 1  = 0

Solve both the equations as;

⇒ x⁵ = 0  

⇒ x = 0

And,  x² - 1  = 0

( x - 1 ) (x + 1) = 0

x = 1 or x = -1

Thus, The values of x are 0 , 1 and -1.

So, The intersection points are;

For x = 0; y =  x⁵ = 0

For x = 1; y =  x⁵ = 1

For x = -1; y =  x⁵ = -1

Thus, The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).

Learn more about the intersection point visit:

https://brainly.com/question/15074194

#SPJ2

Simplify 2y+4x=16x +6y ​

Answers

The Answer would be y=-3x

Find the next two numbers in the pattern -96, 48, -24, 12,...​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given sequence is a geometric ~

let's find the common ratio (r) first ~

[tex] \dfrac{48}{ - 96} [/tex]

[tex] - \dfrac{1}{ 2} [/tex]

And the first term (a1) of the sequence is ~ -96

let's find the 5th and 6th term.

The value of 5th term is ~

[tex]a_1{(r )}^{n - 1} [/tex]

[tex] - 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 - 1} [/tex]

[tex] - 96 { \bigg( - \dfrac{ 1}{2} \bigg) }^{4} [/tex]

[tex] - 96 \times \dfrac{1}{16} [/tex]

[tex] - 6[/tex]

The value of 6th term is ~

[tex]a_1{(r )}^{n - 1} [/tex]

[tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{6 - 1} [/tex]

[tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 } [/tex]

[tex] - 96 \times - \dfrac{1}{32} [/tex]

[tex]3[/tex]

(7,1) and (-5,1)
Find the slope of the line that passes through the 2 points.

Answers

☆Answer : (X1, Y1) = (7, 1) (X2, Y2) = (-5, 1)

m = (Y2 - Y1)/(X2 - X1)

m = (1 - 1)/(-5 - 7)

m = 0/(-12)

m = 0

three fifths of the children in a school are boys seven eighths of the girls in the school are right handed. What fractions of the children in the school are left handed girls?

Answers

Answer:

Step-by-step explanation:

Firstly, we need to get the fraction that are girls

What we have to do is to subtract the three-fifths from the total fraction of 1

Mathematically,that would be :

1- 3/5=2/5

We have it that seven-eigths of the girls are left-handed. This mean one-eight of the girls are left handed

To get the fraction of the school that are left handed, we multiply the fraction of girls by the fraction of left-handed girls

We have this as:

1/8 x 2/5=1/20

We have it that 1/20 of the children are left-handed girls

Evaluate -24=(-6)-(-18).

Answers

Answer:

−24= 12

Step-by-step explanation:

Answer:

-2=1

Step-by-step explanation:

-24=(-6)-(-18)

-24=(-6)+18

-24=12

-24/12 = 12/12

-2=1

(2 negatives make a positive)

help will reward brainly

Answers

Answer: Positive but I might be wrong I haven't done slopes in a while

Step-by-step explanation:

Positive because from left to right it goes up

If it were negative, it would go the opposite way

Pleaseee helpppp me!!!!!!!!!!!!! ​

Answers

Answer:

The graph is linear and increasing from x = -6 to x = -2.

The graph is nonlinear and decreasing from x = -2 to x = 0.

Step-by-step explanation:

Linear means it has a constant slope, or a constant rate of change. That makes a straight line on a graph. On the given graph, you can see the straight line increasing from x = -6 to x = -2.

Non-linear is just anything that isn't a constant slope, and makes a curve on a graph. On the given graph, the curve decreases from x = -2 until x = 0, where it reaches its lowest point and starts heading upwards again.

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9

Answers

Answer:

think its a

Step-by-step explanation:

the slope is 2/1 but both y int are different

The remainder obtained when x⁴ +15x³ +6x² - 12x + 3 is divided by (x+2) is____.​

Answers

Answer:

-53

Step-by-step explanation:

(x+2)

x^4 =       -2^4 = 16

15x^3 =     15* (-2)^3 = -120

6x^2 =       6(-2^2) = 24

12x =        12*(-2) = -24

substitute into equation:

x^4 + 15x^3 + 6x^2 - 12x + 3 = 16+ (-120) + 24 - (-24) + 3 = -53

Given Polynomial is x^4 +15x^3 +6x^2 - 12x +3

Divisor = x+2

We know that

Remainder Theorem:

Let P(x) be a polynomial of the degree is greater than or equal to 1 and (x-a) is another linear polynomial,If P(x) is divided by (x-a) then remainder is P(a).

So, P(x) is divided by (x+2) then the remainder is P(-2).

P(-2) =

⇛(-2)^4+15(-2)^3+6(-2)^2-12(-6)+3

⇛ 16+15(-8)+6(4)+72+3

⇛16-120+24+72+3

⇛ 67-120

⇛ -53

P(-2) = -53

Answer:- The remainder is -53.

Also read similar Questions: What is the remainder when the polynomial 7x^2+15x-12 is divided by x+3?..

https://brainly.com/question/11432486?referrer

The remainder obtained when x^4 + 3x^2 - 2x + 2 is divided by (x + b) is the square of the remainder obtained when x^2 – 3 is divided by (x + b...

https://brainly.com/question/12784556?referrer

3/4 ÷ 1/2 +1 ddgngadgaekyfyuktyjrthrgefwretrytjyktuli;obpnML"NKP?boliykujhtgrfedw

Answers

Answer:

5/2

Step-by-step explanation:

alternative = 2 1/2 , 2.5

Other Questions
In a skiing competition. Jen finishes in 13.524 seconds, Ali finishes in 13.51seconds and Sofia finishes in 13.5 seconds. Who finished first? The gated channels that respond to physical distortion of the membrane surface are called ________. These channels are important in ________. 2. Which of the following could be an example about theme?A moral or lesson for the reader to learn.An observation about life that the author wants to share.A universal idea the author wants you to think about.All of the above.None of the above. If x^2 - (3x-a) (bx-1) = c, where a, b, and c are constants, what id the value of c?A. 9B. 7C. 13D. 2 I can't come over today, Jessica. I have to study for the vocabulary test Martha said on the telephone.Choose the correct punctuation below. Question 1 options:"I can't come over today, Jessica. I have to study for the vocabulary test," Martha said on the telephone. I can't come over today, Jessica. I have to study for the vocabulary test, Martha said on the telephone. "I can't come over today, Jessica. I have to study for the vocabulary test?" Martha said on the telephone. an alloy is 70% iron. How much of this alloy do you need if you want to obtain 50.35 lb of iron? Please help me! Im making the first correct answer brainliest! Read this excerpt from Mukherjees memoir and answer the question.I have found my way to the United States after many transit stops. The unglimpsed phantom Faridpur and the all too real Manhattan have merged as desh. I am an American. I am an American writer, in the American mainstream, trying to extend it. This is a vitally important statement for me I am not an Indian writer, not an expatriate. I am an immigrant; my investment is in the American reality, not the Indian.It took me ten painful years, from the early seventies to the early eighties, to overthrow the smothering tyranny of nostalgia.In the above excerpt, Mukherjees imagery of overthrow the smothering tyranny of nostalgia means what?Sentimental attachment to her country of birth stifled her ability to express herself as an American writer.She regrets losing her cultural identity as an Indian.Immigrants have to learn to forget their past in order to be successful in America.The United States enabled her to escape the political and artistic oppression she suffered before emigrating. The manager of a children's puppet theatre has determined that the number of adulttickets he sells for a Saturday afternoon show is a random variable with a mean of 28.3tickets and a standard deviation of 5.3 tickets. The mean number of children's tickets hesells is 42.5, with a standard deviation of 8.1.(a) The adult tickets sell for $10. Let A = the money he collects from adult tickets on arandom Saturday. What are the mean and standard deviation of A? Human Resource Manager.What changes do you expect to see in this sector in the next 5 years?What skills and experience will you need to develop now and, in the future, to equip yourself for success in your chosen role? for the thin homogeneous wire shown, determine the x coordinate of its centroid using the "method of parts". what is the first step in solving problem using GMDAS? PLEASE HELP ME.. Please help and no links, thanks:) that would be nice 7990 was rounded to the nearest ten. What is the lower bound? how long can you have appendicitis symptoms before it bursts? Develop a possible conversation between you and your friend about how women should be treated at home and at work place Plzzzzz answer this minimum in 7-8 lines HELP IM TIMED!!!!!!!Question 8(Multiple Choice Worth 5 points)(LC)STORIES OF USEFUL INVENTIONS, excerptBy S. E. Forman1911THE MATCHThere never was a time when the world was without fire, but there was a time when men did not know how to kindle fire; and after they learned how to kindle one, it was a long, long time before they learned how to kindle one easily. In these days we can kindle a fire without any trouble, because we can easily get a match; but we must remember that the match is one of the most wonderful things in the world, and that it took men thousands of years to learn how to make one. Let us learn the history of this familiar little object, the match.Fire was first given to man by nature itself. When a forest is set on fire by cinders from a neighboring volcano, or when a tree is set ablaze by a thunderbolt, we may say that nature strikes a match. In the early history of the world, nature had to kindle all the fires, for man by his own effort was unable to produce a spark. The first method, then, of getting fire for use was to light sticks of wood at a flame kindled by natureby a volcano, perhaps, or by a stroke of lightning. These firebrands were carried to the home and used in kindling the fires there. The fire secured in this way was carefully guarded and was kept burning as long as possible. But the flame, however faithfully watched, would sometimes be extinguished. A sudden gust of wind or a sudden shower would put it out. Then a new firebrand would have to be secured, and this often meant a long journey and a deal of trouble.In 1827, John Walker, a druggist in a small English town, tipped a splint with sulphur, chlorate of potash, and sulphid of antimony, and rubbed it on sandpaper, and it burst into flame. The druggist had discovered the first friction-chemical match, the kind we use to-day. It is called friction-chemical because it is made by mixing certain chemicals together and rubbing them. Although Walker's match did not require the bottle of acid, nevertheless it was not a good one. It could be lighted only by hard rubbing, and it sputtered and threw fire in all directions. In a few years, however, phosphorus was substituted on the tip for antimony, and the change worked wonders. The match could now be lighted with very little rubbing, and it was no longer necessary to have sandpaper upon which to rub it. It would ignite when rubbed on any dry surface, and there was no longer any sputtering. This was the phosphorus match, the match with which we are so familiar.What does the author mean by we may say that nature strikes a match?A. Matches were created by nature.B. Matches did not help people.C. Matches required natural chemicals.D. Nature provided fire for humans. Define the sample space, S, of a fair coin being tossed once.S=A. {H, T}B. {H, H}C. {T, T} In one week, a bakery made 1,424 trays of 25 chocolate chip cookies. The bakery also baked 628trays of 19 sugar cookies. How many cookies did the bakery bake during the week? ")