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

Solve for c.

c+38=113

Enter your answer as a fraction in simplest form in the box.

c =

Answers

Answer:

c = 75

Hope this helps!

Step-by-step explanation:

c + 38 = 113

c + 38 - 38 = 113 - 38

c = 113 - 38

c = 75

Help pls it’s a bit tricky

Answers

[tex]2x-5y=10\\\\\implies 5y = 2x-10\\\\\implies y =\dfrac{2x-10}5 = \dfrac{2}5 (x-5) = \dfrac{2x}5 - 2[/tex]

Answer:

(D) [tex]y = - \frac{2x}{5} - 2[/tex]

Step-by-step explanation:

The problem consist in isolate the [tex]y[/tex] variable

The steps are below:

[tex]2x -5y = 10\\-5y = 10 - 2x\\y = \frac{10 - 2x}{5}[/tex]

Know the trick is in separate the fraction in two others as this example:

[tex]\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}[/tex]

So in our case we have:

[tex]y = -\frac{10}{5} - \frac{2x}{5}\\y = -2 -\frac{2x}{5}[/tex]

That correspond to D


(b)
Write down the integer value of x that satisfies 16 < 3x < 20

Answers

Answer:

x must be 6 because 6 * 3 is 18 which is greater than 16 but less than 20. x can't be 6.1 or include decimals or fractions because integers are whole numbers just adding negative numbers so therefore 6 is the only answer for this question.

Step-by-step explanation:

Hope this is the answer you were looking for. If I am wrong I will try correcting my mistake. :)


3. Each beam of sunlight (a, b, or c above) delivers 1300 joules of energy per second (i.e. 1300 watts) overains
of the upper atmosphere, perpendicular to the direction of the beam (ie. the beam hits a flat surface. Sveta
sunlight spreads out when it hits the Earth, use your answers from 2 above to calculate the amount of enerosta
(c)
actually delivered per 100 m of surface in each of sunlight beams a, b, and c.

Answers

Answer:

i believe the answer is 13 ?

Step-by-step explanation:

1300 divided by 100 is 13 im not sure if this is right tho sry if im wrong.

a kayak rental shop rents 28 kayaks per week when it charges $25 per day. For each $5 increase in price, the shop loses four kayak rentals per week. How much should the kayak rental shop charge to maximize weekly revenue? What is the maximum weekly revenue?

Answers

found this online hope it helps :)))

If a kayak rental shop rents 28 kayaks per week when it charges $25 per day. For each $5 increase in price, the shop loses four kayak rentals per week. 720 is the  maximum weekly revenue

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

It is given that a kayak rental shop rents 28 kayaks per week when it charges $25 per day

For each $5 increase in price, the shop loses four kayak rentals per week. we need to find  How much should the kayak rental shop charge to maximize weekly revenue

R(x)=(25+5x)(28-4x)

=5(5+x)4(7-x)

=20(5+x)(7-x)

=-20(5+x)(x-7)

when x=1 it is maximum

Price when x =1 is 25+5(1)=30

To calculate maximize revenue

R(1)=(25+5)(28-4)

=30(24)

=720

Hence the maximum weekly revenue is $720.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

For a triangle. Find m<1 when the other angles are 52.2 and 44.7

Answers

Answer: 83.1

Step-by-step explanation:

52.2 + 44.7 = 96. 9

180 - 96.9 = 83.1

noah is taking a survey after answering 16 questoins

Answers

Answer:

ok

Step-by-step explanation:

I am ready noah for your survey :)

Okay, I am ready for you Noah XD

How do you do 10 th grade math

Answers

thats 4 plus 4 plus 4

solve for c 11=-1-c/2 and have a bless day

Answers

c/2= -12
c=-24.
gdjdjehshsjsjsihshsjsj

The first three terms in a pattern are shown in the
image below. How many circles would be in the
5th term?

A. 10
B. 15
C. 18
D.20

Answers

the answer is b it is 15

Please help and no links;)

Answers

Answer:

3w + 8 = 2

Step-by-step explanation:

product of a number and 3 is w * 3

eight more than the above is 3w + 8

which is equal to 2

3w + 8 = 2

a) ( -14) + 5 + 17 + 14

Answers

Answer:

= 22 is the answer, if I got it wrong I tried to help

Answer:

22

Step-by-step explanation:

Please give BRANIEST and heart!

The school is 100 meters from Miguel's house.
The following describes the most recent trip.
He walked 75 meters towards school in 3
min. Miguel realized that he left his iPad at
home.
• He tumed around and walked home at the
same speed.
He spent 5 min. looking for his iPad.
• Then he walked all the way to school at 50
meters per minute.
Use the graph tool to create a graph that accurately
represents Miguel's walk.
yeah

Answers

Answer:

i don't knoe if we can do it without the graph

The sum of two numbers is 72.The difference is 40.Find the number

Answers

the answer is 56 and 16

Step-by-step explanation:

56 and 16

50 points!! :D

not sure how to do this :/

Answers

Answer:

1

Step-by-step explanation:

x - 5 = -2( x + 1 )

=> x - 5 = -2x - 2

=> x + 2x = 5 - 2

=> 3x = 3

∴ x = 1

I need help with this please.

1. Which value is the closest to 1/9 • 24/25 (fractions)

a. 0
b. 0.5
c. 1
d. 21/20 (fraction)

Explain your answer:

Answers

Answer:

Option A: 0

Step-by-step explanation:

Given the multiplication of fractions, [tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}}[/tex]:

Simply multiply the numerators (together), as well as the denominators.

In other words:

[tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}\:=\frac{1\:\times\:24}{9\:\times\:25}\:=\:\frac{24}{225}}[/tex]

Since 24 and 225 do not have common multiples, then we cannot simplify the fraction into its lowest terms.

Next, in order to find out which is the closest value to the product, [tex]\huge\mathsf{\frac{24}{225}}[/tex], divide the numerator by the denominator, which gives you the following quotient:

[tex]\huge\mathsf{\frac{24}{225}\:=\:24\:\div\:225\:=\:0.1067}[/tex] or 0.11.

We must compare this quotient with the other options:

Option A) 0: This is a possible answer, since rounding 0.11 to the nearest ones (whole number) is 0.

Option B) 0.5:  Unlikely a valid answer, since the digit on the hundreths place is 0.11, and rounding it up to the nearest tenths will become 0.1.

Option C) 1: Definitely not a valid answer, according to the explanations provided in Options A and B.

For Option D) [tex]\huge\mathsf{\frac{21}{20}}[/tex] , we need to find its equivalent decimal form by dividing its numerator by the denominator:  [tex]\huge\mathsf{\frac{21}{20}\:=\:21\:\div\:20\:=\:1.05}[/tex]. Hence, it is also not a valid answer, according to the explanations provided in Options A and B.

Therefore, the closest value to  [tex]\huge\mathsf{\frac{24}{225}\:=\:0.11}[/tex] is Option A) 0.

Find the least common multiple of each set of numbers . 4, 10

Answers

4, 8, 12, 20

10, 20

The least common multiple of 4 and 10

I hoped this helped. :)

4. Solve 6r + 7 = 2r - 9.

r= 4
r=-4
r = 0.5
r = -0.5

Answers

Answer:

r = -4

Step-by-step explanation:

[Given] 6r + 7 = 2r - 9

[Subtract 7 from both sides] 6r = 2r - 16

[Subtract 2x from both sides] 4r = -16

[Divide both sides by 4] r = -4

So our answer is the second option, -4.

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

Step-by-step explanation:

You answer is -4. I have solved it for you.

1 point
8.) You make $42.50 babysitting for 5 hours. How much will you make in 8
hours? *
$68.00
$60.50
$64.00
$85.00

Answers

42.50 in 5 hours =
8.50 in 1 hour

So you have 8 hours
You are alt know 5 hours is 42.50
You have another 3 hours

8.50 x 3 = 25.50

42.50 + 25.50 = $68.00

Can you please solve this please and thank you.

Answers

Answer:

The answer is 3

Step-by-step explanation:

It’s 3 because with dilation your multiplying points to make a shape bigger, so multiply all the numbers by 3 and when you do that you woulda gotten what’s shown in B

The answer is 3. The images side divided by the pre-images side is your scale factor.

12/4 = 3
6/2 = 3

HELPPPPPPPPP

Those are two problems.

Answers

For 4: B (129km in 3hr)

a group can plant 3/4 acres in 1 7/8. What os the unit rate in acres per day? Write your answer in simplest form.

Answers

1 3/5+7 8/9=9 2/5 is the correct answer

8x+9y=60 2x-9y=-30 elimation method

Answers

Answer:

x=3 y=4

Step-by-step explanation:

8x+9y=60 + 2x-9y=-30

10x=30

x=3

y=4

help please??? really don't understand this:)

Answers

Answer:

9.4

Step-by-step explanation:

Each pay 7.05.

7.05 times 4 equals 28.20, so it is 28.20 for 3 tickets, they all pitched in.

Each ticket costs 9.4

Please mark brainliest

Answer:

Each ticket costs $9.4

Step-by-step explanation:

Since they're using the Cinema tickets offer, all four friends are paying actually paying for a total of 3 tickets. They get 1 ticket for free.

7.05 x 4 = 28.2 (Amount paid from all 4 friends)

Now divide 28.2 by the # of tickets they're paying for.

28.2/3 = 9.4 (Cost of each ticket)

Hope this helps! Please mark me as brainliest! :D

What’s the answer to 420 - 69?

Answers

Answer:

351

Step-by-step explanation:

Answer:

420 - 69=351

Step-by-step explanation:

HOPE IT HELP

find the surface area of this triangular prism




please help me

Answers

108 ft square

Step by step

5x8 is 40

3x4 is 12 x 1/2 is 6.

Again, 3x4 is 12 x 1/2 is 6

8x4 is 32

8x3 is 24

Add that all tigether and its 108

Each of these circles represents a pizza cut into 10 equal slices, and the yellow slices are the ones eaten by Larry.

If Larry ate $L\%$ of the total amount of pizzas, what is the value of $L$?

[asy]
unitsize(0.35inch);
defaultpen(black+1);

void pie(pair ctr, real fract, int slices, string lbl){
path c = circle(ctr,1);
draw(c);
fill(c,darkblue);
path s = (ctr+(0,1)--ctr--ctr+(sin(2*pi*fract),cos(2*pi*fract))..ctr+(sin(pi*fract),cos(pi*fract))..cycle);
draw(s);
fill(s,yellow);
for(int i=0;i draw((ctr+(sin(2*pi*i/slices),cos(2*pi*i/slices))--ctr),red+0.75);
};
label(lbl,ctr+(0,-1),S);
}

pie((0,0),1/10,10,"");
pie((2.5,0),6/10,10,"");
pie((5,0),2/10,10,"");
[/asy]

Answers

Answer:

pie((2.5,0),6/10,10,"");

Step-by-step explanation:

Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.

Answers

4x + 80 = 180
x = 25

2x + 80 = 130
2x = 50

WILL GIVE 25 PONITS! ANSWER CORRECTLY! (in attachments)

Answers

Answer:

you got to do it

Step-by-step explanation:

I dont understand what to do and what the answer is

Answers

Answer:

-1

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)=(2-4)/(0+2)=-2/2=-1

Answer:

-1

Step-by-step explanation:

[tex]\frac{(4-2)}{(-2-0)}=\frac{2}{-2} \\\frac{2}{-2}= -1[/tex]

Here is what I did to find the slope:

We will use the first two rows

The first row will be x₂ and y

The second row will be x₁ and y

The equation to find any slope is: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

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