The first term of an arithmetic progression is 80 and the common difference is -3. what is the greatest possible sum of the first n terms of this sequence, and for which value of n does it occur?

I need help with this question, in advance thank you :)​

Answers

Answer 1

Answer:

S=157

Step-by-step explanation:

an= a1+(n-1)d

a2=80+(2-1)(-3)

a2=80-3

a2=77

Sn=(a1+an)*n/2

S2=(80+a2)*2/2

S2=(80+77)*1

S2=157


Related Questions

Aanya got 5 marks in Science test. Her friend Sneha got 'x' marks more than Aanya. How many marks did they get altogether?

Pls Answer FAST

Answers

10 + x i hoped this helped

the douglas family visits sealand and is charged $72.00 for 2 adults and 3 child tickets. the williams family also visited sealand and was charged $78.00 for 1 adult and 5 child tickets. how much would it cost the lopez family to go to sealand if they have 3 adults and 4 children

Answers

SIMULTANEOUS EQUATIONS
2a + 3c = 72
1a + 5c = 78 you need to get one of them the same so do 1a +5c=78 x2 =
2a + 10c = 156 , then 2a + 10c = 156 subtract 2a +3c= 72 which is 7c = 84 divide by 7 each side so c = 12 so a child ticket is £12 then so the same for the adults so 2a +3c= 72 x 5 = 10a + 15c =360 then do 1a + 5c = 78 x3 = 3a + 15c= 234 then 10a + 15c =360 subtract 3a + 15 c= 234 = 7a = 126 then divide by 7 each side so a = 18 so an adults ticket is £18
Then do 18 + 18 + 18 + 12 + 12 + 12 + 12 = 102 so it would cost the Lopez family £102 to go to sea-land

hope this makes sense .

2-\dfrac12n=3n+162− 2 1 ​ n=3n+16

Answers

Answer:

2-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+162-\dfrac12n=3n+162− 2 1 ​ n=3n+16

Step-by-step explanation:

May I have brainliest please? :)

Question 1
Find an expression equivalent to 8(2x+1)(x-2)(x+3)

Answers

Answer:

18x + 13

Step-by-step explanation:

just add like terms after multiplying 2x + 1 by 8

16x + 8

x - 2

x + 3

18x + 13

Inside an auditorium, 1 out of 5 people wear hats, and 4 out of 5 people do not wear hats. Based on this information, predict how many wear hats if there are 215 people.

Answers

Answer:

43

Step-by-step explanation:

What is the 4th equivalent fraction to 1/8

Answers

Answer:

2/16

Step-by-step explanation:

this is the 4th equivalent fraction to 1/8

What is the slope in the equation y=3/4x

What is the y-intercept also?

Answers

Answer:

slope = 3/4

y- intercept : (0,0)

Step-by-step explanation:

15% off of $60, then subtracting 10% from that cost, is equal to

Answers

Answer:

8.1 i think

Step-by-step explanation:

Eli's Diner sold 50 milkshakes last week. 60% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream were sold?

Answers

Answer:

30 will be the number of milkshakes had whipped cream on top.

Step-by-step explanation:

Total number of milkshakes sold by Eli's Diner last week = 50

As 60% of the milkshakes had whipped cream on top.

Let x be the number of the milkshakes had whipped cream on top.

[tex]x=\frac{60}{100}\times 50[/tex]

[tex]x=\frac{60}{2}[/tex]

[tex]x=30[/tex]

Therefore, 30 will be the number of milkshakes had whipped cream on top.

Haley spent 1/2 hour playing on her cell phone that use 1/9 of her battery how long does she have to play on her phone to use the entire battery?

Answers

Answer:

4 1/2 hours.

Step-by-step explanation:

If 1/2 an hour only used up 1/9 of her battery, 9, 1/2 would give us 9/2, which if you simplified it gets you 8 1/2 hours. Hope this helps! Have a great day!

3(6d - 24) = 6(12 + 3d)
pls solve i need

Answers

3D = 32 or D = (10 2/3)

Step-by-step explanation:

We want to make D only one side so we subtract 3D from the left

Then we slowly make the equation smaller and smaller by adding 24 to each side, multiplying the numbers, then finally getting our answers.

Answer:

No solutions

Step-by-step explanation:

Distribute the 3 to the first set of parentheses:

3(6d - 24) = 6(12 + 3d)

18d - 72 = 6(12 + 3d)

Distribute the 6 to the other set of parentheses:

18d - 72 = 72 + 18d

Subtract 18d from both sides:

-72 = 72

-72 [tex]\neq[/tex] 72

Since -72 and 72 are not equal, there are no solutions

Is the sequence arithmetic? If yes, determine the common difference. *
(1 Point)
-14-9, -4, 1, 6, ...
O no, it does not increase or decrease the exact same amount
O yes, d = 5
O yes, d = -5

Answers

Answer:

Option 2: Yes, d= 5 is the correct answer

Step-by-step explanation:

An arithmetic sequence is a sequence where the common difference between the consecutive terms is same.

Given arithmetic sequence is:

-14, -9, -4, 1, 6

To check if it is an arithmetic sequence, we have to find the common difference d

[tex]a_1 = -14\\a_2 = -9\\a_3 = -4\\a_4 = 1[/tex]

Now,

[tex]d = a_2-a_1 = -9-(-14) = -9+14 = 5\\d = a_3 - a_2=-4-(-9) = -4+9 = 5\\d = a_4-a_3 = 1-(-4) = 1+4 = 5[/tex]

As the common difference is same, the given sequence is an arithmetic sequence.

Hence,

Option 2: Yes, d= 5 is the correct answer

PLEASE HELP!!
You need to factor by grouping.
Please explain the steps!

Answers

Answer:

3(k-4)(7k^2+5)

Step-by-step explanation:

1) Factor out GCF

3(7k^3-28k^2+5k-20)

2)Split into two

3) Factor

3*7k^2(k-4)+5(k-4)

3(k-4)(7k^2+5)

Of the following, which is the solution to 2x2 + 3x = −5?

Answers

Answer:

Step-by-step explanation:

Nothing to choose from??/

But 2x^2+3x=-5 is

- 3± i√31 / 4

Answer:

[tex]\frac{-3+-i\sqrt{31} }{4}[/tex]

ye

A city's population is currently 500,00. If the population doubles every 41 years, what will the population be 164 years from now?

Answers

Answer:

2,000,000

Step-by-step explanation:

164 ÷ 41 = 4

500,000 x 4

Choose the slope-intercept form of 3x + 2y = 5

Answers

Answer:

y = -3/2x + 5/2

Step-by-step explanation:

slope intercept form is y = mx + b

so we have to solve the equation for y

2y = 5 - 3x

y = 5/2 -3/2x

or

y = -3/2x + 5/2

Sixth grade Y.14 Factor using th
Factor 10y + 20z.

Answers

Answer:

17zy

Step-by-step explanation:

big brain

Answer:

y+z=30

Step-by-step explanation:

y=10 z=20

y+z=30

Find k such that the roots of the quadratic are real, rational, and equal: 9x^2+kx+1=0

Answers

Answer:

Step-by-step explanation:

9x^2+kx+1=0

k= -9x-1/x

Which of the following points would be on the graph of the equation y=−4x+6?(−4, −10)(−4, 22)(1, −10)(1, −2)

Answers

Answer:

Only the point (-4, 22)  is ON THE GRAPH of the equation. Please also check the attached graph.

Step-by-step explanation:

Given the equation

[tex]y=-4x+6[/tex]

Let us substitute all the given points to check which points satisfy the equation.

Substitute (-4, -10) in the equation

[tex]y=-4x+6[/tex]

[tex]-10=-4(-4)+6[/tex]

[tex]-10=16+6[/tex]

[tex]-10=22[/tex]

As the R.H.S ≠ L.H.S, hence (-4, -10) does not satisfy the equation.

Hence, (-4, -10) is NOT ON THE GRAPH of the equation

Substitute (-4, 22) in the equation

[tex]y=-4x+6[/tex]

[tex]22 = -4(-4)+6[/tex]

[tex]22 = 16+6[/tex]

[tex]22 = 22[/tex]

As the R.H.S = L.H.S, hence (-4, 22) satisfies the equation.

Hence, (-4, 22)  is ON THE GRAPH of the equation. Please also check the attached graph.

Substitute (1, -10) in the equation

[tex]y=-4x+6[/tex]

[tex]-10=-4(1)+6[/tex]

[tex]-10=-4+6[/tex]

[tex]-10=2[/tex]

As the R.H.S ≠ L.H.S, hence (1, -10) does not satisfy the equation.

Hence, (1, -10) is NOT ON THE GRAPH of the equation

Substitute (1, -2) in the equation

[tex]y=-4x+6[/tex]

-2 = -4(1)+6

-2 = -4 + 6

-2 = 2

As the R.H.S ≠ L.H.S, hence (1, -2) does not satisfy the equation.

Hence, (1, -2) is NOT ON THE GRAPH of the equation

Therefore, from the above analysis, we conclude that only the point (-4, 22)  is ON THE GRAPH of the equation. Please also check the attached graph.

question 4 pleeeeease help

Answers

It should be B because it is the only one with a negative sign. The first one is not a slope problem.

11) -9b^3 + 9b^2 + 2b
A) quadratic trinomial
B) cubic binomial
C) cubic monomial
D) cubic trinomial

Answers

Answer:

D. Cubic trinomial

Step-by-step explanation:

An equation for cubic trinomials look like this: Ax^3+bx^2+cx

Shawn said that in standard notation,
7.142 x 107 will have 7 zeros after the
2 because the exponent is a 7. Is he
correct? Why or why not?

Answers

Answer:

Shawn is incorrect.

Step-by-step explanation:

The decimal is moving 7 places to the right.  The 2 is the third digit, so there will be 4 0s after it.

Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. What is the value when 2 is substituted for x into both expressions? The value of each expression is 2. The value of each expression is 6. The value of one expression is 2, and the value of the other expression is 6. The value of one expression is 6, and the value of the other expression is –6.

Answers

Answer:

The value of each expression is 6.

Step-by-step explanation:

3 * 4 = 12 and 3 * 6 = 18

So 3(4x - 6) = 12x - 18

12(2) - 18 = 24 - 18 = 6

Answer:

the value of each expression is 6

Step-by-step explanation:

edge 2020

Consider similar figures QRS and TUV below where QRS is the pre-image of TUV

What is the scale factor?

Answers

Answer:

The scale factor is 2.5 to 1 which is 1/2.5

Step-by-step explanation:

Here, we want to get the scale factor in the given image

The scale factor we want to get is from the big to the small triangle

To get this, we find the ratio of the sides which are the same

Thus, we have ;

7/2.8 = 2.5

So the scale factor in this case is 2.5 to 1

A deal is a deal, so here is a good one, let's see who gets it right. I had $10.00. My mom gives me $30.00, My dad gave me $30.00. My aunt and uncle give $100.00. I had another $10.00. How much money did I have?

Answers

Answer:

$180 in total!

Step-by-step explanation:

10 + 30 + 30 + 100 + 10 = 180

the uncle and aunt gave their money together, it didn't specify that they each gave 100

Answer:

The total amount of money i have is $180.

Step-by-step explanation:

Given information:

The money i have = $10

Mom gives = $30

Dad gives = $30

Aunt and uncle gives = $100

Now i had another $10

The total amount of money (x) i have is the sum of all money i receive.

x = 10+30+30+100+10

x = 180

Hence , the total amount of money i have is $180.

For more information visit:

https://brainly.com/question/4356723?referrer=searchResults

Which of the following graphs represents the equation above -3x+2y=8

Answers

Answer:

Is there a picture of the graphs...?

Step-by-step explanation:

Anyways, the answer should be y= 3/2x +4

If you show me the graphs I could possibly help you find which one is correct.

Answer:

Step-by-step explanation:

Here are the graphs, which one goes with

y = 4 + 3/2x ?

Exercise 1: Which of the following is not an equation
(1) 2x + 3 = 10
(2) 3+2 = 5
(3) 3(2x + 1)
(4) 1+ 4 = 10

Answers

It is number 4.........

Answer:

(3) 3(2x +1 )

Step-by-step explanation:

For (1), (2), and (4), all of them give an answer while (3) does not which means that (3) is not an equation.

say hi and i will mark brainllyist or whatever

Answers

Answer:

hi hows your day

Step-by-step

(-3, 8) is a solution to the following system of equations: 4x + 3y = 12 5x + 2y = 1 True False

Answers

Answer: True

Step-by-step explanation:

Understanding Elevation
Death Valley, Califomia, has an elevation of -282 feet What does this mean?
It is 282 feet above sea level
It is 282 feet below sea level.
It is - 282 feet above sea level
Itis - 282 feet below sea level

Answers

Answer:

Step-by-step explanation:

if it has a negative elevation of 282 feet than its below sea level by 282 feet if its 282 feet above with no negative than its 282 feet above sea level i hope this helped

Answer:

hi the answer is b)It is 282 feet below sea level.\

have a nice day!

Step-by-step explanation:

mark me brainliest?

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