What is the sum of the first 11 terms in the arithmetic sequence if the first term is -3 and the common difference d is 5.  


a.
152


b.
352


c.
402


d.
242​

Answers

Answer 1

Answer:

d. 242..................

Answer 2

Answer:

d

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 5, thus

[tex]S_{11}[/tex] = [tex]\frac{11}{2}[/tex] [ (2 × - 3) + (10 × 5) ]

      = 5.5(- 6 + 50)

       = 5.5 × 44

       = 242 → d


Related Questions

Match the statement to its reason

Answers

Answer:

A,b,c,n

Step-by-step explanation:

LOL Help: Turn this number to binary: 6,300,556,744,643,768,000​

Answers

Answer:

101011101110000000100101111101000111011101011101110111011000000

Step-by-step explanation:

I hope this is right

how many times greater is the value in 2,341 than the value of the 2 in 1,234

Answers

Answer:

It is 11 times greater

Step-by-step explanation:

Answer:

1800 greater than the 2 in 1,234

Step-by-step explanation:

a. Find ∠G =
b. Find TY =
Solution: a. ∠C ≅ ∠D Thus, ∠ = 70° Solution:

help plssssss i need answer

Answers

Answer:

See below.

Step-by-step explanation:

∠G = 80°

TY = 15

∠G = ∠T (similar triangles)

OY : UN = 3: 4

TY : GN = x : 20 = 3 : 4

⇒ x/20 = 3/4

⇒ x = 15

PLS PLS PLS HELP ME!!!​

Answers

Answer:

The third one x+49+28=180

Step-by-step explanation:

We can say that the angle between the 29° angle and the 49° angle is equal to x, since they are vertically opposite angles.

The sum of 28+49+x is equal to a supplement angle which is a straight line essentially

We can then say x+28+49=180

:)

If you want to calculate x,

x=180-28-49

x=103

Write a proof for the biconditional using the inverse and contrapositive.
x ≥ 4 if and only if 3x ≥ 12.

Answers

I don’t really understand the question at hand but let me try to help

X is equal to 4 we know this because because the sign in between the number means greater than or equal to so 3 x 4 equals 12 and that makes the equation on right true and on the left x is also equal to for which also makes the statement on the right true as well so I think X = 4

I hope I was able to help and If not I’m sorry

PLEASE HELP ASAP

A banana weighs 3/8kg. and a apple weighs 2/3kg.
Determine a reasonable estimate for the weight of both fruits.

Answers

Answer 11/24 kg
That the answer

There are about 795 houses in this region. The average family size is 6 people. There are about people living in the region how many people?

Answers

4770 people living in the region on average

What is 145.4 - 140.02 ?

Answers

Answer:

5.38

Step-by-step explanation:

145.4 - 140.02 = 5.38
5.38 that is the answer, 145.5 - 140.02 = 5.38

(-2,3) and (-1,-2) in slope intercept form and point slope form

Answers

Bjsjshshsjssdddjbhhdgehhee

What is the solution to this equation?

Answers

Answer:

○ [tex]\displaystyle \textcolor{black}{D.}\:x = -100[/tex]

Explanation:

All you need to do is perfourm the the inverce of division [multiplication] to arrive at the result:

[tex]\displaystyle -100 = 5[-20][/tex]

I am joyous to assist you at any time.

An ice-skating competition lasted three days. Day one had an attendance of 16,390 people. Day two had an attendance of 16,550 people. Day three had an attendance of 16,237 people. Write the days in order from least attendance to greatest attendance. Use words or numbers to show how you know.

Answers

Answer:

[tex]Day\ 3 = 16237[/tex]

[tex]Day\ 1 = 16390[/tex]

[tex]Day\ 2 = 16550[/tex]

Step-by-step explanation:

Given

[tex]Day\ 1 = 16390[/tex]

[tex]Day\ 2 = 16550[/tex]

[tex]Day\ 3 = 16237[/tex]

Required

Order from least to greatest

Comparing 16390, 16550 and 16237.

The order of arrangement from least to greatest is:

16327, 16390 and 16550.

So, we have:

[tex]Day\ 3 = 16237[/tex]

[tex]Day\ 1 = 16390[/tex]

[tex]Day\ 2 = 16550[/tex]

I need help solving this

Answers

Answer:

[tex]-n+1[/tex]

Step-by-step explanation:

[tex](n+2)-(2n+1)[/tex]

[tex]n+2-2n-1[/tex]

[tex]-n+1[/tex] which could also be written as [tex]1-n[/tex]

4m – 3(m + 1) – 4 < 0

Answers

Answer:1m-7<0

Step-by-step explanation:

4m-3m-3-4

1m-7<0

The solution to the inequality 4m - 3(m + 1) - 4 < 0 is m < 7.

We have,

To solve the inequality 4m - 3(m + 1) - 4 < 0, we can follow these steps:

Simplify the expression inside the parentheses:

4m - 3(m + 1) - 4 = 4m - 3m - 3 - 4 = m - 7.

Rewrite the inequality:

m - 7 < 0.

Add 7 to both sides of the inequality to isolate the variable:

m - 7 + 7 < 0 + 7,

m < 7.

Therefore,

The solution to the inequality 4m - 3(m + 1) - 4 < 0 is m < 7.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ6

Karim is driving his car at a constant speed. At 11:00 A.M., the mileage reader is 66,750 miles. At 3:00 P.M., the mileage reader is 67,015 miles.
What is his speed in miles per
hour? Explain.

Answers

Answer:

His speed is 66.25 miles/hour

Step-by-step explanation:

The rule of the constant speed is:

Speed = Distance ÷ Time

∵ Karim starts his journey at 11:00 a.m. and finishes at 3:00 p.m.

→ Count the hours from 11: 00 a.m. to 3:00 p.m.

∴ He takes 4 hours ⇒ (3 + 12 - 11)

T = 4 hours

∵ The mileage reader is 66,750 miles at 11:00 a.m.

∵ The mileage reader is 67,015 miles at 3:00 p.m.

→ The distance that Karim is driving = the difference between them

∴ The distance that karim is driving = 67,015 - 66,750

D = 265 miles

→ Substitute the values of D and T in the rule above

∵ S = 265 ÷ 4

∴ S = 66.25 miles/hour

His speed is 66.25 miles/hour

2,000 divided by 5,500

Answers

0.3636363636 and so on

Answer:

4/11 or 0.36

Step-by-step explanation:

What is the slope of the line that passes through (1, 3) and (6, 7)?

Answers

Answer:

See below.

Step-by-step explanation:

(1,3),(6,7)

7-3=4

6-1=5

4/5 is the slope.

-hope it helps

Answer:

4/5

Step-by-step explanation:

Subtract the y's 7-3, put that on top.

Subtract the x's 6-1, put that on the bottom.

7-3 / 6-1

4/5

Slope is 4/5

Please help

pythagorean theorem right triangle

Answers

Answer:

7^2 +7^2=  c^2. c will be your hypotenuse  

Step-by-step explanation:

solve for x
PLEASE HELPPPPPPPP

Answers

Answer:

x=21

Step-by-step explanation:

What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πra cone with a base circumference of about 25 units a cone with a base circumference of about 50 units a cylinder with a circumference of about 25 units a cylinder with a circumference of about 50 units

Answers

hi hi hi hi hi hi hi hi hi hi hi hi hi hi ihi hi hi

Graph y=x+2.

pls help me pls asap tell me the points

Answers

Hey there!

Hope this helps,

Please mark me brainliest

An 11 pound turkey costs $15.00, while the 16 pound turkey is on sale for $20.00. How much would you save with the sale price?

Answers

Answer:

I think the answer is 11.7333

How do you solve for n? How do you find the rule? Please help me!

Answers

Answer:

The rule is "Subtract 9"

n = 11

Step-by-step explanation:

To find the rule you have to find what's common with all of them. This requires a little bit of testing.

THINK

Do I divide by 10? No because it doesn't work for all of them.

Do I divide by 4? No because it doesn't work for all of them.

Do I subtract by 9? Yes because it works for all of them.

Rules can be a lot of things. Subtraction, multipilcation, division, addition, or with variables.

what describes an equation that has a solution set of "all real numbers"

Answers

Answer:

Any value you choose for x will make the equation a TRUE statement. This type of equation is called an identity, and the solution set is all real numbers.

An identity is an equation that, regardless of the values used, is always true.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

An identity is an equation that, regardless of the values used, is always true.

For the linear equation y = mx + c, all the values of the variable x are real numbers because the quadratic function is defined.

For the quadratic equation y = (x - h)² + k, all the values of the variable x are real numbers because the quadratic function is defined.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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In a tropical rain forest, the temperature ranges from 22 degrees Celsius to 30 degrees Celsius. Write and solve a compound inequality that represents the possible temperatures (in degrees Fahrenheit) of a tropical rain forest.

Answers

Answer: 71.6°< F< 86°

Step-by-step explanation:

Let  C=  temperature in tropical rain forest (in  Celsius)

Given: In a tropical rain forest, the temperature ranges from 22° C to 30° C.

The compound inequality that represents the possible temperatures of a tropical rain forest.

22° < C < 30°

Since, [tex]\dfrac95C=F-32\Rightarrow\ F=\dfrac95C+32[/tex]

Also, At C= 22 , [tex]F= \dfrac95(22)+32=71.6[/tex]

At C= 30 , [tex]F= \dfrac95(30)+32=86[/tex]

Hence, the compound inequality that represents the possible temperatures (in degrees Fahrenheit) of a tropical rain forest.

71.6°< F< 86°

Answer:

71.6 <= T =<86

Step-by-step explanation:  

celsius= 22 a.k.a Fahrenheit= 71.6

celsius= 30 a.k.a Fahrenheit= 86

so the degree ranges from 71.6 or more to 86 or less so

Use T for tempature this is an and problem so you write it like this

71.6 <= T =<86

in english this is saying that T ( tempature ) is more or equal to 71.6 and is less or equal to 86.

Point B is on line segment AC. Given AC = 2x + 7, BC =x, and AB =5x -9, determine the numerical length of AB​

Answers

Answer:

11

Step-by-step explanation:

AB = AC-BC

2X +7 -7

OR 5X-9 = X+7

OR X =4

HENCE AB = 5X -9 = 20-9=11

PLEASE HELP!!!! Determine the period of the following graph.

Answers

Answer:

Step-by-step explanation:

A period occurs when the function goes through the x-axis 2 times.

We see this at 3π/2 and 15π/2

To Find a period Subtract one point from the other.

(15π/2-3π/2) = 12π/2 = 6π

A line has the equation y = 6x + 13 What are the coordinates of the y-intercept of the line?

I don't know guys​

Answers

Answer:

(0, 13)

Step-by-step explanation:

y=mx+b is representative where m is the slope and b is the y intercept. The b here is 13. On the graph, on the line where it crosses the y axis, the coordinates would be (0, 13).

please help e with the question #7 ty have a beautiful day​

Answers

Answer:

each child will get 2 1/3 quarts of juice each

Step-by-step explanation:

Question 7

Total amount of juice = 1 4/6 + 2 + 2 + 2 + 2 2/6 + 2 5/6 + 2 5/6 + 3 = 56/3

Number of children = 8

If the juice was shared equally:  56/3 ÷ 8 = 7/3 = 2 1/3 each

Therefore, each child will get 2 1/3 quarts of juice each

John and kim shared $2400 dollars in the ratio 2:6.What is kim's share ?

Answers

Answer:

$1800

Step-by-step explanation:

John's portion can be represented as 2x and Kim's portion can be represented as 6x as this will still be in a ratio of 2:6.  The total of 2x and 6x equals 2400 so 8x = 2400 so divide both sides by 8 to find that x = 300.  Kim's portion is 6x so 6(300) equals 1800.

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