What is the eighth term of the arithmetic sequence defined by the rule A(n) = -12 + 2(n-1)?

Answers

Answer 1

Tn = a + d * (n-1)

T8 = -12 + 2*7

= -12 +14

= 2


Related Questions

help plssssssssssssssssss

Answers

Answer:

Diagonal and horizontal lines

Step-by-step explanation:

To answer this question it is first important to know what a function is. A function is a relationship that has a singular y value for each x-value. This means that x-values will never repeat.

Linear functions are functions that increase in a constant way. Meaning that the slope of the line is constant and there is a common difference between the points. Because the change is constant, there is no change in direction. Thus, the function will be one straight line.

This line can obviously be diagonal because a diagonal line has unique x and y values. However, the line can also be horizontal. Horizontal lines many have repeating y-values but because the x-values don't repeat it is still a function. This reason is also why vertical lines are the only straight line to not be a liner function. In vertical lines, the x-values repeat. So, it does not work as a function.

MATHS QUESTIONS PLEASE SOLVE

1. 121 Divided by 11 is

11

10

19

18





2. 60 Times of 8 Equals to

480

300

250

400





3. Find the Missing Term in Multiples of 6 : 6, 12, 18, 24, _, 36, 42, _ 54, 60.

32, 45

30, 48

24, 40

25, 49





4. What is the Next Prime Number after 7 ?

13

12

14

11





5. The Product of 131 × 0 × 300 × 4

11

0

46

45




6. Solve 3 + 6 × ( 5 + 4) ÷ 3 - 7

11

16

14

15





7. Solve 23 + 3 ÷ 3

24

25

26

27





8. What is 6% Equals to

0.06

0.6

0.006

0.0006





9. How Many Years are there in a Decade?

5 years

10 years

15 years

20 years





10. How Many Months Make a Century?

12

120

1200

12000

Answers

1. 11
2. 480
3. 30, 48
4. 11
5. 0
6. 14
7. 24
8. 0.06
9. 10 years
10. 1200

The owner of a small store buys coats for 55.00 each

He sells the coats for 66.00 each

Answers

he must buy 24 jackets to get atheist 260 dollars

What is the gradient?

Answers

Answer:

The gradient is negative.

Step-by-step explanation:

The gradient represents the rise/run ratio. Always read the line's path left to right, and if it goes up, then it is positive, down means negative gradient, and if it doesnt move then it 0. It is undefined if the line is vertical.

Ratio. Proportion and many method d) 15 workers were employed to complete a piece of work in 36 days. How many more workers should be added to complete the work in 30 days?​

Answers

Answer:

Step-by-step explanation:

total of 15(36) = 540 person•hours was used

540 / 30 = 18 people

18 - 15 = 3 people need to be added

a recipe calls for 2 cups of flour for every 3 cups of sugar. If you are planning to use 5 cups of flour, how many cups of sugar should you use

Answers

Answer:

7½ cups of sugar

Step-by-step explanation:

2 cups of flour needs 3 cups of sugar

1 cups of flour needs 3/2=1.5 cups of sugar

1×5 cups of flour needs 1.5×5=7.5 cups of sugar=7½ cups of sugar ANS

Randy can run six-tenths of a mile every 4 minutes, but it takes Julie 5 minutes. By the time Julie has run for 20 minutes, how far has Randy run?

A
1.8 miles

B
2.4 miles

C
2.6 miles

D
3 miles

Answers

Answer:

D!!!

Step-by-step explanation:

you have to make a table to see that randy has run 3 miles.!!!

Answer: D is the correct answer!

Step-by-step explanation: Like the one above me!

Convert 4pie/5 to degrees. 135° 144° 216° 225°

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

For converting radians to degree, we multiply the value in radian by [tex] \dfrac{180}{π}[/tex]

That is ~

[tex] \sf \dfrac{4 \cancel\pi}{ \cancel5} \times \dfrac{ \cancel{180} \: \: {}^{36} }{ \cancel\pi} [/tex]

[tex] \sf4 \times 36[/tex]

[tex] \sf144 \degree[/tex]

A number is between 63 and 68 It has prime factors of 2 and 11 whats the number

Answers

Answer:

66

Step-by-step explanation:

66 is the only number between 63 and 68 that is divisible by both 2 and 11.

66/2=33   66/11=6

Describe how to find all the points on a baseball field that are equidistant from second base and third base.

In the figure, m∠DBE=50. Find each of the following.

m∠BEDm angle b e d
m∠BEAm angle b e eh
x
y
BE
BC

Answers

From the given diagram, the following statements are true:

AB = BC

3y = 5y - 22

3y - 5y = -22

-2y = -22

y = 11

Similarly, m<DBE = 50 degrees

m<BED = 90 - m<DBE

m<BED = 90 - 50

m<BED = 40 degrees

Since BE = BC = 3y

BE = BC = 3(11) = 33

Also, 7x  - 2 = 40

7x = 40 + 2

7x = 42

x = 6

Get the measure of m<BEA

m<BEA = 7x - 2

m<BEA = 7(6) - 2

m<BEA = 40 degrees

Learn more on angles here: https://brainly.com/question/16281260

It takes cadence 36 hours to read 12 books. Write a unit rate that models the situation.

Answers

Answer:

three hours every 1 book

Step-by-step explanation:

36-12

6-2

3-1

please helppppppppppppp ASAP. please ensure to use step by step explanation. thanks.

Answers

I'll do the first two parts to get you started.

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

Part (i)

We can show that the operation [tex]\nabla[/tex] is not commutative by picking two random and different real numbers for a,b. In other words, I'm using a counter-example.

Let's say we go for a = 1 and b = 2

[tex]a \nabla b = \frac{3a+b}{5} - 1\\\\1 \nabla 2 = \frac{3*1+2}{5} - 1\\\\1 \nabla 2 = \frac{5}{5} - 1\\\\1 \nabla 2 = 1 - 1\\\\1 \nabla 2 = 0\\\\[/tex]

Now let's swap the values. We'll try a = 2 and b = 1

[tex]a \nabla b = \frac{3a+b}{5} - 1\\\\2 \nabla 1 = \frac{3*2+1}{5} - 1\\\\2 \nabla 1 = \frac{7}{5} - 1\\\\2 \nabla 1 = 1.4 - 1\\\\2 \nabla 1 = 0.4\\\\[/tex]

We can see that [tex]1 \nabla 2[/tex] and [tex]2 \nabla 1[/tex] are not the same value. In general, [tex]a \nabla b \ne b \nabla a[/tex] Therefore, the operation [tex]\nabla[/tex] is not commutative.

The only time [tex]a \nabla b = b \nabla a\\\\[/tex] is true is when [tex]a = b[/tex], since,

[tex]\frac{3a+b}{5}-1 = \frac{3b+a}{5}-1\\\\\frac{3a+a}{5}-1 = \frac{3a+a}{5}-1\\\\\frac{4a}{5}-1 = \frac{4a}{5}-1\\\\[/tex]

It's when [tex]a \ne b[/tex] is where the operation becomes noncommutative.

Another way to arrive at the [tex]a = b[/tex] condition is to solve the original equation for either 'a' or b.

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

Part (ii)

Using the previous part as inspiration, we'll do a counter-example to show that the operation is not associative. Pick 3 random values for a,b,c. Here are the values I'll pick.

a = 1b = 2c = 3

Then,

[tex]d = b \nabla c = \frac{3b+c}{5}-1 = \frac{3*2+3}{5}-1 = 0.8\\\\a \nabla (b \nabla c) = a \nabla d = \frac{3a+d}{5}-1 = \frac{3*1+0.8}{5}-1 = -0.24\\[/tex]

Next, we can say:

[tex]d = a \nabla b = \frac{3a+b}{5}-1 = \frac{3*1+2}{5}-1 = 0\\\\(a \nabla b) \nabla c = d \ \nabla c = \frac{3d+c}{5}-1 = \frac{3*0+3}{5}-1 = -0.4[/tex]

Let's compare the two outputs:

[tex]a \nabla (b \nabla c) = -0.24\\\\(a \nabla b) \nabla c = -0.4[/tex]

They don't match up, so [tex]a \nabla (b \nabla c) \ne (a \nabla b) \nabla c[/tex] when (a,b,c) = (1,2,3).

In general, the operation is not associative in R.

Explain this picture ​

Answers

Answer:

It's A bar graph but I got to see the question to be for sure but its a bar graph and it helps you  measure rates of things from numbers , months , years etc .

Step-by-step explanation:

Help help help math math

Answers

Answer:

gradient M = 4

Step-by-step explanation:

pick any two pairs

M= change in Y / change in X

considering the last pairs

3--1/0--1=4✓

considering first pair

-1--5/-1--2 is also 4✓

I hope it helps

Rewrite the quadratic function f(2) = 5x2 + 10x – 8 in standard form, f(x) = a (x – h)? + k, and give the vertex.

Answers

Answer: [tex]f(x) = 5(x+1)^{2} - 13[/tex]

Vertex = (-1, -13)

Step-by-step explanation:

[tex]f(x) = 5x^{2} + 10x - 8\\f(x) = 5(x^{2}+2x)-8\\f(x) = 5(x^{2}+2x+1-1)-8\\f(x) = 5((x+1)^{2}-1)-8\\f(x) = 5(x+1)^{2}-5-8\\f(x) = 5(x+1)^{2}-13[/tex]

Vertex = (h, k) = (-1, -13)

Translate the sentence into an equation using n as the unknown number. Then solve the equation for n.

5 increased by half a number is 11.

a.
5 + 0.5n = 11
n = 12
c.
5(0.5n) = 11

n = 4.4

b.
5n + 0.5 = 11
n = 2.1
d.
5n +0.5 = 11
n = 12



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

the answer is A)5+0.5n=11

Step-by-step explanation:

5 is increased by half a number, so half of. a number(n) is added to 5

Answer:

D is correct

Step-by-step explanation:

I hope this helps

5 increased by half a number is 11.

5 increased by half a number is 11. 5 + 1/2n = 11 where n is the unknown number. 1/2n = 11 - 5 = 6 n = 6 * 2 = 12 The number is 12.

18) Jacob is trying to decide whether to attend akeshore University or Bayside University. He
likes both schools equally, and both schools sent him letters of acceptance. Recently
Lakeshore University raised its tuition by 6%. Which statement is most reasonable in this
situation?
a) Jacob should attend Bayside University since it will be less expensive.
b) Jacob should gather more information about tuition before making a decision.
c) Jacob should not worry about a 6% tuition increase since this is a small percent.

Answers

Answer: B

Step-by-step explanation: Jacob doesn't know either colleges' actual price. Bayside could still be equal to or more expensive than Lakeshore.

In one week, a farmer sells pumpkins to 60% of his customers.

If 720 customers purchase pumpkins, how many total customers does the farmer have?

Answers

Answer:

1,200

Step-by-step explanation

Multiply 720 and 100 = 72,000

Divide by 60 = 1,200

Answer:

The answer is 1,200

Step-by-step explanation:

First Multiply 720 and 100 which = 72,000

Then Divide 72,000 by 60 = 1,200

From the graph, which statement is correct if x^2 – 13x + 22 ≤ 0?

A) 2 ≤ x ≤ 11
B) –11 ≤ x ≤ –2
C) x ≤ 2 or x ≥ 11
D) x ≥ 2 or x ≤ 11

please only reply if you know the answer!!

Answers

Answer:

a

Step-by-step explanation:

(x-2)(x-11) less than or equal to 0

which means x is between 2 and 11 when it is less than 0

If you connect the points where Muntinlupa City and Teresa, Rizal are located, what is the slope of the line formed from the two given places?

Answers

Using it's formula, it is found that the slope of the line formed from the two given places is of [tex]\mathbf{\frac{6}{7}}[/tex]

Given two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope is given by change in y divided by change in x, that is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this problem:

Muntinlupa is at (-1,-4);Teresa, Rizal is at (6,2).

Hence, applying the formula for the slope, considering [tex](x_1, y_1) = (-1, -4)[/tex] and [tex](x_2,y_2) = (6,2)[/tex]:

[tex]m = \frac{2 - (-4)}{6 - (-1)} = \frac{6}{7}[/tex]

The slope is of [tex]\mathbf{\frac{6}{7}}[/tex]

A similar problem is given at https://brainly.com/question/5427529

what is the point slope equation of the line that has a slope of 1/8 and goes through the point (2,-3)

Answers

Answer:

Step-by-step explanation:

(y + 3) = (1/8)(x - 2)

Help pleasee :(
no links.

Answers

-2/12 is a
-0.1 is b
1/9 is c

Hope you find this helpful!
Brainliest and a like is much appreciated!

Solve the equation for solutions over the interval ​[0​°, 360°​).
[tex]tan^{2}x + 7 tanx +8 =0[/tex]

Answers

Answer:

[tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]

Step-by-step explanation:

[tex]tan^2x+7tanx+8=0,[0^{\circ},360^\circ)[/tex]

[tex]tan^2x+7tanx+8=0[/tex]

[tex]u=tanx[/tex] <-- U-substitution

[tex]u^2+7u+8=0[/tex]

[tex](u+7)(u+1)=0[/tex]

[tex](tanx+7)(tanx+1)=0[/tex] <-- Replace u with tanx

[tex]tanx+7=0[/tex]

[tex]tanx=-7[/tex]

[tex]x=98.13^\circ,278.13^\circ[/tex]

[tex]tanx+1=0[/tex]

[tex]tanx=-1[/tex]

[tex]x=135^\circ,315^\circ[/tex]

Therefore, [tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]

Help help math math math

Answers

Answer:

Yes, this is a function

Step-by-step explanation:

You know this because it passes the vertical line test.

I hope this helps!

Answer:

Function

Step-by-step explanation:

2) through: (-4, 5) and (-5,0
what is the slope intercept form of the line

Answers

Answer:

hello

Step-by-step explanation:

say hell-o

The sum of 21 and n is equal to 43.23

please help me!!!
I’ll give out 30 points!!!

Answers

Equation: 21+n=43.23

Process to find n

21+n=43.23
Subtract 21 from both sides
n=22.23

Answer:

n=22.23

Step-by-step explanation:

21+n=43.23

-21 to both sides

0+n=22.23

n=22.23

Please please help me​

Answers

[tex]1)3k - 2k \\ = k(3 - 2) \\ = k(1) \\ = k[/tex]

[tex]2) {5x}^{2} - 10x - {8x}^{2} + x \\ = {5x}^{2} - {8x}^{2} - 10x + x \\ = - 3 {x}^{2} - 9x \\ = - 3x(x - 3)[/tex]

[tex]3) - (m + n) + 2(m - 3n) \\ = - m - n + 3m - 6n \\ = - m + 2m - n - 6n \\ = m - 7n [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

3x+4y+6z=15
Solve for x.​

Answers

Answer:

[tex]x = 5 - \frac{4}{3} y - 2z [/tex]

Step-by-step explanation:

Question:-To solve for x

Equation:-3x + 4y + 6z = 15

Solution:-

=> 3x + 4y + 6z = 15

[On subtracting both sides with 4y]

=> 3x + 4y + 6z - 4y = 15 - 4y

[On Simplification]

=> 3x + 6z = 15 - 4y

[On subtracting both sides with 6z]

=> 3x + 6z - 6z = 15 - 4y - 6z

[On Simplification]

=> 3x = 15 - 4y - 6z

[On dividing both sides with 3]

[tex] = > \frac{3x}{3} = \frac{15 - 4y - 6z}{3} [/tex]

[On Simplification]

[tex] = > x = 5 - \frac{4}{3} y - 2z \: (ans)[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{QUESTIONS:}[/tex]

3x+4y+6z=15 Solve for x.

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{ANSWER:}[/tex]

[tex]x = 5 - \frac{4}{3} y - 2z[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{SOLUTION:}[/tex]

[tex]3 \orange{+ 4y + 6z = 15}[/tex]

Move the variables to the right-hand side and change their signs.

[tex]3x = 15 \orange{ - 4 - 6z}[/tex]

Divide both sides of the equation by 3

[tex]\orange{3x = 15 - 4 - 6z}[/tex]

[tex]↓[/tex]

[tex]\orange{x = 5 - \frac{4}{3} y - 2z}[/tex]

The x-intercepts of 3x+4y+6z=15 is

[tex]x = 5 - \frac{4}{3} y - 2z[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

#CarryOnlearning

a parking garage charges $4 for the first hour and $1.50 for each additional hour. sydney has 13$ in her purse

Answers

Answer:

7 hours

Step-by-step explanation:

Answer:

she could park there for 7 hours

Step-by-step explanation:

13-4=9 9/1.50=6

The question in the picture​

Answers

1/27

Explanation:

You would multiply to get to the answer.                                                                                    

It’s blurry?…. Better picture
Other Questions
Simple question: what is bandwidth? Read the excerpt below and then select one prompt. You will choose to write either a narrative essay or an informational response paragraph.The Railway ChildrenBy Edith NesbitChapter I, The Beginning of ThingsThey were not railway children to begin with. I don't suppose they had ever thought about railways except as a means of getting to Maskelyne and Cook's, the Pantomime, Zoological Gardens, and Madame Tussaud's. They were just ordinary suburban children, and they lived with their Father and Mother in an ordinary red-brick-fronted villa, with coloured glass in the front door, a tiled passage that was called a hall, a bath-room with hot and cold water, electric bells, French windows, and a good deal of white paint, and 'every modern convenience', as the house-agents say.There were three of them. Roberta was the eldest. Of course, Mothers never have favourites, but if their Mother HAD had a favourite, it might have been Roberta. Next came Peter, who wished to be an Engineer when he grew up; and the youngest was Phyllis, who meant extremely well.Mother did not spend all her time in paying dull calls to dull ladies, and sitting dully at home waiting for dull ladies to pay calls to her. She was almost always there, ready to play with the children, and read to them, and help them to do their home-lessons. Besides this she used to write stories for them while they were at school, and read them aloud after tea, and she always made up funny pieces of poetry for their birthdays and for other great occasions, such as the christening of the new kittens, or the refurnishing of the doll's house, or the time when they were getting over the mumps.These three lucky children always had everything they needed: pretty clothes, good fires, a lovely nursery with heaps of toys, and a Mother Goose wall-paper. They had a kind and merry nursemaid, and a dog who was called James, and who was their very own. They also had a Father who was just perfectnever cross, never unjust, and always ready for a gameat least, if at any time he was NOT ready, he always had an excellent reason for it, and explained the reason to the children so interestingly and funnily that they felt sure he couldn't help himself.You will think that they ought to have been very happy. And so they were, but they did not know HOW happy till the pretty life in the Red Villa was over and done with, and they had to live a very different life indeed.The dreadful change came quite suddenly.------------------------Select only one prompt. You will choose to write either a narrative essay or an informational response paragraph.Prompt Choice 1 (Narrative Essay)Read the prompt below and write a well-developed narrative essay.How would you describe a scene from your childhood? What colors and images do you remember most clearly? Write a narrative of an early childhood memory.**Be sure that your narrative has a clear beginning, middle, and end. Use your mature voice, specific details, sensory descriptions, and dialogue. Proofread your work before submitting.Prompt Choice 2 (Informational Response)Review the excerpt above. Answer the following question in a well-developed paragraph.How does the story describe the ideal life? What details create a sense of perfection? Be sure to use information and details from the excerpt to support and explain your answer.**Be sure to re-state the question in your topic sentence and use specific examples and details from the story to support your answers. Proofread your work before submitting.(100 points) Can you help me explain According to Plato, what did the ideal state look like, as presented in his work, The Republic? Write sentences that explain the following.13. what many students in Latin America have to wear to school Help a girl out please, Ill give you so many points Carefully and completely answer the "essential question" of this activity. Usecomplete sentences and details from the model to explain your position.Essential Question: What is the relationship between photosynthesisand respiration?*Zoom in to the picture for a better view According to Hebrews 11, what did Abraham believe God would do if Isaac was slain as a sacrifice? PLS HELPP Locations and dates of bubonic plague outbreaks since 2000 (provide at least three) The bowl of fruit has a mass of 2.2 kg.What net force must act on the bowl of fruit to make it accelerate to the rightat a rate of 4.4 m/s2? (Hint: Use F = ma.)A. F = 9.68 N rightB. F = 9.68 N leftC. F = 6.60 N leftD. F= 6.60 N right Question 8 of 10How can alliteration strengthen the impact of poetic language?A. The powerful imagery makes the reader want to continue.B. 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