Find the 7th term of the following arithmetic sequence. a1 = -12, d = 2

Answers

Answer 1

Answer:

The 7th term is 0

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because every term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)d[/tex]

Where

an = nth term

a1 = first term

d   = common difference

n  = number of the term

We are given the first term a1=-12 and the common difference d=2. Let's find the 7th term (n=7):

[tex]a_7=-12+(7-1)2[/tex]

[tex]a_7=-12+12=0[/tex]

The 7th term is 0


Related Questions

You are at the bottom of a mountain where the temperature is 74°F. The top of the mountain is 5500 feet above you. What is the temperature at the top of the mountain?

Answers

For every 1,000 feet you go up in elevation, the temperature decreases by about 3.3°F

 

Given:

Temperature at the bottom of the mountain is 74°F

The top of the mountain is 5500 feet above you

 

Change (reduction) in temperature is 3.3 X 5500 / 1000

= 18.15°F

 

Temperature at the top of the mountain is 74°F – 18.15°F

= 55.85°F

30 POINTS ! TRUE OR FALSE?

Answers

False, they're perpendicular

Answer:

False

Step-by-step explanation:

7w + 3 + 2w + 9 simplified

Answers

The answer is 9w + 12

hope this helps!

Answer:

9w + 12

Step-by-step explanation:

First, add the 7w and the 2w

7w + 2w = 9w

Second, add 3 and 9

3 + 9 = 12

Last, add the two together

9w + 12 =

Hope this helps!

A student is riding a bicycle and sees a traffic light that is 50 feet away.The vertical distance between the traffic light and the student is 14 feet.The student also notices a helicopter at an angle of elevation of 82°.The helicopter is directly above the traffic light.To the nearest tenth of a foot ,what is the vertical distance between the student and the helicopter?

Answers

Answer:

50-14= your answer .

82-your answer

Step-by-step explanation:

The vertical distance between the student and the helicopter is 341.5 feet.

What are trigonometric angles?

Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.

Given that, a student is riding a bicycle and sees a traffic light that is 50 feet away.

Here, sinx°= 14/50

sinx°=0.28

x°=16.26°

Now tan16.26°=14/p

0.2916=14/p

p=14/0.2916

p=48

tan82°=v/48

7.1153=v/48

v=7.1153×48

v=341.5 feet

Therefore, the vertical distance between the student and the helicopter is 341.5 feet.

Learn more about the trigonometric angles visit:

brainly.com/question/24174128.

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50 points please lmk how to do this

Answers

Answer:

ZD= OY= 42

DO= ZY= 25

YV= VD= 60/2= 30

ZV= OV= 18

Step-by-step explanation:

Parallelogram is same as rectangle so opposite side will be same, just like rectangle. and for diagnoal, V bisect both diagnoal so, ZV=VO and YV=VD

Hope this helps!!

Kayla has bank account with $250. She goes to Dunkin Donuts and buys the same meal of $8.25 each day. How much money does she have in her account after going to Dunkin 5 days in a row?​

Answers

Answer: $208.75

Step-by-step explanation:

8.25x5= 41.25    250-41.25= 208.75

Answer:

$8.25 x 5 days = $41.25

$250 - $41.25 = $208.75

Kayla has $208.75 in her bank after going to Dunkin' Donuts five days a row.

Step-by-step explanation:

PLS mark as brainliest answer, please??

thanks

whats the answer to 2 x 2 x 4 x 4 x 4 x 5 x 5 x 5 x 5 use expoments for the answer

Answers

Answer:

160,000

Step-by-step explanation

[tex]2^{2} X 4^{3} X 5^{4}[/tex]

2 x 2 = 4

4 x 4 x 4 = 64

5 x 5 x 5 x 5 = 625

4 x 64 x 624 = 160,000    

please answer ASAP. 10 points and will give brainiest

Answers

Answer:

525 yd should be your answer

Step-by-step explanation:

Pleasee help me I’ll mark u brainliest!!

Answers

Answer:

[tex] m\angle XYW = (155 - 20x

)\degree [/tex]

Step-by-step explanation:

[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\

150\degree = m\angle XYW +(20x-5)\degree \\\\

150\degree - (20x-5)\degree = m\angle XYW \\\\

(150 - 20x

+5)\degree = m\angle XYW \\\\

(155 - 20x

)\degree = m\angle XYW \\\\

m\angle XYW = (155 - 20x

)\degree \\\\

[/tex]

PLEASEEEEE HELP MEE will give brainliest

Answers

I'm not sure if it's correct...........

Simplify the expression (2−3i) (5+i) by distributing. Express your answer in a+bi form, Step by Step.

Answers

Answer:

13-13i

Step-by-step explanation:

2(5+i)-3i(5+i)

10+2i-15i-3i²

10-13i+3

13-13i

Using ƒ(x) = 2x + 7 and g(x) = x − 3, find ƒ(g(-2)).

Answers

Answer:

We conclude that:

f(g(-2)) = -3

Step-by-step explanation:

Given

f(x) = 2x + 7g(x) = x-3

To determine

f(g(-2)) = ?

In order to determine f(g(-2)), first we need to determine g(-2)

so substituting x = -2 in g(x) = x-3

g(-2) = -2 - 3

        = -5

Thus,

f(g(-2)) = f(-5)

now substitute x = -5 in the function f(x) = 2x+7

f(x) = 2x+7

f(-5) = 2(-5) + 7

f(-5) = -10 + 7

f(-5) = -3

so

f(g(-2)) = f(-5) = -3

Therefore, we conclude that:

f(g(-2)) = -3


How long does it take the snall to crawl 76 inches? Enter your answer as a decimal number.

Answers

Answer:

How long is the snail, what is its terminal velocity, what kind of snail, and also wheres the the graph or picture?

Step-by-step explanation:

The table shows the weights y
of x
pints of blueberries.

Number of Pints, x
0 1 2 3 4 5
Weight (pounds), y
0 0.8 1.50 2.20 3.0 3.80
a. Graph the data shown in the table using the coordinate plane provided to the right.

Question 1
b. A line that could best approximate the points could go through which two points below?
A line that could best approximate the points could go through Response area.

(0,0)
and (5,3.75)
(2,1.50)
and (4.5,2.25)
(0,0)
and (2,2.25)
Question 2
c. Use the points you chose in part (b) to write an equation of the line.
y=
y
=


d. Use the equation to predict the weight of 10 pints of blueberries.

Ten pints of blueberries weight about pounds.

e. Blueberries cost $2.25 per pound. Use the equation to predict how much 10 pints of blueberries will cost, to the nearest cent.

Ten pints of blueberries will cost about $
$
.


Question 3
PointMove
UndoRedoReset
PintsWeight (pounds)

Answers

The table that shows the relationship between the weights of pints of blueberries is a linear regression function

The equation of the line is y = 0.75xTen pints of blueberries weigh about 7.5 pounds.Ten pints of blueberries will cost about $16.875

The graph

The table entry is given as:

x 0   1     2     3       4     5

y 0 0.8 1.50 2.20 3.0 3.80

See attachment for the graph

The points on the line

A line that could best approximate the points could go through the origin (0,0) and (5,3.75)

The line equation

We have the points to be (0,0) and (5,3.75)

Since the line passes through the origin, the equation of the line would be:

[tex]y = \frac{y_2}{x_2}x[/tex]

So, we have:

[tex]y = \frac{3.75}{5}x[/tex]

[tex]y = 0.75x[/tex]

Hence, the equation of the line is y = 0.75x

The weight of 10 pints of blueberries

This means that x = 10.

So, we have:

y = 0.75 * 10

y = 7.5

Hence, ten pints of blueberries weigh about 7.5 pounds.

The cost of 10 pints of blueberries

The unit rate is $2.25 per pound

Ten pints of blueberries weigh about 7.5 pounds.

So, the cost of 10 pints is:

Cost = 7.5 * 2.25

Cost = 16.875

Ten pints of blueberries will cost about $16.875

Read more about linear regression at:

https://brainly.com/question/17844286

Juan has a piece of fabric with a length of 5/9 yard and a width of 3/10 yard. What is the area of Juan's piece of fabric? Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

The area of the given cloth is 1/6 yards².

What is an area?The measurement that expresses the size of a region on a plane or curved surface is called an area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

So, the area of the cloth:

The length of the cloth is 5/9 yards.The breadth of the cloth is 3/10 yards.

So, we know that it is a rectangular cloth.

Area of rectangle: l × b

Calculate the area as follows:

l × b5/9 × 3/1015/901/6 yards²


Therefore, the area of the given cloth is 1/6 yards².

Know more about areas here:

https://brainly.com/question/25292087

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PLEASE HELP ME
ILL GIVE YOU BRINIEST

Answers

Answer:

it is the second one

Step-by-step explanation:

Tayler enlarged triangle A proportionally. She made each side 2.5 times as long. Use the drop-down menus to complete the statements below.

Answers

Answer:

Cheater  LOL JK

Step-by-step explanation:

Im here for the points so like PAY ATTENTION IN CLASS AND STOP CHEATING CHILD

there are 3 more games of cribbage being played than games of chess being played. how many of each game are being played. explain and show your reasoning

Answers

Answer:

Step-by-step explanation:

8 chess & 11 cribbage

Plsss help I don't know how to graph I will give brainiest!

Answers

Answer: (2, 5)

Step-by-step explanation:

y = 2x + 1 y = 4x − 3

Eliminate the equal sides of each equation and combine.

2x + 1 = 4x − 3

Solve 2x + 1 = 4x − 3 for x.

Move all terms containing x to the left side of the equation.

Subtract 4x from both sides of the equation.

2x + 1 − 4x = −3

Subtract 4x from 2x.

−2x + 1 = −3

Move all terms not containing x to the right side of the equation.

Subtract 1 from both sides of the equation.

−2x = −3 − 1

Subtract 1 from −3.

−2x = −4

Divide each term by −2 and simplify.

x = 2

Evaluate y when x = 2.

Substitute 2 for x. y = 4 (2) − 3

Simplify 4 (2) − 3.

Multiply 4 by 2.

y = 8 − 3

Subtract 3 from 8.

y = 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

(2, 5)

The result can be shown in multiple forms.

Point Form:

(2, 5)

Equation Form:

x = 2, y = 5

please answer my question and I will mark branliest

Answers

Answer:

3/4

Step-by-step explanation:

The midtown middle school cheerleaders earned $175 at a car wash. If this amount is 25% of the cost of a new set of uniforms, what is the total cost for a set of uniforms?

Answers

Answer:

700

Step-by-step explanation:

multiple 175 × 4 to get to 100%

$700. If $175 is 25% of the cost (C) of the uniforms, then we can write an equation like this...
C x .25 = $175
Divide both sides of the equation by .25 to solve for C, and you get...
C = $700

A business has two delivery trucks. The weight of the first truck is 7.5 tons. The weight of the second truck is 8.75 tons. What is the difference in the weight of the trucks in pounds?

Answers

Answer:

2500 pounds

Step-by-step explanation:

There are 2000 pounds in one ton.

Find the weight of the first truck in pounds:

7.5(2000)

= 15000

Find the weight of the second truck in pounds:

8.75(2000)

= 17500

Now, find the difference in the weight:

17500 - 15000

= 2500 pounds

So, the difference in the weight of the trucks in pounds is 2500 pounds

Answer:

the person above me or below me is right i did the math and its correct gives me that answer

Step-by-step explanation:

I drive 55 miles per hour for 3 hours, stop for lunch for an hour, then drive 4 more hours at 62 miles per hour. What was my average speed for my 8 hour trip?

Answers

Answer:

15.5

Step-by-step explanation: I know because I calculated it praporly if you say I am wrong then most likely your wrong

help me pleaseee... :)

Answers

4) 7h

5) 9k

6) 5b + 8

7) 1/8x - 5/6

8) -7c - 2d

9) -17y - 16z

just add like terms. i hope this helps :)

Help please will award brainliest

Answers

Answer:

B)

Step-by-step explanation:

For the function [tex]y=-5x[/tex], all coordinates this line passes through should make this inequality true.

[tex]\begin{case}y=5(-7)=35\\y=-2(-5)=10\\y=2(-5)=-10\end{case}[/tex]

This corresponds with table B.

Martin is laying out a design for the tiles on a section of his bathroom floor. He will use 1 black tile for every 4 white tiles to have total of 20 tiles in the design. How many of each type of tile will Martin use?

Answers

Answer:

[tex]Black = 4[/tex]

[tex]White = 16[/tex]

Step-by-step explanation:

Given

[tex]Black : White = 1 : 4[/tex]

[tex]Total = 20[/tex]

Required

Determine the number of each type used

Convert each ratio to fraction.

For Black, we have:

[tex]Black = \frac{1}{1 + 4} = \frac{1}{5}[/tex]

For White, we have:

[tex]White = \frac{4}{1 + 4} = \frac{4}{5}[/tex]

The number of tiles for each is then calculated as:

[tex]Black = \frac{1}{5} * Total[/tex]

[tex]Black = \frac{1}{5} * 20[/tex]

[tex]Black = \frac{20}{5}[/tex]

[tex]Black = 4[/tex]

[tex]White = \frac{4}{5} * Total[/tex]

[tex]White = \frac{4}{5} * 20[/tex]

[tex]White = \frac{4 * 20}{5}[/tex]

[tex]White = \frac{80}{5}[/tex]

[tex]White = 16[/tex]

Find the length of Segment JM.​

Answers

Hello!

[tex]\large\boxed{JM = 8 \text{ units } }[/tex]

As solved in the previous question:

2x - 4 = 4x - 16

x = 6

Plug in this value of x into the expression for JM:

4(6) - 16 =

24 - 16 = 8 units.

Which function's graph is shown below?

Answers

Answer:

B: y=sinx

Step-by-step explanation:

the parent sine function is a repeating function that goes from 0 to 1, with sin(0)=0 sin(pi/2)=1 sin(pi)=0 sin(3pi/2)=-1 and sin(2pi)=0, π≈3.1415926 and we see on this graph that the graph matches at all these major points.

the cosine parent function is essentially the same thing but shifted to the left by π/2. It is essential to familiarize yourself with the unit circle and the key angles and their respective sin and cosine values.

The answer is y = sin x!!

solve for x: 100-6x=160-10x

Answers

Answer:

x= 15

Step-by-step explanation:

x= 15

Work:

Step 1- combine like turns:

100-6x=160-10x
+10x

100+4x=160
-100

4x=60
/4

x=15

Help I only have a few hours till I fail this course!!!!!!!!!
Store A charges $4 for 5 apples, store B charges $6.75 for 9 apples. Which one is a better deal? WHY?

Answers

Answer: well it depend on ir ur trying to spend the most money or least

Step-by-step explanation: Stora A because you would have to pay that much and u get alot of apples, also because you didt spend alot of money on appels

Store B because that alot of appels that can probaly last a while and u can make stuff with it

Answer:

The second one

Step-by-step explanation

Find the worth of one apple

5/4=0.8

0.8x9=7.2

The second one is less expensive.

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