Find the 95th term of the arithmetic sequence 4, -5, -14

Answers

Answer 1

Answer: -842

Step-by-step explanation:

To find n95, we have to use the equation aₙ = d * n + a₁ - d

a₁ is the first term, which here is 4. d is the common difference, which we can find out but seeing what we can add pr subtract from 4 to -5 which also equals -5 to -14, in this equation, the common difference would be -9 as it goes down by 9 every term. Once we plug these into the equation, we get

a₉₅ = -9 * n + 4 - (-9)

We can solve this for - aₙ = -9n + 13

Now that we have our equation to find a term, we can plug in n for 95 for

-9(95) + 13

Which equals -842


Related Questions

There is a bag filled with 5 blue, 2 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?

Answers

Answer:

7/25

Step-by-step explanation:

working out above.

To find the probability = Times BB RR and GG

then at the end add them all together.

please help, will give brainlist to first answer

Answers

3.62000 liters
4.4300 grams

Answer:

3 .62 lt

4 4300 g

5 1.78 mt

6 .0031 g

7 500 lt

8 .083 g

Solve 6!
Enter
how to solve six using factorials

Answers

'n!' is a factorial.

A factorial is equal to [tex]n*(n-1)*(n-2)*(n-3)*... * 2 * 1[/tex].

Since in this case n = 6, then:

      [tex]6! = 6 * 5 * 4 * 3 * 2 *1 = 720[/tex]

Thus 6! = 720.

Hope it helps!

when does the equation of a line in slope-intercept form look just like its equation in point slope form ???


with explanation

Answers

Answer: y = mx + b

Step-by-step explanation:

i think this is what ur asking but “y” is the coordinate of the y-axis with “x” being the coordinate of the x-axis. m is the slope of the graph

Find the missing variables

Answers

Answer:

x = y = 102.5°

Step-by-step explanation:

x and y are congruent.

the sum of the 4 angles in a kite = 360°

subtract the 2 given angles from 360°

360° - 95° - 60° = 360° - 155° = 205° , then

x = y = 205° ÷ 2 = 102.5°

Could Y'all Please Help Me! I'll Give you Good Points!

Answers

Answer:

I would say its D

Step-by-step explanation:

10:9:10 is the original ratio

It gets turned into 1:1:2, making it very distorted

Write in point-slope form the equation of the line that passes through the point (- 1, 6) and has a slope of -2

Answers

Answer:

y= -2x+4

Step-by-step explanation:

find the length of the diameter of circle 0

Answers

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

Write an equation of the line in slope- intercept form.
A. Y= -4/5x - 3
B. Y = -4/5x + 3
C. Y= -5/4x - 3
D. Y= -5/4x + 3

Answers

Answer:

A

Step-by-step explanation:

becuase the 3 is negtive and the 4/5 so it A

Answer:

[tex]a)\ y=-\frac{4}{5}x -3[/tex]

Step-by-step explanation:

Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-1}{0-(-5)} \\\\m=\frac{-4}{0+5} \\\\m=-\frac{4}{5}[/tex]

[tex]y=mx+b\\y=-\frac{4}{5}x +b[/tex]

(-5, 1)

[tex]y=-\frac{4}{5}x +b\\1=-\frac{4}{5}(-5) +b\\1=4+b\\-4-4\\-3=b[/tex]

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

Check your answer:

[tex]y=-\frac{4}{5}x -3 \\1=-\frac{4}{5}(-5) -3\\1=4-3\\1=1[/tex]

This statement is true

Hope this helps!

Graph g(x)=5|x -6|+2g(x)=5∣x−6∣+2g, left parenthesis, x, right parenthesis, equals, 5, vertical bar, x, minus, 6, vertical bar, plus, 2.

Answers

The graph of the absolute value function can be seen at the end of the answer. There we see a translated and dilated parent function.

How to graph the absolute value function?

Here we want to graph:

g(x) = 5*|x - 6| + 2

First, remember that the minimum of the absolute value part |f(x)| is 0, so the minimum of the above function is 2, and that happens when x = 6. That will be the vertex of our function.

From that point, we will have two lines, one that goes to the right with a slope of 5, and the other that goes to the left with slope of -5 (the coefficient that multiplies the absolute value part of the function).

The graph of the function can be seen below.

If you want to learn more about absolute value functions, you can read:

https://brainly.com/question/3381225

Answer:6,2 & 7,7

Step-by-step explanation:

Find the ending balance
if $2,000 was deposited
at 4% annual interest
compounded
semi-annually for 6 years.

Answers

The ending balance would be $2,536.48

Answer:

the person above has the answer:>

Need help asap giving 15 points

Answers

Answer:

384

Step-by-step explanation:

a= 6a^2

a = 8

A = 6*8^2 = 6*64 = 384 in

A = 384 in

The answer is 384
Hope this helps

JAVA
Write a program that repeatedly reads in integers until a negative integer is read. The program also keeps track of the largest integer that has been read so far and outputs the largest integer at the end.

Ex: If the input is:
2 77 17 4 -1

the output is:
77
Assume a user will enter at least one non-negative integer.

Answers

The program is an illustration of loops

What are loops?

Loops are program statements that are used to execute repeated statements

The java program

The program, written in Java where comments are used to explain each line is as follows:

import java.util.*;

public class Main{

public static void main(String[] args) {

 Scanner input = new Scanner(System.in);

 int num;

//Get input from the user

 num = input.nextInt();

//Initialize the largest to the first input

 int maxn = num;

//This loop is repeated until a negative input is recorded

 while (num >=0){

//If the current input is greater than the previous largest

     if (num>maxn){

//Set largest to the current input

         maxn = num;      }

//Get another input from the user

     num = input.nextInt();

 }

//Print the largest

 System.out.print("Largest: "+maxn);

}

}

Read more about loops at:

https://brainly.com/question/14284157

f (x)=6xº + 2x² +
+ x
O The function is an even function.
O The function is an odd function.
O The function is neither even nor odd.

Answers

Foreign Policy: Imperialism  For82622

Instructions: Find the length of the missing side.

Please help explain how I do this!! I will give you a Brainliest!!!!

Answers

Answer:

side AB = [tex]9\sqrt{2}[/tex]

hypotenuse CB = 18

Step-by-step explanation:

with a 45-45-90 triangle, we know that the two legs (AC and AB in this picture) are the same length, so if AC is [tex]9\sqrt{2}[/tex] , then AB would have to be the same so therefore it would also be [tex]9\sqrt{2}[/tex]. We also know that the length of the hypotenuse (CB) is the length of the leg times [tex]\sqrt{2}[/tex]. So, it would be [tex](9\sqrt{2} ) *\sqrt{2}[/tex], which is the same as saying [tex]9*(\sqrt{2}) * (\sqrt{2} )[/tex]. Doing [tex](\sqrt{2}) * (\sqrt{2} )[/tex] would cancel out the square roots, leaving you with just 2, so you get 9*2, which is 18.

Factorise 4x² + 2y² + x²y² + 8​

Answers

Answer:

[tex]4x² + 2y² + x²y² + 8 \\arranging \: them \\ 4 {x}^{2} + {x}^{2} {y}^{2} + 2 {y}^{2} + 8 \\ {x}^{2} (4 + {y}^{2} ) + 2(y^{2} + 4) \\ ({x}^{2} + 2)(y^{2} + 4)[/tex]

Answer:

(4 + y^2) ( x^2 + 2)

Step-by-step explanation:

irst rearrange the terms

4x^2 + x^2 y^2 + 2y^2 + 8

then factorise

x2 ( 4 + y^2) + 2 ( y^2 + 4)

group like terms together and insert the remaining terms into a bracket

(4 + y^2) ( x^2 + 2)

A bag contains 20 balls.
The ratio of red to blue to yellow balls is 1:2:2.
Find how many red, blue and yellow balls there are.

Answers

Answer: red=4 blue=8 yellow=8

4:8:8

Step-by-step explanation: 1+2+2=5

20÷5=4 4×1=4 2×4=8 2×4=8

"You've fallen into my trap!" Justin shouts, laughing like
the madman he is. The mouse he captured stares back at
him indifferently as it munches on a piece of cheese at the
bottom of a box whose base measures 12 cm by 12 cm.
Move the points on the grid below to draw the base of
the box in which the mouse is trapped.

Answers

Answer:

18 units by 18 units

makes sure the square add up to 18 going across and 18 going down.

Step-by-step explanation:

Akira's bus ride to school is 9/10 of a mile and Clayton's bus ride is 1/2 of a mile. How much longer is Akira's bus ride than Clayton's?

Answers

4/10 longer than claytons

1/2 is equivalent to 5/10

then what’s the difference between 5/10 and 9/10, it’s 4/10

write the equation that models each linear relationship

Answers

Note: I will be writing these in slope-intercept form.

[6] y = 2x + 4

Since the line is going from bottom left to top right, we know the slope of the line is positive.

-> The b, or y-intercept, is 4 because the line hits the y-axis at 4.

-> The slope can be found with change in y over change in x,

[tex]\frac{14-4}{5-0} =\frac{10}{5} =2[/tex]

-> The final equation is y = 2x + 4

[7] y = -3x - 5

Because the line is going from top left to bottom right, we know the slope of the line will be negative.

-> The b, or y-intercept, is -5 because the line hits the y-axis at -5.

-> The slope can be found with change in y over change in x,

[tex]\frac{4--5}{-3-0}=\frac{4+5}{-3-0}=\frac{9}{-3}=-3[/tex]

-> The final equation is y = -3x - 5

How do the slopes and y–intercepts of the two equations compare?.

Answers

The two equations with slope and y-intercept are compared as the lines may be intersecting, parallel, and coincident.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Let the two equations in the form of slope and y-intercept.

[tex]\rm L_1: y = m_1x +c_1\\\\L_2: y = m_2x +c_2[/tex]

There are three cases are as follows;

Case 1 - If lines are intersecting then the slope of both equations will be different.

Case 2 - If lines are parallel then the slope of lines are same but the intercept will be different.

Case 3 - If lines are coincident their slope and the intercept will be the same.

More about the linear system link is given below.

https://brainly.com/question/20379472

4. Courtney wants to sell her grandfather's antique 1932 Ford. She begins to set her price by looking at ads and finds these prices: $24,600, $19,000, $33,000, $15,000, and 20,000. What is the mean price?

Answers

Answer:

$22,320

Step-by-step explanation:

1. Understanding

Mean is the average of a given set

2. Solving

We have to find the average of all of these numbers.

How do I find the average?

I add all of the numbers and divide by the number of numbers I added. Example:

(x + x + x + x)/4 or,

(x+x)/2 and examples in numbers:

(3+4)/2 or,

(9+4+8+5+7)/5

See what I mean? Dividing by the number of numbers I have.

Ok, now we know that, we can solve!

Here is the equation for this problem:

(24,600+19,000+33,000+15,000+20,000)/5 (We have 5 numbers)

We have to do Parentheses First

(24,600+19,000+33,000+15,000+20,000)/5 --> 111,600/5

111,600/5 = 22,320

22,320 is the average number of all of the numbers, which is the mean

Hope this helps :)

-jp524

The formula for an area of a triangle is :____.

Answers

Answer:

Area of a triangle

Step-by-step explanation:

A= [tex]\frac{1}{2}[/tex]bh

A: area

b: base

h: height

hope this helps..

this is the last one i need help on, please help

Answers

Answer:

options 4 and 6 I believe

what is the measure of ABC ?​

Answers

Answer:

D

Step-by-step explanation:

Also do we have to show our work?

A triangle prism is 21 yards long and has a triangular face with a base of 12 yards and a height of 8 yards the other two sides of a triangle are each 10 yards what is the surface area of the triangular prism

Answers

first find perimeter and area of base

then, find tsa of triangular prism

as done in the solution above!

You pick a card at random. Without putting the first card back, you pick a second card at random. 5 6 7 What is the probability of picking an even number and then picking an even number?

Answers

Answer:

The probability of picking a 7 as the first card is 4 out of 52 or 1/13. The probability of picking a 5 as the second card is 4 out of 51. For both to happen, we multiply and get about .00603318

Thanks!

person above me is correct

Step-by-step explanation:

Please show work on answer

Answers

Answer:

x = 14

Step-by-step explanation:

x + 96 + 5x = 180

6x + 96 = 180

6x = 84

x = 14

Answer:

[tex]\huge\boxed{\sf x = 14}[/tex]

Step-by-step explanation:

x + 96 + 5x = 180 (Angles on a straight line)

Combine like terms

x + 5x + 96 = 180

6x + 96 = 180

Subtract 96 to both sides

6x = 180 - 96

6x = 84

Divide both sides by 6

x = 84 / 6

x = 14

[tex]\rule[225]{225}{2}[/tex]

An engineer is tasked with doubling the length and width of a city park. The engineer draws the park on a coordinate plane and labels it ABCD. Find the area of the park before and after the expansion. A coordinate plane with Square A B C D plotted. Point A is at zero comma three. Point B is at thee comma three. Point C is at three comma zero, Point D is at zero comma zero. A photo of a park with a caption that says, dimensions of park are being doubled. What is the area of the park before the expansion?

Answers

The vertex coordinates of the park the engineer draws, A(0, 3), B(3, 3),

C(3, 0), D(0, 0) give the area of the park before expansion as 9 unit².

How can the area of the park be found?

The shape of the park = A square

The vertices of the park = ABCD

The coordinates of the point are; A(0, 3), B(3, 3), C(3, 0), D(0, 0)

The length of side AB = 3 - 0 = 3

Length of side BC = 3 - 0 = 3

Length of side CD = 3 - 0 = 3

Length of side AD = 3 - 0 = 3

Therefore, the park is a square with side length, s = 3 units

The area of a square, A = Side × Side =

The area of the park before expansion, A = 3 unit × 3 unit = 9 unit²

Learn more about finding the area of geometric shapes here:

https://brainly.com/question/316492

What is the solution of log (2 t 4) = log (14 minus 3 t)?.

Answers

The solution the equation [tex]\rm log(2t+4)=log(14-3t)[/tex] is t = 2.

What is logarithmic properties?

Considering that the logarithm function is injective then the log is removing from the both sides and solving the equation for the value of t.

Given

The equation is;

[tex]\rm log(2t+4)=log(14-3t)[/tex]

The solution of the equation is;

[tex]\rm log(2t+4)=log(14-3t)\\\\2t+4=14-3t\\\\2t+3t=14-4\\\\5t=10\\\\t=\dfrac{10}{5}\\\\t=2[/tex]

Hence, the solution the equation [tex]\rm log(2t+4)=log(14-3t)[/tex] [tex]\rm log(2t+4)=log(14-3t)[/tex] is t = 2.

To know more about logarithmic properties click the link given below.

https://brainly.com/question/2824272

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