Find the 69th term of the arithmetic sequence -13, -33, -53, ...​

Answers

Answer 1

Answer:

-1,373

Step-by-step explanation:

a69 = -13 + (69-1)(-20)

= -13+(68)(-20)

= -13 - 1,360

= -1,373

Answer 2

Answer:

-1373

Step-by-step explanation:

GIVEN :-

A.P. = -13 , -33 , -53 , ...

TO FIND :-

69th term of A.P.

FACTS TO KNOW BEFORE SOLVING :-

Lets say there's an A.P. whose :-

First term = aCommon Difference = dTotal number of terms = nnth term = aⁿ

Formula for finding nth term of A.P. = aⁿ = a + (n - 1)d

SOLUTION :-

According to the question ,

First term = -13Common difference = -33 - (-13) = -20Number of terms needed to find = 69

By using the formula for finding nth term ,

69th term of A.P. = -13 + (69 - 1)×(-20) = -13 + (-1360) = -1373


Related Questions

A quantity with an initial value of 510 decays exponentially at a rate of 0.05% every 7
years. What is the value of the quantity after 3.6 decades, to the nearest hundredth?

Answers

Answer:

508.69

Step-by-step explanation:

...

HELPP!! PLS PLS
can someone show me a graph of a line going through (-1,2) with a slope of -3/4

Answers

Answer:

We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.

Hope this helps!

Here is the diagram:

x^2 - 11x + 24 =0 in a b c form

Answers

Answer:

x^2-11x=-24

Step-by-step explanation:

5w-8/3 =4w+2
Please solve with steps

Answers

Answer:

5w-8/3=4w+2

-8/3=-1w+2

-8=-1w+6

-14=-1w

14=w

Hope this helps, have a great day :)

PLEASE PLS HELP THANK YOU

x = ___ cm

Answers

Answer:

x = 7

Step-by-step explanation:

5/(40+5) = 3/(2x+10+3)

1/9 = 3/(2x+13)

2x+13 = 3×9

2x = 27 - 13

x = 14/2

x = 7

Answer:

Step-by-step explanation:

Since they are directly proportional:

5cm -> 3cm

40cm -> y

y = 120/5

 = 24cm

2x+10 = 24

2x = 14

x = 7cm

Feel free to mark it as brainliest :D

4x-1/y -3=2 solve for y

Answers

this is the answer it was easier just to write it out

If the interest of a sum at 7.5% p.a in 4 years is Rs. 1050, find the sum​

Answers

~Refer to the attachment for the solution.

[tex] \to \bf { Sum = 3500 } [/tex]

pls help lol I don’t understand it at all :((

Answers

Answer:

I only know these, I am not sure of the answers too.

Step-by-step explanation:

Types of angles : 20°(acute angle), 90°(right angle)

Key information :

Equation : 20° + x° = 90°

Solution : x = 70°

Laura drove 638 miles in 11 hours at the same rate how long would it take her to drive 406 miles

Answers

Answer:

Step-by-step explanation:

This is a d = rt problem; but since it is linear, then proportions will work too. Set up the proportion with miles on top and hours on the bottom:

[tex]\frac{miles}{hrs}:[/tex]

Then put the numbers in where they go, keeping in mind that miles goes with miles and hours goes with hours in the ratios, and that our unknown is time (hours):

[tex]\frac{miles}{hrs}:\frac{638}{11}=\frac{406}{x}[/tex] and cross multiply to solve:

638x = 4466 so

x = 7 hrs

100 points
If you tell me to use quizlet or give me a wrong answer or link you will be reported

Answers

[tex]\huge{ \mathbf{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .

Given terms ( common for each cylinder ) :

height (h) = 4 ftradius. (r) = 0.5 ft

[tex] \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}[/tex]

[tex]3.14 \times \dfrac{1}{2} \times \dfrac{1}{2} \times 4[/tex]

[tex] \mathrm{3.14 \: ft {}^{3} }[/tex]

Since volume of each cylinder is equal, so total volume of six cylindrical post :

[tex]3.14 \times 6[/tex]

[tex] { \mathrm{18.84 \: ft {}^{3} }}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

18.84 feet with an exponent of 3 hope this helps

Which ordered pair is a solution of this equation y = 80 – 8x?​

Answers

Answer:

y = -8x + 80 This is the way I found the answer

Carter wants to cover his bedroom window with a piece of plywood to prepare for an upcoming storm. The window measures 4 1/2 feet tall and 2 1/4 feet wide. Find the area of the window.


fast please

Answers

Answer:

Step-by-step explanation:

Basically you turn 1/2 into fourths,  1/2 = 2/4

After that you would multiply 4 2/4 x 2 1/4

Then you get 10.125 turned into a fraction is 81/8

                                                   

Help me please! No idea

Answers

Answer:

40

Step-by-step explanation:

Factor problems 9 - 12 by using the difference of squares method.
12. x2 + 100

A. (x + 10)(x – 10)
B. (-x + 10)(x – 10)
C. (x + 10)(x + 10)
D. This polynomial cannot be factored by using the difference of squares method.
E. (x - 10)(x – 10)
F. (-x + 10)(-x – 10)

Answers

A. ( x+ 10) (x-10)

The rest are false

what is x-7=1 simplified?

Answers

Answer:

x = 8

Step-by-step explanation:

x-7=1

Add 7 to each side

x-7+7 = 1+7

x = 8

Answer:

x= 8

Step-by-step explanation:

collect like terms

x= 7+1

x= 8

What number makes the equation true?

Answers

-2 1/3 is the answer

Fine the area of a triangle with :base=7ft and height =5ft

Answers

Answer:

Step-by-step explanation:

7 x 5 = 35

35/2 = 17.5

[tex]17.5ft^{2}[/tex]

The area of the given triangle is 17.5 ft²

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given a triangle with base=7ft and height =5ft

We know that area of a triangle = 1/2 × base × height

Therefore, the area of a triangle = 1/2 (7)(5) = 17.5 ft²

Hence, the area of the given triangle is 17.5 ft²

For more references on area, click;

https://brainly.com/question/27683633

#SPJ2

PLEASE HELP DUE IN AN HOUR NO LINKS PLEASE. ​

Answers

Answer:

y = 3/2  when x = 15

Step-by-step explanation:

y = k / √1+x  

2 = k / √1+8 = k/3  

k = 6  

y' = 6 / √1+15 = 6/4 = 3/2

I need help please!!:)

Answers

Answer:

No bcuz its not on the line

Step-by-step explanation:

No because it’s right on the line

Which expression is equivalent to (x^1/2y^-1/4z)^-2

Answers

Answer:

[tex]\sqrt{y}[/tex] ÷ xz²

Step-by-step explanation:

multiply the exponent of 'x' by -2 to get -1

multiply the exponent of 'y' by -2 to get 1/2

multiply the exponent of 'z' by -2 to get -2

= (x^-1)(y^1/2)(z^-2)

= 1/x · [tex]\sqrt{y}[/tex] · 1/z²

=  [tex]\sqrt{y}[/tex] / xz²

Divide x^4 + 4x^3 – 2x^2 – 7 by x^2 + 1. What is the remainder?

Answers

remainder: -4x-4

whole answer: x^2+4x-3+-4x-4/x^2+1
(only -4x-4 is over x^2+1)

find the square root of 3 upon 5 upto 2 decimal places​

Answers

Answer:

Square root of 3 upon 5:

√3÷5

= 0.3464101615137

0.35 (corrected to 2 decimal places)

Hamad wants to buy a video game with a selling price of $55, on sale for 40% off. The sales tax in his state is 3.5%. How much will Hamad have to pay in all?

Answers

Answer:

34.16

Step-by-step explanation:

55x.40=22 discount

55-22=33 sales price

33x.035=1.16 sales tax

33+1.16=34.16 total price

Answer:

$33.75

Step-by-step explanation:

hope this helps

A geometric sequence has the terms with values a5=58 and a10 = 440.4375.
Part A: Determine what the common ratio is.

Answers

Answer:

1.5

Step-by-step explanation:

58(r)^5 = 440.4375

r^5 = 440.4375 / 58

r^5 = 7.59375

r = 1.5

A bag contains 8 apples and 6 oranges. You randomly draw a piece of fruit from the bag, eat it, and than randomly draw another. What is the probability you draw and eat an apple than draw an orange?

Answers

Answer:

[tex]probability \ of\ choosing\ apple\ first = \frac{8}{14}\\\\probability\ of\ choosing\ orange\ second = \frac{6}{13}\\\\probability \ of \ choosing \ apple \ and \then \ orange = \frac{8}{14} \times\frac{6}{13} = \frac{24}{91}[/tex]

18) What value of x makes R(x) = 10
5 points
18
16
R(x)
12
10
D(x)
8-
8
Please help I don’t have much time

Answers

Two Answers:  x = 2 and x = 10

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

Explanation:

Draw a horizontal line through 10 on the y axis. This is because R(x) = 10 is the same as y = 10. The output of the function is the y value.

See the diagram below.

The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.

Select the correct answer.
Describe the end behavior of the given function.
$(-) = 0) – 2
O A. As x decreases, (x) approaches 2.
OB.
As x decreases, Ax) approaches negative infinity.
OC. As xincreases, fx) approaches infinity.
OD. As x increases, Ax) approaches -2.

Answers

Answer:

answer is a

Step-by-step explanation:

Describe the end behavior of the given function.

$(-) = 0) – 2

O A. As x decreases, (x) approaches 2.

OB.

As x decreases, Ax) approaches negative infinity.

OC. As xincreases, fx) approaches infinity.

OD. As x increases, Ax) approaches -2

Answer:

C.

Step-by-step explanation:

(Use desmos graphing calculator to graph it...)


Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages Is 180 and the standard deviation is 30
pages, what can you conclude?
ΟΑ
About 60% of the books have fewer than 150 pages.
ОВ.
About 16% of the books have fewer than 150 pages.
Ос.
About 95% of the books have more than 150 pages.
OD.
About 16% of the books have more than 150 pages.
Reset
Next

Answers

Answer:

above 95 percentage is the correct answer right away

Which is the slope of the line that passes through the points (3,5) and (8,7)?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]m=\boxed{\frac{2}{5}}[/tex]

»»————- ★ ————-««  

Here’s why:  

The formula for the slope of two given lines given is 'rise over run'.

⸻⸻⸻⸻

[tex]\boxed{\text{Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\\rightarrow (x_1,y_1),(x_2,x_1) - \text{Two Points Given}[/tex]

⸻⸻⸻⸻

We are given the points (3,5) and (8,7).

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{7-5}{8-3}\\\\\rightarrow \boxed{m=\frac{2}{5}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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If−3x − 7 = 23, then 6x =_____?

Answers

Answer:

22

Step-by-step explanation:

We will first find the value of x .

Then we will multiply 6 to the value of x

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