Find the 13th term of the arithmetic sequence -3x+7, -5x+3, -7x-1, ...

Answers

Answer 1

Answer:

a₁₃ = - 27x - 41

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3x + 7

d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)

                 = - 5x + 3 + 3x - 7

                 = - 2x - 4

Then

a₁₃ = - 3x + 7 + 12(- 2x - 4)

     = - 3x + 7 - 24x - 48

     = - 27x - 41


Related Questions

A whole number rounded to the nearest hundred is 56,700. What is the greatest possible value for that number?

Answers

Answer:

56,749

Step-by-step explanation:

It is 56,749 because 56,750 would round to 56,800 so 56,749 is technically the largest number which would round to 56,700.

Answer: 56,699

Step-by-step explanation:

Im pretty sure that’s right.

please answer this for me?

Answers

Answer:

abkjjnjnnnnjxnjxbksbx

Step-by-step explanation:

Lol idont know sorry

Sophia is going to invest $7,900 and leave it in an account for 6 years.
Assuming the interest is compounded monthly, what interest rate, to the
nearest hundredth of a percent, would be required in order for Sophia to end
up with $9,400?

Answers

Answer:

r= 2.90%

Step-by-step explanation:

delta math

5.
The height of a cylinder is 6 Inches. The radius of the base is 8 inches.
Which expression can be used to approximate the volume of the cylinder?
A
2 x 8 x 3.14 6
B
4x3.146
с 82 3.146
D 42 x 3.146

Answers

the volume of cylinder is 3.14 r^2×h

Answer: c

Step-by-step explanation:

Please answer these 2!!!

Answers

Step-by-step explanation:

Answer attached...

Hope it helps :)

What is the BEST word to describe the probability that the spinner will stop on 1 or 2? A) certain B) unlikely C) impossible D) very likely

Answers

Answer:

very likely

Step-by-step explanation:

need help.................

Answers

Answer:

10218.75

Step-by-step explanation:

You should divide the two shapes into a rectangle and a triangle, find the area of each, then add them together like so:

For the rectangle:

37.5*22.5 = 843.75

For the triangle:

To find the base: 75 - 37.5 = 37.5

To find the height, use pythagoream theorem.

62.5² = 37.5² + b²

3906.25 = 1406.25 + b²

3906.25 - 1406.25 = 2500

√2500 = 50.

The height is 50, so 50*37.5(1/2)

= 937.5

Now add them together

937.5 + 843.75

Martin has a bag of marbles. He removed one marble, recorded the color and then placed it back in the
bag. He repeated the process several times and recorded his results in the table. Based on the frequency
table, find the probability of randomly drawing the colors listed below.

Answers

Answer:

I've never attempted probability before but here goes:

1) 27 out of 50 draws

2) 10 out of 50 draws

3) 13 out of 50 draws

4) 40 out of 50 draws

Step-by-step explanation:

50 draws so:

red 12:50

blue 10:50

green 15:50

yellow 13:50

Answer:

Below

Step-by-step explanation:

Here:

What is the equation of a circle with a center located at (-3, 4) and a diameter of 14?

Answers

Answer: (x + 3)^2 + (y - 4)^2 = 49

Step-by-step explanation:

The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2

Given: center (-3,4) ; h = -3 and k = 4

diameter = 14

To find the radius: divide the diameter by 2 = 14/2 = 7 = r

Center: (-3,4) and radius: 7

Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2

Substitute h = -3, k = 4, r = 7

(x - (-3))^2 + (y - 4)^2 = 7^2

Answer:

Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49

A sandwich shop gives you the choice of 6 meats, 5 types of bread, 3 types of cheese, and 2 types of relish. How many different sandwiches can be made if you pick one choice from each option?

Answers

Answer:

180

Step-by-step explanation:

6(5)(3)(2) = 180

180 I think you multiply

2(2.2h+5.8h)+15(15h+5)

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,,,,,,

what is the order of the numbers from least to greatest?

-4, 9, 6, -8, -9
please help! whats the correct order

Answers

Answer:

-9, -8, -4, 6, 9

Step-by-step explanation:

Answer:

-9, -8, -4, 6, 9

Step-by-step explanation:

negatives are less than positives,

What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width of 15in, and a length of 2in?

Answers

The formula for the volume is length x height x width. So the answer is 2 x 11 x 15 = 330cm^3

Which equation can best be modeled by the expression 10(-4)

Answers

-40
Take 10 and x it by the 4 and since it’s in brackets it will take the negative sin because it means it important because normally if you were doing 10x -4 you would have 40 because 10 is bigger but the 4 was in brackets

Which type of deposit is paid in advance to protect landlords against nonpayment?
A.
security deposit
B.
special deposit
C.
surety Deposit

Answers

Answer:

a

Step-by-step explanation:

plato

Security deposit is paid in advance to protect landlords against nonpayment.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

A security deposit is a sum of money paid by a tenant to a landlord or property manager before moving in, with the purpose of protecting the landlord in case the tenant does not fulfill their obligations under the lease agreement, such as not paying rent, damaging the property or leaving it unclean at the end of the lease.

The amount of the security deposit is usually equal to one or two months' rent, and it is refundable at the end of the lease term, provided that the tenant has complied with all the terms of the lease.

If the tenant has breached the lease agreement, the landlord may use the security deposit to cover the unpaid rent or any damages caused by the tenant.

Hence, Security deposit is paid in advance to protect landlords against nonpayment.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ5

Write the repeating decimal as a mixed number.

Answers

Answer:

1 1/30

Explanation:

we know that 0.3 (recurring) is equivalent to ⅓. thus, we can find 0.03 (recurring) by adding an extra decimal behind the denominator to get 1/30.

accounting for the 1, we can now get 1 1/30.

i hope this helps! :D

The answer :

11/30

Hope it helps

These four numbers are plotted on a number line: −2/3, 5/8, −3/5, −1/2 Which is the correct ordering on the number line, from left to right?

Answers

Answer:

i dont know too i was here seeing if you got an answer.1

Step-by-step explanation:

pls answer this people!!

Answer:

-2/3, -3/5, -1/2, 5/8

Step-by-step explanation:

The larger the number/fraction/decimal is as a positive number, the smaller it will be as a negetive.

-y + 9x = 0 Direct and inverse variation. constant of variation (k)​

Answers

this what teacher explain to us

please answer this one if you could ​

Answers

Basically it’s pretty simple
Q13. .5, 1
Q14. -1.5, 2

Find the distance between the points.
(5.10),(5,4)
The distance is

Answers

Answer: 6??

Step-by-step explanation: Cause they are right next to each other and if u want me to be more specific its 6 units down :)

Answer:

The distance will be √(x2-x1)^2+(y2-y1)^2

=√(5-5)^2+(10-4)^2

=√(0)^2+(6)^2

=√(6)^2

=6 units

A jewelry box is a rectangular prism with a length of 9 inches and a height of 4 1/4 inches. The volume of the jewelry box is 283 1/2 cubic inches what is the width of the box?

Answers

Around 7.4 inches. You can’t get an exact answer because the numbers don’t line up

If the measure of angle 2 is 100 degrees. What is the measure of angle 8? Why?

Answers

Answer:

Angle 8 = 100 degrees

Step-by-step explanation:

Angle 2 = Angle 8

Because, they are alternate exterior angles.

(-2, 7) and (-2, 14)
Slope

Answers

Answer:

slope is undefined

please help me with the question

Answers

The answer is 6y+24 hope this helps
it’s 6v + 24

have a great day! steps are down below! :)

2(1/5m-2/5)+3/5 Combine like terms to create and equivalent expression, please help :).

Answers

Answer:

Step-by-step explanation:

First, carry out the indicated multiplication.  We get:

2m/5 - 4/5 + 3/5, which condenses to

                        2m - 1

2m/5- 1/5 or ---------------

                              5

Please help asap. No links for a answer or I will report you
8th Grade

Answers

Answer:

S

Step-by-step explanation:

The equation -x^2+4x-4=0 has no solutions
a. true
b. false

Answers

Answer:

true

Step-by-step explanation:

Let us calculate the determinant of this quadratic equation:

Δ = b^2 - 4ac = 16-4*(-1)*(-4) = 0

The equation has one solution

x = -b/2a = 2

Question 5 :)) What is the measure of the missing angle?​

Answers

The answer is 115 because the interior angle is 65 and 115 plus 65 is 180. You want 180 because the angles are opposite and make a straight line

find the sum of the polynomial : (3 x2- 8x + 2) + (3 x3 + 7x + 6) =

Answers

Answer:

3x² + 3x³ - x + 8

Step-by-step explanation:

All we have to do is add the terms together

(open parentheses as well)

3x² - 8x + 2 + 3x³ +7x +6

now, simplify

3x²+3x³-x+8

Check if (1,6) is the solution to the system shown below.

Answers

Answer:

NO it is not

Step-by-step explanation:

To check that, we will need to substitute the value of each of the coordinates in each of the equations

10x-y = -6

substitute 1 for x and 6 for y

we have this as;

10(1)-6 = 4

Outrightly, we can see that the given point is not a solution to the given system of equations

however, let us confirm for the second

We have this as;

-10(1) + 5(6)

= -10 + 30 = 20

so we can confirm that it does not work for any of the two and our answer is NO

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