{-13,-2,9,20,31,…} which term in this sequence is 306

Answers

Answer 1

Given :-

-13,-2,9,20,31 . . . . .

To find :-

which term in this sequence is 306 .

Solution :-

Common difference ,

d = 31 - 20 d = 11

As we know that ,

Tⁿ = a + (n-1)d 306 = -13 + (n-1)11306+13 = (n-1)11319/11 = n-129 = n -1 n = 30
Answer 2

Answer:

30th

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 2 - (- 13) = 9 - (- 2) = 20 - 9 = 31 - 20 = 11

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 13 and d = 11 , then

[tex]a_{n}[/tex] = - 13 + 11(n - 1) = - 13 + 11n - 11 = 11n - 24 ← equate to 306

11n - 24 = 306 ( add 24 to both sides )

11n = 330 ( divide both sides by 11 )

n = 30

The 30th term is 306


Related Questions

evaluate: 16^1/2 x 2^-3

Answers

Answer:

64

Step-by-step explanation:

16^1

---------------------- = 64

2 x 2 - ^3

Apply exponent rule

16^1 = 16

= 16

------------------

2x2 - ^3

16 = 2x 8

2 x 8

-----------

2 x 2 - ^3

Cancel the common factor <2>

8

---------

2-^3

Factor the number 8 = 2^3

2^3

----------

2-^3

Apply exponent rule.

= 2^3 - (-3) = 6

3- (-3) = 6

= 2^6

2^6 = 64

64 is the answer

Answer:

0.5

Step-by-step explanation:

[tex] {16}^{ \frac{1}{2} } \times 2 {}^{ - 3} [/tex]

[tex] \sqrt{16} \times \frac{1}{{2}^{3} } [/tex]

[tex]4 \times \frac{1}{2 \times 2 \times 2} [/tex]

[tex] \frac{1}{ 2} [/tex]

In BOMAMS 'M' stands for​

Answers

M stands for Multiplication.

⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ B = Bracket

⠀⠀⠀⠀⠀⠀⠀⠀⠀ O = Open

⠀⠀⠀⠀⠀⠀⠀⠀⠀ D = Division

⠀⠀⠀⠀⠀⠀⠀⠀⠀ M = Multiplication

⠀⠀⠀⠀⠀⠀⠀⠀⠀ A = Addition

⠀⠀⠀⠀⠀⠀⠀⠀⠀ S = Subtraction

Answer:

B= Bracket

O= Open

D=Divide

M=Multiplication

A=Addition

S=Subtraction

Please Help
Geometry

Answers

x=50

a^2+b^2=c^2
14^2+48^2=c^2
196+2304=c^
(squareroot)2500= 50

What is the range of the given function ?

Answers

Answer:

6740

Step-by-step explanation:

Answer:

There is no function provided

FYI

Domian is all x-values

range is all y-values

For ex..

(-3,6)

-3 is domain

6 is range

Step-by-step explanation:

please help need this done by tomorrow thank you [PHOTO]​​

Answers

Answer:

31

Step-by-step explanation:

sum of the bordering angles is 180° so

(5x-16) + (x+10) = 180

5x - 16 + x + 10 = 180

6x - 6 = 180

6x = 186

x = 186 ÷ 6

x = 31

Answer:

The answer is x=31.

5x-16+x+10=180

6x-6=180

6x=186

x=31

Then, 5(31)-16=

155-16= 139

Also, x+10=

31+10=41

Solution check:

139+41=180, so x=31 is correct.

whats 3/4+1/8 i dont know how to add them help im not cheating i promise i just need it to answer the question that i have and i couldn't ask it because it has a picture and i dont know how to take a picture on it because im on my personal chromebook

Answers

Answer:

7/8

Step-by-step explanation:

You multiply 3/4 by 2 to get a common denomerater, then you get 6/8, after you add 1/8 + 6/8 and get 7/8

Solve for in terms of A and w. A=w

Answers

Answer:

Step-by-step explanation:

Given A = w:

w in terms of A is w = A, and

A in terms of w is A = w

Sowy about all my questions b-b-but please help with another one?

Answers

Answer:

A

Step-by-step explanation:

count both sides divide by missing pieices

Consider the functions p(x) = 5x3 + 6x2 + 4x and qx) = 5640.
-
1. Use graphing technology to find a value of that makes p(x) = q() true.

Answers

In order to make p(x) = q(x) true, x would have to equal 181.935

Graphing technology used in image below

what is the answer for this equation 3x-2=2x+9

Answers

Answer:

x = 11

Step-by-step explanation:

3x-2x=9+2 1st and 2nd principle

X=11

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

44 millimeters

Step-by-step explanation:

The ratio is set up as millimeters : meters

On the map, 4 millimeters : 9 meters

The actual length ratio is represented as x millimeters : 99 meters

Since we know its proportional, we can set up the equation:

4/9 = x/99

Solve:

4/9 = x/99

4 * 99 = 9x

396 = 9x

x = 44 millimeters

Another Way

Since we already know it is proportional, 99 = 9 x 11

So we can multiply 4 x 11 to get 44 millimeters.

-Chetan K

a bit hard. thank you if u can do it for me? <3

Answers

The triangle shown is a right triangle shown by the little square inside of it.

Area of a triangle is 1/2 x height x base

Rotating the shown triangle so the square is at a bottom corner the height is 6 and the base is 6

Area = 1/2 x 6 x 6 = 18 square cm

Help help please please

Answers

Step-by-step explanation:

=2(20)+2(14)

=2⋅20+2(14)

=40+2(14)

=40+2⋅14

=40+28

=40+28

=68

Answer:

P = 68

Step-by-step explanation:

P = 2L + 2W

P = 2(20) + 2(14)

P = 40 + 28

P = 68//

100 points and brainliest if you answer all 48 question fast hurry and no link and no wrong answer

Answers

Answer:

D = 26°

Step-by-step explanation:

Opposite Angle Theorem

Answer:

There are no 48 questions but the answer to this one I think is the 4th choice

(my opinion)

Step-by-step explanation:

Hey, What’s up I think I know the answer but I’m not 100% so I’m asking you.

Answers

Answer:

120ft squared

Step-by-step explanation:

We'll first separate this into 3 rectangles where the height changes.

We then have 3*8*2, 3*7*2, and 3*5*2.

This solves to 48, 42, and 30.

Those added are 120.

3x2x5=30
3x2x7=42
3x2x8=48

Now add all of those together

30+42+48=120

The thermostat for a house is set to 70°F, but the actual temperature may vary by as much as 4°F. Use an
absolute value inequality to find the range of possible temperatures in the house.
The range of possible temperatures in the house (in degrees Fahrenheit)

Answers

Answer:

Step-by-step explanation:

74’F

Answer:

The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F

Step-by-step explanation:

To Find:

The range of possible temperatures in the house

Solution:

Given:

Thermostat is set to 70 °

Also actual temperature may by a much of 4°

If the temperature is 4°F lower, and actual temperature = 70°- 4° = 66° F

If the temperature is 4°F higher, actual temperature = 70°+4° = 74°

Therefore, The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F

Purchased goods on credit from Mimi and Ana, RM300 and RM400 respectively. Btw this is account subject and can I know what is the debit and credit for this questions.

Answers

Purchase a/c Dr. 700
To Mimi’s a/c. 300
To Ana’s a/c. 400

Need help please someone!

Answers

Answer: 270 inches squared

5x + 2 = 3x + 4(2x - 1)

show steps

Answers

Answer:

x=1

Step-by-step explanation:

5x+2=3x+4(2x-1)

5x+2=3x+8x-4

5x+2=11x-4

5x-11x=-4-2

-6x=-6

6x=6

x=1

MC)
The equation represents Function A, and the graph represents Function B:
Function A
f(x) = 6x-1
Function B
4
3
2
1
- 2
-3
-4
-5
-6
Which equation best compares the slopes of the two functions?
Previous Question

Answers

Take 2points on graph

(0,1)(1,4)

[tex]\\ \sf\longmapsto slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{4-1}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=3[/tex]

HELP POINTS FOR Each answEr quantity 4 times x plus 3 end quantity divided by 5 equals quantity 8 times x minus 1 end quantity divided by 9.

Answers

[tex]\displaystyle \frac{4x+3}{5} ^{/9}=\frac{8x-1}{9} ^{/5} \\\\\\ 36x+27=40x-5 \\\\ 40x-36x=27+5\\\\ 4x=32 \\\\ \boxed{x=8 }[/tex]

Step-by-step explanation:

Given fractional expression:

(4x+3)/5 = (8x-1)/9

By doing cross multiplication, we get

⇛4x(9) + 3(9) = 8x(5) - 1(5)

⇛36x + 27 = 40x - 5

Now, combine the like terms in one side.

⇛27x - 40x = -5 + 36

⇛-13x = 31

⇛x = 31/-13 Ans.

Question
Jackson's backpack weighed 15 kg. Convert the weight to pounds. Round to the nearest pound.

Answers

Answer:

[tex]15 \times 2.205 = 33.0693 \: lb[/tex]

Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.

What is unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,

15 kg = 2.205 × 15 kg = 33.075 pounds

Hence, the Weight of Jackson's backpack is 33.075 pounds.

Learn more about Units conversion:

https://brainly.com/question/4736731

#SPJ2

Plz help me
I will thank you

Answers

Answer:  89674 buckets were produced in 4 months

Answer:

Step-by-step explanation:

First you have to do 5263 / 7 = 751.9 (rounded 751.857143)

Then do 751.9x121.6= 91 431

You get 121.6 because that is how many days are in 4 months.

Hope this helps !!!!

Have a good day/night!!<333

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 100 m long and 60 m wide.
Find the area of the training field. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Step-by-step explanation:

given,

length = 100 m

breadth = 60 m

we know,

area = l × b

now,

100 × 60 = 6000 m

therefore, area of rectangular field is 6,000 m.

and for both the semicircle if we add both the semicircle we will get a complete circle.

as the width of the rectangle is the diameter of circle so the radius of the circle is 60/2 = 30m

we know,

Area = πr²

now,

3.14 × 30²

3.14 × 900

2826 m

so,

area of rectangle + area of circle = area of the training field.

6000 + 2826 = 8826.

therefore, area of training field is 8,826 m.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

8826 m²

Step-by-step explanation:

The field is composed of a rectangle and a circle .( the 2 semicircles form a complete circle when placed together )

area = area of rectangle + area of circle

        = lb + πr² ( r = 60 ÷ 2 = 30 )

        = (100 × 60) + (3.14 × 30²)

        = 6000 + (3.14 × 900)

        = 6000 + 2826

        = 8826 m²

100 OOO 000

- 62431556

Answers

Answer:

37568444

hope this helps

:) Answer fast if you can

Answers

Answer is B according to distributive property.

Answer:

The answer is B

Step-by-step explanation:

Hope it helps

Describe a way to make the arithmetic problem 45% x 680 mentally

Answers

Answer:

306.

Step-by-step explanation:

Firstly, we are aware 100% of 680 is obviously 680,

Next, we know half of a 100% is 50% therefore half of 680 is 340.

Then, we know 45% is 5% less than 50%

To find 5% of a number mentally, divide it by 10 as 100÷5=20

680÷20=34

Lastly 50% subtracted by 5%: 340-34=306.

Now we know, 45% of 680 is 306.

Hope this helps.

Hope this helps.Please mark BRAINLIEST.

ACME insurance company estimates that the probability of the owners’ of a house worth between $120,000 to $170,000 making a claim for $5000 is 0.08, and that the probability of the house and contents being totally destroyed is 0.0041. Should that tragedy happen, the company will have to pay $150,000. The company charges $1300 for the insurance policy.

What is the expected value of this policy to the insurance company?

Round your answer to two decimal places.

Answers

The expected value of this policy to the insurance company is $285.00.

Using this formula

Policy expected value=Insurance policy charges-[(Probability × Claim)+(Probability × Claim)]

Let plug in the formula

Policy expected value=$1,300-{(.0041)($150,000)+(.08)($5,000)]

Policy expected value=$1,300-($615+$$400)

Policy expected value=$1,300-$1,015

Policy expected value=$285.00

Inconclusion the expected value of this policy to the insurance company is $285.00

Learn more here:

https://brainly.com/question/19819099

Neil change the oil in his vehicle the car requires 6 quarts of oil if Neil wants to change his or every month for a year how many quarts of oil will Neil need?

Answers

Answer:

72 quarts

Step-by-step explanation:

1 year = 12 months, and Neil changes the oil each month, and each month he uses 6 quarts of oil.  So, the number of quarts he will need for a year is

6 + 6 + ... + 6, twelve times, which equals 12(6) = 72 quarts.

You deposit $200 in a savings
account that pays a simple
interest rate of 3.25% per year.
How much interest will you earn
after 5 years?

Answers

Answer:

$16.25

Step-by-step explanation:

First, you have to find 3.25*5 which is 16.25.

16.25 is the percent rate of your total interest over the course of 5 years.

In other words, you have to do 200*0.1625 which is 32.5.

So, your answer is $16.25.

Good luck!

$16.25 I took the test
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