The fifth term of an arithmetic sequence is 96. Which rule could define the sequence?

Answers

Answer 1

Answer:

a+4d = 96

Step-by-step explanation:

Given:  fifth term of an arithmetic sequence is 96

This means,  a+4d = 96

Where, a is the first term in the series and d is the common difference,

Since, the terms is 5th therefore we can say that

a+4d = 96

a = 96-4d

Answer 2

Answer:

B) an = 18n + 6

Step-by-step explanation:


Related Questions

I know the answer can someone just help me explain it???

Answers

Step-by-step explanation:

It is Graph B. We can do this by checking the points. The equation given is d = 5t^2, where d technically is the y-coordinate and t is the x-coordinate. On Graph B, two obvious points are (1, 5) and (2, 20). We can check these points to see if they fit the equation.

(1,5): d = 5t^2

5 = 5(1)^2

5 = 5*1

5 = 5, so this point is correct.

(2, 20): = d = 5t^2

20 = 5(2)^2

20 = 5*4

20 = 20, so this point is correct.

We know that Graph A is incorrect because it doesn't follow the equation. The line goes through (1, 5), which we already know is correct, (2, 10), (3, 15), and (4, 20). We already figured out that (2, 20) is correct so (2,10) can't be correct. (3, 15) and (4, 20) are also incorrect but in this case, we only need to find one incorrect coordinate to validate our answer. Thus, as Graph A is wrong, Graph B is right.

Plz help meeee plz help

Answers

Answer:

The value of k would be [tex]\frac{1}{2}[/tex] also written as 0.5

Hope this helps!

Solve: 2x-4 = -(x-6)/2​

Answers

To solve it would be 14/5 but if it’s simplify it would be 5x=14

Answer:

x = 14/5

Step-by-step explanation:

2x-4= -x-6/2

multiply by 2 on both sides to get rid of the fraction

4x-8= -x-6

add both sides by 8 and both sides by x to get the constants on the right and the variables on the left

4x+x=6+8

combine like terms/simplify

5x=14

divide both sides by 5 to isolate the x

x=14/5

i hope this helps :)

Median of 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20

Answers

................... the median is 10.5

Answer:

10.5

Step-by-step explanation:

Find the two middle numbers, add them together and divide them by two if it is an even number. For odd numbers, your median will be the middle number.

Evaluate f(−3) for f(x)=2x2−x+5.

Answers

Answer: -4

Step-by-step explanation:

2(-3)*2-(-3)+5= -4

Find the sale price or selling price.
17. Original price: $15
Discount: 5%
Sale price:

Answers

Answer:

14.25

Step-by-step explanation:

So, lets go over our information.

We have a price of 15 dollars.

And it is 5% cheaper.

This means that the price is 95% of what it used to be.

We must find 95% of 15.

We know that to put 95% into decimal form, we must divide by 100:

95/100

=

0.95

So we know we must multiply 15 by 0.95:

15x0.95

=

14.25

So our price is now 14.25 dollars

hope this helps! :)

14.25
I’m not sure if this is right

Consider the arithmetic sequence 10,12,14,16 if n is an integer, which of these functions generate the sequence?

Answers

Given:

The arithmetic sequence is:

10, 12, 14, 16, ...

To find:

The function that generates the given sequence if n is an integer.

Solution:

We have,

10, 12, 14, 16, ...

Here, the first term is 10 and the common difference is:

[tex]d=a_2-a_1[/tex]

[tex]d=12-10[/tex]

[tex]d=2[/tex]

The nth term of an arithmetic sequence is:

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

Where, a is the first term, d is the common difference and [tex]n\geq 1[/tex].

Putting [tex]a=10,d=2[/tex] in the above formula, we get

[tex]a_n=10+(n-1)2[/tex]

[tex]a_n=10+2n-2[/tex]

[tex]a_n=8+2n[/tex]

Therefore, the function [tex]a_n=8+2n, n\geq 1[/tex] generates the sequence.

what is 6 divided by 1/4

Answers

Answer:

24

Step-by-step explanation:

6 / 1 / 4 =

6 x 4 =

24

Answer:

6 divided by 1/4 is 24

Step-by-step explanation:

What’s the quotient of 5,045 divided by 23

Answers

Answer:

219.347

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

find cot0 given cos0=2/7 and the terminal side is in quadrant IV

Answers

Answer:

0.2985

Step-by-step explanation:

find cot0 given cos0=2/7 and the terminal side is in quadrant IV

Given

cos theta  = 2/7

theta = arccos(2/7)

theta = 73.40 degrees

cot theta = cot73.40

cot73.40 = 1/tan73.40

cot73.40 = 1/3.35

cot73.40 = 0.2985

hence the required answer is 0.2985

i need help please help meeeehhh

Answers

Answer:

e=26

d=52

f=154

Step-by-step explanation:

theyre equal to the ones across from them, and i used a line to find the measure of d

Use a permutation expression to solve.
In a race of 43 people, how many different ways can the runners place in 1st, 2nd, and 3rd?

Answers

Answer:

74046

Step-by-step explanation:

Permutations = [tex]_np_r=\frac{n!}{(n-r)!}[/tex]

where r = choice of things from a set ( in this case the 3 places ) so r = 3

and n = amount of things ( in this case the 43 people ) so n = 43

We then plug in the values of n and r in the permutations formula

[tex]\frac{43!}{(43-3)!} =74046[/tex]

Hence the answer is 74046

The ratio of lime juice to orange juice in a drink is 3:8. How much orange juice is used in 50 L of the mixture?

Answers

4 6/11 is the value of 1 part of the ratio (1). 13 7/11 of the muxture is orang juice, in litres.

Use the following sequence to complete the sentence below.
8, -1, -10, -19

The sequence is (a geometric/arithmetic sequence) and has a (common difference/common ratio) of ________

Answers

Answer:not sure what u talking about

Step-by-step explanation:

Answer:

Since the ratios are constant, the sequence is geometric. The common ratio is –1. Since the ratios are constant, the sequence is geometric.

Jack can fill buckets of water four times fast as his sister Jill. They have to fill 400 buckets of
water for their village located at the bottom of a hill. Working together, Jack and Jill can complete
the job in six hours.
30. How many hours will it take Jack if he works alone?

Answers

Answer:

1.5 hour

Step-by-step explanation:

You divide 6 by 4.

Answer:

7.2 hrs

Step-by-step explanation:

Jack does 4/5 of the work in 6 hrs. He still needs to do 1/5 more if he's doing it by himself. 1/5 of 6 = 1.2 and 1.2 + 6 = 7.2 hrs

i need help solving this

Answers

Answer:

y= - 2/3x + 3

Answer: D

Explanation:

NO LINKS!

Select the correct answer from each drop-down menu.

Consider the end behavior of the function
g(x) = | x-2 | -3

As x approaches negative infinity, f(x) approaches
[BLANK] infinity

Options :
Negative, Positive

As x approaches positive infinity, f(x) approaches [BLANK] infinity

Options :
Negative, Positive

Answers

Answer: negative, positive

Step-by-step explanation:

FOR PLATO!

Positive

Positive

No links! Answer please will give brainliest if I can!

Answers

answer:

i drew the graph since i couldn’t write it out

Five boys namely, Abel, Ben, Carlo, Dave and Elmer made a race. They all started at 7:10 in the morning. Abel finished the race at 7:18 a.M., Ben at 7:32 a.M., Carlo at 7:38 a.M., Dave at 7:42 a.M. And Elmer at 7: 52 a.M. About how many minutes did Abel finished the race?

Answers

Answer:

8 minutes

Step-by-step explanation:

minutes Abel completed the race = time finished - time started

7:18 - 7:10 = 8 minutes

Does anyone know the answer for this?

Answers

No I don’t know the answer

Help me
Compute The area of each figure below. include units in your answer. Decimals may be rounded to the nearest tenth.

Answers

Answer:

A = 135 sq in

Step-by-step explanation:

Area of parallelogram is base x height

A = 15(9)

A = 135 sq in

PLEASE ANSWER EEEEEEEEEEEEEEEEEEE

Answers

The answer is 60. If you count the cubes one the white side you can see there are 20. You can also see the it has a depth of 3 on the grey side. So 20 times 3 is 60.

Answer:

5 x 4 x 3 = 60

Step-by-step explanation:

Do - H x L x W

H is 5

L is 4

W is 3

plz help with this thanks

Answers

Answer:

which one

Step-by-step explanation:

the upper answer would be 38 and lower would be

Answer:

4f = 38

Step-by-step explanation:

f(x) = 9x + 2

=

f(4) = 9(4) + 2

=

4f = 36 + 2

=

4f = 38

simplify 3a - 4b - 6a +b​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{3a - 4b - 6a + b}[/tex]

[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\large\text{\underline{(3a - 6a)} + (\bf -4b + b)}[/tex]

[tex]\large\text{\underline{3a - 6a = \bf -3a}}[/tex]

[tex]\large\text{\bf -4b + b = \bf \underline{-3b}}[/tex]

[tex]\large\text{= \bf -3a - 3b}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf -3a - 3b }}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

In the right triangle shown,

m



V

=

60

°

m∠V=60°m, angle, V, equals, 60, degree and

U

V

=

18

UV=18U, V, equals, 18.


60

°

60°

x

x

18

18

U

U

W

W

V

V

How long is

U

W

UWU, W?

Answers

Answer:

what

Step-by-step explanation:

Charlie is flying a kite one afternoon and steps on the end of the string to have his
hands free to take a picture. The string is 135 feet long and forms a 68-degree angle
with the ground. How high is his kite at this time? Round to the nearest foot, and
enter the number only.

Answers

Answer:

roubd it to 20 and you will get 679.90

a wise man once said 400 reduced by 3 times his age=250

Answers

Answer:

71

Step-by-step explanation:

8c^(2)+6c-2c^(2)-5c

Answers

Answer:

6c^2 + c

Step-by-step explanation:

8^2 - 2c^2= 6c^2

6c-5c = c

+ listen
19. Isabel spent $34.93 for 7 books on her
summer reading list. If the books were all the
same price, how much did each one cost?

Answers

Answer:

$4.99

Step-by-step explanation:

[tex]34.93 \div 7 [/tex]

Answer:

[tex]7 \: books = 34.93 \: dollars \\ 1 \: book = ( \frac{1}{7} \times 34.93) \: dollars \\ = 4.99 \: dollars[/tex]

Solve the equation
x^2 = -8x-7
by factoring

Answers

Answer:

x= -1,-7                

Step by step:

Answer:

x = -7 and -1

Step-by-step explanation:

Move the right side of the equation over to the left;

x^2+8x+7 = 0; Factor

(x+7)(x+1)=0 ; Solve for x;

x = -7 and -1

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