Select the function that defines the given sequence.

Select The Function That Defines The Given Sequence.

Answers

Answer 1

Answer:

D.

Step-by-step explanation:

a1 = -8

a2 = -8 * 2.5

a3 = -8 * 2.5 * 2.5

a4 = -8 * 2.5^3

an = -8 * 2.5^(n - 1)

The first term is -8. Each subsequent term is 5/2 times the previous term.

Answer: D.


Related Questions

What is the square root for this numberZ

Answers

10 is the answer because 10 times itself is equal to 100
10
.........................

I ONLY HAVE 5 MIN TO TURN THIS IN PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Perform the operation below
(3x^2-10x+4)+(10x^2-5x+8)

Answers

Answer:

132−15+12

Step-by-step explanation:

Answer:

13x² - 15x + 12

Step-by-step explanation:

(3x^2-10x+4)+(10x^2-5x+8)

= 3x² - 10x + 4 + 10x² - 5x + 8

= 3x² + 10x² - 10x - 5x + 4 + 8

= 13x² - 15x + 12

Determine the value of X.

Answers

Answer:

25

Step-by-step explanation:

8x-20=180

8x=200

x=25

In a triathlon, Kailee swam for 1 hour, biked for 1.75 hours, and ran for 1 hour. Her average biking speed was 2 times her average running speed, and her average running speed was 8 times her average swimming speed. The total distance of the triathlon was 55.5 kilometers. Write an equation and solve it to find Kailee’s average swimming speed in kilometers per hour.

The problem tells you to make a sketch, a table, and equation but I only want an equation please. No answer either.

Answers

Answer:

Swimming speed, S = 1.50 km/hr

Step-by-step explanation:

Let Kailee's running speed be R

Let Kailee's biking speed be B

Let Kailee's swimming speed be S

Given the following data;

Time for swimming = 1 hour.

Time for biking = 1.75 hour.

Time for running = 1 hour.

Total distance = 55.5km

Translating the word problem into an algebraic equation, we have;

Biking speed = 2*8S = 16S

Running speed = 8S

We know that the distance covered by an object or body is given by the formula;

[tex] Distance = speed * time[/tex]

Now we would find the distance covered in each activity (biking, running and swimming).

For biking;

[tex] Distance, D_{1} = 1.75*16S [/tex]

Distance, [tex] D_{1} [/tex] = 28S

For running;

[tex] Distance, D_{2} = 1*8S[/tex]

Distance, [tex] D_{2} [/tex] = 8S

For swimming;

[tex] Distance, D_{3} = 1*S[/tex]

Distance, [tex] D_{3} [/tex] = S

The equation for the total distance covered in the triathlon is given by;

Total distance = sum of all distances covered

[tex] Total distance = D_{1} + D_{2} + D_{3} [/tex]

Substituting into the equation, we have;

[tex] 55.5 = 28S + 8S + S[/tex]

[tex] 55.5 = 37S[/tex]

[tex] S = \frac {55.5}{37} [/tex]

S = 1.50 km/hr

Therefore, Kailee’s average swimming speed is 1.50 kilometers per hour.

Which of the following algebraic expression represents the sum of 6 and one-fifth of x?
A.
6.2x

B.
0.2 + 6x

C.
6 + 0.2x

D.
(6 + x)0.2

Answers

Answer:

C. 6 + 0.2x

Step-by-step explanation:

6 + 1/5 x = 6 + 0.2x

Answer:

c

Step-by-step explanation:

even tho you called my question thicc..

n 2+ 7n + 15 = 5 show work

Answers

Answer: n2+7n+15−5=5−5

n2+7n+10=0

Step 2: Factor left side of equation.

(n+2)(n+5)=0

Step 3: Set factors equal to 0.

n+2=0 or n+5=0

n=−2 or n=−5

Answer:

n=−2 or n=−5

Step-by-step explanation: hope that helps

The front and back covers of a textbook are each 0.3 cm thick. Between the covers are 200 sheets of paper, each 0.008 cm thick. How high is a stack of 10 books

Answers

Answer:

22 cm

Step-by-step explanation:

Start off by multiplying the number of pages by the thickness.

200*0.008=1.6

Add the thickness of the front and back cover.

1.6+0.6=2.2

Multiply by 10.

2.2*10=22 cm

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,

The thickness of a single book

= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)

= (2 × 0.3cm) + (200 × 0.008cm)

= 2.2 cm

Now, the thickness of 10 books will be,

The thickness of 10 books = 10 × the Thickness of a single book

                                            = 10 × 2.2 cm

                                            = 22 cm

Hence, the height of the 10 stacks of books is 22cm.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

3(2m-3)=5(m+1) What is the value of m

Answers

6m - 9 = 5m + 5
6 x 14 - 9 = 75
5 x 14 + 5 = 75
m = 14

Answer:

14!

Step-by-step explanation:

3(2m-3)=5(m+1)

Step 1: 6m-9 = 5m + 5

Step 2 : Add 9 to -9 and 5

6m= 5m+14

Step 3: Subtract 5m from 6 and 14

Simplify!

m=14

How long does it take for the ball to hit the ground (in seconds) rounded to the nearest hundredth

Answers

Answer:

I need some numbers to do this problem

Step-by-step explanation:

Answer:

Depends on the height of the ball and I don’t see that

Step-by-step explanation:

Find the missing factor D that makes the equality true.
– 15y4 = (D)(3y?)

Answers

Answer:

[tex]-15y^{4} = D(3y^{2})\\-15y^{4}/3y^{2} = -5y^{2} \\D = -5y^{2}[/tex]

Step-by-step explanation:

1c) What is 25% of 40?
8.5

Answers

25% of 40

=25/100×40

=0.25×40

=10 answer.

If JKLM is a trapezoid, which statements must be true? Check all that apply.
A. JK=~KL
B. J is congruent to M.
DC. JK is parallel to LM.
I D. J is congruent to K.
E. KL is parallel to JM.
OF Jis supplementary to K.

Answers

is there a picture to go with this question?

JKLM is a trapezoid. Statements A and E are correct.

What is the definition of geometry?

It is concerned with the geometry, region, and density of various 2D and 3D shapes. There are two parallel sides and two non-parallel sides to a trapezoid.

These are the actual statements:

(a) J is supplementary to K

(e) KL is parallel to JM

Hence, statements A and E are correct.

To learn more about geometry, refer to

https://brainly.com/question/7558603.

#SPJ2

Determine the type of triangle that is drawn below. ASAP

Answers

Answer:

scalene acute

Step-by-step explanation:

all side are different and all angles are acute

Answer:

The answer is scalene acute

2700 is a perfect cube. True/False?​

Answers

Answer: False

Step-by-step explanation:

Answer:

It is false hope this will be

Sam has 3x + 4 dollars saved. Tessa has saved 7x + 16 dollars. Together they
have $110 saved. How much money have they each saved individually?

Answers

Step-by-step explanation:

3x + 4 + 7x + 16 = 110

10x = 90

x = 9

therefore, Sam = $31 and Tessa = $79

Topic: Algebraic Equations

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

Sam: 31

Tessa: 79

Step-by-step explanation:

3x+4+7x+16=110

10x+20=110

10x=110-20

10x=90

x=9

Money Sam saved

=3(9)+4

=27+4

=31

Money Tessa saved

=7(9)+16

=63+16

=79

Help me please it’s due today

Answers

Answer:RTP,NM, X=7

Step-by-step explanation:

Tinanatamad akong isulat ang step by step sorry

The following table shows the salary of 7 people in an office last year.

Name Income
Andy £13500
Bevan £27500
Cheryl £13750
Deva £79000
Elliott £19250
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

a. Mean = £27928.57

b. Mean without Deva's income = £19416.67

Step-by-step explanation:

The mean is calculated by dividing the sum of values by number of values. Given 7 values will be used to calculate mean.

So,

Number of values = n = 7

Now,

[tex]Mean = \frac{Sum}{No.\ of\ values}\\=\frac{13500+27500+13750+79000+19250+27500+15000}{7}\\=\frac{195500}{7}\\=27928.5714..[/tex]

Rounding off to two decimal places

Mean income = £27928.57

Now we have to calculate mean without Deva's income so the number of values will be 6 and the sum will be:

[tex]Sum = 195500-79000 = 116500[/tex]

The mean without Deva's income is:

[tex]Mean = \frac{116500}{6} = 19416.6666..[/tex]

Rounding off to 2 DP

Mean = £19416.67

Hence,

a. Mean = £27928.57

b. Mean without Deva's income = £19416.67

Simplify the expression:
7p+6q-2p+q

Answers

Answer:

5p+7q

Step-by-step explanation:

Answer:

5p+7q

Step-by-step explanation:

You add common terms together.

(7p-2p)+(6q+q)

5p+7q

Hope I helped!

Eric plots points showing equivalent ratios on the coordinate plane below.

What is true about the relationship between the four points?
The points form a curve.
The points form a straight line.
The points are randomly scattered.
The points do not show any relationship.

Answers

Answer: The points form a straight line.

Step-by-step explanation:

Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
All of the coins together have a value of $3.45. How many dimes does Jillian have?
o 7 dimes
o 9 dimes
o 12 dimes
o 14 dimes
SUBMIT RESPONSE

Answers

Answer:

12 dimes

Step-by-step explanation:

1 dollar= 4 quarters

1 dime=10 cents

3.45-1.20=2.25

2 dollars= 8 quarters

2.25-2.20=.25

1 quarter=.25

SOOOO your answer is 12 dimes

HELP ASAP! WILL MARK BRAINLYNESS OR WHATEVER ITS CALLED

Which statement best describes a graph of paired points that form a proportional relationship?




A straight line can be drawn through all the points and the line passes through the origin.

A straight line cannot be drawn through all of the the points but the line passes through the origin.

A straight line can be drawn through all the points but the line does not pass through the origin.

A straight line cannot be drawn through all of the the points and the line does not pass through the origin.

Answers

Answer:

the first one.

Step-by-step explanation:

The correct answer is "A straight line can be drawn through all the points and the line passes through the origin."

-5(3x+6)=-3(4x-2) Solve for x please! Show work to prove your answer.

Answers

Answer:

x = -12

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

You and your friend are trying to meet up at the park. You are currently 256 m directly west from the centre of the park. Your friend is currently 388 m directly north from the centre of the park. What is the distance between you and your friend?

Answers

Answer:

The distance between the two is 465 meters

Step-by-step explanation:

We first need to set up a triangle that shows the relative position and distances of the two friends

Please check attachment for this

To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem

Mathematically;

Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

D^2 = 256^2 + 388^2

D^2 = 216,080

D = √216,080

D = 464.84 which is approximately 465 m

Decrease £14132.77 by 14.5%
Give your answer rounded to 2 DP​

Answers

Answer:

£12083.52

Step-by-step explanation:

Given amount:

      Amount  = £14132.77

Percentage decrease = 14.5%

Solution:

To decrease the given amount by 14.5% implies multiply it by:

                [tex]\frac{100-14.5}{100}[/tex]  = 0.855

Now;

      Decreased amount  = £14132.77  x 0.855

      Decreased amount  = £12083.52

f (x) = 3x +2
fine the inverse of the function

Answers

.................F^-1 (x) =x/3-2/3 .................

Please solve: (in a hurry)
will name the brainliest!!!
include steps!

Answers

Answer:

Step-by-step explanation:

It took Jodi 4 hours to run 2/3 miles. How many miles will Jodi run if he runs for 2 hours?

Answers

Answer:
She run 1/3 in 2 hours

Explanation
Divide 2/3

PLEASE HELP ME ANSWER NOW!!!! 15 POINTS

Answers

Answer:

x = 4

Step-by-step explanation:

6x + 4 = 12x - 20

x = 4

PLEASE SOLVE!!
IN A HURRY
WILL name the BRAINLIEST!!!

Answers

Answer:

62

Step-by-step explanation:

96 divided by 2 = 48

48 - 14 = 34

48 + 14 = 62

34 + 62 = 96 (total cars washed)

You're welcome

please help asap
is x= -3 what is the value of |x-4|-x^2
thank you

Answers

Answer:

16

check your math

|(-3)-4|=7

-3^2=-9

7-(-9)=16

welcome <3

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