Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. 89, 178, 267, 356, ...

Answers

Answer 1

Answer:

a(n)=89n

Step-by-step explanation:

Given the sequence 89, 178, 267, 356, ...

First Term, a(1)=89

178-89=267-178=89

This is an arithmetic difference with:

Common difference, d=89

The position of any term, n in an arithmetic sequence is derived using the formula:

a(n)=a(1)+(n-1)d

Substituting a(1)=89 and d=89

a(n)=89+89(n-1)

a(n)=89+89n-89

a(n)=89n

The expression that describes the sequence above is: a(n)=89n where n is the position of a term in the sequence.


Related Questions

what is the slope of the line passing through (2,9) and (2,-14)

Answers

Answer:

The slope is undefined

Step-by-step explanation:

When graphed, the two points form a vertical line, since we can't divide the slope by zero thw slope is considered as undefined


Order each set of numbers from LEAST to GREATEST.

-4 , -5/4 , 0 , -5, -1.5

Answers

-5, -4, -1.5, -5/4, 0

Answer:

-5, -4, -1.5, (-5/4) -1.25, 0

Step-by-step explanation:

The higher the negative the lower the number (least).

~Anna

Need help? Contact me for tutoring!

Please help with this

Answers

Answer:

C

Step-by-step explanation:

A quadratic function can be defined as a function where the highest degree or exponent is 2. Since option B has a zero in front of the x squared, it is not a quadratic function because 0 times anything is zero. Therefore, the only other option with an exponent of 2 is C.

Hope this helped! :D

Find the area of the parallelogram

Answers

Answer:

120 cm^2

Step-by-step explanation:

The area of the parallelogram is

A = bh

A = 15*8

A =120

On Friday,2,364 cars parked in the garage at the mall. On Sunday 2,455 more cars parked In the garage than on Friday. How many cars parked in the garage during the two days?

Answers

Answer:

7183 cars

Step-by-step explanation:

On Friday, 2364 cars parked in the garage.

On Sunday, 2,455 more cars parked In the garage than on Friday.

This means that the number of cars parked on Sunday is 2455 plus the number of cars parked on Friday, that is:

2455 + 2364 = 4819 cars

Therefore, the number of cars parked in the garage in the two days is:

4819 + 2364 = 7183 cars

7183 cars were parked during the two days.

these 15 colored pencils make up 20% of jordon's colored pencil collection.how many colored pencils does jordon have in his collections

Answers

Answer:

75 coloured pencils

Step-by-step explanation:

Let's say Jordon has x total pencils.

We know that 20% of these x pencils is 15, so we have:

20% * x = 15

Remember that % is just "out of 100", so 20% = 20/100 = 0.20. Then:

0.20x = 15

x = 15 / 0.20 = 75

Jordon has 75 coloured pencils.

Answer:

75 pencils

Step-by-step explanation:

Let the total no. of pencils be T

20% of T = 15

20/100 × T = 15

T = 15 × 100/20

T = 15 × 5

T = 75

what is between 1/6 and 2/6 on a number line

Answers

Answer:

3/12 or 1/4

Step-by-step explanation:

To find what is between, we have to use the formula:

x + y= z

z/2 = midpoint!

So, we can do that with this number.

1/6 + 2/6 = 3/6. We could simplify it, but let’s keep it at 3/6

3/6 divided by 2 = 3/6 · 1/2 = 3/12

So, the midpoint would be 3/12.

The local recycling center sends a truck to the school once a month to collect the paper that was recycled. Each month, the truck picks up 642.3 pounds of paper. How much would the truck pick up after 3 months? __

Answers

Answer: 1,926.9

Explain: If you ever come across a question that asks you how much a number would be after 2, 3, 4, 5, and so on.  All you have to do is multiply that first number with the second.

Example: if the gardener collects 20 carrots a week.  How many carrots did the gardener collect in a span of 5 weeks?

Simply just multiply 20 x 5 = 100.

50pts

Kadesha says that the triangles represent a translation. On a coordinate plane, triangle A B C has points (1, negative 1), (1, negative 4), (4, negative 4). Triangle A prime B prime C prime has points (1, 5), (1, 1), and (4, 1). Which explains whether Kadesha is correct?
A) Kadesha is correct because triangle ABC is the pre-image and triangle A prime B prime C prime is the image.
B) Kadesha is correct because each point in triangle ABC moves five units up.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
D) Kadesha is not correct because a translation is a horizontal movement.

Answers

Answer: Option C is most Appropriate.

C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.

Step-by-step explanation:

Coordinates of vertices of ΔABC are =A(1,-1), B(1,-4),C(4,-4)

 Coordinates of vertices of ΔA'B'C' are =A'(1,5), B'(1,1),C(4,1)

Suppose, Preimage =ΔABC

Image =ΔA'B'C'

If you will find distance between two vertices of Both the triangles or length of sides of triangles

Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.

What is a graph?

"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".

For the given situation,

The triangle ABC has points A(1,-1), B(1,-4), C(4,-4)

The triangle A'B'C' has points A'(1,5), B'(1,1), C'(4,1)

Plot these two triangles in the graph as shown below.

The graph shows the relation between the triangle ABC and A'B'C'.

Both the triangles are separated by different units and are not images of one another.

Hence we can conclude that Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.

Learn more about graphs here

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Thanks for all the help

Answers

Answer:

<FBE

Step-by-step explanation:

supplementary just mean 180

Answer:

∠CBG or ∠FBG

Step-by-step explanation:

Supplementary angles add up to 180°.

Keith makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.

Answers

Answer:

P=8h

Step-by-step explanation:

P is the total amount of dollars that Keith will make, while h is the number of hours he will work for. If you multiply the number of hours he works for and how much he makes in an hour which is 8. You will get the total amount.

what is 2/3 ÷ 4/5 = ?

Answers

Answer:

this is the answer:5/6.

Answer:

= 5/6

Step-by-step explanation:

2/6 ÷ 4/5

= 2/6 × 5/4

= 10/24

= 5/6

Find the volume of a pyramid with a square base, where the area of the base is
8.7 m and the height of the pyramid is 10 m. Round your answer to the nearest
tenth of a cubic meter.

Answers

Answer: 29.0

Step-by-step explanation:

The volume of a pyramid is equal to l*w*h/ 3  and we know that the length times the width is the same as the base.

so we will multiply 8.7 * 10= 87 /3=  29

Volume = 87 m³

You need to multiply the area and the height to find the volume. If you have the length, width, and height, then you need to multiply and 3 and divide it by 3. Hope I helped :)

The _________ of a matrix is usually written as "m x n", where m is the number of rows and n is the number of columns.

Answers

Answer:

size

Step-by-step explanation:

Example: (1 0 2) has 1 row and 3 columns, so m = 1 & n = 3 and the size is 1 x 3.


Solve the system of equations by the substitution method.
x+y=4
y=-3x

Answers

Answer:

X= -2 Y=6

Step-by-step explanation:

Answer:

x= -2 y=6

Step-by-step explanation:

-2+6=4

6=-3 x -2

You are going to the grocery to buy the candies for you and your sisters/brothers. You want to buy
chocolates and gums. Each chocolate costs 1.50 AED and each gum costs 0.50 AED. At the end you spent a total
of 78.50 AED. You bought a total of 87 chocolates and gums combined. You must report the number of
chocolates bought and the number of gums bought. How many chocolates were bought and how many gums
were bought?

Answers

Answer: 35 chocolates were bought and 52 gums were bought.

Step-by-step explanation:

c + g = 87    where c is the number of chocolate and g is the number og gums

1.50c + 0.50g = 78.50    solve both equations by elimination.

-1.50c - 1.50g =  -130.5

1.50   + 0.50g = 78.50

           -1g =  -52

             g= 52

1.50c + 0.50(52) = 78.50

 1.50c + 26 = 78.50

             -26     -26

1.50c = 52.5

c = 35  

A​ company's stock began the day at ​$25.28 per share. That price drops by ​$1.16 each hour. A. What is the price per share after 5 ​hours? B. What will it be after 23 hours if this rate​ continues? C. Explain what the signs of the answers mean in this context.

Answers

Answer: A.) $19.48

B.) -$1.40

C.) The sign in B, the negative, means that if the price of the share were to continue dropping, then it will become negative.

Step-by-step explanation:

A. The price per share after 5 ​hours will be $19.48.

B. It will be $19.48 per share after 23 hours if this rate​ continues.

C. The sign indicates the company is at a loss.

What is the rate of change?

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that, A​ company's stock began the day at ​$25.28 per share. That price drops by ​$1.16 each hour.

1 hour =  ​$1.16

5 hour =5 × $1.16

5 hours =$ 5.8 per share

The price drops per share after 5 ​hours are,

=$25.28-$ 5.8

=$19.48

B)

If the price drops by ​$1.16 each hour. The price after 23 hours will be,

1 hour =  ​$1.16

23 hour =23 × $1.16

23 hours =$ 26.68 per share

=$25.28 -$ 26.68

=-$1.40 per share

Thus, the price per share after 5 ​hours will be $19.48, It will be $19.48 per share after 23 hours if this rate​ continues and the sign indicates the company is at a loss.

Learn more about the rate of change here:

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concrete is poured to create a slab in the shape of a rectangular prisim the slab is 50 yards long 1.5 yards wide and 0.25 yard stick how many cubic squares of concrete are needed to create slab

Answers

Answer:

18.75 cubic yards

Step-by-step explanation:

Multiply the length width and height by each other.

50 x 1.5 x 0.25 = 18.75

Answer:

18.75 yards³

Step-by-step explanation:

To solve this, we can solve for the volume of the rectangular prism by using the formula: [tex]V= l*w*h[/tex]

We can plug in the values, giving us:

V= 50×1.5×0.25= 18.75 yards³

Ben decided to invest his savings into a friends local business if he invests 1,750 at an annual interest rate of 6.4% how much interest will he earn in 4 years

Answers

Answer:

He will earn an interest of $448 in 4 years

Step-by-step explanation:

In this question, we are interested in calculating the interest earned on an investment for a period of 4 years.

To calculate this interest, we shall be using the formula for simple interest but with slight difference in terms definition

Mathematically;

I = PRT/100

Where ;

P is the amount invested which is $1,750 according to the question

R is the interest rate which is 6.4%

T is the time which is equal to 4 years

Plugging these figures, we have

I = (1,750 * 6.4 * 4)/100 = 44,800/100 = $448

What is the mean of the data set below? Round to the nearest tenth when necessary. 10, 30, 53 *

Answers

10+30+53=93 divided by 3 = 31 your answer is 31.

Which is the most efficient first step to solve for x in the equation 3.7 x minus 18 = negative 4.3 x minus 3

Answers

First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :

3.7x+4.3x-18=-3

Next, take the 18 and switch is so it will be with the 3:

3.7x+4.3x=-3+18

Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:

8x=15

x=15/8

Hope this helps, and sorry if I did the work wrong but the directions are 100% right!

Answer:

c

Step-by-step explanation:

First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :

3.7x+4.3x-18=-3

Next, take the 18 and switch is so it will be with the 3:

3.7x+4.3x=-3+18

Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:

8x=15

x=15/8

Hope this helps, and sorry if I did the work wrong but the directions are 100% right!  :)

A survey of 539 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found:

189 watched TV
163 hung out with friends
29 watched TV and ate pizza, but did not hang out with friends
49 watched TV and hung out with friends, but did not eat pizza
36 hung out with friends and ate pizza, but did not watch TV
30 watched TV, hung out with friends, and ate pizza
60 did not do any of these three activities
How may 18-24 year olds (of these three activities) only ate pizza last Friday night?

Your Answer:

Answers

Answer:

95 people ate pizza

Step-by-step explanation:

Add the ones highlighted

Raheem found a worm that was 6 centimeters long what is the length of the worm in in millimeters

Answers

Answer:

60 millimeters

Step-by-step explanation:

1 centimeter is 10 milimeters. So, 6 centimeters is 60 millimeters.

*please mark brainliest*

Which expression represents finding the volume of the entire solid? Be careful

Answers

Answer:

Option 6

Step-by-step explanation:

To find the volume of a cone you use the formula 1/3*pi*r^2*h which would be pi*9^2*7. Then the volume of a cylinder is pi*9^2*50, so option 6 is right I believe.

pls help me figure this out thanks

Answers

Answer:

7√3

Step-by-step explanation:

tan 60 = v/7

√3 = v/7

v=7√3

Answer:

[tex]4 \sqrt{5 \\ } [/tex]

Suppose the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales. Find the z-score associated with the upper boundary of of this price range.

Answers

Answer:

The z-score associated with the upper boundary of of this price range is -0.25.

Step-by-step explanation:

It is provided that the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales.

If X represents the price range of drink sales, then

P (X < x) = 0.40

Consider that X follows a Normal distribution.

To compute the probability of a normally distributed random variable we need to first convert the raw score to the z-scores.

The formula to z-score is:

[tex]z=\frac{X-\mu}{\sigma}[/tex]

Then,

P (X < x) = 0.40

⇒ P (Z < z) = 0.40

The value of z for this probability is:

z = -0.25

*Use a z-table.

Thus, the z-score associated with the upper boundary of of this price range is -0.25.

Answer:

-0.25

Step-by-step explanation:

correct on plato

a. Two local supermarkets sell watermelons grown at McDowell's
farm. But Biggy Market sells their watermelons for $3.99 each,
regardless of size, whereas Harmless Trail Market sells their
watermelons for $0.19 per pound. For what weight will a
watermelon at Harmless Trail cost the same as any watermelon at
Biggy? If the largest watermelon grown at McDowell's farm
weighs 18 pounds, at which place should you buy your
watermelons?​

Answers

Answer:

For the watermelon at Harmless to cost the same as any watermelon at Biggy, the watermelon needs to be 21 pounds.

You should buy your watermelon at Harmless.

Step-by-step explanation:

1. So in order to figure out the number of pounds, you need to divide 3.99 by 0.19 which should give u 21 pounds.

2. So in order to figure out where u should buy the watermelon from, u have to do 18 pounds times $0.19 which should give u $3.42 at Harmless while at Biggy it would cost $3.99

You revived 1/4 pound of candy from your grandmother, 1/2 pound of candy from your sister, and 1/8 pound of candy from your best friend. How many pounds of candy did you receive?

Answers

Answer:

⅞ pound

Step-by-step explanation:

You received 1/4 pound of candy from your grandmother.

You received 1/2 pound of candy from your sister.

You received 1/8 pound of candy from your best friend.

The total amount of candy you received is given as the sum of all the candy that he received from your grandmother sister and best friend.

The total amount of candy is therefore:

¼ + ½ + ⅛ = ⅞ pound

You received ⅞ pound of candy in total.

Can someone please help

Answers

Answer:

1. 24 ft

B. 2

3. 150

4. 34

5. 864

6. 1925

7. 480

8. 22440

Step-by-step explanation:

The first one is 24 ft

What is the value of x in the equation below?
3(12x- 24) = 16
O 2
6
08
10

Answers

Answer:

x = 2,444

Step-by-step explanation:

3(12x - 24) = 16

36x - 72 = 16

36x = 16 + 72

36x = 88

x = 88/36

x = 2,444

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