The first term of a sequence is 13. The term-to-term rule is 'take away 5'. Work out the 4th term

Answers

Answer 1

Answer:

The answer is -2, give me brainliest answer

Step by step solution:

1. 13-5=8

2. 8-5=3

3. 3-5= -2

Answer 2

Answer:

-2

Step-by-step explanation:

13

13 - 5 = 8

8 - 5 = 3

3 - 5 = -2


Related Questions

Identify the cluster in the data

Answers

The one that has the most circles in a group :D


What is the inverse of the equation y = 3x + 2?

Answers

Answer:   y = (x-2)/3

This is equivalent to y = (1/3)x - 2/3

=================================================

To get this answer, we need to swap x and y in the original equation. Then solve for y to get the inverse.

y = 3x+2

x = 3y + 2 ... x and y swapped

x-2 = 3y

3y = x-2

y = (x-2)/3

y = x/3 - 2/3

y = (1/3)x - 2/3

This final equation has slope 1/3 and y intercept -2/3

Which graph below represents a functional relationship? A. 10 10 8 8 6 6 4 2 2 X 10864 6 8 10 10 8 6 4 4 6 8 10 -21 4 -61 -8 -8 10. -10 B. OD. 107 101 8 8 6 6 108 4 2 6 8 10 2. -2) 108 -64 2​

Answers

Answer:

Graph (C)

Step-by-step explanation:

To find whether the graph\table represents a relationship or a function we have to analyze the input-output values given.

Graph A.

In this graph for every input value (x-value) there are two output values (y-values).

For x = -2, y = -2, 2

So the graph doesn't represent a function.

Graph B.

For every x value there are two y-values

For x = -5, y = -3, 3

So the graph doesn't represent a function.

Graph C.

For every input value there is a different y-value.

Therefore, graph represents a function.

Graph D.

In this graph for x = 3, y = 1, 2, 3, 4

For one value of x, there are four values of y.

Therefore, graph doesn't show the relationship.

Graph C has exactly one output (y-value) corresponding to each input (x-value), therefore, the graph that represents a functional relationship is: Graph C.

What is a Functional Relationship?

A functional relationship is a relationship whereby every input in the relation has exactly one possible output.

In other words, a functional relationship must have exactly one output that corresponds to each of the input values.

Thus, graph C has exactly one output (y-value) corresponding to each input (x-value), therefore, the graph that represents a functional relationship is: Graph C.

Learn more about functional relationship on:

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Please someone help me out!!!!! Bill is bying a pair of jeans that costs $20. He has to pay 5% sales tax. How much will he pay in all?

Answers

Answer:

21

Step-by-step explanation:

First determine the amount of tax

20 * .05

1

Add this to the original amount

20+1

21

He will pay 21 dollars

A boat is trying to determine its speed, in feet per second. The boat spots a 245 foot tall lighthouse at point A at an angle of elevation of 12°. Five minutes later it arrives at point B after traveling in a straight line towards the light house. The angle of elevation is now 28°. What is the boat’s speed to the nearest foot per minute.

Answers

Using the slope concept, it is found that the boat traveled at a speed of 138 feet per minute.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

At point A, we have that the vertical change is of 245 ft with an angle of 12º, hence the position in feet is given by:

[tex]\tan{12^\circ} = \frac{245}{x_A}[/tex]

[tex]x_A = \frac{245}{\tan{12^\circ}}[/tex]

[tex]x_A = 1152.6[/tex]

At point B, we have an angle of 28º, hence:

[tex]\tan{28^\circ} = \frac{245}{x_B}[/tex]

[tex]x_B = \frac{245}{\tan{28^\circ}}[/tex]

[tex]x_B = 460.7[/tex]

The distance in feet the boat traveled in 5 minutes was of:

[tex]d = x_A - x_B = 1152.6 - 460.8 = 691.8[/tex]

Velocity is distance divided by time, hence:

v = 691.8/5 = 138.

The boat traveled at a speed of 138 feet per minute.

More can be learned about the slope concept at https://brainly.com/question/18090623

Simplify 4.2^2 x 5.1^2 x 4.2^4 x 5.1^3

Answers

Answer:

=18938545.55220... x^3

Step-by-step explanation:

Can you find the perimeter of each rectangle and type the correct code? Please remember to type in ALL CAPS with no spaces. *

Answers

Answer:

CEFA

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of the 4 sides. A rectangle has two lengths of equal size and two width of equal size. To find the perimeter, add the length and width and multiply by 2.

1. perimeter = 2(3x + 2 + 2x) = 2(5x + 2) = 10x + 4

2. perimeter = 2(4x + 1 + x) = 2(5x + 1) = 10x + 2

3. perimeter = 2(x + 5 + 7) = 2(x + 12) = 2x + 24

4. perimeter = 2(4x - 3 + 5) = 2(4x + 2) = 8x + 4

Codes:

1. C

2. E

3. F

4. A

a map has a scale of 1/2 inches:12 miles if the actual distance between the cities is 480 miles how far apart are they on the map

Answers

Answer:

20 inches

Step-by-step explanation:

Since there are 480 miles in total, we have to divide it by 12 so we can see how many half inches that would be.

480÷12 = 40

That would mean you can fit forty 12's in 480. Since 12 miles equals 1/2, you would multiply it by 40.

1/2 × 40 =20

This means that the distance between the cities on the map would be 20 inches.

The slope of the line shown in the graph is
and the y-intercept of the line is

Answers

Answer:

y-intercept is 6, the slope is 2/3

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

what is 1+2+3+4+5+6+7+8+9..+100

Answers

Answer:

5050

Step-by-step explanation:

we can use the formula n(n+1)/2

Answer:

5050

Step-by-step explanation:

because n(n+1)/2 is compatible here, which is (100x101)/2, and that gives us 5050.

what is the are of triangle ABC with vertices A(-2,1),B(-2,3),C(2,1)?

Answers

Answer:

  A.  4 square units

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

Your triangle has a base of 4 units and a height of 2 units. Its area is ...

  A = 1/2(4)(2) = 4 . . . . square units

__

The triangle dimensions are easily found from your diagram by counting grid squares. If you like, you can subtract the x-coordinates of the points on the horizontal line y=1 to find the base length: 2 -(-2) = 4. And you can subtract the y-coordinates of the points on the vertical line x=-2 to find the height: 3 -1 = 2.

Can someone please help me? :(

Answers

Answer: 4 units, 3 units

Step-by-step explanation:

The side length of the square is measured to be 4 units on the graph

The height can be seen to be 3 units on the graph

4 units on each side

Height is 3 units

Step-by-step explanation:

Perpendicular height is 3 squares up, from the base of the square, to the top of the triangles.

The square measures 4 by 4 on each side.

Hope this helps!

A machinery worth rupees 10,500 depreciated by 5% find its value after one year​

Answers

Answer:

Step-by-step explanation:

10,500*5% =525

10,500-525

=9975

CRIS 100 A hostel had rations for 60 days for 500 students. After 12 days, 300 more students join the hostel mess How long will the remaining ration last?​

Answers

Answer:

30

Step-by-step explanation:

[tex]500\times\left(60-12\right)\div\left(300+500\right)[/tex]

Calculate

[tex]\frac{500\times\left(60-12\right)}{300+500}[/tex]

Calculate the sum or difference

[tex]\frac{500\times48}{300+500}[/tex]

Calculate the sum or difference

[tex]\frac{500\times48}{800}[/tex]

Cross out the common factor

[tex]\frac{5\times48}{8}[/tex]

Cross out the common factor

[tex]5\times6[/tex]

Calculate the product or quotient

[tex]30[/tex]

Write the midpoint of the segment as an ordered pair (-3,2),(4,-5)

Answers

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{( \frac{1}{2} \: ,\: \: \frac{ - 3}{2} )}}}}[/tex]

Step-by-step explanation:

[tex] \text{Let \: the \: points \: be \: A \: and \: B}[/tex]

[tex] \text{A( - 3 \: 2) } \longrightarrow \text{(x1 \: , y1)}[/tex]

[tex] \text{B(4 \: - 5)} \longrightarrow \text{(x2 \:, y2)}[/tex]

[tex] \underline{ \text{Finding \: the \: midpoint}} : [/tex]

[tex] \boxed{ \sf{Midpoint = ( \frac{x1 + x2}{2} \:, \frac{y1 + y2}{2} )}}[/tex]

[tex] \sf{Midpoint = ( \frac{ - 3 + 4}{2} \: , \frac{2 + ( - 5)}{2} })[/tex]

[tex] \underline{ \text{Remember}} : [/tex]

[tex] \text{( + ) * ( - ) = ( - )}[/tex]

[tex] \text{( + ) \: * \: ( + ) = ( + )}[/tex]

[tex] \text{( - ) \: * \: ( + ) = ( - )}[/tex]

[tex] \text{( - ) \: * \: ( - ) = ( + )}[/tex]

[tex] \sf{Midpoint = ( \frac{ - 3 + 4}{2} \:, \frac{2 - 5}{2}) }[/tex]

[tex] \underline{ \text{Remember}}: [/tex]

The positive integers are always added but posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \sf{Midpoint = ( \frac{1}{2} \: , \frac{ - 3}{2} )}[/tex]

[tex] \text{Hope \: I \: helped}[/tex]!

[tex] \text{Best \: regards}[/tex]!

~[tex] \text{TheAnimeGirl}[/tex]

than paid $40 for 5 cardio dance workout classes. He’s trying to set up an equation to help him find the cost of each class. What should Nathan put in the blank of the following equation? c=$40÷___ ?

Answers

Answer:

$40/5

Step-by-step explanation:

If you're trying to figure out the cost of each class divide the amount of money you pay in all ($40 dollars) by 5. Once you do that you should get 8, so $8 per class.

PLZ HELP!!

Choose the best answer.

Solve the equation.

e – 8 = 22
Question 1 options:


e = 14


e = 30


e = -8


e = 22
Question 2 (1 point)


Choose the best answer.

Solve the equation.

n + 11 = –29
Question 2 options:


n = 18


n = 40


n = –17


n = –40
Question 3 (1 point)


Choose the best answer.

Solve the equation.

e – 14.4 = –20.8
Question 3 options:


e = –35.2


e = 6.4


e = –6.4


e = 35.2
Question 4 (1 point)


Choose the best answer.

Solve the equation.

t – (–16) = –13
Question 4 options:


t = –3


t = 29


t = –29


t = 3
Question 5 (1 point)


Choose the best answer.

On Wednesday, William wrote a check in the amount of $45.60. This brought his balance down to –$15.75. Suppose n represents William's balance before he wrote the check.



Which equation can be used to represent this situation?
Question 5 options:


n + 45.60 = –15.75


n – 45.60 = –15.75


n – 15.75 = –45.60


n – 15.75 = 45.60
Question 6 (1 point)


Choose the best answer.

Solve the word problem.



Luke mowed a lawn today to earn some extra money. He spent $2.10 on fuel and $4.45 on lunch. He charged $13.50 to mow the lawn.



What was his profit for mowing the lawn?
Question 6 options:

$20.05

$11.15

$15.85

$6.95
Question 7 (1 point)


What is the LCD of 12 and 35

?
Question 7 options:

2

7

10

20
Question 8 (1 point)


Choose the best answer.

Which statement correctly compares512 and 716

?
Question 8 options:


512>716



512=716



512<716

Question 9 (1 point)


Add.



23+58

Question 9 options:


724



711



3124



78

Question 10 (1 point)


Add.

−23+14

Question 10 options:


14



−512



17



37

Answers

Answer:

[tex]e = 30 \\ n = –40 \\ e = –6.4 \\ t = –29 \\ n – 45.60 = –15.75 \\ 6.95 \\ the \: LCD \: of \: 12 \: and \: 35 \: is \: 2 \\{ 512 < 716} \\ 81(not \: in \: the \: option) \\ - 9(not \: in \: the \: option)[/tex]

Connie has two credit cards, u and v. card u has a balance of $414.55, and card v has a balance of $751.81. the minimum monthly payment on card u is 2.82% of the balance, and the minimum monthly payment on card v is 3.09% of the total balance. how much greater is the minimum payment on card v than on card u? a. $8.70 b. $10.73 c. $9.51 d. $11.54 please select the best answer from the choices provided a b c d

Answers

The minimum payment of card u of Connie is $11.54 is greater than the minimum payment of credit cart v.

What is percentage ?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

Connie has two credit cards, u and v. The card u has a balance of $414.55 and the minimum monthly payment on card u is 2.82% of the balance. Thus, the minimum payment for card u is,

[tex]P_u=\dfrac{2.82}{100}\times414.55\\P_u=11.69[/tex]

Card v has a balance of $751.81 and the minimum monthly payment on card v is 3.09% of the total balance. Thus, the minimum payment for card v is,

[tex]P_v=\dfrac{3.09}{100}\times751.81\\P_v=23.23[/tex]

The difference between the minimum payment of both the cards is,

[tex]d=23.23-11.69\\d=11.54[/tex]

Thus, the minimum payment of card u of Connie is $11.54 is greater than the minimum payment of credit cart v.

Learn more about the percentage here;

https://brainly.com/question/24304697

Eight out of 32 students in the class wear
glasses. What is the probability that the first
student who walks out of the class will be
wearing glasses?

Answers

Answer:

[tex]\dfrac14[/tex]

Step-by-step explanation:

[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]

If 8 students in a class of 32 wear glasses, then the probability of the first student who walks out of class wearing glasses will be:

[tex]\dfrac{8}{32}[/tex]

Simplifying:

[tex]\dfrac14[/tex]

Find the total amount of an investment of $413.99 compounded at 4.25% for 8.5 years

Answers

Answer:

Present Value = $413.99

Interest rate = 4.25%

Years = 8.5 years

Future value = P(1+I)^n

Future value = $413.99*(1+0.425)^8.5

Future value = $413.99*(1.0425)^8.5

Future value = $413.99*1.4244478

Future value = $589.707144722

Future value = $589.71

The total amount to be earned as a result of the investment for 8.5 years is $589.71.

Suppose that the relation I is defined as follov T= {(-3.3), (0.7). (7.-9).(-3.-4)} at Give the domain and range of T​

Answers

Answer:

The domain is the set of all the values of x. The range is the set of all the values of y.

Domain:

{−3,0,7}

Range:

{3,7,−9,−4}

pee

17 Mia wants to compare the 100-meter
dash times of 14.084 seconds and
14.102 seconds. Which is the correct
way to compare these two times?
A. 14.084 > 14.102
B. 14.084 < 14.102
C. 14.102 = 14.084
D. 14.102 < 14.084

Answers

B. 14.084 < 14.102

< means :  less than - smaller than

Could I get some help, please?

Answers

Answer: 110 degrees

Step-by-step explanation:

What is the pattern for this sequence? 2 , 0 , -2 , -4 , -6 , ... A. Each number in the sequence is 3 less than the previous number. B. The sequence decreases by multiples of 3: first by 3, then 6, then 9, then 12. C. The sequence decreases by multiples of 2: first by 2, then 4, then 6, then 8. D. Each number in the sequence is 2 less than the previous number.

Answers

Answer:

I believe the correct answer is D

Gabrielle is 11 years younger than Mikhail. The sum of their ages is 77 What is Mikhail's age?

Answers

Answer:

  44

Step-by-step explanation:

The relations can be written using one variable to represent Mikhail's age: m. Gabrielle's age is (m-11), so the sum of their ages is ...

  m +(m -11) = 77

  2m = 88 . . . . . . add 11

  m = 44 . . . . . . . divide by 2

Mikhail's age is 44.

__

Additional comment

Gabrielle is 33.

You could solve this using two variables:

m - g = 11m + g = 77

Adding these two equations gives the one we have above:

  2m = 88

  m = 44

__

You may have noticed we are given the sum and the difference of the two ages. The older Mikhail's age is half the sum of those two numbers. The younger Gabrielle's age is half their difference: (77 -11)/2 = 33. This "half the sum, half the difference" solution is the generic solution to a "sum and difference" problem.

Gabrielle : 33

Mikhail : 44

Explanation:

Let Mikhail's age be x

And Gabrielle's age be y.

======================

Gabrielle is 11 years younger than Mikhail

y = x - 11     [ equation 1 ]

sum of their ages is 77

x + y = 77    [ equation 2 ]

Insert equation 1 into 2

x + x - 11 = 77

2x = 77 + 11

2x = 88

x = 44

Therefore, the age of Mikhail is 44

Find Gabrielle's age:

y = x - 11

y = 44 - 11

y = 33

Therefore, the age of Gabrielle is 33

© ? Jordan invests £2100 into his bank account. He receives 5.1% per year simple interest. How much will Jordan have after 2 years? Give your answer to the nearest penny where appropriate.​

Answers

Answer:

£2314.20

Step-by-step explanation:

Simple interest formula:  A = P(1 + rt)

where:

A = final amountP = principal amountr = annual interest rate (as a decimal)t = time (in years)

Given:

P = £2100r = 5.1% = 0.051t = 2 years

⇒ A = 2100(1 + 0.051 · 2)

⇒ A = 2100(1.102)

⇒ A = £2314.20

If y=2x+3 and 2x+5=9, then y =
(A) 4 (B) 5 (C) 6 (D) 7 (E) 8

Answers

I think the answer is 7 cause I got (2,7)

Pls help I will award brainiest

The ratio of the number of people who
threw tomatoes onto the stage to the
number of people who threw cabbage was
8 to 9. If 168 people threw tomatoes onto
the stage, how many threw cabbage?

Answers

Answer:

189

Step-by-step explanation:

ratio is 8:9

multiply ratio by 21 to get 168:189

The number of people who threw the cabbage should be considered as the 189 when the ratio is given.

Calculation of the number of people who threw the cabbage:

Since

The ratio of the number of people who threw tomatoes onto the stage to the number of people who threw cabbage was 8 to 9.

And,  168 people threw tomatoes onto the stage

So

[tex]= 168 \times 9 \div 8[/tex]

= 189

hence, The number of people who threw the cabbage should be considered as the 189 when the ratio is given.

learn more about ratio here; https://brainly.com/question/4136664

3.
(a)
Expand and simplify 3(x - 3y) + 6y - 8x

SOME1 PLSS HELPP

Answers

Answer:

3(x - 3y) + 6y - 8x

Perform the distributive property;

3x - 9y + 6y - 8x ← Expanded form

Group like terms:

(3x - 8x) (-9y + 6y)

-5x - 3y ← Simplified form

Answer:

I believe it is -5x - 3y

The Swinger family recycles about 15 pounds of waste a week. This is 2/3 of the total waste for the week. How many pounds of waste does the family produce each week?

Answers

The answer 37.5 lbs

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