nth term of this sequence please 18, 16, 14, 12

Answers

Answer 1

Answer:

[tex]\boxed{\sf -2n+20}[/tex]

Step-by-step explanation:

Let’s find the common difference.

The common difference can be found by subtracting a term in the sequence with the previous term.

[tex]\sf d=16-18\\d=-2[/tex]

Apply formula for the [tex]\sf n^{th}[/tex] term of an arithmetic sequence.

[tex]\sf a_n=a_1+dn-d[/tex]

[tex]\sf a_1[/tex] is the first term of the sequence.

[tex]\sf d[/tex] is the common difference.

[tex]\sf a_n=18+-2n-(-2)[/tex]

[tex]\sf a_n=18+-2n+2[/tex]

[tex]\sf a_n=-2n+20[/tex]


Related Questions

help meeeeeeee plzzzzzzzzzzz

Answers

Answer:

Second one is the corect probability for the problem

It should be the second one

Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x + 7?

Answers

Answer:

line of slope 1 move up 7, so that there is a y-intercept of 7

Step-by-step explanation:

Answer:

There should be a y intercept of seven. :)

help I need the answer​

Answers

Answer:

18.9 ft²

Step-by-step explanation:

Surface area of this cylinder = area of the bottom and top circles + area of the curved surface.

Area of the two circles = 2πr² , where r is the radius.

Area of the curved surface = 2πrh , where r is the radius and h is the height.

Radius = [tex]\frac{1}{2}[/tex] × diameter

Area of the two circles = 2 × π × ([tex]\frac{2}{2}[/tex])² = 6.3 ft² (answer rounded up to nearest tenth)

Area of the curved surface = π × diameter × h = π × 2ft × 2ft = 12.6 ft² (answer rounded up to nearest tenth)

The surface area of the cylinder = 6.3 ft² + 12.6 ft² = 18.9 ft²

Answer:

18.85 to be exact

Step-by-step explanation:

pls mark brainliest

Find the output. y. when the input. x,is - 1.

Answers

Answer:

the answer is 3

Step-by-step explanation:

if on the x-axis is -1 go over to -1 on the x- axis and then go up to the peak of the line and on the y- axis it would be 3

y=3

The value of output will be 3.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The value of input (x) = - 1

Now,

Since, The value of input (x) = - 1

By graph it is clear that;

At value x = - 1, we get;

The value of output (y) = 3

Thus, The value of output (y) = 3

Learn more about the coordinate visit:

https://brainly.com/question/13350365

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What is the slope of each line? Line A: y = one-half x minus 4 Line B: y = 2 x minus 3

Answers

Answer:

1/2

2/1

use the method rise over run

Step-by-step explanation:

A
85°
O A. 45
o
E
O B. 32.5
B
C. 52.5
D. 65
SUBMIT

Answers

Answer:

A

Step-by-step explanation:

The formula for external arc measures ia 1/2(x-y) where x is 85 and y is the smaller arc. Knowing the actual angle measurement, we can see that we have 1/2(85 - y) = 20; y = 45. Answer A is your answer.

The weights, in pounds, of the upper-class men offensive line players for a college are shown below: 322, 290, 321, 326, 330, 315, 311, 292, 290 What is the average, or mean, weight of the upper-class men offensive players? Provide your answer with 3 sig figs. -311 pounds -315 pounds -290 pounds -318 pounds

Answers

Answer: 311 pounds

Step-by-step explanation:

To find the average, add up all of the values and divide by the amount of values.

First add up all of the values.

322+290+321+326+330+315+311+292+290 = 2797

Now count how many values there are and divide your previous sum by it.

2797/9 = 310.78

Because you need to have 3 sig figs, round to the nearest one.

310.78 rounds up to 311.

answer-311

Step-by-step explanation:

322+290+321+326+330+315+311+292+290=2797

Count the number of values and divide by 2797

2797 divided by 9 =310.77777777777777

Nearest one-311

help!! i have no idea how to solve this and its one of my last questions

Answers

Answer:

5

Step-by-step explanation:

If we are solving for c then we do 3^2 which = 9 plus 4^2 which is 16. This totals up to 25 and take the square root of 25 to get 5

5 is the answer you have to have the same
amount of

(20 POINTS!!!) Bob can paint a room in 3 hours, and Suzie can paint one in 2 hours. How long will it take them together to paint a room?

Answers

Answer:

1 hour 12 minutes or 1.2 hours

Step-by-step explanation:

You add fractions to get this.

1 room/3 hours + 1 room / 2 hours = 1 room / x

0.33333333+0.5 = 1 room / x

0.83333333 = 1 / x    Multiply both sides by x

0.83333333x  = 1      Divide by 0.8333333

x = 1/0.833333

x = 1.2 hours or

x = 1 hour and 12 minutes  

3. Order the following numbers on a number line (least to greatest).
A.1.8, 1.35, 2.5, V5
B.1.35,75, 1.8, 2.5
C.1.35, 1.8, V5, 2.5
D.1.35, 1.8, 2:5, V5

Answers

square root of 5 equals 2.236068. So,, Choice C is the correct option witht he numbers from least to greatest. Hope this helps.

ANSWER is: C


Just trust me

PLZ HELP ME!!!!!!!!!!!!!!!!

Answers

Answer:

6

Step-by-step explanation:

To find the GCF do the prime factorization of each term

24: 2x2x2x3

18t: 2x3x3xt

Now find the numbers that they both have in common

That would be 2 & 3

When you multiply them together you should get 6

Answer:   6(4 + 3t)

This is the same as 6(3t + 4) because we can add two terms in any order

To get either answer, we first note that 6 is the greatest common factor (GCF) of 18 and 24. So we factor each term so that a 6 is involved. Then we use the distributive property in reverse like so

24 + 18t = 6*4 + 6*3t = 6(4 + 3t)

The distributive property is a(b+c) = a*b + a*c. We multiply the outer term 'a' by each term inside the parenthesis. Then we add the results.

Rewrite the expression below using the Associative Property of Multiplication: (ab)c

Answers

Answer:

hope this helps

Step-by-step explanation:

(ab)c = (ac)b = (bc)a

Answer:

Here are a couple of examples (a+b)c or (c+b)a or (a+c)b

Step-by-step explanation:

To “associate” means to connect or join with something. According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.

HELP!!!! PLEASE! 10 POINTS Which function is graphed?

Answers

Answer:

f(x)=2x-6

Step-by-step explanation:

Because the slope is 2 and the y-intercept is -6.

[tex]x[/tex]Answer:

The answer would be [tex]f(x)=2x-6[/tex]

Step-by-step explanation:

    The question is basically asking for the slope intercept form and [tex]f(x)[/tex] is equal to [tex]y[/tex]. So after we have figured that out we would have to know what the slope intercept form is, slope intercept form is simply [tex]y=mx+b[/tex]. In the equation [tex]m[/tex] will equal the slope or the rise over run and [tex]b[/tex] will equal the y-intercept and that is all we need to solve this equation.

    If we look at the graph we will see that the line crosses the y axis at the point (0,-6) so knowing that we will remember that [tex]b[/tex] is the y-intercept is where the line crosses the y axis and in this case it is crossing it at -6 so if we plug that into the equation we will get [tex]y=mx-6[/tex].

    Now we will find the slope or [tex]m[/tex]. First we will see the distance between the 2 points on the graph, if we count we will have to go up 6 to get to (0,0) and we will go right 3 so we know that slope is rise over run so you would go up or rise 6 and go right or run 3 so we would get [tex]\frac{6}{3}[/tex] as our slope, but we could simplify this to just 2 so we would get [tex]2x[/tex] as our [tex]mx[/tex].  

    We have solved all of the parts and now we can put it together. So first we would do f of x or [tex]f(x)[/tex] which means function and than we would put [tex]2x[/tex] and finally we would put our [tex]-6[/tex]. When we put that all together we would get [tex]f(x)=2x-6[/tex].

   To check you could just graph this and you would get:

P.S. The f(x) turned into a y in the process:)

In which quadrant does the point (-23 , -10) lie? A. Quadrant II B. Quadrant IV C. Quadrant III D. Quadrant I

Answers

Answer:

C.Quadrant III

EXPLANATION:

IN THIRD QUADRANT THAT'S WHERE -NEGATIVE COORDINATES LIE

True or False: When you interpret a Stem-and-Leaf plot, you make a list of numbers.

Answers

Answer:

False

Step-by-step explanation:

A baker starts with 100 pounds of flour. He uses the following quantities in one day: 3 3/8 lb, 18.25 lb, 8.6125 lb, 7 3/4 lb, and three recipes each requiring 5 7/16 lb. How much flour is left at the end of the day?

Answers

Answer:

45.7 lb

Step-by-step explanation:

3 3 /8 = 3.375 lb

18.25 lb

8.6125 lb

7 3/4 = 7.75 lb

5 7/16 = 5.4375 lb

Flour required of 3 recipes = 3 * 5.4375 = 16.3125 lb

                                                           3.3750  +

                                                          18.2500  +

                                                           8.6125   +

                                                           7.7500   +

                                                         16.3125

Quantity of flour used in a day  =   54.3000  lb

Quantity of left at the end of the day = 100 - 54.3

                                                             = 45.7 lb

pls help me i give brainliest

Answers

If I am not wrong it should be 5 units but still please give me a heart

Answer: I Thing the answer may be 7units. Please correct  me if i'm wrong  

Step-by-step explanation:

Answer two questions about Equations A and B:
A.
3(2+2) = 18
B.
2 + 2 = 6
1) How can we get Equation B from Equation A?

Answers

Answer:

All you have to do is to divide 3 to both sides in order to get rid of 3 and to get Equation B from A.

find the sum of even numbers between 1001 and 10,000 (Arithmetic progressions) DO STEP BY STEP PLEASE ​

Answers

Step-by-step explanation:

arithmetic progression

even numbers between 1001 and 10000

1002,1004,.......9998

Tn=a+(n-1)d

Tn = 9998 last term in the progression of even numbers

a = 1002 first term

d = 2 distance

9998=1002+(n-1)(2)

8996=2n-2

8998=2n

n = 4499 the number of terms

sum = n/2 (a+Tn) = 4499/2(1002+9998)

= (4499/2)(11000) = 24744500

Logic:

notice what happens when you add the first and last terms

1002+9998=11000

1004+9996=11000

.......

HELP FIRST GET BRAINLLEST Which of the statements below are true? Select all that apply. A) Tom's friends are taller than Sam's friends B) Sam's tallest friend is 72 inches tall C) Sam's friends are taller than Tom's friends. D) Tom's tallest friend is over 70 inches tall

Answers

Answer:

B and C are true

Step-by-step explanation:

hope this helps :)

Answer:

I agree, B & C

Step-by-step explanation:

FIRST GETS BRAINLLEST If each 2 cm on the scale drawing below equals 5 feet, what is the actual length of the red line? 11 feet 12.5 feet 14 feet 16 feet

Answers

The actual length of the red line is 12.5feet

Answer:

12.5 feet

Step-by-step explanation:

So we would not have to worry about any line other than red so we would divide 5 cm by 2 cm which is 2.5 cm and if you multiply that by 5 you would get 12.5 feet

Given: f(x) = x2, g(x) = x + 6, h(x) = 7
Find g{fſh(x)}}.
20
169
55

Answers

Answer:

20 or 55

Step-by-step explanation:

It depends because i am not sure what f(x) is.

Case 1: f(x)=x^2

We know h(x)=7 hence f(h(x))=7^2=49 hence g(f(h(x)))=49+6=55

Case 2: f(x)=x*2

We know h(x)=7 hence f(h(x))=2*7=14 hence g(f(h(x)))=14+6=20

Note: x^2 is x to the power of 2 while x*2 is x times 2.

Is this figure an example of a line

Answers

Answer:

No , It has two endpoints.

Explanation: A line segment has two end points with a definite length.

A straight line has neither starting nor end point and is of infinite length.

No, it has two endpoints.

A line is meant to extend infinitely in opposite directions, while a line segment, is meant to have two endpoints. (A and B) This would be an example of a line segment.

Kendra was given this system of equations. Negative 3 x + 7 y = negative 15. Negative 2 x minus 7 y = 5. Kendra’s work is shown in the table. Where, if anywhere, did Kendra first make a mistake? Steps Kendra’s Work Step 1 Negative 3 x + 7 y = negative 15. Negative 2 x minus 7 y = 5. Negative 5 x = negative 10. Step 2 Negative 5 x = negative 10. x = 2. Step 3 Negative 3 (2) + 7 y = negative 15. Negative 6 + 7 y = negative 15. 7 y = negative 9. y = Negative StartFraction 9 Over 7 EndFraction = negative 1 and StartFraction 2 Over 7 EndFraction step 1 step 2 step 3 no mistake

Answers

Answer:

i dont think Kendra made a mistake

Step-by-step explanation:

Given:

Kendra was given this system of equations.

-3x+7y=-15 and -2x-7y=5.

TO FIND :

The steps in Kendra’s work where did she make a mistake.

SOLUTION :

Kendra's work :

Step 1 :

Given equations are  

-3x+7y=-15

and

-2x-7y=-15

Step 2:

Adding the equations (1) and (2) we get

-5 x = -10.

x=-10/-5

x = 2.

Step 3:

Substitute the value of x in the equation (1) we have,

-3(2)+7y=-15

-6+7y=-15

7y=-15+6

7y=-9

y=-9/7

y=-1 2/7

From Kendra's worked steps she made no mistake.

Hope this helps, if it did, please give brainliest, it will help me a lot :)

Have a good day :)

Miguel wants to use coordinate geometry to prove that the
opposite sides of a rectangle are congruent. He places
parallelogram ABCD in the coordinate plane so that Ais (0,0),
Bis (a, 0), Cis (a, b), and Dis (0, b).
What formula can he use to determine the distance from
point A to point B?
A. (2-0)2 + (6-b)2 -
B. Via-0)2 + (0-0) - V-a
C. (2-0)2 + (0-0)2 =
D. V-0)? +(5-6)2 - 12 -
= a

Answers

Answer:

[tex]Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}[/tex]

[tex]Distance = a[/tex]

Step-by-step explanation:

Given

[tex]A = (0,0)[/tex]

[tex]B = (a,0)[/tex]

[tex]C = (a,b)[/tex]

[tex]D = (0,b)[/tex]

Required

Determine the distance between A and B

The distance between points is calculated as thus;

[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Considering points A and B

[tex]A(x_1,y_1) = (0,0)[/tex]

[tex]B(x_2,y_2) = (a,0)[/tex]

Substitute values for [tex]x_1, x_2, y_1[/tex] and [tex]y_2[/tex] in the above formula

[tex]Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}[/tex]

The above expression represents the distance between A and B;

However, it can be solved further as thus

[tex]Distance = \sqrt{( -a)^2 + (0)^2}[/tex]

[tex]Distance = \sqrt{a^2 + 0}[/tex]

[tex]Distance = \sqrt{a^2}[/tex]

[tex]Distance = a[/tex]

Hence, the distance between A and B is a

What is the value of x?
sin 55° = COS X

Answers

Answer:

x=35°

Step-by-step explanation:

Answer:

x = 35°

Step-by-step explanation:

[tex] \sin(55) = \cos(x) \\ \\ x = { \cos( }^{ - 1} \sin(55) ) \\ \\ x = 35[/tex]

Hope this helps you

Estimate the solution to the system of equations. You can use the interactive graph below to find the solution.
y=−x+2
y=3x−4 ​

x=
y=

thank you!

Answers

Answer: x= 3/2 and y= 1/2

Step-by-step explanation:

Since both equations are equated to y, you just need to use substitution to create the equation below:

-x+2 = 3x-4

Solve the equation for x:

4x=6

x=6/4=3/2

Plug in x into any one of the given equations to find the value of y:

y=-x+2

y= - (3/2)+2

y= - (3/2)+4/2

y= 1/2

Hope this helps!

The solution to the system of equations will be x= 3/2 and y= 1/2.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The given equations are y=−x+2 and y=3x−4 ​to calculate the values of x and y using the substitution method.

Since both equations are equated to y, you just need to use substitution to create the equation below:

-x+2 = 3x-4

Solve the equation for x:

4x =6

x =6/4=3/2

Plug x into any one of the given equations to find the value of y:

y =-x+2

Solve for the value of y.

y = - (3/2)+2

y = - (3/2)+4/2

y = 1/2

Hence, the solution for the equation will be x= 3/2 and y= 1/2.

To know more about the system of linear equations follow

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Simplify the following algebraic expression 3/4 (1/2x-12)+4/5

Answers

Answer:

y = 3/8x - 9 + 4/5

Step-by-step explanation:

assuming y = 3/4 (1/2x-12)+4/5

multiply 3/4 and (1/2x - 12)

y = 3/8x - 9 + 4/5

Answer:

Step-by-step explanation:

The LCD here is 120.  Multiplying both terms by 120 and then dividing the result by 120 yields

90(1/2x - 12) + 96           45x - 1080 + 96               45x - 984

-------------------------- = -------------------------------  =  ----------------------

         120                                 120                                 120

A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?

Answers

I think it’s 37, I’m not so sure, I’m sorry if it’s wrong

how do i solve this? isn’t it already simplified? i’ll give brainliest

Answers

Answer:

[tex]-6 <x <-3[/tex]

Step-by-step explanation:

[tex]-53 <9x+1 <-26[/tex]

Add -1 to all parts.

[tex]-53-1 <9x+1-1 <-26-1[/tex]

[tex]-54 <9x <-27[/tex]

Divide all parts by 9.

[tex]-54/9 <(9x)/9 <-27/9[/tex]

[tex]-6 <x <-3[/tex]

-6 < x < -3 is your answer :) i hope this helps! Also givw the other guy credit!
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