Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.

Find The 18h Term Of The Arithmetic Sequence Whose Common Difference Is D=4 And Whose First Term Is A,

Answers

Answer 1

Answer:

the 18th term is 71

Step-by-step explanation:

The general form for any term "n" in an arithmetic sequence is:

a(n) = a1 + (n-1) * d

where "d" is the common difference.

So, in our case we have:

a(n) = 3 + (n-1) *4

Therefore, the 18th term will be:

a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71


Related Questions

PLEASE HELP Christine walks 0.5 miles around the lake in 10 minutes.



What is the unit rate of her speed in miles per minute?

Answers

Answer:

Her speed is 0.05 miles per minute

Step-by-step explanation:

The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:

0.5 miles in 10 minutes. So

0.5/10 = 0.05 miles per minute

Her speed is 0.05 miles per minute

The total for some groceries at the store was $25.63. With 8% sales tax, what is the total? $

Answers

Answer:

$2.05

Step-by-step explanation:

just do the math bro

Answer:

$27.72

Step-by-step explanation:

I hope this helps!!!

11 b = 5, what is a
B. 25
C, 75
D. 125

Answers

Answer:

2.2

Step-by-step explanation:

In order of operation plsss help 10/5 + 3 x 5 - 5

Answers

The answer is 12
Step one- 10 divide by 5 is 2
Step two- 3 times 5 is 15
Step three- add them together is 17
Step four- then subtract 17 from 5
Final step- then your answer will be 12

Solve for x : 5= 2+3x. Single choice. answer choices:

x=7/3

x=1

x=-1

Answers

x=1

5=2+3x

subtract 2 from both sides

3=3x

divide 3 on both sides

3= x

Answer:

answer is x=1

Step-by-step explanation:

][[[[[[[[[

Put these fractions in order of size

Answers

1/6 = 4/24
3/8 = 9/24
11/24
1/3 = 8/24
5/12 = 10/24

1/6, 1/3, 3/8, 5/12, 11/24

A school staff meeting had 50 teachers in attendance, 30% of whom were first-year teachers.
How many first-year teachers were in the meeting?

Answers

Answer:

15

Step-by-step explanation:

50 times 30 over 100 you will get 15

Alecia had save 60% of the cost of a new cell phone. If she has saved $105, what is the full price of the cell phone?

Answers

40% more rhdjdjdjdjdjdbdbdbd

2. Write the equation –3x + 5y = 10 in slope-intercept form.

Answers

Y=3/5x+2

Hope this helps

​9 ×​ 10²
I NEED ANSWERS QUICK

Answers

900.


Hope this helps!

Write an equation for the function whose graph is described.
The shape of f(x) = |x|, but shifted 19 units up and then reflected in the x-axis

Answers

Answer:

f(x)=-|x|+19

Step-by-step explanation:

so shifted 19 units up means

abosolute value of x + 19

and reflected in the x axis means that you have to put the - before the abosolute value.

so -|x|+19

pls solve for x, will give brainliest to whoever

Answers

Answer:

60 degrees

Step-by-step explanation:

all angles of an equilateral triangle are 60 degrees

Answer:

x=60

Step-by-step explanation:

We know that since all sides are the same, all angles are the same.

x=angle

(180) is the amount of degrees when you add up all of the angles in the triangle

3x=180

x=60

calcule el cociente de los siguientes ejercicios
(-8)/(+2)​

Answers

Answer:

-4

Step-by-step explanation:

5 is 1% of what number?

Answers

Answer:

500

Step-by-step explanation:

well uh, 5 x 100 is 500 and it’s out of 100%.

Answer:

500

Step-by-step explanation:

PLEASE HELP WILL GIVE LOTS OF POINTS & BRAINLY!!

Answers

Answer:

the amplitude is 5

the period is 4 pi

Step-by-step explanation:

(20,-6)(6,5) find the slope

Answers

Slope (m) =
ΔY
ΔX
=
5
4
= 1.25
θ =
arctan( ΔY )
ΔX
= 51.34019174591°
ΔX = 6 – -6 = 12
ΔY = 20 – 5 = 15
Distance (d) = √ΔX2 + ΔY2 = √369
= 19.209372712299

Equation of the line:

y = 1.25x + 12.5

or
y =
5 x
4
+ 25
2
When x=0, y = 12.5
When y=0, x = -10

A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).

(a) Determine the slope of the new road.

(b) Determine the equation of the new road.

Answers

Determine the equation of the new road

a) The slope of the new road is given by m = -4

b) The equation of line is y = -4x + 32

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( 4 , 7 )

Let the second point be represented as Q ( 2 , 15 )

Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 15 - 7 ) / ( 2 - 4 )

Slope m = 8 / -2

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 4 = ( -4 ) ( x - 7 )

On simplifying the equation , we get

y - 4 = -4x + 28

Adding 4 on both sides of the equation , we get

y = -4x + 32

Hence , the equation of line is y = -4x + 32

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

What is the scale factor of this dilation?

A:2/3
B:1 1/2
C:3
D:5


Please hurry it’s timed

Answers

Answer:

1 1/2

B

Step-by-step explanation:

the value of the 5 in the number 40.52 is _____ the value of the 5 in 115.78?​

Answers

It is the place value in the hundreds

The value of each digit in a number is known as the place value. The value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

What is the place value of a digit in a number?

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10

The value of 5 in the given numbers can be written as,

The value of the 5 in the number 40.52 is 0.5.The value of the 5 in the number 115.78 is 5.

Now, we can write the value of the two numbers as,

5 = 0.5 × x

x = 5/0.5

x = 10

Hence, the value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

Learn more about the Place Value here:

https://brainly.com/question/27734142

#SPJ2

Choose >, <, or = to compare each pair of numbers

5.31 ______ 5.13

Answers

Answer:

>

Step-by-step explanation:

Answer:

5.31 > 5.13

Step-by-step explanation:

5.31 is greater than 5.13 as it is farther than 5.13 on the number line.

Someone please help

Answers

The total is 360°. Your answer would be 120, if you subtract the other angles from 360.

Answer:

100

Step-by-step explanation:

360 is the total degree for every quadrilateral. 80+75+105=260. 360-260=100.

Mr. Thomas bought 12 pounds 8 ounces of flour. If he uses 4 ounces of flour for each batch of
sugar cookies, how many batches of sugar cookies can he make? (1)


Answers

Mr. Thomas can make 50 batches of sugar cookies

Which expression are equivalent to 5(1/3x + 7)-3(1/2x -4)? Select three options.

Answers

Answer:

Step-by-step explanation:

The middle three expressions are equivalent.

Answer:

The above answer is correct

hope it is helpful to you

help me out not all just what you can

Answers

9514 1404 393

Answer:

  1e. 2t² +8t -6

  2h. a² +2ab -3b²

  3b. 8r +4

  4b. 6x +4y -11

  5b. e -3

Step-by-step explanation:

1e. Combine like terms.

  (3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6

  = 2t² +8t -6

__

2h. (2a² +3ab -4b²) -(a² +ab -b²)

Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.

  = 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)

  = a² +2ab -3b²

__

3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.

  P = (4r -2) +2(2r +3)

  P = 4r -2 +4r +6 . . . . . . eliminate parentheses

  P = 8r +4 . . . . . . . . . . . . combine like terms

__

4b. (3x +4y) +(5x -8) -(2x +3)

Note that the distributive property changes the sign of all terms in the last parentheses.

  = 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses

  = x(3+5-2) +y(4) +(-8-3) . . . group like terms

  = 6x +4y -11

__

5b.

  Bill's age - Erin's age = (2e-3) -(e) = e -3

The difference in their ages is (e -3).

The phone lines to an airline reservation system are occupied 61% of the time. Assume that the events that the lines are occupied on successive calls are independent. If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls

Answers

Answer:

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Step-by-step explanation:

For each call, there are only two possible outcomes. Either the lines are occupied, or they are not. The events that the lines are occupied on successive calls are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The phone lines to an airline reservation system are occupied 61% of the time.

This means that [tex]p = 0.61[/tex]

If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls

This is P(X = 5) when n = 11. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{11,5}.(0.61)^{5}.(0.39)^{6} = 0.1373[/tex]

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Find the exact value of csc 5pi/6

Answers

Answer:

csc 2 (csc [tex]\frac{5\pi}{6}[/tex] = csc 150 = csc 30 = csc 2)

Step-by-step explanation:

csc [tex]\frac{5\pi}{6}[/tex] is in the 2nd Quadrant where only sin, and csc are positive.

csc [tex](\frac{5\pi}{6})=csc (\pi -(\frac{5\pi}{6}))=csc(\frac{5\pi}{6})[/tex]

but csc [tex]\frac{5\pi}{6}[/tex] = [tex]\frac{1}{sin (\pi/6)} = \frac{1}{sin 30} = \frac{1}{1/2} =2[/tex]

Question 3
Describe the function between x=-4 and x = -1.

Answers

Answer:

liner increasing

Step-by-step explanation:

Choose the number that correctly completes the ratio table.

Answers

Answer:

its 8:9

Step-by-step explanation:

It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.

Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x

a y = 14^x
b y = -3 (17)^x
c y = 120x
d y = -275x

Answers

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

Consider proving the following.

Given Right isosceles △ABC with leg length 2s, right isosceles △WXY with leg lengths s, CA¯¯¯¯¯¯¯¯∥WY¯¯¯¯¯¯¯¯¯
Prove △ABC is similar to △WXY.




A student says the first step of the proof is "Reflect △ABC in AB←→ to create △ABC′." Which of the following statements logically comes next?


1. Rotate △ABC′ 90∘ about point A.

2. Reflect △WXY in WX←→− to create △WXY′.

3. Translate △ABC′so that point A maps to point W.

4. Find the hypotenuse of △ABC′ in terms of s.

Answers

Answer: 2

Step-by-step explanation:

Other Questions
You and your friend are standing back-to-back. Your friend runs 16 feet forward and then 12 feet right. At the same time, you run 12 feet forward and then 9 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball? Select all the fractions that are represented by a repeating decimal . What is one key Islamic belief about God?HELPPPP Select the capitalized word that is the antecedent of the pronoun 'their'. "He was a GIANT of a MAN who could pick up four HORSES with their LOAD of logs and turn them around on the ROAD." BRAINLY 3. A sprinkler rotates 75, pauses, and then rotates another 75, How many degrees did it rotate altogether?0 degrees140 degrees150 degrees 160 degreesHelp? All forces acting upon a body are equal in magnitudeand opposite in direction. The object is initiallymotionless and will remain motionless.What is this condition called? How affects lector personality Mighty Kate as a rollercoaster goes downhiQuestion 2 options:kinetic energy is converted into potential energypotential energy is converted into kinetic energyelectrical energy is converted into potential energypotential energy is converted into electrical energyll Why are some islands in the Caribbean called the Greater Antilles and others called the Lesser Antilles? PLS HeLP ASAP THIS IS Due verY SOON HELP ME WITH THIS PLEASE I need help again????? Red blood cells: send messages protect the body support bones transport oxygen Can someone help me China instituted a one-child policy in 1979 because the government recognized thatthe country is the most populated in the world.major cities were suffering from overcrowding.the large aging population was draining the economy.overpopulation would result in limited space and resources,lol -26 =3v +1 can i please get a answer How does the author use loaded language to convey his point of view about throwing thingsaway? Cite examples from the text. i need help with this question attached An object accelerates at 50 m/s/s with a force of 100 N. What is its mass? Ana ran 12.5 miles on week one of her training. On week two she ran 5 6/8 miles. How many more miles did she run on week 1 than week 2?A. 7 5/6B. 7 1/4C. 17 7/10D. 17 6/16 pls help aspappppppp Steam Workshop Downloader