What is the nineteenth term of an arithmetic sequence with first term 9 and common difference 5?

Answers

Answer 1

Answer:

The 19th term is 99.

Step-by-step explanation:

We can write a direct formula and use it to find the 19th term. Recall that the direct formula for an arithmetic sequence is given by:

[tex]x_n = a + d(n-1)[/tex]

Where a is the initial term and d is the common difference.

Since the first term is 9 and the common difference is 5:

[tex]\displaystyle x _ n = 9+5(n-1)[/tex]

To find the 19th term, let n = 19. Thus:

[tex]x_{19} = 9+5(19-1)[/tex]

And evaluate:

[tex]\displaystyle \begin{aligned} x_{19} &= 9+5(18) \\ &= 9+90 \\ &= 99\end{aligned}[/tex]

The 19th term is 99.


Related Questions

At a restaurant your total bill is $45. Sales tax is 5%. What is your total bill after tax?

Answers

2.25 is the answer to your question

Answer:

47.25

Step-by-step explanation:

Heres how I found the answer:

if sales tax is 5%, then we need to find 5% of 45 and add it to 45!

5% of 45= 2.25

(I found this by doing 45*5%, or 45*.05)

Now, add 2.25 to 45!

Total bill=47.25 dollars

Hope I could help!

What is the slope of the line with the equation: y+6=24-2x
pleeaseeee

Answers

Answer:

The slope is -2

Step-by-step explanation:

y+6=24-2x

y=18-2x

y=-2x+18

Answer:

Slope = -2

Step-by-step explanation:

Changing this problem (y+6=24-2x) to Slope Intercept form turns it into y=-2x+18.

the formula is written as y=mx+b m=slope b=y-intercept and x & y being a certain number that is unknown . Therefore, the slope of the equation y=-2x+18 will be

m=-2/1 rise/run

Please help I’ll love u forever

Answers

Answer:

3. non linear

4. weak

Step-by-step explanation:

3. it doesn't go in a line

4. it's a weak association.

Write an inequality that represents the graph.

Answers

espaneool

Step-by-step explanation:

help with this graph please and thanks​

Answers

Basically the dot would go where the -2 and the -5 meet up. (PS make this brainliest.)

What is 3/7 + 4/18 estimated

Answers

Answer:

41/63

Step-by-step explanation:

41/63 can't be simplified

Answer:

3/7+4/18=41/63

Step-by-step explanation:

3/7=3x18/7x18=53/126

4/18=4x7/18x7=28/126

54/126+28)126=54+28/126=82/126

82/126

simplify

41/63

Need help l don’t understand could someone help me?

Answers

Answer:

first put the numbers and unknowns to different sides, as in 6x-3x= 14-5, now solve for x, 3x=9, divide each side by 3 to get the value of x, x=3

Step-by-step explanation:

I did it for you. (Step by step)

I hope this helps.

Select the correct answer.
A pound is approximately 0.45 kilogram. A person weighs 87 kilograms. What is the person's weight, in pounds, when rounded to the nearest
whole number?
ОА
52 lb
B.
180 lb
OC. 39 lb
OD. 193 lb

Answers

Answer:

193

Step-by-step explanation:

87 divided by .45

193.333333333

need help on these 2 questions

Answers

Answer: y = -1 and x = 3

Step-by-step explanation:

x=-2y+6

3x-4y = 28

There are two ways to solve this:  1) solve directly with the equations, and 2) graph the line and look for the intersection.

---

Use the definition of x from the first equation and substitute it in the second:

3x-4y = 28

3(-2y+6)-4y = 28

-6y + 18 -4y = 28

-10y = 10

y = - 1

---

Graph the two lines and find the value of y at the point they intersect.  See the attachment.

y = -1 at x= 8

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

For the second question:

y=3x-10

4x+5y=7

---

4x+5y=7

4x+5(3x-10)=7

4x+15x-50=7

19x = 57

x = 3

----

Your family goes to a restaurant for dinner. There are
12 people in your family. Some order the chicken dinner for
$14.99 and some order the steak dinner for $25. if the total
bill was $219.92, how many people ordered each type of
dinner?

Answers

Answer:

8  chicken and 4 steak .

Step-by-step explanation:

8 x 14.99 =  119.29

4 x 25 = 100

What is the equation of the line with a y-intercept of -10 and a slope of 7?

Answers

Answer:

do it got a picture

Step-by-step explanation:

answer: y=7x-10

y=mx+b
y=slope(x)+y-intercept

The perimeter of a rectangle is 18 inch. The length is three inches more than width. What is length?

Answers

Answer:

6 inches.

Step-by-step explanation:

If the width is x inches then the length is x + 3.

S0

Perimeter = 2x + 2(x +3)

18 = 2x + 2x + 6

4x = 18 - 6 = 12

x = 3.

So the length = 6 inches.

Perimetre = 18 inch

Let the width be x

length = x+3

Perimetre of rectangle = 2(length+width)

18 = 2[(x+3)+x]

18 = 2(2x+3)

18 = 4x+6

4x = 18 - 6

4x = 12

° x = 12/4 = 3

Length = x+3 = 3+3 = 6

° The length of rectangle is 6 inch.

Use the distributive property to remove the parentheses
Simplify your answer as much as possible,
10(2/5-3x)

Answers

Answer:

4 - 30x

Step-by-step explanation:

10(2/5-3x)

(10 x 2/5) - (10 x 3x)

4 - 30x

Step-by-step explanation:

10 ×2/5 = 4

10 × -3x = - 30x

= 4 - 30x

Find the greatest common factor of 15c and 8c2.

Answers

the greatest common factor would be c

( 8 x 400 ) + ( 8 x 9 )

Answers

Answer:

3,272

Step-by-step explanation:

8 x 400 = 3200

8 x 9= 72

3200 + 72 = 3,272

4. Which of the following is an example of an expression?
1. 3y - 4x -12
2. 4x + 3y
3. y > -2x - 1
4.9x < -27

Answers

Answer:

i believe its 2 but i might be wrong sorry if i am

Step-by-step explanation:

I think it could be number 1 or number 2

pls i cant do this more longer i need help i will give brainlist !!!!!!!!!

Answers

Basically, 6 is the base number for this. The equation for this is 6 * 3^n

The 12th number in this sequence is 3,188,646

Hope this helps :)

Answer:

Step-by-step explanation:

6, 18, 54, 162, ...

[tex]a_{1}[/tex] = 6

r = 3

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

[tex]a_{12}[/tex] = 6 × [tex]3^{11}[/tex] = 1,062,882

what is 56/53 = I'm so confused I used my calculator but i don't know whats accurate

Answers

Answer:

1.05660377358 or 1.06 rounded

Step-by-step explanation:

If it needs to be rounded, use 1.06 or 1.057. If not, the exact answer is 1.05660377358.

Answer:

1.056603774

Step-by-step explanation:

A car dealer starts the month with 120 cars. The dealer sells 3 cars each day. The number of cars remaining on any day can by modeled by the function f(x) = 120 - 3x. What should the domain of the function be if you want to know the number of cars remaining on any day during the month? What are the maximum and minimum values during the month?

Answers

The domain of the function to know the number of cars remaining on any day during the month is [0, 40]. The maximum and minimum values are 120 and 0 respectively.

The domain is the all inputted value for which the function is defined. All the x values are domain of a function.

Now, finding the domain of the function,

We know that, the number of cars cannot be negative, so

[tex]f(x)\geq0\\120-3x\geq0\\3x\leq120\\x\leq40[/tex]

The number of cars should be greater than 0, so x > 0.

So, the domain will be [0, 40].

The maximum value is given by putting x = 0,

[tex]f(0)=120-3(0)\\=120[/tex]

The minimum value is given by putting x = 40,

[tex]f(40)=120-3\times40\\=120-120\\=0[/tex]

Therefore, the domain of the function f(x)=120-3x to know the number of cars remaining on any day during the month is [0, 40]. The maximum and minimum values are 120 and 0 respectively.

To learn more about the Domain of Functions visit here:

https://brainly.com/question/1369616

#SPJ1

1 L = 0.26 gal

How many liters are in 13.39 gallons?

Answers

Answer:  50.686664

Step-by-step explanation: hope this helps :)

If 15 out of 25 students are boys,what percent of the class is made up of boys?

Answers

Answer: 6%

Step-by-step explanation:


Profit is defined as earnings less expenses (earnings - expenses). At the local hot-air balloon festival, the Ma & Pops Ice Cream Truck sells ice cream pops, which cost them $0.75 each, but are sold for $2 each. They also paid $50 to the festival's organizers for a vendor permit. The table below shows the earnings, expenses, and profit earned when 50, 75, and 100 ice cream pops were sold at the festival.

Answers

Answer:

Step-by-step explanation:

50 POINTS!!!!!!!!
(if you answer just for points or its a wrong answer and no effort was put fourth, then I will report and remove your answer, however a correct answer I will mark with a brainliest)
Please also provide and in detail explanation on how you solved it.
Substitution:
2x + 4y = 0
y = -8x

Basically I dont understand how to do it if it has an x value on both the top and the bottom equation.

Answers

Answer:

x=0, y=0

(0,0)

Step-by-step explanation:

First you see that y= -8x, so you would place that in the y variable for the question above, which means your question would now be 2x+4(-8x)=0. Now you would solve 4 time -8x which is -32x. The equation would then be 2x-32x=0. Then you would Combine Like Terms which would get you -30x=0. Then you divide -30 by 0 which gets you an x = 0. Then you would solve for y.   Lets make it easy. You can plug in the x to any of the substitution problems, but I prefer doing it to y= -8x since it is easier. You will see why. You would then do, -8(0) (0 is the x value) and your answer would be 0, because -8 times 0 is well 0. Once you got this, you know your x is 0 and y is 0, so your answer would be (0,0). The reason it is easier to substitute the bottom rather than the top is because for the top, you would do 2(0) + 4y = 0, then you would solve which gets you 0+4y=0, then subtract 0-0 which is 0, then you would divide 4y by 0 which gets you an answer of 0. This is much more complex than just substituting the problem for y = -8x. I really hope this helps you out. I know it is confusing, but if you keep on solving more of these and working them out, then it will become much easier for you.

If 1=3

2=3

3=5

4=4

4=4

Then, 6=?
[tex] \: \: \: [/tex]

Answers

Answer:

6 = 3

If u write 1 in word then u will write one and if you count the letter it will give u 3 .

Similarly if u write the number 2,3,4,5 in word and count the number you will get 3,5,4,4 respectively .

So ,If u write 6 in a word you will write six and on counting the letter you will get 3 .

Hence ,

6 = 3

Can someone help me with this problem plz

Answers

Answer:

mq - 12

ql - 36

Step-by-step explanation:

I am not for sure but this is what I think it is because the m-q is smaller than the q-l

x - 9 = 1/4x + (1/4x + 12) +(1/4x - 3)

Answers

Answer:

x=72

Step-by-step explanation:

x-9=3/4 ⋅ x+9

1/4 ⋅ x -9=9

1/4⋅x=18

x=72

What number could replace n?
6/12 = 2/n
n = ___

Answers

n = 4

Since you divide 6 by 3 to get 2, you divide 12 by 3 and you get 4.

Answer: 4

Step-by-step explanation: This problem is already set out as a proportion. you can cross multiply 6 times n which gives you 6n. Then 12 times 2 which gives 24.

Now you have 6n = 24. You can divide right away, or think of a number when you multiply into 6 gives you 24. Its obvious the answer is 4 because 6 x 4 = 24.

Check:

6/12 = 1/2

2/4 = 1/2

Hope this explanation helps.

help po plsss !!!!!!!​

Answers

Answer:

q2 =is tens

q4 is ones

q5 is tens

q8 is ones

q9 is tens

Step-by-step explanation:

I am not sure for these answers

q1 is hundreds

q3is hundreds

q7 is thousands

more I don't know

Answer:

1) Tenths

2) Hundredths

3) Tenths

4) Thousandths

5) Hundredths

6) Tens

7) Tenths

8) Ten Thousandths

9) Ten Thousandths

10) Tenths

1) 0.84

2) 0.7

3) 0.5

Brainliest would be appreciated. :-)

write an equation of the line passing through the point (5,2) that is perpendicular to the line "-x+3y=12"

Answers

Answer:

y = -3x + 17

Step-by-step explanation:

first, change the equation into slope-intercept form

add 'x' to each side to get:

3y + x = 12

divide each side by 3 to get:

y = 1/3x + 4

now we need to use a slope that is the opposite reciprocal of 1/3 which would be -3, in conjunction with the point (5,2), by entering these values into the slope-intercept form so we can find the y-intercept ('b') of the new line:

2 = -3(5) + b

2 = -15 + b

17 = b

put slope and y-intercept together to get:

y = -3x + 17



Help please (50 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent

Answers

Answer:

R3. alternate interior angles

( alternate interior angles are always congruent )

S4. AC = CA

R5. ASA triangle congruence property

( you have 2 angles and the included side, so you know they're congruent )

lmk if you want an actual explanation

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