PLEASE HELP
what is 30th term of -12, -3, 6, 15

Answers

Answer 1

Answer:

249

Step-by-step explanation:

We can see that the difference of every term in the given sequence is 9, because -12 + 9 = -3, -3 + 9 = 6 and 6 + 9 = 15. We may therefore assume that the sequence is arithmetic (a fancy word of saying that a sequence is increasing with a constant value every term).

Since the difference of every term is 9, we know that the explicit form of the sequence (where the value of every term is expressed in terms of the term number) is in the form [tex]9n+c[/tex], where [tex]n[/tex] is the term number and [tex]c[/tex] is a constant we are going to figure out right now.

We know that the first term of the sequence is -12, so we see that[tex]9(1) + c = -12[/tex] and hence [tex]c=-21[/tex]. Therefore, the 30th term of the sequence is [tex]9(30) - 21 = 249[/tex].


Related Questions

.
Simplify the expression below
4(2x+8y+9)-3x+40
plz help

Answers

Answer:

5x+32y+76

Step-by-step explanation:

First, distribute.

4 x 2x = 8x

4 x 8y = 32y

4 x 9 = 36

Then, combine like terms.

8x - 3x = 5x

36 + 40 = 76

And that leaves 5x+32y+76

4(2x + 8y + 9) -3x + 40
= 8x + 32y + 36 - 3x + 40
= 8x - 3x + 32y + 36 + 40
= 5x + 32y + 76
So, in conclusion, the expression: 4(2x + 8y + 9) -3x + 40 simplified is: 5x + 32y + 76.

I want the answer only, Due now.

Answers

Answer:

Write the equation then try the equation with the numbers from choice A then go down. do all of them. which ever ends up equal is the right answer.

Step-by-step explanation:

I will do the math but you try it first, then ill do the math step by step in the comments, but only if you try it first. im trusting you to try.

While commuting, a driver sets her smartphone to randomly play songs from a pre-selected list. Of the songs on the list, 6 are rock, 5 are hip-hop, and 3 are country. What is the probability that the first song played is rock?

Answers

Out of all the songs played , the probability that the first song played is rock would be, 2/7

Answer: 6/14

Step-by-step explanation: There are 6 rock songs and a total of 6+5+3= 14 songs. So, the probability is 6/14

The function g(x) is defined as shown
What is the value of g(0)?
0-2
-1
3x-2, 45X-2
3
g(x) = -X-1, -25x< 1
6. 15x<3
6
Oo

Answers

Answer:

-1

Step-by-step explanation:

[tex] - 2 \leqslant 0 < 1[/tex]

g(x)=0-1=-1

The value of the function g(0) is -1.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given function g(x) = 3x-2,  -4≤x<-2

g(x) = -x-1,  -2≤x<1

g(x)=6, 1≤x≤3

We need to find value of g(0).

Let us check at which interval the value zero lies.

The zero lies in the interval  -2≤x<1.

So we have to use the function g(x)=-x-1

Now put x as zero

g(0)=-0-1

=-1

Hence, the value of the function g(0) is -1.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

Whole page for 81! Good luck!

Answers

Answer:

Prime number: A prime number has factor of only 1 and itself.

Ex: 3: 1 and 3 are the only ways to compose 3.

A whole number that has factors other than 1 and itself is called a composite number.

Ex: 8: the factors of 8 include 1,2,4,8

Circle 5,7,2,19,3,11

Box 18,20,22,16,15,30,26,38,45,10,21,6,14

To determine the prime factorization of a number, you must break down a number into its factors. (im not sure?)

Continute until all of the factors are (im not sure)

Prime factorization is written exponential form (im not quite sure)

30= 2x3x5

30= 2^1 3^1 5^1

24=2 × 2 × 2 × 3

24= 2^3 x 3

sorry idrk if they are all right

during one year, a family made 4 trips to the water park. the distance from their house to the water park is 39 miles. how many miles did the family drive in 4 trips​

Answers

Answer:

156 Miles in 4 trips.

Step-by-step explanation: 39*4=156

Answer:

156 Miles

Step-by-step explanation:

If they drove 4 trips and each trip is 39 miles you would multiply 4x39

Does anyone know this I don’t know what to put

Answers

Answer:

110

Step-by-step explanation:

3x+5+2x=180

Step 1: Simplify both sides of the equation.

3x+5+2x=180

(3x+2x)+(5)=180(Combine Like Terms)

5x+5=180

5x+5=180

Step 2: Subtract 5 from both sides.

5x+5−5=180−5

5x=175

Step 3: Divide both sides by 5.

x=35

35*3+5=110

Find the greatest common factor 27x2y2, 45x2

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

This cylinder is 7 inches tall and has a volume of 63pi in3. what is the area of the cross section​

Answers

Answer:

area of cross section of cylinder is  inch²

Step-by-step explanation:

Given : Cylinder is 7 inch tall and has a volume of inches³.

We have to find the area of cross section of cylinder.

Area of cross section of cylinder =

To find the cross section first find radius.

Given Volume of cylinder = inches³

Also , Volume of cylinder =

Thus,

Divide both side by 7, we get,

On simplifying , we get,

Since, radius has to be positive, thus neglecting negative term.

Thus, radius of cylinder = 3 inch

Thus, area of cross section of cylinder =

area of cross section of cylinder =

Thus, area of cross section of cylinder is  inch²

Step-by-step explanation:

A set of three scores consists of the values 6, 3, and 2.
Σ2(X – 3)

Answers

Answer:

3. Variável Aleatória (v.a.): Uma função X que associa a cada elemento do espaço ... Se o conjunto de valores é qualquer intervalo de ... P (X < 6) = P(X=5) + P(X=4) + P(X=3) + P(X=2).

I need help finding the answer to this:
Nathan opens a new savings account and makes an initial deposit of $400. If the account earns 2% annual interest, how much interest will he earn in 9 months?

Answers

Answer:

He will earn $6 in interest in 9 months.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Initial deposit of $400.

This means that [tex]P = 400[/tex]

2% annual interest

This means that [tex]I = 0.02[/tex]

How much interest will he earn in 9 months?

An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]

This is E. So

[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]

He will earn $6 in interest in 9 months.

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:

£4414.20

Step-by-step explanation:

Find out how much is 1% of the money invested in his bank account.

100% = 2100

1% = 2100 ÷ 100 = 21

Find out 5.1% which is his interest that he receives every year.

5.1% = 21 x 5.1 = 107.1

Find out how much he receives including interest every year.

2100 + 107.1 = 2207.1

Find out how much he will have after 2 years.

2207.1 x 2 = 4414.2

You do not need to estimate as there isn't an estimated for nearest penny as it has been estimated for you.

What is the distance between the two points? Use
the distance formula:
d= V(x2 – «1)? + (y2 – yı)?

Answers

Answer:

[tex]d= 3.61\ units[/tex]

Step-by-step explanation:

The points (missing) from the question are:

-2,1 and -5,3

Required

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

In the points given:

[tex](x_1,y_1) = (-2,1)[/tex] and [tex](x_2,y_2) = (-5,3)[/tex]

Substitute these values in [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

[tex]d= \sqrt{(-5 - (-2))^2 + (3 - 1)^2[/tex]

[tex]d= \sqrt{(-3)^2 + (2)^2[/tex]

[tex]d= \sqrt{9 + 4[/tex]

[tex]d= \sqrt{13[/tex]

[tex]d= 3.61\ units[/tex] -- approximated

x-1=y what is the answer plz give me the answer

Answers

Answer:

X = 0Y = 1

First of all, observe that this is a line, since you can rewrite the equation as y−x+1=0 , which follows the pattern of the generic line ax+by+c=0 .

To draw a line you need two of its points, which you can connect.

To find two points, you can plug any value for one variable, and solve for the other.

For example, let's choose

x=0 . The equation becomes

0−1=y , and so y=−1 .

The first point is thus (0,−1).

Then, let's choose

x=1 . The equation becomes 1−1=y , and so y=0 . The first point is thus

(1,0).

Now you only need to draw the points

(0,−1)

Step-by-step explanation:

Hope it is helpful...

22 points

Help ASAP Please

Given the equation y = -3x + 1 find the values for y given the value x

If x = 3 then y =

If x = -3 then y =

If x = 4 then y =

If x = -2 then y =

Answers

Answer:

If x = 3 then y = -8

If x = -3 then y = 10

If x = 4 then y = -11

If x = -2 then y = 7

hope this helps! ask me if you don’t understand!

plz help my friend plz and thank you

Answers

The answer is prob c

Answer:

8.7 ≈ 9

Step-by-step explanation:

2πr = 55, so r = 55/(2*3.14) ≈ 8.7579...

Please help I need it thank you

Answers

Answer:

1. b

2.c

3.a

Step-by-step explanation:

welcome

Answer:

1) b: 1,176 sc

2) c: 100 sf

3) a: 225.36

Step-by-step explanation:

: 5 times the difference of x and 4.

Answers

Answer:

i think -6 but idek

Step-by-step explanation:

5(x-4) I believe because you can’t know x so it has to stay as a variable in parentheses with the -4

a elevator is on the 10 floor it goes down 6 floors and then up 4 floors what floor is the elevator on now

Answers

Answer:

8th floor

Step-by-step explanation:

10 - 6 = 4

4 + 4 = 8

Answer:

8 floor

Step-by-step explanation:

gfhshddhdhfhdhrbyuygtv

write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)

Answers

9514 1404 393

Answer:

  y = 4x -7

Step-by-step explanation:

Rearranging the slope-intercept for equation, we can find the intercept:

  y = mx +b

  y -mx = b . . . . . subtract mx

We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.

  b = 9 -4(4) = -7

The desired equation is ...

  y = mx +b

  y = 4x -7

What is the measure (in radians) of central angle 0 in the circle below? Enter an exact expression.

Answers

Answer:

[tex] \frac{\pi^{c} }{3} [/tex]

Step-by-step explanation:

Measure of the length of an arc of a circle is given as:

[tex]l = \frac{ \theta}{2\pi} \times 2\pi r \\ \\ \pi = \frac{ \theta}{2\pi} \times 2\pi \times 3 \\ \\ 3 \theta = \pi^{c} \\ \\ \theta = \frac{\pi^{c} }{3} \\ [/tex]

Jose is giving out prize bags at his party. Each bag must have 3 candy pieces and 4 toys. If Joe bough 15 candy pieces, how many toys does he need to buy? ANSWER ASAP PLEASE

Answers

Jose needs to buy 20 toys

Answer:

question-1 A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?

Solution

The number of chocolate bars is equal to

18 × 25 = 450

Step-by-step explanation:

this is only an example

comment me

aapko yeh kesa lga ?

Cedric multiplied (6x+11) by a second factor to get a product of 36x^2-121. Find the second factor. ​

Answers

Answer:

6x-11

Step-by-step explanation:

36x² - 121 is the difference of squares.

36x² - 121 = (6x+11)(6x-11)

What is the y-intercept of the linear function?

y=5/2x-4

Answers

-4 is the y intercept (b)
the y intercept is -4
hope this helps !

What is the parallel line and slope of a perpendicular like for 3x+5y=4

Answers

Answer:

a line parallel has the same slope and different y-intercept, and the slope of the perpendicular line would be -3/5

Step-by-step explanation:

3x + 5y = 4

5y = -3x + 4

y = -3/5x + 4/5

pleaseeeee help (15 points) ​

Answers

Answer:

Step-by-step explanation:

what are the vocabulary words that u are supposed to use?

Consider the function.
3
f(x) = -X + 12
4
What is the y-intercept of f'(x)?
-16
ООО
- 12
3
4

Answers

Answer:

A. -16

Step-by-step explanation:

Note that [tex]f^{-1}(x)[/tex] stands for the inverse of [tex]f(x)[/tex]. We can write the graph as [tex]y=\frac{3}{4}x+12[/tex]. Switching [tex]y[/tex] with [tex]x[/tex] and vice versa will now get us the inverse of the graph, so we see that the inverse is [tex]x=\frac{3}{4}y+12[/tex].

We are asked for the y-intercept, which is the point for which [tex]x=0[/tex]. Substituting that gives [tex]0=\frac{3}{4}y + 12[/tex] or [tex]\frac{3}{4}y = -12[/tex], so [tex]y=-12\cdot \frac{4}{3} = -16.[/tex] We are now done.

In APQR, PR is extended through point R to point S, m_PQR = (2x + 1)º,
mZQRS = (10x – 10°, and mZRPQ = (3x + 14)°. What is the value of
x?

Answers

Answer:

I’m doing i-Ready and my question hasn’t been answered

Step-by-step explanation:

-9 - 3x4 pls show work

Answers

Answer:

3

Step-by-step explanation:

3x4 is 12 and then you subtract them from each 9ther

The answer is -21.
-9-3*4. 3*4=12
-9-12
=-21

please help me find slope

Answers

Answer:

the slope is 3 because y2-y1/x2-x1 is equal to your slope.

5-2 is 3 and 2-1 is 1, 3/1 is equal to 3.

Step-by-step explanation:

Answer:

The answer is 3

Step-by-step explanation:

Have a great Thursday!

:)

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