a_(n)=7n-1 9 ( what is the fourth term)

PLEASE HELP ASAP.

Answers

Answer 1

Answer:

Fourth term of given arithmetic progression a(4) = 30

Step-by-step explanation:

Given incomplete information:

a(n) = 7n - 1 9

Assume Correct information:

a(n) = 7(n - 1) + 9

Find:

Fourth term of given arithmetic progression

Computation:

Fourth term of given arithmetic progression = a(4)

So,

Number of term (n) = 4

So,

a(n) = 7(n - 1) + 9

a(4) = 7(4 - 1) + 9

a(4) = 7(3) + 9

a(4) = 21 + 9

a(4) = 30

Fourth term of given arithmetic progression a(4) = 30


Related Questions

Express 2³a²b in factor form

Answers

Answer:

In factor form, the answer is ---> 8a^2b

Step-by-step explanation:

2³a²b

= (2^3) (a^2) b

= 8a^2b

Using only the values given in the table for the function f(x) = x^3 - 3x - 2 what is the interval of x-values over which the function is decreasing?

Answers

Answer:

3 = 3(x² - 1) We know, any Function f(x) decrease s in interval [a, b] when f'(x) < 0 ... -1 < x < 1. Hence, function f(x) = x³ - 3x - 2 , is decreased in (-1, 1).

Sum of zeroes of polynomial 2x²-x-3 is ? Full solved answers ✔ No spam ❌​

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 , then the sum of the roots is

α + β = - [tex]\frac{b}{a}[/tex]

Here 2x² - x - 3 = 0 is in standard form

with a = 2 and b = - 1 , then

sum of roots = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]

Which expression below equals a rational number, choose all that apply.
Please help.

Answers

Answer:

BELOW IN BOLD.

Step-by-step explanation:

4/5 + 3/8

= 47 / 49 which id Rational

√100 + √5

= 10 + √5; - Irrational

7√5 - √245

=7√5 - 7√5

= 0  RATIONAL

Next one = 56 so Rational

Last one is Irrational

y = 4x – 10
y = 2
What is the solution to the system of equations?

(3, 2)
(2, 3)
(–2, 2)
(2, –2)

Answers

Answer:

(3,2)

Step-by-step explanation:

y = 4x – 10

y = 2

Substitute the second equation into the first

2 = 4x-10

Add 10 to each side

2+10 = 4x-10+10

12 = 4x

Divide each side by 4

12/4 =4x/4

3 = x

The solution is

(3,2)

Answer:

(3,2)

Step-by-step explanation:

y = 4x – 10...(1) y = 2...(2) You have y=2 here, substitute it in equation (1),

y = 4x – 10 2 = 4x – 10

Add both sides by 10 12=4x

Divide both sides by 4 x=3

We have x=3, and y=2. ==> (x,y) = (3,2) 

Find the average rate of change of a function that contains the points (-2,3) and (2,5). -2, -1/2, 1/2, 2

Answers

Answer:

The answer is "[tex]\frac{1}{2}[/tex]".

Step-by-step explanation:

Given points:

[tex](-2,3)\\\\(2,5)\\\\[/tex]

average rate=?

[tex]x_1=-2\\\\y_1=3\\\\x_2=2\\\\y_2=5[/tex]

[tex]average\ rate=\frac{y_2-y_1}{x_2-x_1}[/tex]

                     [tex]=\frac{5-3}{2-(-2)}\\\\=\frac{5-3}{2+2}\\\\=\frac{2}{4}\\\\=\frac{1}{2}[/tex]

Calculate 6+9i/-1+4i

Answers

Multiply the numerator and denominator by the conjugate of the denominator:

[tex]\dfrac{6+9i}{-1+4i} \times \dfrac{-1-4i}{-1-4i} = \dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2}[/tex]

Simplify:

[tex]\dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2} = \dfrac{-6-9i-24i-36i^2}{1-16i^2} = \dfrac{-6-33i-36i^2}{1-16i^2} = \dfrac{-6-33i+36}{1+16} = \boxed{\dfrac{30-33i}{17}}[/tex]

Please help, I’ll give brainly!!!

Answers

Answer:

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

13.

4n - 40 = 7 (-2n +2)

4n - 40 =  -14n + 14

4n +14n = 14 +40

18n = 54

n = 54 / 18

n = 3

14.

7(5a - 4) -1 = 14 - 8a

35a -28 -1 =  14 - 8a

35a -29 = 14 - 8a

35a +8a = 14 +29

43a = 43

a = 43/43

a = 1

15.

-31 - 4x = -5 - 5 ( 1 + 5x)

-31 - 4x = -5  -5 - 25x

-31 - 4x = -10 -25x

-4x +25x = -10 +31

21x = 21

x = 21/21

x = 1

16.

38 +7k = 8 (k +4)

38 +7k = 8k + 32

38 - 32 = 8k -7k

k = 6

plssssss help me answer this quickly

Answers

Answer:

Step-by-step explanation:

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

Answers

GỌI CẠNHngắn: x, x>0DÀI: X+  30ĐƯỜNG CHÉO [tex]\sqrt{ x^{2} +(x+30)^{2} }[/tex] [tex]\sqrt{ x^{2} +(x+30)^{2} }[/tex]   =X+60[tex]x^{2} +(x+30)^{2}[/tex]=  [tex](x+60)^{2}[/tex] [tex]x^{2} =(x+60)^{2} -(x+30)^{2}[/tex][tex]x^{2} =(x+60+x+30) * (x+60-x-30)[/tex][tex]x^{2} = (2x+90)*30[/tex][tex]x^{2} = 60x+2700[/tex][tex]\left \{ {{x_{1} =90} \atop {x_{2} _=(-30)}} \right.[/tex]suy rax =9 0nênngắn =90mdài=120mĐƯỜNG CHÉO: [tex]\sqrt{90^{2} +120^{2} }[/tex]=150

3. A publishing house is selling subscriptions to its magazines for 20% off the original price. If a
subscription to Newsweek Magazine is on sale for $72, how much does it usually cost?]
a) $14.40
b) $57.60
c) $86.40
d) $90

Answers

Answer: D $90

Explanation: 20% of 90 dollars is 18 dollars. So 90-18 is $72/the sale price.
So the original price was $90

how many solutions does the equation below have? 3x-8=-2x+9/3

Answers

Answer:

1

Step-by-step explanation:

[tex]\\ \sf\longmapsto 3x-8=-2x+\dfrac{9}{3}[/tex]

[tex]\\ \sf\longmapsto 3x-8=-2x+3[/tex]

[tex]\\ \sf\longmapsto 3x+2x=3+8[/tex]

[tex]\\ \sf\longmapsto 5x=11[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{11}{5}[/tex]

Find the magnitude of the vector. Write your answer in simplified form.
hor
8
6
4
NO
Х
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
-6
-8
-10
look

Answers

[tex] \sqrt{117} [/tex]

If there are:
6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble
What is the probability of picking 1 red marble and 1 green marble?

(Once a marble is chosen it IS put back into the box).

(Write your answer in the form of a decimal, round to 2 places).

Answers

Answer:

0.06

Step-by-step explanation:

Total number of marbles:

6 + 10 + 5 + 1 = 22 marbles

Probability of picking 1 red marble:

red marbles / total marbles

6/22

Probability of picking a green marble:

green marbles / total marbles

5/22

Now, multiply the probabilities:

6/22 • 5/22 = 15/242 = 0.06

please help me in solving this​

Answers

Answer:

it can be 5 from my side is that right

Answer:

is ur question right

Step-by-step explanation:

is ur question right

is ur question right

is ur question right

what’s is the quotient for the rational expression shown below?

Answers

Answer:

D

Step-by-step explanation:

D is the correct answer

2.6767.......

How do I write 2.67 w/ repeating 67 as a simplified fraction,...

Please show work (or provide explination)

Answers

Answer:

[tex]\displaystyle \frac{265}{99}[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] be equal to the fraction form of the decimal.

[tex]x=2.\overline{67}[/tex]

Multiply both sides by 100:

[tex]100x=267.\overline{67}[/tex]

The reason we multiply both sides by 100 is that 2.6767... has two repeating decimals, 6 and 7, and 100 has two zeros.

Now, we have these two equations:

[tex]100x=267.\overline{67}[/tex]

[tex]x=2.\overline{67}[/tex]

Subtract [tex]x=2.\overline{67}[/tex] from [tex]100x=267.\overline{67}[/tex]:

[tex]100x=267.\overline{67}\\- x=2.\overline{67}\\\rule{70}{0.5}\\99x=265[/tex]

Isolate [tex]x[/tex] by dividing both sides by 99:

[tex]\displaystyle x=\frac{265}{99}[/tex]

I hope this helps!

90 is 30% of what number

Answers

Answer:

300

Step-by-step explanation:

Is means equals and of means multiply

90 = 30% *n

90 = .3n

Divide each side by .3

90/.3 = n

300 = n

Please tell me whats the number?

Answers

Answer:

5/6

Step-by-step explanation:

15/18

Divide the top and bottom by 3

15/3 = 5

18/3 = 6

5/6

[tex]\frac{5}{6}[/tex]

I have simplified:)

To simplify, you have to divide the numerator & denominator by 3

BTW,I am also an Acellus student!:)

-3z-z

HELP PLZ


Hahsjsjsnsksns snskskd

Answers

Answer:

-4z

Step-by-step explanation:

-3z-z

= -4z

Answer:

-4

Step-by-step explanation:

[tex] - 3z - z[/tex]

[tex] - 3z - 1z[/tex]

[tex]( - 3 - 1)z = - 3 - 1[/tex]

[tex] - (3 - 1)[/tex]

[tex] = - 4z[/tex]

Plz help........
1. -1114 ÷ ( - 117)

2. -212 ÷ ( -123)

3. - 512 ÷ 58

4. 27 ÷ ( -79)

Answers

Answer:

1. 1114/117        2. 212/123       3. -256/29       4. -27/79

Step-by-step explanation:

1. 1114/117

2. 212/123

3. -256/29

4. -27/79

PPPPlease help meeee!

Answers

Answer:

A

Step-by-step explanation:

Since the theta is in second quadrant, x will be negative and y positive. cos(theta)=-2/sqrt(29)=B/H, the base is 2 and H=sqrt(29). The perpendicular is 5.

The answer to your question would be choice a (-2,-5)

Which congruence theorem can be used to prove
ABR = RCA?

Answers

Answer: The HL Theorem can be used to prove ABR ≅ RCA because both triangles share the same hypotenuse and a leg. The HL theorem states that If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

sin 6x +4sin²3x= 0
sin x + sin 5x = sin 2x . sin 3x
tan 4x. tan 2x = -1
sin 5x + cos 5x - sin x + cos x =√2 cos 3x
cos 5x . cos x + sin³2x = cos 3x . cos x

Answers

Answer:

no entendi muy bien sorry  

Solve the equation. The letters a, b, and c are constants and a≠0
ax-76 = 9c

i’m confused bc it doesn’t tell me what i’m solving for. please help! thank you!

Answers

Answer:

Step-by-step explanation:

Probably it's asking for x so you have to find x in term of a and c

ax = 9c+76

x = 9c+76/a

Answer:

Step-by-step explanation:

I can see your problem. That's one of those questions where the directions are part of the problem. I think you are supposed to solve for x.

ax-76 = 9c                Add 76 to both sides

ax = 9x + 76              Divide by a

x = (9x + 76)/a

simple way to differentiate between speed and average speed.​

Answers

dividing the number of speeds

Answer:

speed

1)the distance travelled by a body per unit time is known as speed.

2) speed is speed, or something how fast is going,

3) while velocity is speed how fast something is going in a specific direction.

average speed

1) average speed is the speed added up and divided by number of speed .

2)the average of all the instantaneous speed in a give time interval.

3) the average speed as the duration of the time interval approaches zero.

Factorise each expression 8 - 2v²

Answers

Answer:

hello thereee

8 - 2v^2 we are suppose to facotrize...

2 ( 4 - v^2 )

2 ( 2^2 - v^2 )

apply identity a^2 - b^2

2 ( 2 + v ) ( 2- v )

done dana done.....

Two neighbors in a rural area want to know the dsitance between their homes in miles what should the mneighbors us as a conversion factor to convert this distance to miles? 4,224 feet

Answers

They should use the conversion factor

1 mile = 5280 feet

To go from feet to miles, you divide by 5280

So,

4224 ft = 4224/5280 = 0.8 miles

The distance between their homes is exactly 0.8 miles

pls help

The equation of a line parallel to 6x – 2y + 10 = 0 and passes through the point
(-2,7).

Answers

Answer:

y=3x-1

Step-by-step explanation:

First we need to rewrite 6x-2y+10 =0 into the standard slope form of y=mx+b when done you get y=3x+5Next we need an equation that passes through the point (-2,7). Now remember equations that are parallel have the same slope so the equation should look like y=3xIn standard slope form the b is the y-intercept. We now need to plug in the x ordered pair value into the standard slope equation. y=3(-2)+5 to get y=-1 meaning -1 is the y-intercept Therefore the answer is y=3x-1

Answer:

Y = 3X + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

6x - 2y + 10 = 0 ( subtract 6x + 10 from both sides )

- 2y = - 6x - 10 ( divide terms by - 2 )

y = 3x + 5 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , so

y = 3x + c ← is the partial equation

To find c substitute (- 2, 7 ) into the partial equation

7 = - 6 + c ⇒ c = 7 + 6 = 13

y = 3x + 13 ← equation of line in slope- intercept form

An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 3 1/2" by 5 1/4" on the drawing, how large is the bedroom?
A. 20 ft by 30 ft
B. 7ft by 10.5 ft
C. 14 ft by 21 ft
D. 10 ft by 15 ft

Answers

Answer:

C. 14 ft by 21 ft

Step-by-step explanation:

First you want to set up an equation:

3 1/2" over x' = 1/4" over 1'

7/2 = 1/4x

14' = x

Next, do the same thing for the other side of the drawing (5 1/4")

5 1/4" over y' = 1/4" over 1'

21/4 = 1/4y

21' = y

So the answer is 14 ft by 21 ft (C)

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