In a Sequence the first term is 8 and the common difference is -5 the fifth term in the sequence is

Answers

Answer 1

Answer:

[tex]a_5=-12[/tex]

Step-by-step explanation:

Given that,

The first term of the sequence, a = 8

Common difference, d = -5

We need to find the fifth term of the sequence.

The nth term of the sequence is given by :

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

Put n = 5, a = 8 and d = -5 in the above formula

[tex]a_5=8+(5-1)(-5)\\\\=8+4(-5)\\\\=8-20\\\\=-12[/tex]

So, the fifth term of the sequence is -12.


Related Questions

2. y is inversely proportional to cube of x.
When x = 2, y = 4.
Find y when x = 4
(3 Points)

Answers

Answer:

y = 0.5 at x = 4

Step-by-step explanation:

According to question,

y is inversely proportional to cube of x i.e.

[tex]y\propto \dfrac{1}{x^3}\\\\y=\dfrac{k}{x^3}[/tex]

or

[tex]k=yx^3[/tex]

Put x = 2 and y = 4 in above expression to find k.

[tex]k=4\times (2)^3\\\\=32[/tex]

Now put x = 4 to given equation to find y.

[tex]y=\dfrac{32}{4^3}[/tex]

y = 0.5 or 1/2

So, the value of y is 0.5 when x = 4.

What is the solution to the system of equations? y = 12x + 2 2y = x + 4

Answers

Answer:

(x,y)=(-28/11,16/11)

Step-by-step explanation:

hope this helps!

Answer:

x=0, y=2. (0, 2).

Step-by-step explanation:

y=12x+2

2y=x+4

------------

2(12x+2)=x+4

24x+4=x+4

24x-x=4-4

23x=0

x=0/23

x=0

y=12(0)+2

y=0+2

y=2

ASAP BRAINLIEST
1- One number is 10 less than twice another. If their difference is 31, what is the larger number?


87
72
75

2-


Given the system of equations, what is the solution?

2x + y = 7
2x - 3y = -1


{( , 2)}
{(2, )}
{(1, )}

3-


Which of the following systems is equivalent to the given system?

x - y = 1
x + y = -1


2x - 3y = 6 and 4x + y = 4
4x - 3y = 6 and 4x - y = -4
4x + 3y = -6 and 4x - y = 4

4- Given the system of equations, match the following items.

2x + y = -1
x - 5y = 4

5-
If the second equation is multiplied by 5 and then the equations are added, the result is _____.

x + 5y = 3
2x - y = -2


9x = 13
11x = -7
9x = -7

Answers

Answer:

See answers below with explanations

Step-by-step explanation:

Problem 1:

One number is 10 less than twice another.

This translates to n=2m-10

Their difference is 31

This translates to n-m=31

n-m=31

(2m-10)-m=31

m-10=31

m=41

n-41=31

n=72

Therefore the larger number is (B) 72

Problem 2:

Use elimination:

 2x + y = 7

- 2x -3y = -1

       4y = 8

         y = 2

2x+2=7

2x=5

x=2.5

Therefore the solution is (A) {(2.5,2)}

Problem 3:

Use elimination:

  x - y = 1

-  x + y = -1

      -2y = 2

Check if each answer eliminates to -2y=2:

2x - 3y = 6

4x +  y = 4

-2x - 4y = 2 NO

4x - 3y = 6

4x -   y = -4

    -2y = 10 NO

4x + 3y = -6

4x -   y =  4

      4y = -10 NO

Neither answer is correct

Problem 4:

No visible items to match

Problem 5:

2(2x - y = -2)

4x - 2y = -4

x + 5y = 3

4x - 2y = -4

5x + 3y = -1

None of the answer choices are correct

Please help this is an emergency

Han’s cell phone plan costs $200 to start. Then there is a $50 charge each
month. If you are to graph the relationship, what will be the y - intercept
and the slope?

Answers

It’s the second one

ASAP 20 points - Which expression best estimates 6 and 3/4 divided by 1 and 2/3?


A. 7 divided by 2

B. 6 divided by 1

C. 8 divided by 3

D. 3 divided by 2

Answers

Answer:

A. 7 divided by 2

Step-by-step explanation:

The computation is shown below;

[tex]= 6\frac{3}{4} \div 1 \frac{2}{3} \\\\= \frac{27}{4} \div \frac{5}{3}\\\\= \frac{27}{4} \times \frac{3}{5}\\\\= \frac{27\times 3}{4\times 5} \\\\= \frac{81}{20} \\\\= 4 \frac{1}{20}[/tex]

It could be 4.05

So according to the given options, the option 1 is chosen at is closed to 4.05

Hence, the option A is correct

help please:))) i just wanna pass:/

Answers

Answer:

1,3,4 I believe is correct

Is (-3,0)a solution to the equation 2x+6y=-6?

Answers

Answer:

Yes

Step-by-step explanation:

 x , y

(-3 , 0)

plug in the numbers

2(-3) + 6(0) = -6    

-6 = -6

two times what wade's age was seven years ago

Answers

Answer:

how old is he now...?

what is 7 divided by 44​

Answers

Answer:

0.1590909999999001

Step-by-step explanation:

5(*$85$84#58$58$85$&(xgkzgkzgkz&)$"(*85dtkdtistozogzfizfjzfjzfjsotyd

Describe the transformation from the parent
function: f(x) = -1/4(x - 3)^2 + 2

Answers

vertical reflection over the x-axis, shrink of 1/3, right 3, up 2

HELP HELP ME PLEASE ANYONE I BEG HELP

Answers

Step-by-step explanation:

probability of getting 20 republican, 13 democrats and 6 in independence? help me please I'm preparing by in exam

Answer:

c

Step-by-step explanation:

C is the best answer because she wants to sell for less and not for more than $4.

HOPE THIS HELPED

The shadow of a vertical tower is 52.5 meters long when the angle of elevation of the sun is x degrees. The height of the tower is 41 meters. Find the angle of elevation rounded to the nearest degree.

Answers

Answer:

Angle of Elevation = 38°

Step-by-step explanation:

Angle of Elevation formula is given as

tan x = Opposite /Adjacent

Where

x = Angle of Elevation

Opposite = Height of the tower = 41 meters

Adjacent = Shadow of the vertical tower = 52.5 meters

Hence:

tan x = 41 m/52.5m

x = arc tan (41 m/52.5m)

x = 37.988141726°

Approximately to the nearest degree x = 38°

Please help with my math homework

Answers

Answer:

81+49=c^2

c=11.74

this is the right answer

Answer:

root 130 is the may the correct if it is wrong sorry

what is the volume of a cube that has a height of 10 inches? 10 Inches 100 cubic inches » 40 cubic inches 600 cubic inches 1,000 cubic inches Done​

Answers

Answer:

40 cubic

Step-by-step explanation:

whats the average rate of change for 1

Answers

Answer:4

Step-by-step explanation:

To the nearest hundredth, which is the value of x in the solution of the following system? 3.5x - 2.8 = -4.67x + 12.5 Select one: a. -3.75 b. -1.87 c. 1.87 d. 3.75

Answers

Answer:

C. 1.87

Step-by-step explanation:

3.5x - 2.8 = -4.67x + 12.5

3.5x + 4.67x = 12.5 + 2.5

8.17x = 15.3

x = 15.3 ÷ 8.17

x = 1.87270501836

So, the closest choice to 1.87270501836 is 1.87, so the answer is C.

Hence, the answer would be C. 1.87. I am 100% sure on this, for I am a pro.

Please mark as Brainliest!!!

I need help with only 1-4. I'll give brainliest to the most helpful answer !!!

Answers

Answer:

1. the second picture

2. the third picture

3. the third picture

4.the first picture

Convert each fraction to a decimal. Show your work.
#1. 1/4=
#2. 2/5=
#3. 11/25=
#4. 79/100=

Answers

Answer:

1. 0.25

2. 0.4

3. 0.44

4. 0.79

Step-by-step explanation:

I’m so sorry short on time can’t explain right now


A car travels 120 miles in 2.5 hours (with a constant speed). What is the car's
speed in miles per hour?

Answers

Answer:

48

Step-by-step explanation:

120 divided by 2.5 = 40

Answer:

48 miles per hour

Step-by-step explanation:

to find the average speed, the equation is speed = distance ÷ time

120 ÷ 2.5 = 48 miles per hour

choose the symbol that correctly compares these mixed numbers .

Answers

Answer:

B. <

Step-by-step explanation:

The whole parts are equal since they are both 9.

We just need to compare the fractions 3/8 and 5/7.

The LCD is 8 * 7 = 56

3/8 = 21/56

5/7 = 40/56

3/8 < 5/7

9 3/8 < 9 5/7

In a survey, patients are asked how long they sat in their doctor's waiting area. The results for two doctors are shown below.
Doctor #1 (waiting time in minutes): 5, 10, 10, 15, 20, 20, 20, 100
Doctor #2 (waiting time in minutes): 10, 10, 10, 20, 20, 20, 25, 25
Based on the results, what is the best measure of center to compare the data, and how do the measures compare?

The median is the best measure. The median waiting time for Doctor #1 is 7.5 minutes longer than for Doctor #2.

The mean is the best measure. The mean waiting time for Doctor #2 is 2.5 minutes longer than for Doctor #1.

The mean is the best measure. The mean waiting time for Doctor #1 is 7.5 minutes longer than for Doctor #2.

The median is the best measure. The median waiting time for Doctor #2 is 2.5 minutes longer than for Doctor #1.

Answers

Answer: The mean is the best measure. The mean waiting time for doctor #2 is 2.5 minutes longer than for doctor #1

Step-by-step explanation:

Answer: I don't think that answer is correct. The mean for 1 is 25 and for 2 is 17.5
The median for 1 is 17.5 and for 2 is 20

Step-by-step explanation:

find the values of x and y

Answers

Answer:

x=30

Step-by-step explanation:

dive 3x both sides then u should get 10

Which is a value for a that makes the following true? a/-3 - 1 > 4

Answers

Answer:

a= -18

Step-by-step explanation:

-18/-3 = 6

6-1=5

5>4

I just used guess and check to find -18 :)

Find the slope of the line that passes through (1, 15) (10, 8)

Answers

Answer:

m=-7/9

Step-by-step explanation:

The answer is   -7/9 or -7 over 9

Hector's goal is to run at least 135 miles. He is going to run at least 3 miles per day.

Answers

Answer:

what's the question here if ur asking how long It'll take it's 45

Write the slope intercept form of the equation of each line given the slope Y- intercept. Slope =9, y- intercept = -5.
Please help me

Answers

Answer:

y = 9x - 5

Step-by-step explanation:

Slope Intercept Form:  y = mx + b

( m = slope and b = y-intercept form )

Is it addition
subtraction
multiplication
division ​

Answers

Step 2 subtract
Step 4 multiple

Which number is irrational

Answers

Answer:

[tex]\sqrt{2}[/tex]

The answer is [tex]\sqrt{2}[/tex] because it equals an irrational number. ( [tex]1.41421356237[/tex] )

Hope this helps! <3

Somebody help me out
8=-5k+k​

Answers

Answer:

k = -2

Step-by-step explanation:

8 = -4k

8 / -4 = k

k = -2

Please mark as Brainliest!!!

Can someone plz help .quick!!! Plz I beg u

Answers

Answer:

its number 2

Step-by-step explanation:

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