Mathematics High School

write an equation for the n th term of the arithmetic sequence -4, 1, 6, 11 ... Then find a(50)
an equation is: a(n) = _n-_
a(50)= _

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 4 and d = a₂ - a₁ = 1 - (- 4) = 1 + 4 = 5 , thus

[tex]a_{n}[/tex] = - 4 + 5(n - 1) = - 4 + 5n - 5 = 5n - 9

Then

a(50) = 5(50) - 9 = 250 - 9 = 241

Related Questions

Which of the following tables represents a function?
​

Answers

Answer:

The answer is A x can not have two of the same numbers

Step-by-step explanation:

Graph the linear function d(x)=−1/2x−3.

Answers

Answer:

Step-by-step explanation:

The required graph of the given function d(x)=−1/2x−3 has been shown.

Given that, to plot the graph of the linear function,  d(x)=−1/2x−3.

What is the graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The graph of the liner function d(x)=−1/2x−3 can be plot by putting the values of the x in the equation which gives the value of y by calculating such an ordered pair we can plot the curve of the liner equation on the graph. i.e.
At x = 0
d(0) = -1/2 * (0) - 3
d(0) = -3
So, the ordered pair will be (0, -3).
Now, put x = 2
d(2) = -1/2 * 2 - 3
d(2) = -1 - 3
d(2) = - 4
So the ordered pair will be (2, -4)
joining these two points will show the graph of the given equation d(x)=−1/2x−3.


Thus, the required graph of the given function d(x)=−1/2x−3 has been shown.

Learn more about graphs here:

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As Evin is driving her car, she notices that after 1 hour her gas tank has 7.25 gallons left and after 4 hours of driving, it has 3.5 gallons of gas left in it. What is the rate at which her car is using gas.

Answers

Answer:

7.25 per hour

Step-by-step explanation:

A company offers two monthly plans. Plan A costs $ 25 plus an additional $0.10 for each minute of calls. Plan B costs $18 plus an additional $0.15 for each minute of calls.

Answers

Answer:

The indifference point is 140 minutes.

Step-by-step explanation:

Giving the following information:

Plan A costs $ 25 plus an additional $0.10 for each minute of calls.

Plan B costs $18 plus an additional $0.15 for each minute of calls.

First, we need to establish the total cost formula for each plan:

Plan A= 25 + 0.1*x

Plan B= 18 + 0.15*x

x= number of minutes

Now, to calculate the indifference point, we equal both formulas and isolate x:

25 + 0.1x = 18 + 0.15x

7 = 0.05x

140=x

The indifference point is 140 minutes.

Prove:

Plan A= 25 + 0.1*140= $39

Plan B= 18 + 0.15*140= $39

Paras starts math class at 10:30 AM. She finishes her math class at 11:15 AM
How long is paras in the math class

Answers

Answer:

1 hr 15 mins

Step-by-step explanation:

Answer

45

Step-by-step explanation:

30+15=45

A builder makes staircases where each step is 28 cm long and rises 18 cm so people don't trip. Every staircase has a stringer - a diagonal support connecting all of the steps.​

Answers

Depends on what the question is asking for, I’m assuming the question is asking for the length of one stringer and assuming that the interior angle is 90 degrees. If so the length of the stringer is as shown in the following image :)

“What is the percent of increase from 64 to 80?”


Please help me I’m almost done!

Answers

Answer: 25%

The percentage change between 64 and 80 is a 25% increase.

Step-by-step explanation:

Answer:

Percent of increase - 80 - 64 = 16

% increase = Increase ÷ Original Number × 100.

= 16 ÷ 64 × 100

= 25 ℅

factor 2x² + 9x + 4
blah blah blah random charactors

Answers

Answer:

revers card

Step-by-step explanation:

Answer:

( 2 x  +  1 )  ( x  +  4 )

Step-by-step explanation:

Can somebody tell me this please .. ASAP ??

Answers

Answer:

y = -3/2x - 4.5

Step-by-step explanation:

Answer:

y= -2/3x - 4.5

Step-by-step explanation:

-2.3 is the slope. its negative since the line falls to the right

-4.5 is the y-intercept

Write the number 1.7 x 10^-5 in standard form

Answers

Answer:

0.000017x

I hope this is correct

FIRST ONE GETS BRAINLEYST FREE IF CORRECT!!


Which of these statements uses transitional words to connect ideas?
A. Many states have more than one national park. Florida has the Everglades and the Dry Tortugas.
B. Arizona has a very famous national park. It is called the Grand Canyon. It is famous and draws visitors from all over the world.
C. The beautiful, lush Hawaiian islands are the home of two of the world’s most active volcanoes.
D. South Dakota's Badlands are home to a lot of wildlife, including bison, bighorn sheep, and swift foxes.

Answers

Answer:

D

Step-by-step explanation:

I had this on my quiz and said it was right. Hope this helps!

Ella wants to buy a new uniform for work that costs $32. Her employer promises to pay 20% of the cost, while Ella must pay the rest. How much money will her employer pay?

Answers

i speak no english 30% eplhgfddtghwhehejwjejejjwjwjwjwjw

Which one is correct? Please hurry

Answers

45 is the answerrrrrrrrrrrrrr!!!!

A new backpack costs $45.00 plus 7.4% for sales tax. Find the amount of tax you would have to pat for the backpack.

Answers

Answer:

$48.33

Step-by-step explanation:

1. Find the amount of the sales tax by multiplying the tax percentage by the sales price.

$45 × 7.4% = $3.33

2. Add the amount of the sales tax back to the sales price.

$45.00+$3.33 = $48.33

5) through: (2, 4) and (4.-5)​

Answers

I think this is what you are asking for.

Please help and thank you

Answers

the answer is D
inverse: f^-1(x)= (x+4)^2
domain: x is greater than or equal to 0

Chris's age is 17 more than one-fourth of Brian's age. How old is Chris if Brian is 27?

Answers

Answer:

23.75

Step-by-step explanation:

Given that:

Brian's age = 27

Age of Chris is 17 more than one - fourth of Brian's age.

To find:

Age of Chris = ?

Solution:

Let age of Chris = [tex]x[/tex]

One - fourth of Brian's age =  [tex]\frac{27}{4}[/tex]

17 more than One - fourth of Brian's age = [tex]\frac{27}{4}[/tex] + 17

Therefore, we can write the equation as per question statement:

[tex]x = \frac{27}{4} + 17\\\Rightarrow x = 6.75+17\\\Rightarrow \bold{x = 23.75}[/tex]

Therefore, Chris is 23.75 years old if Brian is 27.

factor 147a^2b-675b^3

Answers

Answer:Factor the polynomial

3(a−4b)2

Please help The sum of two numbers is 36 and the difference is 6. What are the numbers?

Answers

Answer:

15 and 21

Step-by-step explanation:

Answer:

15 and 21

Step-by-step explanation:

PLEASE I NEED HELP!!!!!!!! BRAINLIEST AND POINTS!!!!!

Answers

Step-by-step explanation:

[tex] {a }^{2} + {b }^{2} \: = {c }^{2} \\ {10}^{2} + {26}^{2} = {c}^{2} \\ 100 \: + \: 676 \: = \: {c}^{2} \\ 776 \: = {c}^{2} \\ c \: = 27.9[/tex]

a recipe calls for 3 parts water to 1 part milk. how much milk will you need if you use 12 mL of water?

Answers

Answer:

3mL

Step-by-step explanation:

Can someone help me?

Answers

Answer:

sorry bruv wish you the best i will pray for you

Step-by-step explanation:

Divide
x3 + 3x2 - 2x + 2 by x + 3

Answers

Answer:

[tex]x^{2} -2+\frac{8}{x+3}[/tex]

Step-by-step explanation:

i need help asapppppppppp​

Answers

Answer:

58

Step-by-step explanation:

The sum of two numbers is 11 and their difference is 5

Answers

Answer:

3 and 8

Step-by-step explanation:

3 + 8 = 11

8 - 3 = 5

HELP AGAINNNNNNNNNPLSPLS

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Gabe earns 40.50 for working at coffee shop for3 hours. How much does he make in one hour?

Answers

Answer:

13.50 is the answer

Step-by-step explanation:

40.50/3=13.50

find the values
using
expansion formula
1) 1.5×2.5​

Answers

Answer:

[tex]3.75[/tex]

Step-by-step explanation:

[tex]1.5 \times2. 5 \\ = 3.75[/tex]

Please can I have the brainliest?

Have a nice day!

What is the probability that when you roll a standard 6-sided number cube, you roll a number more than 6?
A. Certain
B. Impossible
C. Likely
D. Unlikely

Answers

B.) Impossible you can’t roll a higher number than what is on the die and if it’s 6 sided then you can’t get more than 6

need some help (Geo)​

Answers

Answer:

A 60

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

there are 2 ways to solve this...

1st, y=60 by the vertical angles theorem

2nd, x=120 by the linear pair postulate (x + 60 = 180)

next, y=60 because y + 120 = 180

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