what are the first four terms in the sequence Tn=4n+9?

Answers

Answer 1

Answer: If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n - 1)d]/2


Related Questions

Solve the equation for y. 5x+2Y=9

Answers

Answer:

y = 9/2 - 5/2(x)

Step-by-step explanation:

I think this is right

here's my question. ​

Answers

Answer:

use reciprocal

Step-by-step explanation:

Hello how to solve this can anyone help

Answers

Step-by-step explanation:

f(1)= 1²+4×1=5

f(2)=2²+4×2= 12

f(3)=3²+4×3=21

domain

1,2,3

range

5,12,21

Flying against the wind, a jet travels 3780 miles in 6 hours. Flying with the wind, the same jet travels 5950miles in 7 hours. What is the rate of the jet in still air and what is the rate of the wind? 1111 Rate of the jet in still air: ​

Answers

The rate of the jet in still air is 740 mph and the rate of the wind is 110 mph.

The given parameters;

distance traveled against the wind, d₁ = 3780 milestime of motion, t₁ = 6 hoursdistance traveled with wind, d₂ = 5950 milestime of motion, t₂ = 7 hours

Let the rate of the jet in still air = R₁

Let the rate of the wind = R₂

The rate of the jet against the wind:

[tex]R_1 - R_2 = \frac{3780}{6} \\\\R_1 - R_2 = 630[/tex]

The rate of the jet with the wind:

[tex]R_1 + R_2 = \frac{5950}{7} \\\\R_1 + R_2 = 850\\\\[/tex]

The rate of the jet in still air is calculated as follows;

[tex]R_1 = \frac{630 + 850}{2} \\\\R_1 = 740 \ mph[/tex]

The rate of the wind is calculated as follows;

[tex]R_1 - R_2 = 630\\\\R_2 = R_1 - 630\\\\R_2 = 740 - 630 \\\\R_2 = 110 \ mph[/tex]

Thus, the rate of the jet in still air is 740 mph and the rate of the wind is 110 mph.

Learn more about rate here:https://brainly.com/question/11664428

Solve 5(x+3) = -2(x-7)
x=-22/7
x=-1/7
x=-8/3
x=1/7 choose one

Answers

Answer:

x=-1/7

Step-by-step explanation:

5x+15=-2x+14

5x+2x=14-15

7x=-1

x=-1/7

Step-by-step explanation:

5(x+3) = -2(x-7)

5x + 15 = -2x + 14

7x = -1

x = -1/7


Find the slope of the line passing through the points (-4, 7) and (-2, 2)

Answers

Answer:

-5/2

Step-by-step explanation: 2 - 7 = -5 so that is your numerator and -2+ 4=2 is your denomonitaor.

Which of the following could be a helpful first step in solving this equation for q?

p2q+2q=11
Question 5 options:

Combine p2q+2q

Divide the whole equation by 11.


Divide the first term by p2

Factor a q out of p2q+2q

Answers

Answer:

D: Factor a q out of p^2 q+ 2q

Step-by-step explanation:

I took the test. Hope it was helpful! :)

The first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the equation is,

p²q+2q=11

Take q common from the L.H.S as

q(p²+2)=11

The value of q is obtained by rearranging the equation as,

q=11/(p²+2)

The value of q obtained after solving the equation p²q+2q=11 will be q=11/(p²+2).

Thus, the first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.

Learn more about the equation here,

https://brainly.com/question/10413253

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What temperature is halfway between:

6 and -2

Answers

2 is the correct answer

Answer:

The answer is 2

Step-by-step explanation:

-2, -1, 0, 1, 2, 3, 4, 5, 6

If you remove the first 4 and the last 4 numbers you are left with 2 which is also the median / middle value. Therefore, the temperature is 2.

What is the value of point P?

Answers

Answer:

-8

Step-by-step explanation:

Because it moved 2 to the right.

Answer:

-8

Hope this helps :)

Using the information about Carrie's business model, drag each attribute of Carrie's business to its
description
Tiles
type of industry
purpose of the business
target customers
how the business can
Increase profits
Pairs
sell beautiful, low-priced furniture
lower operational costs
retail

Answers

Answer:

sell beautiful, low-priced furniture -> Purpose of bussiness

retail -> type of industry

lower operational costs -> higher profits

target customers -> again profits? can't see the final answer on the picture

Step-by-step explanation:

Hope this helps!

The tile "type of industry" matches with "retail", "purpose of the business" matches with" sell beautiful, low priced furniture", "how the business can increase profits" matches with "lower operational costs".

What is operational cost?

Operational cost is the amount of expenditure done by the company or a firm on its day to day operations or in its manufacturing related activities.

How to identify statements?

First tile says "type of industry". In the options there are two options with which it can match one is "retail" and other one is "sell beautiful,low priced furniture".But the second one is related to cheap pricing which may may be just a segment in an industry, that's why the most important option which matches with it is "retail". Second tile matches with "sell beautiful , low priced furniture" because there is a possibility that the business wants to just working for poor or middle class people. For third tile there is not any option present. Fourth tile matches with "lower operatonal costs" because when the cost of the company reduces it automatically increases the profits of the company.

Learn more about operational costs at https://brainly.com/question/14697297

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help ASAP DUE in 10 minutes do not spam or you will get reported A farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape. He decides to add 5.7 yards of fencing to the width of the pen, but the length will remain 9.5 yards. The new area will be 77.9 square yards.​

Answers

Answer:

The one you have selected is correct. 9.5(w+5.7)=77.9

Step-by-step explanation:

Area is length x width, but the length is the same. So, the 9.5 is not in the parentheses. The existing width (w) is having 5.7 yards added on before being multiplied for area calculations. Because of the order of operations, (w+5.7) must be in parentheses so it is done before multiplication.

Answer:

9.5(w+5.7)=77.9

Step-by-step explanation:

took the test

If you got $4 552 from your father and $1 478 from your mother and you spend $625. How much money do you now have to the nearest thousand?​

Answers

Answer:

simply add what you got from your mother and father then subtract from what you spent then the remaining is the answer

ANSWER: $5000

You get all together $6,030 from your parents and after you spend $625 you will have $5,405 left and be cause your rounding to the nearest thousand you check if the hundred in your number is above 5 because if it is below 5 you round down making it $5000 but if it were above 5 you would round up making it $6000 but because your amounts hundred is below 5, you will round down making your answer $5000

The radius of a circle is 5 ft. Find its circumference in terms of pi

Answers

Answer:

10 pi

Step-by-step explanation:

circumference of the circle equals = 2π R = 2*pi* radius

so circumference = 2*5*π = 10π = 10 pi (in terms of pi)

Answer:

The formula for the circumference of a circle is C = 2πr, where "C" is the circumference, "π" is pi (approximately equal to 3.14), and "r" is the radius.

Given that the radius of the circle is 5 inches, we can substitute this value into the formula to find the circumference:

C = 2πr

C = 2π(5)

C = 10π

Therefore, the circumference of the circle is 10π inches.

Plz help guys!!!!!!!!

Answers

Answer:

3

2

Step-by-step explanation:

what is a degree 3 polynomial with integer coefficients with zeros 3, -4, 5

Answers

4 would it or maybe 12

A plane is pointed S 15° E, with indicated speed 500 mph. It flies through a wind
blowing N 20° E at 55 mph. Find the resultant speed and direction of the plane.

Answers

Answer:

N 2.4 ∘ W  or Bearing  357.6 ∘

672.2x  km/hr

Step-by-step explanation:

Sử dụng phép tính mệnh đề (các luật logic) để chứng minh các biểu thức sau là hằng
đúng:
[p -> (q ∨ r)] ->[(p -> q) ∨ (p ->r)]

Answers

Answer: “P hay Q” là một mệnh đề được

Step-by-step explanation: Các quy tắc tương đương logic: ... Chứng minh biểu thức mệnh đề (¬((r ∨ q) ∧ q) ∨. ¬p)∧ ((¬p

Lin’s father is paying for a $35 meal. He has a 15%-off coupon for the meal. After the discount, a 4% sales tax is applied.

What is the discount amount? $
What is the subtotal? $
What is the amount of tax added? $
What does Lin’s father pay for the meal? $


also there are suppose to be 4 answers so if you do know it please tell me 4 answers

Answers

Answer:

discount: $5.25

subtotal: $29.75

added tax: $1.19

total: $30.94

Step-by-step explanation:

15% of 35 = $5.25

$35 - $5.25 = $29.75

$29.75 + 4% = $30.94  Sales tax = $1.19

Answer:

Step-by-step explanation:

100% - 15% = 85% = 0.85

$35 × 0.85 = $29.75 (Subtotal)

100% + 4% = 104% = 1.04

$29.75 × 1.04 = $30.94

~~~~~~~~~~~~~~~

What is the discount amount?

$35 × 0.15 = $5.25

What is the subtotal? $29.75

What is the amount of tax added?

$29.75 × 0.04 = $1.19

What does Lin’s father pay for the meal? $30.94

Which set of ordered pairs lies along the same vertical line?

Answers

Answer:

All ordered pairs with the same x value

Step-by-step explanation:

A vertical line can be represented by the equation x=k for some value k. So any pair with x value equal to k satisfies the equation and is thus in the set

What is 4a I will give brainiest to whoever’s is first

Answers

4A is ( 4 times A )which will ultimately turn out to A being a number of some sort or cancelled out depending on the problem

h
A. 2x – 1 + 3x = 0
B.
5.2 -1=0
1) How can we get Equation B from Equation A?
Choose 1 answer:
Add/subtract the same quantity to/from both sides
B
Add/subtract a quantity to/from only one side
Rewrite one side (or both) by combining like terms
Rewrite one side (or both) using the distributive property

Answers

Answer:

A

Step-by-step explanation: :}

A grain trader buys the following amounts from three suppliers: 3,200 pounds,7,200 ponds and 600 pounds. What is the total weight of hid purchase?

Answers

Answer: just simply add them and you get 11000

Anya brought 30 tocos for 36 dollars what it the unit rate

Answers

Answer:66

Step-by-step explanation:

The correct answer is $1.20
You would divide the amount of the item (30) by the price (36) (36/30) and get 1.20

Which equation shows y=3x−15 in standard form?

5x−15y=−1

5x−15y=1

15x+5y=−1

15x−5y=1

Answers

Answer:

c  5x -15y =1

5x-15y=1

-5x -15y= 1 -5x     change the signs on both sides of the equation

    15y = -1 +5x      divide both sides by 15

        y = -1/15 + 1/3 x    Reorder the terms

        y = 3x-15

Step-by-step explanation:

Hope this helps:)

An isolates right triangle has a hypotenuse of 6. Find the length of the leg. Round to the nearest tenth.

Answers

Hypotenuse of the ∆ = 6Given that it is an isosceles right triangle.So, its opposite sides will be equal.Therefore, the height of the ∆ = the length of the leg of the ∆Let the length of the leg be x.In the right triangle,[tex] {x}^{2} + {x}^{2} = {6}^{2} \: \: \: (by \: \: pythagoras \: \: \: theorem) \\ = > {2x}^{2} = 36 \\ = > {x}^{2} = \frac{36}{2} \\ = > {x}^{2} = 18 \\ = > x = \sqrt{18} \\ = > x = \sqrt{2 \times 3 \times 3} \\ = > x = 3 \sqrt{2 } \\ = > x = 4 .2[/tex]

Answer:

The length of the leg is 4.2 units.

Hope you could get an idea from it.

Doubt clarification - use comment section.

Question 2 of 33
Which of the following is equivalent to the expression below when x20?
VP+ √25x² – 5xfx
O A. 11x/
В. xx
C. 1268- 5x
D. 67-5xxx
SUBMIT

Answers

It’s D I would explain but I’m tired so just trust me

which of the following represents a function?
x -10 -9 0 5
y 19 17 25 19

Answers

Answer:

the correct function is x -10 -9 0 5

There are 16 girls and 14 boys in Mr. Chay's class. This ratio holds true for the entire school. If there are 1500 students, how many girls attend the school?

Answers

Answer:

Step-by-step explanation:

16/(16 + 14) = XX/1500

1500(16) = 30XX

XX = 800 girls

answer:TThe ratio of boys to girls is 12 to 16, 12:16 or 12/16 (all different ways this can be written). The fraction form 12/16 can be reduced by dividing

7. Find the length of AB
please answer will mark brainelist :)

Answers

Answer:

A) 17 m  B) 20.8 m

Step-by-step explanation:

I cannot mark on the image but you can find the length of A to the bottom of the shape by subtracting 26-11

26-11 = 15

I will label the triangle as ABC (AB the length we trying to find, BC is 15 *it is angle B to the intercept of A and the bottom of the shape, AC is 8 because it is parallel to the given length 8)

AB is the hypotenuse

We can use the pythagorean theorem  to find length AB (a^2 + b^2 = c^2)

a and b is the legs which is 8 and 15

8^2 + 15^2 = AB^2

64 + 225 = AB^2

289 = AB^2

√289 = AB (to undo a square, you use square roots)

√289 = 17

AB = 17 m

Now we need to find the hypotenuse of AC

the same thing, we did for problem A, use the pythagorean theorem

17^2 + 12^2 = AC^2

289 + 144 = AC^2

433 = AC^2

√433 = AC

√433 is about 20.808...

round to the tenth as stated in the directions

AC = 20.8 m

A car rents for $40 per day plus 21¢ per mile. You are on a daily budget of $82. What mileage will allow you to stay within your budget?

Answers

Answer:

less than or equal to 200 miles

Step-by-step explanation:

let 'm' = mileage

0.21m + 40 ≤ 82

subtract 40 from each side to get:

0.21m ≤ 42

divide each side by 0.21 to get:

m ≤ 200

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