Find the 75th term of the arithmetic sequence -21, -10, 1

Answers

Answer 1

Answer:

793

Step-by-step explanation:

Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.

So, -10--21=11 and also 1--10=11

so common difference is 11

now we will use the formula Asubn=Asub1+d(n-1)

D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1

Anyways, Asub75=-21+11(75-1)=793


Related Questions

Last year the French club raised $300 at their fall fundraiser. This year they raised $450. What is the percent increase in the amount raised?

(IN YOUR OWN WORD'S)

Answers

Answer:

50%

Step-by-step explanation:

Actual increase = $150

% increase = (actual change ÷ start value) × 100

                   = (150 ÷ 300) × 100

                    = 0.5 × 100

                    = 50%

Your 12 turkeys drink 7.6 L of water a day. How
much water does one turkey drink per day?

Answers

find the unit rate by setting up a proportion

round up 28.046 to the nearest hundredth​

Answers

Answer:

28.05

Step-by-step explanation:

Correct answer is 28.05

HELP ME RN PLEASE!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

got ub the naswers is 5x+y==6

Step-by-step explanation:

Use substitution
15x - 5(3x - 7) = 14
15x - 15x - 7 = 14
-7 = 14, cannot be

No solution

What is the base of 5^4?

Answers

Answer:

5 is the base

4 is the exponent

Which of the ordered pairs is a solution to the system of inequalities?

y ≥ 3

y > x

(-3, 2)
(2, 3)
(-4, 3)
(0, 0)

Answers

I think it’s the 2 and 3 one

Sorry if it’s wrong

Medicine is used by the body at a rate of 10% per hour.
Is this situation discrete or continuous?

A. discrete
B. continuous

Answers

Answer:

your answer  is B

Step-by-step explanation: if its at a rate of 10% an hour that is a continuous rate

Is that the correct answer for it please help me. I want to past my ecam

Answers

Answer:

No answer is be 28%

5+9+7+4=25

7/25 + .28 =28%

Step-by-step explanation:

Please help. Will give brainliest.

Answers

Answer:

$22100

Step-by-step explanation:

9/10 = 0.9

5/8 = 0.625

0.9 + 0.625 = 1.525

3 + 1 = 4

4 + 1.525 = 5.525

5.5 = $22000

0.025 = $100

$22000 + $100 = $22100

Caroline leaves her apartment and walks 45° north of west for 1000 feet and then walks 200 feet due north to go to the grocery store. How far and at what north of west
quadrant is Caroline from being at her apartment?

Answers

Answer:

  1150 ft W 52° N

Step-by-step explanation:

There are several ways a problem like this can be solved. Perhaps the easiest is to make use of a suitable vector calculator.

Using West as the reference for angles measured clockwise (toward north), the final position is ...

  1000∠45° +200∠90° = 1150.149∠52.063°

__

You can also figure this using the Law of Cosines. It will tell you the resultant distance (c) in terms of the individual distances (a, b) and the angle between them (135°).

  c² = a² +b² -2ab·cos(C)

  c² = 1000² +200² -2·1000·200·cos(135°) ≈ 1,322,842.7

  c ≈ √1322842.7 ≈ 1150.149

The angle difference from 45°N can be found using the Law of Sines.

  sin(B)/b = sin(C)/c

  B = arcsin(b/c·sin(C)) = arcsin(200/1140.149·sin(135°)) ≈ 7.063°

This means Caroline's bearing from home is 45° +7.063° ≈ 52° north of west.

Caroline's final position is 1150 W 52° N in relation to her home.

4(2-3x)=-2x-27
help plz

Answers

Answer:

x = 7/2

x = 3.5

x = 3 1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Which rate describes a unit rate of 6:1? A.) 12 tires for 3 cars B.) 30 miles for 5 hours C.) $35 for 5 set of markers D.) 45 miles in 9 hours​

Answers

Answer:

B.) 30 miles in 5 hours

Step-by-step explanation:

If you were to simplify all the ratios:

A) 12:3 divided by 3/3 is 4:1

B) 30:5 divided by 5/5 is 6:1

C) 35:5 divided by 5/5 is 7:1

D) 45:9 divided by 9/9 is 5:1

B is 6:1.

PLS SOMEONE HELP PLSSS

Answers

Answer:

x=17

Step-by-step explanation:

ok so since lines PR and RQ are congruent (we know because of the lines on them), that means angles P and Q are also equal.

now we can set up the equation to find x like this:

29+29+(8x-14)=180 (180 because the three angles of a triangle always equal 180)

x=17

help me please thanks

Answers

Answer:

h(t) = -3 + 1.5t

Step-by-step explanation:

Well, the temperature starts at -3, so that will be the y intercept. 1.5 is the rate, so that will be the slope.

h(t) = -3 + 1.5t

PLZ HELPPPPPPPPP MY SWAGGERS​

Answers

Answer:

9

Hope this helps, have a nice day/night! :D

Marty's class collected $38.00 in a school-wide penny collection contest. If Tommy's class added $8.00 to the amount they collected, x, and then multiplied the sum by 2, they would have the same amount of money as Marty's class. how much money did tims class collect

Answers

Answer: $11

Step-by-step explanation:

To have the same:

11+8=19

19×2=38

Answer:

It would be $11

Step-by-step explanation:

Hope it helps (Could you mark brainliest please)

Can someone help me out with this please​

Answers

Answer:

  a. $4200

  b. $32,300

  c. $5814

  d. $30,686

  e. 2557.17

Step-by-step explanation:

a.

The man can claim all of the allowances shown in the problem statement, except the single person's allowance.

  total allowances = married + young child + child in school + dependent relative

  total allowances = $2400 +500 +1000 +300 = $4200

__

b.

The man's taxable income is his income after allowances have been deducted:

  taxable income = gross income - allowances

  taxable income = $36,500 -4,200 = $32,300

__

c.

The tax is found by multiplying the tax rate by the taxable income.

  tax = (tax rate) ×(taxable income)

  tax = 0.18 × $32,300 = $5,814

__

d.

The net income is the gross income less the taxes paid.

  net income = gross income - tax paid

  net income = $36,500 -5,814 = $30,686

__

e.

The man's net monthly salary will be 1/12 of his annual net income.

  net monthly salary = $30,686/12 ≈ $2,557.17

what is the probability of drawing a red marble then a white marble if there are 3 red marbles and 2 white marbles

Answers

Answer:

3/5

Step-by-step explanation:

None sense >report
I. Study the situation below:
Jose wanted to construct a rectangular garden such that its perimeter is 28mn and
its length is 6 times its width.
What are the linear equations that represents the given situation?
II. Answer the following questions:
1. How do you describe a system of linear equations in two variables?
2.
Give at least two examples of systems of linear equations in two variables.
3.
How is the system of linear equations in two variables used in solving in real
life problems and in making decisio?

Answers

Answer:

Radio waves have photons with the lowest energies. Microwaves have a little more energy than radio waves. Infrared has still more, followed by visible, ultraviolet, X-rays and gamma rays.

Find the sum of the first 15 terms of the AP:11,5,-1,-7

Answers

Here is ur answer

- BRAINLIEST ANSWERER

[-2], absolute value of -2 is:

Answers

Answer:

answer is 2

Step-by-step explanation:

absolute value of -2 is 2

Answer:

2

Step-by-step explanation:

4. Answer a through c

Answers

Answer:

Hello is this math i can help you with your answer

I am exhausted could someone pls help me 3(-2+-8+9)divided by 4

Answers

Answer: you can use a calculator, -0.75

Step-by-step explanation:

-2+-8+9

The + and - make a - so you can simplify to

-2-8+9

-1x3

-3/4

A flower pot in the shape of a truncated cone with a height of 8 in. was formed by slicing off the tip of a cone along a plane parallel to the base.The original cone had a height of 12 in. and a volume of 810 in3. What is the volume of the tip that was sliced off?
A)30 in3B)60 in3C)90 in3EliminateD)180 in3

Answers

the correct answer is B

hope I helped


Show me the
volume of a cube
with side lengths
of 2

Answers

Answer:

8

Step-by-step explanation:

v=l*w*h so 2^3=8

A new bank customer with ​$3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.3% How much interest will the customer earn in 30 years

Answers

We must use the simple interest formula which is: A = P(1+rt) where

A = output amount , P = initial amount, r = rate as a decimal, and t = time.

so in this case we would write:

A(30) = P(1+rt) = 3000(1 + 0.013(30)) = 4170

We then see that A(30) is equal to $4170 at 30 years.

please help me in questions 16 and 17 only and i’ll mark you as brainliest i promise

Answers

Answer:

16. Domain: [-3,5] and range : [-5,3]

17. Domain: [0,4] and range: [0,4]

During vacation, Dave and his brother, Scott,rode their bikes form their family's rental house to a pond to go fishing. Although they left the rental house together, Dave arrived at the pond a few minutes before Scott. This weekend, they plan to ride a nearby mountain trial and turn back after an hour if they can't complete it. Who will likely ride farther along the mountain trial?

Answers

Answer:

Im soooooo hungry ughhh

Step-by-step explanation:

Hi

Un camión traslada 12 vehículos. Algunos son autos y otros son camionetas. Cada auto tiene una masa de 2 toneladas y cada camioneta de 3 toneladas. En total, el camión lleva una carga de 33 toneladas.
Escribe un sistema de ecuaciones que permita calcular cuántos vehículos de cada tipo traslada el camión. Usa a para representar la cantidad de autos y c para representar la cantidad de camionetas que traslada el camión.

Answers

El sistema de ecuaciones queda descrita por las siguientes expresiones:

[tex]a+c = 12[/tex]

[tex]2\cdot a + 3\cdot c = 33[/tex]

Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.

El enunciado es equivalente a un sistema de dos ecuaciones lineales con dos incógnitas. Una ecuación para la cantidad de vehículos trasladados por el camión y otra ecuación para la masa total trasladada:

[tex]a+c = 12[/tex] (1)

[tex]2\cdot a + 3\cdot c = 33[/tex] (2)

Donde:

[tex]a[/tex] - Cantidad de autos.[tex]c[/tex] - Cantidad de camionetas.

El sistema de ecuaciones queda descrita por las siguientes expresiones:

[tex]a+c = 12[/tex]

[tex]2\cdot a + 3\cdot c = 33[/tex]

Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.

Invitamos cordialmente a ver este problema sobre sistemas de ecuaciones: https://brainly.com/question/17174746

There are 150 fish in total. The ratio of goldfish to betta fish is 2:3. How many goldfish are there?

(Please help me I’m nearly crying cause I can’t answer this question. )

Answers

Answer:

60 goldfish

because there is a ratio of 2 gold fish to 3 Betta fish you can cross multiply with 2/5 and x/150 to find the number of goldfish. you can also check the answer because 60 goldfish would leave 90 Betta fish. the ratio of 60:90 can be simplified to a ratio of 2:3

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