What is the 20th term of the sequence that begins -4,8,-16,32,...?
A. 1,048,576
B. 2,097,152
C. 524,288
D. -524,288​

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

The 20th term of the sequence that begins as -4,8,-16,32,...is 2097152.

What is a geometric progression?

It is a type of sequence in which all the elements have common ratio. To calculate the common ratio we apply the following formula:

Ratio=a n/ a n-1

How to solve a geometric progression?

If we carefully watch our sequence we will be able to find that it is a geometric progression because all the terms have common ratio of -2.

To calculate the 20th term we will apply the formula:

20th term =[tex]ar^{20-1}[/tex]

=-4* [tex](-2)^{19}[/tex]

=-4*-524288

=2097152

Hence the 20 th term is 2097152.

Learn more about geometric progression at https://brainly.com/question/12006112

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Related Questions

A motorcycle bought for $10,000 depreciates continuously at 9% per annum. What is the value after seven years round the answer to the nearest dollar

Answers

Answer:

Book value= $62.83

Step-by-step explanation:

Giving the following information:

A motorcycle bought for $10,000 depreciates continuously at 9% per annum.

First, we need to calculate the depreciation of seven years:

FV= PV*{[1+(-i/100)]^n}

FV= 10,000*{[1+(-0.09/100)]^7}

FV= $9937.17

Book value= 10,000 - 9,937.17

Book value= $62.83

what is the percent of 2is 0.5​

Answers

Answer:

0.01

Step-by-step explanation:

Answer:

25

0.5 is what percent of 2 = 25.

Hope this helped! :)

May i have brainliest!

use distributive property to find 6×296​

Answers

Answer:

296 x 6 = 1776

Step-by-step explanation:

it’s 296x6 it’s just the opposite form

Evaluate the expression when a=3 and b= 19.
b-4a

Answers

Answer:

7

Step-by-step explanation:

19 - 4(3) = 19 - 12 = 7

please give me a brainiest

water flows into a reservoir at a rate of 1500+7t^2 gallons/hour. Since there is a tiny hole in the reservoir, the water leaks out at a rate of 4t+t^2 gallons/hour. What is the net change in the amount of water in the reservoir over the time interval of [1,5]

Answers

9514 1404 393

Answer:

  6200 gallons

Step-by-step explanation:

The rate of change of volume is the difference between the inflow rate and the outflow rate.

  v'(t) = (1500 +7t^2) -(4t +t^2) = 6t^2 -4t +1500

The change in volume over the time interval of interest is the integral of this expression over that interval:

  [tex]\displaystyle\Delta V=\int_1^5{(6t^2-4t+1500)}\,dt=\left.(2t^3-2t^2+1500t)\right|^5_1\\\\=2(5^3-1^3)-2(5^2-1^2)+1500(5-1) = 2\cdot124-2\cdot24+1500\cdot4\\\\\boxed{\Delta V=6200\qquad\text{gallons}}[/tex]

The amount of water in the reservoir increases by 6200 gallons over the time interval.

si la pendiente es negativa, la linea no es recta?​

Answers

En matemáticas, la pendiente de una línea ( m ) se describe cómo rápidamente o lentamente cambiar se está produciendo y en qué dirección, ya sea positiva o negativa. Funciones-aquellos lineales cuya gráfica es una línea recta-tienen cuatro posibles tipos de pendiente: positivos , negativos, cero , e indefinido. Una función con una pendiente positiva está representada por una línea que sube de izquierda a derecha, mientras que una función con una pendiente negativa se representa por una línea que va hacia abajo de izquierda a derecha. Una función con pendiente cero está representado por una línea horizontal, y una función con una pendiente indefinida está representada por una línea vertical.

La pendiente se expresa normalmente como un valor absoluto. Un valor positivo indica una pendiente positiva, mientras que un valor negativo indica una pendiente negativa. En la función y = 3 x , por ejemplo, la pendiente es positiva 3, el coeficiente de x .

En estadística, un gráfico con una pendiente negativa representa una correlación negativa entre dos variables. Esto significa que como una variable aumenta, la otra disminuye, y viceversa. Correlación negativo representa una relación significativa entre las variables x e y , que, dependiendo de lo que son el modelado, puede entenderse como entrada y salida , o causa y efecto .

¿Cómo encontrar la pendiente

pendiente negativa se calcula igual que cualquier otro tipo de pendiente. Lo puede encontrar dividiendo la subida de dos puntos (la diferencia a lo largo del eje y vertical u) por la carrera (la diferencia a lo largo del eje x). Sólo recuerda que la “subida” es en realidad una caída, por lo que el número resultante será negativo.

m = (y2 - y1) / (x2 - x1)

Una vez que se representa gráficamente la línea, verá que la pendiente es negativa porque la línea bajará de izquierda a derecha. Incluso sin dibujar un gráfico, usted será capaz de ver que la pendiente es negativa, simplemente calculando m utilizando los valores dados para los dos puntos.

Por ejemplo, la pendiente de una línea que contiene los dos puntos (2, -1) y (1,1) es:

m = [1 - (-1)] / (1 - 2)

m = (1 + 1) / -1

m = 2 / -1

m = -2

Una pendiente de -2 significa que por cada cambio positivo en x , habrá el doble de cambio negativo en y .

= Pendiente negativa correlación negativa

Un negativo pendiente demuestra una correlación negativa entre los siguientes:

las variables x e y

entrada y salida

variable independiente y la variable dependiente

causa y efecto

Correlación negativa se produce cuando las dos variables de un movimiento función en direcciones opuestas. A medida que el valor de x aumenta, el valor de y disminuye. Del mismo modo, como el valor de x disminuye, el valor de Y aumenta. Correlación negativa, entonces, indica una clara relación entre las variables, es decir, uno afecta al otro de una manera significativa.

En un experimento científico, una correlación negativa mostraría que un aumento en la variable independiente (el manipulado por el investigador) causaría una disminución en la variable dependiente (la medida por el investigador). Por ejemplo, un científico podría encontrar que a medida que los depredadores se introducen en un entorno, el número de presas se hace más pequeño. En otras palabras, existe una correlación negativa entre el número de depredadores y número de presas.

Ejemplos del mundo real

Un ejemplo sencillo de pendiente negativa en el mundo real está bajando una colina. Cuanto más lejos esté de viaje, cuanto más abajo se le cae. Esto puede ser representado como una función matemática, donde x es igual a la distancia recorrida y Y es igual a la elevación.

Otros ejemplos de pendiente negativa demuestran la relación entre dos variables:

Sr. Nguyen bebe café con cafeína dos horas antes de su hora de dormir. Los más tazas de café bebe (entrada), el menor número de horas que van a dormir (salida).

Aisha es la compra de un billete de avión. El menor número de días entre la fecha de compra y la fecha de salida (entrada), más el dinero Aisha tendrán que gastar en pasajes de avión (salida).

John está gastando una parte del dinero de su último cheque de pago en regalos para sus hijos. Cuanto más dinero gasta John (entrada), menos dinero John tendrá en su cuenta bancaria (de salida).

Mike tiene un examen al final de la semana. Desafortunadamente, él prefiere pasar su tiempo viendo deportes en la televisión que estudiar para el examen. Cuanto más tiempo pasa viendo la televisión Mike (entrada), la puntuación del Mike menor será en el examen (de salida). (En contraste, la relación entre el tiempo dedicado al estudio y la puntuación de examen estaría representada por una correlación positiva, ya que un aumento en el estudio conduciría a una mayor puntuación.)

Carlos can run 5 miles in 45 minutes, Kelly can run 10 miles in 80 minutes, and Mick can run 30 miles in 170 minutes

Answers

Answer:

60 min

Step-by-step explanation:

Answer:

what is the question please

Which ordered pair is a solution to the system of linear equations?


Can you please help me? I will mark biggest brain if correct. Thank you.​

Answers

B pretty simple need in depth let me know

Answer:

can u give me ur Intro..........

Please help brooo
Rose and Natalie are saving money for a trip. The table shows the amount of money Rose saves each month.
The graph shows Natalie's savings.

Please help



Which statement about rose and natiles is true

A the women save the same amount of money each month

B the initial value of natalies savings is greater than rose
C the rate of change ROC for roes saving is less than natiles

D after 5 months natalies has saved more money than rose

Answers

i believe it’s C because it looks like natalies roc is $60 while roses is only $50.

Y=3/2x+3
y=-3 solve.

Answers

Answer : x= -4

This type of problem, you set them equal to each other. And then solve. Don’t forget you can multiply each side by denominator to eliminate the fraction.
Work:

What does > mean. Greater than or less than.

Answers

Answer:

less than

Step-by-step explanation:

Convert 45°C to Fahrenheit

Answers

It’s 113 Fahrenheit

Answer:

113

Step-by-step explanation:

it right trust

GIVING BRAINLIEST!
What kinds of observations can you make that might indicate a chemical change is taking place?

Answers

Answer:

1. Color Change.

2. Production of an odor.

3. Change of Temperature.

4. Evolution of a gas (formation of bubbles)

5. Precipitate (formation of a solid)

Step-by-step explanation:

PLEASE HELP ASAP. GIVE ANSWER AND BRIEF EXPLANATION.
The graph is attached
Determine whether the function shown in the graph is even or odd.

A. The function is even because it is symmetric with respect to the y-axis.
B. The function is odd because it is symmetric with respect to the y-axis.
C. The function is even because it is symmetric with respect to the origin.
D. The function is odd because it is symmetric with respect to the origin.

Answers

A. hope this helps):)

What is the slope of the line?

Answers

Answer:

24'

Step-by-step explanation:

the slop aims for the angle in which the 78 can go in: hope this helps!!

Ok so the slope of this line is approximately (2,1)

What is the slope of the line on the graph

Answers

Answer:

its 2

Step-by-step explanation:

for every 1 x value, the y increases by 2

I need help don’t understand

Answers

If f(x)=x+1 and then x became 2, you would have the function f(x)=3. So basically for that function you would be going up three over 1. That function is already g(x)=4x. If X became 2, you would have g(x)=8x. The rate of up 8 and then over one. Because of that, g(x) would be higher

okay first off: we both use the same virtual school and i just thought that was cool lol

the equation for g(x) is g(x)=4x-5 so when you substitute in x it becomes

g(x)= 4(2) -5 or g(x)= 8-5 which equals g(x)=3

when you substitute in x, f(x) becomes

f(x)= 2 + 1 which equals f(x)=3

therefore when x=2, both functions are equal :)

hope this helps!!

6,726 ÷ 85
with the remainder

Answers

Answer:

79.13

Step-by-step explanation:

In a race, 47 out of the 50 swimmers finished in less than 35 minutes. What percentage of the swimmers finished the race less than 35 minutes?
47*_____=_______
50*_____=_______=______%

Answers

Answer:

94%

47*2=94

50*2=100

Step-by-step explanation:

Answer: 94% of the swimmers finished the race in less than 35 minutes.

Step-by-step explanation:

There are several ways to go about finding the answer. The best way to solve this, which can be easily applied to other percentage problems is dividing the number of swimmers who finished in this time (47) by the total number of swimmers (50) (Using a calculator).

47/50 = 0.94

To change a decimal to a fraction, move the decimal place over two spaces to the right. Therefore, 0.94 becomes 94%.

Way 2:

This only works because there the number of swimmers are a multiple of 100.

50 is 1/2 of 100. To get the full 100, you can multiply both the numerator and denominator by 2.

Multiply 47 by 2 to get 94 and 50 by 2 to get 100. Thus, 94/100 swimmers would have finished in under 35 minutes. 94/100 = 94%

A 2-column table with 7 rows. Column 1 is labeled x with entries 35, 35, 39, 44, 44, 48, 49. Column 2 is labeled y with entries 439, 440, 417, 615, 409, 403, 404. Leah claims the data in the table contains a cluster. Why is Leah’s statement true? There is no obvious outlier. The y-values are steadily increasing as the x-values are decreasing. The data contains a group of closely occurring points. Leah’s statement is not true.

Answers

Answer:

its c

Step-by-step explanation: A 2-column table with 7 rows. Column 1 is labeled x with entries 0.5, 1, 1.5, 1.5, 2, 2.25, 2.75. Column 2 is labeled y with entries 41, 35, 37, 36, 35, 30, 31.

The data set in the table forms a cluster and does not include outliers.

Which point, if added to the table, would be an outlier?

✔ (2.75, 41 )

Answer:

C. The data contains a group of closely occurring points

Step-by-step explanation:

Edge 2023

Which expression has both eight and N factors

Answers

Answer:

8n

Step-by-step explanation:

8n is the factor of both 8 and n. in the following question. Factor ⇒ If a number, that use to divide another number and we get zero as a remainder, the number is called the factor of another number.

i need help for this question

Answers

Answer:

4, 4, and 8

Step-by-step explanation:

2 cups * 2 marshmallows per cup = 4 marshmallows

8 marshmallows / 2 marshmallows per cup = 4 cups of hot cocoa

16 marshmallows / 2 marshmallows per cup = 8 cups of hot cocoa

the rest of the space you need to fill in I think it’s 1,2 then 2,4 then 4,8 then 8,16 because your multiplying it by 2 each time. Hope this helps:)

In a game, the probability of landing on yes is 1:2. How many times would you expect to land on yes if you spin the spinner 20 times?

Answer due at 12:00 pm Pacific Daylight Time.

Answers

Answer:

half of the time so 10 times

help ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️​

Answers

Answer:

.66

Step-by-step explanation:

Anna works in sales and earns $100 each week plus $15 per sale. This week, she wants to be paid at least $500. Which inequality can be used to find the number of sales she needs to make?
A. 100-15x ≤ 500
B. 100+15x ≤ 500
C. 100-15x ≥500
D. 100+15x ≥ 500

Answers

Answer:

its B I think so yea

Step-by-step explanation:

The shoe store’s clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is applied, how much would the commission be for Isaac’s purchase with and without a coupon? (2 points)

plss show work I will mark brainliest

Answers

Answer:

a) 37 + 42 =79

=7/100 x 79

=553/100

=5.53

Isaac's total bill = 79 + 5.53 = $84.53

b) 25/100 x 79

= 19.75

= 79 - 19.75

= $59.25 (before tax)

7/100 x 59.25

= 414.75/100

= 4.15

= 59.25 + 4.15

= $63.4 (after adding tax)

First we have to take out the percentage of discount and minus it from the total cost . To find the discounted price with tax, we have to take out the percentage of the tax from the discounted amount and add it to the discounted amount to get the total cost.

1 As a part of her project, Flora made a scale drawing of the zoo with a scale factor of
1 inch = 5.77 feet. If the diameter of the bug carousel in the drawing was 3 inches, determine the
actual diameter of the carousel.

Answers

Answer:

honestly I have no idea

Step-by-step explanation:

1x-3x=2x

This equation has one solution. 3(x – 2) + 4x = 10(x + 1) What is the solution?
A.) -5
B.) -2
C.) -16/3
D.) -16/7

Answers

Answer:

C) -16/3

Step-by-step explanation:

3(x – 2) + 4x = 10(x + 1)

Multiply      3x-6+4x=10x+10

Combine like terms     7x-6=10x+10

Subtract 7x from both sides      -6=3x+10

Subtract 10 from both sides      -16=3x

Divide      -16/3=x

Answer:

Choice C -16/3

Step-by-step explanation:

3(x – 2) + 4x = 10(x + 1) <-- Distribute

3x - 6 + 4x = 10x + 10 <-- Combine all like terms

7x - 6 = 10x + 10 <-- Combine all like terms in one side

7x - 10x = 10 + 6 <-- Simplify

-3x = 16 <-- Isolate x by dividing

x = -16/3

help me plssssssss :)

Answers

The second one 2 x 8n.8n.8n.8n

I am making mashed potatoes with 1.25 pounds of mashed potatoes, .14 pounds of olive oil, and .33 pounds of almond milk. How much will the final dish weigh?

Answers

Answer:

1.72 pounds

Step-by-step explanation:

1.25 + 0.14 + 0.33 =1.72 pounds

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