The second term of a geometric sequence is 17.5 and the third term is 122.5. What is the common ratio? What is the first term?​

Answers

Answer 1

Step-by-step explanation:

U2=ar

U2=17.5

U3=ar^2

U3=122.5

U3/U2=122.5/17.5

ar^2/ar=7

r=7

17.5=ar

17.5=7a

a=2.5


Related Questions

A book sold 32100 copies in its first month of release. Suppose this represents 6.2% of the number of copies sold to date. How many copies have sold to date.

Answers

Answer:

1900 copies sold to date

Step-by-step explanation:

you need to find the value of 6.2% of 32100

To do this:

6.2  ÷  100

= 0.062

0.062 x 32100

= 1990.2

However, it's not possible to have .2 of a copy, so your round down

The answer is 1900 copies.

Hope it helped :)

Add
(2x^2 - 2x) + (6x - 4)

Answers

Answer:

2x^2 +4x -4

Step-by-step explanation:

(2x^2 - 2x) + (6x - 4)

Combine like terms

2x^2 +6x-2x -4

2x^2 +4x -4

1) En el siguiente enunciado, identifica la variable estadística y su tipo: Se quiere lanzar al mercado un nuevo producto y la empresa que lo crea estudia el tiempo de publicidad, en segundos, que otras empresas han utilizado para promocionar un producto de similar calidad. ) Calidad del producto - Cualitativa ordinal b) Tiempo de publicidad - Cuantitativa continua c) Calidad de productos - Cualitativa nominal d) Tiempo de publicidad - Cuantitativa discreta

Answers

Answer:

Step-by-step explanation:

Hola!

Las variables aleatorias pueden Cualitativas o cuantitativas.

Las variables aleatorias cualitativas son aquellas que se refieren a atributos o características de los individuos o unidades de interés que no son cuantificables. Dentro de estas variables se pueden identificar dos tipos:

Ordinales: estas variables representan cierto tipo de cualidad que tiene un orden natural, por ejemplo: Opinión de una persona sobre una película de estreno, calificada en "muy buena", "buena", "regular", "mala", "muy mala"

Estas calificaciones son claramente cualidades, pero tienen un orden, todo el mundo sabe que una calificación "regular" es mejor que una "muy mala" y a su vez peor que una calificación "buena"

Nominales: Son aquellas que indican atributos no cuantificables que no tienen un orden natural. Por ejemplo, color de cabello, raza, sexo.  

Las variables aleatorias cuantitativas son aquellas que registran valores numéricos, dicho de manera coloquial: "cuentan cosas". Estas variables siempre toman valores dentro de un rango o intervalo de definición, teniendo esto en cuenta podemos definir dos tipos de variables aleatorias cuantitativas:

Continuas: pueden tomar cualquier valor dentro del intervalo de definición de la variable, por ejemplo, la estatura, el peso, la temperatura, entre un valor y otro existen infinita cantidad de valores que la variable puede tomar. En muchos casos, esto está restringido a la precisión de los métodos utilizados para tomar las mediciones.  

Por ejemplo, una balanza puede tomar pesos de kilogramo a kilogramo, ej: 20kg, 21kg, 22kg mientras que una más precisa puede tomar pesos intermedios de los mismos objetos, ej: 20.1kg, 21.5kg, 22.9kg y otra más precisa puede indicar mediciones más exactas, ej: 20.142kg, 21.538kg, 22.973kg es decir que, cuanto más precisa la balanza que usemos para obtener las mediciones, mayor será la gama de valores que puede tomar la variable.

Discretas: solo pueden tomar ciertos valores dentro del intervalo de definición de la variable aleatoria, a diferencia de las variables continuas, entre los valores posibles que pueden tomar estas variables, no se encuentra nada, es decir que "saltan" de valor en valor. Por esto también se las llama variables discontinuas.

Uno de los ejemplos más comunes de variable discreta es hacer rodar un dado de 6 caras, la variable puede tomar valores 1, 2, 3, 4, 5, 6 pero no puede tomar valores entre esos valores, es decir, el dado nunca va a mostrar valores intermedios como "2.5" o "3.3".

Dicho esto pasemos a identificar el tipo de cada ejemplo:

a) y c) Calidad del producto

Esta es algo engañosa, porque todo depende de la escala determinada para medir la calidad.

Es decir, si la escala de medición de la calidad de un objeto es de 0 a 10, siendo cero lo peor y 10 lo mejor, entonces la variable es cuantitativa discreta.

Sin embargo, si la escala es nominal, por ejemplo: Alto, medio, bajo, entonces la variable es cualitativa y como las categorías tienen un orden natural, no solo es cualitativa, sino que también es ordinal.

b) y d) Tiempo de publicidad

Esta variable aleatoria "cuenta el tiempo", toma valores numéricos con lo cual es cuantitativa y, además, puede tomar cualquier valor dentro del intervalo de definición, todo depende de la precisión del reloj utilizado lo que la califica como variable continua.

Espero que tengas un buen días!

Which linear function has the steepest slope? On a coordinate plane, a line goes through points (0, 3) and (4, 2). y = negative 0.1 x minus 5 A 2-column table with 5 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4. Column 2 is labeled y with entries 0, 0.5, 1.0, 1.5, 2.0. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 6, negative 2, 1, 7, 9. Column 2 is labeled y with entries 6.6, 4.2, 2.4, negative 1.2, negative 2.4.

Answers

Answer:

Its d or option 4

Step-by-step explanation:

A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28. Hope this helps :)

Answer:

D

Step-by-step explanation:

A room is 20 feet by 25 feet with a 10-foot ceiling. If Mickey paints the walls and the ceiling, how much surface area will he cover? Think, What area ISN'T Micky covering and subtract out that area...

Answers

Answer:

1400ft²

Step-by-step explanation:

Given

Room Dimension: 20 ft by 25 ft by 10 ft

Where Length = 20 ft

Width = 25 ft

Height = 10 ft

Required

Surface area of painted walls and ceiling

We'll assume that the room is rectangular in shape and all 4 sides are covered.

This means that Mickey will paint 4 walls and 1 ceiling.

The dimension of the 2 of the 4  walls is as follows;

20ft by 10ft, 25ft by 10ft,

Because opposite sides of a rectangle are equal, the dimension of the remaining 2 walls is: 20ft by 10ft, 25ft by 10ft

Calculating the area of the 4 walls;

[tex]Area = 20ft * 10ft + 25ft * 10ft + 20ft * 10ft + 25ft * 10ft[/tex]

[tex]Area = 200ft^2 + 250ft^2 + 200ft^2 + 250ft^2[/tex]

[tex]Area = 900ft^2[/tex]

The dimension of the ceiling is as follows:

20ft by 25ft

Calculating the area of the ceiling

[tex]Area = 20ft * 25ft[/tex]

[tex]Area = 500ft^2[/tex]

So, the area Micky will cover = Area of 4 walls + Area of ceiling

Total Surface Area [tex]= 900ft^2 +500ft^2[/tex]

Total Surface Area = [tex]1400ft^2[/tex]

Hence, Micky will cover 1400ft²

Help fasttt!
What is the value of x?

Answers

Answer:

14

Step-by-step explanation:

5x = 70

x = 14

Answer:

The answer is option 1.

Step-by-step explanation:

Given that total angles in a quadrilateral is 360°. So in order to find x, you have to substract the remaining angles from 360° :

[tex]5x + 110 + 110 + 70 = 360[/tex]

[tex]5x + 290 = 360[/tex]

[tex]5x = 360 - 290[/tex]

[tex]5x = 70[/tex]

[tex]x = 70 \div 5[/tex]

[tex]x = 14[/tex]

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

[tex]2x^2-x+3[/tex]

Step-by-step explanation:

So just divide the areas by the length:

[tex]2x^2-x+3[/tex]

And that is your width.

Answer:

iddk

Step-by-step explanation:

The answer for this should be 50 but I don’t know how could someone tell me why it’s $50?

Answers

Answer:

50

Step-by-step explanation:

So say the bill is x.

18% of x = 0.18x

0.18x = 9

x = 50

Answer:

it is 50

Step-by-step explanation:

you have to do 9 x 10/18

Which percent is equivalent to One-half? edgeunity

Answers

Answer:50%

Step-by-step explanation:

Answer:

The answer is 50%

Step-by-step explanation:

Triangle ABC is represented by the drawing below.


What are the measures of the interior angles of ABC?

Answers

Step-by-step explanation:

Therefore,

(x+20) + (x-10) + (2x-30) = 180° (Sum of interior angles of a triangle)

Or, x+x+2x+20-10-30 = 180°

Or, 4x-20 = 180°

Or, 4x= 180+20

Or, 4x= 200°

Or, x= 200°/4

Therefore, x= 50°

So,

(x+20)

= 50+20

=70°

(x-10)

= 50-10

40°

(2x-30)

= 2×50-30

=100-30

=70°

Hope it helped, If it did, please mark it as the brainliest answer :)

(y+3)(x^2–3y+9) What is the product?

Answers

Answer:

yx

​2

​​ −3y

​2

​​ +3x

​2

​​ +27

Step-by-step explanation:

PLEASE HELP MEEE ITS VERY URGENT

Answers

Answer:

[tex]C=31.42[/tex]

[tex]A=78.55[/tex]

Step-by-step explanation:

[tex]C=2\pi r[/tex]

[tex]C=2 \times 3.142 \times 5[/tex]

[tex]C=31.42[/tex]

[tex]A=\pi r^{2}[/tex]

[tex]A=3.142 \times 5^{2}[/tex]

[tex]A=3.142 \times 25[/tex]

[tex]A=78.55[/tex]

Choose all that give the correct explicit and recursive formula for the sequence.

Answers

Answer: not clear

Step-by-step explanation:

A snowcone cup at the country fair is 15 cm tall and has a diameter of 8 cm if the cup is full just the top what is the volume of the cup used to. For for a party and round to the nearest whole cubic centimeter

Answers

Answer:

2827 cubic centimetre

Step-by-step explanation:

The cup is cylindrical in shape and it is full to the top.

The height of the cup is 15 cm and its diameter is 8 cm (radius = 4 cm).

The volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius

h = height

The volume of the liquid in the cup is:

[tex]V = \pi * 15^2 * 4[/tex]

V = 2827.43 cubic centimetre ≅ 2827 cubic centimetre

Which choice is equivalent to the product below when x>0?

Answers

Answer: 1/3

Step-by-step explanation: Using Radical Properties, Whenever we have two or more radical terms which are multiplied with same index, then we can put only one radical and multiply the terms inside the radical.

[tex]\sqrt{ \frac{5}{x^2} }\times \sqrt{ \frac{x^2}{45} }=\sqrt{ \frac{5x^2}{45x^2} }=\sqrt{ \frac{1}{9} }=\frac{1}{3}[/tex]

The expression √(5/x²).√(x²/45) is equivalent to 1/3.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is √(5/x²).√(x²/45)

Square root of five by x square times square root of x square by forty five

√(5/x²).√(x²/45)

√(5x²/45x²)

Cancel out the x² in the numerator and denominator

√(5/45)

Divide numerator and denominator by 5

√(1/9)

1/3

Hence,  the expression √(5/x²).√(x²/45) is equivalent to 1/3.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ5

To cover a distance of 240km, a car has to increase the speed by 5km/hr to reach in time. If the time lost was 40 minutes during traffic jam, find the original speed of the car.

Answers

Answer:

Step-by-step explanation:

Given That

To cover a distance of 240km, a car has to increase the speed by 5km/hr to reach in time. If the time lost was 40 minutes during traffic jam, find the original speed of the car.

                                  .

increased speed of car = 5km/hr .....(speed 1st)

distance travelled = 240km

speed = distance travelled / time taken

= 240 / 40

= 6

thus,

speed = 6km/hr .....(speed 2nd)

.

therefore original speed

= speed 2nd - speed 1st

= 6-5

= 1

Ans. thus, the original speed of the car is 1km/hr.

Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)?

Answers

Answer:

x > - 1.1

All values that are more than - 1.1.

Step-by-step explanation:

4(2 – x) > –2x – 3(4x + 1)

8 - 4x > - 2x - 12x - 3

8 - 4x > - 14x - 3

8 - 4x + 14x > - 14x+ 14x - 3

8- 8 + 10x > - 3 - 8

10x > - 11

x > - 1.1

All values that are more than - 1.1.

Answer:

1.1

Step-by-step explanation:

After the last ice age began, the number of plant species in South America changed rapidly. The relationship between the elapsed time, t, in years, since the ice age began, and the total number of plant species,P (t), is modeled by the following function: P(t)=30,000,000⋅(89)t Complete the following sentence about the yearly rate of change of the number of plant species. Every year, the number of plant species grows/shrinks by a factor of __

Answers

Answer: Every year, the number of plant species shrinks by a factor of 8/9

Step-by-step explanation:

The factor for the numebr of plant species that grows/shrinks, as represented in the exponential function is: 8/9.

What is an Exponential Function?

An exponential function is represented by the equation, [tex]f(x) = ab^x[/tex], where:

a = intial valueb = growth factor or multiplier

Given the function that models the number of plant species, P(t) = 30,000,000⋅(8/9)t, the growth factor in the exponential function is, 8/9.

Therefore, number of species grows/shrinks by a factor of 8/9.

Learn more about exponential function on:

https://brainly.com/question/2456547

(PLEASE HURRY I NEED IT TODAY)
The triangle ABC goes through a series of transformations, resulting in the triangle A’B’C’. The three transformations are listed below. Reflection in the x- axis. Followed by a rotation of 1800 clockwise about the origin Followed by a translation 3 units down and 4 units to the right For triangle ABC, the vertex A is originally located at (-2, 3). Show the new coordinates of A after each of the three transformations above.

Answers

Answer:

1) Reflection in the x-axis

A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

A'' = (2, 3)

3) Translation of 3 units down and 4 units to the right

A''' = (6, 0)

Step-by-step explanation:

The transformations are as follows;

1) Reflection in the x-axis

Here the x-coordinate is the same and the y-coordinate changes sign.

Therefore, we have;

A (-2, 3)

After reflection in the x-axis becomes A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

When, a point (x, y) is rotated 180° clockwise about the origin, it becomes (-x, -y)

Therefore, we have;

A' = (-2, -3) becomes A'' = (2, 3)

3) Translation of 3 units down and 4 units to the right

Translation of 3 units down and 4 units to the right = [tex]T_{(4, -3)[/tex]

Which gives

A''' = (2 + 4, 3 - 3) = (6, 0).

Please answer my question

Answers

Answer:

25 percent

Step-by-step explanation:

Total months: 12

Months read more than three books: 3

3/12=25 percent

Answer:

1/4 = 25%.

Step-by-step explanation:

To figure out the percent of months in which she read more than 3 books, we need to figure out how many times she read more than 3 books.

According to the table, she read more than 3 books exactly 3 times: 4, 5, 5.

We also know that there is a total of 12 months. Out of the 12 total months, she read more than 3 books 3 times. So we can say that:

3/12 = 1/4 = 25% of the months she read more than 3 books.

I hope this helps!

Find the
15x^2 and 18

Answers

Answer:

I couldn't understand your question, please send once more

Answer: GCF = 3

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

Hope this helps!

Pls select the correct answer

Answers

Answer:

Only Joe is correct

Step-by-step explanation:

We can infer this by looking at the ratio provided. The ration states that for every 2 men there are 7 women. It doesn't specify the total. So using this ration we get the answer that for every 1 man there are 3 1/2 women which is equal to Joe's answers.

Answer:

[tex]C[/tex]

Step-by-step explanation:

Jo is right. There are 3.5 times as many women as men.

[tex]2 \times 3.5 = 7[/tex]

Paul is right. 2 in 7 people are men.

[tex]2 : 7[/tex]

A triangle on a coordinate plane is translated according
the rule T-3, 5(x, y). Which is another way to write this rule?
OOO
(x,y) → (X-3, y + 5)
(x, y) → (X-3, y-5)
(x,y) → (X + 3, y-5)
(x, y) - (x + 3, y + 5)

Answers

Answer:

(x,y)  --->  (x - 3, y + 5).

Step-by-step explanation:

The x coordinates are moved 3 to the left (negative) and the y coordinates are moved 5 units up (positive y).

it's A) (x,y) → (X-3, y + 5) on edge 2020

Working together, Shawn and Hector can install a tile floor in 6 hours. It would take Shawn 9 hours to do the job alone.

Answers

Hector could do it in 3 hours.
Your question doesn’t really make sense though.
Is there another part to your question?

Allison plays basketball and last season she made a total of 87 shots (two- or three- point shots). Her points total was 191. How many three-points shots did she make

Answers

Answer:

17

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

 -  2t + 2h = 174

               h  = 17

Therefore, she made 17 three point shots.

How do I solve 5n=20

Answers

Answer:

n = 4

Step-by-step explanation:

To solve for n, you need to undo what is being done to the variable. Since n is being multiplied by 5, you must divide both sides of the equation by 5.

1. (5n)/5 = 20/5

2. n = 4

Hope this helps! (Please consider giving brainliest)

[tex]5n=20[/tex]

Divide 5 from both sides.

[tex]5n/5=20/5[/tex]

[tex]n[/tex] does not have a coefficient now.

[tex]n=4[/tex]

What is the answer to the math problem 6+(-3)

Answers

the answer should be 3

Answer:

3

Step-by-step explanation:

.-.-.-.-.

Calvin was told he should drink 2 liters of water
everyday. If he did this, how much water would
he drink in I week (7 days) ?​

Answers

Answer:

14

Step-by-step explanation:

Its pretty simple. You just have to multiply 7 and 2 to get the product of 14. Hopw this helps

Answer:

14 liters every week.

Step-by-step explanation:

There are 7 days in a week.

If he drank 2 liter every day, you could solve this the following ways...

2+2+2+2+2+2+2=14 because 2 liter every day for 7 days

7 x 2  because there are 7 days in a week, and he drank 2 liters a day, so 7 x 2 would work.

7 + 7 would also work.

Your welcome.

I really hope I helped.

Can I plz have brainliest please?

An object’s weight on Earth varies directly to its weight on the Moon. If a man weighs 180 kg on Earth, then he will weigh 30 kg on the Moon. Set up an algebraic equation that expresses the weight on Earth in terms of the weight on the Moon and use it to determine the weight of a woman on the Moon if she weighs 120 kg on Earth.

Answers

Answer:

The gravity of the Moon is about one sixth that of the Earth. For example, an astronaut weighing 180 pounds on the Earth would weigh about 30 pounds on the Moon.

PLEASE SEE PIC BELOW

Answers

Answer:

They have the same domain and range

Step-by-step explanation:

Although they are different equations, they both have a domain of

[0,∞)

and a range of

[0,∞)

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