if the second term of a geometric series is 48 and its fifth term is 6 then find the sum of its first term 6 terms​

Answers

Answer 1

Answer:

The answer is 189.

Step-by-step explanation:

This geometric sequence is actually just a division of 2 for every term downwards. Therefore, we can see the first term is [tex]48 \cdot 2[/tex] which is 96. Hence, we can work our way down from there:

List:

First term: 96

Second term: 48

Third term: 24

Fourth term: 12

Fifth term: 6

Sixth term: 3

Now, all we have to do is to add all the first 6 terms together to get:

[tex]96 + 48 + 24 + 12 + 6 + 3[/tex]

[tex]= 189[/tex]

The answer is 189.

Hope this helped!


Related Questions

fine! many grams did she use ​

Answers

Answer:

72 Grams

Step-by-step explanation:

You do 288/24 and then you would get 12 and then you would do 6 * 12 and get 72   (12 cups of tea.. darn)

three out of five houses in a small town are owned by families if there are 250 houses in town how many houses are owned by families

Answers

Answer:

150 houses

Step-by-step explanation:

for every 5 houses, 3 are owned by families. If you 50x the amount, for every 250 houses, there will be also 3x50=150 ones owned by families

Un taxista compra un coche el 1 de enero de 2013 por 30.000 € . El coche tiene una vida útil de 10 años y un valor residual de 3000 €. El 30 de junio de 2015 vende el coche por 25.000 € . ¿ Qué beneficio ha obtenido?

Answers

Answer:

El taxista obtiene un beneficio de 1.750 € por la venta del taxi el 30 de junio de 2.015.

Step-by-step explanation:

El coche experimenta depreciación a medida que cubre su vida útil hasta caer a su valor residual, es decir, el valor del bien al término de su vida útil. En primer lugar, derivamos una ecuación del precio actual del coche en función del tiempo transcurrido bajo el supuesto de que existe una relación lineal:

[tex]C(t) = C_{o} + \frac{C_{f}-C_{o}}{\Delta t} \cdot t[/tex], para [tex]0\leq t\leq \Delta t[/tex] (1)

Donde:

[tex]C(t)[/tex] - Precio actual del coche, medido en euros.

[tex]C_{o}[/tex] - Precio inicial del coche, medido en euros.

[tex]C_{f}[/tex] - Precio residual del coche, medido en euros.

[tex]\Delta t[/tex] - Vida útil del coche, medida en años.

[tex]t[/tex] - Tiempo actual del coche, medida en años.

El precio actual del coche se obtiene a partir de los siguientes parámetros:

([tex]C_{o} = 30.000\,EUR[/tex], [tex]C_{f} = 3.000\,EUR[/tex], [tex]\Delta t = 10\,yr[/tex], [tex]t = 2.5\,yr[/tex])

[tex]C(t) = 30.000\,EUR +\left(\frac{3.000\,EUR-30.000\,EUR}{10\,yr} \right)\cdot (2.5\,yr)[/tex]

[tex]C(t) = 23.250\,EUR[/tex]

El beneficio derivado por la venta del coche ([tex]\Delta C[/tex]), medido en euros, se obtiene mediante la siguiente sustracción:

[tex]\Delta C = V-C[/tex] (2)

Donde:

[tex]V[/tex] - Precio de venta del coche, medido en euros.

[tex]C[/tex] - Precio actual del coche, medido en euros.

Si tenemos que [tex]V = 25.000\,EUR[/tex] y   [tex]C = 23.250\,EUR[/tex], el beneficio obtenido por la venta es:

[tex]\Delta C = 25.000\,EUR-23.250\,EUR[/tex]

[tex]\Delta C = 1.750\,EUR[/tex]

El taxista obtiene un beneficio de 1.750 € por la venta del taxi el 30 de junio de 2.015.

Matsuki is very very bored...

34 + 35 x (60/2) - (40/2) = ?

Answers

I believe the answer is 1064.

P.s. your cute matsuki <3

1. 100= 125x^2 find x using logarithms

Answers

Answer:

Step-by-step explanation:

Answer:

x =2√55,−2√55

Decimal Form:  x=0.89442719…,−0.89442719…

Step-by-step explanation:

Find the 13th term of the geometric sequence 1,−2,4

Answers

Answer:

4096

Step-by-step explanation:

Given

Geometric sequence 1,−2,4First term = 1Common difference = -2

13th term is:

1*(-2)^12 = 4096

HELP ME PLEASE!! im being timed :(

Answers

Answer:

the first one and the third one

Step-by-step explanation:

6^-2
1^6^-2
“^” this means to the power

What are the values of x and y?​

Answers

Answer:

Is there supposed to be a picture?

Answer:

I need to see the equation not the question only so if you could show me the equation in a screenshot it would help me better understand what the question is and I might be able to answer ur question.

Step-by-step explanation:

simplify (3s^8)^-5 write your answer using only positive exponents. help please!!

Answers

Answer:

1 / ( 243s^40 )

Step-by-step explanation:

For this problem, we need to know that a negative exponent simply can be rewritten in the opposing part of the fraction, for this case, the denominator.  So we can simplify as shown:

(3s^8)^-5

= 1 / (3s^8)^5

= 1 / 3^5 * s^8^5

= 1 / 243 * s^40

= 1 / ( 243s^40 )

Cheers.

The expression [tex]\left (3s^8 \right )^{-5}[/tex] is simplified as equal to [tex]\boldsymbol{3s^{-40}}[/tex]

Define exponent.

The amount of times an integer is multiplied on its own is referred to as an exponent.

Given expression is [tex]\boldsymbol{\left (3s^8 \right )^{-5}}[/tex]

Use the formula: [tex]\boldsymbol{\left ( a^m \right )^n=a^{mn}}[/tex] to simplify the expression.

[tex]\left (3s^8 \right )^{-5}=3s^{8\times (-5)}[/tex]

           [tex]=\boldsymbol{3s^{-40}}[/tex]

So, the expression is simplified as equal to [tex]\boldsymbol{3s^{-40}}[/tex]

Fin out more information about the expression here:

https://brainly.com/question/14083225?referrer=searchResults

Help me please ASAP!

Answers

Answer:

Choice 1

Choice 4

Choice 5

Step-by-step explanation:

For this one you just have to plug in the x in every equation and solve it. If the answer is true it's true, but if it's false it's false.

Let's solve each of these...

Number 1:

[tex]9-3x=0\\9-3(3)=0\\9-9=0\\0=0[/tex]

As you can see 0 does equal itself so this one is true.

Number 2:

[tex]3x+1=9\\3(3)+1=9\\9+1=9\\10\neq9[/tex]

10 does not equal 9 so this one would be false.

Number 3:

[tex]5x-7=1\\5(3)-7=1\\15-7=1\\8\neq1[/tex]

This one is also false.

Number 4:

[tex]2x+4=10\\2(3)+4=10\\6+4=10\\10=10[/tex]

This one is true.

Number 5:

[tex]\frac{x}{3}+5=6\\\frac{(3)}{3}+5=6\\1+5=6\\6=6[/tex]

This one is true.

Number 6:

[tex]\frac{9}{x}-1=4\\\frac{9}{(3)}-1=4\\3-1=4\\2\neq4[/tex]

This one is false.


Weekday hours tripled but your budget of $220 for 26
parking hours remain the same. How many weekend hours
can you purchase now that the weekday hours have
increased?

Answers

Answer:

8 weekend hours can now be purchased.

Note: The prior information required is:

You purchase 26 "parking hours" that you can use over the next month to park your food truck at the fair. Weekday hours cost $2/hour and weekend hours cost $10/hour.

Step-by-step explanation:

Initial cost of weekday hours = $2/ hour

Since the cost of the weekday hours is tripled, new cost = $2/ hour × 3 = $6/ hour

Total week hours purchased = 26 hours

Let the number of weekend hours be x; number of weekday hours will be 26 - x

Since the budget remains the same, therefore, the total cost of weekday parking hours and weekend parking hours will be equal to $220as expressed below;

(26 - x) × $6 + $10 × x = $220

$10x - $6x + $156 = $220

$4x = $(220 -156)

x = 64/4

x = 8 hours

Therefore, 8 weekend hours can now be purchased

Help 15 points djdjfjfjfjjgkv

Answers

Step-by-step explanation:

YOUR ANSWER :- B. 45°.......

asap...?

anyone.....?

Answers

Answer:

Kahirap naman nyan

Step-by-step explanation:

Sorry

Answer:

300-70-90=140

Step-by-step explanation:

What is your favorite marvel character?

OR

What is your favorite Percy Jackson character?

10 points!

Answers

Answer:

nico

Step-by-step explanation:

iron man is my favorite marble character

Sohan can do a piece of work in 10 days. He worked at it
for 5 days and then Mohan finished it in 5 days. In how
many days can sohan and morgan work together finish the
work?​

Answers

Answer:

5 days

Step-by-step explanation:

Sohan can do the whole thing in 10 days

he worked 5 days so he did half

and Mohan did the other half in 5 days

so their speeds are same

so if they worked together they'd do it in half the time

i.e 5 days

Tia and Tom are making cupcakes. They need 3/4 a cup of flour and 1/3 cup of butter per batch. If they have 4 1/4 cups of flour and 1 1/2 cups of butter, how many batches can they make?

Answers

Answer:

5

Step-by-step explanation:

can someone please help me with this

Answers

11 donuts i believe :)

please help fast
Find the mistake
a) (x+3)(x+9)= x2+18x+12

Answers

Step-by-step explanation:

Using FOIL:

(x + 3)(x + 9)

= (x)(x) + (x)(9) + (3)(x) + (3)(9)

= x² + 9x + 3x + 27

= x² + 12x + 27.

what is 0.0452 rounded to (in money)

Answers

Answer:

0.05

Step-by-step explanation:

2 does not move 5 up, but 5 moves 4 up to 5, thus making it 0.05.

The answer would be 0.05 because 4 dosnt round

i need help with this i’m really confused

Answers

Answer:

40) 105 miles (mi)

42) 3.2 centimeters (cm)

Step-by-step explanation:

First determine which part of the ratio corresponds to what. Once you have figured that out, divide by the part of the ratio that corresponds to your given part and then multiply that by the other part of the ratio to derive the quantity.

If a:b

Then a × a/b = b, and b × a/b = a.

You can think of : as "to".

For example, you are given a map with a scale ratio of 1 in : 20 mi, this means that for every inch of the map, there is an actual distance of 20 miles.

So in this situation, the left part of the ratio is the length of the map in inches, and the right part of the ratio is the real distance in miles. For x inches of the map, there is 20 x miles of actual distance. Therefore 3.5 inches has an actual distance of 3.5 × 20 miles or 105 miles of actual distance.

For problem 2, you are given a ratio of 1 m : 2 cm, this means that for every 1 meter of the drawing, there is 2 cm of the plant. Therefore if you have 1.6 meter of the map, then you have 1.6 × 2 cm of the plant or 3.2 cm. For both situations the left part of the ratio is 1 which means that you just multiply by the right part of the ratio by which you are given.

(12x - 30) = (2x - 5)​

Answers

Answer:

x = 5/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

12x - 30 = 2x - 5

Step 2: Solve for x

Subtract 2x on both sides:                    10x - 30 = -5Add 30 to both sides:                            10x = 25Divide 10 on both sides:                        x = 5/2

please help me with this​

Answers

Answer and Step-by-step explanation:

1/2x is positive and 2 is negative, so they cross each other perpendicularly, and the equation needs to be at -13 y, 0 x

The answer is y = -2x - 13

#teamtrees #WAP (Water And Plant)

Which of the following values are solutions to the inequality 7 < -2 – 3x?
I. 1
II. 3
III. - 3
None
I only
Submit Answer
II only
III only
I and II
I and III
II and III
O I, II and III
problem 1 out of n

Answers

Answer:

x<-3

Step-by-step explanation:

The given inequality is 7 < -2 – 3x.

We need to solve the inequality.

Adding 2both sides of the inequality.

7 +2 < -2 – 3x +2

9 <-3x

x<-3

So, the value of x should be less than -3.

The graph of g is the graph of translated horizontally 5 units to the right. If f(x) = 3x + 2 , what is the equation of the function g?

Answers

Answer:

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

Step-by-step explanation:

The x coordinates are all shifted to the right, which is the positive direction. Subtracting 5 from the x coordinate is a horizontal right shift.

Find the coordinate of the missing vertex of rectangle ABCD with A(-5,4), B(3,4), and D(-5,-3).

Answers

Answer:

(3 , -3)

Step-by-step explanation:

The missing vertex of rectangle ABCD is C(3, -3).

What are the coordinates?

Coordinates are a collection of numbers that aid in displaying a point's precise location on the coordinate plane.

Given:

ABCD is a rectangle.

And the vertices are A(-5,4), B(3,4), and D(-5,-3).

We know,

the parallel sides of a rectangle are equal.

Plotting coordinates of all the vertex.

We get,

the missing vertex is C(3, -3)

To verify that segments are equal or not:

Now, AB = √{(-5 - 3)² + (4 - 4)²} = √{64} = 8 units

CD = √{(-5 - 3)² + (-3 + 3)²} = √{64} = 8 units.

Therefore, the missing vertex is C(3, -3).

To learn more about the coordinates;

https://brainly.com/question/27749090

#SPJ2

8. Write a multiplication expression
that you can use to find

Answers

Answer:

random equation 8x5

Step-by-step explanation:

I really dont understand

Answer:

You didn't quite finish the question. Please explain the question or else you will be marked by Brainly for giving out the wrong information.

- Thank You,

               Brainly HGF Bot

John bikes 22 km per hour and starts at mile 10. Gymn bikes 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?

Answers

Answer:

Step-by-step explanation:

The following are linear equations for the distance that John has biked (J) and the distance that Gymn has biked (G). These two equations represent the situation being described using the values provided.

J = 22x + 10

G = 28x + 0

In these equations the variable x represents the number of hours each of the bicyclists have biked.

you need a piece of paper to measure 64.25 cm. if u tape two together that each measure 38.4 cm, how much do u need to cut off?

Answers

Answer:

Already answered https://brainly.com/question/369421

Step-by-step explanation:

simplify expression 7yz / -2
A -7/2 z

B-7/2 y

C 7/2 y

D 7/2 z

Answers

Answer:

Are sure the question is correct please

because the answer is not in the objective answers which is - 7/2 yz.

Please check your out again carefully.

HELP MEEEEEE PLEASEEEEEEEEEEEEEEE

Answers

Answer:

If she returns the skis at 3 p.m. she would pay $25. IM NOT SURE ABOUT 3:05 PM

Step-by-step explanation:

Start on the hours rented side. If she rents them at noon you would be at zero. Move to the 3 (in between 2 and 4) then if you go up it hits $25 on the rental cost side.

at 3pm $25

step by step solution

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