HELP SOON!!
What is sum of the geometric series 5 sigma k-1 6(4)^4-1?
(picture attached)

HELP SOON!!What Is Sum Of The Geometric Series 5 Sigma K-1 6(4)^4-1?(picture Attached)

Answers

Answer 1

Answer:

the answer is 2,046...

Answer 2

∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is   2046

What is a geometric series ?

The sum of an infinite number of terms that are in constant ratios.

From the given data

∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is                                     (here k is replaced with

                                                                                                                 n)                                              

6(4)ⁿ⁻¹ for n=1 is

=6(4)¹⁻¹

=6(4)⁰

= 1

6(4)ⁿ⁻¹ for n=2 is

=6(4)²⁻¹

=6(4)¹

=24

6(4)ⁿ⁻¹ for n=3 is

=6(4)³⁻¹

=6(4)²

=6(16)

=96

6(4)ⁿ⁻¹ for n=4 is

=6(4)⁴⁻¹

=6(4)³

=6(64)

384

6(4)ⁿ⁻¹ for n=5 is

=6(4)⁵⁻¹

=6(4)⁴

=6(256)

=1536

∴∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is    

6 + 24 + 96 + 384 + 1536

=2046

Learn more about Geometric series here :

https://brainly.com/question/4617980

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Related Questions

a T-shirt increased in price by 1/7 after the increase it was a priced at £56. what was the original price?​

Answers

Answer: £48

Explanation: divide £56 by 7. each of the seven parts is equal to £8. Subtract £8 from £56 and the original price is £48.

For every 1/4 kilometre of a walkathon a walker drank a bottle of water. How much water did the walker drink after walking 3 kilometres?

Answers

Answer:

12 bottles of water.

Step-by-step explanation:

Since each walker drinks a bottle of water every 1/4 kilometre, we know that one walker drinks 4 bottles of water every kilometre since 4/4 = 1. We are trying to find how much water they drank after walking 3 kilometres, so we would multiply 3 by 4 getting us an answer of 12.

A spherical exercise ball has a maximum diameter of 30 inches when filled with air. The ball was completely empty at the start, and an electric air pump is filling it with air at the rate of 1600 cubic Inches per minute. The formula for the volume of a sphere is 4pi (r^3/3)

Part A Enter an equation for the amount of air still needed to fill the ball to its maximum volume, y, with respect to the number of minutes the pump has been pumping air into the ball, X.

Part B Enter the total amount of air, in cubic inches, still needed to fill the ball after the pump has been running for 4 minutes.

Part C Enter the estimated number of minutes it takes to pump up the ball to its maximum volume.

Answers

Answer:

A) A(t)  =  4500*π  -  1600*t

B) A(4)  =  7730 in³

C) t  =  8,8 sec

Step-by-step explanation:

The volume of the sphere is:

d max  =  30   r max  =  15 in

V(s) =  (4/3)*π*r³      V(s)  =   (4/3)*π* (15)³

V(s) = 4500*π

A)  Amount of air needed to fill the ball A(t)

A(t)  = Total max. volume of the sphere - rate of flux of air * time

A(t)  =  4500*π  -  1600*t    in³

B) After 4 minutes

A(4)  =  4500*π  - 6400

A(4)  =  14130 - 6400

A(4)  =  7730 in³

C)  A(t)  =  4500*π  -  1600*t  

when  A(t) = 0   the ball got its maximum volume then:

4500*π -  1600*t  =  0

t  =   14130/1600

t  =  8,8 sec

Find the common difference of the arithmetic sequence -16 -13 -10

Answers

Answer:

3

Step-by-step explanation:

-16+3= -13

-13+3= -10

the next number would be -7

Put the following equation of a line into slope-intercept form, simplifying all
fractions.

18y – 3.x = -90

Answers

Answer:

The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of x when y = 0).

In this question:

[tex]18y - 3x = -90[/tex]

Isolating y:

[tex]18y = 3x - 90[/tex]

[tex]y = \frac{3x}{18} - \frac{90}{18}[/tex]

Simplifying the fractions:

[tex]y = \frac{x}{6} - 5[/tex]

The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]

Kendra started making jewelry to sell. She spent $12 for supplies to make four bracelets. She will sell the
bracelets for $5 each. If each bracelet takes two hours to make, how much money will Kendra earn per
hour?

Answers

Answer:

$1

Step-by-step explanation:

4 x 5 = 20

20 - 12 = 8

4 x 2 = 8

8/8=1

THE Roger manages an ice cream stand. He keeps track of how many minutes each customer stands in line. Wait Times (in minutes 1.5 13 5 ET Roger wants to organize the data to make a line plot. Drag the numbers to show the frequency for each wait time Numbers may be used more than once. 4 || 5 Frequency 21 Hi Next >​

Answers

Answer:

0.5 = 2

0.75 = 2

1.0 = 3

1.25 = 4

1.5 = 5

2.0 = 2

2.25 = 1

2.5 = 1

The cost of cleaning up pollution in a stream is given by C = 37000 100−p, where C is the cost in dollars to clean p percent of the stream. Find and interpret C(20)

Answers

Answer:

$462.5

Step-by-step explanation:

Given the cost function expressed as;

C = 37000/100−p

To get C(20), we will substitute p = 20 into the expression and get C as shown;

C(20) = 37000/100-20

C(20) = 37000/80

C(20) = 462.5

Hence the cost needed to clean 20% of the stream is $462.5

Consider the equation 5 – 3(2x – 7) = 12 – 5(x – 2). Is x = 2 a solution to this
equation? Is x = 4 a solution to this equation? Explain your reasoning in each case

Answers

Answer:

see below

Step-by-step explanation:

5 – 3(2x – 7) = 12 – 5(x – 2)

Substitute x=2

5 – 3(2*2 – 7) = 12 – 5(2 – 2)

5 – 3(-3) = 12 – 5(0)

5 - 3*(-3) = 12

5+9 = 12

14=12

This is false so it is not a solution

5 – 3(2x – 7) = 12 – 5(x – 2)

Substitute x=5

5 – 3(2*4 – 7) = 12 – 5(4 – 2)

5 – 3(8-7) = 12 – 5(2)

5 - 3*1 = 12-10

5-3 = 2

2=2

This is true so it is  a solution

find the radian measure of the angle 55°​

Answers

Answer:

[tex]55 degree= \frac{\pi }{180}\times55=\frac{11\pi }{36} =0.9599 radians[/tex]

Step-by-step explanation:

[tex]180 degree= \pi radian\\1 degree= \frac{\pi }{180}\\55 degree= \frac{\pi }{180}\times55=\frac{11\pi }{36} =0.9599 radians[/tex]

Mr. Assan had 492 tickets left after the movie. He started with 2,009 tickets. How many tickets did Mr. Assan sell?

Answers

Answer:

1,517

Step-by-step explanation:

2,009 - 492 = 1,517

2,009-492=1,575
He started out with 2,009 he had 492 left over so subtract that from the amount he started out with and you get the answer

brainliest for answer

Answers

4/15 !! hope it helps loll

PLEASE HELP DUE IN 2 HOURS AND EXPLAIN STEP BY STEP SO I CAN EASILY UNDERSTAND PLEASE ​

Answers

They are vertical angles meaning they both have the same angle thus you can set the two equations equal to each other

9y+7 = 2y+28

Solve for y

Plug your y into one of the equations and you’ll get your angle

the perimeter of a rectangle is 90m. The length is three less than five times the width. What is the length and the width of the rectangle?

Answers

Answer:

length : 37 m

width : 8 m

Step-by-step explanation:

perimeter = 2×l(ength) + 2×w(idth) = 90

l = 5w - 3

=> 2×(5w-3) + 2w = 90

10w - 6 + 2w = 90

12w = 96

w = 8

=> l = 5w - 3 = 5×8 -3 = 40-3 = 37

What are the equation and slope of the line shown on the grid ?

F y = 6; slope is zero
G x = 6; slope is zero
H y = 6; slope is 6
J x = 6; slope is undefined

Answers

Answer:

The answer is J x= 6; slope is undefined

Step-by-step explanation:

iTS undefined because it's a line

The answer is J

The reason the line is unidentified is because it is going straight up and the slope is unable to be determined.

The women athletes in the BIG10 Schools have a long-term graduation rate of 73%. Over the past several years, a random sample of 23 women showed that 19 graduated. Does this indicate that the population proportion of women athletes who graduate from the BIG10 is now more than 73%

Answers

Answer:

This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%

Step-by-step explanation:

Here,  

The null hypothesis is p = 0.73

Alternate hypothesis is p> 0.73

The level of significance = 0.10 or 10%

Sample size = 23

Sample proportion = 19/23 = 0.826

Z test statistics  

= (p’-p)/Sqrt ((p(1-p)/n))

Substituting the given values, we get –  

Z = (0.826-0.73)/Sqrt ((0.73(1-0.73)/23)) = 1.037

Thus, the P values for Z>1.037  

= 1- P(Z less than or equal to 1.037)

= 1- 0.8501

= 0.150

P-value  is greater than the  level of significance

We will accept the null hypothesis

This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%

substract 8 times the sum of a and b from 9y​

Answers

Answer:

Step-by-step explanation:

according to the question ur equation is

9y-8(a+b)

9y-8a-8b

the variables thoo , that’s difficult

SOMEBODY PLEASE HELP I NEED THIS ASAP

Answers

Answer:

a = 1000 cm²

Step-by-step explanation:

Center square

20 * 20 = 400cm²

------------------------

Triangle side

a = (1/2)(20)(15)

a = 150

There are 4 sides

a = 4 * 150

a = 600 cm²

-----------------------

Total area

a = 400 - 600

a = 1000 cm²

6. A store orders 8 boxes of notebooks.
There are 144 notebooks in each box
Use breaking apart to find how many
notebooks the store ordered.

Answers

Answer: 1,152 notebooks

Step-by-step explanation:

You just do 144 x 8. I’m not really sure what they mean when they say use breaking apart method. Maybe break them up into 8 group of 144. Then just add 144 together 8 times instead of multiplying hope this helps. :)

What is the equivalent to 2 to the 4th power

Answers

Answer:

4 to the 2nd power is the equivalent to 2 to the 4th power

Step-by-step explanation:

2⁴ = 16 = 4²

Answer:

16

Step-by-step explanation:

2*2*2*2= 16

4. The price of a motorbike is Gh 1,500.00. How much do you save if you we given a discount of 15%

Answers

Answer:

GH 225.00

Step-by-step explanation:

15% of 1500

(15÷100) × 1500

0.15×1500

225

What is the meaning of amplitude and period in math?

Answers

Answer:

See below

Step-by-step explanation:

For a wave function, the amplitude is the distance from the maximum or minimum of the function to the midline. The period is the length of which the wave cycle repeats (for example y=sinx has a period of 2pi).

Answer:

Amplitude is the height from the mean, or rest,value of the function to its maximum or minimum . ...The period is the distance required for the function to complete one full cycle. For the sin function, the amplitude is given by and the period is defined as. The same is true for a cosine function.

Step-by-step explanation:

hope it is helpful to you

[tex]nisha[/tex]

PLEASE HELP I WILL GIVE BRAINILEST which question shows The function Y equals 2^X translated four units left and two units down a y-2=2^x-4. b y+4=2^x-2. c y-4=2^x +2. d y+2 =2^x+4

Answers

the answer is b. y+4=2^x-2

What are the distance between the pair of points E(-5,4) and F(6, 4)

Answers

Answer:

The distance is 11 units.

Step-by-step explanation:

First you look at the difference between the x values and then you look at the distance between the y values. Since the x values here are -5, and 6 then you count the distance between -5 and 6. This would be 11 since 6 is 6 units away from 0 and -5 is 5 units away from 0. Since the y values are the same then the distance will just be the distance between the x values.

extend pattern 1,4,9​

Answers

Answer:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100......

Step-by-step explanation:

This is a list of perfect squares.

1 is the square of 1. ( 1 x 1 = 2)

4 is the square of 2. (2 x 2 = 4)

9 is the square of 3. (3 x 3 = 9)

So, the next number would be the square of 4 which is 16 ( 4 x 4)

And so on.

Find the missing side. X is the hypotenuse 12 and 5 are the legs

Answers

Answer:

10.9

Step-by-step explanation:

Given that,

Hypotenuse = 12

One leg = 5

We need to find the another leg. Let it is b. We can solve it using Pythagoras theorem as follows :

[tex]H^2=h^2+b^2\\\\b^2=H^2-h^2\\\\b^2=12^2-5^2\\\\b=10.9[/tex]

So, another leg is 10.9.

Find the area and the circumference of a circle with diameter 10 m.

Write your answers in terms of pi, and be sure to include the correct units in your answers.

Answers

Step-by-step explanation:

area of a circle= πr²

and r= half diameter

therefore we have r=10/2=5

area= 5² x π

area= 25π

circumference=2πr

circumference= 2xπx5

circumference=10π

% of 400,000 = 100,000

Answers

Answer:

25%

Step-by-step explanation:

100,000/400,000 x 100

= 1/4 x 100

= 25%

Hence, 100,000 is 25% of 400,000

Feel free to mark this as brainliest :D

Answer:

x/100 x 400,000 = 100,000

x100                            x100

400,000x = 10,000,000

Divide by 400,000 on both sides:

X = 25%


HELP ASAPPPP!!!!You are making a picture frame in the craft cabin at summer camp. The frame measures 9 inches by 12
inches. You measure the diagonal and it is 17 inches Is the frame rectangular? Explain your reasoning.

Answers

Answer:

yes

Step-by-step explanation:

euhm ... did u just asked if a figure with h=9inches and b=12inches is rectangular???

Does it matter what the diagonals are etc?

if the frame has angles of 90° and it has two different lengths then it has to be rectangular. The sides of a square would have the same lengths.

The British government conducts regular surveys of household spending. The average weekly household spending on tobacco products and alcoholic beverages for each of 11 regions in Great Britain are recorded. A scatterplot of spending on tobacco versus spending on alcohol is given below: What is the most plausible value for the correlation between spending on tobacco and spending on alcohol

Answers

Answer:

Great Britain we’re colonizers

Step-by-step explanation:

Answer:

C) 0.08

Step-by-step explanation:

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