help please, what is sum of the geometric series E6(4)k-1

Help Please, What Is Sum Of The Geometric Series E6(4)k-1

Answers

Answer 1

Answer:

              2,046      

Step-by-step explanation:

[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=6\left(4\right)^{1-1}+6\left(4\right)^{2-1}+6\left(4\right)^{3-1}+6\left(4\right)^{4-1}+6\left(4\right)^{5-1}=\\\\\\=6\cdot4^0+6\cdot4^1+6\cdot4^2+6\cdot4^3+6\cdot4^4=6+24+96+384+1536=\\\\=2,046[/tex]

or:

is geometric series:  [tex]S_n=\dfrac{a_1(1-q^n)}{1-q}[/tex]

[tex]a_n=a_1\cdot q^{n-1}\quad\implies\quad\begin{cases}a_1=6\\q=4\\n=5\end{cases}[/tex]

so:

[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=S_5=\dfrac{6(1-4^5)}{1-4}=\dfrac{6(1-1,024)}{-3}=-2(-1,023)=2,046[/tex]

Answer 2

Answer:

B

Step-by-step explanation:

Edge2021


Related Questions

Which figure has a greater volume and by how much?
3 cm
3 cm
5 cm
5 cm
8 cm
6 cm
15 cm
15 cm
Figure 1
Figure 2
The volume of figure 1 is 45 cm greater than the volume of figure 2.
The volume of figure 2 is 45 cm greater than the volume of figure 1.
The volume of fioure 1 is 10mg areater than the volume of figure 2

Answers

Answer:

Step-by-step explanation:

The volume of figure 1 is 45 cm greater than the volume of figure 2.

The volume of figure 2 is 45 cm greater than the volume of figure 1.

The volume of fioure 1 is 10mg areater than the volume of figure 2

Which phrase best describes the figure?

A- concave nonagon
B- convex octagon
C- convex nonagon
D- concave octagon

Answers

Answer:

Hi there!

The correct answer is: B. Convex Octagon

Step-by-step explanation:

The figure first classifies as an octagon because it has 8 sides.

Next you can tell whether or not it is concave or convex by remembering: concave has a "cave" in it.

Concave or Convex

A convex octagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°. When any internal angle is greater than 180° it is concave.

The given figure is convex octagon. Therefore, option B is the correct answer.

What is octagon?

An octagon can be defined as a polygon with eight sides, eight interior angles, and eight vertices. When all the sides and angles of an octagon are equal in measurement, it is called a regular octagon.

Every polygon is either convex or concave. Convex octagons bulge outwards, whereas concave octagons have indentations (a deep recess). Convex octagons are those in which all the angles point outwards. A regular octagon is an example of a convex octagon. The octagon in which at least one of its angles points inwards is a concave octagon.

In the given figure, there are 8 sides and 8 angles.

Therefore, option B is the correct answer.

Learn more about the octagon here:

https://brainly.com/question/16543440.

#SPJ7

this table shows values that represent an exponential function.what is the average rate of change for this function for the interval from x=1 to x=3

Answers

Answer: -4

Step-by-step explanation:

Rewrite this expression using fewer terms.
3(x - 2) + 4(x - 2) – 5(x - 2)

Answers

Answer:

2x−4

Step-by-step explanation:

Simplify.

Distribute:

=(3)(x)+(3)(−2)+(4)(x)+(4)(−2)+(−5)(x)+(−5)(−2)

=3x+−6+4x+−8+−5x+10

Combine Like Terms:

=3x+−6+4x+−8+−5x+10

=(3x+4x+−5x)+(−6+−8+10)

=2x+−4

Cheers! :)

PS: I got a question worth 30 POINTS ANYONE WANT TO ANSWER?

Hey!!

Solution,

3(x-2)+4(x-2)-5(x-2)

= 3x-6+4x-8-5x+10

= 3x+4x-5x-6-8+10

= 7x-5x-14+10

= 2x-4

=2(x-2)

hope it helps..

Please !!!!!! Help me

Answers

Answer:

a. 1 b. 3/5 or 60%

Step-by-step explanation:

number of favourable events/number of total events

3x/5x = 3/5

Please help ASAP Very easy !!!!

Answers

Answer:

Brainleist is to be given to me!

Step-by-step explanation:

-2/3

its between -1 and 0 but is closer to -1

the only choises are -1/3 and -2/3 but its closer to -1 so it must be -2/3

What is the answer of 135=-9x+9?

Answers

Answer:

x=-14

Step-by-step explanation:

move all the terms that don't  contain x to the right side and solve.

(idk if this is correct but i hope it helps)

Answer:

Please mark me brainliest and I hope this helped!

X = -14

Step-by-step explanation:

First, we want to isolate the variable. So we subtract 9 from both sides and that gives us 126= -9. Now we divide both sides by -9. That gives us -14=x. So the answer is:

x = -14

some teachers traveled to school by car the table shows the number of teachers in the cars a) what was the modal number of teachers in a car b) what was the median number of teachers in a car c) what was the mean number of teachers in a car

Answers

Answer:

Step-by-step explanation:

since it is asking for the modal that means the most so it would be 3 teachers, and when asking the median we have to change the order so it would be 2,3,4,6 and we find the middle so it would be 3.5, and the mean is the total of the numbers divided by how many numbers there are so it would 2+6+4+3=

15/10 = 1.5

A mean is an arithmetic average of a set of observations. The model number, median, and mean of the number of teachers in a car are 3, 3, and 2.46667, respectively.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The given table can be written in the data form as 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4.

A.) The modal number is the mode of a given data set. Therefore, the mode of the given data set is 3.

B.) The median is the middle number of a given data set. Therefore, the median is 3.

C.) The mean is the average number of teachers in a car. Therefore, the mean is,

Mean = (1+1+1+2+2+2+2+3+3+3+3+3+3+4+4)/15 = 37/15 = 2.46667

Hence, the model number, median and the mean of the number of teachers in a car is 3, 3, and 2.46667, respectively.

Learn more about Mean:

https://brainly.com/question/16967035

#SPJ2

Vlad tried to solve an equation step by step.
Find Vlad's Mistake.

Answers

Answer:

I think that it’s correct

Step-by-step explanation:

Answer:

Vlad did not make a mistake

Step-by-step explanation:

Khan academy 7th grade inequalities quiz 2 and unit test

It takes 93 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed?

Answers

Answer:

It takes 9.3 acres to plant per pound of seed.

Step-by-step explanation:

[tex]93 \div 10[/tex]

[tex]9.3[/tex]

4−2(x−5)=x−19? Help

Answers

Answer:

x=11

Step-by-step explanation:

Start by distributing:

4-2(x-5)= x-19

4-2x+10= x-19

Add 19 and 2x to both sides (the -19 and -2x will turn into 0)

4+10+19= 2x+x

Add 4+10+19

33= 3x

Divide by 3

x=11

Katie sewed costumes for the high school's annual play. She spent the following number of hours on each dress. What is the mean number of hours spent on each dress? 5 1/4 4 1/2 3 3/4 4

Answers

About 2.91 hours rounded

Answer:

round down to 2.9 if to 1dp

Step-by-step explanation:

A football player runs 10.7 m/s toward the end zone. If he runs for 3.7
seconds how far does he get?

Answers

Answer:

39.59

Step-by-step explanation:

The perimeter of the pentagon is 34 inches. Find the length of the side that is unknown. Explain your thinking.

Answers

Answer: side = 6.8 inches

Step-by-step explanation:

Side of pentagon = perimeter/5

= 34/5 = 6.8

Write y = 2/3 x+ 7 in standard form using integers.

Answers

Answer:

Step-by-step explanation:

y=2/3 x+7

multiply by 3

3y=2x+21

2x-3y+21=0

or 2x-3y=-21

do complementary angles form straight angles?

Answers

Answer: no

Explanation: Complementary angles form a right angle (L shape) and have a sum of 90 degrees.

Help pure people pls get brainliest

Answers

Answer:

hi there!

The correct answer is: 5

Step-by-step explanation:

The distance formula: [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]

and since the two points given are: (2,1) and (5,5)

you plug in the points and you get: 5

[tex]\sqrt{(2-5)^{2} + (1-5)^{2} }[/tex]

[tex]\sqrt{(-3)^{2} + (-4)^{2} }[/tex]

[tex]\sqrt{9+16}[/tex]

[tex]\sqrt{25 } = 5[/tex]

Answer:

The correct answer is five

Step-by-step explanation:

The slope is 4/3 and since  the distance can be found by creating a triangle we can just assume it is 5 because of Pythagorean triples

please help asap. I will award

Answers

Answer:

12

Step-by-step explanation:

hope this helps! :)

D is the answer hope that helps you

Can someone please help

Answers

The answer is B) Translation, Congruent

If a patient needs 30 days supply of tablet two tablets four times a day how many tablets with a patient need for discharge

Answers

Answer:

Total number of tablets needs to discharge = 240 tables

Step-by-step explanation:

Given:

Number of days tablet need = 30 days

Number of times per days need = 4 times

Number of tablet per time = 2 tablet

Find:

Total number of tablets needs to discharge = ?

Computation:

⇒ Total number of tablets needs to discharge = Number of days tablet need × Number of times per days need × Number of tablet per time

⇒ Total number of tablets needs to discharge = 30 × 4 × 2

Total number of tablets needs to discharge = 240 tables

X-11 < 36
Answer here

Answers

Answer: x< 57

Step-by-step explanation:

x -11 < 36    Add 11 to both sides.

  +11    +11

x < 47

57 I think I hope this helps

Help!
MJ Supply distributes bags of dog food to pet stores. Its markup rate is 28%. Which equation represents the new price of a bag, y, given an original price, p? Select all that apply. *
A) y = 0.72p
B) y = p + 0.72p
C) y = 1.28p
D) y = p + .28p
E) y=1.28p
F) y = 1 + .28p

Answers

Answer: it’s C.

Step-by-step explanation:

The equation that represents the new price of a bag is y = 1.28p.

Markup rate is the ratio of the difference between the selling price and cost price to the cost price. It is given by:

Markup rate = (selling price - cost price)/cost price

Given that y is the selling price, p is the cost price and the markup rate is 28%, hence:

28% = (y- p)/p

y-p = 0.28p

y = 1.28p

Hence the equation that represents the new price of a bag is y = 1.28p.

Find out more at: https://brainly.com/question/23106860

please help me with 4 more questions ill give brainliest plesase!!

Answers

Answer:

(- 1, - 1 )

Step-by-step explanation:

Since the dilatation is centred at the origin, then multiply the coordinates of the original point by the scale factor, that is

(- 3, - 3 ) → ([tex]\frac{1}{3}[/tex] × - 3, [tex]\frac{1}{3}[/tex] × - 3 ) → (- 1, - 1 )

Please please, I need help with this question ASAP.....

Answers

We want to compare averages.  From the histogram we have we don't know the exact mean, but if we just assume the average in each bin is the midpoint of the bin we can make an estimate.

Supplier A has

mean = ( 22(64) + 27(66) + 26(68) + 15(70) + 10(72) )/(22+27+26+15+10)

mean = 6728/100 = 67.28 grams

Supplier B has mean 66.5

Answer: Choose Supplier A

(work shown above)

WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 + i 7 + i . First, multiply both the numerator and denominator by . The product in the numerator is + i. The product in the denominator is

Answers

Answer:

-2 + i

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

5

Step-by-step explanation:

(-3+i)/ (7+i)

Multiply by the complex conjugate

(-3+i)/ (7+i)  * (7-i)/(7-i)

Numerator

(-3+i)(7-i) = -21 +7i +3i -i^2 = -21 +10 i - (-1) = -21 +10i +1 =-20+10i

Denominator

(7+i)(7-i) = 49 +7i-7i - i^2 = 49 - (-1) = 49+1=50

Numerator over denominator

-20 + 10i

-----------

50

Divide by 10

-2 + i

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

5

Answer:

(-2 + i) / 5

Step-by-step explanation:

(-3 + i)/(7 + i)= (-3 + i)(7 - i) / (7 + i)(7 - i)= (-21 + 3i + 7i - i²) / (49 - i²)= (-21 + 1 + 10i) / (49 + 1) =(- 20 + 10i) / 50 =(-2 + i) / 5

First, multiply both the numerator and denominator by =  7 - i

The product in the numerator is

- 2 + i

The product in the denominator is

5

What would be the cost for 5 of the gift cards?

Answers

Answer:100 is the answer

Step-by-step explanation: your going up 20 every dot my G

Answer:

$100

Step-by-step explanation:

Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and
Row 1 the y-values. What effect does switching the variables have on?
Row 1
20
21
37
48
56
Row 2
63
72
177
158
164
171
129
186
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values.
= 206 (Round to three decimal places as needed.)
134
Calculate the correlation coefficient r, letting Row 2 represent the x-values and Row 1 the y-values.
- (Round to three decimal places as needed.)

Answers

Answer:

A.) r = -0.3669

B.) r = -0.3669

C.) there is no change in the value of r

Step-by-step explanation:

Row 1 : 20, 21, 37, 48, 56, 63, 72

Row 2: 177, 158, 164, 171, 129, 186, 134

A.) Taking Row 1 values as X. And row 2 values as Y.

Regression equation using the correlation Coefficient calculator :

r = -0.3669

B) Taking Row 1 values as Y. And row 2 values as Y.

Regression equation using the correlation Coefficient calculator :

r = -0.3669

C.) the correlation does not change.

Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores
88%, 73%, 97%, 76%, 90%, 80%
Which measure of center would best represent Ari's grade?

Answers

Answer:

The mean

Step-by-step explanation:

Answer:

the answer is option a) the mean

Step-by-step explanation:

Find the measurement of the inscribed angle CDB indicated below

Answers

Answer:

∠ CDB = 45°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of its intercepted arc.

∠ CDB = 0.5 × BC = 0.5 × 90° = 45°

Lucy's parents built a swimming pool in the backyard. Use 3.14 for .
40 ft
20 ft
What is the distance around the pool? The distance around the pool is 131.47 feet.
What is the area of the pool?
Can someone please help

Answers

Area = l x w = 40 x 20

= 800 sq ft.

Other Questions
Read the sentence from Alexander's paper. When asked if she was loyal enough to become a secret agent, Keysha answered in the affirmative. In which revised sentence did Alexander change the underlined word to use it as an noun? Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour? A. $3.00 B. $6.00 C. $9.00 D. $12.00 I need help ASAP I shall give brainlyist (idk how to spell) Which is the best example of the secondary source document useful in the study of history Why do elderly persons often develop bowed back and appear to lose height? A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?O y=-4x + 5O y = 4x-5O 2y = 8x - 100 -2y = -8x - 10 Explain the reasoning behind her statement, That is not a man. That is a toothless rat How do you solve the inequality 2x-3 1. Read the passage. Then answer the question. The Road Not Taken by Robert Frost Two roads diverged in a yellow wood, And sorry I could not travel both And be one traveler, long I stood And looked down one as far as I could To where it bent in the undergrowth; Then took the other, as just as fair, And having perhaps the better claim, Because it was grassy and wanted wear; Though as for that the passing there Had worn them really about the same, And both that morning equally lay In leaves no step had trodden black. Oh, I kept the first for another day! Yet knowing how way leads on to way, I doubted if I should ever come back. I shall be telling this with a sigh Somewhere ages and ages hence: Two roads diverged in a wood, and I I took the one less traveled by, And that has made all the difference. What is a theme of The Road Not Taken? How does the writer develop the theme? Write at least two paragraphs in which you trace the development of the theme of the poem and analyze how specific details shape the theme. Use evidence from the text to support your response. Your response should be two or three complete paragraphs. A white tail deer can sprint at speeds up to 30 mph American bison can run at speeds up to 3520 ft./min. which animal is faster and by how many miles per hour The following data shows prices of meal options at Bob's Burgers. Bobwants to construct a histogram from this graph. Prices of Meal Options atBob's Burgers: $6, $7, $7, $8,$9,$10, $10, $11, $11, $12,$12, $13, $13, $13,$13,$14, $14, $14, $15, $15, $15, $15, $16, $16, $17. How many meals couldbelong in the interval $10.99 - $13.99? * what is evolutionary mechanism?pls help>-< Jeremy analyses one of his parachute jumps. He draws a graph showing his velocity up to the opening of his parachute. a) Estimate Jeremy's acceleration at t = 10s to 1 decimal place. b) Estimate his average speed for this part of the jump. Give your answer to two significant figures. I NEED HELP PLEASE, THANKS! :)Explain the process of sublimation. Name one substance that sublimes at room temperature and pressure. . Analyze how the author supports the CLAIM that "gettingmarried didn't solve their problems; it only created new ones. Bartel Corporation produces bar stools for restaurants. 1. For each of the following, indicate whether the cost would typically be considered direct or indirect cost for the cost object given.A. Lubricants used on the bar stool manufacturing equipment.B. The factory supervisor's salary for the bar stool factory.C. The production labor wages for the bar stool assemblers.D. Nails and screws used in the production of the bar stools.E. Manufacturing costs for wood and steel used in the bar stools.2. For each of the following, indicate whether the cost would typically be considered product or period cost for the cost object given.A. Electricity costs to run the factory.B. Accountant salaries.C. Selling costs for the period.D. Delivery costs to take the bicycles to stores.E. Tires for the bicycles. FIND P(NOT 6) WHEN YOU ROLL A STANDARD NUMBER CUBE THEN DESCRIBE THE LIKELIHOOD OF THE EVENT WRITE IMPOSSIBLE ,UNLIKELY , EQUALLY LIKELY , LIKLEY OR CERAIN In a particular region, for families with a combined income of $75,000 or more, 15% of these families have no children, 35% of the families have one child, 45% have two children, and 5% have three children. Use this information to construct the probability distribution for X, where x represents the number of children per family for this income group. Arrange x in increasing order and write the probabilities P(x) as decimals What are the coordinates of the image of the point (2, 6) under a dilation with a center of (0, 0) and a scale factor of 1/2 ? A. (0, 0) B. (1, 3) C. (2, 6) D. (4, 12) Management is considering using a new component that would increase the unit variable cost by $50. Since the new component would improve the company's product, the marketing manager predicts that monthly sales would increase by 500 units. What should be the overall effect on the company's monthly net operating income of this change if fixed expenses are unaffected