Evaluate the geometric series below. Please show your work.

Evaluate The Geometric Series Below. Please Show Your Work.

Answers

Answer 1

Answer:

-1310715

Step-by-step explanation:

By the formula of a geometric sequence, we work out:

[tex]\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715[/tex]


Related Questions

Find the mode 24,22,46,23,20,25,24

Answers

Answer:

24

Step-by-step explanation:

We are given a strand of numbers and are asked to find the mode.

To find mode, we have to see which number appears the most within the number strand, let's start with ordering the numbers from least to greatest.

20, 22, 23, 24, 24, 25, 46

Looking at the strand we see that 24 appears the most, therefore 24 is the mode.

Answer:

24

Step-by-step explanation:

Put the numbers in order.

20, 22, 23, 24, 24, 25, 46

Count how many of each number.

20

22

23

24, 24

25

46

The number that appeared the most is the mode.

24 appeared twice and the other numbers appeared only once.

What is the percent of the shaded portion of the
figure??
60%
80%
20 %
.60%
HELP MEEE PLSSSSSSSS

Answers

60%



((sorry if I got it wrong))

Rewrite the expression 13d - (-9d - 4) without parentheses

Answers

13d-(-9d-4)
Transfer minus sign to all numbers in parenthesis. = 13d +9d +4 =

Answer: 22d+4

Answer:

13d- -9d-4

Step-by-step explanation:

Joey pays $35.85 each month for his new stereo what does he pay each year

Answers

ANSWER
$430.20

STEP BY STEP
there are 12 months in a year so multiply that number by 12.

Hope this helps

Answer:

$430.20

Step-by-step explanation:

35.85 x 12= 430.20

PLZ HELP ME THIS IS 7th GRADE MATH

Answers

Answer:

I am so sorry I dont get it

Answer:

if the scale factor is asking for how much the square was scaled up then it would be 1,938 if its asking for the fraction to be simplified then find the amount it was scaled up it would be 45

Step-by-step explanation:

In the function f(x), x is replaced with 3x.
f(x)=1/2sin(x)−4
What effect does this have on the graph of the function?
A. The graph is vertically stretched by a factor of 1//3.
B. The graph is vertically compressed by a factor of 1/3.
C. The graph is horizontally stretched by a factor of 1/3.
D. The graph is horizontally compressed by a factor of 1/3.

Answers

Just took the test, so the answer is...

D. Horizontally compressed by a factor of 1/3

[tex]f(x)=\frac{1}{2}sin(x)-4[/tex] is horizontally compressed by a factor of 1/3 to get [tex]f(x)=\frac{1}{2}sin(3x)-4[/tex]

Option D is correct

What is horizontal compression?

Note that:

If a function [tex]f(x)=Asin(x)[/tex] is transformed to [tex]g(x)=Asin(kx)[/tex], it means that the function f(x) is horizontally compressed by 1/k

Relating this rule to the given function [tex]f(x)=\frac{1}{2}sin(x)-4[/tex]

If x is replaced with 3x, the function will become:

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

This means that the graph of  [tex]f(x)=\frac{1}{2}sin(x)-4[/tex] is horizontally compressed by a factor of 1/3 to get [tex]f(x)=\frac{1}{2}sin(3x)-4[/tex]

Learn more on horizontal compression of graphs here: https://brainly.com/question/2938738

im stuck on this... martin saw a book he wanted with a price of $32.00 the clerk told him it was on sale for $28.00 what is the precent change for the book?

Answers

Alright, so the book is on sale for 4 dollars right? So do 32/4 and that will be 8, so the percent is 8%

Find the measure of angle x in the figure below:

15 degrees
25 degrees
30 degrees
60 degrees

Answers

Answer:

30°

Step-by-step explanation:

180-75-75=30

seven is more than 2 plus a number,q, can be shown by the inequality 2+q<7. which causes for q make this a true statement.

Answers

Answer:

0 and 4

Step-by-step explanation:

q is a number so 2 + 0 is less than seven

Help quick
I need the answer

Answers

Answer:

Step-by-step explanation:

A. is 65

B. is 78

C. is 37

Answer:

Angle (A) : 65 degree

Angle (B) : 78 degree

Factor the expression -18y-27

Answers

Answer:

-9(2y+3) Tip: Download photo math lol : )

How many cartwheels can Suzy do? :)

Answers

Answer:

100 :)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

what is the percent of change from 100 to 41, please help!! :(

Answers

Answer:

59% decrease

Step-by-step explanation:

Will give brainliest

Answers

Answer:

Trapezoid

Step-by-step explanation:

The two sloped opposite sides are congruent. The two uncongruent opposite sides are parallel. There are no right angles. You can do this by finding the distance and slopes of the lines.

Not triangle because has four vertices.

Can someone help me, please????

Answers

Answer: -12

Step-by-step explanation:

if you'd like to convert a Fahrenheit temperature to an approximate Celsius temperature: Start with the temperature in Fahrenheit

Answer:

-12 degrees

Step-by-step explanation:

Fahrenheit and Celsius

10 degree fahrenheit

What is the celsius?

____________________

Take a look at the picture with the information provided, we see that f is the vertical line while c is the horizontal line. Since we are looking for 10 degree fahrenheit, let's find it on the vertical line. If we look at the red line, when it goes across 10 fahrenheit, the approximate part that it hits celsius is -12 degrees.

Hannah weighed 7.2 pounds at birth. Her weight was recorded at each of her infant doctor visits. The records from her appointments from birth to six months are shown in the table below. 1. Find the line of best fit: 2. Estimate Hannah's weight at her one-year visit:​

Answers

So If Hannah weighed 7.2 lb at birth during the six months that are shown on the table hanna puts on 8.7 during those six months so if we’re estimating what her weight will be at her one year visit

8.7(what she put on during the six months)+ 15.9 (her weight now)= 24.6

Answer: I estimate she will weigh 24.6lb at her one year visit

Hope this helps

A jar contains 93 marbles, of which 32 are blue, 20 are red, and the rest are green. What is the ratio of green marbles to all marbles?​

Answers

Answer: 52:41

Step-by-step explanation:

40 people can sit in four cabs. How many people can sit in 19 such cabs? *

Answers

190 people because 10 in each cab

Answer:

Step-by-step explanation:

190 ppl

40 ppl per 4 cab

10 ppl per cab

10 times 19 cabs = total of ppl

A woman can bicycle 25 miles in the same time as it takes her to walk 5 miles she can ride 10 mph faster than she can walk how fast can she walk?

Answers

Answer:

The woman walks at 2.5 mph.

Bonus: she rides her bicycle at 12.5 mph.

Step-by-step explanation:

We're told that she can bicycle 25 miles in the time takes her to walk 5.  That means that on a bicycle, she moves 25 ÷ 5, or 5 times faster on a bicycle than when she runs.

We're also told that she can ride at 10 mph faster than she can walk.

That gives us two relationships to describe.  If we call her speed on the bicycle "b", and her speed on foot "w", then we know:

b = 5w

and

b = w + 10

Since both of those describe b, we can simply equate them.  Stating the obvious:

b = b

therefore:

5w = w + 10

We can then simplify:

5w = w + 10

4w = 10

w = 2.5

So she walks at 2.5 miles per hour.

We can test that answer too.  Let's compare to the first statement, her bicycling 25 miles in the time it takes to walk five miles.

Walking 2.5 miles per hour means she'd take two hours to walk five miles.

We also know that she can ride 10mph faster, so she rides at 12.5 mph.  two times that is 25, so she would indeed cover 25 miles on her bicycle in the same time that she walks five.

Two years ago,a was valued at $24,000. This year of the car is 23,160. what is the percent decrease in value of the car​

Answers

57777777777# lol 13546

Linda started taking piano lessons. She had to practice 1 3/4 hours each day. If after only 8 days Linda decided she wanted to stop, how many hours did she take lessons

Answers

Answer:

If you mean how many hours did she practice because it didn't say how long her lessons are then the answer is 14 hours

Step-by-step explanation:

1 3/4 = 1.75

8 times 1.75 = 14

help its really urgent

Answers

Answer:

QR and WX are parallel lines. XV and ST or congruent lines. ST, QR, VR, XS, are lines perpendicular to RS.

Step-by-step explanation:

Its self explanatory  (just kidding dont know how to explain)

help as quick as possible

Answers

Answer:

7/2 = 35/10 & 3/5 = 6/10

Step-by-step explanation:

This is very hard to be explained, sorry.

Answer:

The first one:   35/10

Second:   6/10

Step-by-step explanation:

These are the answers because since you are trying to solve to get a denominator of 10, you must multiply both the to and bottom numbers by whatever you need to get the denominator to 10.  For example, for 3/5 you would multiply both the top and bottom numbers by 2, because you nned to multiply the denominator by 2 to get 10.

hey i need some help!​

Answers

Answer:

B im pretty sure

Step-by-step explanation:

Answer:

Movie Rental B is better to buy. It's cheaper by .75 cents.

Step-by-step explanation:

Solving Movie Rental A

To find the unit rate of this one, we divide the dollars and the rentals.

So, 15 ÷ 3 = 5

Unit Rate for Movie Rental A is 5

Solving Movie Rental B

Same as Movie Rental A, divide the dollars and the Rentals.

8.5 ÷ 2 = 4.25

The number with the less amount is cheaper so

4.25 is less than 5

Which ratio is equal to 3:5?
A.
12:25
B.
12:20
cal
15:20
OD.
12:15

Answers

Answer: B

Step-by-step explanation: If you multipley both 3 and 5 by the same number 4 you get the ratio 12:20

Answer:

12:20

Step-by-step explanation:

3:5

12:20

Which one is an equation of the line with a slope of 1/4 and a y-intercept of -2?

Answers

Answer:

x - 4y = 8

Step-by-step explanation:

I know it is right

I NEED HELP PLEEEEEAAAAASSSSSEEEEE!!!!!

Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition?

A.) 2 + x + 3y
B.) (2 + x) + 3y
C.) 2x + (3 + y)
D.) x + (2 + 3y)

Answers

The answer for the problem is letter A
The answer is d to this question is d

A map of a park is created on a coordinate plane. Each until on the map represents 1 kilometer. A tennis court is located at (0, 4). An eating area is located at (-3 -1) A dog is located at (-3, 4).​

Answers

Answer:

Jul 11, 2016 · - Gush Tela, a 54-year-old man who was forced to flee with his family after the town of Humera, located in Ethiopia's Tigray region, was shelled by the Ethiopian Army. He was describing the scene he encountered as he returned to the town several days later; he and his family are now in a refugee camp in Sudan (as quoted on The Guardian )

Step-by-step explanation:

Find the slope given: (-99, 38) & (-99,722)
m =

Answers

Answer:

722-30=y

-99--99=x

(0,692)

I hope this helps, have a nice day :)

Step-by-step explanation:

Rambo-Conduit Corporation manufactures plastic conduit that is used in the cable industry. A conduit is a tube that encircles and protects the underground cable. In the process of making the plastic conduit, called extrusion, the melted plastic (resin) is pressed through a die to form a tube. Scrap is produced in this process. Information from the cost of production reports for three months is as follows, assuming that inventory remains constant:
May June July
Resin pounds input into the process 470,000 700,000 650,000
Price per pound X$1.50 X$1.50 X$1.50
Plastic material costs $493,000 $640,000 $677,000
Conversion costs $80,000 $120,000 $115,000
Conduit output from the process (feet) 800,000 1,200,000 1,130,000
Assuming that there is one-half pound of resin per foot of the finished product, determine the resin materials cost per foot of finished product for June.
a. $0.53
b. $0.60
c. $0.54
d. None of these choices are correct.

Answers

Answer:

The resin materials cost per foot of finished product for June is $0.53

Option a) $0.53 is the right answer

Step-by-step explanation:  

Given the data in the question;

                                                       May                  June                          uly

Resin pounds input

into the process                        470,000            700,000                 650,000  

Price per pound                         X$1.50               X$1.50                    X$1.50

Plastic material costs             $493,000         $640,000                 $677,000

Conversion costs                    $80,000           $120,000                 $115,000

Conduit output from

the process (feet)                   800,000           1,200,000                 1,130,000

Assuming that there is one-half pound of resin per foot of the finished product, determine the resin materials cost per foot of finished product for June.

Now;  

Materials cost for June = $640,000

Number of Feet produced as output in June =  1,200,000    

so

Material Cost per feet of finished product will be;

= $640,000 / 1,200,000

= $0.5333 ≈ $0.53

Therefore, the resin materials cost per foot of finished product for June is $0.53

Option a) $0.53 is the right answer

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