An infinite geometric series contains consecutive terms 262.4, 209.92, 167.963 and the sum is 1640. What is the first term?​

Answers

Answer 1

Answer:

328

Step-by-step explanation:

[tex]\frac{a}{1-r}[/tex] is the equation for the sum of an infinite geometric series, where [tex]a[/tex] is the first term of the infinite geometric series, and r is the common ratio between the terms. Here, we can find the common ratio between any consecutive terms. [tex]\frac{209.92}{262.4} = \frac{4}{5}[/tex]

Therefore, [tex]\frac{a}{1-\frac{4}{5}} = 1640[/tex].

This simplifies to [tex]5a = 1640[/tex]

Therefore, [tex]a = 328[/tex]


Related Questions

simplify this surd expression

Answers

4 square root 6. 4 on the outside 6 in the inside :)

Answer:

4√6

Step-by-step explanation:

A gallon of fresh squeezed orange juice at Piggly Wiggly Supermarket costs $2.70. Below are the costs of orange juice at other supermarkets. Which of the following has the same unit rate for orange juice as Piggly Wiggly? Select all that apply.

❏ Supermarket A: 2 gallons of orange juice for $5.40.
❏ Supermarket B: 2.25 gallons of orange juice for $6.30.
❏ Supermarket C: 1.25 gallons of orange juice for $3.38.
❏ Supermarket D: 1.5 gallons of orange juice for $4.43.
❏ Supermarket E: 0.75 gallons of orange juice for $2.03.

Answers

Answer:

5.40 is one correct answer, 3.38 is a correct answer, and 2.30 is correct I hope this helped!!

Step-by-step explanation:

You would just divide the price to the amount of whatever youre solvong for unit prices like the gallons.

Answer:5.40

Step-by-step explanation:

Increase £89 by 61% round it to two dp

Answers

Answer:

143.29

Step-by-step explanation:

[tex]\frac{14329}{100}[/tex]

[tex]\frac{14329}{100}[/tex]

<3 Red

Help pleaseeee. I’m a little dumb

Answers

Answer:

18

Step-by-step explanation:

PEMDAS (order of operation)

4 dived by 2 is 2

2times 5 is 10

10+8 is 18

Wilson paints 40% of a bookcase in 20 minutes.

How much more time will it take him to finish the bookcase?

Answers

Answer:

30 minutes

Step-by-step explanation:

The percentage rises up by 40% every 20 minutes and if we divide that in half he paints 20% in 10 minutes. Wilson needs to paint 60% more of the bookcase. 40% plus 20% is 60%. So we just add 20 with 10 to get 30 minutes.

A factory made 357,945 baseball bats over the last 2 years. During that time, the factory made 490,867 little league baseballs and 389,839 major league baseballs. How many more baseballs than bats were manufactured during the 2 years? Liliana's answer to this question is below. Her teacher says her answer is not reasonable. Look over her work before answering (a) and (b).

Answers

Answer:

522,761 baseballs

Step-by-step explanation:

Number of baseball bats produced over the last 2 years = 357, 945

Number of little league baseballs produced over the last 2 years = 490,867

Number of major league baseballs produced over the last 2 years = 389,839

Total number of baseballs produced over the period = 490,867 + 389,839

                                                                                         = 880,706

Number of baseballs manufactured more than bats = 880,706 - 357945

                                                                                      = 522,761

There are 522,761 baseballs produced more than bats during the 2 years.

x=6×3×2.5/262
please solve this question so fast​

Answers

Answer: 0.17 or not rounded, 0.17175572519.

Step-by-step explanation: 6 x 3 x 2.5 = 45, now we just need to divide 45 by 262, so 45/262 = 0.17175572519, or rounded, 0.17.

Hope this helps! :)

x^2 + 49= 0. help me plz will name brainlyest if right!

Answers

Answer:  x = 7 i ,− 7 i

Step-by-step explanation:

Urgent!!

Use the model to solve for x.

Answers

answer: x=8

turn the picture into numbers

Find the missing values in the ratio table. Then write the equivalent ratios.

Burgers: 3, () , 9
Hot Dogs: 5, 10, ()

Equivalent ratios are: ()

Note, the ‘()’ is indicating the missing values needing to be filled.

Answers

Answer:

60 3 948 3

Step-by-step explanation:

im just diffrent

The required ratio for the burger is 3;6:9 and the ratio for the hot dog is 5:10:15.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.


Here,
Let the missing ratio in Burger be x and the ratio in the Hot dogs be y,
Now,
According to the question,
3 / 5 = x / 10
x = 6
Now,
x / 10 = 9  / y
Substitute the value of x,
6 / 10 = 9 / y
y = 90 / 6
y = 15

Thus, the required ratio for the burger is 3;6:9 and the ratio for the hot dog is 5:10:15.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

A sports club offers an organized basketball league. A team pays $600 to join their league. In addition to paying their share of the $600, people on the team that are not members of the sports club must pay a $25 fee to play. A team pays a total of $775. How many people on the team are not club members?

Answers

Answer:

5

Step-by-step explanation:

600-775=125

25x5=125

Answer:7 team members

Step-by-step explanation:think of money... 25 cents times 4 is a dollar. So that means count from 600 by 25 until you get to 775

The science club and the French club both ordered pizzas for their end-of-year banquets. After the banquets, the science club had 1 1/4 pizzas leftover and the French club had 2 5/24 pizzas leftover. Between the two clubs, how many total pizzas were leftover?
A. 23/24

B. 1 1/4

C. 3 1/4

D. 3 11/24

Answers

Answer:

A. 23/24

Hope this helped

Step-by-step explanation:

Answer:

A. 23/24

Step-by-step explanation:

plato users

| 2 +r | ≥ 3 (lines are absolute value)

Answers

Answer:

r ≤ -5 and r ≥ 1

Step-by-step explanation:

The solution has two parts:

1) that derived from | 2 +r | ≥ 3 when (2 + r) is already positive.  Then:

                   2 + r ≥ 3, or r ≥ 1

and

that derived from | 2 +r | ≥ 3 when (2 + r) is negative.  If (2 + r) is negative, then

|(2 + r)| = -(2 + r) = -2 -r, which is ≥ 3.  Therefore, -2 -r ≥ 3, or -r ≥ 5.  To solve this for r, divide both sides by -1 and reverse the direction of the inequality sign:  r ≤ -5

Help me out thank you an please

Answers

I am pretty sure it’s A

Anyone have an answer?

Answers

Answer:

39

Step-by-step explanation:

Select the correct answer. A baseball is hit from an initial height of 3 feet and reaches a maximum height of 403 feet. Which function could be used to model this situation, where is the height, in feet, after t seconds?

Answers

Answer:

ΔS = 1/2gt²

Step-by-step explanation:

Given

Initial height of the ball = 3 feet

Maximum height of the  ball = 403 feet

To get the function that best suits the situation after t seconds, we will use the equation of motion;

ΔS = ut + 1/2gt²

ΔS is the change in height

u is the initial velocity of the body = 0m/s

g is the acceleration due to gravity = 9.81m/s²

t is the time taken for the ball to reach its maximum height.

ΔS = 403-3

ΔS = 400ft

Substituting the given values into the formula;

ΔS = ut + 1/2gt²

400 = 0 + 1/2(9.81)t²

400 = 4.905t²

t² = 400/4.905

t² = 81.55

t = √81.55

t = 9.03secs

The situation that best model the situation is ΔS = ut + 1/2gt²

ΔS = 0 + 1/2gt²

ΔS = 1/2gt²

What is the area of the arrow please help !!!!!

Answers

Answer:

111 sq centimeters

Step-by-step explanation:

add 20+20+8+8+20+20+15= 111 Sq centimeters

Max and a friend took part in a cross-country bike trip. The trip started at 9:00 a.m. The table shows how far they traveled from the starting point each hour until they reached their destination at 1:00 p.m.

Choose the best type of graph to represent the data in the chart below.
Then, make the graph.

Answers

Answer:

Please see the attached diagram which shows the data presented as a distance time graph

Step-by-step explanation:

The given time and distance traveled table can be presented as follows;

Time [tex]{}[/tex]                      Distance travelled from starting point

9:00 AM [tex]{}[/tex]                       0 km

10:00 AM [tex]{}[/tex]                     15 km

11:00 AM [tex]{}[/tex]                      25 km

12:00 PM [tex]{}[/tex]                      35 km

1:00 PM [tex]{}[/tex]                        40 km

Therefore, the best type of graph to represent the data is a scatter plot with straight lines that also show the locations of the points on the graph, presented in the form distance time a distance time graph as shown in the attached diagram

write each fraction in simplest form

Answers

your answer would be 1/3

Answer:

1/3 or -1/3

Step-by-step explanation:

Given f(x) = (2 - x)}, what is the value of f(18)?

Answers

x=18
(2-18)
f(18)= -16

What is 7(x + 3) please help meeeee PLEASE IM RUNNING OUT OF TIME

Answers

Answer:

The answer is 7x+21

The answer would be 7x+21
7 • x = 7x and 7 • 3 =21

Solve for x and y please ASAP it is urgent, please give a logical explanation, will rate highly and award brainliest.

-7x+5y=-8
9x-8y=15

Answers

Answer is (-1,-3)
Step by step explanation:
Solving for x:
-7x+5y=-8
Multiply both side’s by 8
-56x+40y=-64

9x-8y=15
Multiply both sides by 5
45x-40y=75

Subtract
-56x+40y=-64
45x-40y=75
-11x=11
-11x/-11 = 11/-11
x=1

Substitute -1 for x to get y
-7(-1)+5y=-8
Multiply 7 and -1
7+5y=-8
Then subtract 7 from both sides
5y=-15
Then divide both sides by 5
Y=-3

Complete the sentence.
A regular pentagon and a regular hexagon can intersect in
a line
a ray
a line segment
a rectangle
Submit

Answers

Answer:

A line segment

Step-by-step explanation:

Help me ASAP jdksjdkksod

Answers

Got this online.LCM(725, 349920) = 50738400
Greatest Common Divisor (GCD) Method Steps:

GCD(725, 349920) = 5

LCM =
725 × 349920
5
= 50738400

Prime Factorization Method Steps:

Prime factorization of the numbers:

725 = 5 × 5 × 29
349920 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5

LCM(725, 349920)
= 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 29
= 50738400

Evaluate the following expression when x=14. X^2+5x+11

Answers

Answer:

277

Step-by-step explanation:

14^2+5(14)+11=

196+70+11=

277

Start by substituting 14 in for x everywhere that x appears in the problem.

So we have (14)² + 5(14) + 11.

Remember that PEMDAS tells you to deal

with your exponents before multiplying.

So you must square the 14 to get 196.

So we have 196 + 5(14) + 11.

Now multiply 5(14) to get 70.

So we have 196 + 70 + 11.

Now we can simply add to get 277.

2y = 1/4

find the value of y

Answers

Answer:

0.125

Step-by-step explanation:

2 * 0.125 = 0.25 (or 1/4)

Answer:

0.125

Step-by-step explanation:

I think not really good at it

Flight Distances
Chicago O'Hare is a busy international airport. The map shows the flight distance from
Chicago O'Hare to several cities. Lee conjectured the flight distance from Chicago to
Istanbul is the same as the flight distance from Chicago to Sao Paulo when the distances
are rounded to the nearest thousand.
To Beijing
5,784 miles
5,784 miles
S
6,579 miles
Chicago, Illinois
Istanbul, Turkey
Beijing, China
5,252 miles
Sao Paulo, Brazil
4. Construct Arguments Describe at least one way you could
construct an argument justifying Lee's conjecture.​

Answers

Answer:

4. Given that the distance from one place to another are placed in ranges of a thousand, then the distances from Sao Paulo to Chicago Illinois which is 5,252 miles and from Chicago Illinois to Istanbul Turkey which is 5,784 miles will be in the same 5,000 kilometer distance range and both distances will taken as the same distance

The same situation can also be arrived at by rounding down both distances

Step-by-step explanation:

The given information are;

The flight distances given;

From Sao Paulo to Chicago Illinois = 5,252 miles

From Chicago Illinois to Istanbul Turkey = 5,784 miles

From Beijing China to Chicago Illinois = 6,579 miles

Lees conjectured the flight distance from Chicago to Istanbul is the same as the flight distance from Chicago Sao Paulo when the distances are rounded to the nearest thousand

Placing the distances in ranges of 1000, we have the 5,252 miles and the 5,784 miles will be in the same 5,000 to 5,999 miles range.

5 m 7 cm + 1m =
please help my and be sure to like❤❤

Answers

Answer:

6.07 meters

Step-by-step explanation:

9(m - 3) + 3m = 7m + 43​

Answers

Answer:

m=14

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

M=14

Step-by-step explanation:

So distribute first

9m-27+3m=7m+43

Combine like Terms

12m-27=7m+43

Subtract 7m on both Sides

5m-27=43

Add 27 on both sides

5m=70

Iso,ate variable by dividing 5 on both sides

m=14

What is the sum of (49p2 – 25) + (16p4 - 32p2 + 16)?

Answers

Answer:

98p-9

Step-by-step explanation:

sorry don't know to explain

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