PLEASE HELP!
In 2-3 sentences describe why the only way an infinite geometric series has a sum is if |r| < 1.

Answers

Answer 1
the term r^n will equal to zero because and number < 1 that is raise to the power infinity the answer is zero that is why in a infinite geometric series, sum = a / 1 - r.
hope this helps

Related Questions

PLZ HELP WILL MARK BRAINLEST

A cylinder has a height of 8 feet and a volume of 628 cubic feet. Find the radius of the cylinder. Use 3.14 for π. Show your work. equation v= 3.14 ( ) ( ) ( )

Answers

Answer:

5ft

Step-by-step explanation:

r = √v/πh

plug in known values

r= √628/ (3.14) 8

simplify

r= √628/ 25.12

r= √25

r = 5ft

A bus left Suva at 7.30am and arrived in Tavua at 11.00am. It covered a
distance of 350km. Fin the speed of the bus.​

Answers

Answer:

100 km/hr

Step-by-step explanation:

11:00 a.m. less 7:30 a.m. works out to 3:30 hours (3 hours 30 minutes).

Then the speed of the bus was

 350 km

--------------- = 100 km/hr, or about 62.5 mph

  3.5 hrs

Answer:

100 km/hr

Step-by-step explanation:

Givens

T = 11:00 - 7:30

T = 3  hours 30 minutes

T = 3 1/2 hours

t = 3.5 hours

d = 350 km

Formula

d = v * t

Solution

350 km = v * 3.5           Divide by 3.5

350 km / 3.5 hours = v

350 / 3.5 = v

v = 100 km/hour

Farrah works in a jewelry store and receives 12% commission when she makes a sale. How much commission will she receive for selling a $7,475 ring?

Answers

Answer:

$897

Step-by-step explanation:

12/100x7475/1=897

Find the area. Simplify your answer.

Answers

Answer:

Area = 6x - 6

Step-by-step explanation:

Given:

Height = 2x - 2

Base = 6

Required:

Area

Solution:

Area of triangle = ½*b*h

Area of the triangle = ½*6*(2x - 2)

Area = 3(2x - 2)

Apply distributive property

Area = 6x - 6

Mark the relations that ARE functions
{(2,5) (-3, 4) (0,1)}
{(1,1) (2,1) (0, 1) (-8, 1)}
{(3, -2) (9, 1) (3, 5) (9, 3)}
{( 2,5) (0, 3) (-1, 1) (7, 13)}

Answers

Answer:

first

second

fourth

Step-by-step explanation:

one domain must only one range

Which is equivalent to 99.5(50)?

Answers

Answer:

49.75 i think

Step-by-step explanation:

Exercise 4
3
2.5% = 50
2 * = 0,125
Solve the following equations:
1 3* = 81
2
5Y - 15 = 0
5
5x + 1 = 1
16* = 8
9.
1
9
4
8.
101 - x = 0,01
2(5)* = 54
(3)
5Y - 0,2 = 0
12
7 (-3)* = 1
11
5-2 = 25
10
107
Unit 3: Calculations with exponents​

Answers

Answer:

Is there some sort of sheet or pdf you can include on the question?

Step-by-step explanation:

Ms. McClain conducted an experiment

with a 6-sided number cube. The table

shows the number of times each number

landed:

(I'll give brainlist)

Answers

Answer:  1

Step-by-step explanation:

Experimental probability is the actual result you get from an experement.

Theoretical probability is the change that you will get that result.

(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)

therefore,

1/6 is the Theoretical probability because you are using a six-sided number cube.

for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.

1/6 equals 8/48.

therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.

6 is not one of the answer choices listed so 1 must be your answer.

 

Help! I NEED THIS DONE BY 8:50

Answers

The answer is 28°

Since the sum of all angles of a triangle is 180°
Then 23°+129°+x=180°
So 23°+129°= 152°

So, 152°+x=180°

Now to find x, you will take 152 to the other side of the equal sign so it will become

X= 180°-152°
X=28°

Answer:

x = 28

Step-by-step explanation:

Properties of a triangle:

Triangles have 3 sidesThe sum of a triangle's interior angles will always be equal to 180°.

Because we need the value of the triangle's interior angle, use the following formula to solve for x:

180 - x - y = zSince x and y are given, solve for z.180 - 129 - 23 = z28 = zz is the missing value, so for your problem, z is x.x = 28

A trap for insects is in the shape of a triangular prism. The area of the base is 45 in and the height of the
prism is 7 in. What is the volume of this trap?
Help ASAP

Answers

Answer:

The volume is 315

______________

PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex] R = \frac {3ST}{2S + T} [/tex]

Step-by-step explanation:

Given the equation;

[tex] \frac {3}{R} - \frac {1}{S} = \frac {2}{T} [/tex]

Rearranging the equation, we have;

[tex] \frac {3}{R} = \frac {2}{T} + \frac {1}{S} [/tex]

Lowest common multiple (LCM) of S and T is ST.

[tex] \frac {3}{R} = \frac {2S + T}{ST} [/tex]

Cross-multiplying, we have;

[tex] 3ST = R(2S + T) [/tex]

Making R, the subject of formula;

[tex] R = \frac {3ST}{2S + T} [/tex]

PLEASE I NEED HELP FAST ITS THE LAST QUESTION AND I DONT KNOW HOW TO SOLVE IT
A storage unit in the shape of a rectangular prism is 9 feet tall and 4 1/4 feet wide. the length of the storage until is twice the width. which measurement is closest to the volume of the storage until in cubic feet?

Answers

Answer:

9 x 4 1/4 x 8 1/2 = 325 1/8 cubic feet.

4 1/4 x 2 = 8 1/2

A family buys 4 airline tickets online. The family buys travel insurance that costs $16 per ticket. The
total cost is $680. Let x represent the price of one ticket. Write an equation for the total cost. Then find
the price of one ticket.
Which equation represents this situation?
O A. 680 = 4(x + 16)
OB. 680 = 4x + 16
OC. 16 = 4x + 680
OD. 680 = 16(x + 4)
The price of one ticket is $1.
!NEEDED ASAP!

Answers

Answer:

B

x is representing the price of one ticket in which the tickets bought was four.so therefore (x+x+x+x+16)=680

4x + 16 =680

George boughr 30 packs of football cards there were 14 cards in each pack how many cards did George buy?

Answers

Answer:

420

Step-by-step explanation:

funny real funny

Which is less expensive, riding every ride once or buying the one day pass?
GREAT MOUNTAIN PARK
$20.25
One Day Pass
Mountain Coaster
Tilt a Loop
Water Slide
Fast Drop
Swing a Ling
Merry Go Round
$4.50
$4.75
$4.00
$3.50
$2.75
$2.50

Answers

Answer:

The one day pass is less expensive.

Step-by-step explanation:

Add all of the rides (just use a calculator) and its 22 which is more than the pass.

A random sample of 388 married couples found that 294 had two or more personality preferences in common. In another random sample of 566 married couples, it was found that only 38 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common.

Answers

Solution :

Given :

[tex]$n_1=388$[/tex] , [tex]$x_1 = 294, \ n_2 = 566, \ x_2 = 38$[/tex]

Sample proportion, [tex]$(\hat p_1)=\frac{x_1}{n_1}$[/tex]

                                        [tex]$=\frac{294}{388}$[/tex]

                                       = 0.7577

Sample proportion, [tex]$(\hat p_2)=\frac{x_2}{n_2}$[/tex]

                                        [tex]$=\frac{38}{566}$[/tex]

                                       = 0.0671

For 95 % CI, z = 1.96

The confidence interval for the population proportion,

[tex]$p_1-p_2=(\hat p_1-\hat p_2)\pm z \left\{\sqrt{\frac{\hat p_1 \times (1- \hat p_1)}{n_1}+\frac{\hat p_2 \times (1- \hat p_2)}{n_2}}\right\}$[/tex]

           [tex]$=(0.7577-0.0671)\pm 1.96 \left\{\sqrt{\frac{0.7577 \times (1- 0.7577)}{388}+\frac{0.0671 \times (1- 0.0671)}{566}}\right\}$[/tex]

[tex]$=0.6906 \pm 1.96 \times \left 0.0241$[/tex]

= [tex]$0.6906 \pm 0.0472 $[/tex]

Lower limit : 0.6906 - 0.0472 = 0.6434

Upper limit : 0.6906 + 0.0472 = 0.7378

The measure of arc AB is °.

The measure of angle AOB is °.

The measure of angle BDA is °.

Answers

Answer:

50,50,25

Step-by-step explanation:

Answer:

50,50.25

Step-by-step explanation:

Which of the following statements is (are) correct?
I. At 6% interest, the present value of $400 for the first year, $600 for the second year, and $800 for the third year is $1,603.
II. The future value of the following mixed cash flow stream (if it is from an annuity due at 6% interest) $400 for the first year, $600 for the second year, and $800 for the third year is $1,999 (rounded).

Answers

Answer:

None OF THE STATEMENTS ARE CORRECT

Step-by-step explanation:

Present value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

Cash flow in year 1 = $400

Cash flow in year 2 = $600

Cash flow in year 3 = $800

I = 6%

PV = 1,583.05

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

1583.05 x (1.06)^3 = $1885.44

None of the statements are correct based on the above calculations

To find the PV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

One equation in a system isy = 2x - 4. Which equation gives the system no solution?

y = 2x - 4

y = -2x + 4

y = 2x + 9

y = 14x - 4

Answers

Answer:

number 3 will be right

Step-by-step explanation:

The correct statement is : y=2x+9

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: The linear equation is y=2x-4

Now the equation y=2x+9

equating both linear equations are

2x-4=2x+9

-4=9 which is not possible

Thus the incorrect equation that gives no solution is y=2x+9

Learn more about linear equations here:

https://brainly.com/question/29739212

#SPJ6

calcular el perímetro de una cancha cuyos lados mide 15×20​

Answers

Answer: el perímetro es 300

Step-by-step explanation:

int) A group of 10 hunters wait for ducks to fly by. When a flock of ducks flies overhead, the hunters all fire at the same time, each selecting a target at random and independently of the others. If each hunter independently hits his target with probability 0.4, and if all misses do not hit other ducks, what is the expected number of ducks that will be hit

Answers

Answer:

The expected number of ducks that will be hit is 4.

Step-by-step explanation:

For each hunter, there are only two possible outcomes. Either they hit a duck, or they do not. The probability of a hunter hitting a ducks is independent of any other hunter. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

A group of 10 hunters wait for ducks to fly by.

This means that [tex]n = 10[/tex]

Each hunter independently hits his target with probability 0.4

This means that [tex]p = 0.4[/tex]

What is the expected number of ducks that will be hit?

[tex]E(X) = np = 10*0.4 = 4[/tex]

The expected number of ducks that will be hit is 4.

if cathy myra and eva all take 2.0 h to walk from their house to their school at a rate of 1.0 m/s how far is their school from the house​

Answers

7200 m away. Plz give brainliest!

A rectangle has a perimeter of 66 inches. The length is 5 inches longer than the width. What is the length of the rectangle?
A.19 in
B.14 in
C.30.5 in
D.28 in

Answers

Answer:

I think that it is A. 19

Step-by-step explanation:

I think it is A. because 19x2=38. 19-5=14, 14x2=28. 28+38=66.

P=66

L=19

W=14

Sorry if I'm wrong.


What is the area???

Answers

Answer:

0.833333333 or 83/100 mi squared

Step-by-step explanation:

a = b x h / 2

Answer:

0.333

Step-by-step explanation:

What type of triangle is shown in the figure?
A
Equilateral
À
-y + 23
Obtuse
Right
B
C
Scalene
бу +2

Answers

Answer:

A equilateral

Step-by-step explanation:

hey, its equilateral because all sides of the triangle are the same length

It is the first one..

this as well, pleasee!!!

Answers

The inner circle circumference is 18 and the outer is 4

Answer:

the big one has a circumstance of 2*pi*9=56.52

the small one 2*pi*7=43.96

difference = 12.56= 4pi

This lesson asked you to investigate what it means for data to fall within 1, 2, and 3 standard deviations from the mean in a variety of normal distribution curves. Imagine that you hold a position on your city council and are in charge of creating new programs to benefit members of your community. In some cases, you must also decide which parts of the population are eligible for enrollment in a given program. How might the concept of standard deviations from the mean be interpreted in your decisions? For example, is it fair to make most programs only available to populations within 1 standard deviation from the mean? Can you imagine cases where you might want to create new programs for people who fall toward the extreme ends of the distribution? Give your opinion as well as some examples. ​

Answers

Answer:

The data in statistics is generally supposed to deviate or vary from the mean. Standard deviations of 1, 2, and 3 are commonly used to calculate variability according to the empirical norm. In a normal distribution, we estimate 68 percent, 95 percent, and 98 percent of the data to be within 1, 2, and 3 standard deviations of the mean, respectively. This implies that the given percentage of data will lie within an interval of less than or greater than the standard deviation. If the values within a given standard deviation from the mean are standardized, the z value will always be equal to or less than the given standard deviation.

We should look at a program that aims to help people get out of poverty by using the standard deviation principle. The aim of the program is to provide free seeds to poor people who have been suffering from low yields due to the use of local seeds. If we use the definition of one standard deviation of the mean, or 2 and 3, we will favor the majority of people, but we will leave the poorest people in society behind.

Fill in the missing numbers in these equations
a.- 2⋅(- 4.5) = ?
b.(- 8.7)⋅(- 10) = ?
c.(- 7)⋅? = 14
d.?⋅(- 10) = 90

Answers

-9
87
-2
-9
Use calculator
Just remember when you multiply 2 negative numbers that they will equal a positive number. A negative multiplied by a positive number will equal a negative number.

between which two numbers would you place √40 on a number line

Answers

Answer:

between 6 and 7

Step-by-step explanation:

The square root of 40 is about 6.32, so this number belongs between 6 and 7 on a number line.

comparing box plots
i will give brainliest

Answers

Answer:

what graded are you in

Step-by-step explanation:

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