If the sequence 36, 24, 16, ... is geometric, find S5. PLEASE I NEED HELP W THIS!!

Answers

Answer 1

Answer:

This is a sequence of geometric and for 5 it will be 4.74

Step-by-step explanation:

36,24,16,7.11, and 4.74

Just divided by 1.5 and you will see

Hope this Helped

Answer 2


108
Explanation:
In any geometric series, we need two pieces of information to find its sum to the
n
-th term, and thus the sum to infinity.
Firstly, we need the first term,
a
. This is obviously
36
in this expression.
Secondly, we need the common ratio,
r
,. We find this by taking 24/36 =2/3
Thus a =36 and r =2/3 . also note that
(R) =2/3 <1

We then apply the formula for sum of geometric series to the
n -th term when (r) <1 : Sn =a(1 -rn ) / 1-r = 36 ( 1 - (2/3 ) n) / 1 -(2/3)
=108 (1 -(2/3) n)
The sum to infinity s ♾ is defined to be the limit of sn as n - ♾
N- ♾,(2/3) n -0.sn -108 -0 =108
S ♾ =108


Related Questions

PLS HELP!!

Solve for a side in right triangles

BC = ???

round your answer to the nearest hundredth

Answers

Answer:

39 centimeters

Step-by-step explanation:

I am very sorry if I'm wrong! ✿✿✿

Prolly wrong but I tried

HELP I NEED HELP ASAP

The function f(t)=1,500,000(0.885)^t models the population of a small country after t years. Which statement is true?

A. The population is growing at a rate of 88.5%
B. The population is declining at a rate of 11.5%
C. The population is declining at a rate of 88.5%
D. The population is growing at a rate of 11.5%

Answers

Answer:

B. The population is declining at a rate of 11.5%

Step-by-step explanation:

if your graph the equation you will clearly see that it is declining and if you don't know how to graph the equation then go to the demos calculator, its an app & website, super easy to use. most people would assume the answer would be one of the 88.5% just because it's in the original equation but the .885 in the equation doesn't represent the rate of change there for the answer is 11.5%.

A water tank holds 1,088 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds
1,360 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of
water in the two tanks be the same?
The amount of water in the two tanks will be the same in
weeks.

Answers

The first tank hold 1088 - 5t gallons of water after t weeks, while the seocnd tank holds 1360 - 9t gallons after t weeks.

Both tanks hold the same amount of water when

1088 - 5t = 1360 - 9t

Solve for t :

4t = 272

t = 68

So the tanks will hold the same amount of water after 68 weeks.

5xy4 25x2y 5x2y2 What is the greatest common factor (GCF) of the monomials shown above?

Answers

Answer:

5xy

Step-by-step explanation:

I'm going out on a limb and assuming exponents.

[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]

We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.

PLEASE HELP ME WITH THIS I WILL MARK BRAINLIEST

Answers

Answer:

a=60

Step-by-step explanation:

all you do is add 90+135+75 which is 300

then subtract 300 from 360, which is 60

360-(90+135+75)=60

Mrs. Hanson has a potato salad recipe that calls for 238 pounds of potatoes, but she wants to make 112 times as much as the recipe calls for.

The diagram represents the number of pounds of potatoes that Mrs. Hanson needs.

How many pounds of potatoes does Mrs. Hanson need?

Enter your answer as a mixed number in simplest form by filling in the boxes. please hurry dont say what to add or mutply say the answer i am on k12

Answers

Answer:

3 9/16 lbs

Step-by-step explanation:

took quiz

Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?

Answers

Answer:

Step-by-step explanation:

Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?

Let us represent

Number of apples = x

Number of pears = y

Number of oranges = z

Given that

3 apples and 4 pears cost $1.95

3x + 4y = 1.95

4 pears and 1 orange cost $1.60

4y + z = 1.60

z = 1.60 - 4y

1 orange and 3 apples cost $1.15

z + 3x = 1.15

z = 1.15 - 3x

what is the cost of 1 apple?


The compound interest on a sum of money in
2 years and 4 years are Rs 5,460 and Rs 12,066.60
respectively. Find the difference between principal
and compound interest of 3 years.​

Answers

Answer:

The difference between the principal and the compound interest in three years is Rs 17,994

Step-by-step explanation:

The compound interest is given according to the following formula;

[tex]C.I. = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n\cdot t} - P[/tex]

The given amount of the compound after 2 years = Rs 5,460

The given amount of the compound after 4 years = Rs 12,066.60

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P[/tex]...(1)

[tex]12,066.60 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{4} - P[/tex] ...(2)

Dividing equation (2) by (1), we have;

[tex]\dfrac{12,066.60}{5,460} = \dfrac{P \cdot \left ( \left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1\right )}{P \cdot \left (\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 \right ) } =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 }[/tex]

[tex]Let \ \left ( 1 + \dfrac{r}{100} \right ) ^{2} = x, we \ get;[/tex]

[tex]\dfrac{12,066.60}{5,460} =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 } = \dfrac{x^2 - 1}{x - 1}[/tex]

∴ 12,066.60 × (x - 1) = 5,460 × (x² - 1) = 5,460 × (x - 1) ×(x + 1)

∴ 12,066.60 × (x - 1)/(x - 1) = 5,460 × (x + 1)

12,066.60/5,460 = x + 1

x =  12,066.60/5,460 - 1 = 1.21 = 121/100

x = 121/100

[tex]\left ( 1 + \dfrac{r}{100} \right ) ^{2} = x = \dfrac{121}{100}[/tex]

[tex]1 + \dfrac{r}{100} =\sqrt{ \dfrac{121}{100}} = \dfrac{11}{10}[/tex]

We get

[tex]\dfrac{12,066.60}{5,460} =\dfrac{221}{100}[/tex]

[tex]\therefore \dfrac{12,066.60}{5,460} =\dfrac{221}{100} = \left ( 1 + \dfrac{r}{100} \right ) ^{2}[/tex]

[tex]1 + \dfrac{r}{100} = \sqrt{ \dfrac{221}{100} } = \dfrac{\sqrt{221} }{10}[/tex]

[tex]\dfrac{r}{100} = \dfrac{\sqrt{221} }{10} - 1[/tex]

[tex]\dfrac{r}{100} = \dfrac{11}{10} - 1 = \dfrac{1}{10} = 0.1[/tex]

r = 100 × 0.1 = 10%

r = 10%

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P = P \times \left ( 1 + 0.1\right ) ^{2} - P[/tex]

[tex]5,460 = P \times \left ( 1 + 0.1\right ) ^{2} - P = P \times \left (\left ( 1 + 0.1\right ) ^{2} - 1\right) = P \times \dfrac{21}{100}[/tex]

[tex]P = \dfrac{100}{21} \times 5,460 = 26,000[/tex]

The principal = Rs. 26,000

The compound interest in 3 years is therefore;

[tex]CI_3 = 26,000 \times \left ( 1 + \dfrac{10}{100} \right ) ^{3} - 26,000= 8606[/tex]

The difference, 'd', between the principal and the compound interest in three years, is given as follows;

d = P - CI₃

d = 26,600 - 8606 = 17994

The difference between the principal and the compound interest in three years, d = Rs 17,994.

1. Write a rule for the transformation performed if Q(3 , 5) translates to Q’( 3, 18).


2. Consider the point Q(4,-3) which is translated to (3,2). What would the pre-image of P(1, 2) be under the same translation?


Function Notation.

Find the range values (y-values) for function f(x)=2x^2-4 when the domain (x-value) is (-2,0,1)

f(-2)=2(-2)^2-4= ?


f(0)=2(0)^2-4= ?


f(1)=2(1)^2-4= ?

Answers

Answer:

1. vertical translation (the point goes straight up)

2. P'(0,7) (the translation was up five units and over 1 unit)

3. f(-2)=2(-2)^2-4= (all y values are 4) (0,4)

f(0)=2(0)^2-4= (all y values are -4) (0,-4)

f(1)=2(1)^2-4= (all y values are -2) (0,-2)

What are the intercepts of the graphed function?


x-intercept = (0, –1) y-intercept = (0, –3)

x-intercept = (0, –1) y-intercept = (–3, 0)

x-intercept = (–1, 0) y-intercept = (0, –3)

x-intercept = (–1, 0) y-intercept = (–3, 0) Oops! The y-intercept was incorrect!

Answers

Answer:

The first option.

Step-by-step explanation:

Find the unknown side length x. Write your answer in simplest radical form

Answers

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 30² = 50²

x² + 900 = 2500 ( subtract 900 from both sides )

x² = 1600 ( take the square root of both sides )

x = [tex]\sqrt{1600}[/tex] = 40 → B

triangle ABD~ triangle DBC the perimeter of triangle ABD=36, fond the perimeter of triangle DBC.

Answers

Answer:

Perimeter of ΔDBC = 48 units

Step-by-step explanation:

It's given in he question,

ΔABD ~ ΔDBC

Therefore, by the definition of similar triangles,

Corresponding sides of both the triangle will be proportional.

[tex]\frac{AB}{DB}= \frac{BD}{BC}= \frac{AD}{DC}[/tex]

[tex]\frac{9}{12}= \frac{12}{16}= \frac{AD}{DC}[/tex]

[tex]\frac{3}{4}=\frac{AD}{DC}[/tex]

AD = [tex]\frac{3}{4}DC[/tex] ----------(1)

Since, perimeter of ΔABD = 36,

AB + BD + AD = 36

9 + 12 + AD = 36

AD = 36 - 21

AD = 15

From equation (1),

15 = [tex]\frac{3}{4}(DC)[/tex]

DC = 20

Perimeter of ΔDBC = DB + BC + DC

                                = 12 + 16 + 20

                                = 48

Therefore, perimeter of ΔDBC = 48 units is the answer.

PLS HELP ASAP I MEAN ASAP PLS

Answers

Answer:

(B). - 3 ≤ x < 1

Step-by-step explanation:

[tex]\frac{\sqrt{x+3} }{\sqrt{1-x} }[/tex]

Given expression is defined for

1). x + 3 ≥ 0 ⇒ x ≥ - 3

and

2). 1 - x > 0 ⇒ x < 1

- 3 ≤ x < 1

What is the value of the expression 11 - (34.48?
1) 3
O2) 5
O 3) 8
4) 9

Answers

Answer:

-23.48

Step-by-step explanation:

Hoped this helped!!

Math Teacher is giving extra credit to who ever can come up with the best theme for his kids birthday party!!!
I will give a Branliest!
Has To Be A Movie!!!!

You can choose

A. Hunger Games

B. Men in Black

C. Classic Horror Movies

D. Jurassic Park


OR!!

Awnser With your own suggestion!!!!!!!

Answers

Step-by-step explanation:

i think it is sponge Bob square pants

What is m/3= -1.5 what is m???

Answers

Answer:

-4.5

Step-by-step explanation:

M would be -4.5 because if you multiply -1.5 by 3 you get -4.5. Therefore the equation would be -4.5/3= -1.5 .

Hope this helps :))

School A has graduated 1,700 students and graduates
50 students every year. School B has graduated 600
students, but graduates 150 every year. How many years (Y)
will it be before School B has as many graduates as School A?

Answers

Answer:

the answer is 11 years

Step-by-step explanation:

if school A is graduated 50/years,

the graduated in 11 years is 550

added of graduated 1,700 in 550 is 2,250

if school B is graduated 150/years,

the graduated in 11 years is 1650

added of graduated 600 in 1650 is 2,250

so School A and B is to be equal in 11 years

in a 5th grade class, 9/10nof the students like going to the movies. Of those students 4/5 like popcorn. Of the students that like popcorn, 2/3 of them also like candy. what fraction of the students class like popcorn at the movies? What faction lf the students in class like popcorn and candy at the movies?

Answers

Answer:

48%

Step-by-step explanation:

9/10 of the students like going to the movies.

4/5 of 9/10 is 72/100 or 72%.

2/3 of 72 is 48.

So, 48% of the students like popcorn, candy, and going to the movies.

YALL WHAT IS THE ANGLE OF C
65
65

Answers

Answer:

A,G

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

Mark ordered gummy bears and caramels for his candy shop. He ordered a total of twenty five pounds of there ingredients. Gummy bears cost $5 per pound, and caramels cost $8 per pound. He spent a total of $140.

A. Write a system of equations that describes the situation. Define each variable you use.

B. Solve the system of equations from part A using the substitution or elimination method. Write your solution using a complete sentence. Is the solution reasonable? Why or why not?

Answers

Answer:

20 pounds of Gummyballs and 5 pounds of caramel was ordered

Step-by-step explanation:

Let :

Gummyball = a

Caramel = b

a + b = 25 - - - (1)

5a + 8b = 140 - - - (2)

From (1)

a = 25 - b

Put into (2)

5(25 - b) + 8b = 140

125 - 5b + 8b = 140

125 + 3b = 140

3b = 15

b = 5

From a = 25 - b

a = 25 - 5

a = 20

Hence,

20 pounds of Gummyballs and 5 pounds of caramel was ordered

Find the scale factor of the small triangle to the large triangle.

Answers

Answer:

scale factor is: 2.25

Step-by-step explanation:

Which pair of numbers has a sum of 100?

( A) 39,61

(B) 49,61

(C) 59, 51

(D) 39,51

Answers

Answer:

a

Step-by-step explanation:

 39+61 is the only pair that make 100.

if anyone is able to help please do :)

Answers

Answer:

49.12?

Step-by-step explanation:

half circle= 4 squared *3.14/2=25.12

triangle=pythagorean theorem to find h=8. 8*6/2= 24

25.12+24=49.12

Chloe earned a grade of 87% on her multiple choice math final that had a total of 200
problems. How many problems on the final exam did Chloe answer correctly?

Answers

200 x 0.87 = 174

She answered 174 questions correctly.

Answer:

Chloe answered 174 problems correctly.

Explanation:

To find percentage, you would multiply the percentages decimal to the total.

0.87x200=174

Jessica is bringing cupcakes to school for her birthday. She is placing them in a rectangular box that can fit 4 more cupcakes long that it can wide. They will not all fit in the box, so she is also bringing a bag that can hold 12 cupcakes. The amount of cupcakes she is bringing can be represented as x(x + 4) + 12. Solve for the number of cupcakes wide and long the box will hold. Part A) What does x represent?​

Answers

Answer:

the amount of cupcakes

Step-by-step explanation:

you said the amount of cupcakes can be represented by

simplify -8-(12)+(-2)​

Answers

Answer:

-22

Step-by-step explanation:

-8-(12)+(-2)

-8-12-2

-20-2

-22

HOPE THIS HELPS!

Ten people put 63 boxes on a red truck and 38 boxes on a blue track About how many boxes did they load in all

Answers

Answer:

63+38=101

Step-by-step explanation:

hola cual es la raiz cuadrada de √639+(393)​

Answers

Answer:

393 + 39√6

Step-by-step explanation:

√639 + (393)

Simplify

393 + 39√6 (Answer)

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Hey It's Chloe again, sorry.
But what is the perimeter of a rectangle?

Answers

Answer:A perimeter is the sides of a shape added together.

Step-by-step explanation:

Answer:

The perimeter of a rectangle is the total length of all the sides of the rectangle.

Step-by-step explanation:

The perimeter of a rectangle is the total length of all the sides of the rectangle. We can find the perimeter by adding all four sides of a rectangle. Since opposite sides of a rectangle are always equal, we need to find the dimensions of only two sides to find the perimeter of a rectangle.

If you have a 2 inches by 4 inches rectangle, you would have 2 inches + 4 inches + 2 inches + 4 inches = 12 inches

Here is a polygon. Use the scale factor of 1/2 determine the new side length for A *

Answers

Answer:

i need to see the polygon my guy

Step-by-step explanation:

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