What is the sum of the first ten terms in a geometric series
with a1=
6 and r = 2?

Answers

Answer 1

Answer:

[tex]S_{10} = 682[/tex]

Step-by-step explanation:

Given

[tex]a_1 = 6; r = 2[/tex]

Required

[tex]S_{10[/tex]

This is calculated as:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

So, we have:

[tex]S_{10} = \frac{6 * (2^{10} - 1)}{10 - 1}[/tex]

[tex]S_{10} = \frac{6 * (1024- 1)}{9}[/tex]

[tex]S_{10} = \frac{6 * 1023}{9}[/tex]

[tex]S_{10} = 682[/tex]


Related Questions

g The least-squares regression line of the number of visitors, y, at a national park and the temperature, x, is modeled by the equation . What is the predicted number of visitors when the temperature is 78o? 10.3 visitors 85.2 visitors 95.5 visitors 888.6 visitors 6,655.9 visitors

Answers

Answer: D) 888.6

Step-by-step explanation:

The expression which would help arrive at the required answer is y = 78b + c.

The least regression equation is the equation of best fit obtained from a linear regression graph.

The linear regression equation is expressed in the form :

y = bx + c ; where ;

y = Predicted variable

x = predictor variable

c = intercept

b = slope

The least regression equation is not given in the question above.

However, we could give the equation in the linear regression format :

y = number of visitors

y = number of visitors x = temperature = 78°

Hence, the equation becomes :

y = b(78) + c

y = 78b + c

Inputting the values of b and c in the equation will give the required answer.

Learn more : https://brainly.com/question/4997238?referrer=searchResults

How much money would you have in an account after 15 years if you earned 9,3% annually and you started with R573,00?​

Answers

Given:

Principal = R573.00

Rate of interest = 9.3% annually

Time = 15 years.

To find:

The amount after 15 years.

Solution:

Formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded in an year and t be the number of years.

The interest is compounded annually, so n=1.

Putting [tex]P=573,r=0.093,n=1,t=15[/tex] in the above formula, we get

[tex]A=573\left(1+\dfrac{0.093}{1}\right)^{1(15)}[/tex]

[tex]A=573\left(1+0.093\right)^{15}[/tex]

[tex]A=573\left(1.093\right)^{15}[/tex]

[tex]A=2174.98893[/tex]

[tex]A\approx 2174.99[/tex]

Therefore, the amount in the account after 15 years is about  R2174.99.

Can someone help me find x

Answers

Answer:

30°

Step-by-step explanation:

4x-12 = 108

4x = 120

x=30

4(30)-12 = 108 (Just to check)

120-12 =108

108=108

Pete's Pizza has a mean delivery time of 29 minutes with a standard deviation of 3 minutes. Determine the z-score for the number of pizzas delivered in less than 25 minutes.

Answers

Answer:

9 pizzas

Step-by-step explanation:

the right aswer is -1.33

dele took 25 minutes to walk to school and he arrived at exactly 8:00am, at what time did he leave his home​

Answers

i think it would be around 7:30am

Plz help me well mark brainliest if correct!!....

Answers

Answer:

35 square units

Step-by-step explanation:

take the amount of each side and multiply. so it would be 5 times 7. that gives you the total area.

Answer:

Your answer is 35!

Step-by-step explanation:

You just count the squares along the sides of the rectangle. Since you need length and width to find area, you count the bottom side and one of the sides. Then multiply! Or just count the squares inside the rectangle :)

another khan academy pls

Answers

Answer:

89

Step-by-step explanation:

3 consecutive numbers can be:

[tex]x-1, x, x+1[/tex] ; for example: 1, 2, 3 (1 is 1 less than 2, and 3 is 1 more than 2)

The sum is all of them added, so

[tex]x-1+x+x+1=270; 3x=270; x=90[/tex]

90 is the middle number though, so the first number is 89

Answer:

88, 90, 92

Step-by-step explanation:

I hop this is right can you pls answer this question khan academy.

Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6),A(2,−6),A, left parenthesis, 2, comma, minus, 6, right parenthesis, comma B(5, -6)B(5,−6)B, left parenthesis, 5, comma, minus, 6, right parenthesis, C(5, -2)C(5,−2)C, left parenthesis, 5, comma, minus, 2, right parenthesis, and D(2, -2)D(2,−2)D, left parenthesis, 2, comma, minus, 2, right parenthesis.

What is the perimeter of rectangle ABCDABCDA, B, C, D?

units

Thank you

12 Select the correct answer from each drop-down menu. 4 units 6 units 4 units NIE bi TH 6 units 4 units The total area of the three triangles is square units. The area of the figure is square units. Reset​

Answers

Answer:

Area of three triangles = 36 square units

Area of the composite figure = 60 square units

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Area of ΔABC = [tex]\frac{1}{2}(6)(4)[/tex]

                        = 12 square units

Area of ΔCDE = [tex]\frac{1}{2}(4)(6)[/tex]

                        = 12 square units

Area of ΔGEF = [tex]\frac{1}{2}(6)(4)[/tex]

                       = 12 square units

Area of rectangle ACEG = Length × Width

                                        = AC × CE

                                        = 6 × 4

                                        = 24 square units

Area of three triangles = 12 + 12 + 12

                                      = 36 square units

Area of the composite figure = Area of three triangles + Area of the rectangle

= 36 + 24

= 60 square units

Answer:

The total area of the three triangles is 36 square units.

The area of the figure is 60 square units.

Step-by-step explanation:

2.- Un campesino guarda un doceavo de su trigo cosechado para semilla, un sexto de la misma
cosecha lo convierte en harina y vende 288 kilos. ¿Cuántos kilogramos de trigo cosechó?

Answers

please translate in english

If there are 7 red candies in a bag of 36 colored candies, what is the probability of getting a red candy as a
percent? Round to the nearest whole percent.PLS HELP THIS IS FOR A TEST

A.19%

b. 29%

C.50%

d. 70%

Answers

Answer:

19.4% but rounded is 19%

Step-by-step explanation:

7/36 = x/100

36x = 700 (cross multiply)

36x/36 = 70036

x = 19.4444444

2x^2-13=x Write the quadratic equation in standard form:

Answers

Answer:

2xˆ2-x-13=0

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

2x^2 - 13 = x

Subtract x from both sides:

2x^2 - x - 13 = 0 is the standard form.

A spinner has 10 equal sections: 3 redsections, 4 green sections and 3 bluesections. If Josh spins the spinner, what isthe probability that it lands on a greensection?

Answers

40% chance I think let me know if this is right or not

Can someone please help me?

Answers

9514 1404 393

Answer:

x = 87°vertical angles

Step-by-step explanation:

The marked angles share a vertex and are formed from opposite rays. They do not share a side, so are not adjacent angles. The angles are vertical angles.

As such, they are congruent, so x = 87°.

Find the inverse function.

Answers

(x+1)^3 is the answer
It should be....
(x-1)^3

Please correct me if i am wrong.

A. 20
b. 5
c. 40
d. 45

Answers

Answer:

C, 40

Step-by-step explanation:

You can set up the equation as 20+4x=180

180 is the total angle of the line

4x=160 and divide each side by 4

x=40

I think it could be B

By divide but iam not sure sorry if it wronge

If x = 4, calculate the value of: 7x + 2x + x

Answers

Answer:

40

Step-by-step explanation:

7(4)+2(4)+(4)=?

28+8+4=?

36+4=?

40

7x+2x+x

Simplify

(7+2+1)x10x

Put x=4

10(4)40

PLEASE HELLLLLLP NO FAKE ANSWERS

Answers

Answer: p= -3,2

q= -3,8

R= -8,8

s=-8,2

Step-by-step explanation:

Find the area of the shape. 9 ft 8 ft 17 ft 4 ft

Answers

Answer:

72

Step-by-step explanation:

Answer:

4892 or 2446

Step-by-step explanation:

PLZZZZZZZZZZZZZZZZZ help

Answers

Answer:

true

Step-by-step explanation:

[tex]\frac{x}{2} <20[/tex]

* substitute 30 for x *

[tex]\frac{30}{2} <20\\\frac{30}{2} =15\\[/tex]

we're left with 15 < 20 which is true


[tex] \large \sf \blue{Find \: the \: H.C.F \: of : }[/tex]
[tex] \sf \purple{➪ \: 84 \: and \: 156}[/tex]

Answers

Answer:

[tex] \large \sf \blue{Find \: the \: H.C.F \: of : }[/tex]

[tex] \sf \purple{➪ \: 84 \: and \: 156}[/tex]

Look at picture and find the value of x please help no links!!

Answers

The best answer to go with is c

Angle Relationships

A water slide is a straight ramp 25 m long that starts from the top of a tower. If the angle the slide forms with the top of the tower is 33°. determine the height of the tower. Round your answer to the nearest meter.

a. 30 m
b. 25 m
c. 24 m
d. 21 m

Pleases elect the best answer from the choices provided

Answers

Answer:

D. 21 m

Step-by-step explanation:

I calculated it logically

Zane received a quote to move his belongings to his new house. The estimate from
the mover is $675 for 6 hours of packing and 5 hours of loading on the weekend. The
cost during the week is $425 for 4 hours of packing and 3 hours of loading. If the
mover charges a set hourly rate for packing and another set hourly rate for loading,
what are these hourly rates?
What is the LCM for packing? What is the LCM for loading?

Answers

9514 1404 393

Answer:

packing: $50 per hourloading: $75 per hourpacking LCM: 12; loading LCM: 15

Step-by-step explanation:

We can let P and L represent the hourly costs of packing and loading, respectively. The two estimates can be represented by the equations ...

  6P +5L = 675

  4P +3L = 425

The LCM of the coefficients of P is LCM(6, 4) = 12.

The LCM of the coefficients of L is LCM(5, 3) = 15.

__

Each LCM is the product of the numbers, divided by their greatest common factor. For 4 and 6, the product is 24, and both even numbers have a factor of 2, so the LCM of 4 and 6 is 24/2 = 12. The numbers 3 and 5 have no common factors, so the LCM is simply their product.

_____

The LCM is useful if you're going to solve the equations by "elimination". Here, the LCM of 12 means we can eliminate P by making its coefficient be 12 in both equations. Multiplying the first equation by 2, we can subtract 3 times the second equation to eliminate P:

  2(6P +5L) -3(4P +3L) = 2(675) -3(425)

  12P +10L -12P -9L = 1350 -1275

  L = 75 . . . . . simplify

Similarly, we can eliminate L by making its coefficients be 15.

  5(4P +3L) -3(6P +5L) = 5(425) -3(675)

  20P +15L -18P -15L = 2125 -2025

  2P = 100 . . . . simplify

  P = 50 . . . . . . divide by 2

The hourly rates are ...

  $50 per hour for packing

  $75 per hour for loading

Answer:

40 packing and 80 moving

Find the mean of the data set: {11, 14, 11, 5, 17, 28, 3). Round to the nearest tenth.

Answers

Answer:

12.7

Step-by-step explanation:

Mean is total/the amount of numbers

Total: 11+14+11+5+17+28+3=89

Amount: 7

89/7=12.7142857

Answer:

12.7

Step-by-step explanation:

Mean = sum/count

Sum = 89

Count = 7

mean = 89/7

mean = 12.7142857143

Rounded

12.7

The solution of the equation (x + 3)^2 = 7 is

Answers

Answer:

- sqaure root 7-3, sqaure root 7-3

Step-by-step explanation:

See Image below:)

A population has a standard deviation of 20.2. What is the standard error of
the sampling distribution if the sample size is 144? Round your answer to two
decimal places.
A) 1.68
B) 1.84
C) 1.55
D) 1.44

Answers

Answer: 1.68

Step-by-step explanation:

A pex

The graph shows the number of books Rahul read, y, compared with the number of books Maggie read, x, over the summer.
Which equation represents the relationship between the number of books read by Rahul and Maggie?

A. y=x+2

B. y=x+1

C. y=3x

D. y=2x

Answers

Answer:

D. y=2x(4×2)

Step-by-step explanation:

y=8 and x=4 and they are asking about the books that Maggie read how they the books re equal to the ones Rahul read. so y will be equal to x times 2 which is also x+x.

Hope I helped!

Please help out. The question is on the photo

Answers

Answer:

55

Step-by-step explanation:

• I am a fraction less than 1.
My denominator is a multiple of 5.
My denominator is less than 20.
• My numerator is a multiple of 4.
My numerator is 3 less than my
denominator.

Answers

Answer:

12/15

Step-by-step explanation:

3x5=15

4x3=12

15-12=3

Therefore the answer is 12 over 15

Nikki is braiding her hair. She wants to make 48 little braids. If it takes her 4
minutes to make each braid, how many hours will it take her to make all 48
braids? *

Answers

Answer:

3.2 hours

Step-by-step explanation:

48x4=192

192 divided by 60 is 3.2

Answer:

3 hours and 12 minutes

Step-by-step explanation:

there are 15 sets of 4 in one hour, so 15 plus 15 equals 2 hours or 30 braids. Then you add one more hour and you get 45 braids and then for the last three braids its 12 minutes

if you want to thank me add me on insta at 904_donke

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