Find the 11 term of the following geometric sequence.
10, 30, 90, 270, ...

PLEASE I NEED HELP

Answers

Answer 1
Solution:

T1(a) = 10, common ratio (r) = [tex] \frac{30}{10} = 3[/tex] T11 = ?

Formula for finding the nth term of a GP: [tex]t_{n} = a {r}^{n - 1} [/tex]

To find T11:

[tex]⟹t_{11} = 10 \times {3}^{11 - 1} [/tex]

[tex] ⟹t_{11} = {10 \times 3}^{10} [/tex]

[tex] ⟹t_{11} = 10 \times 59049[/tex]

Therefore:

[tex] t_{11} = 590490[/tex]


Related Questions

what is the answer to -2(x+3)

Answers

Answer:

-2x-6

Step-by-step explanation:

-2(x+3) =

According to the distributive property:

(-2*x) + (-2*3) =

-2x - 6

Answer: -2x-6

Explanation : we apply the distributive property which would mean -2 times x which would be -2x and then we would switch the positive to a negative since all of the numbers are negative and -2 times 3 equals -6 so that is why that is the answer have a nice day (:

URGENT! PLEASE HELP

The Greenland ice sheet contains about 3 million cubic kilometers of ice. If completely​ melted, this ice would release about 2.1 million cubic kilometers of​ water, which would spread out over​ Earth's approximate million square kilometers of ocean surface. How much would the sea level​ rise?

Answers

Answer:

Answer: 0.005523 kilometer = 5.52 meter In this case, you are asked how much the water height and given the water volume ( 1.9 million cubic kilometers) and the earth area (344milion square kilometers). To answer this question you just need to divide the volume with the area.

- 7x > 24
solve this guys it's too urgent ​

Answers

Answer:

x> 24/_7

x>_3.43

..............

The answer must be x = -4

John and his family went out to eat. Their total
bill was $65 but they used a 10% coupon. How
much did John and his family spend at the
restaurant?

Answers

Answer:

$58.5

Step-by-step explanation:

plz mark as brainliest

a hostel gets rs 5000000 net profit in a year .the hostel distributes rs 50000 to each workers equally .find the total amount of bonus received by 55 workers​

Answers

Answer:

pls state the question in another state

Step-by-step explanation:

okay

4/-2 simplified

For math not sure how to do it

Answers

Answer:

the answer is just -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

U would divide 4 by -2

THIS IS URGENT PLS!!!

Answers

Answer:

b i believe

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

y is slowly decreasing in both of them

PLEASE HELP AGAIN DUE TONIGHT WILL GIVE BRAINLIST!!!

Answers

Answer:

B. -3,072

Step-by-step explanation:

(Geometry)
Find the value of X
Show work

Answers

Answer:
Value of X is ——
1) x = 7

f(x) = -x2
Find f(-5)

Answers

Answer:

f(-5) = -25

Step-by-step explanation:

f(-5) = -(-5)^2

f(-5) = -25

hope this helps, pls mark brainliest :D

Find CD if C(0, 3) and D(4.7).​

Answers

It’s asking you to plot the numbers on a grid chart if given one if not make a your own grid chart and plot like is

The 6 students
10,8,14,7,13,12. Find the mean and median round to the nearest tenth ​

Answers

Answer:

median is 10 or 12 and the mean is 10.6

Step-by-step explanation:

7, 8, 10, 12, 13, 14

Angela has $2,200 to invest at a simple interest rate of 4.5%. If she wants to earn $297 in interest, how long does she have to invest her money?

Answers

Answer:

I will not give you an answer, but I will give you how too get the equation started.

Step-by-step explanation:

set up an equation using:

 

x= amount invested at 3%

 

7800 - x = amount invested at 12%

 

.03(x) + .12(7800 - x) = 504

 

.03x +936 - .12x = 504

 

-.09x = -432

 

x = 4800

What is the measure of angle x? (1 point)
1) 25 degrees
2) 40 degrees
3) 55 degrees
4) 105 degrees

Answers

Answer:

x=55degree because x+25=80 so x=55

Answer:

55°

Step-by-step explanation:

This is because that angle is 80° but is split into two and 80-25=55

.
The model represents an equation.
what is the solution for this equation?
a x=3
b x=15
c x=5
d x=1

Answers

Answer:

D. x=1

Step-by-step explanation:

Image can be rewritten as 3x + 6 = 9.

Solve for x.

3x +6 = 9

Isolate x by subtracting 6 from both sides.

3x = 3

Get rid of the 3 by dividing by 3 on both sides.

x = 1

Hope this helped.

Simplify:
5x - 6x- 8x + 7

Answers

Answer:

-9x+7

Step-by-step explanation:

Review the diagram.
Awagon is being pulled by a force of 15 pounds. How
much work is done in moving the wagon 50 feet if the
handle makes an angle of 40° with the ground?
O 11.49 foot-pounds
O 38.30 foot-pounds
O 574.53 foot-pounds
O 750.00 foot-pounds

Answers

Answer:

C) 574.53 foot-pounds

Step-by-step explanation:

got it right on edge :)

Awagon is being pulled by a force of 15 pounds.  the required work done is 574.53 to pull the wagon So, Option C) is correct work done = 574.53.

What is work done?

The work done is product of force and cosine of displacement.

Given; Awagon is being pulled by a force of 15 pounds. We need to find How much work is done in moving the wagon 50 feet if the handle makes an angle of 40° with the ground.

Force = 15 pounds

distance = 50 feet

Ф = 40°

We can calculate the work done as;

work done = force x displacement x cosФ

work done = 15 x 50 x cos40

work done = 15 x 50 x 0.76

work done = 574.53

Therefore, the required work done is 574.53 to pull the wagon.

Learn more about work bhere:

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20 or 40 points-
I need help on question 17 not 15 or 16 only 17

Answers

Answer:

9.5 hours

Step-by-step explanation:

In ∆ABC, ∠A is a right angle, and ∠B measures less than 40°. Which of the following phrases best describes the measure of ∠C?

Answers

The phrase that describes the measure of ∠C is greater than 50°.

What is a right triangle?

A right triangle is a triangle that has one of its angle as 90 degrees.

The triangle is named as ABC.

∆ABC

where

∠A = 90 degrees

∠B < 40 degrees

The sum angles in a triangle is 180 degrees.

Therefore,

let x be the third angle

Hence,

∠A + ∠B + ∠C = 180°

∠B + ∠C = 180 - 90

∠B + ∠C  = 90°

∠B < 40 degrees

Therefore,

∠C > 50 degrees.

learn more on right triangle here: https://brainly.com/question/17718701

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PLEASE HELP! ILL GIVE BRAINLIEST!

Answers

Answer:

-5

Step-by-step explanation:

I think it is -5 as I used y=Mx+C where it is the intercept

3(5x + 2) = -5(3x - 5) + 3x

Answers

Answer:

x=19/27

Step-by-step explanation:

[tex]3(5x+2)=-5(3x-5)+3x\\15x+6=-15x+25+3x\\15x+6=-12x+25\\27x=19\\x= 19/27[/tex]

Hope this helps plz hit the crown :D

[tex]3(5x+2)=-5(3x-5)+3x[/tex]

Distribute 3 in 5x+2 and -5 in 3x-5

[tex]15x+6=-15x+25+3x[/tex]

Multiplying 2 negatives will be positive (Same goes to dividing 2 negatives.)

[tex]15x+15x-3x=25-6[/tex]

Move the x term to the same side and constant term to the same side.

(Whenever you move to another side, change the sign/operator to opposite. From plus to minus and from multiply to divide.)

[tex]27x=19\\x=\frac{19}{27}[/tex]

Thus, the answer is 19/27

How many total hours does a grocery clerk work if he gets 4hr 30 min in the morning and 4 hr 15 min in the afternoon 5 days per week? Would this employee qualify for overtime? If so, how many hours of overtime would this employee qualify for?

Answers

Answer:

Step-by-step explanation:

8 hours 45 minutes a day for 5 days a week.

43.75 hours or 43 hours 45 minutes for total hours.

Depends what the overtime is for your country. Take the difference from overtime and total work.

A bin in the gym holds 40 balls, which are a mix of
basketballs, soccer balls, and dodgeballs. The ratio
of basketballs to soccer balls is 3:1. The ratio of

soccer balls to dodgeballs is 1:4. How many basket-
balls are in the bin?

Answers

A ratio in mathematics demonstrates how many times one number is present in another.

Find the solution ?A ratio in mathematics demonstrates how many times one number is present in another.For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

15 basketballs

3:1:4= 8

40/8= 5

3*5=15

1*5=5

4*5=20

15:5:20

To learn more about the ratio refer

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please help lol !!! :)

Answers

Answer:

C

Step-by-step explanation:

Given a mean of 80 and a standard deviation of 3, label the normal curve below.

Answers

Answer:

The points from the left;

71, 74 , 77, 80, 83, 86 , 89

Step-by-step explanation:

Here, we want to label the normal curve given the mean and the standard deviation

From what we have, the central part is the mean while the other parts are deviations from the mean

We will label the graph starting from the left to the right

1 is 3 SD from the mean (negatively)

That will be 80-3(3) = 80-9 = 71

2 is 2 SD away

That will be;

80 -2(3) = 80-6 = 74

The 3rd part is 1 SD away

That will be 80-3 = 77

The midpoint is for the mean which is 80

The point after this will be;

80 + 3 = 83

The point after this will be;

83 + 3 = 86

Next is

86 + 3 = 89

Help please, please only answer if you know, 20 points.

Answers

Answer:

Slope=8

Step-by-step explanation:

Are the two triangles congruent?

Choose 1 answer:

A. Yes

B. No

C. There is not enough information to say.

Answers

Answer:

The shown triangles have the same angles 96° and 61°, and the same length 6.

Thus, the two triangles are congruent.

Step-by-step explanation:

We know that two triangles would be termed as congruent If:

Their corresponding sides have equal lengthTheir corresponding angles have equal measure

The orientation of a congruent triangle can be different.

Consider the two triangles shown.

Though their orientation is different, both triangles have the same angles 96° and 61°, and the same length 6.

Therefore, the two triangles are congruent.

Answer:

Yes

Step-by-step explanation:

It’s right on khan academy

Kenise will begin college as a freshman next fall and has received a 10-year $5,500 Federal Direct Unsubsidized Loan with an interest rate of 6.8%. She will be required to begin making payments six months after graduation. How much interest will accrue while she is still in school and over the six-month grace period?

Answers

Answer:

The interest accumulated will be $3,927

Step-by-step explanation:

Mathematically;

Simple interest = PRT/100

From the question, we have P as the amount borrowed = $5,500

R is the interest rate = 6.8%

T is the time which is 10 years + 6 months = 10 1/2 years

The interest accrued will thus be;

(5,500 * 6.8 * 10.5)/100 = $3,927

I need help on this question right now

Answers

Answer:

96 degrees

Step-by-step explanation:

a

42. The Good Food n' More grocery store loses an average of $210 a day due to breakage, shoplifting, and food
expiration. How much money does the store lose on average per 7-day week?

Answers

$1470. Multiply $210 times 7 and it gives you an average of 1470
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