The first three terms of a sequence are given. round to the nearest thousandth (If necessary). 15,18,108/5 Find the 7th term pls help

Answers

Answer 1

The sequence 15, 18, 108/5 is a geometric sequence

The value of the 7th term is [tex]44\frac{2468}{3125}[/tex]

How to determine the 7th term?

The sequence is given as:

15, 18, 108/5

The above sequence is a geometric sequence with the following parameters:

First term, a = 15

Common ratio = 18/15

The nth term of a geometric sequence is:

an = a * r^(n - 1)

So, the 7th term is:

a7 = a * r^6

This gives

a7 = 15 * (18/15)^6

Evaluate

[tex]a_7 = 44\frac{2468}{3125}[/tex]

Hence, the value of the 7th term is [tex]44\frac{2468}{3125}[/tex]

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Related Questions

Economists are analyzing the effects of new tax policies on population growth. From recent census data, it is known that the proportion of families in the United States who have more than 3 children in the household is 26%. For a random sample of 50 families, what is the standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places

Answers

Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of the sample proportions is of 0.062.

What does the Central Limit Theorem states?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem:

The proportion is of p = 0.26.A sample of n = 50 families is taken.

Hence, the standard deviation is given by:

[tex]s = \sqrt{\frac{0.26(0.74)}{50}} = 0.062[/tex]

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An article is bought for Rs200 & sold for Rs250,what is the profit percentage.​

Answers

(200/250)×100 = 80%

100 - 80 = 20%

hope it helps...!!!

Answer:

20%

Step-by-step explanation:

Partition the rectangle into 4 equal sections. Explain how you partitioned the rectangle.

Answers

    Divide the rectangle in half vertical-wise and horzintal-wize. This creates four equal sections, or partitions the garden into quarters ([tex]\frac{1}{4}[/tex]).

See attached for an example.

    Please note you can also divide it into four portions vertically or four portions horizontally and reach the same result of four quarters.

Andrea is an accountant who lives in the state of texas. which tax is she not responsible to pay? a. gasoline tax at the state level b. income tax at the national level c. inheritance tax at the state level d. payroll tax at the national level

Answers

The tax is Andrea not responsible to pay Payroll tax at the national level.

We have Andrea is an accountant who lives in the state of texas.

To determine the tax is she not responsible to pay

What is the  Payroll tax?

The Payroll tax would include the deduction that was made to be allocated into her pension, medicare,  or some form of investment.

Payroll tax is regulated under states law along with the policy from the company where she works.

So she's exempt from payroll at the national level.

Therefore option D is correct.

Thus the tax is Andrea not responsible to pay Payroll tax at the national level.

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Answer:

C. inheritance tax at the state level

Step-by-step explanation:

PLATO answer

Find the surface area of the prism

Answers

Answer:

216cm²

Step-by-step explanation:

SA of the rectangular prism

= 2(lb + bh + hl)

= 2(3*6 + 6*10 + 10*3)

= 2(18 + 60 + 30)

= 2(108)

= 216cm²

For a typical human height of 2 meter what is the horizon distance on earth (r=6378 (b mars R=3,340

Answers

The horizon distance on earth for a typical human height of 2 meters is 5051 meters

How to determine the horizon distance?

The given parameters are:

Human height, h = 2 metersRadius of earth, R = 6378 * 1000 meters

The horizon distance (OG) is calculated using:

[tex]OG = \sqrt{2 R h}[/tex]

This gives

[tex]OG = \sqrt{2 *6378 * 1000 * 2}[/tex]

Evaluate the square root

OG = 5051

Hence, the horizon distance on earth is 5051 meters

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Solve for X please help

Answers

Answer:

x=−5.675726

Step-by-step explanation:

Which function is shown in the graph below

Answers

Answer:

y=2x^+2+3

2nd bubble

please make this answer brainliest If I helped you!

Easy Points!!
Question 7 of 10
Does the mapping diagram represent a function? Why or why not?
A. No; each input pairs with only one output.
B. No, the input value x = 3 pairs with two different output values.
O C. No; two output values pair with two different input values
O D. Yes; each input pairs with only one output.

Answers

Letter B

As i answered on your previous question, an x value cannot have 2 or more y values or else the curve does not pass the vertical line test, therefore this diagram does NOT represent a function.

simplify 15/root75 +root 108+root 432​

Answers

Answer:

32.91

Step-by-step explanation:

[tex] \hookrightarrow \sf \frac{15}{ \sqrt{75} } + \sqrt{108 } + \sqrt{432} [/tex]

[tex] \hookrightarrow \sf \: 19 \sqrt{3} \approx \: 32.908965[/tex]

Answer:

32.90235

Step-by-step explanation:

[tex]\frac{15}{\sqrt{75} }[/tex]   + [tex]\sqrt{108}[/tex] + [tex]\sqrt{432}[/tex]

  =  1.73205 + 10.3923 + 20.784

  = 32.90235

Which of the following is not a reason for america to keep its current system of measurement? a. it would be too expensive and time consuming to switch everything over to metric. b. since the american system is decimal based, it is easy to convert between different units of measure. c. the american system works most easily with fractions which, some argue, are preferable on a day-to-day basis. d. the units and terms involved with the american system are smaller and easier to use than those in the metric system.

Answers

C. American system works most easily with fractions which, some argue, are preferable on a day to day basis

The units and terms involved with the American system are smaller and easier to use than those in the metric system.

What is the metric system of measurement?

The metric system is a system of measurement used in most countries around the world.

It is based on units of 10 and is also known as the International System of Units (SI).

The basic units of the metric system include the meter (for length), the gram (for mass), and the liter (for volume).

We have,

The statement "the units and terms involved with the American system are smaller and easier to use than those in the metric system" is not a valid reason to keep the current system of measurement in the United States.

In fact, the metric system is considered to be simpler and more logical than the U.S. customary system of measurement.

The metric system is based on multiples of 10, which makes conversions between units much easier than the U.S. customary system, which is based on arbitrary values that are not easily converted between each other.

Additionally, the metric system is used universally around the world, which makes it easier for people to communicate and do business across international borders.

Finally, many industries, such as science, engineering, and medicine, have already adopted the metric system, making it more practical to switch over to metric completely.

Thus,

The units and terms involved with the American system are smaller and easier to use than those in the metric system.

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Auto insurance options offered by aa auto insurance are outlined in the table below. what monthly payment would you expect for an insurance policy through aa auto insurance with the following options? bodily injury: $25/50,000 property damage: $25,000 collision: $250 deductible comprehensive: $100 deductible aa auto insurance type of insurance coverage coverage limits annual premiums bodily injury $25/$50,000 $22.50 $50/100,000 $31.75 $100/300,000 $40.25 property damage $25,000 $120.50 $50,000 $144.75 $100,000 $193.00 collision $100 deductible $520.00 $250 deductible $415.25 $500 deductible $275.75 comprehensive $50 deductible $110.25 $100 deductible $100.00 a. $43.23 b. $46.10 c. $54.85 d. $64.44

Answers

Based on the information given, it can be deduced that the monthly payment for the insurance plan will be A. $50.04.

What is insurance?

insurance simply means protection from financial loss. It's simply used on hedging against the risk of uncertainty.

A deductible simply means the amount of money that an individual will pay towards an insured loss. From the table, the monthly payment for the insurance plan will be $50.04.

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Answer:

A

Step-by-step explanation:

What is the value of [ 3 × ( 8 − 2 ) ] 5 ? enter your answer in the box.

Answers

Answer:

90

Step-by-step explanation:

1st you solve for the 8-2 in the parentheses

[3 x 6] 5

Then solve what's in the  brackets

[18]5

18 x 5 = 90

I SUCK AT MATH HELP PLS!!!​

Answers

Answer:

Step-by-step explanation:

Formula

m =  (y2 - y1)/(x2 - x`1)

Givens

Points M(-5,4) and N(2,-1)

y2 = 4

y1 = -1

x2 = - 5

x1 = 2

Solution

m = (4 - - 1) / (-5 - 2)

m  = (4 + 1) / (- 7)

m = (5) / (- 7)

Answer: m (slope ) = 5/-7

Note

The question is how do you enter it? It depends on how you have been told to enter fractions or mixed numbers. I would answer it as

-5

-----

7

which you will note transfers the minus sign to the top of the fraction. It shouldn't matter as long as the net result is minus.

help pls first correct answer gets brainleist​

Answers

8cm? Sorry if this is incorrect

Which is a short-term consequence of making a late payment on your bill? it will be harder to buy a house because it affects your credit history. there will be a late fee added to the bill. it will be harder to secure a new loan at a low rate. the bank will charge a fee for having a negative balance.

Answers

There will be a late fee added to the bill as a short-term consequence of making a late payment on your bill. Option B is correct.

What is the late payment?

A late payment is a payment sent to a lender or service provider after the due date or after the grace period for the payment has expired.

The consequence of making a late payment on your bill is;

A-it will be harder to buy a house because it affects your credit history.

B-here will be a late fee added to the bill

C-it will be harder to secure a new loan at a low rate

D- The bank will charge a fee for having a negative balance

All the given options are the consequence of making a late payment on your bill. But the options A, C, and D are the long-term consequences. While option B is a long-term consequence.

There will be a late fee added to the bill as a short-term consequence of making a late payment on your bill.

Hence option B is correct.

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B - there will be a late fee added to the bill

Alia bought a home for her pet turtle. The rectangular tank is 3 feet long, 1 foot wide, and 2 feet high. What is the volume of the tank?


The volume of the tank is Blank

cubic feet

Answers

Answer:

6 ft^3 or cubic ft

Step-by-step explanation:

Volume = B x H or L x W x H

Base = L x W

Length: 3 ft

Width: 1 ft

Height: 2 ft

3 x 1 x 2 = 6

6 ft^3

write the slope intercept form of the equation of each line through the given points (4,-2) and (-5,3)

Answers

Answer + Explanation is in the photo attached

graph the inequality on the axis below x+6y<6

Answers

Answer:

Step-by-step explanation:

Another answer answer answer

Answers

Answer:

B

Step-by-step explanation:

-13-7=-20

Check:

13+7=20

The question asks, "solve for b" meaning find the value.

The correct answer is B.

During second period, Clara completed a grammar worksheet. Of the 45 questions, Clara got 60% right. How many questions did Clara get right?

Answers

Answer:

0.6*45=27

Step-by-step explanation:

You have to change 60 percent into a decimal and multiply it by 45 because there are 45 questions and you wil get 27

I need help with these 2 questions, This due very soon so please respond ASAP and I will mark brainliest if correct!

Answers

Answer:B,C

Step-by-step explanation:

the other do is always numbers with t be oossblie because of the quadratic formula

What is the value of x?

Answers

Answer: 5

Step-by-step explanation:

Identify the graph and describe the solution set of this system of inequalities y<-3x-2 y>-3x+8 A. The solution set is shown by region C.B. There is no solution.C. The solution set is shown by region B.D. The solution set is shown by region A

Answers

The inequalities have no solution since their graph does not intersect or overlap.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The inequality given is y<-3x-2 and y>-3x+8, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.

Hence, The inequalities have no solution since their graph does not intersect or overlap.

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Answer:

B. There is no solution.

Step-by-step explanation:

And katie stop deleting my answers

10. Jenn went to the farmer's market with $40. She brought a 10 lb bag of

potatoes for $6, a pie for $8,4 qt frest strawberries for $4 per qt, and 5 lb

of apples at $1. 49 per lb. What percent of the $40 did she still have when

she left? *

Answers

Answer:

Step-by-step explanation:

Find all the expenses:

potatoes: $6

pie: $8.4

strawberry: $4

apples: $1.49 * 5 => $7.45

total=> 6 + 8.4 + 4 + 7.45 = $25.85

Rule:

$40 = 100%

$25.85 = x%

=> x = ($25.85 * 100%) / $40 = 64.625%

hey double check if I added wrong, and if it is repeat the calculation,

hope it helps

What is the length of the hypotenuse?​

Answers

14 units

By find the missing angle to be 60. Use Cos = a/h

Cos60 = 7/h

x h, then ÷ by cos60

h = 7/cos60

h = 14

Hypotenuse is the longest length

Soh Cah toa

So, the last length must be 7 root 3 (12.12 to 2d.p)

(root means square root)

Hope this helps!

A. Give the measure of an exterior angle of each of the following regular polygons.

With a Solutions pls

1. Triangle
2. Octagon
3. Hexagon

Pls answer it correctly. need it tomorrow!​

Answers

Answer:

120° , 45° , 60°

Step-by-step explanation:

the sum of the exterior angles of a polygon = 360°

the exterior angles of a regular polygon are congruent , then

(1) triangle with 3 sides

exterior angle = 360° ÷ 3 = 120°

(2) octagon with 8 sides

exterior angle = 360° ÷ 8 = 45°

(3) hexagon with 6 sides

exterior angle = 360° ± 6 = 60°

If the dimensions of a shipping box are all doubled, how many staplers can the larger box hold? 24 staplers 48 staplers 96 staplers 192 staplers

Answers

The larger box with all dimensions double the small box will hold 192 staplers.

We have one cubical box with a side of 6 inches.

What is a cube?

A cube is a prism with a height equal to the side of the base.

One box contains 24 staplers.

If we make each side double we will get a total of 8 boxes same as the smaller box.

So, 8 boxes will contain = 8*24 =192 staplers.

Hence, the larger box with all dimensions double the small box will hold 192 staplers.

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Answer:

192 Staplers

Step-by-step explanation:

A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of 23. 4 miles per gallon (mpg). A random sample of 41 cars are selected and the air filter of each is replaced with a new one. Let mu be the population mean fuel efficiency score that would occur if every car's air filter were replaced. The air filter change is deemed effective if mu space greater than space 23. 4 mpg. A test is made of H subscript 0 colon space mu space equals space 23. 4 space space space v e r s u s space space space H subscript 1 colon space mu space greater than space 23. 4. Assume that the air filter changes are effective but the conclusion is reached that the changes might not be effective. Which type of error, of any, has occurred

Answers

From the given question, we did not reject the null hypothsis which makes the answer to this question a type II error

What is type I error ?

Data:

Mean fuel efficiency = 23.4 mpgsamples = 41

This is an error done from rejecting the null hypothesis (H_0) when the null hypothesis is true, is known as type I error.

What is type II error ?

This is an error committed from not rejecting the null hypothesis (H_0) when actually the null hypothesis is false, is known as type II error

Given that the air filter changes are not effective i.e. ȝ = 24.7.

It means that if we do not reject the null hypothesis we shall make a correct decision. So consequently the chance of type II error is impossible because it occurs when we do not reject the null hypothesis, but here not rejecting the null hypothesis will lead to correct decision.

The answer to this question is type II error

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2.) f(x) is transformed to create the graph of g(x). Describe the
transformation
f(x) = |x|
g(x) = (x + 71
1x +
Ofis shifted up 7 units
7
Ofis shifted left 7 units
Ofis shifted right 7 units
7
Ofis vertically stretched by a factor of 7
Ofis shifted down 7 units

Answers

Answer:

2nd option

Step-by-step explanation:

given f(x) then f(x± a) is a horizontal translation of f(x)

• If + a then a shift to the left of a units

• If - a then a shift to the right of a units

g(x) = | x + 7 | ← with a = + 7

then g(x) is f(x) shifted 7 units to the left

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