find the 10th and nth term of each G.P.:5,25,125,.....​

Answers

Answer 1

Answer:

The \(n^{th}\) of the sequence

\(t_{n} = ar^{n-1}\)

The  \(10^{th}\) of the sequence

\(t_{10} = 5(5)^{10-1} = 9,765,625\)

Step-by-step explanation:

Explanation:-

Given that the geometric sequence

5, 25 , 125 ,....

First-term  a= 5

Difference    \(r = \frac{25}{5} =5\)

The \(n^{th}\) of the sequence

\(t_{n} = ar^{n-1}\)

The  \(10^{th}\) of the sequence

\(t_{10} = 5(5)^{10-1} = 9,765,625\)


Related Questions

what is 0.5 10 times as much as 1/10

Answers

Answer:

0.5

Step-by-step explanation:

(1/10•10)•0.5

ohh the ten goes first not the fraction but it did it both ways and got the same answer

PLEASSSSSEEE HELPPP ME

PLEASSSSSEEE HELPPP ME

Answers

I hope this helps you

PLEASSSSSEEE HELPPP ME

This is my last question, Please only answer if you know, Question down below :)

This is my last question, Please only answer if you know, Question down below :)

Answers

Answer:

i think its d

Step-by-step explanation:

Noah made 12 \text{ kg}12 kg12, start text, space, k, g, end text of trail mix for his family's hiking trip. His family ate 8{,}600 \text{ g}8,600 g8, comma, 600, start text, space, g, end text of the trail mix on the hiking trip. How many grams of trail mix did Noah have left?

Answers

Answer:

3,400 g

Step-by-step explanation:

The computation of the grams of trail he left is shown below:

As we know that

1 kg = 1000g

So for 12 kg it is = 12000 g

And, his family ate 8,600 g mix on the hiking trip

So, the trial mix did he have left is

= 12,000 g - 8,600 g

= 3,400 g

Antonio has a CD-player that holds six CDs. He puts six different CDs in the player and the CD player randomly plays a song from any of the CDs. What is the probability that the CD player will play the first song from the first CD and the first song from the sixth CD? Write your answer as a fraction.

Answers

Answer:

I'm not sure if this is correct, but I would say 2/6. You could further simplify that to 1/3

Step-by-step explanation:

There are 6 CDs, and it is asking the probability that it will play the first song from the first CD, and the first song from the first song from the 6th CD. That is where we get our 2.

Sorry if that was a bad explanation, I have trouble with explaining stuff.

Let me know if this is correct or not-

Answer:

one over six.

Step-by-step explanation:

If the player only play a CD one time.

Then let one decided by six.

Therefore the answer as a fraction is one over six.

Quadrilateral PQRS is shown
40+1
Q
R
(6x + 13)
6b
/11b-10
(7x- 500
P
s
2a +9
What must mZQPS be for PORS to be a parallelogram?
A 18
B 59
C 121
OD not enough information

Quadrilateral PQRS is shown40+1QR(6x + 13)6b/11b-10(7x- 500Ps2a +9What must mZQPS be for PORS to be a

Answers

Answer:

m∠QPS = 59

Step-by-step explanation:

59 + (7x-5) = 180

x = 18

If you substitute 59 with the other answer options you will get a decimal.

I hope that this could help!!!!

The positive five-digit integers that use each of the digits 1, 2, 3, 4 and 5 exactly once are ordered from least to greatest. What is the $50^{\text{th}}$ integer in the list

Answers

the 50th integer in the list is 31245.

To find the 50th integer in the list of positive five-digit integers that use each of the digits 1, 2, 3, 4, and 5 exactly once, we can determine the pattern of the list and then find the corresponding number.

Since the digits 1, 2, 3, 4, and 5 can be arranged in 5! = 120 different ways, there are 120 five-digit integers that can be formed. To determine the 50th integer, we need to find the number at the halfway point of the list.

To organize the list, we can consider the first digit:

- The first digit can be any of the five numbers (1, 2, 3, 4, or 5).

- For each choice of the first digit, the remaining four digits can be arranged in 4! = 24 different ways.

So, there are 5 * 24 = 120 different arrangements, forming the entire list.

To find the 50th integer, we divide 50 by 24 and round up to the nearest whole number:

50 / 24 ≈ 2.0833

Rounding up, we get 3.

Therefore, the 50th integer in the list is formed by choosing the third digit for the first position. We then arrange the remaining four digits in ascending order, resulting in the number 31245.

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find angle depression lighthouse 112m above sea level to boat that is at horizontal distance 1.5km from lighthouse

Answers

Answer:

4

Step-by-step explanation:

420km

Find a formula for each of the following arithmetic sequences.
The positive whole numbers less than 100
The hours of the day from 1 P.M. to midnight

Answers

The formula for the arithmetic sequence of hours from 1 P.M. to midnight is: aₙ = 13 + (n - 2) * 1

Arithmetic sequence for the positive whole numbers less than 100:

To find the formula for an arithmetic sequence, we need to determine the common difference (d) between consecutive terms.

In this case, the first term (a₁) is 1, and the last term (aₙ) is the largest positive whole number less than 100, which is 99. Since the common difference between consecutive terms is 1, we can use the formula:

aₙ = a₁ + (n - 1) * d

Substituting the values:

99 = 1 + (n - 1) * 1

Simplifying the equation:

n - 1 = 99 - 1

n - 1 = 98

Adding 1 to both sides:

n = 99

Therefore, the formula for the arithmetic sequence of positive whole numbers less than 100 is:

aₙ = 1 + (n - 1) * 1

Arithmetic sequence for the hours of the day from 1 P.M. to midnight:

In this case, the first term (a₁) is 1 P.M., which is equivalent to 13 hours. The last term (aₙ) is midnight, which is equivalent to 12 hours. The common difference (d) between consecutive terms is 1 hour.

Using the same formula as above, we can write:

aₙ = a₁ + (n - 1) * d

Substituting the values:

12 = 13 + (n - 1) * 1

Simplifying the equation:

n - 1 = 12 - 13

n - 1 = -1

Adding 1 to both sides:

n = 0

However, since we're looking for the hours from 1 P.M. to midnight, we want to exclude 1 A.M., which would be n = 0. Therefore, we need to adjust the formula slightly:

aₙ = a₁ + (n - 2) * d

So, the formula for the arithmetic sequence of hours from 1 P.M. to midnight is:

aₙ = 13 + (n - 2) * 1

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the probability that luis will fail his statistics test is a 0.32. what is the probability that luis will pass his. statistics test

Answers

Answer:

0.68 because probability has to be out of 1, therefore 1 - 0.32 = 0.68

How many solutions does the system of linear equations represented in the graph have?

How many solutions does the system of linear equations represented in the graph have?

Answers

The given linear equation has can have infinite solutions. So the correct option is C infinitely many solutions.

How many solutions does linear equation have?

Equations are classified based on the terms and degree of equation or expression. The classification on the basis of terms is:

Monomial, Binomial, Trinomial or polynomial expressions. On the basis of degree the expressions or equations are classified as Linear, Quadratic and Cubic. The graph of linear equation is represented by a straight line. Linear equation are the equations having one the highest power(degree of the variable) as one.The solutions of linear equations in one or two variables have infinitely many solutions. All the points through which the line passes is a solution to the linear equation.

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Which of the following verifies that g satisfies the hypotheses of the Mean Value Theorem on the interval [0, 8]

Answers

To verify that g satisfies the hypotheses of the Mean Value Theorem on the interval [0, 8], we need to ensure that two conditions are met:

1. Continuity: We need to check if g is continuous on the interval [0, 8]. This means that there should be no breaks, jumps, or holes in the graph of g over this interval. To verify continuity, we can examine if there are any vertical asymptotes, removable discontinuities, or jumps in the graph of g within the interval [0, 8].

2. Differentiability: We need to check if g is differentiable on the open interval (0, 8). This means that the derivative of g should exist and be finite at every point within the interval (0, 8). To verify differentiability, we can examine if the derivative of g exists and is finite for all values of x in the open interval (0, 8).

To summarize, to verify that g satisfies the hypotheses of the Mean Value Theorem on the interval [0, 8], we need to ensure that g is continuous on [0, 8] and differentiable on (0, 8). If both of these conditions are met, then g satisfies the hypotheses of the Mean Value Theorem on the interval [0, 8].

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sushmila is buying Mehdi supplies

sushmila is buying Mehdi supplies

Answers

Answer:

3(p - 5) + 2s should be the correct answer!

Step-by-step explanation:

3 henna powder, and you get $5 off each henna powder so equation is 3(p - 5)

2 bottle so, 2s

add them up and get the answer

Anyways, hope this helped!

Nutritionists examined the sodium content of different brands of potato chips. Each brand was classified as either healthy or regular based on how the chips were marketed to the public. The sodium contents, in milligrams (mg) per serving, of the chips are summarized in the boxplots below. Based on the boxplots, which statement gives a correct comparison between the two classifications of the sodium content of the chips? A. The number of brands classified as healthy is greater than the number of brands classified as regular. B. The interquartile range (IQR) of the brands classified as healthy is greater than the IQR of the brands classified as regular. C. The range of the brands classified as healthy is less than the range of the brands classified as regular. D. The median of the brands classified as healthy is more than twice the median of the brands classified as regular. E. The brand with the least sodium content and the brand with the greatest sodium content are both classified as healthy.

Answers

Based on the given boxplots, the correct comparison between the two classifications of the sodium content of the chips is B. The interquartile range (IQR) of the brands classified as healthy is greater than the IQR of the brands classified as regular.

The IQR represents the spread of the middle 50% of the data and is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). In this case, the IQR of the healthy chips is approximately 70 mg while the IQR of the regular chips is approximately 40 mg. Therefore, the sodium content of the healthy chips has a greater spread than the sodium content of the regular chips.

The other options either compare the number of brands or specific values (such as the range or median) without taking into account the spread of the data. Therefore, option B is the best choice for comparing the sodium content of the chips based on the given boxplots.

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Based on the given boxplots, the correct comparison between the two classifications of the sodium content of the chips is B. The interquartile range (IQR) of the brands classified as healthy is greater than the IQR of the brands classified as regular.

The IQR represents the spread of the middle 50% of the data and is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). In this case, the IQR of the healthy chips is approximately 70 mg while the IQR of the regular chips is approximately 40 mg. Therefore, the sodium content of the healthy chips has a greater spread than the sodium content of the regular chips.

The other options either compare the number of brands or specific values (such as the range or median) without taking into account the spread of the data. Therefore, option B is the best choice for comparing the sodium content of the chips based on the given boxplots.

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Over the set of real numbers, what is the domain of the composite function
G(F(x))?
F(x) = -x-3, G(v) = √y
G(F(x)) = √√-3-x
OA. x>-3
OB. xs-3
C. x2-3
O D. All real numbers

Answers

The domain of the composite function is  - x - 3 ≥ 0 , x ≤ -3 .

The correct answer is (B).

Given,

In the question:

Over the set of real numbers.

F(x) = -x-3, G(v) = √y

G(F(x)) = √√-3-x

To find the domain of the composite function.

Now, According to the question:

Based on the given conditions:

The domain of F(x) = -x -3 is all real numbers.

The domain of

G(v) = √y is y ≥ 0

{The relationship of the domain of a composite function and the original functions}

So, - x - 3 ≥ 0 , x ≤ -3

Hence,  The domain of the composite function is  - x - 3 ≥ 0 , x ≤ -3 .

The correct answer is (B).

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Aaron can paint a door in 3 hours, and Anna can do the same job in 2 hours. Working together, how many hours will it take them to paint a door?​

Answers

Aaron = 3 hours
Anna = 2 hours

3 divided by 2 = 1.5

It should take 1 hour and 30 minutes for both of them to paint a door

1.25 hours will it take them to paint a door.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Aaron can paint a door in 3 hours.

Anna can do the same job in 2 hours.

Since you have two painters for one door we can calculate the average of their combined times as

= (3 h + 2 h) /2

= ( 180 + 120) /2

= 300/ 2

= 150 minutes.

= 150/ 2

= 75 min

= 75/ 60

= 1.25 hours.

It would take nearly 1 hour and 25 minutes.

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Graph the polynomial function f(x) = x^3 + 3x^2 – 4x – 12 using its intercepts and end behavior

Answers

The graph of the polynomial f(x) is added as an attachment

How to plot the graph of the polynomial?

From the question, the equation of the polynomial is given as

f(x) = x^3 + 3x^2 – 4x – 12

To start with, we need to represent the function of the polynomial properly

So, we have the following representation

f(x) = x³ + 3x² – 4x – 12

Solving further, we need to factorize the function

This gives

f(x) = x²(x + 3) - 4(x + 3)

Factor out x + 3

f(x) = (x² - 4)(x + 3)

Express as difference of two squares

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

When the above equation is solved, we have

x = 2, x = -2 or  = -3

This means that the intercepts of the function are -3, -2 and 2

Next, we plot the polynomial function using the above intercepts and the end behavior

See attachment for the graph of the function

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Graph the polynomial function f(x) = x^3 + 3x^2 4x 12 using its intercepts and end behavior

The total cost of a watch and a radio is Rs 500. If the watch is cheaper than the Equations radio by Rs 150, find their cost.​

Answers

Answer:

the watch is Rs 175

the radio is Rs 325

Step-by-step explanation:

x = price of the watch

y = price of the radio

x+y = 500

x + 150 = y

=>

x + (x+150) = 500

2x + 150 = 500

2x = 350

x = 175

=>

y = 175 + 150 = 325

Please explain!!

C=4 π
A=

Please explain!!C=4 A=

Answers

Answer: 12.56unit

Step-by-step explanation:

Which situation could NOT represent a proportional relationship? * The amount an employee who makes $9.50 per hour earns in h hours The cost of purchasing p pounds of bananas for $0.36 per pound The weight in x weeks of a puppy that gains 4 pounds per week if its starting weight is 16 pounds The number of gallons of water in x barrels with 33 gallons of water in each barrel

Answers

Answer:

The weight in x weeks of a puppy that gains 4 pounds per week if its starting weight is 16 pounds

Step-by-step explanation;

Let us analyze the option one after the other

1. "The amount an employee who makes $9.50 per hour earns in h hours"

 This represents a proportional relationship, because for the more the employee works the more he earns

2. "The cost of purchasing p pounds of bananas for $0.36 per pound"

    This represents a proportional relationship, because the more the pound the greater the cost

3. "The weight in x weeks of a puppy that gains 4 pounds per week if its starting weight is 16 pounds"

This is not because there was an existing 16 pounds, although it will get to a point where the relationship becomes a proportional relationship.

4. "The number of gallons of water in x barrels with 33 gallons of water in each barrel"

    This is a proportional relation, because more barrels will contain more gallons of water.

if diameter of a circle is x cm what is the measure of its area(and why)​

Answers

1/2πx2


The area of a circle is defined by πr2, and given the diameter, we must also multiply it to pi and square the value only after getting half of the value x.

It is estimated that a driver takes, on average, 1.2 seconds from seeing on obstacle to react by applying the brakes to stop or swerving. How far will a car, moving at 34 miles per hour in a residential neighborhood, travel (in feet) before a driver reacts to an obtacle

Answers

To find out how far a car will travel (in feet) before a driver reacts to an obstacle, given that the car is moving at 34 miles per hour in a residential neighborhood, we need to convert the speed of the car from miles per hour to feet per second. This can be done using the conversion factor that 1 mile per hour is equal to 1.46667 feet per second. Therefore, 34 miles per hour is equal to 34 x 1.46667 = 49.86678 feet per second.

We know that the average reaction time of the driver is 1.2 seconds, and we can use the following formula to calculate the distance traveled by the car before the driver reacts to the obstacle:

d = v x t

where d is the distance, v is the velocity, and t is the time taken. Using the formula above, we can calculate the distance traveled by the car before the driver reacts to the obstacle as:

d = 49.86678 x 1.2 = 59.84014 feet

Therefore, the car will travel 59.84014 feet before a driver reacts to an obstacle.

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Who can solve this please

Who can solve this please

Answers

Answer:

Shape 1 = l×b

= (6x²y) × (4y²)

Shape 2 = l×b

= (6x²y+2x²y)×(y²)

= (8x²y) × y²

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Pls help me, I will mark as Brainliest! Thank u! (7th grade math work)

Pls help me, I will mark as Brainliest! Thank u! (7th grade math work)

Answers

Answer:

Q 1- 15, just multiply 5 x 2 = 15

Q 2- 36, just multiply 8 x 12 = 36

Q 3- y= -2x

Q 4- 1200

Q 5- 20

Knock Knock Whos there leader of the knockdown thats who!

Have a fun time with the points!

Answers

Answer: knock knock whos there nobody 2+2 = xyz

Step-by-step explanation:

Answer:

Thanks that was a good joke!

if angles HGF is 89 degrees then angles HGI equals____

if angles HGF is 89 degrees then angles HGI equals____

Answers

The line HG divides the line FI at point G. That means two angles have been formed which are, angle HGF and HGI.

Sum of angles on a straight line equals 180. If angle HGF and angle HGI both lie on the same line (FI), it means then, that;

HGF + HGI = 180

89 + HGI = 180

Subtract 89 from both sides of the equation and you have

HGI = 91

The perm pattern that includes a central rectangle and two sections at each side is the:
a) rectangle pattern
b) contour pattern
c) spiral bricklay pattern
d) alternating oblong pattern

Answers

The perm pattern that includes a central rectangle and two sections at each side is the contour pattern.

The contour pattern in a perm involves dividing the hair into three sections, with a rectangular section in the center and two additional sections on each side. The hair is then wrapped around perm rods in a pattern that follows the contour of the head. This pattern is often used to create natural-looking waves or curls.

The other patterns listed - rectangle pattern, spiral bricklay pattern, and alternating oblong pattern - are not typically used in perming hair.

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True or false: If a relationship exists between a response variable Y and a predictor variable X it is appropriate to say that X causes variation in Y.

Answers

If a relationship exists between a response variable Y and a predictor variable X, it is appropriate to say that X causes variation in Y is True.

There could be other factors or variables that influence the relationship between X and Y. It is important to distinguish between correlation and causation.
To establish causation, a researcher needs to conduct a controlled experiment, where all other factors are held constant except for the predictor variable X.

This will allow the researcher to isolate the effect of X on Y and determine whether it is indeed causing variation in Y.
In conclusion, while a relationship between X and Y may suggest causation, it is not appropriate to make that assumption without conducting a controlled experiment or considering other factors that may be influencing the relationship.
True. If a relationship exists between a response variable Y and a predictor variable X, it is appropriate to say that X causes variation in Y.
In statistics, response variables, also known as dependent variables, are the outcomes we are interested in explaining or predicting.

Predictor variables, also called independent variables, are the factors that might influence these outcomes.

When analyzing data, we often use regression models to determine the strength and direction of the relationship between the response variable Y and the predictor variable X.
A positive relationship between X and Y means that as X increases, Y also increases, while a negative relationship implies that as X increases, Y decreases.

A strong relationship between the variables indicates that the predictor variable X accounts for a significant portion of the variation in the response variable Y.
However,

It's crucial to note that a correlation between X and Y does not guarantee causality.

Confounding variables, which are factors not included in the analysis but may influence the response variable, could be causing the observed relationship.

Further analysis,

Such as experiments or controlling for potential confounding variables, might be needed to establish causation.
In summary,

When a relationship exists between a response variable Y and a predictor variable X, it is appropriate to say that X causes variation in Y, but it's important to consider that correlation does not necessarily mean causation.

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pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally. the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream. what kind of variable is the company​ studying?

Answers

The pharmaceutical company uses the quantitative variable to conducts an experiment.

Variables:

A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.

Quantitative Variables - Variables whose values result from counting or measuring something.

Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.

Given,

A pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally.

And  the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream.

Here we need to find the kind of variable is the company​ studying.

Here the company uses the Qualitative Variable because here they measure the effects of the medicine not the measurement.

So, the experiment uses the Qualitative Variable.

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(1 point) in how many ways can 2 ice cream toppings be chosen from 12 available toppings? your answer is :

Answers

Answer:

Below

Step-by-step explanation:

12 C 2  = 12! / ( 10! 2!) = 66 ways

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