Determine whether the geometric series 19.2 + 9.6 + 4.8 + ... converges or diverges, and identify the sum if it exists.​

Answers

Answer 1

Answer: The infinite geometric series converges to 38.4

====================================================

Explanation:

Divide each term by its previous term

term2/term1 = 9.6/19.2 = 0.5

term3/term2 = 4.8/9.6 = 0.5

The common ratio is r = 0.5

Since -1 < r < 1 is true, this means the infinite geometric series converges.

It converges to...

S = a/(1-r)

S = 19.2/(1-0.5)

S = 38.4

Answer 2

Answer:

Top is right

Step-by-step explanation:


Related Questions

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H_0: u =5 H_1: U =/ 5 . I can not make the equal wiht aline through it
Is the hypothesis test left-tailed, right tailed, or two tailed? A Left tailed B Right tailed C Two tailed
What parameter is being used? A population proportion B population mean C standard deviation

Answers

Correct clear question is;

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H_0: μ = 5 H_1: μ ≠ 5

Is the hypothesis test left-tailed, right tailed, or two tailed? A Left tailed B Right tailed C Two tailed

What parameter is being used? A population proportion B population mean C standard deviation

Answer:

A) C - Two tailed hypothesis

B) B - Population mean

Step-by-step explanation:

We are given the hypotheses to be;. Null Hypothesis; H_0: μ = 5

Alternative hypothesis; H_1: μ ≠ 5

From the alternative hypothesis, we can see that the critical area of distribution of the parameter being tested could either be less than 5 or greater than 5 due to the not equal to sign. This means it could either be left tailed or right tailed. Thus, it is a two tailed hypothesis.

From the hypothesis, we see that the symbol μ is being used.

In statistics, μ is generally used as a symbol to denote population mean.

Thus, parameter being used/tested is population mean

Density is calculated by dividing the mass by volume. A student measures the mass of an 8 cm3 object as 12.9g. What is the density of the object to the nearest tenths with proper units?

a.) 2 g/cm3
b.) 1.61 g/cm3
c.) 1.5 g/cm3
d.) 1.6 g/cm3

Answers

Answer: D

Density= mass/volume

12.9g/8cm3= 1.6 g/cm3

14 + 5(16 – 9) – 2 + 4 •12 =

Answers

The Answer Is 95

Hope This Help's

14 + 5(7) - 2 + (4x12) = 14 + 35 - 2 + 48 = 95

5
Quita bought a jacket priced at $88. The sales tax rate on the jacket was 7.5%.
How much was the sales tax in dollars and cents on this jacket?

Answers

I’m honestly not sure but it could be right
The answer I got is &6.60

Can somebody help and crAck the code this is 100 points if you get it right your are gonna be the brainliest

Answers

Answer:

RECORD TIME

Step-by-step explanation:

RECORD TIME

Answer:

record time

Step-by-step explanation:

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simplify 5-(-1) Quickly answer pls

Answers

Answer:

5-(-1)

5+1

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

5-(-1)

5+1

= 6

Help me please I do not understand this question

Answers

Answer:

<KNM = 131

Step-by-step explanation:

<KNM + <MNJ= 180 so,

8x - 5 + 4x - 19 = 180-----> collect like terms----> 12x - 24 =180-----> add 24 on each side----> cancels out on the left-----> 12x = 204-----> divide by 12 on each side-----> x = 17------> plug in-----> < KNM = 8(17)-5 ---> <KNM = 131

Did this help?!?!?

Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Math, History, Chemistry, English}, B = {Psychology, Drama, French, Chemistry, English}, and C = {Physics, History, French}. Find the following. n(B) + n(C)

Answers

Answer:

b. psychology drama French chemistry English

For what value of the variable will the expression 2b−3 be equal to the following: −11

Answers

To find the value b that makes the expression equal to -11, set up an equation: 2b – 3 = -11. Add 3 to both sides:
2b -3 +3 = -11 +3. Now you’re left with 2b = -8 .
Now divide 2 to both sides: 2/2 b = -8 / 2.
b = -4. Hope that helps

A dog walking along some train tracks meets a train every 4 minutes and the train catches up the dog every 12 minutes. Find the value of x if the trains leave the endpoint of the route every x minutes.

Answers

Answer and Step-by-step explanation:

Dog meets the train in = 4 minutes

Train catches up the dog in = 12 minutes

Let x be the time when train leave the route,

Train catch up the dog in 12 minutes, the endpoint of route is x and the dog meet up the train in 4min, so the equation becomes:

                       12 - x = 4

               To find out the value of x, subtract 12 from both sides, we get

                        x = 4 – 12

                         -x = -8

Which gives x = 8, when train leaves the endpoint of route.

Which y values are represented on the the graph below?

Answers

Answer:

The value is of y is 1 . please follow me I will give u more answer

The range of the line segment will be - 3 ≤ y ≤ 3. Then the correct option is A.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

From the graph, the maximum value of the line segment will be 3 and the minimum value of the line segment will be negative 3. Then the range can be given as,

R = [-3, 3]

- 3 ≤ y ≤ 3

The range of the line segment will be - 3 ≤ y ≤ 3. Then the correct option is A.

More about the domain and range link is given below.

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Solve 5x - 4< 2x + 5. Enter your answer as an inequality.

Answers

Answer:

x < 3

Step-by-step explanation:

5x - 4 < 2x + 5

Subtract 2x from both sides

5x - 4 - 2x < 2x + 5 - 2x

5x - 2x - 4 < 2x - 2x + 5

3x - 4 < 0 + 5

3x - 4 < 5

Add 4 to both sides

3x - 4 + 4 < 5 + 4

3x < 9

Divide both sides by 3

3x/3 < 9/3

x < 3

The original price of a camera was $50 and the sale price this week is $38. What is the percent of change in the price
of the camera?
A.24% B. 12% C.20% D.25%

Answers

Answer:

24%

Step-by-step explanation:

x (original price) = 50$

y (sale price) = 38$

p (percentage) = ?

p = (x - y) / x

p = (50-38) / 50

p = 12/50

p = 0.24

p = 24%

Answer:

24%

Step-by-step explanation:

i did it in my head

-i+5=t-19 please help

Answers

Answer:

t=24-i

Step-by-step explanation:Solve for t

by simplifying both sides of the equation, then isolating the variable.

Rewrite 0.011 as a fraction in lowest terms

Answers

Answer:

11/1000

Step-by-step explanation:

and did not copy i swear

Answer:

11/1000 or 10/500

Step-by-step explanation:

Using the distance formula, find the distance between these two points. Round to the nearest tenth. (8,9) and (3,2)

Answers

Answer:

The answer is

8.6 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8,9) and (3,2)

The distance between them is

[tex]d = \sqrt{( {8 - 3})^{2} + ( {9 - 2})^{2} } \\ = \sqrt{ {5}^{2} + {7}^{2} } \\ = \sqrt{25 + 49} \\ = \sqrt{74} \: \: \: \: \: \: \: \: \: \: \\ = 8.60232...[/tex]

We have the final answer as

8.6 units to the nearest tenth

Hope this helps you

what is the answer to -17 = 6m - 4 + 7m ?

Answers

Answer:

====LEARN WITH REY====

Hi sis, try to help ya

Step-by-step explanation:

= -17 = 6m - 4 + 7m

= 6m - 7m = 17 + 4

= 1m = 21

= m = 21 : 1

= m = 21

========================

#Study with brainly #Learn with rey

Find the coordinates of point P that partition AB in the
ratio 1:4.

Please give explanation

Answers

Answer:

(1.6, 0)

Step-by-step explanation:

Point P, partitioning AB in the ratio 1:4, implies that it divides AB into, AP and PB, such that AP to PB = 1:4.

Use the formuka below to find the coordinates of point P:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] A(1, -1) = (x_1, y_1) [/tex]

[tex] B(4, 4) = (x_2, y_2) [/tex]

[tex] m = 1, n = 4 [/tex]

Solve by plugging the above values where necessary as follows:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] x = \frac{1(4) + 4(1)}{1 + 4} [/tex]

[tex] x = \frac{4 + 4}{5} [/tex]

[tex] x = \frac{8}{5} [/tex]

[tex] x = 1.6 [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

[tex] y = \frac{1(4) + 4(-1)}{1 + 4} [/tex]

[tex] y = \frac{4 - 4}{5} [/tex]

[tex] y = \frac{0}{5} [/tex]

[tex] y = 0 [/tex]

The coordinates of P that partitions AB into the ratio 1:4 are (1.6, 0)

What is the density of Iron Ore (Hematite)? Mass = 30g: Volume = 3.02
cubic cm. Round to TWO decimal places.

Answers

Answer:

9.93g/cb cm

Step-by-step explanation:

Density = mass/volume

= 30g/3.02cb cm

= 9.93g/cb cm

Does anyone know how to figure this out? can you please explain it to me?

Answers

Answer:

x=108'

y=25'

Step-by-step explanation:

180 = 72+x

so,

x = 180-72

  = 108'

x = 5y-17 ( but we know x is 108')

so 108 = 5y -17

108+17 = 5y

5y = 125

y = 25

Answer:

x = 108 degree

y = 25 degree

Step-by-step explanation:

You can use law of transversal to get these

what is the opposite of the opposite of 8

Answers

Answer:

8

Step-by-step explanation:

The opposite of the opposite of 8 is just 8

Answer:

-8

Step-by-step explanation:

the opposite of 8 is -8 because of positive and negative numbers

640 - 40 = A.600 B.640 C.360 D.784 answer and you will get 45 points if you get correct and used paper and pencil.

Answers

Answer:

A. 600

Step-by-step explanation:

Answer:

A.............................,.

i need help please answer quickly this is due tomorrow

Answers

Step-by-step explanation:

elsian 69 pls help me with my latest question i will gove u anything u want pls its due today i am so stuck

Answer:  see below

Step-by-step explanation:

Graph the points and rotate the graph as follows:

90° = 1 turn left180° = 2 turns left (or right)270° = 3 turns left (or 1 right)

or use the following formulas:

90°:  (x, y) → (-y, x)180°: (x, y) → (-x, -y)270°: (x, y) → (y, -x)

1) 180°: (x, y) → (-x, -y)

       D: (1, 4) → (-1, -4)

       E: (7, 6) → (-7, -6)

       F: (8, 3) → (-8, -3)

       G: (2, 1) → (-2, -1)

2) 270°: (x, y) → (y, -x)

       L: (1, 6)  → (6, -1)

       M: (8, 7) → (7, -8)

       N: (5, 2) → (2, -5)

3)  90°: (x, y) → (-y, x)

       Q: (2, 6) → (-6, 2)

       R: (5, 7) → (-7, 5)

       S: (7, 3) → (-3, 7)

       T: (1, 1)  → (-1, 1)

4) 180°: (x, y) → (-x, -y)

       D: (3, 0) → (-3, 0)

       E: (6, 1) → (-6, -1)

       F: (7, -4) → (-7, 4)

       G: (1, -6) → (-1, 6)

     

what is 2/3 + 1/2 equal?

Answers

Answer: To add fractions, find the LCD and then combine.

Exact Form:

7 /6

\( ̄︶ ̄*\)) Hope this helps!!

Answer:

7/6

Step-by-step explanation:

2/3+1/2

4/6+3/6

4+3/6

7/6

when examining distributions of numerical data, what three components should you look for

Answers

Answer:

The three components you should look for when examining distributions of numerical data are Shape, center, and spread

-Source(I took AP statistics in senior year of high school and passed the AP test)

The three components for examining distributions of numerical data are Shape, centre, and spread.

What is distribution of data?

A normal distribution is a common probability distribution. It has a shape often referred to as a "bell curve." Many everyday data sets typically follow a normal distribution: for example, the heights of adult humans, the scores on a test given to a large class, errors in measurements.

When examining the distribution of a quantitative variable, one should describe the overall pattern of the data (shape, centre, spread), and any deviations from the pattern (outliers). When describing the shape of a distribution, one should consider: Symmetry/skewness of the distribution Peakedness (modality) - the number of peaks (modes) the distribution has. Not all distributions have a simple, recognizable shape. Outliers are data points that fall outside the overall pattern of the distribution. It is always important to interpret the features of the distribution (as they appear in the histogram) mean in the context of the data.

Hence, The three components for examining distributions of numerical data are Shape, centre, and spread.

For more references on distribution, click;

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Suppose LCM(a,b) = 20160, a=60. Find the smallest possible value of b.

Answers

Answer:

see below

Step-by-step explanation:

given:

LCM(a,b) = 20160, a=60

find:

smallest possible value of b

solution;

60, b = 20,160

b = 20,160 / 60

b = 336

60 x 336 = 20,160

= 2⁶ x 3² x 5 x 7

= (2² x 3 x 5) x (2⁴ x 3 x 7)

= (60) x (336)

LCM(60,336) = 1680

consider the 2² x 3 to get the prime number:

= 336 x 12

= 4032

therefore,

LCM(60,4032) = 20160

The smallest possible value of b is 336.

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We have been given that

LCM(a,b) = 20160 and  a = 60

We have to determine the smallest possible value of b

Since the product of two numbers equals the product of their HCF and LCM.

⇒ 60 × b = 20,160

⇒ b = 20,160 / 60

⇒ b = 336

⇒ 60 × 336 = 20,160

We need to write 20160 as the product of its prime factors, which is 20160.

⇒ 2⁶ × 3² × 5 × 7

⇒ (2² × 3 × 5) x (2⁴ × 3 × 7)

⇒ (60) × (336)

⇒ LCM(60,336) = 1680

Therefore, the smallest possible value of b is 336.

Learn more about the Prime Factorization here:

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9. The maximum value of a data set
consisting of 25 positive integers is 84. A
new data set consisting of 26 positive
integers is created by including 96 in the
original data set. Which of the following
measures must be 12 greater for the new
data set than for the original data set?​

Answers

Answer:

Let m be the minimum value of original data set.

Given -

The range of original data set = 84 -mA new data set consists of 26 positive integers and 96 original data set.

Therefore, the range of new data set is 96-m.

Now, we can find the difference between two ranges by subtracting the ranges -

[tex] \\ \implies \sf \: (96 - m) - (84 - m) \\ \\ \\ \sf \footnotesize \: using \: \: distributive \: \: property \: - \\ \\ \\ \bf \: it \: \: will \: \: be \: \: equal \: \: to \: \: 12. \\ [/tex]

Therefore, the range of the new data set must be greater than the range of original data set.

Catherine wants to pass year for Ms. Ford's class and all she has left is to take the final Spring Final. If she earned a 60 on Semester 1, a 62 on RC3 and a 53 on RC4 what is the minimum score she would need to earn on the final to pass for the year? RC3 and RC4 are averaged together for 90% of the semester 2 grade. The Spring final is 10% of the semester 2 grade. The final grade is the average of the Semester 1 and Semester 2 grade. A 70% is passing.

Answers

Step-by-step explanation:

The final grade is the average of the two semesters.

70 = ½ (60 + x)

x = 80

So Catherine needs a Semester 2 grade of 80%.

The average of RC3 and RC4 is ½ (62 + 53) = 57.5.  This accounts for 90% of the Semester 2 grade.  The other 10% is the Spring final.

80 = 0.90 (57.5) + 0.10 (x)

x = 282.5

Catherine would have to score 282.5% on the Spring final in order to pass.

Ben simplified this expression (2x^-4y^7 / 3x^3y^2)^3 Analyze bens work. did he simplify the expression correctly? If not, what was his mistake? Yes, he is correct. No, he needed to add the exponents of powers of the same base in the first step. No, he needed to apply the exponent to all factors in the product in the second step.

Answers

-c

No , he needed to apply the exponents to all factors in the product in the second step .

16.2=2.7(h=1) solve for h

Answers

Answer:

h = 5

Step-by-step explanation:

[tex]16.2=2.7(h+1)\\\\2.7\left(h+1\right)=16.2\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\2.7\left(h+1\right)\cdot \:10=16.2\cdot \:10\\\\Refine\\27\left(h+1\right)=162\\\\\mathrm{Divide\:both\:sides\:by\:}27\\\frac{27\left(h+1\right)}{27}=\frac{162}{27}\\\\Simplify\\h+1=6\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\h+1-1=6-1\\\\Simplify\\h=5[/tex]

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