Evaluate the summation of 25 times 0. 3 to the n plus 1 power, from n equals 2 to 10. 0. 005 0. 321 0. 964 10. 714.

Answers

Answer 1

The sum of the geometric series when the value of n is from 2 to 10 is 0.964. Then the correct option is C.

What is a series?

A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.

The expression is 25(0.3)ⁿ⁺¹ and n varies from 2 to 10.

We know that the sum of the geometric series can be given as

[tex]S_n = a* \dfrac{1-r^n}{1-r}[/tex]

Where the common ratio (r) is 0.3 and a is the first term is 1.

[tex]\rm S_n = 1* \dfrac{1-0.3^9}{1-0.3}\\\\S_n = 1* \dfrac{0.9999}{0.7}\\\\S_n = 1.43[/tex]

Then we have

summation = 25(0.3)³ × 1.43

summation = 0.96423

More about the series link is given below.

https://brainly.com/question/10813422


Related Questions

Factor. 15x-9 how do i solve and get the correct answer

Answers

Answer:

[tex]{ \rm{15x - 9}} \\ = { \rm{(5 \times 3)x - (3 \times 3)}} \\ = { \boxed{ \rm{3(5x - 3)}}}[/tex]

Answer:

15x-9 = 3(5x-9)

above answer is correct

A
1080
B
Reflex Angle B =
degrees.

Answers

Answer:

A reflex angle is an angle greater than a straight angle and less than a circle. ... Some examples of the measures of reflex angles in degrees are:.

Step-by-step explanation:

hope it helps!

Hurry please!
What is the slope of a line perpendicylar to the line whose equation is
5x + 6y = -54. Fully simplify your answer.

Answers

Answer:

[tex]\frac{6}{5}[/tex]

Step-by-step explanation:

*Perpendicular lines have negative reciprocals slopes*

First, find the slope-intercept form of 5x + 6y = -54:

5x + 6y = -54

-5x          -5x

6y = -5x - 54

/6         /6

y = [tex]-\frac{5}{6}x[/tex] - 9

y = mx + b

So, the reciprocal slope of m = [tex]-\frac{5}{6}[/tex] is m = [tex]\frac{6}{5}[/tex]

Hope this helps!

help plsssssssssssssssssssssss

Answers

Answer:

12.57

Step-by-step explanation:

this is because is ten more times as big as the 5 in the question

100 POINTS! CORRECT ONLY!! HELP ASAP!!
Match the graph with its function. Which is an example of growth decay?

What type of sequence is shown below:
3,6,9,12,15 1,3,9,27,81

The first sequence has a common:

The second sequence has a common:

Answers

My answer is correct!

The first sequence has a common difference( arithmetic progression)

The second sequence has a common ratio( geometric progression)

Brainliest plss !!!
Have a good day :)

A coffee machine was bought for £2,000, it depreciates in value by 8% each year. How much is it worth after 3 years?

Answers

2000 x 0.92^3 = £1557.38 after 3 years

16 x + 5y when x = 1/4 and y = 8

Answers

Answer:

44

Step-by-step explanation:

16x + 5y

16( 1/4 ) + 5( 8 )

4 + 40

44

I hope this helps!

in a class of 36 students, 12 are boys the percentage of girls in the class is?​

Answers

24% since 12+24=36 do you have answer choices???

I would love the pleasure of someone helping me with the answer ​

Answers

Answer:

A, B, E, and F

Step-by-step explanation:

Which graph represents f(x)=−2cos(4πx)?

Answers

Answer:

the last one (bottom right)

Step-by-step explanation:

4×pi is the same as twice around the whole circle to the beginning. it is the same as 0°, and cos(0) = 1, and then -2×cos(0) = -2

so, we only need to look, where the function reaches -2.

it should be at x = 0, x = 0.5 and x = 1.

PLEASE HELP ILL GIVE BRAINLIEST TO FIRST ANSWER

Answers

Answer:

x =11

Step-by-step explanation:

6x +1 + 5x -17 + 9x - 24 = 180

x =11

What is the standard notation for the distance of 8.512 x 10^10 miles (10 to the tenth power)

Answers

I'm not sure what the answer can be for this

Answer:

85120085120000000

Explanation

THIS IS DUE IN 5 mins i need help .Rewrite the fraction in the sentence below as a percentage. In , 2012 a fire destroyed 11/20 of the farmer's crops.

Answers

Answer:

55%

Step-by-step explanation:

first, you have to divide 11 by 20

11 divided by 20 = 0.55

then you multiply the resulting decimal value by 100 and add the percent symbol (%)

(0.55*100% = 55%

so that's how you get a percentage of 55%

you're welcome

Your class has 28 students if 25 of them play soccer how many students play soccer?

Answers

Answer:

7 students

Step-by-step explanation:

"Of" in math most of the time means multiplication.

28 x 25% = 7

That also means that 21 students DO NOT play soccer.

The Phi Theta Kappa fraternity has 160 sweatshirts and 60 pairs of sweatpants available to sell. During rush week, they decided to offer two package deals to students. Package A has two sweatshirt and one pair of sweatpants for $40. Package B has four sweatshirts and one pair of sweatpants for $20. The fraternity wants to sell at least 10 of Package A and at least 10 of Package B. How many of each package type must they sell in order to maximize their revenue?

Answers

Answer:

is this high school

Step-by-step explanation:

srry cant help

Find all numbers whose absolute value is -9.
If there is more than one, separate them with commas.
If there are no such numbers, click on "None".

Answers

Answer:

-9 and 9

Step-by-step explanation:

|-9| = 9

|9| =  9

Only -9 and 9 can have an absolute value of 9

You earn $17.50/hour, if you work 28 hours week 1 and 25 hours week 2 determine how much you will make for the two weeks before deductions?

Answers

927.5 17.50x28+25x17.50

Answer:

$122.50

Step-by-step explanation:

17.50                  

x25      

437.50

x 28      

$122.50

The Panthers did not score more points than the Tigers. The Tigers scored fewer points than the Lions. The Lions scored fewer points than the Wolverines but more points than the Panthers. Which team scored more points, the Wolverines or the Panthers?

Answers

Answer:Wolverines

Step-by-step explanation:

The panthers <  tigers               Tiger  1

Tigers  <   Lions                          Lions  2

Lions< wolverines                      Panthers   0

Lions> Panthers                         Wolverines  1

Even though the lions scored more wolverines scored more than the panthers since the panthers didn't score a single point according to my calculations

Suppose the monthly charges for cell phone plans in the U. S. Are normally distributed with a mean of $62 and a standard deviation of $10. What is the proportion of cell phone plans charging less than $42 a month for service?

Answers

Using the normal distribution, it is found that 0.0228 = 2.28% of cell phone plans charge less than $42 a month for service.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 62, \sigma = 10[/tex].

The proportion of cell phone plans charging less than $42 a month for service is the p-value of Z when X = 42, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{42 - 62}{10}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

0.0228 = 2.28% of cell phone plans charge less than $42 a month for service.

More can be learned about the normal distribution at https://brainly.com/question/24663213

what is the distributive property of 6(2x + 5y).

Answers

Answer:

12x+30y

Step-by-step explanation:

6*2x+6*5y

12x+30y

Answer:

12x+30y

Step-by-step explanation:

6(2x+5y)

The distributive property is used if a number is in the form

[tex]a(b+c)[/tex]

To solve this problem, you need to multiply b and c by a.

[tex]=ab+ac[/tex]

Now, let's plug in your numbers.

a = 6

b = 2x

c = 5y

[tex]6(2x+5y)\\=(6)2x+(6)5y\\=12x+30y[/tex]

Zach's zoo has two elephants. The male elephant weighs 3/5 of a ton and the female elephant weighs 1/5 of a ton. How much more does the male weigh than the female?

Answers

Step-by-step explanation:

I think 3/5 - 1/5 = 2/5 of a ton

What is the slope of the line that passes through the points (9, -10) and (14,5)?
Write your answer in simplest form.

Answers

Answer:

3

Step-by-step explanation:

so you have to use the equation

y2 - y1 / x2 - x1

to find the slope

now all you have to do is substitute

-10 - 5 / 9 - 14

-15/ -5

3

Answer:

[tex]m=3[/tex]

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(9,\:-10\right),\:\left(x_2,\:y_2\right)=\left(14,\:5\right)[/tex]

[tex]m=\frac{5-\left(-10\right)}{14-9}[/tex]

[tex]\mathrm{Refine}[/tex]

[tex]m=3[/tex]

please help me! geometry help needed.

Answers

Answer: Choice D

181 grams

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

Explanation:

First we need to find the volume of the tennis ball

Since the diameter is d = 6 cm, it divides in half to a radius of r = 3 cm.

[tex]V = \text{volume of a sphere}\\\\V = \frac{4}{3}\pi*r^3\\\\V \approx \frac{4}{3}*3.14*3^3\\\\V \approx 113.04 \ \text{ cm}^3\\\\[/tex]

This leads to

[tex]\text{density} = \frac{\text{mass}}{\text{volume}}\\\\D = \frac{M}{V}\\\\M = D*V\\\\M \approx 1.6*113.04\\\\M \approx 180.864\\\\M \approx 181 \text{ grams}\\\\[/tex]

Will give brainliest if you find the mean
10, 10, 20, 40, 70

Answers

Answer:

30

Step-by-step explanation:

10+10+20+40+70=150

150/5=30

hope this helps!

Answer:

ok so find the average first we have to add up

10+10=20

20+40=60

70+20=90

90+60=150

then we have to divide by the number so 5 since their is 5 number in the date set

150/5=30

30

Hope This Helps!!!

The box below represents some data set what is the range of the data

Answers

Answer:

Maximum value-minimum value=answer

Calculate the volume. Round your answers to the nearest tenth if necessay

Answers

Answer:

384 cm^3

Step-by-step explanation:

Use the formula to find the volume.

Volume = Area of the base x the height

V = Bh

V = 32(12)

V = 384 cm^3

PLEASE HELP!!!!!
4. A cube has a volume of 64 m². What is the cube's surface area?
12 points!!! <333

Answers

Answer:

Surface area = 96 m^2

Step-by-step explanation:

Let's cube root the volume to find the length of one side of the cube.

[tex]64^\frac{1}{3} = 4[/tex]

Therefore each side is 4 m.

Surface area of one side = 4x4 = 16

A cube has 6 sides.

Total surface area of the cube = 16*6 = 96 m^2

100 points! please help meeee.
find the missing dimensions on the figure

Answers

Answer:

r = 2 and n = 3

Step-by-step explanation:

9 = r + 3+ 4

9 = r + 7

r = 2

10 = n +2 + 5

10 = n + 7

n = 3

Answer:

r = 2 ft

n = 3 ft

area = 61 ft²

explanation:

total length : 10 fttotal width : 9 ft

-------------------------------

n + 2 + 5 = 10 n = 10 - 7n = 3 ft

-------------------------------

r + 3 + 4 = 9 r = 9 - 7r = 2 ft

-----------------------------

Area of the entire figure:

length * width9 ft * 10 ft90 ft²

Area of the missing side:

5 * (3+2) + 2 * 229 ft²

So area of the shape:

90 ft² - 29 ft²61 ft²

Triangle ABC has vertices A(-4, 3), B(2, 3), and C(-5, 1). A
dilation with a scale factor of 5 and center at the origin is applied to this triangle.
What are the coordinates of C' in the dilated image?
Enter your answer by filling in the boxes.
C' has a coordinate pair of (O

Answers

Answer: (-25, 5)

Step-by-step explanation:

Answer:

-25 5

Step-by-step explanation:

Triangle F GH is formed by connecting the midpoints of the side of triangle CDE.
The lengths of the sides of triangle DE are shown. Find the perimeter of triangle
FGH. Figures not necessarily drawn to scale.

Answers

Answer: 6

Step-by-step explanation:

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