Find the sum of the first 8 terms of the following series, to the nearest integer.16,20,25

Answers

Answer 1

The correct answer is 317.

Answer 2

The sum of the first 8 terms of the series, to the nearest integer is,

⇒ S₈ = 317

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The series is,

⇒ 16, 20, 25,

Now, We get;

Common ratio = 20 / 16 = 5 / 4

And, 25 / 20 = 5 / 4

Thus, The series is geometric series.

Hence, The sum of the first 8 terms of the series, to the nearest integer is,

⇒ S₈ = 16 ((5/4)⁸ - 1) / (5/4 - 1)

⇒ S₈ = 16 (390625/65,536 - 1) / (1/4)

⇒ S₈ = 16 × 4 (325,089 / 65,536)

⇒ S₈ = 317.46

⇒ S₈ = 317

Thus, The sum of the first 8 terms of the series, to the nearest integer is,

⇒ S₈ = 317

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Related Questions

which equation has (2, -1) as a solution
a. y=2x-1
b. y=x+3
c. y=x-3
d. y=-2x+1

Answers

Answer:

y=x-3

-1=2-3=-1

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

There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest inch, how many inches are in 8 meters?

Answers

Answer:

314.96in

Step-by-step explanation:

What is the equation in stope intercepe form of the line that passes through the points (-4.47) and (2.-16)​

Answers

Answer:

[tex]y = -\frac{21}{2}x+5[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

Required

The equation in slope intercept

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

So:

[tex]m = \frac{-16 - 47}{2 - -4}[/tex]

[tex]m = \frac{-63}{6}[/tex]

Simplify

[tex]m = -\frac{21}{2}[/tex]

So, the equation is calculated as:

[tex]y = m(x - x_1) + y_2[/tex]

This gives:

[tex]y = -\frac{21}{2}(x - -4) + 47[/tex]

[tex]y = -\frac{21}{2}(x+4) + 47[/tex]

Open bracket

[tex]y = -\frac{21}{2}x-42 + 47[/tex]

[tex]y = -\frac{21}{2}x+5[/tex]

A card game requires that you have a sum of 5 in order to win. Based on the cards shown below, will Cameron win the game? Look at the picture above​

Answers

Answer:

D

Step-by-step explanation:

look at pic 10 pts will mark brainilest

Answers

Answer:

can we go with D. 54 ?

the height and length is 9 and 6

9x6= 54

Answer:

B . 27 square units

Step-by-step explanation:

Area of triangle is 1/2 ×b×h

base is MN = 6 units

hight is 9 unis

so 1/2 ×6×9 = 3×9 =27 square Units

40 POINTS!!!
Which polynomial contains the powers in descending order?

Answers

Answer:

B.

Step-by-step explanation:

SOLVE FOR X AND Y!!! DUE IN 2 HOURS!!!

Answers

Answer:

x = 5, y = 5

Step-by-step explanation:

The scale changes from 8 to x+y

to find the change in scale, use the bottom values.

2 + 3 = 5 | 1 + 3 = 4

5/4 = 1.25 (the scale)

8 * 1.25 = 10

x+y = 10

There are 2 possibilities for this, but I feel like it is possibility #1

1. x = 5, y = 5

2. x = 4, y = 6

what is the value of the expression below? (64^3)^1/6

Answers

Answer:

(64^3)^(1/6)

=(64)^(3×1/6)

=(64)^(1/2)

=(8^2)^(1/2)

=(8)^(2×1/2)

=8^1

=8

8 is the correct answer of your question...

Answer:

8

Step-by-step explanation:

Remember the phrase "power to a power means to multiply the exponents"

That is, if you have a number (call it x) raised to a power (call it b), and that whole expression is raised to a power (call it c), it's the same as that number  x raised to the power of the product of those two powers.

[tex](x^a)^b = x^a^b[/tex]

Here's an example showing to give some intuition behind this (and a way to derive the above formula if you forget it):

[tex]x^3 = x*x*x\\(x^3)^2 = (x*x*x)^2 = x*x*x*x*x*x = x^6[/tex]

Or more simply,

[tex](x^3)^2 = x^(^3^*^2^) = x^6[/tex]

So in this case:

[tex](64^3)^\frac{1}{6} = 64^(^3^*^\frac{1}{6}^) = 64^\frac{1}{2} = 8[/tex] (remember a number raised the to the power of 1/2 is the square root of the number; in this case, the square root of 64 is 8)

What is Bc and what is ac

Answers

Answer:

Before and after current era

Amelia went shopping for a new camera because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?

Answers

Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.

What is percentage?

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The discount on new camera bought by Amelia = 30%.

To find the number that Amelia should multiply to pay,

Let The required number be x,

and total price of the camera is 100%

So after discount the price of camera = 100 - 30 = 70%

Implies that,

100 × x = 70

x = 70 / 100

x = 7 / 10

So the required number is 7/10 that Amelia should multiply the price she would have to pay.

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help with this math assignment

Answers

A:
2)6x6=36
3)7x7=49
5)11x11=121
6)13x13=169
7)20x20=400


B:
1)8 5)2
2)10 6)0
3)9 7)5
4)4 8)12



Subtract. 82.6 - 27.9​

Answers

Answer:

the answer is 54.7

Step-by-step explanation:

82.6 - 27.9 = 54 7

What is the area of the figure . Round to the nearest tenth.

Answers

Answer: its 40.0 m²

Step-by-step explanation:

A=wl=4·10=40.0 m²

your welcome

Answer:

the answer is D

Step-by-step explanation:

Suppose a student typically spends 5/2 hours each week doing research on the Internet. How much research time does a student spend each device in 1 week?​

Answers

Answer:

Step-by-step explanation:

5/2 hours = 2 1/2 hours

2 1/2 hours = 120 minutes + 30 minutes = 150 minutes.

I don't know if he has more than 1 device or not. But if he does, then this time is the base and you just multiply by 2 1/2 for each device.

Answer:

Solution given:

a student typically spends 5/2 hours each week

research time does a student spend each device in 1 week=5/2=2hours and 30min=150minutes

Help please!! Due in 10 min

Answers

Answer:

Hello Answer: V = 20

Step-by-step explanation:

Hope this helps!

9514 1404 393

Answer:

  v = 20 ft

Step-by-step explanation:

The similarity statement tells you the proportional sides:

  IH/IK = IG/IJ

  v/(10 ft) = (16 ft)/(8 ft)

  v = 10 ft × (16 ft)/(8 ft) = 10 ft × 2

  v = 20 ft

hewp pwease ☺️thanks

Answers

The Answer Is 35 Inches Squared

Parka's and more was having a 10% off sale. Find the amount saved on a rain jacket that regularly costs $74.00.

Answers

Answer:

7.4

Step-by-step explanation:

10% of 74 is 7.4 by moving the decimal over one place. This will save them $7.40

Think the answer is 7.4 hope this helps .

What shape are the faces, other than the base,
of a pyramid?

Answers

Answer:

The base of the pyramid is a triangle, and the lateral faces are also triangles.

Solve the simultaneous equations
2x - 5y = 9
3x + 4y = 2

Answers

Answer:

x = 2

y = 1

Step-by-step explanation:

Answer:

x= 2

y= -1

Step-by-step explanation:

A
Cylindrical container with Circular base
is hold 64 cubic centimetres. Find the
dimension so that the amount(surface area)
of metal required is a minimum when
( a ) the container is an open cup and ( b ) a
Closed can​

Answers

Answer:

annhbhhnnnnnnbhhhbbbbbbbbbbbbbbbbbbbbbbbnbnnnnnnnnnnnnnnnnnnnnnn 24cm2

!NO LINKS, NO FILES!

please :)

Answers

Answer:

132

Step-by-step explanation:

Area of a triangle = [tex]\frac{bh}{2}[/tex]

where b = base and h = height

The following triangle has a base length of 33 m and a height of 8 m

Using this information we plug in the values into the formula

[tex]A=\frac{33*8}{2} \\33*8=264\\\frac{264}{2} =132[/tex]

hence, the area of the triangle is 132 square meters

Ralphie's dad has a nutritionist who instructed him to consume less than 2,163 calories per day. He has already consumed 1,503 calories today and wants to eat some fruit bars that are 66 calories each. Which of the following inequalities could be used to solve for x, the number of fruit bars Ralphie's dad can eat without going over his calorie allotment?

Answers

Answer:

Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.

What is the volume of a rectangular prism with the dimensions

Answers

Para calcular el volumen  de un prisma rectangular, multiplica sus 3 dimensiones: longitud x ancho x altura.

Determine the amplitude or period as requested. Amplitude of y = cos 5x a (2pi)/5 b 1 d 5

Answers

Answer:

The amplitude is 1

Step-by-step explanation:

Given

The right function is:

[tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]

Required

Determine the amplitude

The general cosine function is:

[tex]y = A\cos(k(x + c)) +d[/tex]

Where

[tex]Amplitude = |A|[/tex]

Compare [tex]y = A\cos(k(x + c)) +d[/tex] and [tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]

[tex]A = 1[/tex]

So:

[tex]Amplitude = |1|[/tex]

So, we have:

[tex]Amplitude = 1[/tex]

⚠️PLEASEEEEE HELPPPPPP !!!

Answers

Answer:

38

Step-by-step explanation:

I'm pretty sure its just the same

Find the volume of the composite solid shown in figure

Answers

Answer:

113.14cm^3

36π cm^3

Step-by-step explanation:

the composite solid is made up of a cylinder and a hemisphere

volume of solid = volume of cylinder + volume of hemisphere

volume of a cylinder = nr^2h

n = 22/7

(22/7) x (3^2) x 2 = 56.57 cm^3

or in terms of pi = 18π

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

(2/3) x (22/7) x (3^3) = 56.57 cm^3

or in terms of pi = 18π

volume of solid = 56.57 cm^3  x 2 = 113.14cm^3

or 18π x 2 = 36π cm^3

56.57

NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. In an earlier study, the population proportion was estimated to be 0.3 . How large a sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 80% confidence level with an error of at most 0.03

Answers

Answer:

A sample of 383 would be required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In an earlier study, the population proportion was estimated to be 0.3.

This means that [tex]\pi = 0.3[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

How large a sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 80% confidence level with an error of at most 0.03?

A sample of n is needed.

n is found when M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.28\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.28\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{1.28\sqrt{0.3*0.7}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.28\sqrt{0.3*0.7}}{0.03})^2[/tex]

[tex]n = 382.3[/tex]

Rounding up:

A sample of 383 would be required.

Now, find the difference. What is 3 1-14 6 8 1 3. 2 - 1 6 = 3 12 12​

Answers

Answer:

3 1/2 - 1 4/6= 1 5/6

Step-by-step explanation:

Help sue at 12am and it’s 10 pm



..........plsssssssssssssssss

Answers

Answer:

a = 4

b = 5

c =6

Step-by-step explanation:

i hope it helps

the answers are absolutely correct

ABCD is a square and it's side is 16 cm long. What is the area of the shaded part?​

Answers

Answer:

I'm sorry I can't help because I don't know what part is shaded.  Note: Since a square has the same length for each side all the sides are 16 cm.

Area and Perimeter for WHOLE square:

A: 256 sq cm

P: 64 cm

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