The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is 5. What is the first term of series?

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Suppose

S = sum of the six termsa1 = the first term

[tex]\left. { S = a _ { 1 } \frac { 1 - 5 ^ { 6 } } { 1 - 5 } } \\\\ { \Leftrightarrow S = \frac { a _ { 1 } } { 4 } ( 5 ^ { 6 } - 1 ) } \\\\ { \Leftrightarrow a _ { 1 } = \frac { 4 S } { 5 ^ { 6 } - 1 } } \right.[/tex]

then a1 = (4×15 624)÷(5^(6)-1)

            = 4


Related Questions

based only on the given information, it is guaranteed that...

Answers

Answer:

I think it's TRUE

Since they're congruent triangles according to the given.

I’m pretty sure it’s true!

Which belongs to which? Will mark brainliest

Answers

Vertical angles= two angels in the same potion different lines

MS. Winkler surveyed her students in just one class with 30 students to see how many siblings each of them had. Here are the results

Only child: 5
1 sibling: 7
2 siblings: 13
3 or more siblings: 5

If she were to survey all 140 of her students, predict how many total have just 1 sibling. (Round to the nearest whole number)


Answer choices:
a)33
b)30
c)42
d)2

Answers

the correct answer is b

Please help The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.

Answers

Answer:

The full steel bead tire would weigh 1.5432358353 pounds, or about 1.8.              The lighter wheel weighs 1.5432358353 pounds, or about 1.5.                                  Together they weigh 3.086471671, or about 3.1 pounds.

What is the name given to integers that cannot be factored

Answers

Answer:

irreducible

Step-by-step explanation:

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial .

Answer:

prime numbers

Step-by-step explanation:

prime numbers are only divisible by themselves and one, hence why they are not factor-able.

help PLEASE

urgent...​

Answers

Answer:

C!

Step-by-step explanation:

It appears that all choices have the 1st part the same, so we are looking at domains. I recommend drawing the functions without the domain limitations. We know that the linear function is closed so it's inequality is either [tex]\geq[/tex] or [tex]\leq[/tex]. So eliminate B and D. Since the quadratic function continues to the left the inequality sign should be <. So the answer is C

Circle B is shown. Line segments A B and C B are radii. The length of A B is 6. Sector A B C is shaded.

The measure of central angle ABC is StartFraction pi Over 2 EndFraction radians.


What is the area of the shaded sector?


6Pi units squared

9Pi units squared

18Pi units squared

36Pi units squared

Answers

Answer:

B

Step-by-step explanation:

The area of the shaded sector is 54 pi units squared

How to calculate the area of a sector.

The formula for calculating the area of a sector is expressed as:

[tex]A = \frac{\theta}{360} \times \pi r^2[/tex]

Given the following parameters

[tex]\theta = \pi/2\\r = 6units\\[/tex]

Substitute the given parameters into the formula

[tex]A=\frac{90}{360} \times \pi (6)^3 \\A = \frac{1}{4} \times 216\pi\\A = 54 \pi units^2[/tex]

Hene the area of the shaded sector is 54 pi units squared

Learn more on area of sector here: https://brainly.com/question/22972014

What is the surface area

Answers

Answer:it is the yellow part

Step-by-step explanation:

because the yellow face is touching the floor

Answer:

Surface area:  A=496

Volume: V=640

Step-by-step explanation:

Shape: Rectangle Prism

Solved for volume

Formula for volume: L*W*H

Formula for surface area: 2(wl+hl+hw)

To calculate the volume

1: First calculate the width, height, and the length. Which is Length: 16ft  Width: 8ft  Height: 5ft.  

Answer for volume: V=640

To calculate the surface area:

1: Use the formula wl+hl+hw. So plus the length, width and the height which is.  Height: ft   Width: 8ft   Length: 16ft.

Answer for surface area: A=496

Hope this helps.

suppose an experiment is rolling a dice and tossing a coin . list the elements of the sample space.

Answers

Answer:

S = {1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}

Step-by-step explanation:

A sample space is the set of all outcomes that may come. It consists of all the values that may result in result of an experiment.

In the given problem, we have to find the sample space of rolling a dice and flipping a coin

As the dice has 6 sides and coin has 2 sides

The number of outcomes are: 6*2 = 12

The outcome of dice can either be with heads of coin or tails of coin.

The sample space will be:

S = {1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}

Keywords: Sample Space

Is this right or wrong?Tell me if I need to change my answer.​

Answers

Answer:

Yes you are correct

Step-by-step explanation:

Yea that is corrects

Rochelle works part-time at the college museum, which pays her at a rate of $10 per hour. She also makes small bracelets that she sells for $5 a piece. She needs to earn at least $200 a week to cover her expenses. Let x represent the number of hours that Rochelle works at the museum, and let y represent the number of bracelets she sells.

Answers

The answer to the question is 10x+20y

Answer:

the answer is

D

and the equation lays outside of the equation so she will not work for 5 hours and make 15 bracelets because it lays outside the region

If 3 drinks cost $9.00 , how much will 5 drinks cost

Answers

Answer:

5 drinks will cost $15

Step-by-step explanation:

3 drinks cost $9, makes them 3 dollars each. So 5*3=15

HELP PLS I WILL MARK BRAINLIEST PLS I NEED SOME HELP!!!

Answers

Answer:

the answer is d

Step-by-step explanation:

Most likely the answer is D

The answer is not c​

Answers

Answer:

It’s D

Step-by-step explanation:

2(6x+9−3x)=5x+21 PLEASE HELP !!

Answers

Answer:

x=3

Step-by-step explanation:

Simplifying

2(6x + 9 + -3x) = 5x + 21

Reorder the terms:

2(9 + 6x + -3x) = 5x + 21

Combine like terms: 6x + -3x = 3x

2(9 + 3x) = 5x + 21

(9 * 2 + 3x * 2) = 5x + 21

(18 + 6x) = 5x + 21

Reorder the terms:

18 + 6x = 21 + 5x

Solving

18 + 6x = 21 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

18 + 6x + -5x = 21 + 5x + -5x

Combine like terms: 6x + -5x = 1x

18 + 1x = 21 + 5x + -5x

Combine like terms: 5x + -5x = 0

18 + 1x = 21 + 0

18 + 1x = 21

Add '-18' to each side of the equation.

18 + -18 + 1x = 21 + -18

Combine like terms: 18 + -18 = 0

0 + 1x = 21 + -18

1x = 21 + -18

Combine like terms: 21 + -18 = 3

1x = 3

Divide each side by '1'.

x = 3

Answer:

x=3

Step-by-step explanation:

(12x+18-6x)=5x+21

6x+18=5x+21

x+18=21

x=3

Find the sum of the measures of the interior angles of a hexagon. A. 900. B.360. C. 720. D.1080

Answers

Answer:

C 720`

Step-by-step explanation:

The sum of the interior angles of the hexagon is S = 720°

What is the sum of the interior angles of a polygon?

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the sum of the interior angles of a hexagon be S

Let the polygon be represented as a hexagon

Now , the number of sides of a hexagon is n = 6

So , sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

On simplifying , we get

nθ = S = 180 ( 6 - 2 )

S = 180 x 4

S = 720°

Therefore , the value of S is 720°

Hence , the sum of the interior angles of hexagon is 720°

To learn more about sum of interior angles of a polygon click :

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plz help me awnser them right i need it know if your just here for points il report you help me

Answers

Answer:

1. 18v+40
2. 16s-20
3. 17b+3s
4. 42s+13t+5
5. -46r+12s+5

Solving Steps

Problem 1:
1. Distribute 8 with v and 6
2. Combine like terms

Problem 2:
1. Distribute 4 with s and -5
2. Combine like terms

Problem 3:
1. Distribute 5 with b and 4
2. Distribute -3 with -4b and -5
3. Combine like terms

Problem 4:
1. Distribute -9 with -7s and -3t
2. Distribute 7 with -3s and -2f
3. Combine like terms
4. Add 5 to the end of your answer

Problem 5:
1. Distribute -2 with 3r and 6s
2. Distribute 8 with -5r and 3s
3. Combine like terms
4. Add 5 to the end of your answer

A frame is marked down by 22 percent from an original price of $14.50. What is the new price? $3.19 $11.31 $13.72 $14.28 PLS HELP FAST IM BEING TIMED

Answers

Answer: 11:31

Explanation: 22 percent of 14.50 is 3.19, and because it is being marked down you subtract 3.19 from 14.50 to get this answer.

Answer:hi the answer is 11.31

Step-by-step explanation:

all you have to do is find what 22% of 14.50 and of course the answer is 11.31

pls be quick i feel stupid not knowing the answer

Answers

does not make sense

Answer:

584!

Step-by-step explanation:

Let's see. There is a missing side. Let's call that x. However, we know what the other sides are!

This is how we do it.

We know the largest side's length., 172.

Since we know the other sides, we can subtract their length from 172.

172-57-51-31=33

x=33

So now add the sides!

54+31+66+172+57+30+33+19+51+71\

584!

On Wednesday a local hamburgers shop sold a combined total of 568 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold.How many hamburgers were sold on Wednesday

Answers

Answer:

i think its 142

3) The sum and the difference of the LCM and GCD of two numbers are 312 and 264 respectively. Find the numbers if their sum is 168.

Answers

Answer:

The numbers are 72 and 96.

Step-by-step explanation:

LCM + GCF = 312

LCM - GCF = 264

2*LCM = 576

LCM = 576/2 = 288

HCF = 312–288 = 24

The product of two numbers = HCF*LCM

Let the numbers be x and (168-x)

x(168-x) = 24*288 = 6912

x^2–168x+6912 = 0

x = [168 +(168^2 -4*6912)^0.5]/2

= [168 +(28224–27648)^0.5]/2

= [168 + 576^0.5]/2

= (168+24}/2

= 192/2

= 96 and the other number is 168–96 = 72.

I need you to show your work for each problem
1-5

Answers

Answers:

2-7286.67-735-12

Please see the attached picture for full solution

Hope it helps...

Good luck on your assignment

HELP ASAP PLS !!!

What is the area of this triangle?
Enter your answer in the box.

Answers

Answer:

i believe its 6 units

Step-by-step explanation:

this is because you can slip the triangle into two different triangles and then find both their areas and combine them

Can anyone please help me with this geometry question?

The height of a parallelogram is three times its base. If the area of the parallelogram is 675 square inches, find its base and height.

Which of these choices are correct?


b = 25 in & h = 75 in

b = 75 in & h = 225 in

b = 45 in & h = 135 in

b = 25 in & h = 12.5 in

Answers

Answer:

Step-by-step explanation:

let base be x and height be 3x

we know area of parallelogram is

base*height

ie x*3x=675

3x^2=675

x^2=675/3

x^2=225

x= square root of 225

x=15

therefore base =15

height = 45

Zero
Undefined
Positive
Negative ?

Answers

Answer:

Zero

Step-by-step explanation:

The line is a straight line going across the x axis so there is no change in y so there is no slope because slope is the change of y.

find the x in the tringle

Answers

The right answer is 9.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment....

Answer:

x = 9

Step-by-step explanation:

→You can use the Pythagorean Theorem to solve:

[tex]a^2+b^2=c^2[/tex]

→The "a," and "b," are the legs, and the "c," is the hypotenuse. In this case, we are already given the hypotenuse as 41, and we are trying to find a leg:

[tex]40^2+b^2=41^2[/tex]

[tex]1600+b^2 = 1681[/tex]

→Subtract 1600 from both sides:

[tex]b^2=81[/tex]

→To get "b," by itself, square root both sides, like so:

[tex]\sqrt{b^2} =\sqrt{81}[/tex]

→81 is a perfect square meaning it has two factors that are identical.

[tex]b = 9[/tex]

Triangle DEF has vertex coordinates D(0, -3), E(-1,0), and F(-2,-1). It is
reflected across the y-axis. What are the coordinates of D'EF?

Answers

D (0, -3)
E (1, 0)
F (2, -1)

The coordinates of D'E'F' after reflection are,

D' = (0, - 3)

E' = (1, 0)

F' = (2, - 1)

We have to given that,

Triangle DEF has vertex coordinates D(0, -3), E(-1,0), and F(-2,-1).

Here, Triangle DEF is reflected across the y-axis.

The rule for a reflection over the y -axis is,

(x, y) → (- x, y)

Hence, the coordinates of D'E'F' after reflection is,

D' = (0, - 3)

E' = (- (- 1), 0) = (1, 0)

F' = (- (- 2), (- 1)) = (2, - 1)

Learn more about the coordinate visit:

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Which statement is true? The function is only increasing when x ≥ −8. The function is only increasing when x ≥ 0. The function is always decreasing. The function is always increasing.

Answers

Answer:

THE FUNCTION IS ALWAYS INCREASING.

Complete question: The graph of f(x)= power of 3√x + 8 is shown.

Step-by-step explanation:

See attachment for the missing graph.

when x = -16 ; y = -2

when x = -12 ; y = -1.5

when x = -8 ; y = 0

when x = -6 ; y = 1.25

when x = 0 ; y = 2

when x = 6 ; y = 2.5

As the value of x increases, so does the value of y. Thus, the function is always increasing. 

Answer:

D

Step-by-step explanation:

Simply the equation 3i(2-11i)

Answers

Answer:

6i + 33

Step-by-step explanation:

3i * ( 2 - 11i) = 6i - 33 [tex]i^{2}[/tex]

[tex]i^{2} = -1[/tex]

6i - 33 [tex]i^{2}[/tex]  = 6i - 33 * (-1) = 6i + 33

Answer:

6i+33

Step-by-step explanation:

formula of area of a semicircle

Answers

Answer:

[tex]\frac{\pi r^2 }{2}[/tex]

Step-by-step explanation:

pi r ^2 is the formula for a circle, a semicircle is half of that.

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