Hurry !!Answer each question about the following
geometric series
10
k-1
What is the first term of the series?
a =
S10 - 3(2)k-1
RETRY
k-1
How many terms are in the series?
1
2
9

10
COMPLETE

Hurry !!Answer Each Question About The Followinggeometric Series10k-1What Is The First Term Of The Series?a

Answers

Answer 1

Answer:

last term is 1536

Value of the geometric series is 3,069

Step-by-step explanation:

took one for the team

Hurry !!Answer Each Question About The Followinggeometric Series10k-1What Is The First Term Of The Series?a
Answer 2

There are 10 terms in the geometric series.

And, The first term of the series is, 3

We know that;

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

Given that;

The geometric series is,

⇒ S₁₀ = ∑ 3 (2)ⁿ⁻¹

Where, n is from 1 to 10.

Thus, We get;

There are 10 terms in the geometric series.

And, For first term;

Put n = 1;

⇒ S₁₀ = ∑ 3 (2)ⁿ⁻¹

⇒ S₁₀ = ∑ 3 (2)¹⁻¹

⇒ S₁₀ = ∑ 3 (2)⁰

⇒ S₁₀ = ∑ 3 × 1

⇒ S₁₀ = 3

Thus, The first term of the series is, 3

Learn more about the geometric sequence visit:

https://brainly.com/question/25461416

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Related Questions

f(x)=3(0.75)x exponential growth or exponential decay​

Answers

Answer:Exponential Decay


Explanation: It’s less than 1

Can someone help me with this now !

Answers

Answer:

its either B or D.

Step-by-step explanation:

could you mark me brainliest pls or even hit the thanks button

Determine the equation of the circle graphed below.

Answers

Answer:

[tex] (x + 7)^2 + (y + 4)^2 = 4 [/tex]

Step-by-step explanation:

The equation of a circle with radius r and center (h, k) is:

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

This circle has center (-7, -4) and radius 2.

The equation is:

[tex] (x + 7)^2 + (y + 4)^2 = 4 [/tex]

A rhombus is cut along the diagonals to make four triangles.
Which three statements are correct for any rhombus.

A: All four triangles are isosceles.
B: All four triangles are congruent.
C: All four triangles are right-angled.
D: Perimeter of rhombus = 4 times the perimeter of one triangle.
E; Area of rhombus = 4 times the area of one triangle.

Answers

Answer:

B: All four triangles are congruent.

C: All four triangles are right-angled.

E; Area of rhombus = 4 times the area of one triangle.

Step-by-step explanation:

A rhombus is a quadrilateral with equal length of sides. It stands on one of its edges, and a simple example is the shape of a diamond. It has two diagonals which bisect the angles of the rhombus.

When a rhombus is cut along its diagonals, the following properties of the shape formed can be observed:

B: All four triangles are congruent.

C: All four triangles are right-angled.

E; Area of rhombus = 4 times the area of one triangle.

Describe fully the single transformation that mata tange onto anges
3
2
1
4
5320
4
2
-4

Answers

Answer:

mee.com/pbj-kbyh-bzm

join it fast

Martin had 60kgs of sugar. He put the sugar weighing 3/4 kg. How many packets did he fill ??

Answers

Answer:

45kg

Step-by-step explanation:

60.3/4=45

25 + 8 (7y - 3) + 3y

Answers

Answer:

59y+1

Step-by-step explanation:

25 + 8 (7y - 3) + 3y

Distribute

25+56y-24+3y

Combine like terms

59y+1

Identify each expression with a sum of x2 + 3x +1.

Answers

Answer:

There are no like terms.

Step-by-step explanation:

I need help very quickly, please!!​

Answers

Answer:

32ft

Step-by-step explanation:

Tan = opp/adj

Tan(65) = n / 15

Tan(65) x 15 = n

n = 32.16 = 32ft

Answer:

32 feet

Step-by-step explanation:

Hi there!

We are given a right triangle and the angle of elevation (one of the acute angles in the triangle) as 65°, as well as one of the legs (sides that make up the right triangle) as 15

We need to find the height of the triangle.

Let's make the height of the triangle (the side we need to find) x

Since we need to find the height of the triangle, let's use tangent. As we have the angle of elevation given, we'll use that.

Recall that tangent is [tex]\frac{opposite}{adjacent}[/tex]

in reference to the angle of elevation, the opposite side is x, and the adjacent side is 15

that means that:

tan(65)=[tex]\frac{x}{15}[/tex]

plug tan(65) into your calculator (make sure it's on degree mode!)

tan(65)≈2.14

2.14=[tex]\frac{x}{15}[/tex]

multiply both sides by 15 to clear the fraction

32.1=x

The problem asks us to round to the nearest foot, so the height of the building is 32 feet

Hope this helps! :)

Combining functions: Consider functions f and g.

Answers

Answer:

option C

Step-by-step explanation:

(Find m∠IGH) m∠IGH =

Answers

Answer:

∠IGH = 50°

Hope this helps! :)

What combination of bracelets does dimitri have?

Answers

7 simple and 3 deluxe bracelet


6. Find the slope of the line that passes through the following 2
points. Use the slope formula.
(-2, 4) (2, 4)

Answers

Answer:

You would do the change in y over the change in x.  

That means you subtract your y values and that's the numerator.  Subtract your x values and that is your denominator.  Then simplify.

(4 - 4)

______

(-2 - 2)

Step-by-step explanation:

Answer: y=4

Step-by-step explanation:

4 is the y-intercept. The slope is 0

HURRY !!!!!! Which describes the correlation shown in the scatterplot?

Answers

No correlation is shown.

Help? Solve the system of equations.

y = 3x
y = x2 + 3x – 16
solutions: ( );( )

Answers

Answer:

(- 4, - 12 ) , (4, 12 )

Step-by-step explanation:

Given the 2 equations

y = 3x → (1)

y = x² + 3x - 16 → (2)

Substitute y = x² + 3x - 16 into (1)

x² + 3x - 16 = 3x ( subtract 3x from both sides )

x² - 16 = 0 ( add 16 to both sides )

x² = 16 ( take the square root of both sides )

x = ± [tex]\sqrt{16}[/tex] = ± 4

Substitute these values into (1) for corresponding values of y

x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )

x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )

In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers, If Anju's scores in four successive rounds were -14, 15, -11 and 20. What was her total at the end.

Answers

Answer:

10

Step-by-step explanation:

-14+15 leaves a positive 1

-11+20 leaves a positve 9

add.

5 out of every 11 children in a school are girls. What is the ratio of girls to boys in the school?

Answers

5:6 is the answer and that still isn’t enough words maybe if I type what I am saying it will be 20 characters

What is the following values of:

XZ:

XY:

Answers

it’s 5 square root 2 and 5

Help me pls it’s number 8, will give brainliest but quickly pls
Write each number in standard form.

Answers

1. 20010000
2. 0.0819
3. 137000
4. 0.00060041

Answer:

35010

.08190

- 137000

- .00060041

Step-by-step explanation:

positive exponents add zeros to end and move decimal place to right the amount of the exponent.

negative exponents add zeros to begininng and move decimal to the left.

the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

[tex]\sqrt{14}[/tex]

Step-by-step explanation:

In any square with side length [tex]s[/tex], the diagonal of the square is equal to [tex]s\sqrt{2}[/tex]. Since the side length of this square is [tex]\sqrt{7}[/tex], the diagonal is equal to [tex]\sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}[/tex].

Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle, and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.

In this question, both legs are equal to [tex]\sqrt{7}[/tex], and we're solving for the diagonal, which is the hypotenuse in this case:

[tex]\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}[/tex]

Mr. O'Donnell goes to the store to buy a shirt. The shirt is $20, but he also has to pay a 9% tax. What is the total price he has to pay?

Answers

Answer:

The total price that he has to pay is $21.8.

Step-by-step explanation:

Mr. O'Donnell goes to the store to buy a shirt. The shirt is $20, but he also has to pay a 9% tax.

First you convert the sales tax percentage to its decimal form: in this case 9% becomes 0.09.

To calculate the cost of the tax, the following multiplication must be performed:

cost of product or service* sales tax (in decimal form) = total sales tax

In this case:

$20*0.09= $1.8

Finally, you must add the value of the total sales tax to the cost of the product or service to obtain the total cost. In this case:

$20 + $1.8= $21.8

So, the total price that he has to pay is $21.8.

Write the equation of the line that passes through the points (8,1) and (-1,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer:

y-3 = -2/9(x+1)

Step-by-step explanation:

Here, we want to find the standard equation

Generally, we have the equation as;

y = mx + b

where m is the slope of the line and b is the y intercept

To find the slope, we use the slope equation

m =y2-y1/x2-x1

m = (3-1)/(-1-8) = 2/-9 = -2/9

So to write in point slope form, we can use any of the two points

We have;

y-y1 = m(x-x1)

using (-1,3)

y-3 = -2/9(x+1)

Louise begins factoring the polynomial, which has four terms. 8x3+24x2+10x+30 2(4x3+12x2+5x+15) 2[4x2(x+3)+5(x+3)] Which is the completely factored form of her polynomial? 8x2(x + 3)2 2x(4x2 + 5) 2(4x2 + 5) (x + 3) 2(4x2 + 5) (x + 3)2

Answers

Answer:

[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]

Step-by-step explanation:

Given

[tex]8x3+24x2+10x+30= 2(4x^3+12x^2+5x+15)[/tex]

[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]

Required

The complete factored form

We have:

[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]

Factor out x + 3

[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]

The above represents the completely factored form

Answer:

C on edge

Step-by-step explanation:

I took the test

Solve for x.
3x + 7
2x + 3)

Answers

Answer: x = 34

Step-by-step explanation:

2x+3+3x+7=180

5x+10=180

5x=170

x = 34

x=34 your welcome !!!

Given JKL: XYZ, find x.

Answers

Answer:

is there a pic to go along? i need more to this..

Mohamed and Miguel go to the movie theater and purchase refreshments for their friends. Mohamed spends a total of $18.25 on two bags of popcorn and three
drinks. Miguel spends a total of $27.50 for four bags of popcorn and two drinks.
a) Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
b) Using your system from part a), determine and state the price of one bag of popcorn and the price of one drink.

Answers

If p is the price of a bag of popcorn and d is the price of a drink
2p + 3d = 18.25 Mohamed’s order
4p + 2d = 27.50 Miguel’s order
If we double the first equation
4p + 6d = 36.50
Now subtract the second equation (find the difference between them)
4d = 9.00
d = 2.25
Substitute in the first equation
2p + 3 x 2.25 = 18.25
2p = 18.25 - 6.75 = 11.50
p = 11.50 / 2 = 5.75

Popcorn was $5.75 a bag and drinks were $2.25 each

Help plz this is really hard for me

Answers

Answer:

Improper fraction: 13/10

Mixed number: 1 3/10

Decimal: 1.3

Step-by-step explanation:

Find common denominator: which is 30

Make each denominator equal 30, affecting the whole fraction:

6•2/15•2 + 3•3/10•3 + 3•6/5•6 =

12/30 + 9/30 + 18/30 = 39/30

Simplify: 39/30, divide both by 3: 13/10

And there is our answer!

Hope this helps, good luck! :D

Answer:

39/30

Step-by-step explanation:

Kendra bought a gallon of milk and StartFraction 5 over 6 EndFraction of a pound of oranges. If the gallon of milk cost $3.60 and she spent a total of $4.35, which equation can be used to determine x, the cost of a pound of oranges?
3.60 + StartFraction 5 over 6 EndFraction x = 4.35
4.35 + StartFraction 5 over 6 EndFraction x = 3.60
3.60 x + StartFraction 5 over 6 EndFraction = 4.35
4.35 x + StartFraction 5 over 6 EndFraction = 3.60

Answers

Answer:

A. 3.60+5/6x=4.35  

Step-by-step explanation:

Total cost = milk + price per pound of oranges* number of pounds  

We know the total cost = 4.35 and the cost of the milk = 3.60  and the number of pounds of oranges = 5/6  

4.35 = 3.6 +5/6 * x

Answer:

a

Step-by-step explanation:

Thang decided to borrow ​$90 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 40​%. How much interest will Thang​ pay?

Answers

Answer:

Step-by-step explanation:

P = 90

r = 40% = 40/100 = 0.4

t = 3 years

It is not clear to me what this means. Is the 40% for each year for 3 years or is the interest rate = 40% period. I know that in some of the poorer countries, this is not an unusual amount to pay for each year he holds the loan.

I will take it as 40% for each year for 3 years.

i = prt = 90 * 0.4 * 3

i = 108

To get 400 as quotient, what number is to be divided by 16?

400+16
400 -16
400÷16
400× 16

Answers

Answer:

400×16

Step-by-step explanation:

let the number be n.

[tex] \frac{n}{16 } = 400 \\ 16 \times \frac{n}{16} = 400 \times 16\\ n = 400 \times 16[/tex]

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