find the sum of the first 10 terms of the geometric sequence. NO LINKS!!!!

Find The Sum Of The First 10 Terms Of The Geometric Sequence. NO LINKS!!!!

Answers

Answer 1

9514 1404 393

Answer:

  9. about 5.785712587

  10. 1023

Step-by-step explanation:

The sum of n terms of a geometric series with first term a₁ and common ratio r is given by ...

  [tex]S_n=a_1\times\dfrac{r^n-1}{r-1}[/tex]

__

9. a₁ = 9/2, r = 2/9

  [tex]S_{10}=\dfrac{9}{2}\cdot\dfrac{1-(2/9)^{10}}{1-(2/9)}=\dfrac{498111911}{86093442}\approx5.785712587[/tex]

__

10. a₁ = -3, r = -2

  [tex]S_{10}=-3\cdot\dfrac{(-2)^{10}-1}{-2-1}=1023[/tex]


Related Questions

O
(-∞0,00)
(-2,00)
A
{rr > -1}
{x|x < -2}

Answers

The domain of the function whose graph shown in diagram is x ≤ 1.

What is the domain of a function?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

The domain of the function whose graph shown in diagram is x ≤ 1 as the value of x is less than 1.

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A surveyor measures from a point on the ground level that is 40 feet away from the building. the surveyor noted that the angle formed by the ground and the line of sight to the top of the building is 30°. how tall is the building?​

Answers

Answer:

sory

Step-by-step explanation:

This line plot shows how many hours of homework twelve students have. ​

Answers

Answer:

A. 2 1/2 hours

Step-by-step explanation:

This is about the range of the data.

The student with the most homework spent 4 1/2 hours and the student with the least homework spent 2 hours.

The difference is:

4 1/2 - 2 = 2 1/2 hours

Correct choice is A

Answer:

2 ¹/₂ hours

Step-by-step explanation:

From inspection of the given line plot:

Most number of hours of homework = 4 ¹/₂Least number of hours of homework = 2

To find the difference between the most and least number of hours of homework, subtract the smaller number from the larger number:

[tex]\sf \implies 4 \frac{1}{2} - 2 = 2 \frac{1}{2}[/tex]

Therefore, the difference, in hours, between the student with the most homework and the student with the least homework is 2 ¹/₂ hours.

Write down the gradient of a line parallel to the line drawn below...

Answers

Answer:

[tex]\rm Slope = -1[/tex]

Step-by-step explanation:

Given :-

A equation of line .[tex]\rm y = -x-3[/tex]

And we need to find out the gradient of the line. parallel to the given line .The gradient of the line is the " slope " of the line. The given equation is in slope Intercept Form , which is ,

Slope intercept form :-

[tex]\rm\implies y = mx + c [/tex]

Where m is the slope of the line and c is y intercept .

On comparing it to slope Intercept Form , we have ,

[tex]\implies \rm Slope (m) = (-1)[/tex]

And the slope of the line , parallel to a line is same as that of the given line. Therefore they will have same gradient.

[tex]\implies \boxed{\rm Slope_{(||\ line)} (m) = (-1)}[/tex]

Hence the gradient of the line is (-1) .

Write the coordinate of the vertices after a translation 8 units left and 13 units down. S(0,10). T(8,10) U(1,5)

Answers

Answer:

S(-8,-3), T(0, -3), and U(-7, -8)

Step-by-step explanation:

for all of the coordinates, you would subtract 8 from their X-values, and subtract 13 from their Y-values.

PLEASE HELP!! I NEED HELP WITH THIS PROBLEM ASAP!! IF YOU HELP I'LL GIVE U BRAINLIEST!

Answers

Let the amount Tom does = x

Then Larissa’s time would be 3x( 3 times the amount of Tom)

And Neal would also be 3x

The total of the 3 is 84 hours so as an equation you have:

X + 3x + 3x = 84

Combine like terms

7x = 84

Divide both sides by 7

X = 84/7

X = 12 hours

Tom = x, so Tom exercised for 12 hours.

An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.

y = __

Answers

The equation will be  [tex]y=40000+16000*x[/tex]

How do you resolve a two-variable equation?

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Two variables are used in what kind of equation?

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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write in terms of i
simplify your answer as much as possible​

Answers

4i square root of 6

draw and divide a rectangle to show each product use a distributive property to find the product 5×14

Answers

The product of 5 and 14 using the distributive property is 70.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

For three numbers a, b and c, Distributive property states that,

a (b + c) = a b + a c

We have to find the product 5 × 14 using distributive property.

5 × 14 = 5 (12 + 2)

Using distributive property,

5 × 14 = (5 × 12) + (5 × 2)

          = 60 + 10

          = 70

Hence using distributive property, we can find the product of 5 and 14 as 70.

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Use inequality notation to describe the set.
r is positive

Answers

Answer:

[tex]\text{c. }r>0[/tex]

Step-by-step explanation:

Define a positive number by all real numbers greater than, but not including, zero.

The inequality that represents this is [tex]\boxed{\text{c. }r>0}[/tex]

*Note: The sign [tex]\geq[/tex] represents including the value following it. However, we do not want to include zero in our set, hence [tex]r>0[/tex]

Answer:

r > 0

Step-by-step explanation:

a. r≤ 0            the equation is represented as r value is equal to zero or less than zero. So r can be zero or negative since its saying less than zero.

b. r≥ 0            the equation is represented as r value is greater than but equal to zero. So r can be zero and nonpositive.

c. r> 0            the equation is represented as r value greater than 0 which makes the answer positive.

d. r≤ ∞           the equation is represented as r value is equal to all positive integers but all negative integers.

e. r< ∞           the equation is represented as r value is all negative numbers since the inequality sign is less than

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At Color City Art Supply, Regan is deciding which painting kit to buy. She typically uses acrylic paints but is thinking of starting a small watercolor project soon. The Deluxe Painter kit has 12 acrylic paints and 24 watercolor paints. The Traveling Painter kit has 8 acrylic paints and 16 watercolor paints. Do the kits have the same ratio of acrylic paints to watercolor paints?

Answers

Answer:

honestly I really don't know but I think it is 12 colers

Answer:

Yes,the kits have the same ratio of acrylic paints to watercolor paints.

Step-by-step explanation:

12:24

12÷12=1

24÷12=2

1:2

8:16

8÷8=1

16÷8=2

1:2

Please Help! Need this to pass :/

Answers

Answer:

63°

Step-by-step explanation:

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

Line L has equation y = 2 - 3x
Write down the gradient of line L


answer asap!!!

Answers

Answer:

-3

Step-by-step explanation:

because if the l had an equation of 2-3x always the gradient goes with an x

HELP APA!! I will mark Brainlist THANK YOU!

Answers

Answer/Step-by-step explanation:

According to the Hing e Theorem states when two triangles have two congruent sides but have different included angle measure, the largest angle is said to be definitely opposite the longer of the sides.

In the figure given, since both triangles have two corresponding sides that are congruent (BA = BB and BD = BD), and the included angle measure are different, therefore, the greater third side would be the side opposite to the included angle that is the greatest.

Thus, CD is opposite to the greater included angle (28°), therefore, CD> AD

if 2c - d = 3d - 2c, what is d in terms of c

Answers

Answer:

4c=4d

-remember to change the signs/symbols and do the like terms

(7/8 x 14) / (3/8 x 6) + 2 1/5

Answers

answer to this question is simple 7 4/9

if 11 is to 22, and 22 to 242, then from 242 to what​

Answers

Answer:

it's equal to = 242 =484. I think so that's the right answer please

A rectangle has a
length of (2x+1) ft and width of (3x-15) ft. What is the area of the rectangle?

Answers

Answer:

6x^2-27x-15

Step-by-step explanation:

Area of rectangle: length x width

Area=(2x+1)(3x-15)=6x^2-27x-15

A maple tree grows 1.5 feet each year. The table shows the yearly growth for a pibe tree

Answers

Comparing the maple tree and the pine tree growth information, the tree that grows faster is the pine tree.

How to find the tree that grow faster

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so on.

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem,  b for maple is given as 1.5 and we calculate for pine using the data in the table. the equation is derived as follows

f(x) = a(b)ˣ

12 = a(b)¹

24 = a(b)²

dividing 24 = a(b)² by 12 = a(b)¹

b = 2

hence for pine tree the b is 2 which is greater than 1.5

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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

Answer: x = 13 and x = –29

Step-by-step explanation:i hope i help you

Answer:

To find the values of x that make the equation (x – 7)^2 = 36 true, you can start by undoing the square on the left side of the equation. Since (x – 7)^2 = (x – 7)(x – 7) = x^2 - 14x + 49. Then we know that x^2 - 14x + 49 = 36.

Now, you can add 14x and 49 to both sides to get x^2 = 50.

To find the values of x that make this equation true, we need to find the square root of both sides. So x = ±sqrt(50).

And the two values of x that will make the equation true are x = ±sqrt(50) = ±7sqrt(2). And it is not in the options given, which are x = 13, x = 1, x = -29, x = 42.

Step-by-step explanation:

Plz help me well mark brainliest!

Answers

Answer:

c

Step-by-step explanation:

there's 6 squares

Answer:

the answer for this question is C

Please help will mark Brainly

Answers

The first equation in the second system is a multiple of  second equation

is the first equation and the second equation  in the second system is a multiple of both equation in the first system

What is simultaneous equations? Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. Each of these equations on their own could have infinite possible solutions.In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are soughtSimultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations. This implies that the simultaneous equations have a common solution. Some of the examples of simultaneous equations are: 2x - 4y = 4, 5x + 8y = 3On occasions you will come across two or more unknown quantities, and two or more equations relating them. These are called simultaneous equations and when asked to solve them you must find values of the unknowns which satisfy all the given equations at the same time.

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−x2 + x + 6 = 2x + 8 The equation is represented by the system shown here. Linear-Quadratic Equation This system intersects in place(s).

Answers

Answer:

#1: This system intersects in A:  ✔ zero  place(s).

#2: Which statement is true?  C: There are no solutions.

Step-by-step explanation:

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This System of Quadratic equation is intersects at zero place.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The quadratic equation is,

- x² + x + 6 = 2x + 8

Now,

The quadratic equation is;

- x² + x + 6 = 2x + 8

x² + 2x - x + 8 - 6 = 0

x² + x + 2 = 0

So, The solution of the quadratic equation is solve as;

x = - 1 ± √1² - 4 × 1 × 2 / 2 × 1

x = -1 ± √1 - 8 / 2

x = - 1 ± √-7 / 2

x = - 1 ± √7i / 2

Clearly, It has no real solution do, it cannot cut at any point.

Therefore,

This System of Quadratic equation is intersects at zero place.

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The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
2/3лх^3
4/3лх^3
2лх^3
4лх^3

Answers

Answer: 2/3πx³

Step-by-step explanation:

Let the radius of the cone be represented by x.

Since the height of the cone is twice the radius of its base, the height will be: = 2x

Volume of a cone = 1/3πr²h

where,

r = x

h = 2x

Volume of a cone = 1/3πr²h

= 1/3 × π × x² × 2x

= 1/3 × π × x² × 2x

= 1/3 × π × 2x³

= 2/3πx³

Therefore, the correct answer is 2/3πx³.

in the number 4105 how many significant figures​

Answers

Answer:

There are 4 significant figures in the number 4105

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

4 significiant figures

Step-by-step explanation:

please mark this answer as brainliest

keep the rollllllllllllllllllllllll

Answers

Step-by-step explanation:

3 x 6 = 6 + 6 + 6

4 x 6 = 6 + 6 + 6 + 6

Answer:

18/24

hope this helps

have a good day :)

Step-by-step explanation:

jona is b kg weight.her mother is seven kg less than three time than jona weight.how old is mother?​

Answers

Answer: (3b - 7)kg

Step-by-step explanation:

Jona's weight = b kg

Since Jona's mother's weight is seven kg less than three time than jona's weight. This will be:

= (3 × b) - 7

= 3b - 7

Therefore, the mother is (3b - 7)kg

Ryan wants to use the distributive property to rewrite the addition problem shown so that the numbers left in the parentheses have no common factor except 1. Write an equivalent expression that has numbers in parentheses whose only common factor is 1. (54 + 72)

Answers

By finding a common factor, we can rewrite the expression as:

54 + 72 = 18*(3 + 4)

How to rewrite the expression?

The distributive property says that we can write:

C*(A + B) = C*A + C*B

In this case, we want to rewrite the expression:

54 + 72

So the first thing we need to find is a common factor between these two numbers.

We can rewrite these as:

54 = 2*3*3*3

72 = 2*2*2*3*3

The maximum common factor between these two nmbers is:

2*3*3 = 18

Then we can rewrite:

54 = 18*3

72 = 18*4

Then we can rewrite the expression as:

54 + 72 = 18*3 + 18*4 = 18*(3 + 4)

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Gabriel used the expression 2.5x + 2y – 2 to represent his total cost, and 28 – 2.5x – 2y to represent the amount of change he should receive from $30. What was Gabriel’s error?

i could use some help...i’m getting caught up but i had to start from a random point and don’t understand a bit!

Answers

Answer:

The entire expression should be subtracted from 30. To subtract the quantity, distribute the negative sign, which changes the signs on the terms. So, the –2 changes to positive and gets added to 30 instead of subtracted from it.

Step-by-step explanation:

Answer:

The entire expression should be subtracted from 30. To subtract the quantity, distribute the negative sign, which changes the signs on the terms. So, the –2 changes to positive and gets added to 30 instead of subtracted from it.

Step-by-step explanation:

SAMPLE

The product of 12 and k is 84. Solve for k.​

Answers

Answer:

the k is 7

Step-by-step explanation:

12×2=24

12×3=36

12×4=48

12×5=60

12×6=72

12×7=84

Answer:

k = 7

Step-by-step explanation:

The product of 12 and k is 84 [tex]\rightarrow 12k=84[/tex].

[tex]12k = 84 \\ k = \dfrac{84}{12} \\ \boxed{k = 7}[/tex]

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