Find the sum of the following finite geometric series.

Find The Sum Of The Following Finite Geometric Series.

Answers

Answer 1

The sum of the geometric sequence in this problem is given as follows:

5.77.

What is a geometric sequence?

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Related Questions

Solve for t 4t + 5 ≤ -7

Answers

Answer:

t ≤ -3

Step-by-step explanation:

4t + 5 ≤ -7

4t ≤ -12

t ≤ -3

» Choose ALL the lines of symmetry for the shape.

 Choose ALL the lines of symmetry for the shape.

Answers

Answer:

the first one , one below it and the one beside the one below it

Step-by-step explanation:

Answer:

sorry I don't Know

18+ 4(28) use the properites of operations to evaluate this expressions?

Answers

The value of the expression 18 + 4(28) will be 130.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 18 + 4(28)

Simplify the expression, then the value of the expression will be

⇒ 18 + 4 x (28)

⇒ 18 + 4 x 28

⇒ 18 + 112

⇒ 130

Thus, the value of the expression 18 + 4(28) will be 130.

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3^y=12 use your answer to solve log

Answers

Answer:

12/log3

Step-by-step explanation:

Hope it helps you

Answer:

y ≈ 2.262

Step-by-step explanation:

Using the rule of logarithms

log\(x^{n}\) = nlogx

Given

\(3^{y}\) = 12 ( take log of both sides )

log\(3^{y}\) = log12 , then

ylog3 = log12 ( divide both sides by log3 )

y = \(\frac{log12}{log3}\) ≈ 2.262 ( to 3 dec. places )

How many times greater is the value of the 8 in 382,000 than the value of the 8 in 38,200

Answers

Answer:

10 times

Step-by-step explanation:

382,000 divided by 38,200 = 10

Find the equation of the plane passing through the lines of intersection of the planes :
2x - 7y + 4z = 3 , 3x - 5y + 4z + 11 = 0 and the point ( -2 , 1 , 3 ).

Answers

The equation of the plane passing through the lines of intersection of the planes 2x - 7y + 4z = 3 and 3x - 5y + 4z + 11 = 0 and the point (-2, 1, 3) is

-13x - 8y + z + 90 = 0

We have,

To find the equation of the plane passing through the intersection of two planes, we need to first find the direction vector of the line of intersection of the two planes.

Let's call the two planes P1 and P2, which are given by the equations:

P1: 2x - 7y + 4z = 3

P2: 3x - 5y + 4z + 11 = 0

To find the direction vector of the line of intersection of P1 and P2, we can take the cross product of the normal vectors of P1 and P2. The normal vectors are:

n1 = <2, -7, 4>

n2 = <3, -5, 4>

Taking the cross-product of n1 and n2.

n1 x n2 = <-13, -8, 1>

This vector is parallel to the line of intersection of P1 and P2. We can use this vector as the direction vector for the line.

Now, we need to find a point on the line.

We can use the point of intersection of P1 and P2 as a point on the line.

To find this point, we can solve the system of equations:

2x - 7y + 4z = 3

3x - 5y + 4z + 11 = 0

Subtracting the first equation from the second, we get:

x + 2y + 7 = 0

Solving for x in terms of y,.

x = -2y - 7

Substituting this expression for x into the first equation, we get:

-4y - 14 - 7y + 4z = 3

Simplifying.

-11y + 4z = 17

Choosing y = 1.

-11 + 4z = 17

Solving for z.

z = 7

Substituting y = 1 and z = 7 into the equation for x.

x = -2(1) - 7 = -9

So a point on the line is (-9, 1, 7).

Now, we can use the point (-9, 1, 7) and the direction vector <-13, -8, 1> to write the equation of the plane passing through the line of intersection of P1 and P2.

Let's call this plane P3.

Using the point-normal form of the equation of a plane.

-13(x + 9) - 8(y - 1) + (z - 7) = 0

Expanding and simplifying, we get:

-13x - 8y + z + 90 = 0

Thus,

The equation of the plane passing through the lines of intersection of the planes 2x - 7y + 4z = 3 and 3x - 5y + 4z + 11 = 0 and the point (-2, 1, 3) is:

-13x - 8y + z + 90 = 0

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Help please please will give brainliest

Help please please will give brainliest

Answers

Answer:

0.4z plus 7 <1

Step-by-step explanation:

2. Increasing the minimum wage has not traditionally caused massive unemployment though traditional economists have argued that it should. Why have changes to minimum wage not affected unemployment too much?
3. The US has one of the lowest federal minimum wages compared to other developed nations. Can you think of reasons why this might be?
4. The real minimum wage has fallen over time with the rise of inflation. This represents less purchasing power for minimum wage workers. Are you ok with that? Why or why not? How many people actually earn at or near minimum wage?

Answers

Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.

There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.

I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.

According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.

~~~Harsha~~~

2. Increasing the minimum wage has not traditionally caused massive unemployment because the relationship between minimum wage and unemployment is not as straightforward as some traditional economists believe. While an increase in minimum wage may lead some employers to reduce their workforce, others may choose to increase prices or find other ways to offset the increase in labor costs. Additionally, minimum wage workers may have more money to spend, which can stimulate the economy and create new jobs.

3. One reason why the US has one of the lowest federal minimum wages compared to other developed nations is because of the country's historical emphasis on individualism and free-market capitalism. Many Americans believe that the government should not interfere too much in the economy and that wages should be determined by market forces rather than government regulations. Additionally, some argue that a higher minimum wage would lead to higher prices and inflation, which could hurt the economy as a whole.

4. it could be argued that a falling real minimum wage represents a failure of the system to provide for the basic needs of its citizens. Minimum wage workers may struggle to make ends meet, which can lead to a host of social and economic problems. In terms of the number of people who earn at or near minimum wage, this varies by location and industry, but it is estimated that around 2.3% of US workers earn the federal minimum wage or less.

Identify the vertex of the graph. Tell whether it is a minimum or a maximum.

What is the vertex of the graph?
(Type an ordered pair.)

Is it Maximum or Minimum?

Identify the vertex of the graph. Tell whether it is a minimum or a maximum.What is the vertex of the

Answers

Answer:The vertex in the graph is (-2,1) and It has a maximum value of 1 ,occurs at x=-2

Step-by-step explanation:

To find the vertex of a quadratic equation you gotta find the find middle point of the equation it could be lowest or his point in the quadratic equation

In this graph the vertex is the highest point in this graph (-2,1)

The quadratic equation is a maximum because the vertex is the highest point in the graph and if the vertex point was the lowest point it would been minimum.

Given the following definitions: U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} B = {1, 3, 5, 7} How many elements are in A ∪ B' ? Your Answer:

Answers

Consequently, there are 5 elements in A B'.

Given the following definitions:

U = {1, 2, 3, 4, 5, 6, 7}A = {1, 2, 4, 5}B = {1, 3, 5, 7}

The complement of a set B is the set of all elements that belong to the universal set U but not to B.

A’ = {x | x ∈ U and x ∉ A} = {3, 6, 7}B’ = {x | x ∈ U and x ∉ B} = {2, 4, 6}

The union of sets A and B is the set of all elements that belong to set A or set B, or both.

A ∪ B = {x | x ∈ A or x ∈ B}

= {1, 2, 3, 4, 5, 7}A ∪ B'

= {x | x ∈ A or x ∈ B’}

= {1, 2, 4, 5, 6}

Therefore, the number of elements in A ∪ B' is 5.

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What is the y intercept for the function f(x)=2•5x+4

Answers

awnser is 5

Step-by-step explanation:

the y intercept is always the number next to the x.

Therefore 5 is your y intercept :)

12 pointsss !!
What is the domain for the piece of the function
represented by f(x) = x + 1?

12 pointsss !! What is the domain for the piece of the functionrepresented by f(x) = x + 1?

Answers

Answer:

\(x > 1\)

if you graph

\(f(x) = x + 1\)

you'll see that it's that part of graph from x=1 to right and x=1 on this graph is not ncluded so it's x>1

Find the total surface area.

Find the total surface area.

Answers

Answer: 1308m

Step-by-step explanation:

Top and Bottom: 19 x 16 x 2 = 608

Sides: 16 x 10 x 2 = 320

Front and Back: 19 x 10 x 2 = 380

608 + 320 + 380 = 1308

How much heavier is the Black bear than the Key deer.

Answers

Answer:

How heavy is a full grown black bear?

2-3 feet at the shoulders and weights average 150 -300 pounds, with females smaller than males; some male bears weighing 700-800 pounds have been documented.

Step-by-step explanation:

HOPE THIS HELPED ✨

The weight difference between a female black bear and a female key deer is 80 or lower.

a female black bear can weight up to 180 pounds while a female key deer can weight up to 100 pounds.

the weight difference between a male black bear and a male key deer is 510 pounds.

a male black bear can weigh up to 660 punds while a male key deer can weigh up to 150 pounds.

express 2 cos 35 sin 67 as a sum​

Answers

2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

To express 2 cos 35 sin 67 as a sum, we can use the trigonometric identity for the product of two sine or cosine functions.

Specifically, the identity states that 2 cos A sin B can be written as

sin(A + B) + sin(A - B).

Applying this identity, we have:

2 cos 35 sin 67 = sin(35 + 67) + sin(35 - 67)

Simplifying the expressions inside the sine functions:

sin(102) + sin(-32)

Since the sine function is an odd function,

sin(-x) = -sin(x),

so we can rewrite the equation as:

sin(102) - sin(32)

Therefore, 2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

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What is 2x2 + 1000 x 1000

Answers

Answer: 2x2 + 1000 x 1000 = 1000004

Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also

Answer:

1000004

Step-by-step explanation:

First we do can separate it into the parentheses: (2*2) + (1000*1000)

= 4 + 1000000

= 1000004

Hurry please

Which line has a y-intercept of 2 and an x-intercept of -3?

W.

X.

Y.

Z.

Hurry pleaseWhich line has a y-intercept of 2 and an x-intercept of -3?W.X.Y.Z.
Hurry pleaseWhich line has a y-intercept of 2 and an x-intercept of -3?W.X.Y.Z.
Hurry pleaseWhich line has a y-intercept of 2 and an x-intercept of -3?W.X.Y.Z.
Hurry pleaseWhich line has a y-intercept of 2 and an x-intercept of -3?W.X.Y.Z.

Answers

Answer:

The answer is going to be y because you can see that it hits 2 on the y-intercept and -3 on the x-intercept

Step-by-step explanation:

Here is the one that you need

Hurry pleaseWhich line has a y-intercept of 2 and an x-intercept of -3?W.X.Y.Z.

what's the answer?!!!

what's the answer?!!!

Answers

Answer:

6(y-2) would be 6y-12

Step-by-step explanation:

I NEED HELP. I NEED TO SOLVE THIS BUT I DONT KNOW HOW TO! I NEED TO TURN IT IN BEFORE THE 29TH!

I NEED HELP. I NEED TO SOLVE THIS BUT I DONT KNOW HOW TO! I NEED TO TURN IT IN BEFORE THE 29TH!
I NEED HELP. I NEED TO SOLVE THIS BUT I DONT KNOW HOW TO! I NEED TO TURN IT IN BEFORE THE 29TH!

Answers

Answer: 1: $27.92

Step-by-step explanation: Multiply the amount of goodie bags (8) by how much they cost individually ($3.49) and you should come out with the answer $27.92.

Answer: 2 : $37.5

Step-by-step explanation: This would be considered not using long division but this should be the only practical answer. Using long division you would come up with 37 with a remainder of 2, which doesn't seem to be correct.

Answer: 3 : $177.92

Step-by-step explanation: Adding the cost of both the goodie bags and the 4 hours worth of the bounce house the total should have came out to be, $177.92

can anyone help? Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.

20% tip on a bill of $64.15

Answers

Answer:

  $12.80

Step-by-step explanation:

You are asked to estimate the tip by rounding the bill amount. The tip is the product of the (rounded) bill amount and the tip rate.

  rounded bill = $64.00

  tip rate = 20% = 0.20

  estimated tip = 0.20 × $64.00 = $12.80

Write the equation of a line with a slope of 2 that goes through the point (-4,3)

Answers

Answer:

y= 2x + 11

Step-by-step explanation: Hopefully that helps ;)

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than -1.27 and draw a sketch of the region. The probability is

Answers

Answer:

Starting at -1.98 and shaded to the right. The to find the probability you'll used Normalcdf and enter

lower= -1.98

upper= 1E99

U=0

O=1

paste and .9761!!!

Geometry question! Help!

Geometry question! Help!

Answers

Answer: \(2\sqrt{2}\)

Step-by-step explanation:

The inradius is given by the area of the triangle divided by the semiperimeter.

The semiperimeter is \(\frac{12+12+8}{2}=16\).

Thus, by Heron's formula, the area is \(\sqrt{16(16-12)(16-12)(16-8)}=32\sqrt{2}\).

Therefore, the radius is \(\frac{32\sqrt{2}}{16}=2\sqrt{2}}\)

plzz someones help me plz I will mark brainlest diameter is 1 3/4​

plzz someones help me plz I will mark brainlest diameter is 1 3/4

Answers

Answer:

The area of the circle is 2.41 in^2

Step-by-step explanation:

You are given the diameter, 1 3/4. This is a mixed fraction, so let's convert that into decimal.

1 3/4 = 7/4

7/4 = 1.74

Now, let's use the area of circle formula.

A = 1/4πd^2

A = 1/4 * π * 1.75^2

A ≈ 2.40528

Let's round the area to the nearest hundredth.

2.40528 = 2.41

A telegraph pole is 70 m high. Its shadow is 100 m in length. Find the length of the tip of the shadow and the sun.


A. 90.70 meters
B. 112.07 meters
C. 122.07 meters
D. 109.70 meters

Answers

Answer:

Step-by-step explanation:

Cindy works on the weekends at the local coffee shop. Last Saturday she worked 7.5 hours and
on Sunday she worked 8 hours. She earns $9 per hour. How much did she earn last weekend?
F:97.00 G:89.50 H:139.50 J:109.00

Answers

Answer: H. 139.50

Step-by-step explanation:

Multiply 9 by 8 first and you get 72. Then multiply 9 by 7.5 and you get 67.5 then add 72 and 67.5 and you get 139.5 or 139.50

someone pls help me i will give brainliest to the first to answer

someone pls help me i will give brainliest to the first to answer

Answers

Answer:

21 and 35

Step-by-step explanation:

21 for the first box, when it is in parenthesis you multiply each, so then 35 for the second box

7 times 3 then 7 times 5

can you please help me with this

can you please help me with this

Answers

Sathish will be going to pay a total of $64.8 for the gas.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

The First 150 and last 150 km will cover by Satish only

Since 6 liters covers 100 km

So,

Cost of 300 km (18 liters) ⇒ 18×1.2 = 21.6

Now,

The journey 2100 - 300 = 1800 km has been covered by all three

Split 1800/3 = 600 km of money Satish will pay

So,

Cost of 600km(36 liters) ⇒ 36 × 1.2 = 43.2

Total paid = 21.6 + 43.2 = 64.8.

Hence "Satis will be going to pay a total of $64.8 for the gas".

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Which of the following statements is not true?
Choose the incorrect statement below.
The three-part inequality - 1 <-3x ≤ 1 is equivalent to -5x<
15x2
<3 is equivalent to -6≤5-x<6.
The three-part inequality - 3s-
OD. The three-part inequality -7≤11-x<7 is equivalent to 4 < x≤ 18.
OA.
OB.
C.
The three-part inequality -5s-10x<5 is equivalent to
5-x
...

Answers

The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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will someone please help me on my math

will someone please help me on my math

Answers

Answer:

192 should be the surface area i think correct me if im wrong

Step-by-step explanation:

Answer:

you are correct! (I know your already passed it but I felt like answering)

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deductive reasoning is also referred to as: a. theoretical reasoning. b. concrete reasoning. c. reductive reasoning. d. top-down reasoning. PLEASE I NEED THIS ASAP If you had a cell that was cube-shaped with a side length of 20m, calculate the surface to volume ratio of the cell. Round your answer to the tenths place. A number line going from 0 to 2 in increments of 1. There are 3 equal spaces between each number. Arrows between each space.What division problem does the model represent? Divided by one-thirdThe quotient is . to make 1 dinner roll, 1/15 cups of flour is used. How much flour is used to make 48 dinner rolls? Write 2/100 as a decimal. HELP!!! Abdul was asked to simplify the expression 2 (x - 4) + (3x + 10) - 5x At the same temperature, which of the following gases will effuse the slowest?A) HydrogenB) HeliumC) FluorineD) XenonE) Bromine I will give you 40 point plus Brainliest!!! You have opened a jar of 250 toothpicks, and want to see how many pyramid levels you can make. Determine the electron geometry (eg) and molecular geometry (mg) of CO23 what is 10-9 will give brainliest how do I solve the volume of this shape ? and how to draw the cross section of this shape? a natural foods supplier is mixing up a rice blend that contains 27% wild rice. They already have 34 kilograms of a blend that contains 19% wild rice. To this, they will be adding a second blend that contains 59% wild rice. How much of the second blend should be added to obtain the desired 27% wild rice blend? Identify three ways toponyms reveal clues about the cultural landscape of a region. A company offering a back-to-school special on manicure/pedicure package is an example of them selling a/an:O GoodO All answers are correctO IdeaO Service A media personality argues that global temperatures are not rising, because every year an increase is reported, such as 0.09 degrees C. The difference from the previous year is less than the margin of error of about 0.13 degrees C, so that difference should be ignored. What is the best counterargument? At a bowling alley, there is a flat fee of $5.00 to rent shoes. In addition, it costs $1.25 for each game bowled.Which equation shows the total cost (c) for the number of games (g) one bowls?c=1.25g+5, c is equal to 1 point 2 5 g plus 5c=1.25g+5g, c is equal to 1 point 2 5 g plus 5 g,c=5g+1.25, c is equal to 5 g plus 1 point 2 5c=6.25+1.25g I am trying to sum up a set of data based on 2 criteria (needs to have "green" in column E, and "January 2020" in collum A). Column D is the set of numbers I need to add. I am getting "Error, array arguments in SUMIFS are of different size. the ordinary and commonplace events of life are classified as select one: a. sacred. b. profane. c. cult-like. d. ritualistic. Identify the minimums for the function whose graph is shown. 4.5/w = 3 what is the W?