Which of the following can be used to evaluate the series 9 k=1 2(4) k=1?

Which Of The Following Can Be Used To Evaluate The Series 9 K=1 2(4) K=1?

Answers

Answer 1

Answer:

Option (3)

Step-by-step explanation:

Given expression represents the sum of k terms of a geometric sequence.

[tex]\sum_{k=1}^{9}2(4)^{k-1}[/tex]

Since, formula to calculate the sum of a geometric sequence is given by,

[tex]\sum_{n=1}^{n}a(r)^{n-1}=\frac{a(1-r^n)}{1-r}[/tex]

By this formula,sum of 9 terms of the given sequence will be,

[tex]\sum_{k=1}^{9}2(4)^{k-1}=\frac{2(1-4^9)}{1-4}[/tex]

Therefore, Option (3) will be the answer.

Answer 2

Answer:

Thank you for your service! This was super helpful.

Step-by-step explanation:

(:


Related Questions

Chicago ave is parallel to Ontario Street. What is the relationship between angles 2 and 3?
They are same side interior
They are corresponding
They are alternate interior
They are alternate exterior

Answers

Answer:

they are alternate interior angles my guy.

We can conclude from the figure that angles 2 and 3 are same side interior

Trigonometry identity

From the given diagram, you can see that the shape in the middle is a quadrilateral with four sides.

The following are true of a quadrilateral;The sum of the interior angles is 360 degreesThe sum of the adjacent sides of the angles is 180 degreesThey have the same side interior angles

From the diagram, we can conclude that angles 2 and 3 are same side interior

Learn more on interior angles here; https://brainly.com/question/7888180


The cost of nails varies directly with the number of pounds bought.
If 4 pounds of nails cost $11.60, what is the cost of 3.5 pounds?

Answers

Answer:

10.15

Step-by-step explanation:

7th-grade question
..............

Answers

C

You’d need three of the smaller tubes to equal the larger tube

But three of the smaller tubes cost 5.37, so it is 1.26 cheaper to buy the bigger tube

Answer:

C

Step-by-step explanation:

4 ounce costs $1.79

12 ounce costs $4.11

$1.79 ÷ 4 = 0.4475 per ounce

$4.11 ÷ 12 = 0.3425 per ounce

0.3425 < 0.4475

So the 12 ounce tube is the better buy becaus it is cheaper per ounce.

hope this helps :)

A piecewise function has
A. Curved lines that only increase or decrease
B. Curved lines that do both increase and decrease on the same graph
C. Straight lines that only increase or decrease
D. Straight lines that do both increase and decrease on the same graph
E. Straight lines that do both increase decrease or stay constant on the same graph

Answers

a piece wise function are curved lines that do both increase and decrease on the same graph

so the answer is B

A Scientist is working with 19 meters of gold wire how long is the wire in millimeters

Answers

every 1 meter, there is 1000 millimetres

so

19 meters = 19000 millimetres

have a good day mate !

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

Answers

Answer:

0

Step-by-step explanation:

Given:

(-3, 2)

(4, 2)

Required:

Slope that passes through the two points given.

Solution:

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

Let,

[tex] (-3, 2) = (x_1, y_1) [/tex]

[tex] (4, 2) = (x_2, y_2) [/tex]

Plug in the values into the formula

Slope = [tex] \frac{2 - 2}{4 -(-3)} [/tex]

[tex] = \frac{0}{7} [/tex]

[tex] slope = 0 [/tex]

Find the total value of an investment of $12,700 at 8.8% for 1 year to the nearest dollar.

Answers

Answer:

$13,817.60

Step-by-step explanation:

Interest earned = $12,700 × [tex]\frac{8.8}{100}[/tex] × 1

                          = $1,117.60

Total earned = $1,117.60 + $12,700

                      = $13,817.60

please help me will mark brainliest

Answers

The answer is 5.6 I hope this helps

Monique is paid p dollars monthly. She also receives a bonus of $5,500 once a year. Write an expression to
represent the amount of money Monique is paid in ore year?

Answers

Answer:

Step-by-step explanation:

monthly express as p

in a year she will have 12p+5,500

CAN ANYONE PLS TELL ME THE BOTH

Answers

First question is 1:2
Second question is 12

Answer:

1:2 and 12

Step-by-step explanation:

2: 4 is equivalent with anothher ratio if you did the exact same multiplication and division to both terms

you have

1 : 2 from 2/2 : 4/2 so in good

7 : 8 is no good

4: 2  is no good

6: 10 is no good

3 olive oil : 1 vinegar

x olive oil : 4 vineger ( we multiply both by 4)

3*4 olive oil : 1*4  vinegar

12 olive oil : 4 vinegar

I need help on how to write an EQUATION of how to solve for X 2x<15 simpliefied answer anyone that can help tysm

Answers

Answer:

2x < 15

x < 7.5 (or x <  15/2)

Consider the whole numbers from 0 to 9. You may only use each digit ONCE.

Sketch one digit in each of the blank squares to find the SMALLEST possible result. ​

Answers

Answer:

8 ÷ 0 (2+3)^7 x 1 - 9

Step-by-step explanation:

I think this is correct because the result would be zero as 9  ÷ 0 is 0 and 0 anything is zero. I could be wrong tho

A national trivia tournament starts with 262,144 teams. With each round, there are half as many teams as before. The number of teams after any number of rounds, x, can be modeled with the following function.

f(x) = 262,144

Which statement compares the mathematical range and reasonable range of the function?

Both the mathematical and reasonable ranges are limited to real numbers greater than 0 and less than or equal to 262,144.
Both the mathematical and reasonable ranges are limited to whole numbers greater than 0 and less than or equal to 262,144.
The mathematical range is all real numbers greater than 0. The reasonable range is all real numbers greater than 0 and less than or equal to 262,144.
The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144

Answers

Answer:

D.) The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.

Step-by-step explanation:

I don't even know, but yeah.

Answer:

D) the mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144

Step-by-step explanation:

1. Ethan writes 1/6 of a page in 1/12 of a minute. How much time does it take him to write a full page?​

Answers

Answer:

Step-by-step explanation:

2/18

Identify each as an equation or and expression.​

Answers

Answer:

here lets make it easy for you

An expression is a problem WITHOUT an Equal sign

An equation is a problem WITH an Equal sign

Answer:

Equation: 2nd, 5th, and 6th

Expression: 1st, 3rd, and 4th

Step-by-step explanation:

Equations need to have the equal sign and expressions don't have one.

For every 3 packages that Marcella wraps, she uses 1\2 of a roll of wrapping paper.
If she uses 2\12 rolls of wrapping paper, how many packages has she wrapped?

Answers

15 packages of you meant to say 2 1/2

Christine made 132$ for 11 hours of work.
At the same rate, how many hours would she have to work to make 84$ ?

Answers

To find how much she makes per hour, do $132 divided by 11. That is equal to 12, meaning she makes $12 per hour. Then, do $84 divided by $12 since that’s how much she makes per hour. This is equal to 7. Christine has to work 7 hours to make $84.

What is the product (3 x 10') * (2 x 10") in scientific

Answers

Answer:

600

Step-by-step explanation:

3 x 10 = 30

2 x 10 = 20

30 x 20 = 600

One fifth of a post is under the ground and the remaining part above the ground is 8 ft. What is the length of its part under ground?

Answers

2 feet

If of the total length, one fifth is under the ground, and 8 feet is above ground, then the answer would be 2 feet due to it being 1/5 of 10

Solve for x
4 to the power of 2x divided by 8 to the power x is equal to 32

Answers

X is equal 5 in 4 to the power of 2x divided by 8 to the power x is equal to 32.

What is base and power?

Raising a base number to an exponent is referred to as "power" in mathematics. It indicates that "base number" and "exponent" are the two fundamental components of powers. The exponent shows how many times the base number has been multiplied, whereas the base number is defined as a number that is multiplied by itself.

In a nutshell, power is a number that has exponents used to express it. It means that the same element has been multiplied repeatedly. In the context of powers, the following specific terminology may be used:

Whenever a number:

Squared = power is 2

cubed = Power is 3

to the power of n = used for powers more than 3

The data given gives as an equation as followed

⇒ [tex]4^{2x}[/tex] ÷ [tex]8^x[/tex] = 32

⇒ [tex](2^2)^{2x}[/tex] ÷ [tex](2^3)^{x}[/tex] = 32

⇒ [tex]2^{4x}[/tex] ÷ [tex]2^{3x}[/tex] = 32

⇒ [tex]2^{(4x - 3x )}[/tex] = 32             (If the base is same in a division, then the powers

⇒ [tex]2^x[/tex] = 32                    can simply be subtracted with the base as common)

⇒ 2 = [tex]\sqrt[x]{32}[/tex]

⇒ 2 = [tex]\sqrt[5]{32}[/tex]

Thus, x = 5

Learn more about exponent

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How many sixteenths are there in 5/8​

Answers

Answer:

10!

Step-by-step explanation:

Exuse me if im wrong :')

Please HELP HELP HELP HELP HELP HELP HELP

Answers

Answer:

with the X you now know you will have to multiply then you need to figure out what the other side of the = sign is with X and you should get your answer!

Step-by-step explanation:

That's all I know Sorry

I believe one solution. It already shows what equals what, all you have to do is find x

Which equation calculates the number of 1/8 foot pieces you can cut from 5 feet of ribbon

Answers

Answer:

40

Step-by-step explanation:

The number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x - 5 = 16 is an equation.

Given that, a ribbon of 5 feet long ribbon is cut into n 1/8-foot-long ribbons, we need to determine the equation calculates the number of 1/8 foot pieces,

So, the equation =

n = 5÷1/8

n = 40

Hence the number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8

Learn more about equations, click;

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the intersection of GHL, MNJ, and GKJ is​

Answers

Answer:

answer your own man

ysovsivsuv

Answer:

Step-by-step explanation:

Phillip and his two friends need to raise at least 2,400 for their study abroad trip to europe. so far they have raised 600$. Write an inequality to represent x, the amount of money they need to raise after the first week,

Answers

Answer:

x+600≥2400

Step-by-step explanation:

It has to be atleast 2400

I would appreciate if someone could solve this problem and explain it :)

Ps. I will give a brainless also :)

Answers

The answer is 92, because 46 is the midpoint so you just have to double it

Answer:

Step-by-step explanation:

Givens

C is the midpoint of AE

D is the midpoint of BE

DC is given as 46

Remark

Triangle CED is similar to AEB by SAS for similarity

Therefore DC is 1/2 the size of AB

Solution

1/2 AB = DC

1/2 AB = 46          Multiply both sides by 2

AB = 2*46

AB = 92

Higure to answer the question.
8 cm
8 cm
5 cm
1 cm
8 cm
5 cm
What is the volume of the figure? Enter the answer in the box.
cubic centimeters

Answers

Answer:

35cm

Step-by-step explanation:

The volume of the figure is sum of the two individual cuboids which is

164 cm³.

What is a cuboid?

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

The total volume of the given figure would be the sum of the two cuboids

which is,

= (5×5×8) + (8×8×1) cm³.

= 200 + 64 cm³.

= 264 cm³.

So, The volume of the figure is 264 cm³.

learn more about cuboids here :

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Ralph makes $6.50 per hour plus about $10 in commission at his job. Tom makes $6.15 per hour plus about $15 in commission at his job. Which system of equations matches this situation, if x represents the number of hours worked, and y represent total pay?
a) y=6.50x+15
y=6.15x+10

b) y=10x+6.50
y=15x+6.15

c) y=6.50x+10
y=6.15x+15

d) y=6.50x+10
6.15x+y=15

Answers

Answer:c

Step-by-step explanation:

HURRY PLEASE IM TIMED AND THIS IS IMPORTANT. Which list of numbers is shown on the number line below?


A number line going from negative 3 to positive 2. There are 4 equal spaces between each number. A point is halfway between negative 3 and negative 2. A point is between the second and third mark between negative 2 and negative 1. A point is on the mark 1 space to the right of 0. A point is halfway between 1 and 2.

Negative 2.5, 1 and three-fourths, 50 percent, 1.5

Negative 2.5, negative 1 and one-third, 50 percent, 1.5

Negative 2.5, negative 1 and three-fourths, 25 percent, 1.5

Negative 2.5, negative 1 and one-third, 25 percent, 1.5

Answers

Answer:

D.

Step-by-step explanation:

Answer:

this person is right the answer is D

Step-by-step explanation:

have a good day good luck on the test

edg 2022

2 (x + 1) = -2 what is x

Answers

X=-2
Divide both sides by 2 to get x+ 1=-1
Subtract 1 from both sides to get x=-2
Check by substituting-2 for x, and find that -2=-2
Hope this helps!

Answer:

x=-2

Step-by-step explanation:

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