help please, what is sum of the geometric series E6(4)k-1

Help Please, What Is Sum Of The Geometric Series E6(4)k-1

Answers

Answer 1

Answer:

              2,046      

Step-by-step explanation:

[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=6\left(4\right)^{1-1}+6\left(4\right)^{2-1}+6\left(4\right)^{3-1}+6\left(4\right)^{4-1}+6\left(4\right)^{5-1}=\\\\\\=6\cdot4^0+6\cdot4^1+6\cdot4^2+6\cdot4^3+6\cdot4^4=6+24+96+384+1536=\\\\=2,046[/tex]

or:

is geometric series:  [tex]S_n=\dfrac{a_1(1-q^n)}{1-q}[/tex]

[tex]a_n=a_1\cdot q^{n-1}\quad\implies\quad\begin{cases}a_1=6\\q=4\\n=5\end{cases}[/tex]

so:

[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=S_5=\dfrac{6(1-4^5)}{1-4}=\dfrac{6(1-1,024)}{-3}=-2(-1,023)=2,046[/tex]

Answer 2

Answer:

B

Step-by-step explanation:

Edge2021


Related Questions


The shape has an area of 60 square inches. Find the value of x.

Answers

Answer:

8

Step-by-step explanation:

Since the area of a kite is half the product of the diagonals:

60=15*x/2

120=15*x

x=120/15=8

Hope this helps!

The heights of the sunflowers, in inches,
in Brittany's garden are shown below.
65 66 64 63 64
62. 65. 63, 64, 66
Brittany displayed the data in a dot pot
Which of the dot plots correctly displays
Brittany s dala?

Answers

Answer:

See picture attached

Step-by-step explanation:

The options are not provided, so I made my own dot plot. To did it, I ordered the set, and counted how many times each height appears, as follows:

62: once

63: twice

64: three times

65: twice

66: twice

Those are the numbers of dots you have to put over each height.

4. Alistair has an infinite number of bags numbered 1, 2, 3, 4... Each bag
contains an infinite number of marbles numbered 1, 2, 3, 4... Is the set of
all marbles that Alistair possesses larger than the set of marbles he has in
just the first bag?

Answers

Answer:

No

Step-by-step explanation:

One infinity cannot be larger than another

Find an equation of the line containing the given pair of points.
(4,1) and (12,7)

Answers

Answer:

y= 3/4x-2

Step-by-step explanation:

y2-y1/x2-x1

7-1/12-4

m=6/8

m=3/4

now solve for b (y-intercept)

plug in any y or x from any point

7=3/4(12)+b

7=36/4+b

7=9+b

7=9+b

subtract nine on both sides

-2=b

thats how u get ur equation

This list shows the number of years that 99 U.S. Supreme Court Justices served. 0 4 6 8 13 15 18 22 26 31 1 4 6 9 13 15 19 23 26 32 1 4 6 9 14 16 19 23 27 33 2 5 7 9 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 34 3 5 7 10 15 17 20 24 29 34 3 5 8 11 15 17 20 24 30 34 3 5 8 13 15 18 21 26 30 36 4 5 8 13 15 18 21 26 31 What number of years is the mode the Supreme Court justices served? a. 20 c. 23 b. 15 d. 5

Answers

Answer:

5

Step-by-step explanation:

Answer:

The answer is: D.)5

Step-by-step explanation:

I got it right on edge2021

what that answer to 21×-5​

Answers

Answer: -105

Step-by-step explanation:

21 times -5 will be -105

is a CR grade good or bad? ​

Answers

Really good if u don’t have strict parents

Do 4/ A,B for 11 points.

Answers

Answer:

Look at the picture.

Step-by-step explanation:

Always remember to isolate than divide/multiply

If you were to take Eva’s age X divide it by five and then square the quotient you would have John’s age how old is John

Answers

X    - Eva's age

[tex]\dfrac X5[/tex]    - Eva's age divided by five

[tex]\left(\dfrac X5\right)^\big2[/tex]   - Eva's age divided by five and then squared

[tex]\left(\dfrac X5\right)^\big2=\dfrac{X^2}{25}[/tex]

Answer:

              John is  [tex]\frac{X^2}{25}[/tex]  years old now

in order to pay for his expenses Chuck needs to earn $3,400 at least every month when Chuck Works overtime he earns $5000 per month if the variable T stands for the amount of money Chuck has left after paying for his expenses every month, which of the following choices is the most reasonable value for e when he works overtime

A. $600
B. $1600
C. 1200
D.$8400

Answers

The answer is B. $1600 because you have to subtract it

Answer:

B.  $1,600

Step-by-step explanation:

$3,400 + T = $5,000

T = $5,000 - $3,400

T = $1,600

Not so bad after an F- I guess.

Answers

Answer:

Congratulations!

Step-by-step explanation:

Every summer Kendra plants a vegetable garden in her yard last year she planted six rows of tomatoes eight rows of peppers Kendra wants to keep the same ratio this year but she only plants to plant three roasted tomatoes how many rows of peppers well Kendra plant this year

Answers

Answer: Ratio's 3:5

Step-by-step explanation:

Ratio of last year 6:8 Now this year since she wants to only plant 3 rows of tomatoes there would be five rows of tomatoes cuz ur taking away three rows form each typa veggie so the new ratio is now 3:5

((Hope it Helps))

A marker was placed at an altitude that is 15 feet below sea level.
Enter the integer that represents this altitude.

Answers

Answer:

-15 below sea level

-Hope this helps! :)

Answer:

-15 below 0 :)

Step-by-step explanation:no u

Evaluate q^2-5q+4, when q equals -2

Answers

Answer:

18

Step-by-step explanation:

q^2 - 5q +4

Let q = -2

(-2)^2 - 5(-2) +4

4  + 10 +4

18

What is the square root of m^6?

M^2
M^3
M^4
M^5

Answers

Answer:

Step-by-step explanation:

√m⁶=m⁶/²=m³

Answer:

[tex] {m}^{3} [/tex]

Step-by-step explanation:

[tex] \sqrt{ {m}^{6} } \\ \sqrt{m \times m \times m \times m \times m \times m} \\ {m \times m \times m} \\ = {m}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The graph shows the speed of a particle over a 10 second time interval find an estimate for the distance travelled by the particle

Answers

Answer:

240

Step-by-step explanation:

(2x36)/2=36

(36+39)x2/2=75

(31+39)x2/2=70

(14+31)x2/2=45

(2x14)/2=14

14+45+70+75+36=240

pls help this is due before 11:59​

Answers

Answer:

B

Step-by-step explanation:

232/4= 58

343/7= 49

58-49= 9

The value of cos X is
40/41
42/41
9/41
35/41

Answers

Answer:

I think we're probably talking about a right triangle. So just find the adjacent side and the hypotenuse.

Step-by-step explanation:

Once we are considering [tex]x \in \mathbb{R}[/tex], the range of  [tex]\text{cos}(x)[/tex] is [tex][1, -1][/tex]. Therefore, [tex]$\frac{42}{41} $[/tex] is not true.

In this exercise, we may have

[tex]$\text{cos}(x)=\frac{x}{r} =\frac{x}{\sqrt{x^2 +y^2} } $[/tex]

Considering the trigonometric functions beyond the unit circle.

Or considering the definition in the right triangle:

[tex]$\text{cos}(x)=\frac{\text{adjacent}}{\text{hypotenuse}} $[/tex]

Why are some right triangles considered special?

Answers

Special right triangles. A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form a simple ratio, such as 45-45-90. This is called an "angle based" right triangle.

PLEASE JUST GIVE ME THE VOLUME! THE AREA OF THE SECTION IS 546! PLEASE ANSWER ASAP!!!!!!!

Answers

Answer:

3360

Step-by-step explanation:

By the Pythagorean Theorem, you know that:

[tex]C_1B_1=\sqrt{29^2-20^2}=\sqrt{841-400}=\sqrt{441}=21[/tex]

This means that the area of the triangular base is [tex]\dfrac{21\cdot 20}{2}=210[/tex]. Multiplying this by the height of the pyramid and dividing by 3, you get a volume of 3360. Hope this helps!

What is m∠A? Enter your answer in the box.

Answers

Answer:

∠A is 118 degrees

Step-by-step explanation:

every triangle is 180 degrees

(3x+13) + (x-8) +(x) = 180

simplify

5x + 5 = 180

-5        = -5

5x = 175

175 divided by 5 is 35

so x= 35

∠A= 3(35) + 13

3 times 35 is 105

105 + 13 = 118

so ∠A is 118 degrees

hope this helps!

what is the minimum please answerrr

Answers

Answer:

(0,1) should be the anwser your looking for

(0, 1) is the minimum! it’s the least/lowest point of the graph

Can someone help me with this ASAP please and thank you

Answers

Answer:

C

Step-by-step explanation:

Triangles will only be right triangles if a² + b² = c² where a and b are legs and c is hypotenuse. Numbers 1 and 2 pass this test so the answer is c.

Answer:

C. I and IV only

Step-by-step explanation:

Apply the Pythagorean theorem to all triangles, and see which ones make the equation true.

I.

8^2 + 15^2 = 64 + 225 = 289

17^2 = 289

289 = 289

Right Triangle

II.

4^2 + 5^2 = 16 + 25 = 41

6^2 = 36

41 is not equal to 36

Not a Right Triangle

III.

2^2 + 2^2 = 4 + 4 = 8

3^2 = 9

8 is not equal to 9

Not a Right Triangle

IV.

9^2 + 12^2 = 81 + 144 = 225

15^2 = 225

225 = 225

Right Triangle

Answer: C. I and IV only

A sector of a circle whose radius is 4 centimeters, has a central angle of 30 Which of the following. which of following represents the area of this sector in square centimeters?
(1). 12π/5
(2). 8π/15
(3). 4π/3
(4). 6π/5



Answers

Answer:

area of the sector  =4π/3  cm²

Step-by-step explanation:

To find the area of the sector, we will follow the steps below;

first write the formula for finding area of a sector

area of a sector = Ф/360  ×  πr²

where r is the radius

from the question given

Ф= 30       and radius = 4 centimeters

we can proceed to insert the values into he formula above

area of a sector = Ф/360  ×  πr²

                             =30/360  ×π×4²

                             =1/12 ×π×16

                             =16π /12

                              =8π/6

                             =4π/3

area of the sector  =4π/3  cm²

Determine the approximate ordered pair for f(x) = g(x)

(3, 12)

(3,18)

(12,3)

(18, 3)

Answers

Answer:

(3,18)

Step-by-step explanation:

(3,18) is the answer to your problem

A measure of the average value of a population is called

Answers

I thinks it’s a census

Answer:

the census

Step-by-step explanation:

this is when info about every member of population is collected

✐ is typing , , ,
any answer is appreciated (: ♥
And if it's correct will mark " brainliest "
keep in mind that it needs two answers for marking brainliest :)


Answers

Answer:

13 ounces

Step-by-step explanation:

Since the package ended up costing $5.81, we subtract the starting cost of 6 ounces, which is $4.90.

We end up with $0.91. Since each additional ounce is $0.13, we divide 0.91 by 0.13.

This gives us seven, which is the amount of additional ounces. Since Mrs. Washington paid 4.90 for the first six ounces and then there were an additional 7 ounces, we add 6 plus 7.

The answer is 13 ounces. Hope this helps!

A knitting group used 248 yards of yarn to Knit tassels for snow hats. If 1/2 yard of yarn is used for each tassel,how many tassels did the Knitting group make?

Answers

Answer:

124

Because If u divide 248 by 2 you get 124

Name the types of angles shown.
Check all that apply.

Answers

Answer:

Here you go!

Step-by-step explanation:

There is a 90 degree angle,

An obtuse angle

And an acute angle

Right angle (EFH)

Acute angle(GFH)

Which graph represents a proportional relationship?

Answers

Answer: D) The bottom right image

Step-by-step explanation: The linear graph is the one that represents a proportional relationship, the graph goes through the origin. You want it to go through the origin.

I hope this helps!

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