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

What is the volume of the rectangular prism? one cube is 1/3
Pleaser answer fastt

Answers

Answer:

A

Step-by-step explanation:

15 boxes multiplied by 2 is 30, 1/3 times 30 is 10

I have finished the table but stuck in the question after...

Answers

Answer:

7/48

Step-by-step explanation:

there are 48 in total

there are 7 white females

7/48

You're choosing between two car rental companies. Company A charges an initial fee of $15 with $.25 per mile, while Company B only charges $.50 per mile. How many miles will it take for both companies to have the same service price? What's this price amount? Use the following systems of linear equations to solve by graphing. Company A: y = 0.25x + 15 Company B: y = 0.50x

Which is correct:

A. 55 miles; $25
B. 62 miles; $35
C. 60 miles; $30
D. 58 miles; $29

Answers

Answer:

60 miles; $30

Step-by-step explanation:

Given:

y = 0.25x + 15 ...........Eq1

y = 0.50x.............Eq2

Where, x = miles and y = Total cost of ranting

Find:

Total cost of ranting.

Computation:

From Eq1 and Eq2

0.25x + 15 = 0.50x

0.25x = 15

x = 15 / 0.25

x =  60 miles

From Eq 2

y = 0.50(60)

y = $30

Help me on this maths please

Answers

Answer: √300.89 or 17.3

Step-by-step explanation:

a^2 + b^2 = c^2

6.7^2 + b^2 = 16^2

b^2 = 16^2 - 6.7^2

= 256 - 44.89

b = √211.11 = 14.5

here to this question we have to use Pythagoras theorem that is

[tex] {a}^{2} + {b}^{2} = {hypotnuse}^{2} [/tex]

here,

a=6.7

b=x (cuz' we don't know it's value)

c= hypotenuse =16

now, substitute these values in the above formula then we get,

[tex] {6.7}^{2} + {x}^{2} = {16}^{2} \\ = 14.529[/tex]

as the answer should be given to 1 decimal place we get 14.529


A man divided some apples among his two children and himself. If the man took 3 apples for
himself and divided the remaining apples evenly between each of his children and each child had
fewer than 5 apples. How many apples were there originally?

Answers

Answer:

15

Step-by-step explanation:

The graphs below have the same shape. What is the equation of the blue
graph?

g(x) =

O A. g(x) = (x+4)2 - 3
O B. g(x) = (x - 42 - 3
O C. g(x) = (x – 4)2 + 3
O D. g(x) = (x+4)2 + 3

Answers

Answer:

A

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then the graph of f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) has been shifted 4 units left and 3 units down, thus

g(x) = (x + 4)² - 3 → A

|x|-13=-3 solve the equation​

Answers

Answer:

[tex]x=10\\x=-10[/tex]

Step-by-step explanation:

[tex]|x|-13=-3\\|x|=-3+13\\|x|=10[/tex]

[tex]x=10\\x=-10[/tex]

Answer:

[tex]x=\pm 10[/tex]

Step-by-step explanation:

[tex]\mid x \mid -13=-3[/tex]

Add 13 to both sides:

[tex]\mid x \mid=10[/tex]

[tex]x=\pm 10[/tex]

Hope this helps!

What is the perimeter of ΔWXY? 11.57 cm 12.22 cm 12.46 cm 14.50 cm


°ω°

Answers

Answer:

the answer is 14.50 cm

Step-by-step explanation:

i took the test, and found this answer by multiplying the given information: 2.93, 2.04, and 2.28 by 2 and then adding them together. that will then give you 14.5. i did it this way because we are dealing with midsegments in this problem. this is just my way of doing it. have a great day!

Answer:

D. 14.50 cm

Step-by-step explanation:

NEED HELP :(
Use the commutative or associative property to simplify the expression.
1/4(4y)

Answers

Answer:

y

Step-by-step explanation:

Associative Property a(bc)=(ab)c

1/4(4y)=(1/4(4))y

y

Newton currently has an account balance of $6,225.18. He opened the account 15 years ago
with a deposit of $4,543.11. If the interest compounds daily, what is the interest rate on the
account?
30.3%
7.7%
58.3%
2.1%

Answers

Answer: 2.1%

Step-by-step explanation:

r = n [(A/P)^1/nt - 1

plz help asap im timed just this and ill give u 5 stars brainliest and a thank u no cap

no its not a

Answers

Answer:

D

Step-by-step explanation:

2 x 4 = 8

8 x 2 = 16

4 x 9 = 36

36 x 2 = 72

9 x 2 = 18

18 x 2 = 36

16 + 72 + 36 = 124

124 = D

Which is greater 15/27 or 16/24

Answers

Answer:

16/24

Step-by-step explanation:

let’s use the GCF of both which is 3 for 15/27

15/27 divided by 3 is 5/9

for 16/24 the gcf is 8

16/24 / 8 is 2/3

now we have to multiply 2/3 times 3

2/3 times 3 6/3 which is 2

so 16/24 is greater.

Identify which of the labeled angles in the figure is an obtuse angle. answers: A) 2 B) 3 C) 1 D) 4

Answers

Answer:

D) 4

Step-by-step explanation:

To start with we can see that on all the line there are little arrows on the end which means that the line continues forever.

C and B are acute angle because we can eyeball that they are less then 90 degrees.

A is most likely to be a right angle because their are two perpendicular straight lines.

D is the correct answer because as I said the lines continue forever. So in that case both lines are not perpendicular or less than 90º.

Answer:

D

Step-by-step explanation:

x+y= 2
y=-12? + 3
\right.V)
1. In two or more complete sentences, explain how to solve the system of equations algebraically.
2. Solve the system of equations. In your final answer, include all of your work.

Answers

Answer:

11

Step-by-step explanation:

11

11 is the answer to the question

pls i need the help.

Answers

Answer:

3. 16a+24b

Step-by-step explanation:

I know this because I grouped the eqatiobs together

Answer:

#3. 16a + 24b

Step-by-step explanation:

P= 2( length plus width).

Terrell wrote that 5-4.2=8. Which statement about this answer is true?

Answers

Answer:

No.

Step-by-step explanation:

No. 5 - 4.2 = 0.8

Answer: 8 is wrong because a number gets smaller, not larger, when you take 4.2 from it.

Step-by-step explanation: I had this on my Imagine Math. The reason why this is wrong is because 5 – 4.2  doesn't not equal 8!Estimation might help. 5 doesn't need to be rounded. 4.2 is rounded to 4...5-4 = 1The Actual answer is actually 0.8.

I hope this helps :)

Hank’s age is 15 years less than twice his sister’ s age. If Hank’s sister is 22 years old, how old is Hank?

Answers

Answer:

29

Step-by-step explanation:

2s-15=h

2(22)-15=h

44-15=h

29=h

Answer:

29

Step-by-step explanation:

22 multiplied by 2 is equal to 44. Subtract 15 from 44 and you get 29.

pls answer as quick as possible for brainliest!!

Answers

Answer:

15

Step-by-step explanation:

(2 1/2 + 1 1/2 + 3 1/2) = 7 1/2 * 2 = 15

Answer:

15

Step-by-step explanation:

2.5+1.5+3.5 = 7.5

7.5*2 = 15

Use the elimination method to solve the system of equations

Answers

Answer:

D

Step-by-step explanation:

2x + 3y = 18

3x - 3y = 12

the 3y and -3y cancel and you add the other like terms

5x = 30

x = 6

plug x back into any of the equations

2(6) + 3y = 18

12 + 3y = 18

3y = 6

y = 2

answer is (6,2)

Please help
will give brainliest (if I can)
If the intercepts of a line are (a, 0) and (0, b), what is the slope of the line?

Answers

Answer:

a−b=aa=1

Step-by-step explanation:

Since the graph of the linear function f has intercepts (a,0) and (0,b), the two points satisfy the function. Therefore, the slope becomes a−b=aa=1, which is positive.

11) Omar is flying a kite on a 50-foot string at a diagonal distance. The kite gets stuck at the top
of a 40-foot tree. How far is Omar from the tree?

Answers

Answer:

30 ft

Step-by-step explanation:

We have a right triangle.

Hypotenuse = c = 50 ft

Leg  #1 = a = 40 ft

Leg#2 = b = ?

We need to use Pythagorean Theorem

c² = a² + b²

50² = 40² + b²

b² = 2500 -1600 = 900

b = 30

What is the shape of the cross section of the figure that is parallel to the triangular bases? A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases

Answers

Answer:

A

Step-by-step explanation:

a parallelogram that is not a rectangle

Hope this helps

Answer:

A

Step-by-step explanation:

I did it on the quiz

Which correlation coefficient indicated the strongest linear relationship between the variables?
A: 0.65
B: -0.87
C: -0.52
D: 0.8

Answers

Answer:

-0.87 has the strongest linear relationship

Step-by-step explanation:

-0.87, since it is the closest value to either one or negative one,

0.8 is the second strongest

0.65 is the third strongest

-0.52 is the least strongest

the student is asked to solve the equation below and to justify her his step what if anything is the first mistake the student made
15/17y=-3​

Answers

Answer:

the correct answer should be -2.65

Step-by-step explanation:

the mistake is dividing 17y by 15 instead of 17

What is the distance from
23, 5) to (33, -12)

Answers

Answer: 19.723083

Step-by-step explanation:

The answer is 19.7 for sure

SHOULD BE EASY!!! which one is it??? please i need help ASAP.

Answers

Answer:

Commutative property

Step-by-step explanation:

#4

what is the vertex of y=1/2(x+4)^2+1

Answers


i’m not sure but try googling or looking on slader

Can someone help me out, I'm having trouble on these two questions.

Answers

Answer:

Step-by-step explanation:

7,A=9*6sin30°

=54*0.5

A= 27

8,A=6*10sin60°

A= 60*0.86

A=52....... approximately

9, A=1/2bh

A=0.5*x*xroot 3

A=root3/2 x^2

You can find x using trigonometric values

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The
number b varies directly with the number a. For example b = 2 when a = -2. Which equation represents this direct
variation between a and b?
b = -a
-b= -a
b - a = 0
b(-a)=0​

Answers

Answer:

b=-a

Step-by-step explanation:

we know that b is located the same distance from 0 as another number, a, but in the opposite direction.

so the sum of the two numbers equal zero

a+b=0

a=-b or b=-a

Please help I am being timed

Answers

Answer: She earned 868,5 in total last week.

Step-by-step explanation:

18 x 40 = 720 --> earned during the first 40 hours of work

27 x 5,5 = 148,5

148,5 + 720 = 868,5--> total

Answer:

$868.50

Step-by-step explanation:

She worked for 40 hours and gained $18 per hour. That equals $720. She then worked for 5.5 more hours gaining $27 an hour. That equals $148.5. Add those together and you get $148.50.

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