please help me solve this equation

Please Help Me Solve This Equation

Answers

Answer 1

Answer:

-85

Step-by-step explanation:

We are given the equation [tex]E^8_{n=1}[/tex][tex](-2)^{n-1}[/tex] and are asked to evaluate it.

This can be solved using the geometric sequence, but first we have to determine our "r", "n", and [tex]a_{1}[/tex].

Of course [tex]a_{1}[/tex] is equal to 1. Therefore,

[tex]a_{1[/tex] = 1

[tex]r=[/tex]

[tex]n=[/tex]

(-2) is the change per number in the sequence, therefore -2 is our "r".

[tex]a_{1[/tex] = 1

[tex]r=-2[/tex]

[tex]n=[/tex]

The number "8" on [tex]E^8_{n-1}[/tex] represents the "n". Therefore 8 is our "n".

[tex]a_{1}=1[/tex]

[tex]r=-2[/tex]

[tex]n=8[/tex]

Use the geometric sequence sum formula and substitute :

[tex]a_{1} \frac{1-r^n}{1-r}[/tex]

[tex]1* \frac{1-(-2)^8}{1-(-2)}[/tex]

[tex]1* \frac{1-(-2)^8}{1+2}[/tex]

[tex]1* \frac{1-256}{1+2}[/tex]

[tex]1* \frac{-255}{3}[/tex]

[tex]1 * -85[/tex]

[tex]-85[/tex]


Related Questions

Which is a perfect square?
6^1
6^2
6^3
6^5

Answers

Answer:

6^2

Step-by-step explanation:

6^2 because,

6^1 is not a perfect square because 6 is its own number because 6 x 1 =6 Therefore being eliminated.

6^3 is not a perfect square because 6 x 6 x 6 (216) is cubed not square

*This one almost tricked me*

6^5 is not a perfect square because 6 x 6 x 6 x 6 x 6 (7776)  it isn't an equal factor combination, that when multiplied together, produce the number 7,776. That means 7,776 is not a perfect square.

6^2 is a perfect square because 6x6= 36 and 36 is a perfect square.

Therefore, its 6^2

(This is my 100th question answered!)

Hope this helps have a nice day!

Find the ratio of Cos (39).

A. 37/7

B.X/7

C.7/X

D.7

Answers

Answer:

x/7

Step-by-step explanation:

cos 39= adjacent/hypotenuse

=x/7

Find the surface area of the pyramid, round to the nearest tenth:

Answers

Answer:

YOU DONT KNOW THIS SMH

Step-by-step explanation:

LEAARN HOW TO WORK

please explain how to do this

Answers

When it says standard form they mean from biggest to smallest.


ABCD is a parallelogram. If a CDA - 57 then BCD-_?
The diagram is not to scale.
133
57
114
123

Answers

Answer:

57

Step-by-step explanation:

It is given in the question that length CDA = 57.

Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.

CDA = CD + AD

BCD = BC + CD

Since BC=AD and CD=CD

BCD = BC + CD is the same as CD + AD = CDA

Therefore BCD is the same length as CDA = 57

In other words, CDA is made up of a long side and a short side = 57

BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.

Hope this helped!

Plssss help and thank you

Answers

Answer:

1

Step-by-step explanation:

The y-intercept is when x=0, and by looking at this chart, we can see that when x=0, y=1, therefore it will be (0,1) and your y-intercept is 1.

how to solve -3x-6y=3 and 2x+7y=-17 using elimination method PLEASE SHOW WORK

Answers

So I showed my work for you I’m pretty sure my answer is right if you want to use it

What do you do to both sides to
r? What is r? 3/8 r = 6 HELP ME

Answers

Answer:

r = 16

Step-by-step explanation:

[tex]\frac{3}{8}r = 6 \\\\[/tex]

Multiply both sides by 8

[tex]8*\frac{3}{8}r = 6*8\\\\3r = 48\\[/tex]

Divide both side by 3

[tex]\frac{3}{3}r=\frac{48}{3}\\\\r = 16[/tex]

OR

Multiply both side by (8/3)

[tex]\frac{8}{3}*\frac{3}{8}r=6*\frac{8}{3}\\\\r = 2*8\\\\r = 16[/tex]

write an equation to represent the information in this problem. Jerel runs five days each week. on each of 4 days, he runs 2.3 km. if jerel runs a total of 14km, how many kilometers does he run on the fifth day?

Let x be the distance run on the fifth day

Total distance run on all the four days = 2.3 * 4 = 9.2 km

Required equation : x + 9.2 = 14

x = 14 - 9.2

x = 4.8 km

At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of syrup. If there are 9 ice cream flavors and 5 types of syrup, how many toppings are there? Please Explain how you got this answer for brainliest

Answers

Answer:

12 different toppings

Step-by-step explanation:

Total combination / (number of syrup * Numbe rod ive cream flavors)

540 / (9*5)

540 / 45

= 12

What is the total number of digits required in numbering a book that has 1724 pages?

Answers

Answer:

5,789

Step-by-step explanation:

I got 5,789 because there are 9 one digit numbers. 1-9 -> 9x1=9. There are 90 two digit numbers. (10-99)-> 90x2=180. There are 900 three digit numbers. (100-999)-> 900x3=2700. There are 725 four digit numbers. (1000-1724)-> 724x4= 2900. Then, I added 9+180+2700+2900=5789.

In conclusion, the total number of digits required in numbering a book that has 1724 pages is 5789.

There are 5,789 digits in total required to number the pages of a book with 1,724 pages.

What is Numbering?

A numbering is the assignment of natural numbers to a set of objects in some formal language, such as functions, rational numbers, graphs, or words, in computability theory.

Digits required in numbering a book that has 1724 pages?

Given the total number of pages is 1,724

Let's break down the pages now to find the total digits.9

one-digit numbers (1-9) = 9 x 1 = 9 digits make up the number 1,724.90 numbers with two digits (10-99) = 90 x 2 = 180 digits900 three-digit numbers (from 100 to 999) = 900 times three = 2700 digits725 numbers with four digits (1000-1724) = 725 x 4 = 2900 digits

Let's add the digits now.9 + 180 + 2700 + 2900 = 5,789

As a result, the total number of digits required to number the pages of a 1,724-page book is 5,789.

Learn more about numbering here: https://brainly.com/question/251701

#SPJ2

Find the area of each circle. Use 3.14 for the value of pi. Round your answer to the nearest tenth. Do NOT include units in your answer (ie. ft, in, km, etc.) (FR)

Answers

Answer:

12.6

Step-by-step explanation:

The equation for a circle's area is [tex]A=\pi r^2[/tex].

We can use this equation to end up with A=(3.14)4

And 3.14 times 4 is 12.56.

Then we have to round to the nearest tenth.

Therefore your answer is 12.6

Hope this helped! :)


A washer and a dryer cost $766 combined. The washer costs $66 more than the dryer. What is the cost of the dryer?

Answers

Answer:

416

Step-by-step explanation:

for 700 350 plus 350 then for dryer 66 extra so 350 plus 66

Hey! I appreciate any help on this question!

Answers

3 ...................

Complete the missing parts of the table for the following function. y = x
5

| -2 | -1 | 0 | 1 | 2 | 3 |
|________________
| 1/25 | 1/? | 1 | 5 | ? | ? |​

Answers

Answer:

The function is:

y = [tex]5^x[/tex]

Missing numbers:

x = -1 ⇒  y = 1/5x = 2 ⇒ y = 25x = 3 ⇒ y = 125

What is the solution to the system of equations shown in the graph?

Answers

Answer/Step-by-step explanation:

Based on my knowledge, the solution of the system of equations on the graph would be the point where they all meet. Thus, the answer I would put down is:

(-5,2)

If b = 5, what is 632
15
25
75
125

Answers

Answer:

Step-by-step explanation:

A

Guided Practice
The answer is NOT letter A

Find the range of the function rule y=5x−2 for the domain.{−1/2, 1/4, 2/5}Find the range function rule


A.
{−1/2, 3 1/4, 4}


B.
{− 4 1/2, −3/4, 0}


C.
{3/10, 9/20, 12/25}

Answers

Answer:

B.

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

find the range of the function rule y=5x-2 for the domain {-1/2, 1/4, 2/5}

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

Graph.

y = 5 x − 2 { − 1 /2 , 1 /4 , 2 /5 }

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

{-1/2, 1/4, 2/5}

take the derivative of the equation 4 times. f 4 (x)=0.

Step-by-step explanation:

if you put in the values (-1/2, 1/4, 2/5) in the function

{–8, –2, 18}

Step-by-step explanation:

y = 5x − 2

x = −1.2 > y = 5(−1.2) − 2 = −6 − 2 = −8

x = 0 > y = 5(0) − 2 = 0 − 2 = −2

x = 4 > y = 5(4) − 2 = 20 − 2 = 18

{-1/2, 1/4, 2/5}

Step-by-step explanation:

All you have to do is go on a graphic calculator and input the equation by pressing y= then after putting it in to y= all you have to do is press 2nd (the only blue button) and graph and that will show you all the points to that equation (also known as range and domain)

Hope this helps. :)

Domain is inputs, input the domain for x

y=5(-1.2)-2

y=-6-2

y=-8

y=5(0)-2

y=0-2

y=-2

y=5(4)-2

y=20-2

y=18

range is {-8, -2, 18}

For x = 0,

we substitute zero into the equation to find its y value like so:

y = 5x-2

y = 5(0)-2

y = -2

There you go.

Take the derivative of the equation 4 times. f 4 (x)=0.

Y = 5x – 2  

domain. {–5, –1, 0, 2, 10}

x = -5 then y = 5(-5)  – 2 = -27

x = -1 then y = 5(-1)  – 2 = -7

x = 0 then y = 5(0)  – 2 = -2

x = 2 then y = 5(2)  – 2 = 8

x = 10 then y = 5(10)  – 2 = 48

answer

{–27, –7, –2, 8, 48}

Solve the right triangle. Round your answers to the nearest tenth.

Answers

Answer:

B = 44°

c = 27.8

b = 19.3

Step-by-step explanation:

m∡B = 180 - (90 + 46)

sin46° = 20/c

c = 20 / sin 46°

c = 27.8

b² + 20² = 27.8²

b² + 400 = 772.84

b² = 372.84

b = [tex]\sqrt{372.84}[/tex]

b = 19.3

If p(t)=5t4+17t3–8t2+13t–12, use synthetic division to find p( – 4).

Answers

Answer:

the value of this function p(t) at t = -4 is also 0

Step-by-step explanation:

Recall that synthetic division in a problem such as this one returns a remainder, which is sometimes zero and is sometimes not.  If not, then the remainder is the value of the given polynomial when evaluated at a given argument.  We are to determine the remainder here when t = -4:

Setting up synthetic division:

-4    /    5    17    -8    13    -12

                 -20   12   -16    12

      ------------------------------------

           5      -3     4     -3      0

Since the remainder is 0, the value of this function p(t) at t = -4 is also 0.

can someone help my lil sister.

Answers

Answer:

78

Step-by-step explanation:

Given:

h + 9g

Required:

Evaluate when g = 8 and h = 6

Solution:

Plug in the values of the variables into the expression

Thus,

6 + 9(8)

= 6 + 72

= 78

Rewrite in standard form. Find the center and radius of the circle. Show all of your work for full credit.

Answers

Where is the picture?

NEED HELP ASAP
Which is a different way to express 5r?
5+r
2r+3r
r5
3r⋅2r

Answers

Answer:

2r+3r

Step-by-step explanation:

even though r5 looks correct, you always have to put the varible on the right side of a number. 2r+3r is correct because if you combine like terms, you get 5r

need help po thank you

Answers

Answer:

a) P

b) NP

c) P

d) p

e) p

1.30,35,40. add 5

2. 4,0,-4.  take 4

3. -8,-10,-12. add -2

ILL MARK YOU THE BRAINLIST

Answers

Answer:

Decrease by 5.5 percent

1-.945 = .055

= 5.5 percent

Can anyone solve this question??? plss plsss its my request to all if any one can solve this question I will mark him/ her the brainliest​

Answers

Answer:

a) ∠EAB = 180° - 90° - 30° = 60°

∠EBA = 180° - 90° - 60° = 30°

a) ∠EBA = 30°

b) ∠DCA = 180° - 90° - 30° = 60°

∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA

ΔEBA ≅ ΔDAC because of the AAA postulate

c) EB ≅ DA, EA ≅ DC, AB ≅ CA

d) AB = CA     given

sin ∠EAB = EB/AB       (sin 60°)   EB = (0.8660)AB

cos ∠EAB = EA/AB      (cos 60°)  EA = (0.5)AB

cos ∠DAC = AD/CA     (cos 30°)  AD = (0.8660)CA

sin ∠DAC = CD/CA      (sin 30°)   CD = (0.5)CA

ED = EA + AD

ED = (0.5)AB + (0.8660)CA

since AB = CA,  ED = 1.366CA

since EB = (0.8660)AB and AB = CA, then EB = 0.866CA

since CD = 0.5CA,

EB  + CD = 0.866CA + 0.5CA = 1.366CA

EB + CD = 1.366CA

1.366CA = 1.366CA

Proof: ED = EB + CD

A number x divided by 6 is at least 16 .

Answers

Answer:

x = 96

Step-by-step explanation:

Answer:

x/6≥16

Step-by-step explanation:

Find the value of x.
9
19
x = [?]

Answers

Answer:

14

Step-by-step explanation:

Answer:

looks like 18 not sure tho

Step-by-step explanation:

a = 4, n = 8, y = 2, x = 10 Evaluate the algebraic expression x + 3y - n. 6 8 12 D 24​

Answers

Answer:

B. 8

Step-by-step explanation:

By evaluate, they mean substitute in the values and solve.

x + 3y - n

= 10 + 3(2) - n

= 10 + 6 - 8

= 8

Please lmk if you have questions.

Answer:

It is 8!

Proof:

I took the activity.

4x+12+3x+7x(3+5)+6=90

solve for x

Answers

Answer:

4x+12+3x+7x(3+5)+6=90

Combine like terms.

4x+12+3x+56x+6=90

63x+18=90

63 x = 72

x = 72/63

x = 8/7

What is the solution of (x+8)/(5x+-1)>0?

Answers

Answer:

the solution set is (-infinity, -8) ∪ (-8, 1/5)

Step-by-step explanation:

x + 8 changes sign at x = -8.  

I'll assume you meant 5x - 1 (as 5x+- is meaningless).  5x - 1 changes sign at x = 1/5.

Subdivide the x-axis using the two x-values found above:

(negative infinity, -8), (-8, 1/5), (1/5, infinity.

Choose a representative value from each interval.  I'm choosing x = -10, x = 0 and x = 1.

Now test the given inequality at each of these x-values.  Is the result true or false?

 x + 8

---------- > 0

5x - 1

For x = -10:

-10 + 8

--------------- > 0 => -2/(-51) => 2/51     This is TRUE

5(-10) - 1

For x = 1:

 1 + 8

---------- > 0  =>  9/4     This is TRUE

  5 - 1

For x = 0:

     8

---------- > 0    This is FALSE

    - 1

Therefore the solution set is (-infinity, -8) ∪ (-8, 1/5)

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