Someone please explain step by step.

Find the 10th term of the geometric sequence whose common ratio is 1/2
and whose first term is 5.

Answers

Answer 1

Answer:

[tex] {10}^{th} \: term = \frac{5}{512} [/tex]

Step-by-step explanation:

geometric progression formula:

[tex] {n}^{th} \: term = ar ^{n - 1} [/tex]

given:

common ratio, r = 1/2

[tex]first \: term \: = 5[/tex]

1) find the value of a

[tex] {n}^{th} \: term \: = a {r}^{n - 1} [/tex]

we're finding the 1st term, so substitute 1 into n:

[tex] {1}^{st} \: term = a( \frac{1}{2} ) {}^{1 - 1} [/tex]

first term is 5. so we substitute 5 into the equation:

[tex]5 = a(1)[/tex]

[tex]a = 5[/tex]

2) find the 10th term

we're finding the 10th term, so substitute 10 into the equation and don't forget to substitute 5 into a:

[tex] {10}^{th} \: term = 5( \frac{1}{2} ) {}^{10 - 1} [/tex]

[tex] {10}^{th} \: term = 5( \frac{1}{512} )[/tex]

[tex] {10}^{th} \: term = \frac{5}{512} [/tex]


Related Questions

Crystal earns $8.00 per hour mowing lawns.How much does Crystal earn is she works 3 hours and 30 minutes?

Answers

Answer:

she can earns $28

Step-by-step explanation:

Answer:

$24.40

Step-by-step explanation:

if she gets $8 per hour than in 3 hours she would have earned $24 cause 8*3=24.

since she works for 3h and 30 min to find the 30 min we have to divide 8 by 2 becasue 30 min is halve an hour so by doing this you get 8/2=4

Graph the funtion f(x) = [tex]\sqrt[3]{x - 2}[/tex].

(I added a picture just in case you can't read the equation)

Struggling a lot could use a friend right about now thank you

Answers

This process is very simple. All you are doing is creating a table of values somewhere to help you graph this function. As you can see, the coordinates of [tex]\displaystyle [-6, -2], [1, -1], [2, 0], [3, 1],[/tex] and [tex][10, 2][/tex] are all touched on this graph, letting you know that this information is accurate.

I am joyous to assist you at any time. ☺️

A color printer prints 29 pages in 12 minutes.
How many minutes does it take per page?

Answers

Answer:

b b

Step-by-step explanation:v gv g

ok so 29 pages in 12 minutes

divide 29 by 12

29/12= 2.4 pages a minute

but for a single page divide it by 60 (60 seconds in a minute)

2.4/60= .04 pages a second

now we divide 1 page by it

the answer is 25 seconds a page

Distance between two places is 400 miles. The scale of the map is 1
in:200 miles. What is the distance between these two places in The Map

Answers

Answer:

2 in

Step-by-step explanation:

if 200 miles = 1 in

400 miles = 400 miles x 1 in

                        200 miles

= 2in

PLZZZZZZZZZZ HELP MEEEEEEEEEEE IM TIMED AND PLZZZ EXPLAIN HOW YOU GOT THE ANSWER
Terrance uses the jugs of water to fill cups with approximately 3.75 ounces of water each. About how many cups can Terrance fill if he uses all of the water in the jugs? Show your work or explain how you determined your answer.

1 gallon = 128 fluid ounces

Enter your answer and your work or explanation in the box provided.

Answers

Answer:

34.13

Step-by-step explanation:

1) Divide 128 by 3.75 which will give you 34.13

Answer: 34.13

Hope this Helps!

help lol I'm so unsmart​

Answers

Answer:

0.5

Step-by-step explanation:

5/3 divided by 10/3=5/3*3/10

=1/2=0.5

it should be 0.5 maybe try that lol

Solve the equation

9x^2 - 64= 0

9x^2 + 64= 0

Answers

Answer:

x1= - 8/3 , x2= 8/3

Step-by-step explanation:

What is the measure of A?

Answers

The answer is 35 cause first u multiply 6+5 which is 30 then add 5 which is 35

ten subtracted from a number if the difference is 30 what was the orginal number​

Answers

X-10=30

X=30+10

X= 40

So the original number was 40 and you can prove it by subtracting 10 so 40-10= 30

Two companies rent moving trucks. Pack and Go charges a $39.95 flat fee, and $0.45 for every mile driven. U-Drive charges a $59.95 flat fee, and $0.35 for every mile driven. At how many miles is the cost of the truck rentals the same?

Answers

Answer:

The indifference point is 200 miles

Step-by-step explanation:

First, we need to establish the total cost formula for each company:

Pack and Go:

Total cost= 39.95 + 0.45x

x= miles driven

U-Drive:

Total cost= 59.95 + 0.35x

x= miles driven

Now, we equal both formulas and isolate x:

39.95 + 0.45x = 59.95 + 0.35x

0.1x = 20

x= 200 miles

The indifference point is 200 miles

Answer:

A is answer 1/ 39.95 + .45x = 59.95 + .35x

B is answer 3/ miles driven

C is 3 /200

Step-by-step explanation:

Got 100% on edge

Halp ;-; A florist is using 36 flowers to make 4 identical arrangements. How many flowers will be in each arrangement?

Math item stem image
CLEAR SUBMIT12 flowers


10 flowers


9 flowers


4 flowers

Answers

It would be 9 flowers because 4 times 9 equals 36 which means that each arrangement would have an even amount.

50pts ANSWER ALL QUESTIONS

Answers

13.) -3/4

14.) takes a lot of work

15.)5

16.) corresponding

14.) d=24

15.)25x+5=26x

Answer:

13.) -3/4

14.) takes a lot of work

15.)5

16.) corresponding

14.) d=24

15.)25x+5=26xStep-by-step explanation:

What is 5[cos(Pi/4) + I sin (pi/4)] raised to the 3rd power?

Answers

Answer: The answer is C on edge

Step-by-step explanation:

Use the drop-down menus to complete the solution to the equation cos(pie/2-x)=square root 3/2 for all possible values of x on the interval [0,2pie].

Answers

Answer:

0

1

sin

3

3

Step-by-step explanation:

These are the answers in order from every blank

The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3.

What is a trigonometric function?

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

As per the given trigonometric equation,

cos(x)cosπ/2 + sin(x)sinπ/2 = √3/2

Since, cosπ/2 = 0 and sinπ/2 = 1

cos(x)(0)+ sin(x)(1) = √3/2

sinx = √3/2

sinx = sin π/3 = sin 2π/3.

Hence "The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3".

For more information about the trigonometric function,

https://brainly.com/question/14746686

#SPJ2

Choose all the equations that are true if y = 6.
52.37 – 46.37 = y
2 / 3 y = 4 1/2
8y = 48
3.2 + y = 9
y = 4 = 24

Answers

Answer:

The first and third.

Step-by-step explanation:

For the first one, you just subtract 52.37 and 46.37 and the answer is 6, so that makes the equation 6=y, which is right. The second one equals 6.75, so that's not what we need. For the third one, you divide by 8 on both sides to isolate y, and that results in y=6, which is right. For the fourth one you subtract by 3.2 on both sides to isolate y and that results in 5.8, which isn't what we need. I think for the last one you meant to type y=4+24, in which case that would be y=28, which isn't what we need.

In a sample of 16 mini-golf balls, 6 are yellow and 10 are pink. If 2 balls are selected at random from the sample, one at a time without replacement, what is the probability that both balls are not pink?

Answers

Answer:

The probability is 1/8 that you'll pick 2 yellow balls.

Step-by-step explanation:

P(Both balls not pink) = P(Both balls yellow) = 6/16 * 5/15 = 1/8

i will mark you as brainlist plz help asap

Answers

The answer is “A” hope I helped
Statement A

______-6________0_________6____

Hope this helps

A washer and a dryer cost $887 combined. The washer costs $37 more than the dryer. What is the cost of the dryer?
i will make branlyist

Answers

Answer:

The dryer cost 425 dollars

Step-by-step explanation:

425+462=887

could someone please help me with my math? i really need help and i am struggling

https://brainly.com/question/20134003

Answers

Answer:

yes

Step-by-step explanation:

YZ ∥ VX . Find WX. 34 16 8 Y Z W X V WX =

Answers

Answer:

this really doesnt make sense sorrry

Step-by-step explanation:

Use numerals instead of words. 5 less than a number is equivalent to 1 more than three times the number. The number is __ ?​

Answers

Answer:

byeeeeeeeeeeeeeeeeeeeeee

Answer:

t uzi TV CRT currently

Fitzpatrick

Jordan is 27 miles short of his biking goal. Hayden went 27 miles over his goal. Which of the following statement is true?​

Answers

Answer:

Option A

Step-by-step explanation:

Jordan is 27 miles short of his biking goal.

This statement states that Jordan is 27 miles behind the goal.

Hayden went 27 miles over his goal.

This statement states that Hayden is 27 miles ahead of his goal.

Option A

Both are 27 miles away from their goal.

True.

Option B

Since, both were 27 miles away from their goal,

Statement is False.

Option C

Since, the goal was same both,

Given statement is False.

Option D

Goal was same for both Jordan and Hayden,

Statement is False.

Dogan
Dog Years
It is said that dogs age seven years for every "people year." Mason's dog. Shep, was
born on Mason's eighth birthday. When Mason was nine years old, Shep was seven
dog years old. In dog years, how old will Shep be on Mason's twelfth birthday?

Answers

Answer:

84 years old

Step-by-step explanation:

A simple 12 x 7 Since for ever 7 dog years= 1 human year

In figure below alb, m<1 = 78°, and m<2 = 47°.
Find measure of each angle.

Answers

Answer:

m∠3 =  102°

m∠4 =  102°

m∠5 =  78°

m∠6 =  133°

m∠7 =  47°

m∠8 =  47°

m∠9 =  133°

m∠10 =  102°

Step-by-step explanation:

Lines a and b are parallel and

m∠1 = 78° and

m∠2 = 47°

m∠3 = 180 - m∠1 = 180 - 78 = 102°

m∠4 = m∠3 = 102°

m∠5 = m∠1 = 78°

m∠6 = 180 - m∠7 = 180 - m∠2 = 133°

m∠7 = m∠2 = 47°

m∠8 = m∠2 = 47°

m∠9 = 180 - m∠8 = 180 - 47 = 133°

m∠10 = 180 - m∠1 = 102°

PART OF A STUDY SET!!!! NEED THE ANSWER ASAP BEING TIMED GIVING BRINLY AND THANKS FOR HELP!!!!!!!!
1.)
What value of x makes the following equation true?

2(6 - 2x) - 2x = 2(5 + x) - 4

A) 3/4
B) 1/4
C) -1/4
D) -3/4

2.)

What is the solution to the following equation?

3(7 + 2x) + 3 = 3(5 + x) - 9(x + 1)

A) 3/2
B) 2/3
C) -2/3
D) -3/2

Answers

Answer:

1. 3/4

2. -3/2

Step-by-step explanation:

please answer this question

Answers

Answer:

16%

Step-by-step explanation:

Add all of the dots together, you get 4/25 (the household of 3/total) and multiply top and bottom by same number. the bottom should equal 100. 25*4=100, 4×4=16. 16/100=16%

A group of friends is sharing 212 pounds of berries. If each friend received 54 of a pound of berries, how many friends are sharing the berries? If 5 friends are sharing the berries, how many pounds of berries does each friend receive?

Answers

Answer:

Number of friend = 4 friends (Approx)

Amount of berries each friend get = 42.4 pound

Step-by-step explanation:

Given:

Total amount of berries = 212 pound

A. Number of friend

Number of friend = 212 / 54

Number of friend = 4 friends (Approx)

B. Amount of berries each friend get

Amount of berries each friend get = 212 / 5

Amount of berries each friend get = 42.4 pound

It’s asking : the table shows the relationship between the cost of an item and the length of time in months it lasts . What graph represents the data in the table?

1. F
2. H
3. I
4. G

Answers

Answer:

F

Step-by-step explanation:

I think

Answer:

F

Step-by-step explanation:

Solve by the substitution method.
6x + 8y = 0
-7x + y = 31

Answers

Answer:

(-4, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

6x + 8y = 0

-7x + y = 31

Step 2: Rewrite Systems

-7x + y = 31

Add 7x to both sides:                    y = 7x + 31

Step 3: Redefine Systems

6x + 8y = 0

y = 7x + 31

Step 4: Solve for x

Substitution

Substitute in y:                    6x + 8(7x + 31) = 0Distribute 8:                        6x + 56x + 248 = 0Combine like terms:           62x + 248 = 0Isolate x term:                     62x = -248Isolate x:                              x = -4

Step 4: Solve for y

Define equation:                    -7x + y = 31Substitute in x:                       -7(-4) + y = 31Multiply:                                  28 + y = 31Isolate y:                                 y = 3

A 20-dirham note is 13 cm long. How many such notes need to be placed one after the other without overlapping to cover a length of 1 1 2 m?

Answers

Answer:

861 (approx)

Step-by-step explanation:

It is given that there is a note of 20 dirham. The 20 dirham note is 13 cm long. And we have to place the 20 dirham notes to cover a length of 112 m without overlapping the notes.

We know that :

100 cm = 1 m

∴ 13 cm = 0.13 m

In order to cover a length of 112 m, we have to divide 112 by 0.13, i.e.

[tex]$=\frac{112}{0.13}$[/tex]

[tex]$=\frac{11200}{13}$[/tex]

= 861 (approx)

Other Questions
please help! which sentence explains why the moon can be seen from the earth at night? here are the options to choose from The Rainy Day and The Castle-BuilderRead the selections and choose the best answer for each question. Poem 1: The Rainy DayBy Henry Wadsworth Longfellow The day is cold, and dark, and dreary; It rains, and the wind is never weary; The vine still clings to the mouldering1 wall, But at every gust the dead leaves fall, 5 And the day is dark and dreary. My life is cold, and dark, and dreary; It rains, and the wind is never weary; My thoughts still cling to the mouldering Past, But the hopes of youth fall think in the blast, 10 And the days are dark and dreary. Be still, sad heart! and cease repining2; Behind the clouds is the sun still shining; Thy fate is the common fate of all, Into each life some rain must fall, 15 Some days must be dark and dreary. 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