Write an explicit formula for the geometric sequence below and use it to find the 9th term.

256, 64, 16, 4, . . .

Answers

Answer 1

Answer:

The explicit formula is;

Tn = 256(1/4)^(n-1)

The 9th term is;

256/65536

Step-by-step explanation:

Mathematically, we have the nth term of a geometric sequence as;

Tn = ar^(n-1)

a is the first term = 256

r is the common ratio = 64/256 = 16/64 = 4/16 = 1/4

So, for the 9th term, we have

T9 = 256(1/4)^(9-1) = 256/65536

The explicit formula is;

Tn = 256(1/4)^(n-1)


Related Questions

Find the value of x
DUE SUNDAY I NEED ASAP

Answers

Answer:

x=43°

Step-by-step explanation:

The angles are adjacent and create a straight line so their sum is 180°.

(x+6)°+(3x+2)°=180°

x°+6°+3x°+2°=180°

4x°+8°=180°

4x°=172°

x=43°

the answer is x=43° !!

what is 2 to the tenth power

Answers

Answer:

1024

Step-by-step explanation:

2•2•2•2•2•2•2•2•2•2

1024

2 to the tenth power is 1024

What is the answer?

Answers

Answer:

66 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the base area and h the perpendicular height )

A = [tex]\frac{1}{2}[/tex] × 4 × 3 = 6 cm² ( Area of triangular base ) and h = 11

V = 6 × 11 = 66 cm³

the answer is 35cm to the 3rd power

Which of the following shows a group of possible angles a triangle could have?

A. 10 degrees, 10 degrees, 10 degrees
B. 30 degrees, 30 degrees, 30 degrees,
C. 60 degrees, 60 degrees, 60 degrees
D. 80 degrees, 80 degrees, 80 degrees

Answers

Answer:

C. 60 degrees, 60 degrees, 60 degrees

Step-by-step explanation:

The measures of interior angles of a triangle sum to 180°.

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

If x=7 and y=−5, evaluate the following expression:3x−y/2​

Answers

3(7) -(-5)/2

21 + 5/2

47/2

that's all

Answer:

x=7

y=−5

D= 47/2=23.5

FAST HURRY HELP PLZZ

Answers

Answer:

I think its A but not 100 percent sure

Step-by-step explanation:

2, 0

random words because word limit weee

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

How would i show my work on an online exam?

Answers

Answer:

1.47 years

Step-by-step explanation:

Given that,

The height of male elephant is given by the formula,

[tex]h=62.5\sqrt[3]{t} +75.8[/tex]

If h = 275 cm, we need to find the age of the elephant.

Put h = 275 cm in the above formula,

[tex]275=62.5\sqrt[3]{t} +75.8\\\\275-75.8=62.5\sqrt[3]{t}\\\\199.2=62.5\sqrt[3]{t}\\\\t=1.47\ years[/tex]

So, the required time be 1.47 years.

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 distance between points.

Answers

Answer:

5 units

Step-by-step explanation:

Here, The distance between two points is 5 units

-TheUnknownScientist

I WILL MARK AS BRAINLIST write all classifications for the real number 16

Answers

Natural , whole and integer ..

PLEASE HELPPPPPPPPPPPPPP

Answers

Answer:

None of these can be triangles.

Step-by-step explanation:

All triangles’ side lengths must follow this pattern - the two shortest sides must be GREATER than the longest when added together. 6 + 4 < 10, so this isn’t a triangle. 3 + 8 = 11, so this isn’t a triangle. 8.4 + 7.7 < 16.6, so this isn’t a triangle. Lastly, 4 + 3 < 16, so this isn’t a triangle. Hope this is accurate & helpful! Best of luck.

Paula and Simon are trying to find out if a different coin is biased. Paula throws this coin 10 times. She records the number of times the coin lands on heads. Simon throws the same coin 100 times. He records the number of times the coin lands on heads. Whose results will be more useful in deciding if the coin is biased? Give a reason for your answer.

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Simon

Explanation: Simon had more data in the sample, therefore the data will always be more accurate.

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Step-by-step explanation:

The larger the number of throws  the closer the results will be to the probability of a head.  That is for a fair coin it should be close to 50%.

With only 10 throws you could get a result not close to 50% but the coin could still be fair.

So Simon's results ( 100 throws)  would be more useful to decide if the coin is biased or not.

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:

PLS HELP WILL GIVE BRAILIEST!!!!!!! I NEED HELP SO BAD​

Answers

5x10x2= 100 hope this helps

a solid figure which has a surface that is
always the same distance from its center​

Answers

Answer:

sphere

hope this answer helps you..

Answer:

i don't know xD cya later

Given: tangent A = negative StartRoot 15 EndRoot What is the value of Tangent (A minus StartFraction pi over 4 EndFraction)? StartFraction StartRoot 15 EndRoot + 1 Over 1 minus StartRoot 15 EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction StartFraction StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot minus 1 Over 1 minus StartRoot 15 EndRoot EndFraction

Answers

Answer:

[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]

Step-by-step explanation:

Given

[tex]\tan A =-\sqrt{15[/tex]

Required

Find [tex]\tan(A - \frac{\pi}{4})[/tex]

In trigonometry:

[tex]\tan(A - B) = \frac{\tan A - \tan B}{1 + \tan A \tan B}[/tex]

This gives:

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - \tan \frac{\pi}{4}}{1 + \tan A \tan \frac{\pi}{4}}[/tex]

[tex]tan \frac{\pi}{4} = 1[/tex]

So:

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A * 1}[/tex]

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A}[/tex]

This gives:

[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]

Answer:

StartFraction StartRoot 15 EndRoot + 1 Over 1 minus StartRoot 15 EndRoot EndFraction

Step-by-step explanation:

EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction

Find the area of each figure. Round your answer to the nearest tenth. ​

Answers

Answer:

17.     9 yd^2

18.     37.5 yd^2 ( I'm not sure it is the right one.)

Step-by-step explanation:

17. 3*3 =9

18. 5*15/2=37.5 yd^2

5 is the side of the pentagon

Please help! correct answer gets brainliest!!!!!

Answers

Answer:

D

Step-by-step explanation:

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?

What is the distance between the points (-4,5) and (8,9)?

Answers

Answer:

d ≈ 12.65

Steps:

d² = (8-(-4))²+(9-5)²

d² = (8+4)² + 4²

d² = 12² + 4²

d² = 144 + 16

d² = 160

d = √160

d ≈ 12.65

Ms Matthews has 200 sheets of construction paper she will give each of her 27 students an equal number of whole sheets to use for a project how many sheets will each students an equal number of whole sheets will each students get ? how sheets many will be left over?

Answers

Answer:

Each student will get 7 sheets with 11 sheets left over.

Step-by-step explanation:

divide 200 and 27 to get 7

7 sheets for each student

then multiply 27 and 7 to see how many sheets of paper she gave to her students.

that will give you 189

then 200-189=11 sheets left over

7 sheets left over with 11 remaining

Sonia and Angela work at the same store. Each week, Sonia works 5 more hours
than Angela. Sonia earns $10.00 per hour and Angela earns $8.00 per hour.
a) Write a simplified expression to represent the total number of hours Sonia and
Angela work in one week.

Answers

Oh ok so the answer is 89 because of y plus x times x

Help people and no links or anything pls!
What is the total area of the top surface of all 16 solar panels? Describe the process you used to solve the problem.


What will you do? --
Answer --

Answers

Answer:

the area is 153,600 square feet

Step-by-step explanation:

240 feet × 40 feet = 9600 square feet  

9600 x 16 = 153,600 square feet

5 star please if this help. Hope it help. :)))

Answer:

the area is 153,600 square feet

Step-by-step explanation:

240 feet × 40 feet = 9600 square feet  

9600 x 16 = 153,600 square feet

I need someone to answer this

Answers

Answer:

(a+b)*(a+b)

c*c

(1/2*a*b)*4

Step-by-step explanation:

The area of a square is equal to side times side, so a+b=one of the sides of a square so you multiply this by another a+b to get the whole square

Same as the last part but c is equal to one side so we do c*c for the are

The area of a triangle is 1/2*base*height, so we do 1/2*a*b since a is equal to the base of the triangle and b is equal to the height. This is only equal to 1 triangle so we multiply this by 4 since there are 4 triangles in total

brass is an alloy of zinc and copper. if 30% of the content is zinc . find the weight of zinc and copper in 300 gram of brass.​

Answers

Step-by-step explanation:

Here's your solution

=> percentage of zinc = 30%

=> total weight of alloy = 300 gram

=> amount of zinc = (30/100)*300 = 90 gram

=> amount of copper = 300 - 90 = 210 gram

hope it helps

This year, Ravi watched 35 movies. He thought that 28 of them were very good. Of the movies he watched, what percentage did he think were very good?

Answers

Answer:

80%

Step-by-step explanation:

(28/35)x100
(.80)x100
80% of the movies he watched were very good

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

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
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