i need help please
find the 7th term
3, 1,1/3

Answers

Answer 1

The sequence 3, 1,1/3 is a geometric sequence

The 7th term of the sequence is 1/243

How to determine the 7th term?

The sequence is given as:

3, 1,1/3

The above sequence is a geometric sequence with the following parameters:

First term, a= 3Common ratio, r = 1/3

The nth term is then calculated as:

Tn = ar^(n-1)

So, the 7th term is:

T7 = ar^6

Substitute known values

T7 = 3 * (1/3)^6

This gives

T7 = 1/3^5

Evaluate

T7 = 1/243

Hence, the 7th term of the sequence is 1/243

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Related Questions

Will V − E + F always equal 2?

Answers

The expression V − E + F is an illustration of the Euler's formula.

The expression V − E + F is always 2

How to determine the true statement?

The equation is given as:

V - E + F = 2

Where:

V represents the verticesE represents the edgesF represents the faces

According to the Euler's formula, the relationship between V, E and F is:

V + F = 2 + E

Subtract E from both sides

V - E + F = 2

Hence, the expression V − E + F is always 2

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What is the Pythagorean triplet whose one member is 14

Answers

Answer:

14, 48 and 50

Step-by-step explanation:

A point has zero dimension.
Q.A. True
• B. False
SUBMIT

Answers

true. a point is just a position in space that has no dimensions. :)

Beth and Leslie are trying to decide which one of them gets to portray the lead character in a student play. They will use a random number generator to produce an integer. If the integer that comes up is odd, Beth gets to play the lead, and if the integer is even, Leslie gets to play the lead. Having the random integer generated be in which interval will make this a fair decision?
A) from 2 to 10 B) from 3 to 15 C) from 5 to 20 D) from 5 to 25

Answers

The fair interval illustrates a sample space

The interval that will make a fair decision is from 5 to 20

How to determine the fair interval?

From the question, we understand that:

Beth plays the lead, and if the integer is even, Leslie plays the lead, if otherwise

Since they choose odd and even integers, then the sample space must be divisible by the number of people (i.e 2 people)

The sample space (S) is calculated as:

S = Highest - Least + 1

A) from 2 to 10

S = 10 - 2 + 1 = 9

B) from 3 to 15

S = 15 - 3 + 1 = 13

C) from 5 to 20

S = 20 - 5 + 1 = 16

D) from 5 to 25

S = 25 - 5 + 1 = 21

Only 16 can be divisible by 2

Hence, the interval that will make a fair decision is from 5 to 20

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Is 6x^-3x a polynomial

Answers

no, a polynomial should have four terms
example: 5xy^2 - 3x + 5y^3 - 3

Help me with this question, please

Answers

Answer:

Step-by-step explanation:

x+y=10

1.50x+2.50y=22

Then use the the elimination method. The final answer is x=3, y=7.

Write these as ordinary numbers:
A. 4×10³
B. 7×10⁹
C. 4×10⁰

Answers

A) 4×10³

= 4000

B. 7×10⁹

= 7000000000

C. 4×10⁰

= 4

( to convert back to ordinary form just move the decimal point according to the power. )

Answer:

A. 4000

B. 7000000000

C. 4

Step-by-step explanation:

A. 4×10³

= 4 × 1000

= 4000

B. 7×10⁹

= 7×1000000000

= 7000000000

C. 4×10⁰

(a⁰=1)

= 4×1

= 4

!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Question 1
The prism shown in the diagram has a volume of 39 units. What is the volume of the pyramid? Explain your reasoning.

Question 2
Consider this cone and pyramid, which have the same height, h. Planes parallel to the base cut through each solid at equal
heights, as shown.

Part A
What is the approximate area of each cross section of the cone and pyramid?
Type the correct answer in each box. Use numerals Instead of words.

Part B
Consider your results from part A. What conclusion can you draw about the volumes of the cone and pyramid? Explain
your reasoning.

Part C
The volume of the pyramid is one-third of the area of its base multiplied by its height, which is 144/3 pi h cubic units. Using
this measurement and your answer from part B, derive a formula for the volume of a cone.

Answers

The volume of the cone and pyramid are the same.

Formula for volume of cone = ⅓(144π × h)

What is the Volume of a Triangular Pyramid and a Cone?

Volume of cone = ⅓[πr² × height of cone)

Volume of triangular pyramid = ⅓[(½bh × height of pyramid)]

Also note the following:

Area of a circle = πr²

Area of a triangle = ½bh

Part A:

Area of circle 1 = πr² = π(12²) = 144π units²

Area of circle 2 = πr² = π(6²) = 36π units²

Area of circle 3 = πr² = π(3²) = 9π units²

Area of triangle 1 = ½(24)(12π) = 144π units²

Area of triangle 2 = ½(12)(6π) = 36π units²

Area of triangle 3 = ½(6)(3π) = 9π units²

Part B: Based on our results in part A, the volumes of the cone and pyramid, having the same height are the same.

Part C:

Volume of pyramid = ⅓(144π × h)

Using this measurement and our conclusion in part B:

Formula for the Volume of a cone = ⅓(144π × h)

Learn more about the volume of cone and pyramid on:

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ok only 3 questions and going to sleep

WILL MARK BRAINLIEST

Answers

Answer:

71.2

Step-by-step explanation:

PEMDAS is Parentheses, Exponent, Multiplication, Addition, Subtraction

This is just the order you do the operations.

First, Parentheses.

Second, Exponents,

Third, Multiplication or Division

Last, Addition or Subtraction

So, in 6 x (2.4 + 10.3) - 5

We first do parentheses which is

(2.4 + 10.3) = 12.7

Now we have,

6 x 12.7 - 5

The next thing is multiplication

6 x 12.7 = 76.2

Now we have,

76.2 - 5

Lastly subtract,

76.2 - 5 = 71.2

Lars read that there are about
210,000 grains of salt in one
teaspoon.
How is 210,000 written as a power
of ten?
A. 210 X 104
B. 21 X 104
C. 21 X 108
D. 2.1 X 10^

Answers

Answer

the answer is a

Step-by-step explanation:

{The answer is B}, because 21 times 10 is 210 and then do power of ten, power of ten 3 more times will get you to 210,000. (Basically adding [4] zeros at the end)

Choose the square with a perimeter of 24 inches.

A) A

B) B

C) C

Answers

Answer:

A. 6+6+6+6=24

Hope this helps!

Answer:

its a

Step-by-step explanation:

⇒ because if you add 6 four types it equals = 24 inches hope this helped

Jenna concludes that (4, 9) is the solution to the system of these two equations. Which of the following justifies her conclusion?
Only these two lines contain the point (4, 9).
The point (4, 9) appears in both tables.
These two lines have the same rate of change.
These two lines are perpendicular to each other.

Answers

The point (4,9) appears in both tables. A solution of a system of equations is defined
as a point

Complete the equation below to make an equation that is equal to 1.

Answers

Answer: 5/10 +5/10 =10/10 =1

Step-by-step explanation: I don't think this requires much explanation. Any number with same numerator and denominator equals 1.

When you get 10/10, the first and second box can be figures that sum up to be 10.

It can be 7 and 3, it can be 6 and 4

Which expression is equal to

Answers

answer: the third one
explanation: below

plane leaves the airport at 9:15 p.m. and travels at 560 km/h. how far away will it be at midnight?

Answers

t=2 hrs-------so 2 hrs after the second plane leaves it will catch the first plane

CK

720+240*2=600*2

720+480=1200

1200=1200

Parallelogram ABCD has the following vertices: A(3,6), B(6,8), C(9,6), and D(6,4). In two ut more complete sentences, explain how you can use the coordinates of the vertices to prove that parallelogram ABCD is a rhombus.​

Answers

Explanation:

A rhombus is a parallelogram in which the diagonals are mutual perpendicular bisectors. The coordinates of the vertices can be used to show ...

the diagonals bisect each otherthe diagonals are perpendicular

When both these conditions are met, the quadrilateral is a rhombus.

__

Mutual Bisectors

The diagonals will have the same midpoint (bisect each other) if the sum of the coordinates at the ends of one diagonal is the same as the sum of the end point coordinates of the other diagonal:

  A +C = B +D

  (3, 6) +(9, 6) = (6, 8) +(6, 4)

  (3+9, 6 +6) = (6 +6, 8 +4)

  (12, 12) = (12, 12) . . . . . . midpoints are the same; ABCD is a parallelogram

__

Perpendicular

The diagonals will be perpendicular if the sum of the products of the coordinate differences of their end points is zero.

  AC⋅BD = (C -A)⋅(D -B) = (9 -3, 6 -6)⋅(6 -6, 4 -8)

  = (6, 0)⋅(0, -4) . . . . . end point differences; we want their dot-product

  = (6)(0) +(0)(-4) = 0 +0 = 0 . . . . diagonals are perpendicular

_____

Additional comment

The midpoints are computed as (A+C)/2 and (B+D)/2. We have multiplied each of them by 2 to simplify the arithmetic. Our resulting sums of (12, 12) must be divided by 2 to get the actual midpoint of the rhombus: (6, 6).

The notion of "dot product" is a vector notion. Two vectors are perpendicular when their dot product is zero. The dot product is the scalar sum of the products of corresponding coordinates.

A glider flies 8 miles south from the airport and then 15 miles east. Then it flies in a straight line back to the airport. What was the distance of the glider's last leg back to the airport?

Answers

Answer:

17

Step-by-step explanation:

This flight makes a right triangle

The sides are 8 and 15. The hypotenuse isnt know and that is the answer.

8^2 + 15^2 = c^2

c^2 = 289

c = 17

hello brainly team I need help​

Answers

Answer:

5)

x=13.856

y=8

6)

u=4

v=3.464

Step-by-step explanation:

5)

y=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)

y = 16*sin(30)/sin(90)

y=8

x=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)

x=16*sin(60)/sin(90)

x=13.856

6)

sinA/(opposite of angle A) = sinB/(opposite side of angle B) = sinC/(opposite of side of angle C)

sin(90)/u= sin(30)/2

u *sin(30) = 2* sin(90)

u *sin(30) = 2

u=2/sin(30)

u=2/0.5

u=4

sin(60)/v= sin(30)/2

v *sin(30) = 2* sin(60)

v *sin(30) = 2 * 0.866

v * sin(30) = 1.73

v = 1.73/sin(30)

v = 3.464

∴⊂Answer ⊃∴

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[5] x = 8 and y =  13.856

[6] v = 4 and u = 3.464

≤ Step-by-step explanation ≥

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

[5]

sin60° = x/16 = 1/2

x = 16/2 = 8

cos60° = y/16 = √3/2

y = 16√3/2 = 8√3

Can also be : 8√3 = 13.856

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

[6]

sin30° = 2/u = 1/2

u = 2 x 2 = 4

tan30° = 2/v = √3

v = 2√3

can also be:  2√3= 3.464

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

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~lenvy~

how much is 2.268 in dimes

Answers

Answer:

1 dime

Step-by-step explanation:

didvide 1 pound by the weight or the dime to get the answer

Simplify. 2(x^2 + 5) - 3(x + 1) + 3

Please explain how you got your answer, I'm really confused!! :( I will mark Brainliest!

Answers

Answer:

2x^2+10-3x

Step-by-step explanation:

start by multiplying numberes into the parentheses.

2x^2+10-3x-3+3

now combine like terms

2x^2+10-3x

I NEED HELP! I don’t get it at all

Answers

Answer:

5.83 cubic feet

Step-by-step explanation:

Volume of block1 :

l = 4 ft

[tex]\sf w = \dfrac{5}{6} \ ft\\\\ h = 1\dfrac{1}{6}=\dfrac{7}{6} \ ft[/tex]

[tex]\sf Volume \ of \ block1 = l*w*h\\[/tex]

                            [tex]\sf =4 *\dfrac{5}{6}*\dfrac{7}{6}\\\\ =\dfrac{5}{3}*\dfrac{7}{3}\\\\= \dfrac{35}{9} \ cubicfeet[/tex]

Volume of block2:

  l = 4 ft

  [tex]w = 1\dfrac{2}{3}-\dfrac{5}{6}\\\\ =\dfrac{5}{3}-\dfrac{5}{6}\\\\ =\dfrac{5*2}{3*2}-\dfrac{5}{6}\\\\=\dfrac{10}{6}-\dfrac{5}{6}\\\\w =\dfrac{5}{6} \ ft\\\\h =\dfrac{7}{12} \ ft[/tex]

            [tex]\sf Volume \ of \ block2 = 4 *\dfrac{5}{6}*\dfrac{7}{12}[/tex]

                                       [tex]\sf = \dfrac{5}{6}*\dfrac{7}{3}\\\\= \dfrac{35}{18} \ cubicft[/tex]

Amount of concrete to build stairs = Volume of block1 + volume of block2

                                                [tex]\sf = \dfrac{35}{9}+\dfrac{35}{18}\\\\=\dfrac{35*2}{9*2}+\dfrac{35}{18}\\\\=\dfrac{70}{18}+\dfrac{35}{18}\\\\=\dfrac{105}{18}\\\\= 5.83 \ cubic feet[/tex]

What is the quotient of (3x4 – 4x2 8x – 1) ÷ (x – 2)? 3x3 6x2 8x 24 – startfraction 47 over x minus 2 endfraction 3x3 6x2 8x 24 startfraction 47 over 3 x superscript 4 baseline minus 4 x squared 8 x minus 1 endfraction 3x3 6x2 8x 24 startfraction 47 over x minus 2 endfraction 3x3 6x2 8x 24 – startfraction 47 over 3 x superscript 4 baseline minus 4 x squared 8 x minus 1 endfraction

Answers

The quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

It can be expressed as 3x³ + 6x² + 8x + 24  + 47 / x - 2

What are the Quotients?

Quotients is the number obtained by dividing one number by another.  

The given expression is;

(3x⁴ - 4x² + 8x - 1) ÷ (x - 2)

Using synthetic division:

(3x⁴ - 4x² + 8x - 1) / (x - 2)  = 3x³ + 6x² + 8x + 24 remainder 47

3x⁴ - 4x² + 8x - 1 → Dividend

x - 2 → Divisor

3x³ + 6x² + 8x + 24 → Quotient

47 → Remainder

The quotient is;

[tex]\rm =\dfrac{3x^4-4x^2+8x-1}{x-2}\\\\=\dfrac{(3x^3 + 6x^2 + 8x + 24)(x-2)}{x-2}\\\\=3x^3 + 6x^2 + 8x + 24[/tex]

Therefore, the quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

learn more on quotients:

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The quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) would be 3x³ + 6x² + 8x + 24.

What are the Quotients?

Quotients are the number that is obtained by dividing one number by another number.

The given expression

(3x⁴ - 4x² + 8x - 1) ÷ (x - 2)

(3x⁴ - 4x² + 8x - 1) / (x - 2)  = 3x³ + 6x² + 8x + 24

remainder is 47

Here,

3x⁴ - 4x² + 8x - 1 = Dividend

x - 2 = Divisor

3x³ + 6x² + 8x + 24 = Quotient

47 = Remainder

The quotient is;

(3x⁴ - 4x² + 8x - 1) / (x - 2)

(3x⁴ - 4x² + 8x +24) (x - 2) / (x - 2)

3x³ + 6x² + 8x + 24

Therefore, the quotient of (3x⁴ - 4x² + 8x - 1) ÷ (x - 2) is 3x³ + 6x² + 8x + 24

learn more about quotients:

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The wood on the back deck of a house needs waterproofing. The shape of the deck is a rectangle with the length * 35 feet and a width of 5 yards. A gallon can of waterproof stain covers 80 square feet and costs $19.99 per can plus 7% sales tax. You go to the hardware store to purchase the waterproof stain needed to complete the job. You give the cashier $150.
How much change do you receive, or how much additional cash must you find in order to be able to pay for all of the
stain you need? You must show all calculations.
Area of Rectangle = length X width
You cannot split up a can of stain.
You must show all calculations.

Answers

Hey I hope you have a good day today

To estimate the product of 44 x 52, what is the best way to round the factors?

45 x 55
40 x 50
50 x 50
40 x 55
WILL MARK BRAINLIEST

Answers

40 x 50 reduce to lowest term

An item is regularly priced at $80. It is now priced at a discount of 70% off the regular price. What is the price now?

Answers

Answer:

$24

Step-by-step explanation:

PRICE=$80

DISCOUNT=70٪ OF $80=(70/100)×80=70×80/100=$56

HENCE DISCOUNT=$56

NOW THE PRICE=$80-$56=$24

I HOPE IT HELPED YOU

Answer: 24

Step-by-step explanation:

Multiply the original price by how much is being discounted.

80 x .70 = 56

Subtract the answer from the original price.

80 - 56 = 24

Can someone help me with this problem?

Answers

30(2+1) is the answer

Answer:

30(2+1)

Step-by-step explanation:

Again, find common highest number. It is 30.

60/30 =2

30/30 = 1

so,

30(2+1)

You earn $1,166 gross taxable income every week, and have claimed no exemptions. assuming that you have no other sources of income, what is the amount of income tax withheld each week? for weekly gross income between 1,160 and 1,170 dollars and claiming no exemptions, 340 dollars will be withheld each week. a. $323 b. $337 c. $340 d. $344 please select the best answer from the choices provided a b c d

Answers

They are exempt from income tax and we would get the income tax withheld as $340.

What is tax?

The person does not have another source of income, and there are no exceptions that are claimed by the person.

The withheld tax which is held every week can be calculated as;

Amount of income tax = 30 % of 1,166

Amount of income tax = $339.6

Amount of income tax = $340

Hence, they are exempt from income tax and we would get the income tax withheld as $340.

Read more about taxable income here:

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Write −0.258
as a fraction in simplest form. ITS NOT 129/500

Answers

It is -129/500, it isn’t positive
answer: -129/500
explanation:

Factor the polynomial 3x4 – 2x2 15x2 – 10 by grouping. which product is the factored form of the polynomial? (–x2 – 5)(3x2 2) (x2 – 2)(3x2 5) (x2 5)(3x2 – 2) (3x2 – 5)(x2 2)

Answers

The factor of the given polynomial are (3x^2-2)(x^2+5)

The polynomial

[tex]3x^4-2x^2+15x^2-10[/tex]

What is the factor of the polynomial?

Factoring a polynomial is expressing the polynomial as a product.

The rearranged, grouped, and solved as follows

[tex]3x^4+15x^2-2x^2-10[/tex]

[tex]3x^4+15x^2-(2x^2+10)[/tex]

Factor out the common term

[tex]3x^2(x^2+5)-2(x^2+5)[/tex]

[tex](3x^2-2)(x^2+5)[/tex]

That is the third option is the correct option.

Therefore the factor of the given polynomial are  (3x^2-2)(x^2+5)

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Select all of the equations that are equivalent to 3x+45=180
1. 3(x+45)=180
2. 3(x+15)=180
3. 3(x+15)=60
4. x+15=60
5. 3x=135

Answers

2 and 5 are the correct answers
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