find the 10th term of the geometric sequence whose common ratio is 2/3 and whose first term is 3.

Answers

Answer 1

Answer:

[tex]\frac{512}{6561}[/tex]

Step-by-step explanation:

1) if according to the condition a₁=3 and r=2/3, then a₁₀ can be calculated as:

a₁₀=a₁*r⁹;

2) according  to the rule above:

a₁₀=3*(2/3)⁹=512*3/(6561*3)=512/6561.


Related Questions

if TSA of cuboid box is 486 cmsquare find its volume​

Answers

Answer:

It has 6 faces, So, each face has an area = 486/6 = 81 sq cm. Side of the cube =√81= 9 cm. Hence, volume of the cube = 9^3 = 729 cm^3.Jul 18, 2019

Step-by-step explanation:

Hope it's help

Hey ! Buddy

There's a mistake in your question it's not T.S.A of cuboid it is T.S.A of cube . Because it's not possible to find the length , breadth and height of cuboid without giving only it's Total Surface Area .

Question : -

If TSA of cube box is 486 cm square , find its volume .

Given : -

Total Surface Area ( T.S.A ) of cube is equal to 486 cm square .

To Find : -

Volume of cube

Concept : -

For solving such types of questions we must have knowledge of faces of shapes and formula for surface areas and volumes of three dimensional shapes .

Formula Used : -

Area of square = side²

Volume of cube = a³

Solving Question : -

We know that cube have 6 faces . So area of each faces is equal to :

[tex] \rightarrow \: \cancel\frac{486}{6} \: cm \: sq.[/tex]

Now , dividing 486 by 6 :

[tex] \rightarrow \: 81 \: cm \: sq.[/tex]

Therefore , each square faces of cuboid have area of 81 cm square .

Now , We know that area of square :

Side ²

s² = 81

s = √81

s = 9 cm

Therefore , side/edge of cube is of 9 cm ..

Now , finding volume of cube :

We know that volume of cube is equal to ,

9 × 9 × 9

81 × 9

729 cm³

Therefore , volume of cube is 729 cm³ .

#Keep Learning

11:16 1
(
61
<
What is the area of this figure?
15 mi
4 mi
5 mi
11 mi
6 mi
4 mi
15 mi
18 mi
Write your answer using decimals, if
necessary.

Answers

Answer:

268

Step-by-step explanation:

Divide the figure into 3 pieces, a triangle, a rectangle, and another rectangle.

Triangle area=18*(15+6+1) * 1/2, or 189

Rectangle 1= 4*11= 44

Rectangle 2= 7*5= 35

Add all up, get 268

Find the volume of the cone. Round your answer to the nearest tenth.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Radius (r) = 2 cm

height (h) = 8 cm

Now, let's apply the formula :

[tex]\qquad \sf  \dashrightarrow \:v = \frac{1}{3} \pi {r}^{2} h[/tex]

[tex]\qquad \sf  \dashrightarrow \:v = \frac{1}{3} \times 3.14 \times {(2)}^{2} \times 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:v = \frac{100.48}{ 3} [/tex]

[tex]\qquad \sf  \dashrightarrow \:v = 33.49333333.....[/tex]

[tex]\qquad \sf  \dashrightarrow \:v \approx33.5 \: \: cm {}^{3} [/tex]

What is the approximate volume of the cone? Use 227
22
7
for π. Enter your answer in the box.

Answers

Answer:

132 cm³

Explanation:

[tex]\sf volume \ of \ cone = \dfrac{1}{3} \pi r^2h[/tex]

put radius: 3 cm, height: 14 cm, π as 22/7

[tex]\sf \rightarrow \dfrac{1}{3} *\dfrac{22}{7} * (3)^2(14)[/tex]

[tex]\sf \rightarrow 132 \ cm^3[/tex]

Please answer these questions:

a) What are the 2 features that make this shape a square?
b) A quadrilateral has no pairs of parallel sides. What 2 shapes could this be?
c) A triangle has one pair of equal sides and one pair of equal angles. What is it called?

Answers

Answer:

A. 1. The sum of all interior angles is equal.

    2. All sides are equal in length.

B. Trapezium.

C. isosceles triangle.

Simon does some shopping on the internet. He buys 4 CDs at $8.63 each. How much do the CDs cost altogether?

Answers

Answer:

34.52

Step-by-step explanation:

Multiplication plus may i have branlies t

Answer:

the total would be 34.52

Step-by-step explanation:

If we have 4 Cd's that cost 8.63 a piece, all we would need to do is multiply 8.63 by 4, or just add 8.63 4 times.

hope this helps, please rate and mark as brainlest.

please help I'm trying to write this in scientific notation
will give brainliest

Answers

Answer:

8.0 * 10^4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

8.0 x 10 4

Step-by-step explanation:

This is right

What single decimal multiplier would you use to decrease by 2% followed by a
3% decrease?

Answers

2% decrease= 0.98

3% decrease = 0.97

A 10" x 10" sheet of paper is cut diagonally into two congruent right isoscele
triangles. What is the area of each triangle?

Answers

Answer:

20

Step-by-step explanation:

.

A ladder leans against a 40ft building. The foot of the ladder is 16 feet from the building. About how
long is the ladder? Round to the nearest hundredth

Answers

Answer:

60 feet

Step-by-step explanation:

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

See below.

Step-by-step explanation:

The answer would be 2 3/4.

The third tick represents 3/4, and this is between 2 and 3.

-hope it helps

Answer:

My guess is 2 3/4

Step-by-step explanation:

Sorry if i'm wrong, if im right can i have brainliest? So explanation is that the plotted point on the number line is c so that will make the numerator is id.k the difference between them the top of the number would be three because c is ploted on c and id.k how to get 4.

Not entirely sure….some help please?

Answers

Answer:

55°

Step-by-step explanation:

The definition of an isosceles triangle is that there are two sides of equal length and one side of a different length. Because two sides have the same length, their respective angles have the same measure. For example, side BC goes with angle A; because it is the same length as side AB which goes with angle C, angles A and C are the same. Just set the angles equal to each other and begin solving an algebraic expression as shown here:

[tex]3x+40=x+50\\3x-x+40 = x-x+50\\2x+40=50\\2x+40-40=50-40\\2x=10\\\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]

Now that you know what x is equal to, plug it into angle A's equation.

[tex]3(5)+40\\15+40\\55[/tex]

Angle A is equal to 55°

What decimal is equivalent to 85/99?

0.76
0.767676...
0.85
0.858585...

Answers

Answer:

The repeating decimal is 85/99 = 0.858585...

Step-by-step explanation:

A rational number in the form of a fraction can be represented as a decimal by dividing the numerator by the denominator. For example, this is how we get 0.75 = 3/4: (first screenshot)

Now let's divide 85.0000... by 99. Find enough decimal digits in the numerator so we can see whether the decimal terminates or starts to repeat. (second screenshot) Since the number 850 repeats itself, this is a repeating decimal.

SOMEONE HELP!!!!!!!!!!!!!!!!!1

Answers

Answer:

5

Step-by-step explanation:

Determina el grado de y =3r⁵ + 8r³

5

The circle below is centered at (10, 4) and has a radius of 4. What is its equation? A. (x - 10)2 + (y - 4)2 = 16 B. (x - 10)2 + (y - 4)2 = 4 C. (x - 4)2 + (y - 10)2 = 4 D. (x - 4)2 + (y - 10)2 = 16

Answers

Answer: A

Step-by-step explanation:

Condense the logarithmic expression using logarithmic properties.

3 log x + 2 log y - log y

Answers

Answer: [tex]log (x^3y )[/tex]

Step-by-step explanation:

First we want to make the coefficients of the log the exponents of what is in the log

[tex]3 log (x) + 2 log (y) - log (y)\\log (x^3) + log (y^2) - log (y)[/tex]

Now adding two log with the same base is the same as multiplying what you are taking the log of

[tex]log (x^3) + log (y^2) - log (y)\\log (x^3y^2) - log (y)[/tex]

Now subtracting two logs with the same base is the same as dividing what you are taking the log of

[tex]log (x^3y^2) - log (y)\\log (\frac{x^3y^2}{y} )[/tex]

Now we simplify

The [tex]y^2[/tex] cancels out the y in the denomiator

[tex]log (x^3y^2) - log (y)\\log (x^3y )[/tex]

Step-by-step explanation:

xlog3+ylog2-ylog

log3×log2 -ylog

log6-ylog

What is the shape of the cross section taken perpendicular to the base of a cylinder?

Circle
Rectangle
Ellipse
Triangle

Answers

I think it is a rectangle since the base is a circle

Answer:

rectangle

Step-by-step explanation:

the question is asking what the shape of the cross section would be if it was perpendicular to the base. imagine a cylinder that you could slide a piece of paper into. what would be inside the cylinder? perpendicular to the base, it would be a rectangle. if it was parallel to the base, you'd then have a circle.

Lots of points

Please help

i add a photo ​

Answers

C = 6*P

Use that formula and plug in the x-axis values for P and plot the results (C) on the graph
The answer is 6*p.
Thanks

List the first five natural numbers.

Answers

[tex]1, 2, 3, 4, 5 [/tex]

Answer:

The first five natural numbers are 1, 2, 3, 4, and 5.

Step-by-step explanation:

Natural numbers, which include all positive integers from 1 to infinity, are a component of the number system. Natural numbers, which do not include zero or negative numbers, are also known as counting numbers. They are only positive integers, not zero, fractions, decimals, or negative numbers, and they are a component of real numbers. Numbers may be found everywhere around us, used for counting items, representing or transferring money, calculating temperature, telling time, and so on. "Natural numbers" refer to the numbers that are used to count items. When counting items, we may say 5 glasses, 6 books, 1 bottle, and so on. A collection of all whole integers except 0 is referred to as whole numbers. These figures play an important role in our daily actions and communication.  Natural numbers are those that can be counted and are a portion of real numbers. Only positive integers, such as 1, 2, 3, 4, 5, 6, etc., are included in the set of natural numbers. Non-negative integers are also known as natural numbers (all positive integers). 23, 56, 78, 999, 100202, and so forth are only a few instances. A collection of elements is referred to as a set (numbers in this context). In mathematics, the set of natural numbers is expressed as 1,2,3,... 1 is the lowest natural number. We know that the smallest element in N is 1 and that we can talk about the next element in terms of 1 and N for any element in N. (which is 1 more than that element). Two is one greater than one, three is one greater than two, and so on. The natural numbers from 1 to 100 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99 and 100.

The cost price of 12 candles is equal to the sellering price of 15 candles. Find the loss percent.

Answers

Answer: Let SP of 15 candles = Rs.100. CP of 12 candles = SP of 15 candles = Rs.100 CP of 15 candles = = Rs.125 Loss = CP – SP = 125 – 100 = 25 = 20% 10.

Step-by-step explanation: This was a simple answer also CP means sale price

What value of x makes a true equivalent fraction statement. 3/x = 27/54

Answers

3/x=27/54

or,x×27=3×54

or,27x=162

or,x=162/27

or,x=6

Hope you will give me brainliest

ella wrote 8 more stories than anna. Is it a word phrase or scenario

Answers

scenario - as it describes the story and the character's action.

Ella wrote 8 more stories than Anna in the fifth grade.

let s, be the number of pages Anna wrote.

Expression:

s + 8

This should be easy for me but I just can't get it right.
Please Help Me! ASAP! :) Thank you hope your day was alright.
Will try to mark Brainliest!

Answers

Answer:

1. 32

2. 47

3. See explanation for number 3 below

Step-by-step explanation:

All you have to do is simply add 17 to however old Titus is. So if he's 15 years old, you just simply have to do 15+17, which is 32. For number 3, I'm assuming that they just want an explanation for how you do this process, in which case, this explanation is the answer to number 3. If that's not what they're looking for in number 3, then I'm sorry. But I'm pretty sure that's what they want there.

Please help with this question I have been stuck on it for so long

Answers

Answer:

Step-by-step explanation:

If i is 300 times as much as k, then i=300k.

So we have k(something)=300k -> that something is 300

Suppose that spain has a workforce of 22.85 million people, and that the average salary for each person is €24,200 annually. spain has imports of €290.85 billion and exports of €200.13 billion. if the spanish government levies a 7% tariff on exports, an 18% tariff on imports, and a 21% income tax, how will the revenue gained from tariffs and the revenue gained from income tax compare? a. the government will earn €80.7214 billion more from tariffs than from income tax. b. the government will earn €29.5030 billion more from tariffs than from income tax. c. the government will earn €63.7707 billion more from income tax than from tariffs. d. the government will earn €49.7616 billion more from income tax than from tariffs.

Answers

The revenue that the Spain government gained from tariffs and the revenue gained from income tax compare as given by: Option d. the government will earn €49.7616 billion more from income tax than from tariffs.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we have these information:

Import amount = €290.85 billionTariff on import = 18% on import amountExport amount =  €200.13 billionTariff on export = 7% on export amountTotal people in Spain = 22.85 millionEach person's average salary = €24,200 annuallyTax on income = 21%

Calculating the earnings from tariffs and income tax:

Earning from imports = 18% of €290.85 billion = [tex]\dfrac{290.85 \times 10^9}{100} \times 18 = 52.353 \times 10^9[/tex] = €52.353 billionEarning from exports = 7% of €200.13 billion = [tex]\dfrac{200.13 \times 10^9}{100} \times 7 = 14.0091 \times 10^9[/tex] = €14.0091 billionTotal income earned by 22.85 million people = [tex]22.85 \times 10^6 \times 24200 = 552.97 \times 10^9 \ \: \rm (in \: euros)[/tex].

Tax generated from income = 21% of €552970 =

[tex]\dfrac{552.97 \times 10^9}{100}\times 21 = 116.1237 \: \rm billion \: euros[/tex]

Earning from tariffs = 52.353 billion + 14.0091 billion = 66.3621 billion

Difference in earning from income tax and tariffs is:

116.1237 billion - 66.3621 billion = 49.7616 billion euros.

Thus, the revenue that the Spain government gained from tariffs and the revenue gained from income tax compare as given by: Option d. the government will earn €49.7616 billion more from income tax than from tariffs.

Learn more about percent here:

https://brainly.com/question/11549320

Can someone please help

Answers

Answer:

41

Step-by-step explanation:

an = a1 + (n-1)d

a_n = the nᵗʰ term in the sequence = 10

a_1 = the first term in the sequence = 5

d = the common difference between terms = 4

a10 = 5 + (10-1)4

a10 = 5 + (9)4

a10 = 5 + 36

a10 = 41

Pls help me solve this

Answers

30 red, 45 brown, 51 Orange, 39 yellow.
You need to add together the 4 numbers in the chart 10+15+17+13=55 then you do 10/55=0.1818... then times by 165 and do this for the other numbers as well.

Find the area when the circumference is 50.24 cm

Answers

Answer:

201

Step-by-step explanation:

C = 2pi.R

50.24/2pi = R

R= 8

area = pi R² = pi x 8² = 201

Explain how to determine if the two expressions are equivalent using x = 6 and x = 10. 8x 40 8(x 5)

Answers

The two expressions are equivalent, which gives the same values at x=6 and x=10 when put the values of x and compare them.

What is the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given expressions are,

[tex]8x +40[/tex]

[tex]8(x+ 5)[/tex]

It has to determine if the two expressions are equivalent using x = 6 and x = 10.

The value of the first equation at x=6 are,

[tex]8x +40=8(6)+40\\8x +40=48+40\\8x +40=88[/tex]

The value of the first equation at x=10 are,

[tex]8(10) +40=80+40\\8(10) +40=120[/tex]

Now, the value of the second equation at x=6 are,

[tex]8[(6)+5]=48+40\\8[(6)+5]=88[/tex]

Similarly, the value of the second equation at x=10 are,

[tex]8[(10)+5]=80+40\\8[(10)+5]=120[/tex]

The values of both equation are same at x=10 and x=6.

Hence, to determine, the two expressions are equivalent using x = 6 and x = 10, put the values of x and compare the values.

Learn more about the equivalent expression here;

https://brainly.com/question/2972832

i am stuck on this question please help me

Answers

Answer:

h = 8 units, b = 20 units

Step-by-step explanation:

h = 2 units
2 x 4 = 8

b = 5 units
5 x 4 = 20 units

Therefore, h = 8 units and b = 20 units

Hope this helps :)

Other Questions
Please do the True or FalseI dont really need the rewrite but Ill give brainliest to the person that does it Who was the biggest corrupt politician of the day?. After Sarah's family moved to Ireland, she and Tara were separated by the Atlantica prolific written correspondence sustained their friendship.Ocean butOcean; butOcean, but A wire is first bent into the shape of a triangle. Each side of the triangle is 16 long. Then the wire is unbent and reshaped into a rectangle. If the length of the rectangle is 15 in, what is its width? Mar 31, 2:56:59 PMRyan needed to get his computer fixed. He took it to the repair store. The technicianat the store worked on the computer for 3.75 hours and charged him $192 for parts.The total was $398.25. Which equation could be used to representthe context if x represents the cost of labor per hour? 8. A focus of British reform efforts in India wasa. The use of English language.b. Adopting Western education.C. The spread of evangelical Christianity.d. All of these.PreviousNext What are the contributions of biological sciences in writing of African history Farmer Elentire had mimstoons on her farm. As days (X) increased,the total count of mimstoons (Y) changed. The equation (rule) thatrepresents this relationship is:Y = 8x + 18Fill in the table based on this relationship: _______ oxides are oxides of certain non metals Match each event of mitosis to the stage in which it occurs When analyzing a market how do economists deal with the factors that affect market Brazil produces steel and then makes,cars , machines and other goods because it has vast deposits of which resource? Now suppose you buy a stock for $3,500. It decreases in value by 3% and then rises 8%. To the nearest cent, what is the new value of the stock now? Rewrite the expression 2 square root X4x^-5/2 in the form kx^n What is environmental? Help picture below problem 8 Evaluate the extent to which nations utilized armed struggle to pursue independence after 1900 A bag contains 30 cookies: 9 vanilla, 9 chocolate, and 12 oatmeal. What is the probability that a chocolate is randomly selected Anyone born in the united states is automatically a citizen, according to the. Can someone please help me