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

Please help me with this please and thank you

Answers

Answer:

12

Step-by-step explanation:

4x-3x

4*3=12

it is 12

please can i have help answering the question in the picture

Answers

the answer is gonna be x+3/x-2

Hey there!

Answer: [tex] \Rightarrow \sf{\frac{x+3}{x -2}}[/tex]

[tex] \rightarrow \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } }[/tex]

[tex] \rightarrow{ \rm{factorise} \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } } = \frac{(x + 2)(x + 3)}{ {x}^{2} - 4} = \frac{(x + 2)(x + 3)}{(x + 2)(x - 2)} = \Rightarrow \sf{\frac{x+3}{x -2}}}[/tex]

i need help understand my math so when finding the volume of a cylinder with a 10 inches in diameter and a 10 inches high while using this formula V=3.1.4*r^2*h why is there a five should it not be 10

V=3.1.4*5^2*10

Answers

Answer:

Step-by-step explanation:

The volume of a cylinder is the area of the circle times the hight of the cylinder.

Thus...

3.14*5^2*10=785

The reason it is 5 and not 10 is because it gives you the diameter in the word problem and the equation asks for the radius.

So you know that the radius is always half the diameter and half 10 which gives you 5.

Hope this helps!!!

How is the sentence "9 less than x is –1" written as an equation?

Answers

Answer:

Must not have more than ONE "=" sign in an equation like this one.

9 is less than x is -1

I will take the liberty of deleting the first "is" and then write out the expression:

9 less than x is -1, or     x-9 = -1

Add 9 to both sides to determine the value of x:  x = 8 (answer)

Step-by-step explanation:

Answer: x-9=-1

(they deleted my answer 4 some reason : /)

Step-by-step explanation:

Find the balance in the account after the given period
$3000 principal earning 5% compounded annually, 8 years
i really need help im confused

Answers

Answer:

$1200

Step-by-step explanation:

5% of $3000 = $150

multiply 8 by $150 = $1200

What is the area of the following figure?
17.6 mm

Answers

Step-by-step explanation:

Area = (17.6)²mm²

=309.76 mm²

5. Determine the rotation around the origin that was performed to transform the preimage on the left to its image on the right.
Preimage
Image

A. R90°

B. R270°

C. R-270°

D. R-180°

Answers

Answer:

It was rotated D. -180 degrees

Step-by-step explanation:

the reason that it was -180 degrees is because when you look at the points, points A and B were perfectly flipped around and on the other side of (0,0)

I Don’t get this, someone help!!

Answers

Step-by-step explanation:

4)For answer of no 4

the third side can be gotten by pythagoras theorem;

It says,

hyp^2=opp^2 + adj^2

hyp= ?

opp=30

adj=40

so,

hyp^2=30^2 + 40^2

hyp^2=900+1600

hyp^2=2500

square rooting both sides,

hyp=50ft

Therefore the missing side is 50ft

5) for number 5

opp is missing

remember,

hyp^2=opp^2+adj^2

opp^2= hyp^2-adj^2

opp^2=41^2-40^2

opp^2=1681-1600

opp^2=81

square rooting both sides,

0pp=9Inches

Solve w2 + 2 w - 24 = 0.

Answers

Answer:

w= -6

w= 4

Step-by-step explanation:

w= -b sqrt(b^2-4ac)

2a

let

a=1

b=2

c= -24

substitute values~

Hello!

[tex]==========================================[/tex]

In order to solve this equation for w, we need to factor it.

First, let's think of 2 numbers that multiply to -24 and add to 2.

These numbers are -4 and 6.

Check:

6×(-4)=-24 ✓

6+(-4)=6-4=2✓

Now, factor:

(     ) (    )

That's how it should look like:

(w+   )( w-   )

Now, instead of the blanks, plug in -4 & 6:

(w-4)(w+6)

Now, set each factor equal to 0:

w-4=0

w=4

w+6=0

w=-6

[tex]====================================[/tex]

Notes:-Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is power!Answered by:-

Nickname:-

[tex]\rule{1}{1}~\rule{2}{2}\mathbb{DiAmOnD}[/tex]

Brian is the coach of the High School basketball team in Scooterville. His starting five players (Jason, Mike, Jim, Dave, and Frank) all vary in their speed, height, and shooting ability. Use the following information to answer the question(s).

- Mike and Jim are quicker and better shooters than Jason and Dave.

- No person is the best (e. G. , tallest, quickest, best shooter) at more than one category.

- One person was the worst (eg, shortest, slowest, and worst shooter) for all three categories

- Jason is the third tallest.

- Frank is the best shooter

- Jim is the second fastest.

- Jim is a better shooter than Mike.

Which player is the tallest?

Answers

From the given information, the tallest player is: Dave.

Who is a player?

In sports, a player refers to an individual who takes part in a sports. It can be in football, rugby, badminton, lawn tennis, basketball, etc.

We can see from the above that Mike and Jim are faster and quicker shooters than Jason and Dave. Jim is the second fastest which means that Mike is the fastest. Since no person is the best (e.g. , tallest, quickest, best shooter) at more than one category, it then means that Dave is the tallest.

Learn more about sports on https://brainly.com/question/3951300

Jennifer has $65 to spend on pants and shirts. She buys a pair of pants for $25 and buys shirts that cost $11 each. What is the greatest number of shirts Jennifer can buy? Enter your answer in the box.

Answers

Answer:

3 pairs of shirts and one pair of pants

Step-by-step explanation:

$65-$25(for pants)=$40

$40/$11(how much one shirt cost)=3

what is the range of the exponential function y=2^x plus 2?



A. Y<0
B. Y<-1
C. Y<-2
D. Y<-1 (Less than or equal to)

Answers

It’s A
Explanation: because it’s A

The base of the sailboat is 9ft and the height is 15 what is the area??

Answers

A= 1/2 X base X height
a= 1/2 times 9 times 15 EQUALS TO 67.5
i hope this helps

Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank. ) A = 55°, a = 10. 1, b = 12. 3
Case 1
B
C
c
Case 2
B
C
c

A = 55°, a = 10. 1, b = 12. 3

Answers

The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°

What is sine rule?

Sine rule is used to show the relationship between the sides and angles of a triangle. It is given as:

a/sinA = b/sinB = c/sinC

Where A,B,C are the angles and a,b and c are the opposite sides to the angles.

1)

A = 55°, a = 10. 1, b = 12. 3

10 / sin(55) = 12.3 / sinB

B = 86.01°

A + B + C = 180° (angle in triangle)

55 + C + 86 = 180

C = 39

10 / sin(55) = c / sin(39)

c = 7.68

The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°

Find out more on sine rule at: https://brainly.com/question/4372174

it is 3 kilometers from Linda's house to the nearest mailbox. How far is it in meters? Be sure to include the correct unit in your answer.

Answers

Answer:

1km=1000m... thats basically the answer so the nearest mail box is 3000M

A swimmer speeds up 1.9 m/s to 3.8 m/s during the last 11.0 seconds of the race. What is the acceleration of the swimmer?

Answers

Given :-

Initial speed (v) = 1.9m/s

Final speed (u) = 3.8m/s

Time (t) = 11 s

Formula Used :-

[tex]v = u + a×t [/tex](a = acceleration)

➾ [tex]a = {\frac{u-v}{t}}[/tex]

Solution:-

[tex]a = {\frac{u-v}{t}}[/tex] (putting the value of v, u and t from above)

➾ [tex]a = {\frac{3.8-1.9}{11}}[/tex]

➾ [tex]a = {\frac{1.9}{11}}[/tex]

➾ [tex]a = 0.17 m/s (approx.)[/tex]

Therefore, the acceleration rate = 0.17m/s.

5x+3y-11
What’s the answer ?.

Answers

Answer:

x=3y/5 + 11/5

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable

x

Math homework pls help!!!!!

Answers

Answer:

z3 = 216      take the cube root of both sides

z = 6 cm  = the side length

I need help please, WILL GIVE brainliest !!!

Answers

Answer:

Statements #1:  <L (congruent sign) <I

Statements #2: <H (congruent sign) <K

Statements #3: GH (congruent sign) MK

Reasons #2: given

Reasons #3: given

Reasons #4: angle angle side

Can someone help me with this wuestion please

Answers

i think that the answer is £279.30.

to find the area of the shape you multiply 4.6 by 2.4 which is 11.04.
then you need to work out how many boxes you need by dividing the area by 0.8 which gives you 14 boxes.
you then multiply that by the price per box which was £19.95.
This gave me an answer of £279.30.

Vocabulary Builder
Visualize It.......
Complete the bubble map using the review words.
Review Words
fraction
Videntity Property
of Multiplication
multiple
product
unit fraction
multiplication

Answers

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number.

What is an equation?

An equation is an expression that is used to show the relationship between two or more numbers and variables.

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number. The equation for identity property is:

a * 1 = a

Find out more on equation at: https://brainly.com/question/2972832

A rectangular field is 120 meters long and 85 meters wide.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.

Answers

Answer:

Length: 200

Width: 5

Step-by-step explanation:

The perimeter of 120 and 85 is 410

The perimeter of 200 and 5 is 410

The area of 200 and 5 is 200 times 5 which is 1000

The area of 120 and 85 is 120 times 85 is 10200

-I hope this helps

What is the area and perimeter? Show your work

Answers

Answer:

area = 6

perimeter = 12

Step-by-step explanation:

area:

1.8+3.2 = 5

5*2.4 = 12

12/2 = 6

perimeter:

3+4+1.8+3.2 = 12

Apply the distributive property to factor out the greatest common factor.
4+10=

Answers

4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)

A bag contains 20 marbles: 5 blue, 8 green and 7 orange.Find the
probability of drawing a blue marble.

Answers

Answer: 25%

Step-by-step explanation: the probability of drawing blue=5/20

divide 5 by 20= .25 then make .25 into a %:25% (you just move the decimal to the right twice)

I will mark the right answer brainliest

Answers

Answer:

∠TAN = 36°

Explanation:

The figure shows an isoceles triangle.

An isoceles triangle has two equal sides and equal angle measure.

The total interior angle of a triangle sum ups to 180°

∠TAN = ∠TNA

=========

∠TAN + ∠TNA + ∠ATN = 180°2∠TAN = 180° - 108°2∠TAN = 72°∠TAN = 36°

Answer:

B

Step-by-step explanation:

the sides of a regular pentagon are congruent , then

AT = NT and so Δ TAN is isosceles with base angles congruent , so

∠ TAN = [tex]\frac{180-108}{2}[/tex] = [tex]\frac{72}{2}[/tex] = 36° → B

find ml 2x+5 5x-4 Brainliest HURRY RN

Answers

Answer:

11

Step-by-step explanation:

5x + -4 = 2x + 5

-2x  +4   -2x  +4

3x = 9

x = 3

5(x) - 4 = ML

5(3) - 4 = ML

15 - 4 = ML

11 = ML

The equation to model Exponential Growth is: y=a(1+r)t y= total amount a= starting amount r= the growth rate as a decimal t= number of growth periods Question 4 A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist starts with a sample of 30 bacteria cells. Write an equation that can be used to determine the number of cells after x hours.

Answers

Answer:

[tex]y=30(1.5)^x[/tex]

where:

y = total amount of bacteria cellsx = number of hours

Step-by-step explanation:

Given exponential growth equation:

[tex]y=a(1+r)^t[/tex]

where:

y = total amounta = starting amount r = the growth rate as a decimal t = number of growth periods

If a sample of bacteria cells in a petri dish increases by 50% every hour, the growth rate is:

r = 50% = 0.5

If the starting amount of bacteria cells is 30 then:

a = 30

Therefore, the equation that can be used to determine the number of cells after x hours is:

[tex]y=30(1.5)^x[/tex]

where:

y = total amount of bacteria cellsx = number of hours

2. Triangle ABC is rotated around the origin. If vertex A transforms from A(-8,-10) to A (8, 10), which rotation was performed on the triangle?


Answers

Answer:

A. R180 degree rotation

Step-by-step explanation:

if you think about a graph, it has four quadrants, so imagine each of the quadtrants, being an add on of 90 degrees from the one you started on, so if you started in the double negative quatrant in the bottom left, it would take two quadrants to go in a circle to get to the full positive quadrant, making this, a 180 degree rotation

Weir and Max put $75 in quarters and dimes in the box. There were 400 more dimes than quarters. How many coins of each type were there

Answers

Answer:

100 quarters = 2500 cents = $25

500 dimes = 5000 cents = $50

total = $75

Step-by-step explanation:

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