Mathematics College

Find the tenth term of the geometric sequence with a1 = 3, and r = 2.
1377
1526
1659
1536
1500

Find The Tenth Term Of The Geometric Sequence With A1 = 3, And R = 2.13771526165915361500

Answers

Answer 1

General term of GP: a

1

r

n−1

10

th

term of GP =a

1

r

9

=45(0.2)

9

=23040×10

−9

=2.304×10

−5

Answer 2

Answer:

1536

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

Here a₁ = 3 and r = 2 , then

a₁₀ = 3 × [tex]2^{9}[/tex] = 3 × 512 = 1536

Related Questions

Annika saving money for a trip. She's able to save $75 a week. Her friend from Iceland Eva is also saving money. Eva is able to save 9000 Kronas (Icelandic money) each week. If $4 is equal to 509 Kronas, who is saving at a greater rate?
please show your work/steps​

Answers

Answer:

Annika is saving more money than Eva

Step-by-step explanation:

first I divide 9000 by 509 and got 17.68 then I multiplied that by 4 and got 70.72 so that is what eva makes a week in us dollars

Coach Jump is standing on a platform watching the football team practice. If the platform is 12 feet high and the quarterback is standing 23 feet from the base of the platform, find the angle of depression from Coach Jump to the quarterback. Round to the nearest degree.

Answers

Answer:

62 degrees.

Step-by-step explanation:

What you will have here is a right triangle. For the vertical put 12 ft and for the horizontal put 23 ft. You are trying to find the angle between the verticle and hypotenuse. This is what tangent is used for since you know the opposite and you know the adjacent lengths.

But since you are trying to find the angle you need to do an inverse tangent (also called arctangent)

ArctanФ = Adj/opposite

ArctanФ = 12/23 = 27.47 degrees. Rounded to the nearest degree is 27 degrees, if it wants rounded up its 28 degrees.

The angle of depression from Coach Jump to the quarterback is 27.6°.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

In this diagram,

C represents Coach Jump,

B represents the base of the platform,

θ represents the angle of depression from Coach Jump to the quarterback.

Now,

We want to find θ.

We can use the tangent function,

So,

tan Ф = 12/23

Ф = [tex]tan^{-1}[/tex] 12/23

Ф = 27.55°.

Thus,

The angle of depression from Coach Jump to the quarterback is 27.6°.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

I need help *********

Answers

Answer:

a

Step-by-step explanation:

bc x 2 is 10× 10

so x is 10

I hope this helped

x=10

Take the root of both sides and slove




















What is three and 61×4 and five

Answers

Answer: 252

Step-by-step explanation:

The answer of 3.61*4.5=16.245

Dan spent a total of $25 at the grocery store. Of this amount, he spent 14 on fruit. What percentage of the total did he spend on fruit?

Answers

Answer:

56%

Step-by-step explanation:

This is because the question you need to ask yourself is: 14 is what percent of 25? and the way you solve that is making it 14/25 and then all percents are out of 100 so you need to change the fraction to over 100 so just multiply by 4 (because 25 x 4 is 100) and you get 56/100, which means 56%.

1 2/9 + 6 5/12 - 4 7/18

Answers

Answer:

Exact Form:

13 /4

Decimal Form:

3.25

Mixed Number Form:

3  1 /4

Select two expressions that are equivalent to v.

Answers

There is not image we cannot see the picture

Find Sin(r)

Answers to pick from

1.7/25
2.25/24
3.7/24
4.24/25

Answers

it would be 7/25. sin= opposite/hypotenuse

what factors you think determines more earthquakes will occur in an area

Answers

Answer:

Ground shaking is the primary cause of earthquake damage to man-made structures. Many factors influence the strength of earthquake shaking at a site including the earthquake's magnitude, the site's proximity to the fault, the local geology, and the soil type.

The places on the planet where one plate meets another are the most prone to earthquakes. The specific surfaces where parcels of earth slip past each other are called faults. As plates move, pressure builds up across their boundaries, while friction holds them in place

Over 80 per cent of large earthquakes occur around the edges of the Pacific Ocean, an area known as the 'Ring of Fire'; this where the Pacific plate is being subducted beneath the surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.

There are 80 balloons used
to make 20 identical gift
baskets. What is the unit
rate in balloons per gift
baskets?

Answers

4 ballons/gift basket

The answer your looking for is 4.

Step-by-step explanation:

This is because ⬇

     80

➗ 20

       4

You can check this by doing 20 * 4 if needed.

Therefore 4 is your answer.

( Sorry this is late )

Solve for x. What is the value of

Pls help me

Answers

Answer

x = 21

HOS = 68

Explanation

The arrows beside x point to 12 and 6, which is a straight angle. Straight angles always add up to 180 degrees.

So that means 3x+5 plus 5x+7 must equal 180 degrees.

3x+5+5x+7 = 180

Combine like terms.

8x+12 = 180

Subtract 12 from both sides.

8x = 168

x = 21

But BE CAREFUL.

The problem is asking for the angle HOS.

To do this, just substitute what you got for x into the expression.

3(21)+5 = 68

The value of HOS is 68 degrees.

Raquel is reading a book that has 48 pages
On Monday she read 1/8 of the book
On Tuesday she read 3/8 of the book
How many pages does she have left to read in order to finish

Answers

Answer:

24

Step-by-step explanation:

1/8+ 3/8= 1/2

1/2 od 48 is 24.

A fern grows 7/9 of a foot per year. How much will it grow in 5 years

Answers

Answer:

46.6 inches in 5 years

Step-by-step explanation:

Answer: 46.6 inches in five years

Step-by-step explanation:

SO you wanna multiply 7.9 by 5 to get your grand total

List three decimal values between 2.5 and 2.6

Answers

Answer:

2.55     2.56    2.57

Step-by-step explanation:

Answer:

2.51, 2.52, 2.59

Step-by-step explanation:

Ay yo whats good bro

Today, 8 friends went out for lunch. Their total bill was $68.35, including tax and gratuity. One of them ordered only soda and needed to pay only $1.78.
The other 7 friends ordered the same daily special. How much did each of the other friends need to pay?
sil

Answers

68.35 - 1.78 = 66.57

66.57/7 = $9.51

A bag contains 3 red cubes, 4 yellow cubes, and 3 green cubes. You choose a cube without looking, note its color, and put the cube back in the bag. Suppose you do this a total of 80 times. About how many times would you expect to choose a red or yellow cube?

Answers

Answer:

is it multiple choice that would help

Step-by-step explanation:

Answer:

56 times

Step-by-step explanation:

Total cubes:

3 + 4 + 3 = 10

Number of yellow or red:

3 + 4 = 7

Probability of yellow or red:

7/10

Same probability 80 times:

80*7/10 = 56

Expected number is 56

Why is the product of 9s diagonal?

Answers

Answer:

. With each 9s fact you add another 9, which means you go straight down a row and back one space. This creates a diagonal pattern in the grid.

Step-by-step explanation:

The number 99 is divisible by 9 . The number 999 is divisible by 9 , and so on. Any number that is a string of nines is divisible by 9 as it is 9 multiplied by a string of ones. This adds one to the sum of its digits, but you wind up with a number one more than a multiple of 9.

have a nice day and sorry f it is wrong >< T_T

HELP I have hard homework

Answers

9514 1404 393

Answer:

  b.  55°

Step-by-step explanation:

Complementary angles have a sum of 90°.

  ∠ABC +∠CBD = 90° . . . . . . the given relation

  ∠ABC + 35° = 90° . . . . . . . . . substitute the given value

  ∠ABC = 55° . . . . . . . . . . . . . . subtract 35° from both sides

  ∠ABC = ∠EBF = 55° . . . . . . vertical angles are congruent

In Michelle's homeroom, 9/15 of the students ride the bus to school, 4/12 get a car ride,
and 2/30 walk to school. Is the following statement true or false and show your work to
prove how you know. In simplest form, 3/5 of the students ride the bus to school.





Please help me I give 17 points:(

Answers

Answer:

74

Step-by-step explanation:

Paige has 9/8 of a yard of blue thread. She only needs 3/4 of a yard of blue thread to embroider a shirt. How much thread will be left over?
A. 3/8 of a yard
B. 3/16 of a yard
C. 28/35 of a yard
D. 3/4 of a yard

Answers

A. 3/8 of a yard. It is correct

If m∠A = m∠B and m∠A + m∠C = m∠D, then
m∠B + m∠C = m∠D.

Which property is shown?

reflexive property
substitution property
symmetric property
transitive property

Answers

Answer:

B

Step-by-step explanation:

The answer is b. substitution property

substitution property

PLEASEEEEEEE HELPPPPPPPPP, I WILL GIVE BRAINLIEST :))

The table below represents the displacement of a horse from its barn as a function of time:

Time Displacement
0 8
1 58
2 108
3 158
4 208

What would be the domain of the function if the horse continued to walk at this rate until it traveled 508 feet from the barn?

Answers

11 is the answer I got

Solve the equation 52 - 3.5y - 4y = 4y + 6.

Answers

Please leave a thanks <3

Answer:

5.04

Step-by-step explanation:

=> 52 -3.5y -4y = 4y -6

Take everything with y to left and numbers to right

=> -3.5y -4y -4y = -52 -6

=> -11.5y = -58

=> 11.5 y = 58

=> y = 58/11,5= 5.04

75% of 48 show all the work

Answers

Answer:

36

Step-by-step explanation:

75%=0.75

0.75*48=3/4*48=144/4=36

Answer:

75% of 48 is 36.

Step-by-step explanation:

So, what I did here was to first find out what 25% of 48 is, because 75% is 25% multiplied by 3.

50% of 48 = 24

Since 25% is half of 50% all we have to do is divide by 2.

24 ÷ 2 = 12.

Now, we multiply by 3.

12 * 3 = 36

So, the answer is 36.

Hope this helps! :)

HELP!!!

How many solutions can be found for the system of linear equations represented on the graph?

A) no solution

B)one solution

C)two solutions

D)infinitely many solutions

Answers

The answer is One solution because the two lines are crossing each other and has one point in common

Help me plssssss il give brainiest

Answers

Answer:

Part A: Venti

Part B: (Check the Step-by-step explanation)

Step-by-step explanation:

The unit rate for these drinks is ounce per $.

Tall: 12 oz/$3.55 ≈ 3.38 oz/$

Grande: 16 oz/$4.25 ≈ 3.76 oz/$

Venti: 20 oz/$4.55 ≈ $4.40/oz

Out of all of these, the unit rate for the Venti is the greatest.

1. Javier scored 78% on the test. Write this
percent as a fraction in simplest form and
as a decimal.

Answers

78%
As a fraction: 39/50

As a decimal: .78

Answer:39/50

Step-by-step explanation:

Between 10 P.M. and 7:45 A.M.​, the water level in a swimming pool decreased by 3/8 inches . Assuming that the water level decreased at a constant​ rate, how much did the water level drop each​ hour?

Answers

Answer:

0.03846154... inches/hour

Step-by-step explanation:

between 10 P.M. and 7:45 A.M. = 9.75 hours

(3/8) inches / 9.75 hours = 0.03846154... inches per hour

EDIT: in fraction form

Answer:

1/26 inches/hour

Step-by-step explanation:

between 10 P.M. and 7:45 A.M. = 9 and 3/4 hours, or 39/4 hours

(3/8) inches / (39/4) hours = 1/26 inches per hour

write z=1-3i in exponential form ​

Answers

Answer:

z=re ^iθ =2e ^i 3/π

​

Step-by-step explanation:

hope this helps

Evaluate (y - 9) + (3 + x), when y = 15 and x = 5​

Answers

Answer:

14

Step-by-step explanation:

It says 'Evaluate (y - 9) + (3 + x), when y = 15 and x = 5​'.

So we'd put 15 in y's place. It'll look like this (15 - 9).

Then we'd put 5 in x's place. It'll look like this (3 + 5).

You subtract (15 - 9) which equals 6. And you'd add (3 +5) which equals 8. You add 6 + 8 together since those are your answer for the parentheses. Your final should be 14. Hopefully this helped!

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