Find the comthon ratio of the geometric sequence 10,60, 360,...

Answers

Answer 1

Answer:

10

Step-by-step explanation:

Answer 2

The common ratio of the geometric sequence 10,60, 360,... is 6.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, A geometric sequence 10,60, 360,...

We know the common ratio r in a geometric sequence is

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Therefore,

The common ratio in this geometric sequence  10,60, 360,... is,

= 60/10 = 360/60 = 6.

So, The common ratio is 6.

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Related Questions

5,5,3 Is this a triangle? Explain.
8,8,8,Is this a triangle? Explain.
7,8,15 Is this a triangle? Explain.
5,6,10 Is this a triangle? Explain.


No clown answers or you'll get reported please help me I have until 3:00 am desperate please solve

Answers

Answer:

None of these points form a right triangle.

Step-by-step explanation:

IF YOU'RE TRYING TO FIND IF THE POINTS FORM A RIGHT TRIANGLE, THIS SHOULD WORK.

5,5,3 Explantation: To first start things off, we know our hypotenuse is the longest side of the right triangle. Using this information, we know that 5*2( 5 squared) is 25 and that 3 squared is 9. Now we add these two points and we get 34. (Don't forget to square the other side.) Now we have 34=25 which is not true sooo we know the points given do not form a RIGHT triangle.

The same goes with the other points. Once you solve them, neither of them form a right triangle. (Don't forget that we use a*2 + b*2=c*2) (The c should be the biggest point given!)

Hope this helps, if you have any questions please feel free to ask! :)

To reduce laboratory​ costs, water samples from public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past​ results, there is a probability of finding bacteria in a public swimming area. Find the probability that a combined sample from public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely​ necessary?

Answers

Complete Question

The  complete question is shown on the first uploaded image

Answer:

The  probability is  [tex]P(X \ge 1 ) = 0.003996[/tex]

Given that the probability is less than 0.05 , it means that it is  low enough so that further testing of the individual samples is rarely​ necessary

Step-by-step explanation:

From the question we are told that

     The probability of finding bacteria in a public swimming area  is  p =  0.002

 Generally the probability of not finding bacteria in a public swimming area  is mathematically represented as

      [tex]q = 1- p[/tex]

=>    [tex]q = 1- 0.002[/tex]

=>   [tex]q =0.998[/tex]

Generally the the probability that a combined sample from public swimming areas will reveal the presence of bacteria is equivalent to the probability that at least one of the sample will reveal the  presence of bacteria and this is mathematically represented as

       [tex]P(X \ge 1 ) = 1 - P(X')[/tex]

Here  [tex]P(X')[/tex] means that none of the 2  sample have bacteria which is mathematically represented as

       [tex]P(X') = q^2[/tex]

Here 2 signifies that we are considering two samples  

So  

        [tex]P(X') = 0.998^2[/tex]

        [tex]P(X') = 0.996004[/tex]

So

       [tex]P(X \ge 1 ) = 1 - 0.996004[/tex]

=>     [tex]P(X \ge 1 ) = 0.003996[/tex]

help please this is due in 20 minutes!

Answers

Step-by-step explanation:

sum of three no =94

first no =X

second no x-8

third no =4(x-8)

X+(x-8)+4x-32=94

6x-40=94

6x=94-40

6x=54

X=54/6

X=9

Answer: The first number is 9, the second number is 17, and the third number is 68.

Step-by-step explanation:

Using the given information we will represent the first number by f , the second number by s, and the third number by t.

The first number is 8 less than the second  and we will represent that by the equation,   f= s-8

The third number is 4 times the second and it will be represented by the expression,  t= 4s  

We know the sum of the numbers has to equal  94 so we will add them.

The first number is s-8, the second is s, and the third is 4s.

(s - 8) + (s) + 4(s) = 94   Solve for s to find the second number.

6s - 8 = 94

    +8     +8

6s = 102    

s = 17  

The second number is 17 and we will input 17 in for s to solve for the first and third numbers.

f= 17 - 8

f= 9  

The first number is 11.

t= 4(17)

t = 68    

The third number is 68.

Check: Now add them to see if they equal to 94.

9+ 17 + 68 = 94

   94 = 94      

Please help with the answer Y=Mx+b

Answers

Answer: y=x+5

Step-by-step explanation:

So the dots are going at a slope of 1 up and 1 right each time, so your slope would be 1, or simply x if you times it. To line it up with the slope, you have to move up 5 on your y-axis, known as your b. Then from there, you go up 1 over 1 which will line up with all the dots.


y
=
m
x
+
b
is the slope intercept form of an equation describing a line.

Three families bought food at a baseball game. The Davis family spent $16.50 on 3 hot dogs, 2 drinks, and 1 pretzel. The Ruiz family spent $26 on 4 hot dogs, 4 drinks, and 2 pretzels. the Cho family spent $13.75 on 2 hot dogs, 1 drink, and 3 pretzels. What is the price of one pretzel?

Answers

Answer:

Price of one pretzel = $1.5

Step-by-step explanation:

Let the price of a hot dog = [tex]x[/tex]

Let the price of a drink = [tex]y[/tex]

Let the price of a pretzel = [tex]z[/tex]

As per the given question statement:

[tex]3x+2y+z=\$16.50..... (1)\\4x+4y+2z=\$26........ (2)\\2x+y+3z=\$13.75..... (3)[/tex]

To find:

The price of one pretzel, i.e. [tex]z=?[/tex]

Multiplying (3) with 2 and subtracting (1) from it:

[tex]x+5z=11[/tex] ..... (4)

Multiplying (3) with 4 and subtracting (2) from it:

[tex]4x+10z=29[/tex] ..... (5)

Multiplying (4) with 4 and subtracting (5) from it:

[tex]10z=15\\\Rightarrow z =\bold{1.5}[/tex]

The price of one pretzel is $1.50.

Calculation of the price:

Let the price of a hot dog = x

Let the price of a drink = y

Let the price of a pretzel = z

So,

The equations are

3x + 2y + z = $16.50 .....(1)

4x + 4y + 2z = $26..........(2)

2x + y + 3z = $13.75........(3)

Now

Here we Multiplying (3) with 2 and subtracting (1) from it:

So, it gives x + 5z = 11 ......(4)

Now

Multiplying (3) with 4 and subtracting (2) from it:

So, 4x + 10z = 29...(5)

Now

Multiplying (4) with 4 and subtracting (5) from it:

So, 10z = 15

x = 1.5

Therefore, The price of one pretzel is $1.50.

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Expand 2(n+7).
2(n+7) = ?​

Answers

Answer:

2n+14

Step-by-step explanation:

Find the perimeter and area of a rectangle of cardboard measuring 15.9 cm by 11.7cm

Answers

the area is 186.03. lw = 15.9(11.7) = 186.03

1/2x plus 12 = 8x Please help me!

Answers

Answer:

8/5=x

Step-by-step explanation:

1/2x+12=8x

Subtract 1/2x from both sides

12=15/2x

Multiply 2/15 on both sides

8/5=x

Which value of n makes this equation true?
3n + 3
5
5n– 1
9
OA.
n=-16
OB.
n=-2
O C.
n= 2
OD.
n = 16

Answers

Answer:

the answer is A. -16

Step-by-step explanation:

3(-16)+3= -45

-45/5=

-9

5(-16)-1=-81

-81/9=

-9

-9=-9

Multiply both sides of the original equation by x, and find the solution set of the new equation.
X+1=2

Answers

Answer: (0, 1) Usually, we put the solutions in parenthesis.

Step-by-step explanation: x(x+1) = x(2) which = x²+ x = 2x = x² + x - 2x = 0

x² - x = 0. Now we divide by x which = x(x - 1) = 0 and the new solution set is x = 0 and x -1 = 0 which equals x = 1

Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have

Answers

Number of oranges is (2a + 2)

Half the number of oranges is 1/2(2a + 2)

Half the number of apples is 1/2a

The difference between half the number of oranges and half the number of apples equals 4 looks like this:

1/2(2a + 2) - 1/2a = 4

Now solve.

1/2(2a + 2) - 1/2a = 4 (multiply 1/2 by what's inside the parenthesis)

1a + 1 - 1/2a = 4

1a + 1 -1 - 1/2a = 4 - 1

1a - 1/2a = 3

1/2a = 3

1/2a ÷ 1/2 = 3 ÷ 1/2

a = 6

He has 6 apples.

Substitute 6 into the equation for the number of oranges.

2a + 2

2(6) + 2 = 14

He has 14 oranges.

Check your work.

The difference between half the number of oranges (7) and half the number of apples (3) does indeed equal 4.

Therefore, the equation has one solution.

Answer:

it is one solution

Step-by-step explanation:

Why u yelling I don’t know mannn

Answers

tell em to stop yelling

Answer:

Stop yellin

Step-by-step explanation:

Subtract.
3.5 – (-6.5)


how can i show my work ?

Answers

The answer above is correct my dude

what is the opposite of 1/2

Answers

Answer:

The opposite of 1/2 is -2/1, which can also be written as -2.

HElP!! Plzz thanks you

Answers

Answer:

a) 20

b) ab

Step-by-step explanation:

[tex]a.\\\\\frac{9}{5}=\frac{36}{x}\\\\x\cdot 9=36\cdot 5\\\\x=\frac{36\cdot5}{9}\\\\x=4\cdot 5\\\\x=20[/tex]

[tex]b.\\\\\frac{a}{6b}=\frac{y}{6b^2}\\\\\frac{6b^2\cdot a}{6b}=y\\\\y=b\cdot a\\\\y=ab[/tex]

Find the set of the solutions for each of the following Absolute Value Inequalities. Check your answers.

**EXPLANATION NEEDED! THANK YOU!**

Answers

Answer:

There are NO solutions

Step-by-step explanation:

On the left hand side, we have an absolute value;

which means that the left hand side will always be greater than or equal to 0

On the right hand side, we have a negative value;

Since the LHS can NEVER be negative, it will never be less than a negative number

Hence, No value of y can make this equation true

Question 2 (1 point)
What is 0.000003012 written in scientific notation?

Answers

Answer:

3.012 × 10^ − 6

Step-by-step explanation:

hope this helps

I’m confused can someone help?!

Answers

Answer:

C: up two over 1

I WILL GIVE BRAINLIEST TO WHOEVER HELPS ME!!

Answers

Answer:

it changes by -4 pounds each month

Step-by-step explanation:

20 pounds in 5 months

20/5 is 4 pounds per month

the elephant loses 4 pounds a month

Use the formula p=le^kt. A bacterial culture has an initial population of 500. If its population grows to 7000 in 2 hours, what will it be at the end of 4 hours

Answers

Answer:

98,000 bacteria.

Step-by-step explanation:

We are given the formula:

[tex]P=le^{kt}[/tex]

Where l is the initial population, k is the rate of growth, and t is the time ( in hours).

We know that it has an initial population of 500. So, l is 500.

We also know that the population grows to 7000 after 2 hours.

And we want to find the population after 4 hours.

First, since we know that the population grows to 7000 after 2 hours, let's substitute 2 for t and 7000 for P. Let's also substitute 500 for l. This yields:

[tex]7000=500e^{2k}[/tex]

Divide both sides by 500:

[tex]e^{2k}=14[/tex]

We can solve for the rate k here, but this is not necessary. In fact, when can find our solution with just this.

Let's go back to our original equation. We want to find the population after 4 hours. So, substitute 4 for t:

[tex]P=500e^{4k}[/tex]

We want to find the total population, P. Notice that we can rewrite our exponent as:

[tex]P=500(e^{2k})^2[/tex]

This is the exact same thing we acquired earlier. So, we know that the expression within the parentheses is 14. Substitute:

[tex]P=500(14)^2[/tex]

Square and multiply:

[tex]P=500(196)=98000[/tex]

So, after 4 hours, there will be 98,000 bacteria.

And we're done!

Please help asap I'm tired and this is due soon

Answers

Answer:

56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

2/10=g/20 in proportions

Answers

Answer

Step-by-step explanation:

10g = 40

g = 4

Which property of addition is shown in the equation below?
a + bi + 0 + Oi = a + bi
A.commutative property
B.inverse property
C.identity property
D.associative property

Answers

Answer:

This is the identity property.  It means that any number added by zero would be the same number.  In the second expression the zeroes were taken away.

Step-by-step explanation:

like and 5 start luv u

You need a 15% alcohol solution. On hand, you have a 180 mL of a 45% alcohol mixture. How much pure
water will you need to add to obtain the desired solution?
You will need
mL of pure water
to obtain
mL of the desired 15% solution.
Submit Question

Answers

Let x be the amount of pure water that you use.

The solution you have contains 0.45 • 180 mL = 81 mL of alcohol.

However much water you use, it won't add any alcohol to the solution, so only its total volume changes. Its new volume would be (180 + x) mL. You want the new solution to have a concentration of 15% so that

(81 mL) / ((180 + x) mL) = 0.15

Solve for x :

81 / (180 + x) = 0.15

81 / 0.15 = 180 + x

540 = 180 + x

x = 360

Then the new solution will have a total volume of 180 mL + 360 mL = 540 mL.

So you need to use 360 mL of pure water to get 540 mL of 15% solution.

Help help help help help!!!!!

Answers

Answer:

6) 130

7) x = 35

8) y = 100

9) 50

10) 130

11) DEF = 29

12) FEG = 61

13) DEF = 91

14) FEG = 89

Step-by-step explanation:

6)

angle AEB is 50°

supplementary is when 2 angles add together to make 180°

50 + x = 180

x = 180 - 50

x = 130

7)

angles AEB and DEC are vertical angles

vertical angles are equal.

50 = x + 15

50 - 15 = x

35 = x

8)

AEB and AED are supplementary angles

supplementary angles add together to make 180

50 + (y + 30) = 180

y + 30 = 180 - 50

y + 30 = 130

y = 130 - 30

y = 100

9)

DEC is vertical to AEB

vertical angles are equal.

AEB = 50

DEC = 50

10)

AED = y + 30

as established earlier, y = 100

substitute Y for 100

AED = 100 + 30

AED = 130

11 & 12)

DEF and FEG are complimentary.

complimentary means they add together to make 90

(3x - 4 ) + (5x + 6 ) = 90

3x - 4 + 5x + 6 = 90

8x + 2 = 90

8x = 90 - 2

8x = 88

x = 88/8

x = 11

substitute x into the equations

DEF = 3x - 4

DEF = 33 - 4

DEF = 29

FEG = 5x + 6

FEG = 55 + 6

FEG = 61

13 & 14)

DEF and FEG are supplementary.

supplementary means they add together to make 180

(9x + 1) + (8x + 9) = 180

9x + 8x + 1 + 9 = 180

17x + 10 = 180

17x = 170

x = 10

substitute x into the equations

DEF =  9x + 1

DEF = 90 + 1

DEF = 91

FEG = 8x + 9

FEG = 80 + 9

FEG = 89

If I got something wrong please let me know!

Solutions to 39=4-7v

Answers

v = -5 because you subtract 4 from both sides then divide both sides by -7 and you get -5

Answer:

v=-5

Step-by-step explanation:

39=4 -7v

39-4= (4-4) -7v

35=-7v

35/-7= -7v/-7

-5=v


please help, and then u need factor the expression

Answers

Answer: Choice A

U = (x+3)

V = 7

===========================================

Explanation:

If we let U = (x+3), then the original expression turns into U^2 + 14U + 49

This factors to (U+7)^2 when using the perfect square factor rule which in general is (a+b)^2 = a^2+2ab+b^2

Comparing the last term 49 with b^2, we see that b^2 = 49 leads to b = 7

So that must mean V = 7 in order to have

(U+V)^2 = U^2+2UV+V^2 = U^2 + 14U + 49

be a true statement

simplify this expression; -15k-1+12+2k​

Answers

Answer: -13k+11

Step-by-step explanation:

Combine like terms

-15k+2k=-13k

-1+12=11

Juice A cost 0.10 cent more per ounce than juice B. 12 ounce juice A cost $5.64 total. How much per ounce juice B cost

Answers

Answer:

5.64/12= .47 but that box cost 10cents more than box B so you then you subtract .10 and get .37 per ounce for box B

The sales in thousands of dollars that Terrific Toys makes during one month can be approximated by the functions S(x)=2x³-2x²+4x, where x represents the number of days after the first day of the month. About how many days will it take the store to make $50,000?

Answers

Answer:

The days will it take the store to make $50,000 in a whole number are:

30 days.

Step-by-step explanation:

Remember that x represents the number of days, so, you must replace different values in the formula until you obtain a value of $50,000, in this form:

S(x)= 2x³-2x²+4xS(1)= 2*1³-2*1²+4*1S(1)= 4 ($4).

So, I'll show you that the value that you need is 30 in a whole number.

S(30)= 2*30³-2*30²+4*30S(30)= 52,320 ($52,320)

I know that the value exceeds the amount of $50,000, but if you use just a day before:

S(29)= 2*29³-2*29²+4*29S(29)= 47,212 ($47,212)

How you can see, if you use 29 days, the value doesn't reach $50,000, by this reason, you must use 30 days to reach it.

Other Questions
Characteristics used to describe matter are you called Eddie Fantin is paid every two weeks. For the first week of his pay period he worked 42 hours, 4 of which were overtime hours. In the second week he worked 40 regular hours and 7 overtime hours. His regular pay rate is $14.40 an hour with time-and-a-half for overtime. What are his regular, , overtime, and total wages for the two weeks? Experiments need to be repeated by the scientist and also replicated by other scientists.truefalse Eric is conducting research about the exploration of Antarctica, and he has gathered these resources: a diary written by someone who has traveled to Antarctica twice a brochure printed by a cruise ship advertising trips to Antarctica a government website listing regulations for exploring Antarctica an interview with a group interested in mining for gold in AntarcticaWhich resource is likely to be most credible and why?A diary written by someone who has traveled to Antarctica, because this person has actually visited Antarctica.A brochure printed by a cruise ship that travels to Antarctica, because it is illegal for a company to print inaccurate information.A government website listing regulations for exploring Antarctica, because governmental sources must provide accurate information.An interview with a group interested in mining for gold in Antarctica, because its members feel strongly about what they want to do. Select the correct answer. Which Triangles in the diagram are congruent? Why does the rider continue to go the same height on the ramp every time and would continue to do that forever? 2. Historians divide periods of time with similar characteristics into eras in order to -A) predict the futureB) analyze historical mapsC) record economic data about TexasD) organize information about the past Based on the image, decide which type of figurativelanguage each sentence uses.The sky went pitch black.The sky was unfriendly.The sky was a nightmare.The sky was as dark as night. The distance in meters, d, that Josefina walks over time in minutes, t, is given by this equation.d=100tHow many meters does Josefina walk per minute? Find the circumference of the circle.Use 3.14 for pie.C=2r13 cmGive your answer to the nearest hundredth.C = [?] cm f(x) = -6x + 4f (x) = 28 find the 2nd and 3rd term of the sequence -7, _, _, -22, -27 A local government operates on a calendar-year basis. Prepare journal entries to record the following transactions and events for calendar year 2018. 1. On February 1, 2018, borrowed $400,000 on tax anticipation notes (TANs). The TANs will be repaid with 1.0 percent interest on January 31, 2019. 2. To prepare for issuing financial statements for 2018, accrue interest on the TANs through December 31, 20183. Invested $100,000 in a certificate of deposit (CD) on April 1, 2018. The CD, which pays interest of 0.8 percent, will mature on September 30, 2018.4. The CD matured on September 30, 2018. Joseph and Wendy were catching tadpoles. At first Wendy caught nine times three more than Joseph caught. Joseph was upset and released half of Wendy s tadpoles, and then six times as many as Joseph caught swam away. After all of this, Wendy only had three tadpoles left. How many tadpoles did Joseph catch? Danessa is working with consecutive even numbers. If x is her first number, which expression represents her second numbe how is osmosis used to stop seizures Solve the equation1/2n+2(2n-1)=1/2n+4n If one order of fries and five burgers cost twice as much as three orders of fries and two burgers, how many times as much does a burger cost compared to one order of fries? to start the problem is 1f+5b=2 (3f+2b) what is the area and perimeter of this triangle F(x) =1/4(2-x)^2, what is the value of f(18)