-162,54,-18.6,...
find the common ratio of the geometric sequence

Answers

Answer 1

Step-by-step explanation:

the formula to find common ratio is

r= second term/first term

-162,54,-18.6,...find The Common Ratio Of The Geometric Sequence
Answer 2

The common ratio of the given the geometric sequence is -0.3

What is a geometric sequence?

A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Given that, a geometric sequence, is -162,54,-18.6,... we need to find the common ratio,

In a standard geometric sequence, a₁, a₂, a₃, a₄, a₅..... the common ratio is given by :-

a₂ / a₁ = a₃ / a₂ .... = r

Here, r = -54/162 = -18.6/54 = -0.3

Hence, the common ratio of the given the geometric sequence is -0.3

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Related Questions

You rent an apartment that costs $1400 per month during the first year, but the rent
is set to go up $180 per year. What would be the monthly rent during the 5th year of
living in the apartment?

Answers

180/12= 15
1400+15= 1415.00
The rent would be $1415.00 a month the 5th year.

The rent in the 5th year is $2120.

What is Arithmetic?

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations. We can find the amount regularly increasing by using arithmetic.

As per the given data:

Cost of the apartment per month during the first year is given, also the increase in rent every year is given.

We have to find out the monthly rent during the 5th year of living in the apartment.

For finding out the monthly rent during the 5th year of living in the apartment:

Rent in first year + Increase in rent in each year × (5 - 1)

= 1400 + 180 × 4

= 1400 + 720

= $2120

The rent in the 5th year is $2120.

Hence, The rent in the 5th year is $2120.

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Sammy has a number cube (dice). Calculate the following: What are the
odds against rolling an odd number?

Answers

Answer:

3/6 or 1/2.........................

Answer:

The probability is

5

6

.

Explanation:

Probability is

d

e

s

i

r

e

d

a

l

l

Let's find the possible outcomes of rolling odd.

1,3,5 are all odd. We have 3 outcomes.

Now find the possible outcome of a power of 2.

2 is

2

1

, 4 is

2

2

. We have 2 DIFFERENT outcomes.

(If these outcomes overlapped, we would have to subtract to get unique outcomes. In this case, these outcomes are different)

Now, we find the total number of possible outcomes.

A dice has 6 different outcomes.

Now add up the desired outcomes,

3

+

2

=

5

and so the probability is

5

6

Please Help Me I don’t understand

Answers

Answer:

The answer is 35 and here is why!

Step-by-step explanation:

It is because, m = 10

So, therefore 3.5m = 3.5*m = 3.5 * 10

Therefore, answer is 35.

Hope this helps.

The angle of elevation from a boat to the top of a lighthouse is 50°.
If the boat is 150 feet from the base of the lighthouse, how tall is the lighthouse?
Round answer to the nearest foot.

Answers

9514 1404 393

Answer:

  179 ft

Step-by-step explanation:

The applicable trig relation is ...

  Tan = Opposite/Adjacent.

The height of the lighthouse is the opposite side of the right triangle. The adjacent side to the angle of elevation from the boat is the distance to the lighthouse base. Then ...

  tan(50°) = height/(150 ft)

  height = (150 ft)(tan(50°)) ≈ 178.76 ft

The height of the lighthouse is about 179 feet.

The circumference of a circle is 8.85cm.
Find the length of the diameter.
Give your answer rounded to 2 DP

Answers

Answer:

The formula for finding the Circumference of a circle is: C = πd where d represents the diameter of the circle. The formula may also be written: C = 2πr where r is the radius of the circle. Example 1: The diameter of a circle is 16 cm.

Step-by-step explanation:

jayfeather friend me

brainliest

2.82

Please helpppp will give brainliest

Answers

Answer: B it seems like

Answer:

A

Step-by-step explanation:

We can see that the y intercept is equal to 1

which means that we have the following equation

mx+1=y

We just need to solve for m at this point

We can use the ordered pair (-2,2) to help

We know that

-2m+1=2

Solve for m

-2m=1

m= -1/2

Put this together and we get

-1/2m+1=y which is A

which equation represents the line on the graph?

Answers

Answer:

Y=-1/3x+2

Reason:

the line is negative so it Goes down one right 3 and the line is on the positive 2 on the y axis.


Plz help I don’t understand.

Determine whether the sequence is arithmetic. If yes, identify the common difference and give the next three terms.

( -3, -12, -48, -192, ...)

Answers

Answer:

I do my love a ti love

Step-by-step explanation:

coroneta

Answer:

The sequence is a Gp

Each term can be gotten from multiplying the common difference (4)

Next three terms

(-192×4)= - 768

(-768×4)= - 3172

(-3172×4)= - 12688

Work out the fraction that is halfway between 1/2 and 1 1/4

Answers

Answer:

The fraction that is halfway between 1/2 and 1 1/4 is:  5/8

Step-by-step explanation:

Given the fractions

1/2 and 1 1/4

In order to determine the fraction that is halfway between 1/2 and 1 1/4 first, we need to add the fractions and then divide the result by 2.

1)

Add the numbers

[tex]\frac{1}{2}\:+\:1\frac{1}{4}[/tex]

as  1 1/4 = 3/4, so

[tex]\frac{1}{2}\:+\:1\frac{1}{4}=\frac{1}{2}+\frac{3}{4}[/tex]  

Apply fraction rule:  [tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]

             [tex]=\frac{2+3}{4}[/tex]

              [tex]=\frac{5}{4}[/tex]

2)

Divide by 2

[tex]\frac{5}{4}\div \:2[/tex]

Convert element to fraction:  [tex]2=\frac{2}{1}[/tex]

[tex]\frac{5}{4}\div 2=\frac{5}{4}\div \:\frac{2}{1}[/tex]

Apply fraction rule:  [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

         [tex]=\frac{5}{4}\times \frac{1}{2}[/tex]

Multiply fractions:  [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

         [tex]=\frac{5\times \:1}{4\times \:2}[/tex]

         [tex]=\frac{5}{8}[/tex]

Conclusion:

Therefore, the fraction that is halfway between 1/2 and 1 1/4 is:  5/8

3. Find the value of a and b when
5+√6/5-√6 = a+b√6​

Answers

The answer for A is,

[tex]a = 5 + \frac{ \sqrt{6} }{ \sqrt{5} } - \sqrt{6} - \sqrt{6b} [/tex]

And the answer for B is,

[tex]b = - 1 + \frac{5 + \frac{ \sqrt{6} }{ \sqrt{5} } - a }{ \sqrt{6} } [/tex]

hope it helps.

sorry of its wrong.

Hellllppp meee please due in 10 mins

Answers

3/2 is the slope as your answer

Answer:

-3/2

Step-by-step explanation:

PLEASE HELP ME!!! WILL GIVE BRAINLIEST!! TELL ME IF IM CORRECT!!

Answers

Answer

x=0,5

Step-by-step explanation:


Jordan's dog weights p pounds. Emmett's dog weighs 50% more than Jordan's dog.
Which expressions represent the weight, in pounds, of Emmett's dog?

Answers

the expression fir the weight  of Emmett's dog is 1.25p

Step-by-step explanation:

The weight of Jordan's dog is p pounds.

And it has been given that Emmett's dog weighs 25% more than Jordan's dog.

Hence, 25% of weight of Jordan's dog is

25% of p

= 0.25p

Now, since, Emmett's dog weighs 25% more than Jordan's dog.

Hence, the weight  of Emmett's dog is given by

Weight of  Jordan's dog + 25% of weight of Jordan's dog

= p + 0.25p

=1.25 p

Therefore, the expression fir the weight  of Emmett's dog is 1.25p

Lauren invests money in an account paying simple interest. She invests $50 and no money is added or removed from the investment. After one year, she has $50.50. What is the simple percent interest per year?

Answers

Based on the amount invested and the amount it grew to, the simple interest rate is 1%.

Lauren invested $50 and got $50.50 after a year.

What is the Simple Interest rate?

This rate can be found by the formula:

= (Difference in investment in year 1) / Amount invested x 100%

Solving gives:

= (50.50 - 50) / 50 x 100%

= 1%

In conclusion, the rate is 1%.

Find out more about simple interest at https://brainly.com/question/2294792.

5
Which expressions are equivalent? Select all that apply.
A 3(x + 2) + 4x and 7x + 6
<
B 2(x + 3) + 2x and 4x + 3
C -2 + 4(x + 3) and 4x + 10
D 3x + 5(x-1) and 8x-5
E
5x - 2(x + 4) and 3x + 8
F
4 - 5(x + 2) and 5x-6

Answers

Answer:

A

Step-by-step explanation:

3(x+2)+4x=3x+6+4x=7x+6

The ratio of the number of girls in the sixth grade to the number of boys is 7:3. There are a total of 450 girls and boys in the sixth grade. How many boys are in the sixth grade?​

Answers

315 girls and 135 boys

I need help answering b

Answers

The diagram should help

find the 19th term of the arithmetic sequence d=5 a1=2

Answers

Answer:

92

Step-by-step explanation:

nth term = a₁ + (n - 1)d

19th term = 2 + (19 - 1) * 5

               = 2 + 18*5

               = 2 + 90

               = 92

solve for 2/3(9 - 6) + 40
and 7/8 - (-1/10) + (-3/5)

Answers

Answer:

first one is 42

second one is 3/8

Step-by-step explanation:

According to the Bureau of Labor Statistics, preschool teachers earn _______________ per year with an associate's degree, and the job growth is projected at ________ per year.

a. $18,575, 10 percent
b. $28,990, 3 percent
c.m$28,990, 10 percent
d. $24,990, 3 percent

Answers

You answer will be d
The correct answer is d. Your welcome luv <3

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas. What is the constant of proportionality (unit rate)?

Answers

Given:

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas.

To find:

The constant of proportionality

Solution:

We have,

[tex]P=0.25n[/tex]       ...(i)

where P is the price and n is the number of bananas.

Price P is directly proportional to the number of bananas. So,

[tex]P\propto n[/tex]

[tex]P=kn[/tex]            ...(ii)

Where, k is the constant of proportionality.

On comparing (i) and (ii), we get

[tex]k=0.25[/tex]

Therefore, the constant of proportionality is 0.25.


Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply
3 cm, 4 cm, 5 cm
4 cm, 10 cm, 14 cm
D5 cm, 11 cm, 15 cm
O 6 cm, 6 cm, 13 cm
7 cm, 4 cm, 12 cm
8 cm, 10 cm, 17 cm
I WILL GIVE BRAINLIST

Answers

I feel like it would be 3cm,4cm,5cm and 4cm, 10cm,14 cm

Michelle compares 5.8 x 106and 2.32 x 107. What steps could she use to compare the two numbers?

Answers

Answer:

5.8 × 10^(6) is greater.

Step-by-step explanation:

The 2 numbers she wants to compare are;

5.8 × 10^(6) and 2.32 x 10^(7)

Now,for her to compare easily both numbers will need to have the same powers of 10.

To this effect, let's convert the power of ten of the second number to the power of 6.

We will divide by 10 to get it.

Thus; 2.32 x 10^(7) ÷ 10 = 0.232 × 10^(6)

Comparing 0.232 × 10^(6) to 5.8 × 10^(6), we can see that they have same power of 10 but the greater number that precedes the power of 10 is 5.8.

Thus, 5.8 × 10^(6) is greater.

Frank, Grey, Hala, and Inez will ride in the same car on the field trip. Three of the children will sit in the back seat of the car. What are the 4 possible combinations of three children? Use the abbreviations F, G, H, and I in your list. (Hint: The order of the children does not matter.)

Answers

Answer:

(FGH ; FGI ; GHI ; HIF)

Step-by-step explanation:

Frank, = F

Grey = G

Hala = H

Inez = I

3 children sitting in the back seat :

Using combination formula :

4C3

nCr = n! /(n-r)! r!

4C3 = 4! / 1! 3!

4C3 = 4 / 1 = 4

The 4 Possible combinations are :

(FGH ; FGI ; GHI ; HIF)

Margo is practicing her free throws for basketball
tryouts. To make the team she has to make at least
80% of her free throws. How many free throws does
she have to make if she attempts 20 shots?

Answers

Answer:

16

Step-by-step explanation:

Well if you think about it, if she has a total of 10 attempts she has to make 8 of them to make it on the team. Now the total attempts is double so we double the number of throws she needs to make in order to make the team so to do this we would do 8*2 which is 16. She needs to make 16 throws to make it on the team.


Draw the number line to represent.
Whole numbers which can divisible by 2 and 4 between 28 and 48.​

Answers

Answer:

Mas não reconhecida como a face da sua vida

if i buy 6 pencils for $5.64 how much do they cost per pencil

Answers

Answer:The answer is 0.94 cent each

Step-by-step explanation:

if you divide 5.64 into 6 it will give you the conclusion 0.94 for eache pencil.

The answer is “0.94” because $5.64 divided by 6 = 0.94

can you help me please ​

Answers

23 degrees. 124+33=157. 180-157=23

3/5 x 11 .................

Answers

Answer:

=6 3/5 or 33/5

Step-by-step explanation:

3/5 * 11

33/5

= 6 3/5

Step-by-step explanation:

[tex]{ \large{ \red{ ➠ \: \: \bf{ \frac{3}{5} \times 11}}}} \\ [/tex]

[tex]{ \large{ \blue{ ➠ \: \: \bf \frac{33}{5} }}}[/tex]

[tex]{ \large{ \green{ \therefore{ \boxed{ \bf6 \frac{3}{5} }} \: \: Ans}}}[/tex]

SOLVE
r(s 2) (t) when r = 2, s = 3, and t = 5


pls help

Answers

Answer:

320 or 40 sorry if I´m wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(3*2)(5)

2*3*2=24

24*5=120