What is the common ratio of the geometric sequence below? 18, -6, 2, -2/3

Answers

Answer 1

Answer:

Step-by-step explanation:

Common ratios are found by either multiplying the same number in to get to the next number in the sequence, or by dividing out the same number in to go the next number in the sequence. Multiply or divide, NOT add or subtract! Be careful! Obiviously, our numbers are going down, so we are dividing out a specific number as opposed to multiplying one in. To get from 18 to 6, we have to divide by 3; however, the 6 is negative, so we have to divide by -3. To determine if we are correct, divide -6 by -3 and see if that result is the next one in line. -6 divided by -3 is 2. So we are correct, and the common ratio is -3.


Related Questions

Can someone help me with this question ?

Answers

Answer:

The input is x2

Step-by-step explanation:

1*2=2

4*2=8 and the rest go on

Christine runs each lap in 7 minutes. She will run more than 35 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today.
Write your answer as an inequality solved for n.

Answers

Answer:

5 laps

Step-by-step explanation:

35\7

= 5

Therefore your ans is 5

someone please help or i’ll be failing geometry this year

Answers

Step-by-step explanation:

I don't know what constructions you were taught.

a "similar" triangle is a triangle with exactly the same angles as the other triangle, but the lengths of all sides are stretched or shortened by the same scaling factor f.

by saying 1:2 she means the second triangle should have sides with twice the lengths of the first triangle (f=2).

and the extra challenge - same basic thing. she allows you to pick one of the two triangles as reference. and then you need to draw a third triangle (again with the same angles) with the side lengths extended by the scaling factor f of 4/3.

I would draw the triangles right on top of each other with the same starting corner (let's call it A) for all 3.

we would get the triangles ABC, AMN and AXY.

the points B and C would be then halfway on AM and AN.

and M and N would then a bit before X and Y on AX and AY.

the beauty is, you only need to construct 2 sides of every new triangle down to the new endpoints. the third side is automatically scaled correctly, and you only need to connect these new endpoints.

let's assume you draw a triangle (just very simple) ABC with all side lengths being 3. so, AB=3, AC=3, BC=3.

now you draw AMN by extending AB and AC to a side length of 6 (f=2) creating M and N, and you connect M and N.

and then you can create the third triangle AXY by extending AM and AN by a factor of 4/3 to side lengths of 8 (4/3 × 6 = 8) creating new end points X and Y. and you connect X and Y.

and that is it. all 3 triangles are similar (the same angles), and all sides of a triangle have the same length ratio to the sides of the other triangle(s).

Please help I’ll make you the brainiest

Answers

I think it’s c probably I’m not sure I hope this helped you

PLS PLS HELP ASAP!!!

Answers

Answer:

2 1/4

Or as a fraction

9/4

1. Write down the number of terms in each expression.
a) 3 + 2ab-4ac+6bc
b) 6df - 7+ ab×2c

Answers

I’m pretty sure e answer is A

Question 30
What is the distance between points (-3,5,-7) and (2,-4, 6)?

Answers

Answer:

-5,4

Step-by-step explanation:

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

is the fraction 1/8? I can’t see that clearly...

Answer:

B. (2, 1/64)

Hope this helps!

Can someone please help me on this?
A toy remote control car is driven across a table. Based on the graph, how far from the start line will the car be after 5 seconds?

50 cm

100 cm

120 cm

160 cm

Answers

Answer:

100 cm

Step-by-step explanation:

This is a linear function with an equation of y = 20x.

Plug 5 in for x to get 100 as your answer.

Answer: 100 cm

Step-by-step explanation: Since the car can travel 20 cm per second and it traveled 80 cm in 4 sec, then it can travel 100 cm in 5 seconds

(Tip: If it asks to show your work, try drawing a ratio table and write the centimeters it travels per second .)

ANSWER BOTH!!!
A. An item is regularly priced at $65. Bill bought it at a discount of 20% off the regular price. How much did Bill pay?

B. The wholesale price for a pillow is $4.50. A certain department store marks up the wholesale price by 40%. Find the price of the pillow in the department store.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

A = $52.00B = $6.30

Step-by-step explanation:

A. How much Bill paid AFTER the discount.

Step 1: Convert the discounted percent to decimal

20% = 0.2

Step 2: Multiply the discount to the item regularly priced

0.2(65.00) = 13

So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:

Step 3: Subtract the result (the discount Bill received) from the regular price

$65.00 - $13.00= $52.00

Therefore, Bill paid $52.00

B.  The price of the pillow in the department store.

Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price

$4.50 × 40% = 1.8

Set up a fraction

[tex]\frac{4.50}{x}=\frac{100\%}{40\%}[/tex]

The reciprocal of both sides gives

[tex]\frac{x}{4.50}=\frac{40}{100}[/tex]

x = 1.8

Step 2: Add the result to the wholesale price for the pillow

4.50 + 1.8 = $6.3

Step 3: Round to the nearest cent

Add a zero behind the result = 6.30

Therefore, the price of the pillow in the department store is $6.30

3 Edward is scuba diving. He stops 14.3 m below the surface to look at a fish.
Then he swims down 5.8 m to look at a reef. He then swims up 3.2 m.
Which is the best approximation of Edward's current position relative to
the ocean surface?
CONS
Should
subtract
A 12 meters
B 11 meters
C-17 meters
D-23 meters
Dara chose B as the correct answer. How might she have gotten that answer?

Answers

Answer:

a. 12 meters

Step-by-step explanation:

po ang sagot ko po

#CARRY ON LEARNING

IMMMMMMMMMMMMMMMMM SSOOOOOOOOOOOOOOO CONFUSEEDDDDDDDDD please EXPLAINNN HOWWW

Answers

Answer:

x=16

Step-by-step explanation:

Both angles are verically opposite angles

so

4x+21=85

4x=85-21

4x=64

x=16

In triangle ABC; AB = 5BC = 8 8. and AC = 7 Name the largest angle of triangle ABC

Answers

BCA necau u must add the 3 together

This petite girl, short as can be is gonna jump and be free
-Rachie [My R]

Answers

for god sake pls are you serious?! i just can't believe! for a st...upi...d reason you got here before me?!? are you upset cuz you can't have what you wanted?!

Nine students can make a poster in 10 hours how many students join them so that they can all together make this poster in six hours

Answers

Answer:

there is not enough information

Answer:

If 9 students make the poster in 10 hours
Then it would take 1 student 90 hours to make 1 poster
Therefore you do 90 hours/6hours to get 15
So you'd need 15 students to make the poster in 6 hours
Which means 6 more students would need to join them

Explanation: hope this helps you

HELPPPP PLEASE !!!!!!!!!!!!!!

Answers

Answer:

113°

Step-by-step explanation:

triangles add up to 180°

180° - 34° - 33° = 113°

Answer:  113

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

Explanation:

For any triangle, the three interior angles must add to 180 degrees

34+33+x = 180

x+67 = 180

x = 180-67 ... subtract 67 from both sides

x = 113

This triangle is obtuse because the 113 degree angle is larger than 90 degrees. Also, the triangle is scalene because all three angles are different values (consequently, it means all three sides are different from one another).

evaluate the expression 5-(6+3i)+2i

Answers

Answer:

-1 - i

Step-by-step explanation:

First, start by distributing the negative sign(-1), and you get:

5 - 6 - 3i + 2i

Next, combine the like terms, 5 & -6, and -3i & 2i.

This gives us: -1 - i

If ABCDE is reflected across the line y=-1, then reflected again across they
axis, what are the new coordinates of point B?
E.
•B
o
*C
O A. (-4,-2)
O B. (-4,-4)
O C. (6,2)
OD. (-6,-2)

Answers

Answer:

B (-4,-4)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since it is currently at (4,2), reflecting it across y=-1 will bring the y-coordinate down to -4. After that, reflecting it across the y-axis will flip the sign in front of the x-coordinate, so 4 to -4. Therefore, your answer is (-4,-4).

help me pls!! i rlly need it!!

Answers

Answer:

3. below

<D = 75°

<E = 37°

<F = 68°

4. below

<G = 50°

<H = 80°

<I = 50°

5. below

<A = 55°

<B = 90°

<C = 35°

Step-by-step explanation:

In a triangle, all angles add up to 180°, so we can set up equation accordingly:

3. m<E + m<F + m<D = 180°

6x + 1 + 68 + 13x - 3 = 180

19x + 66 = 180

19x = 114

x = 6°

We can substitute the value of x back into the expressions for each angle:

m<E = 6x + 1 = 6(6) +1 = 36 + 1 = 37°

m<F = 68°

m<D = 13x - 3 = 13(6) - 3 = 75°

4. m<G + m<I + m<H = 180°

2x + 2x + 4x - 20 = 180

8x - 20 = 180

8x = 200

x = 25°

We can substitute the value of x back into the expressions for each angle:

<G = 2x = 50°

<H = 4x - 20 = 4(25) - 20 = 80°

<I = 2x = 50°

5. m<B + m<C + m<A = 180°

90 + 3x + 5 + 5x + 5 = 180

100 + 8x = 180

8x = 80

x = 10°

We can substitute the value of x back into the expressions for each angle:

<A = 5x + 5 = 5(10) + 5 = 55°

<B = 90°

<C = 3x + 5 = 3(10) + 5 = 35°

Well done girl a top of me im happy you got your answer

Help please...

x = 3y
4x + 5y = 34

solve for x and y


Help help

Answers

Answer: y=2 and x=6

Step-by-step explanation:

x=3y

4x+5y=34

From equation ( 1) x=3y thus substituting in eqn(2)

4(3y)+5y=34

12y+5y=34

17y=34

y=34÷17=2

Thus y=2

Putting y=2 in eqn(1)

x=3y

x=3(2)

x=6

Determine the volume of the space in the tank that still needs to be filled with water if the water is ⅓ ft. Deep

Answers

Answer:

11 1/9 ft^3

Step-by-step explanation:

find the complete question in the attached image

volume of the tank = length x width x height

2 x 5 x 1 2/3

2 x 5 x 5/3 = 50/3 = 16 2/3 ft^3

If the tank is 1/3 filled with water, the volume that needs to be filled with water is 1 - 1/3 = 2/3

volume that needs to be filled with water = 2/3 x volume of the tank

2/3 x 50/3 = 11 1/9 ft^3

What is the expanded form of this number? 630.052 A(6×100)+(3×10)+(5×110)+(2×1/100) B (6×100)+(3×1)+(5×110)+(2×1/100) C (6×100)+(3×1)+(5×1100)+(2×1/1,000) D (6×100)+(3×10)+(5×1/100)+(2×1/1,000)

Answers

Answer:

Its D.

Step-by-step explanation:

The expanded form of this number 630.052 is (6×100)+(3×10)+(5×1/100)+(2×1/1,000). Option D is correct.

What is the definition of arithmetic operation?

Arithmetic is a branch of mathematics that studies numbers and the many operations that may be applied to them. The four basic math operations are addition, subtraction, multiplication, and division.

The expanded form of this number 630.052 is solved by the BODMAS rule ;

630.052= (6×100)+(3×10)+(5×1/100)+(2×1/1,000)

630.052=6×100+3×10+5×0.01+2×0.001

630.052=600+30+0.05+0.002

630.052=630.052

The expanded form of this number 630.052 satisfy the option D.

Hence option D is correct.

To learn more about the arithmetic operation;

brainly.com/question/20595275

#SPJ2

Which of the following functions best describes this graph?​

Answers

Answer:

b

Step-by-step explanation:

sorry if it's not correct

Oscar rides his skateboard 5/8 mile in 1/4 hour. How fast, in miles does he ride his skateboard

Answers

Answer:

2.5 miles per hour

Step-by-step explanation:

[tex]\frac{1}{4}\times \frac{5}{8}[/tex]

Step 1: Apply the fraction rule: [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]\frac{1}{4}\times \frac{5}{8}=\frac{1\times \:5}{4\times \:8}[/tex]

Step 2: Set up the fraction

[tex]\frac{5\times \:4}{8}[/tex]

Cancel the numbers: [tex]\frac{4}{8}=\frac{1}{2}[/tex][tex]=\frac{5}{2}[/tex]Convert to decimal[tex]\frac{5}{2} = 2.5[/tex]

Therefore, Oscar's speed is 2.5 miles per hour.

Bern is flying a kite directly over his friend Frank. Bern lets out string which makes an angle of 28°
with the ground. If the kite is 175 feet above Frank, how far are Bern and Frank?
Help ASAP!!

Answers

orayt so 28 degree and 175 feet is about...the fox jumps into the lazy dog and say "c'mon barbie let's go party! ah ah ah yeah"....but i dont know the answer as well so thank you.

Answer:

Approximately [tex]329\; \rm ft[/tex], assuming that the ground between Bern and Frank is level.

Step-by-step explanation:

Refer to the diagram attached.

The kite is right above Frank. Therefore, the imaginary line segment (the dashed line segment in the diagram) would form a right angle with the ground under Frank. Bern, Frank, and the Kite would be the three vertices of a right triangle.

The question states that from the perspective of Bern, the angle of elevation of the kite is [tex]28^\circ[/tex]. In this right triangle, the side opposite to this angle would be the imaginary line segment between Frank and the kite over him. The question states that the length of this imaginary line segment is [tex]175\; \rm ft[/tex].

The question is asking for the length of the line segment between Bern and Frank. In the right triangle pictured in this diagram, that line segment would be the side adjacent to the [tex]28^\circ[/tex] angle.

The cotangent of [tex]28^\circ[/tex] would be the ratio between the length of these two sides:

[tex]\displaystyle \cot (28^\circ) = \frac{\text{adjacent}}{\text{opposite}}[/tex].

[tex]\begin{aligned}\text{adjacent} &= \text{opposite} \cdot \cot(28^\circ) \\ &= (175\; \rm ft) \cdot \cot(28^\circ) \approx 329\; \rm ft\end{aligned}[/tex].

someone answer this please!!!! A lot of points for answering.

Answers

Answer: 536.142 in^2

Step-by-step explanation:

trust the loli dragon jesus

What is the arc measure of \stackrel{\LARGE{\frown}}{AB}


AB





A, B, start superscript, \frown, end superscript on circle PPP in degrees?


^\circ





degrees


Answers

Answer:

72 degrees

Step-by-step explanation:

Find the diagram attached. We are to find the length of the arc

Measure of arcABC = rtheta

16π = 10 theta

theta  = 16*180/10

theta = 16 * 18

theta = 288degrees

central angle = 360 - 288 = arc AC

central angle = 72degrees

Hence the arc measure of AC is 72 degrees

Does anyone know how to solve this?

Answers

Answer:

$ 22.5

Step-by-step explanation:

B(x) = 30.50 - 0.20x

Notice that x defines the number of prints.

For prints = x = 40

B(40) = 30.50 - 0.20(40)

B(40) = 30.50 - 8

B(40) = 22.5

Remaining amount is $22.5

B(x) is defined as at starting you had $30.50 then you kept on spending with a period of 20 cents(= 0.20 dollar). So 30.50 kept on decreasing by 0.20. Each time you spend, you give 0.20.

That's why the function is 30.50 - 0.20x.

Where x is the nunber of times you spend(buying prints)

Amanda bought 6 pounds of apples she paid for the apples with a 20 dollar bill and got back 10.52 dollars back how much were the apples per pound pls help

Answers

1.58

20-10.52 gives you 9.48, this is how much was paid for the apples. Divide that by 6 to get 1.58, which is how much it costs per pound! :)

In the system of equations 4x + 2y = 10 and 12x - 3y = 3, what is the solution?
Hint: SOLVE BY ELIMINATION

Answers

Answer:

solution = (3, 11)

Step-by-step explanation:

4x + 2y = 10

*subtract 4x from both sides*

2y = -4x + 10

*divide by 2* --> y = -2x +5

12x - 3 y = 3

*add 3y to both sides*

12x = 3y + 3

*subtract 3 form both sides*

12x - 3 = 3y

*divide by 3* --> y = 4x - 3)

2x + 5 = 4x - 1

*subtract 2x form both sides*

5 = 2x -1

*add 1 to both sides*

6 = 2x

*divide by 2x* --> x = 3

y = 2(3) + 5   (plug in 3 for x to solve for y)

y = 6 + 5

y = 11

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