Find the common ratio of the geometric sequence 17,-51,153,...

Answers

Answer 1

Answer:

The answer is - 3

Step-by-step explanation:

To find the common ratio ( r) of a given sequence , divide the previous term by the next term.

That's

[tex]r = - \frac{51}{17} = - 3 \: \: \\ or \\ r = - \frac{153}{51} = - 3[/tex]

Since the common ratio is the same for any of the terms chosen , the common ratio is - 3

Hope this helps you


Related Questions

What’s the domain of (2x-9)/(3-x)

Answers

Answer:

The domain in interval notation would be (−∞,3)∪(3,∞) In set builder notation it would be {x|x≠3}

34 × (-38) + (-38) × 66 find using suitable properties​

Answers

Answer:

Step-by-step explanation:

-1292 + (-2508)

= - 3800

[tex]simplify:\sqrt6r^{6}[/tex]

Answers

I’m gonna go get on the east coast to get on my way home and then go back home to

The graph of h(x) = (x - 10| +6 is shown. On which
interval is this graph increasing?
O (-0,6)
O (-6, 10)
O (6,-)
O (10,0)

Answers

I believe the answer is A

From house to his job as a janitor, you can walk in a straight line. In the afternoon he has to stop twice on his way home. His first stop is at the bodega to get something to eat. The bodega is exactly halfway between his house and the school. The second stop will be at OWL Barbershop for his haircut. The OWL Barbershop location partitions the way from Wilfred’s house and job in the ratio 3:1. The coordinates of his house are H (-3, -4) and his job coordinates are J(5, 0). Please use B to represent the Bodega and O to represent OWL Barbershop.

Answers

Answer:

The coordinates of Bodega is B(1,-2)

The coordinates of OWL Barbershop is O(3,-1)

Step-by-step explanation:

Coordinates of House H = (-3,-4)

Coordinates of Job J= (5,0)

His first stop is at the bodega to get something to eat. The bodega is exactly halfway between his house and the school.

Let B to represent the Bodega

Now to find coordinates of Bodega we will use use mid point formula since  bodega is exactly halfway between his house and the school.

[tex]x=\frac{x_1+x_2}{2} , y = \frac{y_1+y_2}{2}\\(x_1,y_1)=(-3,-4)\\(x_2,y_2)=(5,0)\\x=\frac{-3+5}{2} , y = \frac{-4+0}{2}\\x=1, y = -2[/tex]

So, The coordinates of Bodega is B(1,-2)

Now we are given that The OWL Barbershop location partitions the way from Wilfred’s house and job in the ratio 3:1.

Le O to represent OWL Barbershop.

We will use section formula

[tex]x=\frac{mx_2+nx_1}{m+n} , y =\frac{my_2+ny_1}{m+n}\\(x_1,y_1)=(-3,-4)\\(x_2,y_2)=(5,0)\\m:n=3:1\\x=\frac{3(5)+1(-3)}{3+1} , y =\frac{3(0)+1(-4)}{3+1}\\x=3,y=-1[/tex]

So, The coordinates of OWL Barbershop is O(3,-1)

Estimate 65 to the nesrst tenth then locate 65 on a number line​

Answers

Estimate 65 to the nearest tenth is 70 I can’t identify where 70 is on a number line for you but it is on the right side of the line

So the answer is 70

And look on the right side of the number line

Answer:

70

Step-by-step explanation:

ok so first of all you have to see if the next number is 5 you can borrow and then draw on number line between 65 and 70 that there is your answer 70

Michelle has some dimes and quarters. If she has 22 coins worth a total of $2.80, how many of each type of coin does she have?

Answers

Answer:

she has 4 quarters and 18 dimes

Answer:

16 dimes and 8 quarters

Step-by-step explanation:

.25x8=2

.05x16=.8

$2+$.8=$2.80

Solve the absolute value equation 4 − |x| = 1

Answers

Answer :SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Step-by-step explanation:

Answer:

x can equal 5 or -5 since absolute value changes everything into a positive number.

Step-by-step explanation:

What is (-i)^6 ?
A. 1
B.-1
C. -i
D. i

Answers

Answer:

I think it's D I'm probably wrong

Answer:

B. -1

Step-by-step explanation:

if the school is havinng a pizza party they have 6,847 each kid will have 3 slices of the pizza how many slices of pizza the school need to order so each kid can have 3 slices help pls i got class at 8:30

Answers

6847 x 3 which = 20541

5. If mZWXZ = (5x + 3)", mZZXY = (8x - 4)", and
ZWXY is a right angle, find each measure.
W
Х
z
Y
mZWXZ =
mZZXY =

Answers

Answer:

m∠WXZ = 38°

m∠ZXY = 52°

Step-by-step explanation:

In the question

∠WXZ and ∠ZXY are two adjacent angles and formed together ∠WXYThat means the measure of ∠WXY equal the sum of measures of ∠WXZ and ∠ZXY

∵ ∠WXY is a right angle

→ That means its measure is 90°

m∠WXY = 90°

m∠WXZ + m∠ZXY = m∠WXY

∵ m∠WXZ = (5x + 3)°

∵ m∠ZXY = (8x - 4)°

∵ m∠WXY = 90°

→ Substitute their values in the equation above

(5x + 3) + (8x - 4) = 90

→ Add the like terms in the left side

∵ (5x + 8x) + (3 - 4) = 90

∴ 13x + (-1) = 90

∴ 13x - 1 = 90

→ Add 1 to both sides

∴ 13x - 1 + 1 = 90 + 1

∴ 13x = 91

→ Divide both sides by 13

∴ [tex]\frac{13x}{13}=\frac{91}{13}[/tex]

x = 7

→ To find the measure of each angle substitute x by 7 in their measures

∵ m∠WXZ = 5x + 3

∴ m∠WXZ = 5(7) + 3

∴ m∠WXZ = 35 + 3

m∠WXZ = 38°

∵ m∠ZXY = 8x - 4

∴ m∠ZXY = 8(7) - 4

∴ m∠ZXY = 56 - 4

m∠ZXY = 52°

Can someone please help, ty!!

Answers

Answer:

(-1,0)

Step-by-step explanation:

Answer:

(-1, 0)

Step-by-step explanation:

The x-axis is the horizontal line in bold. It's basically asking what points in the form (x,y) are touching said line.

So we use our eyes and determine that the line intercepts the x-axis at -1 because that vertical bold line is the y-axis and it determines that the left side of the graph is negative and the right side is positive.  

Since it is an x-intercpet, when the y-value is 0 the y-term in

(x,y) is 0

and the x-term would be the -1

What is the most simplified expression for 4 c squared d + 3 d c minus 2 (d c squared + c d) + 6 c squared d squared?
A. 2 c squared d + d c + 6 c squared d squared
B. 2 c squared d + 5 d c + 6 c squared d squared
C. 3 c squared d + 3 d c + 6 c squared d squared + c d
D. 3 c squared d + 2 d c + 6 c squared d squared minus 2 cd

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Can you help me fill the graph please?​

Answers

Answer:

8=6 2/5

50=40

100=80

Step-by-step explanation:

8x4/5=6 2/5

4x10=40 so 5x10=50 (I got this from the second row)

5x20=100 so 4x20=80 (also from second row)

The steps below show the work of a student used to calculate the number of yards in 804.5 meters.

(1 mile = 1,609 meters)
(1 mile = 1,760 yards)

Step 1: 1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles

Step 2: 2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards

Step 3: 3,520 yards
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)

How can the error in the student's work be corrected? NEEDS SUBMITTING TODAY PLZ HELP ASAP

Answers

Answer:

see below

Step-by-step explanation:

804.5 meters. to yards

Step 1:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles

 1,609 meter    x        1 mile         =   2 miles

                               804.5 meters                                        

Step 2:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards

2 miles   x  1,760 yards   =   3,520 yards

                        1 mile

no need of step 3.  the conversion  below should be on step 2.

to convert miles into yards.

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)  

Answer:

how do ppl do this lol...

Step-by-step explanation:

Consider the enlargement of the parallelogram. A smaller parallelogram with side lengths of one-third foot and x feet. A larger parallelogram with side lengths 8 feet and 6 feet. Set up a proportion to solve for the missing measure of the original parallelogram. Which side of the original parallelogram corresponds to the 6 ft side of the enlarged parallelogram? What is the second step in solving the proportion? What is the value of the missing measure?

Answers

Answer:

Enlargement rate is 24

Step-by-step explanation:

Divide 8 by one third to get the enlargement rate. I hope this helps:)

Answer:

Which side of the original parallelogram corresponds to the 6 ft side of the enlarged parallelogram? ITS IS  x ft

What is the second step in solving the proportion? IT IS  cross multiply

What is the value of the missing measure? IT IS  1/4

Step-by-step explanation:

i got this right

The length of a rectangle is 4 less than three times the width. The area of the rectangle is given by the formula A = l × w. Which of the following equations could be used to find the area?
Question 19 options:

A)

A = 4w2 – 3w

B)

A = w2 – 4w

C)

A = 3w2 – 4w

D)

A = 3w2 – w

Answers

Answer:

C) A = [tex]3w^{2} - 4w[/tex]

Step-by-step explanation:

First, read through what the question is asking.

Now, read it again, but slowly and take in everything it is saying (Don't read into it too slowly, or else you will over-complicate the problem and get frustrated - told from experience :) )

Alright, 4 less than 3 times the width. So, lets rearrange this and give width a variable (w).

So, the length is equal to:

l = 3w - 4

and the width is equal to:

w = w

The area of a rectangle is A = l * w

Let's plug in the values.

A = (3w - 4) * w

Now, simplify:

A = [tex]3w^{2} - 4w[/tex]

A = [tex]3w^{2} - 4w[/tex] is your final answer.

I hope this helps!

Compare the annual salary of a police/detective and an EMT (emergency medical technician). Based on the annual salaries, how much more will a police detective earn than an EMT over a thirty year period?

Answers

Answer:

its  B) $538,080.00

394434
3,757
Hi My name is Ella and I need help

Answers

Answer:

39,443

-

3,757=

36, 3 1 1 4

xanthe ran one quarter of a kilometer. She took a 5 minute rets, then ran another ten eighths of a kilometer. How many kilometers did she run in total.

Answers

Answer:

1 1/2 kilometers

Step-by-step explanation:

She ran 1/4 of a kilometer and then ran another 10/8 kilometer.

The 5 minute rest is to throw people off, so ignore it.

10/8 can simplify to 5/4 kilometers, so you can add that to the first quarter of a kilometer she already traveled.

5/4 plus 1/4 equals 6/4.

6/4 can be simplified to 3/2 which is equal to one and one half.

1   1/2

Hope this helps!

What is the largest three-digit number divisible by 24 and 54?

Answers

Answer:

The largest three-digit number divisible by 24 and 54 is:

864

Step-by-step explanation:

To identify the largest number what I did was dividing 999 (the largest whole three-digit number of all) in the first number given (24):

[tex]\frac{999}{24}=41.625[/tex]

With this number, you know that you must multiply 24 by a number like 41 or less until you find a number that can be divisible by 54 and obtain a whole number, so:

24*41= 984/54= 18.22 (how the number obtained is not a whole number, this is not the correct).24*40= 960/54= 17.77 (this is not).24*39= 936/54= 17.33 (this is not).24*38= 912/54= 16.88 (this is not).24*37=888/54= 16.44 (this is not).24*36= 864/54= 16 (This is the correct).

Now, you have identified that the number 864, you can prove it by dividing this in 24 and 54:

[tex]\frac{864}{24}=36[/tex][tex]\frac{864}{54}= 16[/tex]

A wildlife biologist examines frogs for a genetic trait that is linked to sensitivity to an industrial toxin in the environment. Suppose exposure to the toxin tends to increase the prevalence of the genetic trait in the population of frogs. Previous research has established that this trait is usually found in about 2/10 of all frogs in a `clean' environment. Suppose a location is suspected of contamination. A sample of 10 frogs are collected, then examined for the genetic trait. We are asked to interpret the data collected and determine whether there is evidence suggesting contamination. What is the fewest number of frogs in the sample with the trait (number of successes) for which we can conclude the area is contaminated?

Answers

Answer:

3

Step-by-step explanation:

Usually, when there is contamination the smallest amount can have huge ramifications in the data collected. In this scenario, if in a "clean" environment the trait is found in 2/10 frogs then anything above this number should be considered contaminated. This is because data above this ratio would be considered uncommon or rare and this unique occurrence can be most likely tied to the only new factor which would be the contamination. Therefore the minimum number of frogs with this trait in the sample would be 3.

-2 = 3у – 18 — 5y
Solve for y

Answers

-2=-2y-18

2y=-18+2

2y=-16

Y=-8

You’re starting a lemonade stand in front of your house. You’ve already obtained a permit from City Hall in order to do so. For your stand, your neighbor agrees to let you use his nice large table for $5 per day (this cost is known as fixed cost because it will not change whether you sell one cup or 100 cups of lemonade). Your parents give you full access to the fridge’s filtered water but require you to take care of the cost of the other ingredients and expenses that go into making your final product. After a day or two of starting your business, you determine that the cost of paper cups, sugar and fresh lemon juice is $0.32 per cup (this cost is known as variable cost because it changes according to the number of cups you sell).

Answers

Answer:

Ok. Interesting.

Step-by-step explanation:

I think you forgot the question.

Brainliest appreciated!

(3g2−g)+(3g2−8g+4) find the sum

Answers

Answer:  6g2−9g+4

Step-by-step explanation: 3g2+−g+3g2+−8g+4

=(3g2+3g2)+(−g+−8g)+(4)

=6g2+−9g+4

plz help me with this problem I'm pretty confused.

Answers

Answer:

m∠1 = 40°

Step-by-step explanation:

Measures of angle 1 and angle 2 are examples alternate exterior angles. Alternate exterior angles are basically a pair of angles that are outside the parallel lines and are on opposite sides of the transversal. In other words, alternate exterior angles are congruent to each other.

Since we are given that measure of angle 2 is 40°. Measure of angle 1 has to be 40° because both angle 1 and angle 2 are alternate exterior angles.

How to Solve this??! 6x-2=x+13

Answers

Answer:

x=3

Step-by-step explanation:

We are given the equation, 6x-2=x+13.

1. 6x=x+15

2. 5x=15

3. x=3

Hope this helps! Good luck on your assignment!

Answer: x=3

Step-by-step explanation:

6x-2=x+13

First get both x’s on one side

We are going to subtract x from both sides

5x-2=13

Now we want to get 5x alone

We are going to add 2 to both sides

5x=15

Now we want to get x alone

We are going to divide by 5

x=3

standard algorithm for 0.3 +0.82

Answers

Answer: 1.12

Step-by-step explanation: just add the numbers

Can you help me solve this

Answers

       

Step-by-step explanation:

A rectangle has a side length of 2 5/8 feet and 3 1/5 feet. Find the perimeter of the rectangle.

Answers

Answer: 2

Step-by-step explanation: ( l + w )

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