find the common ratio of the gemetric sequence -320, 80, -20, 5

Answers

Answer 1

Answer:

- 0.25

Step-by-step explanation:

Common ratio

[tex]r = \frac{succeeding \: term}{preceding \: term} \\ = \frac{80}{ - 320} \\ = - \frac{1}{4} \\ = - 0.25[/tex]

Answer 2

Given that :-

Geometric sequence → -320,80,-20,5

To find :-

Common ratio .

Solution :-

Common ratio = ar/a

→ Here a = -320

→ ar = 80

→ Common ratio = 80/-320

→ Common ratio = -1/4

Let's check it →

Taking a = 80 and ar = -20

→ Common ratio = -20/80

→ Common ratio = -1/4

So common ratio will be -1/4


Related Questions

HELPPPPP
An example of something discrete is
A.a set of friends: John, Martin, and Bill
B. a set of dice landing on 3 and 4
C. both of the above

Answers

Answer: C) both of the above

Explanation:

Choice A is discrete because it is a finite set. There aren't infinitely many names in here.

The same goes for choice B as well. We have two items in this set { (3,4), (4,3) }. The set of all possible dice rolls is also discrete as there are 6^2 = 36 different ways to roll two dice.

An example of a set that isn't discrete, and continuous, would be the set of real numbers. In this set, we can pick any two values and find the midpoint. We can do this infinitely many times. So in a way, this set is very dense and we can infinitely zoom into a particular region. We can't do the same for a set of finitely many items.

Solve for the exterior angle in the image below?

Answers

Answer:

x = 7

Exterior angle = 139°

Step-by-step explanation:

[tex] (15x + 34) [/tex] is an exterior angle to the ∆ given.

29° and [tex] (12x + 26) [/tex] are two opposite interior angles of the ∆.

According to the external angle theorem, [tex] (15x + 34) = 29 + (12x + 26) [/tex]

Solve for x using this expression

[tex] 15x + 34 = 29 + 12x + 26 [/tex]

[tex] 15x + 34 = 29 + 26 + 12x [/tex]

[tex] 15x + 34 = 55 + 12x [/tex]

[tex] 15x + 34 - 12x = 55 + 12x - 12x [/tex]

[tex] 15x - 12x + 34 = 55 [/tex]

[tex] 3x + 34 - 34 = 55 - 34 [/tex]

[tex] 3x = 21 [/tex]

[tex] \frac{3x}{3} = \frac{21}{3} [/tex]

[tex] x = 7 [/tex]

Exterior angle = [tex] (15x + 34) [/tex]

Plug in the value of x

[tex] 15(7) + 34 = 105 + 34 = 139 [/tex]

Exterior angle = 139°

The cost of 16 television sets is $640,160. What is the cost of 1 television set? (Round off the amount to the nearest thousand and then calculate.)

Answers

Answer:

$40000

Step-by-step explanation:

640160≈640000

640000/16=40000

What is the image of the point (4,5) after a rotation of 90° counterclockwise about
the origin?

Answers

Answer:

A counterclockwise rotation of 270º about the origin is equivalent to a clockwise rotation of 90º about the origin. Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

Hope it helped u if yes mark me BRAINLIEST... Plz. Plz plz!

Tysm!

Given m<1+m<2=180
Prove: L||M
PLEASE HELP ME!! uwu

Answers

Answer:

a 1 vertical angles

2 converse of the same side interior angle theorem

Step-by-step explanation:

<1 = <3 because they are vertical angles

Vertical angles are opposite angles formed by the same lines and sharing a vertex

<2 + <3 = 180  

converse of the same side interior angle theorem

If the angles on the same side between two lines add to 180, this is the same side interior angle theorem

Eli has a number cube. Each side has a different number: 1, 2, 3, 4, 5, or 6. Eli will roll the number cube once. What is the probability he will roll a 4?

Answers

The odds of rolling a 4 is 1/6 or 0.16667 or 16%

Answer:

E. is the correct^

Step-by-step explanation:

You are playing basketball with your friends. The height (in feet) of the ball above the ground t seconds after a shot is released from your hand is modeled by the function f(t)= -16t^2 + 32t + 5.2. What is the value of t when the ball is released from your hand ?

Answers

Answer:

Value of (t) = 0

Step-by-step explanation:

According to the scenario no time has passed.

t = 0

Given:

f(t)= -16t² + 32t + 5.2

When t = 0

So.

f(t)= -16t² + 32t + 5.2

f(0)= -16(0)² + 32(0) + 5.2

f(0) = 5.2 feet

there are twelve months in every year. The number of years is x. The number of months is y.

Answers

Answer:

12x = y

Step-by-step explanation:

12 months per x

12x

this means

12x = y

Hope that helped!!! k

simplify 6+7x-4-3x-11

Answers

Answer:

4x-9

Step-by-step explanation:

6+7x-4-3x-11

Combine like terms: 7x-3x = 4x

                                :6-4-11 = -9

Combine them together and you get 4x-9

<><><><><><><><><><><><><><>OR<><><><><><><><><><><><><><><><><>

Subtract  4  from  6

7 x +2-3x-11

Subtract 3x from 7x

4x+2-11

Subtract 11 from 2

4x-9

What information do you need to accurately describe a translation

Answers

Answer:

make sure you have a good understanding of the subject you are translating, and that the translation is for that subject

To make a bow out of ribbon, Carrie needs 1
1
4
yards of ribbon. If Carrie bought 8
3
4
yards of ribbon at a sale, how many bows could she make?

Answers

Answer:

7 bows

Step-by-step explanation:

I will assume that the numbers are [tex]1\frac{1}{4}[/tex] and [tex]8\frac{3}{4}[/tex]. To find the answer, we can do:

[tex]8\frac{3}{4} / 1\frac{1}{4}\\ = \frac{35}{4} / \frac{5}{4} \\= \frac{35}{4} * \frac{4}{5}\\= \frac{35}{5}[/tex]

= 7 bows

just need help with this problem

Answers

x->inf is the right side of the graph and you can see that y is decreasing. this is represented by option 1.

x->-inf is the left side of the graph and you can see that y is also decreasing. this is represented by option 2.

Please please help I would give anything just please help and check if I’m right it’s algebra 2

Answers

Answer:

In no 4 you have written option B but it should be option C. All of the other except it is correct.

For any positive integer n, the sum of the first n positive integers equals n ( n 1 ) 2 . What is the sum of all the even integers between 99 and 301

Answers

Answer:

The sum of all the even integers between 99 and 301 is 20200

Step-by-step explanation:

For the sum of all the even integers between 99 and 301, this can be calculated using the formula for Sum of n terms in an Arithmetic Progression (AP)

Sum of n terms in an AP [tex]S_{n}[/tex]= [tex]\frac{n }{2}[ 2a + (n - 1)d][/tex]

Where [tex]n[/tex] is the number of terms

[tex]a[/tex] is the first term

and [tex]d[/tex] is the common difference

The AP for the sum of all the even integers between 99 and 301 will look like

100 + 102 + 104 + ... + 300

[tex]a[/tex] = 100

[tex]d[/tex] can be calculated by taking the difference of the first two terms or any two consecutive terms of the AP

Hence, [tex]d[/tex] = 102 - 100 = 2

[tex]n[/tex] can be determined from the formula used to calculate the Last term of an AP

[tex]l = a + (n - 1)d[/tex]

Where [tex]l[/tex] is the last term

In the AP, the last term, [tex]l[/tex] = 300

Then

[tex]300 = 100 + (n - 1)2\\300 - 100 = (n - 1)2\\200 = (n - 1) 2\\(n - 1) = 200 / 2\\n - 1 = 100\\n = 100 + 1\\n = 101[/tex]

Hence, there are 101 terms in the AP

Now, to determine the sum

[tex]S_{n}[/tex]= [tex]\frac{n }{2}[ 2a + (n - 1)d][/tex]

[tex]S_{n} =\frac{101}{2}[ 2(100) + (101 - 1)2]\\ S_{n}=\frac{101}{2}[ 200 + (100)2]\\ S_{n}=\frac{101}{2}[ 200 + 200]\\S_{n}=\frac{101}{2}[ 400]\\S_{n} = 20200[/tex]

Hence, the sum of all the even integers between 99 and 301 is 20200


If 11 is added to the square of a number, the result is 92

Answers

Answer:

Algebraic expression ; 11+x^2 =92

Solved answer = 9

Step-by-step explanation:

Let the unknown number be x ;

[tex]11 + x^2 = 92[/tex]

Solve for x ; Collect like terms ;

[tex]x^2 = 92-11\\\\x^2 = 81[/tex]

Square root both sides ;

[tex]\sqrt{x^2} = \sqrt{81} \\\\x = 9[/tex]

please help :(

Write a story for this equation: $10 - $4.05 = c. ​

Answers

Answer:

Mr Singh went to the shops to buy some Coke. He wanted a $10 dollar pack which had 12 coke cans. He had a coupon which took off $4.05. Using the information above, what did Mr Singh pay?

Answer:

Step-by-step explanation:

John is given $10 pocket money. After spending $4.05 in the local store he has c dollars left.

How do I find the slope to this equation ?
2х-Зу = 12

Answers

Answer:

slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

Slope of the equation is determined as per slope-intercept form:

y = mx +b

Bring the given equation to mentioned form:

2x - 3y = 12        ⇒ make y the subject3y = 2x - 12        ⇒ divide all terms by 3y = 2/3x - 4        ⇒ this is the slope-intercept form

Since m = 2/3, it is the slope of the given equation

4
3x + 2(x - 5) = 25
Check your Solution

Answers

Answer:

x = 7

Step-by-step explanation:

3x + 2(x - 5) = 25

→ Expand brackets

3x + 2x - 10 = 25

→ Add the 'x's together

5x - 10 = 25

→ Add 10 to both sides to isolate 5x

5x = 35

→ Divide both sides by 5 to isolate x

x = 7

Solve the following word problem
The width of a rectangular parking lot is 20 meters less than the length. The perimeter is 200
meters. Find the length and the width.

Answers

Answer:

Length=60 meters, width=40 meters.

Step-by-step explanation:

If the perimeter of the rectangular is 200 that means length*width=100. So we take 50 and add 10 and subtract 10. So the width is 40 and the length is 60

two out of four snowmen built by young children have carrots for noses. what percentage or snowmen have carrots for noses??
A) 20%
B)40%
C) 50%
D) 100%​

Answers

the answer should be c) 50%
Answer would be C) 50%

Algebraically determine each of the following for the function y=16 - 4x(squared). A) the x and y intercepts if any. B) the symmetry type (x axis, y axis, origin, or neither.)

Answers

Answer:

A) x intercept: (2, 0) , (-2, 0)

y intercept: (0, 16)

B) symmetric about y axis

Step-by-step explanation:

Given the function:

[tex]y=16-4x^{2}[/tex]

To find:

Algebraically, A) find the x and y intercepts and B) the symmetry type.

Solution:

A) x intercept, let us put y = 0

[tex]y=16-4x^{2}[/tex]

[tex]0=16-4x^{2}\\\Rightarrow 4x^2=16\\\Rightarrow x^2=4\\\Rightarrow x =+2, -2[/tex]

x intercept:  (2, 0) , (-2, 0)

For y intercept, put x = 0

[tex]y=16-4x^{2}[/tex]

y = 16 - 0 =16

y intercept: (0, 16)

B) If the quadratic equation is given as: [tex]y=ax^2+bx+c[/tex],

the axis of symmetry is a vertical line [tex]x=-\frac{b}{2a }[/tex]

Here, c = 16

b = 0 and

a = -4

So, Axis of symmetry is:

[tex]x=-\dfrac{0}{2\times (-4)} = 0[/tex]

which is the equation of y axis.

So, given equation is symmetric about y axis.

difference of squares factoring ( please show work) :)
p2 - r2 = 0

Answers

Step-by-step explanation:

p² − r² = 0

(p − r) (p + r) = 0

p = r or -r

Points W, K, and are collinear.



Line CA and line YK intersect at .



Point is not contained on line m.

Answers

Answer:

1)  J, k and w

2)Y

3) ONE

Step-by-step explanation:

The three collinear points on line m are

✔ J, K, and W

.

 

Point  

✔ Y

is not on line m.

 

✔ One

line(s) could be drawn through points P and X.

Answer:bcd

Step-by-step explanation:

Does anyone know this?

Answers

Answer:

The input cannot be repeated, unlike the output which doesn't really matter if it is repeated in other words a function is a relation in which each input has only one output. Therefore the answer to this is A

Step-by-step explanation:

Write a verbal sentence to represent the equation
X/4+8=-16

Answers

Answer:

The sum of X divided by 4 and 8 is -16.

Step-by-step explanation:

The main numbers we are adding are X/4 and 8, so those can be referred to as "the sum of". X/4 is simply "X divided by 4".

This all equals -16, so we have:

The sum of X divided by 4 and 8 is -16.


Solve for x:
3/4 + 2/3 + 8/9 = 2 x/36

Algebra 2

Answers

Answer:

x = 11

Step-by-step explanation:

Steps as below:

3/4 + 2/3 + 8/9 = 2 x/363*9/4*9 + 2*12/3*12 + 8*4/9*4 = 2 x/3627/36 + 24/36 + 32/36 = 2 x/3683/36 = 2 x/362 11/36 = 2 x/36x= 11

A function is called from the main function and then it calls itself five times. The depth of recursion is

Answers

Answer: five.

Step-by-step explanation: The depth of a recursion or Recursive statement can simply be explained as the maximum number of times a function calls itself until the stopping condition is met. In the scenario above, the number of times the function calls itself is five hence the depth of recursion will be five. A Recursive function or algorithm involves repetitive calling of itself( that is the Recursive function) until the condition to stop is met, hence the number of times the fuction has to call itself before the stopping condition is satisfied is called the depth of the Recursive algorithm.

explain: Let's solve for x. labc=x−32 Step 1: Flip the equation. x−32=abcl Step 2: Add 32 to both sides. x−32+32=abcl+32 x=abcl+32 Answer: x=abcl+32

Answers

Answer:

x=abcl+32

Step-by-step explanation:

We need to solve for x for the below expression :

labc=x−32

Fisrt let's flip the question.

x-32=abcl

Add 32 on both the sides

x-32+32=abcl+32

We know that -32+32 = 0

x = abcl+32

So, the value of x is abcl+32.

Please answer this correctly, because I will know If the answer Is wrong. If It's right, I'll give out brainliest.

Answers

Answer:

113⁶ × 37³ × 51¹²

Step-by-step explanation:

(113² × 37 × 51⁴)³ =

113²ˣ³ × 37³ × 51⁴ˣ³ =            ⇒ power of the power is the product of powers

113⁶ × 37³ × 51¹²                    ⇒ answer, no more simplifications possible

A triangle has sides of lengths 9, 7, and 12. Is it a right triangle? Explain.

Answers

Answer:

No, [tex] 9^2 +7^2 \neq 12^2 [/tex]

Step-by-step explanation:

[tex] 9^2 +7^2 = 81+ 49 =130...(1)[/tex]

[tex] 12^2 = 144...(2)[/tex]

From equations (1) & (2) it is obvious that:

[tex] 9^2 +7^2 \neq 12^2 [/tex]

Thus, the given is not a right triangle.

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