What is the common ratio of this sequence?​

What Is The Common Ratio Of This Sequence?

Answers

Answer 1

Answer:

D. 5

Step-by-step explanation:

a geometric sequence is defined that any item of the sequence is created by multiplying the previous item of the sequence with a constant factor (it is the same factor for every item in the sequence).

so, we have the starting value

a1 = 3

then

a2 = 15

what is a multiplication factor to go from 3 to 15 ?

well, 5. I need to multiply a1 by 5 to get a2.

and this continues.

a3 = a2×5 = 15×5 = 75

a4 = a3×5 = 75×5 = 375

and so on.

the ratio of the sequence is simply the relation of one sequence item to the previous one :

an/an-1

and that is here for the described reasons 5.


Related Questions

I could really use some help

Answers

045 bearing the three figure for north east

Answer:

045

Step-by-step explanation:

North is equal to 360 or 0 degrees. East is equal to 90 degrees because that is 1/4 of 360.

Thus, northeast is 45 degrees. This image may help.

Instructions: Find the missing side of the triangle.
48
50

Answers

Answer:

x = 14

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

48 ^2 + x^2 = 50^2

2304+x^2=2500

x^2 = 2500-2304

x^2 =196

Taking the square root of each side

sqrt(x^2) = sqrt(196)

x = 14

Answer:

14

Step-by-step explanation:

Use A^2+B^2=C^2

A=48

C=50

So B=sqrt(C^2-A^2)

B=sqrt(50^2-48^2)

B=sqrt(2500-2304)

B=sqrt(196)

B=14

what number goes in the blank?? NEED HELP ASAPPP

Answers

The answer is 5 :>>>

Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic? Need help!!

Answers

Answer:

$0.25

Step-by-step explanation:

Let's represent the comics by assigning it the letter C.

20C = $5.00

C = $5.00/20

= $0.25

We can confirm this by using the example where he uses 30 comics.

30C = $7.50

C = $7.50/30

= $0.25.

Therefore each comic costs $0.25

May I sincerely get some help on this, please?

Answers

Answer:

B

Step-by-step explanation:

I have attached the explanation above. This is all I can do. Hopefully this will help

{(2,-3),(3,-1),(2,3),(4,6),(6,6)}


Are the ordered pairs a function or not?

Answers

Answer:

Its a domain

Step-by-step explanation:

Domain:{2,3,4,6}

How to change the decimal 4.5 into a fraction

Answers

4.5

= 4.5/1

= 4.5/1.0

= 45/10 [Shifting the decimal to right]

= 9/2 [Reducing to the simplest form]

So, the answer is 9/2.

Which numbers belong to the solution set of the inequality?
6x < 48
A. 1,3,5,8
B. 2,4,5,7
C. 7,9,13,16
D. 9, 12, 14, 20

Answers

Answer:

B. 2, 4, 5, 7

Step-by-step explanation:

6x<48

Divide by 6 on both sides:

x < 8 (excluding 8)

You can test values greater than 8, and if it yields false, then try different numbers.

Hope this helps!

Answer


B. 2,4,5,7

6 x 2 = 12
6 x 4 = 24
6 x 5 = 30
6 x 7 = 42

Please help me anyone

Answers

Answer:

Step-by-step explanation:

y = x^2 + 4

x = 11  Put this value in wherever you see an x on the right.

y = 11^2 + 4

11^2 = 11 * 11 = 121

y = 121 + 4

y = 125

Which set of ordered pairs does NOT represent a function?
{(0, 0), (1, 1), (2, 2), (3, 3)}
(0, 0), (0, 1), (1, 2), (1, 3)}
{(1,0), (2, 0), (3, 0), (4, 0)}
{(0, 1), (1, 2), (2, 3), (3, 4)}

Answers

Answer: (0, 0), (0, 1), (1, 2), (1, 3) does NOT represent a function

Step-by-step explanation:

to tell whether a set of ordered pairs are functions or not, all domains must have different ranges!

range: x-axis (0,0)

domain: y-axis (0,0)

pair 1:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

pair 2:

all the ranges - 0, 0, 1, 1 - are NOT all different, which means it is NOT a set of ordered pairs

pair 3:

all the ranges - 1, 2, 3, 4 - are different, which means it IS a set of ordered pairs

pair 4:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

let me know if you have any more questions or if i made any mistakes. hope this helped, and good luck! ˶ˆ꒳ˆ˵

The ratio of boys to girls in a dass in a dass is 4.3 if There are 20 boys in the class. How many are girls!​

Answers

fifteen girls are there

Answer:

15 girls

Step-by-step explanation:

It helps when you stack the ratio and # of ppl, so:

4:3

20:x

How do you get from 4 to 20? You multiply 5.

Now do that to the other side, you get 15.

Hope this is helpful ^^

Which of these figures has rational symmetry?

Answers

Answer:

a is the answer parallelogram is a rotational symmetry

A would be the answer rational symmetry means it can be rotated by an angle of 0 and 360 degrees and be the same :)

PLZ HELP ASAP ILL MARK BRAINLIEST!
what are the leading coefficient and degree of the polynomial?
9y+8-y^2+12y^4

Answers

Polynomial degree : 2

Leading coefficient : 11

Answer:

The degree of the polynomial is 4.

The leading coefficient of the polynomial is 12.

Step-by-step explanation:

The degree of the polynomial is the highest power in the polynomial.

The highest power in the given polynomial is 4.

The leading coefficient of the polynomial is 12.

Please help immediately, this is urgent!!! If you see this please answer my question.

Answers

Answer:

It is the second option down

Step-by-step explanation:

Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are different, but the yintercepts are the same. How
many solutions would you expect for this system of equations?
O A. 1
O B. cannot be determined
O C. O
D. infinitely many

Answers

Answer:

Option A

Step-by-step explanation:

If the system of equations are,

y = m₁x + b

y = m₂x + b

Since, m₁ ≠ m₂ both the lines will be different (not parallel)

Therefore, the will be at least one solution of the given system of equations.

Option A will be the answer.

Classify the triangle.
O obtuse
O equiangular
Oright
O acute

Answers

Answer:

right

Step-by-step explanation:

The box in the lower corner means that the angle is equal to 90 degrees, which means the angle is a right angle

The  triangle is a right triangle

Answer:

Right

Step-by-step explanation:

Types of triangle classifications

Acute: a triangle with all angle measures less than 90 degrees

Obtuse: a triangle with an angle of more than 90 degrees

Right: a triangle with a right angle.

Equilateral: a triangle with all equal angles ( more specifically all 60 degree angles )

Now let's look back at the question

Classify the type of triangle

Well looking at the triangle the triangle has a right angle ( indicated by the little square at the bottom left of the triangle)

A triangle with a right angle is known as a right triangle

The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?

Answers

Answer:

Yes it can

Step-by-step explanation:

To check wether it's a right angle triangle we need to apply the Pythagoras theorem

h^2= a^2 +b^2

Hypotenuse is always the longest side so

5^2 = 3^2 + 4^2

This is correct, so the triangle is a right angle triangle

Answer from Gauthmath

In the following table of values, the first differences are

x y First Difference
-2 34
-1 27
0 20
1 13
2 6

Answers

Answer:

-7

Step-by-step explanation:

Given

[tex]\begin{array}{ccc}x & {y} & {First\ difference} & {-2} & {34} & {}&{-1} & {27} & {} &{0} & {20} & {} & {1} & {13} & {} & {2} & {6} &{} \ \end{array}[/tex]

Required

The first difference

To do this, we simply calculate the difference between the consecutive y-values.

i.e.

[tex]d = y_{n+1} - y_n[/tex]

So, we have:

[tex]d = y_2 - y_1 = 27 - 34 = -7[/tex]

[tex]d = y_3 - y_2 = 20 - 27 = -7[/tex]

[tex]d = y_4 - y_3 = 13 - 20 = -7[/tex]

[tex]d = y_5 - y_4 = 6-13 = -7[/tex]

Hence, the first differences are -7 (all through)

Find the AAS postulate?

Answers

Answer:

<T ≅ <A

Step-by-step explanation:

The AAS Postulate states that two triangles are congruent of the two angles and a mon-included side of one triangle are congruent to the corresponding two angles and mon-included side of the other.

From the diagram given, we know that

Non-included side UC in ∆TUC is congruent to non-included side UC in ∆AUC.

Also, we know that <U in ∆TUC is congruent to <U in ∆AUC (vertical angles are congruent)

We are not given if <T is congruent to <A or not. Therefore, the additional information that is required to know that both triangles are congruent by the AAS Postulate would be:

<T ≅ <A

Which of the following statements is false ?

Answers

Answer:

The bases of an isosceles trapezoid are congruent is false.

Step-by-step explanation:

Let's analyse each option.

In a Rhombus, the diagonals are perpendicular at the point of intersection and bisect each other is true.

In isosceles trapezoid, the sides are congruent but not the bases. So, this incorrect!

The rectangle is an Equi-angular because all the angles are equal. So, this is true.

The base angles are congruent in isosceles trapezoid. So, this is true too.

Eric and Shiloh each have a savings account. The ratio of Eric’s account balance to Shiloh’s account balance is 4:3. Together they have a total of $140 in their accounts. Use the tape diagram below to help you determine the balance of Eric’s account. [Type your answer as a number.]

Answers

Answer:

Eric   80

Step-by-step explanation:

Take 4+3 = 7

140 /7 = 20

There is 20 in each block

Eric gets 4 of the blocks so 4*20 = 80

Shiloh gets 3 of the blocks 3*20 = 60

Answer:

80

Step-by-step explanation:

4 : 3

4x + 3x = 140

7x = 140

x =20

4*20 = eric's amount

= 80

What is the missing justification?

transitive property
reflexive property
symmetric property
substitution property

Answers

Answer:

Transitive property

Step-by-step explanation:

Given

See attachment

Required

The missing property?

In step 1, we have:

[tex]\angle A \cong \angle B,\ \angle C \cong \angle B[/tex]

Transitive property states that:

If [tex]a = b[/tex] and [tex]b = c[/tex]

Then [tex]a = c[/tex]

Similarly:

If [tex]\angle A \cong \angle B[/tex] and [tex]\angle C \cong \angle B[/tex]

Then  [tex]\angle A \cong \angle C[/tex] --- step 3

Hence, we can conclude that the transitive property is the missing justification

Jamie bought a new pair of jeans for $\$10$ because the price marked was $75\%$ off the original price. What was the original price of the pair of jeans?

Answers

Answer:

$40

Step-by-step explanation:

Let

Original price = x

Selling price = $10

Discount = 75%

Selling price = original price - (Discount * original price)

10 = x - 75% of x

10 = x - 0.75 * x

10 = x - 0.75x

10 = 0.25x

x = 10/0.25

x = 40

Original price = x = $40

which statements are true about function h?

Answers

Answer:

statement 1 is the true answer

The correct statements about function h(x) are:

1) As x approaches ∞, h(x) approaches ∞

2) The y-intercept is (0, 5)

3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]

4) As x approaches -∞, h(x) approaches -∞

What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is exponential function?

"A function of the form [tex]f(x)=a^x[/tex], where “x” is a variable and “a” is a constant."

What is domain?

"It is a set of all possible input values for which a function is well defined."

What is range?

"It is a set of all possible output values."

What is intercept?

"It is a point at which the graph of the function intersects the X-axis or Y-axis."

For given question,

A function [tex]f(x)=x^{\frac{1}{3} }[/tex] is transformed to function [tex]h(x)=(2x)^{\frac{1}{3} }+5[/tex]

The domain of function h(x) is all real values.

To find the y-intercept, substitute x = 0

[tex]\Rightarrow h(0)=(2\times 0)^{\frac{1}{3} }+5\\\\ \Rightarrow h(0)=5[/tex]

So, the y-intercept of function h(x) is (0, 5)

To find the x-intercept, substitute y = 0 i.e., h(x) = 0

[tex]\Rightarrow 0=(2x)^{\frac{1}{3} }+5\\\\\Rightarrow (2x)^{\frac{1}{3} }=-5\\\\\Rightarrow 2x=-125\\\\\Rightarrow x=-62.5[/tex]

This means, the x-intercept of h(x) is (-62.5, 0)

From the graph of the function h(x), we can observe that as x approaches -∞ then h(x) approaches -∞ and as x approaches ∞ then h(x) approaches ∞

Therefore, the correct statements about function h(x) are:

1) As x approaches ∞, h(x) approaches ∞

2) The y-intercept is (0, 5)

3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]

4) As x approaches -∞, h(x) approaches -∞

Learn more about the function here:

https://brainly.com/question/13461298

#SPJ2

Plz someone do this I’ll give you a lot of points

Answers

Answer:

DC is congruent to CZ

Step-by-step explanation:

We know two angles are congruent so we need to have the side that is included between those angles so we say that

DC is congruent to CZ

(5,8) and (x, 12) slope is -2, find x
PLEASE HELP ASAP

Answers

Answer:

x = 3

Step-by-step explanation:

Understandings:

• Slope Formula

—————————

Use the Slope-Formula to identify the slope

Slope-Formula: y2-y1/x2-x1

Slope-Form: 12 - 8/x - 5

Where Slope = -2

12 - 8/x - 5 = -2

4/x - 5 = - 2

x is a positive number

4/(3)- 5 = - 2
4/-2 = -2

- 4/2 = -2

SOLVE EQUATION
solve for x
|3x+19|=13

Answers

Answer:

answer is 20............

Step-by-step explanation:

3x=13-19

x= -6/3

x= -2

Answer:

= -2

Step-by-step explanation:

3x+19=13

3x=13-19

3x/3= 6/3

X= -2

Answer from Gauthmath

Suppose you have D12000 to save . You have to save some amount at 10% and the rest at 15% how much should be saved at each rate to yield 12% on the total amount saved

Answers

Answer:

$7200 at 10%

$4800 at 15%

Step-by-step explanation:

Which division problem does the number line best illustrate

Answers

Answer:

10 ÷2 = 5

Step-by-step explanation:

10 is the final number

It is grouped in 2's

10 ÷2 = 5

Select the expression that shows the distributive property applied to
13(2+9).
18 of 29 QUESTIONS
13(9+2)
13. 2+ 9
13. 2+ 13.9
13. 2+ 2.9

Answers

3rd option is correct

13 × 2 + 13 × 9

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