Given the following geometric sequence, find the common ratio: {225, 45, 9, ...}.
1/5
-5
-1/5
5

Answers

Answer 1

Answer:

1/5

Step-by-step explanation:

a=225

45/225=1/5

The formula for GP is Tn=ar^n-1


Related Questions

Find YZ and WZ in rectangle WXYZ.

Answers

Answer: WZ=10, YZ=15

Step-by-step explanation:

Which statement is correct for the graph of the specified function?
A) The rate of change for the linear function is 2.
B) The rate of change for the linear function is −1.
C) The maximum value of the quadratic function occurs at y = 4.
D) The minimum value of the quadratic function occurs at x = 4.

Answers

The correct statement regarding the function plotted in the graph is:

C) The maximum value of the quadratic function occurs at y = 4.

What is the rate of change of the linear function?

When x = 0, y = -7, and when x = -5, y = 8, hence the rate of change(change in y divided by change in x) is given by:

R = [8 - (-7)]/-5 - 0 = 15/-5 = -3

What is the maximum value of the quadratic function?

It is concave down, hence it has only a maximum value at y = 4 and not a minimum value, hence option C is correct.

More can be learned about functions at https://brainly.com/question/25537936

Determine if the equation has no solution,one solution, or infinite many solution.

Give an explanation step by step.

-2(11-12)=-4(1-6x)​

Answers

Answer:

Step-by-step explanation:

-2(11-12)=-4(1-6x)​ becomes -2(-1) = -4(1 - 6x)

Next, we divide both sides by -2, obtaining -1 = 2(1 - 6x), and then

                                                                        -1 = 2 -12x, or

                                                                         -3 = -12x

Simplifying this result, we get 1 = 4x, or x = 1/4

We conclude that -2(11-12)=-4(1-6x)​ has ONE solution, which is x = 1/4

How many pairs of corresponging angles are formed when a transeversal is cut by 2 parallel lines?

Answers

Answer: 4

Step-by-step explanation:

There are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,

What are parallel lines?

Parallel lines are the lines that do not intersect or meet each other at any point in a plane.

They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.

If two parallel lines are intersected by a transversal, then corresponding angles are congruent.

The angles are called corresponding angles. If two parallel lines are cut by a transversal, the corresponding angles are congruent.

When a line is cut by a transversal, 4 angles are formed,

2 angles are >=90° while 2 are <=90°

So when we take 2 parallel lines, 4 pairs are formed.

Hence, there are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,

To know more about parallel lines click the link given below.

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Sammy then $200 as a department store she bought three rings for $21 each and spend the rest on for equallypriced bracelets. How much did each bracelet cost? ​

Answers

Answer:

Step-by-step explanation:

3(21) + 4b = 200

63 + 4b = 200

4b = 200 - 63

4b = 137

b = 137/4

b = 34.25...so each bracelet (b) costs $ 34.25

Please help with this question thanks! :`D Also please give me simple explanations thank you.

Answers

Answer:

Step-by-step explanation:

The last one.

A would be a quadratic if the leading coefficient was anything but 0. 0 eleminates the x^2. Not A

B has no x^2 term to begin with. B is not the answer.

C is in exponential form. C is not the answer

D has an x^2 term. There is nothing using x that is higher. D is the answer.

find the simple interest #70000 for 7 1/2 at 3% per annum​

Answers

Answer:

I think 1575000 but not sure sorry if i'm wrong

An equilateral triangle with side lengths equal to 12 StartRoot 3 EndRoot units is inscribed in a circle. Half a side length of the equilateral triangle is 6 StartRoot 3 EndRoot units, so the apothem is units long and the radius of the circle is units long. Each segment of the circle has an area equal to the difference between the areas of the sector and triangle, or ( π − StartRoot 3 EndRoot) units2.

Answers

The apothem (x) is 11.62 units, the radius of the circle is 12 units, and the area of each segment is 48π − 23.25√3 square units.

What is a circle?

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

An equilateral triangle with side lengths equal to 12√3 units is inscribed in a circle.

And half a side length of the equilateral triangle is 6√3 units.

The apothem (x) is units long and the radius of the circle will be

x² = (9√3)² - (6√3)²

x² = 243 - 108

x² = 135

 x = 11.62

And the radius of the circle will be

[tex]\begin{aligned} \cos 30 &= \dfrac{6\sqrt3}{r}\\\\\dfrac{\sqrt3}{2}&= \dfrac{6\sqrt3}{r}\\\\r &= 12 \end{aligned}[/tex]

Each segment of the circle has an area that will be

Area = the difference between the areas of the sector and triangle

Area = the areas of the sector - the areas of the triangle

The area of the sector will be

[tex]\rm Sector's \ area= \dfrac{120}{360} \pi *12^2 \\\\Sector's \ area= 48\pi[/tex]

The area of the triangle will be

[tex]\rm Triangle's \ area = \dfrac{1}{2*3} * 11.62 * 12\sqrt3\\\\Triangle's \ area = 23.25\sqrt3[/tex]

Then the area of each segment will be

Segment area = 48π − 23.25√3

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

1. 6

2. 12

3. 48

4. 36

Step-by-step explanation:

What operation can you use on both sides of the equation 100=100 +y to solve the equation for y? Solve the equation for y.

Answers

The equation 100 = 100 + y is an algebraic equation

The operation is subtraction property of equality, and the value of y is 0

How to solve the equation?

The equation is given as:

100 = 100 + y

To solve for y, we apply the following operation

Operation: subtraction property of equality

So, we have:

100 - 100 = 100 - 100 + y

Evaluate the differences

0 = y

Rewrite as:

y = 0

Hence, the operation is subtraction property of equality, and the value of y is 0

Read more about algebraic equations at:

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How much money will
be spent in interest
alone over the course of
the 4% 30-year
mortgage described in
the table?

Answers

Answer:

the answer is 4,800 dollars

Step-by-step explanation:

Interest is amount added for time. In this case, every dollar borrowed will require 1.04 back. This may not seem like much, but it leads to a lot. Multiplying 120,000 by .04, which is 4 % in decimal form, will give you 4,800 dollars.

Hope this helps!




50°
What is the value of x?

Answers

Answer:

65

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

one of the angle is given as 50 degrees so:

50 + x + x = 180

50 + 2x = 180 subtract 50 from both sides

2x = 130 divide both sides by 2

x = 65

What is the slope of the line that passes through the points (2,8) and (12,20)?
Write your answer in simplest form.

Answers


First find slope we use : m=y2-y1/x2-x1

1) 20-8/12-2 = 8/10 in simple form 4/5

The slope of the required line is  [tex]\frac{6}{5}[/tex].

Equation of a Straight Line:In general form, the equation of a straight line is given by "y = m x + c", where, m is the slope of the line and c is the
Slope of a line is given by: m = [tex]\frac{difference of \ y \ co-ordinates}{difference of \ x \ co-ordinates} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

How to find the slope of the line passing through two points?Let the line passes through two points A(2,8) and (12,20).slope of the line, m
                            [tex]= \frac{y_2 - y_1}{x_2 - x_1} \\\\= \frac{20 - 8}{12-2} \\\\=\frac{12}{10} \\\\=\frac{6}{5}[/tex]

Thus, the slope of the line passing through (2,8) and (12,20) is [tex]\frac{6}{5}[/tex] .

Learn more about the slope of lines here:

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pls help
Triangle MNP with the vertices M(-6,-8) M(-1,-6) and P(-2,-8) in the line y= -5

Answers

Triangle MNP with the vertices M(-6,-8) N(-1,-6) and P(-2,-8) is reflected across the line y= -5 to give M'(-6, -2), N'(-1, -4) and P'(-2, -2)  

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Triangle MNP with the vertices M(-6,-8) N(-1,-6) and P(-2,-8) is reflected across the line y= -5 to give M'(-6, -2), N'(-1, -4) and P'(-2, -2)  

Find out more on transformation at: https://brainly.com/question/4057530

Aja can harvest a field in 13 hours. One day her friend Khia helped her and it only took 6.24 hours. How long would it take Khia to do it alone?

Answers


I think it is 7.36 hours

does anybody know what this mean? on the red circle?​

Answers

Answer:

It may be a division sign, if not I have no clue.

Step-by-step explanation:

I guess it is therefore. Not so sure.....

A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?
33 miles
83 miles
120 miles
270 miles

Answers

Answer:

270 Miles

Step-by-step explanation:

18 miles per gallon

15 gallons

Basically count 18, 15 times

18*15=270

The van can travel 270 miles

A snack-size bag of pretzels contains 0.5 ounce. How many ounces of pretzels come in a bulk pack that contains 64 snack size bags.

Answers

PROBLEM SOLVING

[tex]__________________________[/tex]

Given:Each bag of pretzels contain = 0.5 ozAnswer & Solution:

64 x 0.5 oz = 32 oz

Therefore, 64 bags of pretzels contains 32 oz of pretzels.

the current value of an item is 300000 at tge beginning of the year ,of its value at the end of every year is ¾ of the value at the beginning of the year find its value after 5 years​

Answers

Answer:

71191.4 to the nearest tenth.

Step-by-step explanation:

Value after 5 years = 300000(3/4)^5

= 71191.41

25^(2x+3) = 125^(2x+8)
please help and show work!!!!!!!

Answers

Answer:

[tex]x = -9[/tex]

Step-by-step explanation:

Given equation:

[tex]25^{2x+3} = 125^{2x+8}[/tex]

Convert 25 and 125 to base 5:

[tex]\implies (5^2)^{2x+3} = (5^3)^{2x+8}[/tex]

Apply exponent rule  [tex](a^b)^c=a^{bc}[/tex]

[tex]\implies 5^{2(2x+3)} = 5^{3(2x+8)}[/tex]

If [tex]a^{f(x)}=a^{g(x)}[/tex] then [tex]f(x)=g(x)[/tex]:

[tex]\implies 2(2x+3) = 3(2x+8)[/tex]

Expand:

[tex]\implies 4x+6 = 6x+24[/tex]

Subtract 6x from both sides:

[tex]\implies -2x+6 = 24[/tex]

Subtract 6 from both sides:

[tex]\implies -2x=18[/tex]

Divide both sides by -2:

[tex]\implies x=-9[/tex]

Let's solve up

[tex]\\ \rm\rightarrowtail 25^{2x+3}=125^{2x+8}[/tex]

[tex]\\ \rm\rightarrowtail 5^{2(2x+3)}=5^{3(2x+8)}[/tex]

[tex]\\ \rm\rightarrowtail 5^{4x+6}=5^{6x+24}[/tex]

[tex]\\ \rm\rightarrowtail 4x+6=6x+24[/tex]

[tex]\\ \rm\rightarrowtail -18=2x[/tex]

[tex]\\ \rm\rightarrowtail x=-9[/tex]

I WILL GIVE BRAINLIEST! PLEASE ANSWER CORRECTLY!

4. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.


5. Create a graph of the polynomial function you created in Question 4

Answers

Answer:

4. equation: f(x)=(x-2)(x-1)

direction: parabola faces up bc a is positive

y-intercept: (0,2)

zeros/x-intercepts: (1,0) & (2,0)

5. graph is attached (i used desmos)

Question 8 of 10
Which of the following are exterior angles? Check all that apply.
A. 4
B. 2
C. 1
D. 5
E. 3
F. 6

Answers

Answer:

A triangle's exterior angle is the angle established by one of the triangle's sides and the extension of one of the triangle's adjacent sides.

Step-by-step explanation:

FACTS:

Each vertex of a triangle has two exterior angles.

It's worth noting that the "outside" angles that are "vertical" to the angles inside the triangle aren't called to as triangle exterior angles.

1. The given triangle's angles are 1, 5, and 6.

2. Angle 3 is perpendicular to angle 5 on the inside.

3. The triangle's outside angles are 2 and 4.

The correct answers are A and B.

A triangle's exterior angle is the angle created by one of the triangle's sides and the extension of one of the triangle's adjacent sides.

Help please this is complicated

Answers

Answer:

2=29

3=x?

kris kross

2x=3×29

2x=87

divide both sides by two

x=43.5

and

3=43.5

so find by this method

Raju is twice as old as Paul.
Kai is 6 years younger than Raju.
The sum of their ages is 29 years.
Form a linear equation in x and find Kai's age.​

Answers

Let Paul’s age = x years
Raju’s age = 2x
To get Kai’s age, We have to subtract 6 from 2x as Kai is 6 years younger than Raju
Kai’s age = 2x -6
Sum of their ages = 29
x + 2x + 2x- 6 = 29
5x - 6 = 29

Add 6 to both sides
5x = 29 + 6
5x = 35
Dived both sides by 5
x = 35/5
x = 7
Paul’s age = 7 years
Raju’s age = 2*7
= 14 years
Kai’s age = 14 - 6
= 8 years


A bottle of perfume is spherical with a diameter of 36 mm.
Calculate the capacity of the bottle, in mL.

Answers

24.4 mL

By converting mm to cm, we get

1 mm = 1/10 cm

18 mm = 18/10 cm

radius (r) = 1.8 cm

To find the volume,

Volume of sphere = 4/3πr3

= 4/3π(1.8)3

Volume = 24.4 cm3

To find the capacity,

1 cm3 = 1 mL

Capacity = 24.4 mL

check please :D
12345678901234567890

Answers

Answer: All but one was right

1. 0 (correct)

2. 34 (correct)

3. 398 (correct)

4. -350 (correct)

5. 20 (correct)

6. 200 (wrong)

7. 48 (correct)

8. -1000(correct)

9. 150 (correct)

10. -55 (correct)

Step-by-step explanation:

(2x5)x(9÷3)+4=10x3+4=30+4=34

4(25x8÷2)+3-5=4(200÷2)+3-5=4x100+3-5=400+3-5=403-5=398

-10x20-30(5)=-200-150=-350

5x10-30=50-30=20

4(50-20÷4)+20=4(50-5)+20=4x45+20=180+20=200

3x4(20÷5)=12x4=48

-20(50x2)+5(200)=-20x100+5x200= -2000+1000=-1000

20x5+70-20=100+70-20=170-20=150

-5+10x(-5)==5+-50=-55

Answer:

1. 0

2. 34

3. 398

4. -350

5. 20

6. 200

7. 48

8. -1000

9. 150

10. -55

Step-by-step explanation:

-2 + 5 - 3

3 - 3 = 0

----------------

2 × 5(9 ÷ 3) + 4

2 × 5(3) + 4

2 × 15 + 4

30 + 4 = 34

------------------

4(25 × 8 ÷ 2) + 3 - 5

4(200 ÷ 2) + 3 - 5

4(100) + 3 - 5

400 + 3 - 5

403 - 5 = 398

------------------

-10 × 20 - 30(5)

-200 - 150 = -350

-----------------

5 × 10 - 30

50 - 30 = 20

----------------

4(50 - 20 ÷ 4) + 20

4(50 - 5) + 20

4(45) + 20

180 + 20 = 200

--------------------

3 × 4(20 ÷ 5)

3 × 4(4)

3 × 16 = 48

----------------

-20(50 × 2) + 5(200)

-20(100) + 1000

-2000 + 1000 = -1000

----------------

20(5) + 70 - 20

100 + 70 - 20

170 - 20 = 150

----------------

-5 + 10(-5)

-5 + -50 = -55

------------------------

The only one I see wrong is "4(50 - 20 ÷ 4) + 20"

I hope this helps!

Which ordered pair is a solution of the inequality y < 3x + 1
A. (-3,2)
B. (3,14)
C. (1, -3)
D. (1,6)

Answers

Answer:

c

Step-by-step explanation:

1=x

-3=y

then you plug it in. put the -3 in for the y and the 1 in for the x then you have the equation:

-3<3(1)+1

and solve it

-3<4+1

-3<5

Answer:

D

Step-by-step explanation:

y-3x < 1

D is answer

-3-3= -9

-9 <1

URGENT!

7. At what rate was an investment made that obtains $359.80 in interest compounded annually on $668 over five years?


[compound interest rate]

Answers

Answer:

Rate = 13.173% per year

Step-by-step explanation:

**Not 100% sure about this answer, but I think it's right.**

Calculation Steps:

Solving for rate r as a decimal

r = n[(A/P)^1/^nt - 1]

r = 1 × [(668.00/359.80)^1/^(1)^(5) - 1]

r = 0.131731

Then convert r to R as a percentage

R = r * 100

R = 0.131731 * 100

R = 13.173%/year

!!!WILL MARK BRAINLIEST!!

Answers

Answer:

B, F

Step-by-step explanation:

B, F is correct.

A, C, D, E, G, H is wrong.

[tex] < jkl = < qrs = < zxy = {47}^{0} [/tex]

[tex] < jlk = < zyx = < qsr = {29}^{0} [/tex]

Hei has $1,400 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional deposits of $1,400. After 5 years, what was her account balance if she did not make any withdrawals? Round each year's interest to the nearest cent if necessary. HELP ASAP

Answers

Answer:

$7886.16

Step-by-step explanation:

If the balance increases by 4%, it will be 104% of the original amount.  104% as a decimal is 1.04.  Therefore, to calculate the balance with annual compound interest applied, multiply the balance of the account by 1.04 each year.

As Hei makes additional deposits of $1,400 for each year after the 1st year, add $1,400 to the account balance from year 2 onwards before adding the interest.

Let A = account balance

After 1 year

A = 1400 × 1.04 = $1456

After 2 years

A = (1456 + 1400) × 1.04 = $2970.24

After 3 years

A = (2970.24 + 1400) × 1.04 = $4545.05

After 4 years

A = (4545.05 + 1400) × 1.04 = $6182.85

After 5 years

A = (6182.85 + 1400) × 1.04 = $7886.16

Therefore, after 5 years her account balance will be $7886.16

Solve the equation
8 - (x - 2) = 2x + (10 - 3x)

a. x= 10
b. x= -10
c. infinitely many solutions
d. no solution

Answers

Answer:

Step-by-step explanation:

8-(x-2)=2x+(10-3x)

We move all terms to the left:

8-(x-2)-(2x+(10-3x))=0

We add all the numbers together, and all the variables

-(x-2)-(2x+(-3x+10))+8=0

We get rid of parentheses

-x-(2x+(-3x+10))+2+8=0

We calculate terms in parentheses: -(2x+(-3x+10)), so:

2x+(-3x+10)

We get rid of parentheses

2x-3x+10

We add all the numbers together, and all the variables

-1x+10

Back to the equation:

-(-1x+10)

We add all the numbers together, and all the variables

-1x-(-1x+10)+10=0

We get rid of parentheses

-1x+1x-10+10=0

We add all the numbers together, and all the variables

=0

x=0/1

x=0

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8 - (x - 2) = 2x + (10 - 3x)}\\\mathsf{\rightarrow 8 - x - 2 = 2x + 10 - 3x}\\\mathsf{\rightarrow 6 - x = 5x + 10}\\\mathsf{\rightarrow 6 - 1x = 5x + 10}\\\mathsf{\rightarrow -x + 10 = -x + 10}\\\large\text{ADD the value of x to BOTH SIDES}\\\mathsf{\rightarrow -x + 10 + x = -x + 10 + x}\\\large\text{SIMPLIFY IT!}\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\mathsf{\rightarrow 10 - 10 = 10 - 10}\\\large\text{SIMPLIFY IT!}\\\mathsf{0 = 0}\\\huge\textsf{Answer: Option C. infinitely many solutions}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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