Here is a sequence: 500, 100, 20, . . . Explain why this sequence could be a geometric sequence.

Answers

Answer 1
A geometric sequence is a sequence in which the numbers are multiplied by a fixed number called the common ratio. For example the sequence 2,6,18,54 all have the common ratio of 3! 2*3=6, and 6*3=18, and 18*3=54!!!!!!!
The answer to this problem would be a geometric sequence! Here’s why:, each term has the common ratio of 1/5!!!!!!! 500*1/5=100....and so on
There fore your answer is this sequence could be geometric because it can be multiplied by a fraction in order to get the next term!!!!!!! Hope this helped
Answer 2

A sequence is said to be Geometric sequence if there is a common ratio 'r' in each successive term and the previous term.

[tex]r=\frac{\text{Successive term}}{\text{Previous term}}[/tex]

Given sequence is,

500, 100, 20......

Ratio of 2nd and 1st term = [tex]\frac{100}{500}[/tex]

                                          = [tex]\frac{1}{5}[/tex]

Ratio of 3rd and 2nd term = [tex]\frac{20}{100}[/tex]

                                           = [tex]\frac{1}{5}[/tex]

Therefore, there is a common ratio 'r' = [tex]\frac{1}{5}[/tex]

And the given sequence will be geometric sequence.

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Related Questions

An investment that costs $5,000 will produce annual cash flows of $3,000 for 3 years. Using a required return of 8%, the investment will generate a NPV of $

Answers

Answer:

The investment will generate a NPV of $2,731.

Step-by-step explanation:

Cost of an investment (PV) = $5,000

Annual cash flows = $3,000

Period of investment = 3 years

Interest rate of return = 8%

Annuity Factor = 2.577 (for 3 years at 8% per year)

Present value of the annuity = $3,000 * 2.577 = $7,731

NPV = Annuity PV minus PV of investment cost

= $7,731 - $5,000

= $2,731

b) The NPV (net present value) of $2,731 is the difference between the present value of the annual cash flows $7,731 and the investment cost of $5,000.  The resulting NPV is positive and the investment should be accepted.

Which equation represents table 1

Which equation represents table 2

Which equation represents table 3

Which equation represents table 4

Which equation represents table 5


Answers

Answer:

1 y=3x 2 y=38x 3 y=202x 4 y=2x 5 y=16x

Step-by-step explanation:

Answer:do yo use I’ll need help

Step-by-step explanation:

Given the measures a = 10, b = 40, and A = 30°, how many triangles can possibly be formed?

Answers

Answer:

no triangle can be formed with the given values (i.e 0 triangle).

Step-by-step explanation:

Given;

length of side a, = 10

length of side b, = 40

angle A, = 30°

Apply sine rule to determine the angle of the second side (B);

[tex]\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2[/tex]

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.

Answer:0

On edge

Step-by-step explanation:

The cost for a company to produce a part for d days is represented by the function
f(d) = 325d +8,795.
What does the value 8,795 represent in this situation?
Options: each day,the total cost decreases by $8795 or each day the total cost increases by 8795 or the initial cost is 8795 or the total cost to produce a part for d days is 8795...plz help

Answers

Answer:

Hi,

The equation of a linear function has the following format:

[tex]y = mx + b[/tex]

Where  represents the value of   for when   is equal to zero.

Therefore, 8795 can be considered the initial value for production.

Step-by-step explanation:

The graph of a linear function is the same as the example below:

As noted in the figure, the value of [tex]b[/tex] provides the value of [tex]y[/tex] when [tex]x[/tex] is null. This is also called the linear coefficient of the line (or intercept)

The value of [tex]m[/tex]  represents the rate of change of the function and is linked to the slope of the line.

Any questions just ask in the comments.

Since the equation given is f(d) = 325d +8,795, the value that 8,795 represent in this situation is the initial cost.

The given equation in this case is f(d) = 325d +8,795, it should be noted that 8795 is the fixed cost. On the other hand, the expression 325d represents the variable cost.

325d means that the cost will increase each day by that amount. Therefore, the value that 8,795 represents in this situation is the initial cost.

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If m<1 = 113°, What is m<4 ???

Answers

Angle 4 = 67° I hope this helps!

Answer:

67

Step-by-step explanation:

m<1 and m<3 are the same so subtract 113x2, or 226

subtract 360 from 226

m<2+m<4=134

divide by 2 coz m<2 and m<4 are the same as well

m<4= 67

NEED HELP ASAP PLEASE HELP!!!

HELP PLEASE!!!!!!

Answers

Answer:

1. 230, 219, 208, 197, 186.

2. Arithmetic, you are subtracting a constant rate, instead of an exponential rate.

3. Finite, the question says the farmer only took 10 trips, infinite would be much, much much more trips.

Step-by-step explanation:

1. The pattern is to subtract 11, so you just do this for 3 more times.

2. Geometric sequences could look something like 230-11=219. The you multiply by a random number like 2, then you subtract 219- (11x2), 219-22=197. This sequence does not do that.

3. It says in the question the farmer only does it for 10 more times.

Can someone help me find x.

Answers

Answer:

Step-by-step explanation:

6x+9=63

6x=63-9

6x=54

x=54/6

x=9

I encourage you to figure out the justification yourself.

A truck carries 45 crates of water. Each crate holds 24 bottles of water. How many bottles of water does the truck hold?

A. 1,008
B. 1,080
C. 1,808
D. 1,888

Answers

Answer:

answer is 1,080

Step-by-step explanation:

45×24=1,080

2x + y = 9
5x + 3y = 26

Answers

Answer:

7X+4y=35

Step-by-step explanation:

HELP HELP HELP First to HELP gets the brainliest :D

Answers

Answer:

 [tex]y= -\frac{1}{3}x -6[/tex]

Step-by-step explanation:

Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!

I added in the slope formula at the bottom, just in case, so you'll see what I mean!

I hope this helps, and I explained enough! Have a great day c:

The answer above is totally correct and they give perfect explanation!

Mike made a 9-inch sub sandwich. He needs to cut it into 2/3 inch pieces. How many pieces will he be able to cut?

Answers

Divide total length by cut length:

9 / 2/3

= (9 x 3)/2 = 27/2 = 13.5

He can cut 13 pieces

If mike made a 9 inch sub divided into 3 he would be able to make 3 because 3x3 is 9 so if he wanted to cut into 2/3 of the sub he would have 6 inches of sun and three inches leftover.

If Gage gets 40 bucks a month how much months would it take him to get 300 bucks.

Answers

Answer:

7 to 8 months / most probably 8 months

7.5 months to be exact

Step-by-step explanation:

Hi there!! Let's work!

So lets Break it down,

Given: $40 every month

Prove: How many months till he has in total $300

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

We need to multiply the number of months to 40 to get 300

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So lets refer to a multiplication chart to make it easier:

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Here is an example of the equation we will use:

400 x (months) = $300 / (or how much ever we get)

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As you can see:

We have 2 final equations because we don't have a straight forward answer. (Refer to explanation below)

40 x 7 = 280

and

40 x 8 = 320

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

So in problems like these we have to think like we would in real life, if you have an option you can write 7 to 8 months or you should write 8 instead of seven since they may be asking for a specific amount of months and after 8 months Gage will reach (surpass) his goal of $300 by $20.

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which property is used in the following? 2(8+9)= 2*8+2*9
a. None of the above
b. Association property
c. Commutative property
d. Multiplication property of zero

Answers

Answer:

A) None of the above

Step-by-step explanation

it's distributive property

Use the figure to find the measures of the
numbered angles.
1/2
a
107°
b

Answers

Answer:

∠1 = 107

∠2 = 73

Step-by-step explanation:

DO ASAP. PLS
Six men can pack 900 boxes in 4 days. At this rate, how many boxes can ten men pack in 6 days?

Answers

Answer:

1350

Step-by-step explanation:

900/4 = 225

225x6=1350

i think

hope this helped

How do you do this question?

Answers

Step-by-step explanation:

The Taylor series expansion is:

Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!

f(x) = 1/x, a = 4, and n = 3.

First, find the derivatives.

f⁽⁰⁾(4) = 1/4

f⁽¹⁾(4) = -1/(4)² = -1/16

f⁽²⁾(4) = 2/(4)³ = 1/32

f⁽³⁾(4) = -6/(4)⁴ = -3/128

Therefore:

T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!

T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³

f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0.  So we can eliminate the top left option.  That leaves the other three options, where f(x) is the blue line.

Now we have to determine which green line is T₃(x).  The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).

The bottom right graph is the only correct option.

If these two shapes are similar, what is the measure of the missing length g?

Answers

So if the shapes are similar, they have to have a number multiple from to get the other triangle. If you divide 63 by 42, you get 1.5. Then you have to divide 54 by 1.5 to get G and that would be 36.

y> 3x +3
1
yer - 2
트로

Answers

Answer:

Is this in a different language?

Step-by-step explanation:ok:)

Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.

Answers

Answer:

S(-2, -3)

Step-by-step explanation:

Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;

S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;

x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1

Substitute the values into the formula;

X = ax2+bx1/a+b

X = 3(-1)+1(-5)/3+1

X = -3-5/4

X = -8/4

X = -2

Similarly;

Y = ay2+by1/a+b

Y = 3(-5)+1(3)/3+1

Y = -15+3/4

Y = -12/4

Y = -3

Hence the coordinate of the point (X, Y) is (-2, -3)

Match the number with its opposite. (4 points)

Answers

I hope this helps!!!

1.C
2.A
3.B
4.D

Find the antiderivative of f (x) = 10x4 + 12.5.

Answers

Answer:

The anti-derivative of f(x) will be:

[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]

Step-by-step explanation:

Given the function

[tex]\:f\left(x\right)=10x^4\:+\:12.5[/tex]

Taking the anti-derivative of f(x)

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:[/tex]

[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]

Solving

[tex]\int 10x^4dx[/tex]

[tex]\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]

[tex]=10\cdot \int \:x^4dx[/tex]

[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]

[tex]=2x^5[/tex]

similarly,

[tex]\int 12.5dx[/tex]

[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]

[tex]=12.5x[/tex]

so substituting these values

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]

                                [tex]=2x^5+12.5x[/tex]

                               [tex]=2x^5+12.5x+C[/tex]   ∵ Add constant to the solution

Therefore, the anti-derivative of f(x) will be:

[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]

I need help ASAP Due in a day marking brainliest!!!

Answers

Answer:

i ont hel.p.............................................. .

Step-by-step explanation:

Answer:

D) -3

Step-by-step explanation:

Imagine a horizontal line that intersects the graph at 3 points

Looking at the graph, the line is possible in the interval from y = -2.5 to y = -4

D) -3 is the only option in the same interval

If you dilate a figure with scale factor r = 1/2, what scale factor do you use to reverse that dilation and move it back?

Answers

Answer:

r = 2

Step-by-step explanation:

When a figure is dilated with scale factor r = 1/2, the figure is halved. To reverse it back to normal, you would have to double the halved figure. Doubling something is the same as dilating it with a scale factor of 2.

Hope this helps :)

You are interested in determining if the average amount of time (in hours) that students spend on the Internet per day is greater than 2 hours. The data below are from a random sample of 11 students. 2.5 100 .5 1 1.5 3 3.5 4 3 4 2.5 What did you notice from your preliminary analysis of the data

Answers

Answer:

The data is not appropriately normal.

Step-by-step explanation:

In inferential statistics, a normal distribution is said to be symmetric and should be single-peaked when working with a random selection of a large sample.

The high number of the sample is 100 which is further from other samples, the central limit theorem explains that the sample size of independent mean must be large enough to mimic the population for the sample to be normal or nearly normal. So, the sample is not appropriately normal and should be larger in size.

estimate the quotient


7÷1,611

estimated

Answers

Answer:

The answer is 230.14

Easy long division

Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KM = 15.3. JKM is a right triangle because KM = 18.2. JKM is not a right triangle because KM ≠ 15.3. JKM is not a right triangle because KM ≠ 18.2.

Answers

Answer:

c

Step-by-step explanation:

,

Answer:

The Answer is C

Step-by-step explanation:

The volume of a half-gallon carton of milk is 1.9 L. How many milliliters is this?

Answers

Answer:

1.9 litres is equvalent to 1900 mililitres

What is indicated by a positive value for a correlation? a. A much stronger relationship than if the correlation were negative b. A much weaker relationship than if the correlation were negative c. Increases in X tend to be accompanied by decreases in Y d. Increases in X tend to be accompanied by increases in Y

Answers

Answer: Increases in X tend to be accompanied by increases in Y

Step-by-step explanation:

The option given that indicates a positive value for a correlation is that an increases in X tend to be accompanied by increases in Y.

When two variables are said to be positively correlated, it simply means that the variables move along the same direction. As one variable increase, the other variable too will slow increase and vice versa.

A sphere has a radius of 11 Inches. A horizontal plane passes through the center of the sphere.
Part 1 out of 2
Describe the cross section formed by the plane and the sphere.
It is a (square, circle, or oval) with a radius of in.

Answers

Answer:

part 1

circle, 11

part 2

decrease

Step-by-step explanation:

What’s the angles relationship ?

Answers

Answer:

IF YOU ARE TALKING ABOUT ANGLES 1 AND 2

They add up to 180 degrees

if you want the measures of them, ANGLE 1 = 140 degrees    ANGLE 2 = 180-140=40 degrees

Step-by-step explanation:

They are Supplementary angles, which means they add up to 180 degrees

HOPE THIS HELPPPSSSSSSSSSSS

Co-interior angles

This means that angle 1 would be 140 degrees
Angle 2 would be 40 degrees
Other Questions
In this market research step, the data are compiled, studied, and interpreted: (a) In 2008 the total number of tickets sold for an athletics meeting was 3136.The ratio child tickets sold : adult tickets sold = 17:32.(i) How many child tickets were sold? Why do we need blood? Based on "Civil Disobedience," what statement did Thoreau, like his modern-day successors, hope to make with his imprisonment?He wanted to show the great unfairness of the prison system.He wanted to prove himself as a martyr for his cause.He wanted to suggest that one should be willing to go to great lengths for a belief.He wanted to suggest that imprisonment was the only valid form of political protest. what encourages the farms to get larger PLEASEE HELPPPP MEEE Angela collected the data displayed in the table below. -8,6.2,2.5,12,-2,-1.3,15,-2,0,7What is the mean absolute deviation for this set of data? A 2.94 B 1.25 C 4.59 D 5.688 PLEASE HALPWrite the name from the item bank in the blank for its corresponding match. If you cannot find an answer in your textbook, please use the internet to look it up. Please do not just guess.Items: Anson Jones Chief Bowles Edwin Moore Jack Coffee Hays Stephen F. AustinJose Antonio Navarro Mary MaverickMirabeau Lamar Sam Houston William Goyens1. __________________________________ Born in Virginia, he was governor of Tennessee in the 1820s, President of the Republic of Texas, Senator from the State of Texas, and the Governor of the State of Texas.2. __________________________________ A Georgia-born Texas politician, he was the first Vice-President and the Second President of the Republic of Texas.3. __________________________________ He was a Cherokee chief during the Cherokee-American Wars of the late 1700s, and was a leader of the Texas Cherokees in the early 1800s.4. __________________________________ This 19th century Spanish-born politician represented Coahuila and Texas when it was part of Mexico, a leader of the Texas Revolution, a signer of the Texas Declaration of Independence and the Constitution of the Republic of Texas, and was part of the Texan Santa Fe Expedition in 1841.5. __________________________________ He was an African American who lived in Nacogdoches, Texas, for most of his life. During the Texas Revolution he kept good relations with the Cherokee and served as an interpreter for Sam Houston.6. __________________________________ He was the fourth and final President of the Republic of Texas (1844-1846).7. __________________________________ He was the commander in chief of the navy of the Republic of Texas (1839-1843), leading attacks on Mexico in 1840.8. __________________________________ Nicknames "Bravo-Too-Much," he was a captain in the Texas Rangers, an officer in the Mexican War, and later led a group of "Forty Niners" from Texas to California.9. __________________________________ This person was part of an early group of pioneers who settled San Antonio, and was also an eyewitness to the Council House Fight in 1840.10. __________________________________ In the fall of 1836, he was defeated in a bid for the presidency, but he served as Secretary of State until his death on December 27, 1836. 48/64 reduced to its lowest term Question 30 (5 points) SavedPlease put the following events in the correct order of the date in which theyhappened.The Stamp ActThe Declaration of Independence is issuedThe Battle of Bunker Hill (Breed's Hill)The Battle of Lexington and ConcordFrench & Indian WarKing William's WarThe Second Continental CongressThe Boston MassacreThe First Continental CongressThe Boston Tea Party Why is the sentence grammatically incorrect? It uses a gerund to function as a participle. It places the infinitive phrase in the wrong place. It places the participial phrase in the wrong place. It uses a prepositional phrase to function as an infinitive. (b) Using a named skill from a team sport of your choice (e.g. football, hockey), explain theinput stage of information processing. ok I got it but I think im not sure plsss help!!! What is engaging in behaviors like to get rid of food in your body Explain how the concept of the global village impacts the cultural landscape. What is the slope of the line whose equation is 2y=3x+4 Yoen Guadalajara.A. naciB.nacieronC.nacisteD. nacE.nacimos There is a lock with 5 buttons numbered from 1 to 5. The combination that opens this lock can be set to any sequence of buttons with the length between 1 and 43, inclusive. The order in which the buttons are pressed does not matter. How many ways can the lock combination be set? Near which point would you expect weathered material to form a delta?ABCD Factor the expression completely. 5 - 45x^5