A botanist measures a plant, in feet, at the beginning of each month and notices that the measurements form a
geometric sequence, as shown below.
2, 2.2, 2.42, 2.662, ...
If the first measurement was taken on September 1, about how tall was the plant three months before, on June 1,
assuming the same growth pattern?
0.9 ft
1.5 ft
1.7
2.0 ft

Answers

Answer 1

Answer:

1.5ft , B  for EDGE2020

Step-by-step explanation:

they are being multiplied by 1.1, so if you divide 1.1 down from 2 three times you get 1.5 roughly.

Answer 2

Using a geometric sequence, it is found that the plant's height on June 1 was of 1.5 ft.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, we have that the first term and the common ratio are given, respectively, by:

[tex]a_1 = 2, q = \frac{2.2}{2} = 1.1[/tex]

Hence the rule for the nth term is given by:

[tex]a_n = 2(1.1)^{n-1}[/tex]

June 1st would be equivalent to three months before the term 1, hence it is the term 1 - 3 = -2, then:

[tex]a_{-2} = 2(1.1)^{-3} = 1.5[/tex]

The plant's height on June 1 was of 1.5 ft.

More can be learned about geometric sequences at https://brainly.com/question/11847927

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Related Questions

The fair charges an entrance fee of $10, and each ride costs $2. 1) Write an equation relating number of rides r, to the total cost of attending the fair C. 2) What is the dependent variable? 3) What is the independent variable?​

Answers

Answer:

1) y = $10 + $2x

2) independent variable is the number of rides (x)

3) dependent variable in this equation is the total cost (y)

Step-by-step explanation:

In this scenario, we have two fixed values and two variables which would be the number of rides (x) and the total cost (y). Therefore, since the entrance fee is a fixed value it is added to the cost of each ride which is multiplied by the number of rides represented by the variable (x).

y = $10 + $2x

In this equation, the independent variable is the number of rides (x) because it is a separate value from the equation and does not depend on any other value. The dependent variable in this equation is the total cost (y) which depends on the number of rides that the individual goes on in order to have its own value.

Factor the expression using the GCF. 76d-24=

Answers

Answer:

Factoring the expression [tex]76d-24[/tex] using the GCF we get [tex]\mathbf{4(19d-6)}[/tex]

Step-by-step explanation:

We need to factor the expression using the GCF : [tex]76d-24[/tex]

GCF stands for greatest common divisor.

We need to find the greatest number that is divisible by both terms.

The greatest number that is divisible by both terms is 4

So, Now factoring the term:

[tex]76d-24\\=4(19d-6)[/tex]

So, factoring the expression [tex]76d-24[/tex] using the GCF we get [tex]\mathbf{4(19d-6)}[/tex]

The perimeter P of a rectangle can be found using the
formula P = 2(l+ w), where l represents the length
and w represents the width. Which equation represents
the width in terms of P and l ?
A. w = 2(P - l)
B. w = P- l/2
C. w = 2P - l
D. w = P/2 - l

Answers

Answer:

the answer is b

Step-by-step explanation:

I have a large family. I have just as many brother as I do sisters. Each of my sisters has only half as many sisters as
brothers. How many brothers and sisters are there in my family all together?
(Thanks!)

Answers

Answer:

2 Sisters 3 Brothers

Step-by-step explanation:

Your Welcome :)

Which of the following could be the equation of a line parallel to the line y = 4 ?

A- undefined
B- y=0
C- x=4
D- y=4x

Answers

Answer:

B

Step-by-step explanation:

y = 4 is a horizontal line parallel to the x- axis

A parallel line must also be horizontal with equation

y = c ( c is the value of the y- coordinates the line passes through )

The only equation in this form is

y = 0 ( the equation of the x- axis ) → B

Option B: [tex]y=0[/tex] is the equation of the line parallel to the line [tex]y=4[/tex]

The general equation of a line is [tex]y=mx+b[/tex] where, [tex]'m'[/tex] is the slope of the line and [tex]'b'[/tex] is the constant.

For a line to be parallel with the line [tex]y=4[/tex], the slope must be equals to [tex]0[/tex].

So, [tex]y=0[/tex] is the only option in which the slope is equals to zero and so, it is parallel to the line [tex]y=4[/tex].

Learn more about parallel lines here:

https://brainly.com/question/16701300?referrer=searchResults

Find the sum of the arithmetic progression 1,4,7,10,13,16 .Every third term of the above progression is removed i.e 7,16. Find the sum of the remaining terms​

Answers

Answer:

The sum of the arithmetic progression is 51

The sum of the remaining terms is 28

Step-by-step explanation:

Sum of terms of an arithmetic progression

Being a1 the first term of an arithmetic progression, an its last term, and n the number of terms, the sum of all terms is calculated as:

[tex]\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n[/tex]

We are given the progression:

1,4,7,10,13,16

We need to check if the list of numbers is a progression. The difference between consecutive terms must be equivalent.

Since:

4 - 1 = 3

7 - 4 = 3

10 - 7 = 3

And the rest of the differences also result in 3, the series of numbers has a common difference of 3.

The progression has the following parameters:

a1=1, an=16, n=6

Let's find the sum:

[tex]\displaystyle S_6=\frac{1+16}{2}\cdot 6[/tex]

[tex]\displaystyle S_6=\frac{17}{2}\cdot 6[/tex]

[tex]S_6=51[/tex]

The sum of the arithmetic progression is 51

If we removed the terms 7 and 16, the new sum is:

51 - 7 - 16 = 28

The sum of the remaining terms is 28

Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls. what is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw?​

Answers

I think 27 not sure though

Answer:27

Step-by-step explanation:

in a survey of 1,200 people who owned a type of car 660 said they would buy the same car again

Answers

Answer:

its 1,200 - 660= 540

Step-by-step explanation:

Mixed number equals 16/10

Answers

Answer:

1.6

Step-by-step explanation:

5w 2-6 + 11 help pls​

Answers

Answer: 10w+5

Step-by-step explanation:

Step One- Simplify step by step.

5w(2)-6+11

10w+-6+11

Step Two- Combine Like Terms.

10w+-6+11

(10w)+(-6+11)

10w+5=Answer.

The costs of different sizes of bottled sport drink shown. Which bottle costs the least per ounce 8oz $0.89 16oz $1.09 24oz $1.89 32oz $2.39

Answers

Step-by-step explanation:

second one is a right option . 16 oz $1.09

When a polynomial is divided by 3x - 1, the quotient is x
+ 6 and the remainder r is 5. What is the dividend?

Answers

Answer:

Step-by-step explanation:

Let the polynomial be y.

(3x-1)(x+6) +5 = y

3x^2+18x-x-6=y

y=3x^2+17x-6

Lindsey has 16 inches of ribbon.She buys another 4 lengths, each 5 inches long. How much ribbon does she have now ?

Answers

Answer:

she now has 36 inches of ribbon

Step-by-step explanation:

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣷⣶⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡟⠁⣰⣿⣿⣿⡿⠿⠻⠿⣿⣿⣿⣿⣧⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠏⠀⣴⣿⣿⣿⠉⠀⠀⠀⠀⠀⠈⢻⣿⣿⣇⠀⠀⠀

⠀⠀⠀⠀⢀⣠⣼⣿⣿⡏⠀⢠⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡀⠀⠀

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⠀⠀⢰⣿⣿⡿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⠁⠀⠀

⠀⠀⣿⣿⣿⠁⣿⣿⣿⡇⠀⠀⠻⣿⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣿⣿⠃⠀⠀⠀

⠀⢰⣿⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀

⠀⢸⣿⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠉⢉⣿⣿⠀⠀⠀⠀⠀⠀

⠀⢸⣿⣿⣇⠀⣿⣿⣿⠀⠀⠀⠀⠀⢀⣤⣤⣤⡀⠀⠀⢸⣿⣿⣿⣷⣦⠀⠀⠀

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⠀⠀⠀⠛⠿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠈⠹⣿⣿⣇⣀⠀⣠⣾⣿⣿⡇⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀

Answer:

36 inches of ribbon

Step-by-step explanation:

5x4=20 20+16=36

Please give me the correct answer.​

Answers

Answer:

n=-6/4

Step-by-step explanation:

4n+40=34

-40. -40

4n=-6

divide by sides by 4

so n equals -6/4

Help Please! - 15 Points & Brainliest If Help!

TY!!!

Answers

Answer:

slope is 1/2

Step-by-step explanation:

rise over run.

Answer:

1/2

Step-by-step explanation:

to find the slope, think of it as rise/run. find two points on the line that pass exactly thorugh the intersection of two coordinates, in this case 2,1 and 4,2. then count the rise (1) and run (2)

Is 1.0277 a rational number

Answers

Answer:Its rational

Hope this helps!!

Answer:

yes its a rational number.

Step-by-step explanation: your welcome

4x-1=3(x-1)
pls help!
I will brainliest to whoever helps first
*help pls*

Answers

Answer:

x=-2

Step-by-step explanation:

4x-1=3x-3

-3x. -3x

x-1=-3

+1. +1

x. = -2

The height of a hot air balloon is tracked as it makes its trip from launch to the landing site. Look at the graph to determine what is happening at each labeled segment of the graph. A graph has time on the x-axis and height on the y-axis. Segment A increases, segment B is constant, segment C is decreasing, and segment D is constant. Which label corresponds to the segment showing the balloon descending but not landing? A B C D

Answers

Answer:c is the answer

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Arrow is planning to bake approximately 305 cookies. If 3 pounds of cookie dough make 96 cookies, how many pounds of cookie dough should he make? HELP.

Answers

Answer:

32

Step-by-step explanation:

96÷3=32 biscuits from 1 pound of dough. 305÷32=9.5 pounds of dough for 305 biscuits.

Answer:

96÷3=32 biscuits from 1 pound of dough. 305÷32=9.5 pounds of dough for 305 biscuits. so yeah and no i did not copy and past!

Step-by-step explanation:

A rubber ball bounces after it is dropped from a height of 212 feet, and it
continues to bounce one-half the height from which it last fell. How many
bounces does it take
before the ball falls less than one foot?

Answers

Answer:

C. 8 bounces

Step-by-step explanation:

To solve this, you can write an equation before turning it into an inequality:

y = 212*(1/2^x)

(x is bounces, y is height)

Now you can change it into an inequality to fit the height of less than 1:

1 > 212*(1/2^x)

In order for the right side of the equation to be less than 1, 2^x must be greater than 212 (because 212*(1/212) is 1, so if the denominator is greater, it'll be less than 1). 2^8 is 256, which is greater than 212, so that means x is 8.

Because x represents bounces, that means the ball's height will be under 1 foot after 8 bounces.

GIVING BRAINLIST ASAP

A basketball that sold for $65 is marked up to $70.20. What is the percent of the markup?

Answers

Answer:

8%

Step-by-step explanation:

70.20−65.00=5.20

(5.20/65.00)×100=8

Answer:

8% markup

Step-by-step explanation:

65x=70.20

x = 70.20/65

x = 1.08

to get it as a percentage, you multiply 1.08*100=108%

this means that there is an 8% markup

Three friends go grocery shopping together, and each buys the same kind of strawberries. Akio buys 2 pounds (lb) and pays $1.50. Gordon buys 3 pounds and pays $2.25. Maria buys 4 pounds and pays $3.00. Identify the graph and unit price that represent the strawberry costs.

Answers

Answer:

it will be B

Step-by-step explanation:

because 1 lb is equal to .75 and the graph shows the exact process of if you were to keep adding .75

Answer:

The answer would be A because each pound costs 75 cents.

Step-by-step explanation:

square root of 40???
im deparate

Answers

Answer

HOPFULLY THE EXPLANATION HELPS IF NOT JUST LOOK UP square root of 40???

6.324555320

Step-by-step explanation:

Here we will define, analyze, simplify, and calculate the square root of 40. We start off with the definition and then answer some common questions about the square root of 40. Then, we will show you different ways of calculating the square root of 40 with and without a computer or calculator. We have a lot of information to share, so let's get started!

Square root of 40 definition

The square root of 40 in mathematical form is written with the radical sign like this √40. We call this the square root of 40 in radical form. The square root of 40 is a quantity (q) that when multiplied by itself will equal 40.

√40 = q × q = q2

Is 40 a perfect square?

40 is a perfect square if the square root of 40 equals a whole number. As we have calculated further down on this page, the square root of 40 is not a whole number.

40 is not a perfect square.

Is the square root of 40 rational or irrational?

The square root of 40 is a rational number if 40 is a perfect square. It is an irrational number if it is not a perfect square. Since 40 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 40?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

√40 is an irrational number

Can the square root of 40 be simplified?

You can simplify 40 if you can make 40 inside the radical smaller. We call this process "to simplify a surd". The square root of 40 can be simplified.

√40 = 2√10

How to calculate the square root of 40 with a calculator

The easiest and most boring way to calculate the square root of 40 is to use your calculator! Simply type in 40 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:

√40 ≈ 6.324555320

How to calculate the square root of 40 with a computer

If you are using a computer that has Excel or Numbers, then you can enter SQRT(40) in a cell to get the square root of 40. Below is the result we got with 13 decimals. We call this the square root of 40 in decimal form.

SQRT(40) ≈ 6.3245553203368

What is the square root of 40 rounded?

The square root of 40 rounded to the nearest tenth, means that you want one digit after the decimal point. The square root of 40 rounded to the nearest hundredth, means that you want two digits after the decimal point. The square root of 40 rounded to the nearest thousandth, means that you want three digits after the decimal point.

10th: √40 ≈ 6.3

100th: √40 ≈ 6.32

1000th: √40 ≈ 6.325

What is the square root of 40 as a fraction?

Like we said above, since the square root of 40 is an irrational number, we cannot make it into an exact fraction. However, we can make it into an approximate fraction using the square root of 40 rounded to the nearest hundredth.

√40

≈ 6.32/1

≈ 632/100

≈ 6 8/25

What is the square root of 40 written with an exponent?

All square roots can be converted to a number (base) with a fractional exponent. The square root of 40 is no exception. Here is the rule and the answer to "the square root of 40 converted to a base with an exponent?":

√b = b½

√40 = 40½

How to find the square root of 40 by long division method

Here we will show you how to calculate the square root of 40 using the long division method with one decimal place accuracy. This is the lost art of how they calculated the square root of 40 by hand before modern technology was invented.

Step 1)

Set up 40 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:

40 00

Step 2)

Starting with the first set: the largest perfect square less than or equal to 40 is 36, and the square root of 36 is 6. Therefore, put 6 on top and 36 at the bottom like this:

6  

40 00

36    

Step 3)

Calculate 40 minus 36 and put the difference below. Then move down the next set of numbers.

6  

40 00

36    

4 00  

Step 4)

Double the number in green on top: 6 × 2 = 12. Then, use 12 and the bottom number to make this problem:

12? × ? ≤ 400

The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 3. Now, enter 3 on top:

6 3  

40 00

36    

4 00  

That's it! The answer is on top. The square root of 40 with one digit decimal accuracy is 6.3.

Answer:

20

Step-by-step explanation:

i think

coach and is setting up a 2.7 km race she uses flags to mark off 9 equal sections of the race how far apart should she space the flags to mark off the sections how far apart should coach and space the flags

Answers

Answer:

sdfcvnfkfnfndhxbxbb

jfjdjdnxnnjuhvun9

Step-by-step explanation:

dhdbdbbddnxn

what is the equation for the line that passes through the given point and is parallel to the graph of y=2/3x+19; (-9, 4)​

Answers

Answer:

Step-by-step explanation:

We're given the line

[tex]y = \frac{2}{3}(x) + 19[/tex]

The slope of the line is [tex]\frac{2}{3}[/tex]

We have to find another line with the same slope that goes through the point

[tex](-9, 4)[/tex]. We can solve this by using

[tex]y = mx + b\\y = \frac{2}{3}(x) + b\\4 = \frac{2(-9)}{3} + b\\4 = -6+ b\\b = 10\\\\y = \frac{2}{3}(x) + 10[/tex]

PLEASE HELP I NEED ASAP

Answers

Answer:

no your answer is correct :)

The correct answer is -3/8

PLEASE URGENT
Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x^3+5x^2-8x-10=0

Answers

Answer:

B is the answer

Hope this helped!

can u pls help me with this question ​

Answers

It’s mile. You have to find it per mile


Which expression means the same as "subtract 3 from 7 and then multiply
by 4"?

Answers

(7-3)4 or (7-3)x4 :)

Answer:

(7-3)x4

Step-by-step explanation:

Youre subtracting 3 from 7 so that means that 7 is first because your subtracting 3 and seven is the greater number, it says to then multiply by 4 so that means that you have to put parenthesis around 7-3 because you need to do them first. I hope this makes sense and answers your question! :)

A sofa is on sale for 29% off. The sale price is $213. What is the regular price?

Answers

Answer:

$151.23

Step-by-step explanation:

29/100*213=61.77

213-61.77=151.23

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