When Alexander moved into a new house, he planted two trees in his backyard. At

the time of planting, Tree A was 36 inches tall and Tree B was 21 inches tall. Each

year thereafter, Tree A grew by 6 inches per year and Tree B grew by 9 inches per

year. Let A represent the height of Tree At years after being planted and let B

represent the height of Tree Bt years after being planted. Write an equation for each

situation, in terms of t, and determine which tree is taller after 3 years.

Answers

Answer 1

Answer:

The equations for each situation are

A = 36 + 6t

B = 21 + 9t

After 3 years, Tree A is taller.

Step-by-step explanation:

From the question,

Tree A was 36 inches tall and Tree B was 21 inches tall at the time of planting; and

Tree A grew by 6 inches per year and Tree B grew by 9 inches per  year after planting.

For Tree A,

Given a period of t years after planting, the height would have increased by 6t

A = 36 + 6t

For Tree B,

Given a period of t years after planting, the height would have increased by 9t

B = 21 + 9t

To determine, which tree is taller after 3 years,

t = 3

For Tree A

A = 36 + 6t

A = 36 + 6(3)

A = 36 + 18

A = 54 inches

For Tree B

B = 21 + 9t

B = 21 + 9(3)

B = 21 + 27

B = 48 inches

Hence, After 3 years, Tree A is taller.


Related Questions

Which diagram is not the graph of a function? Group of answer choices

Answers

Answer:

c

Step-by-step explanation:

because it is in circular shape

A water feature that could be a source of groundwater for humans is found at a location on a hillside where Earth’s surface is lower than the water table.


Ill mark brainliest


What type of feature might be observed at this location?


spring

aquifer

artesian well

unsaturated zone

Answers

Answer:

aquifer=b

Step-by-step explanation:

aquifer =

b edgu 2020



Mari claims that 2(to the fifth power) × 3² x 5 is a multiple of a number. Is she correct? Explain. ASAP

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer to [tex]2^{5} *3^{2} *5[/tex] is 1440.

I believe she is correct because 1440 can be divided by another number without any remainders.

Combine Like Terms. -13x + 14a - 12x + 7x - 4x *

Answers

Answer:

4a - 22x

Step-by-step explanation:

-13x +14a - 12x + 7x - 4x = 4a - 22x

hope this helps :)

A state forest service is conducting a study of the people who use state-operated camping facilities. The state has two camping areas, one located in the mountains and one located along the coast. The forest service wishes to estimate the average number of people per campsite during a popular weekend when all sites are expected to be used. There are 50 campsites in the mountains and 100 along the coast. From experience, the forest service knows that most sites in the mountains contain from 1-6 people and most sites along the coast contain from 1-10 people. Suppose the forest service can afford to conduct 20 interviews (e.g. they can select 20 campsites) (because they are asking many other questions in addition to number of people using the campsite and they want to do the interviews in person).
Using Neyman allocation, how would you suggest they allocate the 20 interviews among these 2 strata to minimize the standard error of the estimate of the overall average number of people per campsite?

Answers

Answer:

Allocation: 4 samples should be from the mountain and 16 from along the coast.

Step-by-step explanation:

Neyman allocation is technique of sample allocation used in cases of stratified sampling.

The formula to compute the best sample size of each stratum is:

[tex]n_{h}=n\times \frac{(N_{h}\times SD_{h})}{\sum\limits^{k}_{i=1}(N_{i}\times SD_{i})}[/tex]

The information provided is:

[tex]N_{m}=50\\N_{c}=100\\n=20\\[/tex]

Compute the range for the number of people at the mountain campsite as follows:

[tex]R_{m}=6-1=5[/tex]

Then the standard deviation for the number of people at the mountain campsite will be:

[tex]SD_{m}=\frac{R_{m}}{4}=\frac{5}{4}[/tex]

Compute the range for the number of people along the coast campsite as follows:

[tex]R_{c}=10-1=9[/tex]

Then the standard deviation for the number of people along the coast campsite will be:

[tex]SD_{c}=\frac{R_{c}}{4}=\frac{9}{4}[/tex]

Compute the sample size for the mountain campsite as follows:

[tex]n_{m}=n\times \frac{(N_{m}\times SD_{m})}{(N_{m}\times SD_{m})+(N_{c}\times SD_{c})}[/tex]

    [tex]=20\times \frac{(50\times (5/4))}{(50\times (5/4))+(100\times (9/4))}\\\\=20\times 0.2174\\\\=4.348\\\\\approx 4[/tex]

Compute the sample size for along the coast campsite as follows:

[tex]n_{c}=n-n_{m}=20-4=16[/tex]

Thus, 4 samples should be from the mountain and 16 from along the coast.

Line e has a slope of -6/5. Line f has a slope of 6/5. Are line e and line f parallel or perpendicular

Answers

Answer:

none of those

Step-by-step explanation:

to be parallel it needs to be the exact slope

to be perpendicular it would f would look like this [tex]\frac{5}{6}[/tex]

what is 16+48 in distributive property??

Answers

Answer:

un-distribute the GCF of the two numbers.

16(1 + 3)

Distributing we get:

16(1) + 16(3)

16 + 48

Step-by-step explanation:

:)

What is the following equal to 7 times 10^3

Answers

Answer:

7000

Step-by-step explanation:

10^3=1000

1000*7=7000

7000 is answer

1000×7 = 7000

Looking at the picture below, what are two things that you would correct about this student's posture and playing position if you were the teacher.
Please answer ASAP

Answers

Answer:

The Student has good posture on the chin rest but The way that there are not standing straight up and how there holding the bow is incorrect

Step-by-step explanation:

Sitting up straight, turn your head enough that your nose lines up with the left foot. Drop your chin and place the violin so that it's also aligned with your left foot. Hold your spine straight and relax into this position; you should be able to keep the violin steady using only your chin.

I'm not 100 percent sure this correct

Identify the coefficients: -3h - 2h + 6h +9

Answers

Answer:

-23h

Step-by-step explanation:

It’s -3, 2, 6 is the answer

which of the following choices is equal to 22+36

Answers

Answer:

58

Step-by-step explanation:

If k-8= 0, what property justifies k = 8?

Answers

Answer:

5Etxxug

Step-by-step explanation:

64d64s585i is a solution of the linear

If you were Kenny Watson, how would you feel about your brother Byron’s behavior?

AT LEAST 6 sentences

WILL RECIEVE BRAINLIST AND EXTRA POINTS

Answers

Answer:

I (kenny) would be irritated and annoyed that my brother continually treats me unwell and goes without punishment or chastisement. It is all By's fault that the brothers have to visit Grandma Sands. However, even though I would be annoyed by his attitude and actions, I would still love him as a brother because unlike the rest of the world, I know he has a soft side and isn't as horrible as he seems. I might feel unseen or ignored due to the radical and rebellious behavior my brother exhibits. Throughout the book the boys get closer and both are shown to be more than the cliche mean older brother/ bullied little brother. In the book, multiple circumstances bring out qualities in both of the boys that make them more relatable and likeable in general.

how would I graph 9x + 11 > 3(x + 4)-12 +6x ?

Answers

9514 1404 393

Answer:

  shade the entire number line and put arrows at each end

Step-by-step explanation:

Solve for x.

  9x +11 > 3(x +4) -12 +6x

  9x +11 > 3x +12 -12 +6x . . . . eliminate parentheses

  9x +11 > 9x . . . . . collect terms

  11 > 0 . . . . . . . . .  subtract 9x

This is true for all values of x.

The graph would be the entire number line.

Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the appe slices. So he conducted a study where he used a peanut butten oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different votes
Indicate which of the following is the null hypothesis, and which is the alternate hypothesis
a. There food preferences among vole species are independent of one another.
b. There is a relationship between voles and food preference.
c. To test for independence, we need to calculate the Chi-square statistic.
These are the data that Dr. Pagels collected
meadow voles common voles
apple slices 15 21
peanut butter-oatmeal 25 16

Answers

Answer:

Throughout the clarification category elsewhere here, the definition of the concern is mentioned.

Step-by-step explanation:

Null hypothesis

There seems to be no option for consuming peanut butter oatmeal mixture including apple slices with Meadow voles as well as regular voles.  

Alternative hypothesis

Meadow voles tend to consume a combination of peanut butter oatmeal whereas different or specific votes prefer eating slices of apples.

can someone solve this please 5(5t + 1) = 25t – 7

Answers

It’s either no solution or just false depending on the answer choices you have

solving steps:
5(5t+1)=25t-7
25t+5=25t-7
5= -7

which is not true

given: if you go to the water park then you will need to bring sunscreen
given : if you do not bring sunscreen then you will burn
what is the conclusion

Answers

Answer:

bring sunscreen to be safe from the sun

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Answers

Answer:

110d + 80 > 1620

d > 14

Step-by-step explanation:

The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d

Add 80 to this to represent the bonus points.

Use a greater than inequality, because you have to get more than 1620 points.

Put this all together:

110d + 80 > 1620

Then, solve for d:

110d + 80 > 1620

110d > 1540

d > 14

So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.

A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims that 31% of all employees believe their company president possesses low ethical standards. Suppose 20 of a company's employees are randomly and independently sampled and asked if they believe their company president has low ethical standards and their years of experience at the company. Could the probability distribution for the number of years of experience be modelled by a binomial probability distribution?

Answers

Answer:

The correct solution is "0.127128".

Step-by-step explanation:

The given values are:

p = 0.31

n = 20

Now,

[tex]p(8<x<12)=p(x=9)+p(x=10)+p(x=11)[/tex]

                     [tex]=20C_{9}(0.31)^9\times (0.69)^{11}+20C_{10}(0.31)^{10}\times (0.69)^{10}+20C_{11}\times (0.31)^{11}\times (0.69)^{9}[/tex]

[tex]=0.074955+0.037043+0.015130[/tex]

[tex]=0.127128[/tex]

Natalie earned £173 last week and she worked for 25 hours.
How much did she earn per hour

Answers

Answer:

$6.92

Step-by-step explanation:

Divide the total income by the numbers of hours worked

173/25=6.92

someone please help!!!!!!!!!

Answers

Answer:41+108+17=166

And 8×5/6×17=680/30

Step-by-step explanation:I might be wrong bit Hope its right and it helps ;)

answer quick 50 points

Answers

Answer: The 1/10, 0.22, then 1/4.

Second Picture: 9.8, Pie^2, then 99

Answer:

The 1/10, 0.22, then 1/4.

Second Picture: 9.8, Pie^2, then 99

estimate 3,156-2,163 by first rounding each number to the nearest hundred ​

Answers

Answer:

3

,

154

,

163

3,154,163

Step-by-step explanation:

Which of these is the triangle proportionality theorem? First person to answer CORRECTLY gets brainliest

Answers

Answer: A.

Step-by-step explanation: Brainliest plz

f(x) = 4x + 3 and g(x) = x - 2
Solve:
g(f(x)) =

Answers

Answer:

I don't know i just came to get the 20 points THX

Step-by-step explanation:

You should ask your teacher

What is the sum of (2x2 + 5x -3) and (-3x2 -10 + x2)​

Answers

Answer:5x-13

Step-by-step explanation:

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[tex](2 {x}^{2} + 5x - 3) + ( - 3 {x}^{2} + {x}^{2} - 10) = \\ [/tex]

[tex]2 {x}^{2} - 2 {x}^{2} + 5x - 3 - 10 = [/tex]

[tex]5x - 13[/tex]

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There are 252 players on 18 teams. How many players are on each team?

Answers

there are 14 players on each team

Answer:

14

Step-by-step explanation:

252 divided by 18 = 14

hope this helps! :D

6.13x7 approximate value
what is the answer​

Answers

I think the correct answer would be 42.91

Suppose you have some money to investfor ​simplicity, ​$1and you are planning to put a fraction w into a stock market mutual fund and the​ rest, ​, into a bond mutual fund. Suppose that​ $1 invested in a stock fund yields after 1 year and that​ $1 invested in a bond fund yields ​, suppose that is random with mean ​0.07(​%) and standard deviation ​, and suppose that is random with mean ​(​%) and standard deviation . The correlation between and is . If you place a fraction w of your money in the stock fund and the​ rest, ​, in the bond​ fund, then the return on your investment is .

Answers

Answer and Step-by-step explanation:

Solution:

Given:

Mean = 0.08

Standard deviation = 0.07

W = 0.75

The return on investment is:

R = W * RS + (1 – W)*RB

Compute the mean and standard deviation:

Mean:

E(R) = E[ W X RS + (1 – W) X RB]

The mean of R is given:

 µ = W * RS + (1 – W)*RB

      = 0.75 X 0.08 + (1 – 0.75) 0.05

      = 0.06 + 0.0125

     = 0.0725

Variance:

Var (R) = var [ w x RS + (1 – W)RB]

Var (R) = W 2 Var (RS )+ (1 –W)2 Var  (RB) + 2w (1-w)cov(RS , RB)

The standard deviation of R is given by:

∂2 = W2 X (0.07)2 + (1 – W) 2 X( 0.04)2 + 2 W (1 – W) X [0.07 X 0.04 X 0.25]

  Where [0.07 X 0.04 X 0.25] is correlation between RS and RB.

Solve for b.
p=9(b-5)

Answers

Answer:

Step-by-step explanation:

p=9(b-5)

p=9b-45

p-9b=-45

-9b=-45-p

b=5+(p/9)

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