A tree is 4 1/2 feet tall, it is expected to grow by 1 3/4 feet per year at this rate how long will it take for the tree to have a height greater than 40 feet

Answers

Answer 1

Answer:

Approximately

n = 21 years

Step-by-step explanation:

Original height of the tree = 4 1/2 feet

Final height of the tree = 40 feet

Common difference = 1 3/4 feet per year

The data shows the question is an arithmetic progression

Tn = a + (n-1) d

Tn = 40

a = 4 1/2

d = 1 3/4

n = ?

Tn = a + (n-1) d

40 = 4 1/2 + ( n - 1) 1 3/4

40 = 9/2 + (n - 1) 7/4

40 = 9/2 + 7/4n - 7/4

40 = 18-7/4 + 7/4n

40 = 11/4 + 7/4n

40 - 11/4 = 7/4n

160-11/4 = 7/4n

149/4 = 7/4n

Divide both sides by 7/4

n = 149/4 ÷ 7/4

= 149/4× 4/7

= 149/7

n = 21.29 years

Approximately

n = 21 years


Related Questions

Hey, I know the correct answer is C. May someone please explain or give me an example why the answer is C.

Answers

Answer:

3ny

Step-by-step explanation:

For this problem, the price of a widget is represented by 'n' amount of dollars.  Additionally, the store was stocked with 4y widgets.

To find the total cost of the widgets sold, we will use the information that at the end of the day, the store only had y widgets remaining.

From here we can say the following to represent the total cost of the widgets sold:

cost = n * (4y - y)

cost = n * (3y)

cost = n3y

You can rewrite this cost to be 3ny as in the answer choice.

Cheers.

Based on the above table, which occupation listed is projected to have the greatest total number of jobs in 2016? a. Network systems and data communications analysts b. Personal and home care aides c. Home health aides d. Personal finance advisors

Answers

Answer:

c. home health aide

Step-by-step explanation:

Answer:

its C, home health aids

Step-by-step explanation:

Evaluate the expression when x=-3.
x^2+5x=-4

Answers

[tex](-3)^{2} + 5(-3) = - 4\\9 - 15 = - 4\\-6 \neq -4[/tex]

This is not possible, as -6 is not equal to -4.

HELPPPPPPPPPPP!!!!!!

Answers

Answer:

2x

Step-by-step explanation:

The width of the outer frame - inner frame

= 8 [tex]\frac{3}{4}[/tex] - 4 = 2x

In a classroom, there are 12 boys and 6 girls. The teacher needs one student to take a note to the
office. What is the probability the teacher randomly picks a girl? Write your answer as a reduced fractior

Answers

Answer:

1/3

Step-by-step explanation:

There are 12 boys and 6 girls, meaning there are 18 students. The girls are 1/3 out of those 18.

For the pair of functions, find (f o g)(x) and (gof)(x).
f(x) = -2x2, g(x) = x + 4

A. (fog)(x) = -2x^2– 8x^2; (gof)(x) = -2x^3 - 8x^2

B. (fºg)(x) = -2x^2– 16x - 32; (g = f)(x) = -2x^2+ 4

C. (fog)(x) = -2x^2 + 4; (g e f)(x) = -2x^2- 16x - 32

D. (fog)(x) = -2x^2- 32; (go 3)(x) = -2x^2 + 4

Answers

d is the correct answer i believe.❤️❤️❤️

What is e in the equation show your work.

Answers

Answer:

e = 25/3

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

Factor the following polynomial completely. x²n - y²n

Answers

Answer:

(n)*(x+y)(x-y)

Step-by-step explanation:

First of all, you take the n out, and then you use the formula of x²- y² and it will equal to (x+y)(x-y).

Answer:

n(x+y)(x−y)

Step-by-step explanation:

1. To factor this equation, first, you can see that both the x^2 and the y^2 have an n next to them.  So, you can take out the n.  You get this: n(x^2-y^2)

2. After you take the n out, you can also factor the (x^2-y^2) since they are both squared (to the second power).  To do this, you simply split the two apart and make sure to include the negative.  You get this, the final answer:

n(x+y)(x-y)

3. You can check it by multiplying out the answer, and once multiplied out, you get the original expression of x^2n-y^2n.

Hope this helped!  Feel free to ask any questions :)

In forest management, conifer trees that exceed a height to base diameter ratio of 80 to 1 are considered unstable. With this standard, if a tree is 24 m tall, what is its base
diameter?

Answers

Answer:

5

yStep-by-step explanation:

The diameter of the base of the tree is 0.3 meters.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that in forest management, conifer trees that exceed a height to base diameter ratio of 80 to 1 are considered unstable and the height of the tree is 24 meters.

The diameter is calculated as:-

Diameter = 24 / 80

Diameter = 0.3 meters

Hence, the diameter of the tree is 0.3 meters.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

4x+2y=8 what is the y intercept

Answers

the y intercept is 4

explanation-
4x+2y=8 (you want to get y by itself, so subtract 4x)

2y=-4x+8 (now divide by 2)

y=-2x+4 so four is the y intercept

Identify ALL of the constants & coefficients of the following equation:
18 - 5W + 7w-4 = 28

Answers

Answer:

constants are 18, -4 and 28

coefficients are -5, 7

Step-by-step explanation:

constants are numbers not attached to variables

coefficients are numbers attached to variables

Please help I'll mark brainlest

Answers

Answer:

x = 76

Step-by-step explanation:

∠ DIJ and ∠ HIJ are adjacent and supplementary, thus

∠ DIJ = 180° - 107° = 73°

The sum of the 3 angles in Δ DIJ = 180° thus

∠ DJI = 180° - (73 + 31)° = 180° 104° = 76°

∠ DJI and x are vertical angles and congruent , thus

x = 76

Answer:

x = 76

Step-by-step explanation:

x = 76

Hey! I'm not sure what the answer is to this..Mind helping me out?

Answers

Answer:

81

Step-by-step explanation:

A perfect square has all side lengths the same so...

9*9=81

Answer:
81

Explanation:
A perfect square has lengths that are all the same, so if one side is 9 the other sides must be 9. Then using the formula to find area (A=LxW) we can multiply 9 x 9 to get a area of 81.
A=9x9
A=81

PLEASE HELP! URGENT!

Answers

The answer is John spent 92 dollars

(x^4−5x^3−8x^2+13x−12)÷(x−6)

Answers

Answer:

x^3+x^2-2x +1- 6/x-6

Step-by-step explanation:

Solve using polynomial division.

Hope this helps.

Answer: This problem has No solution, because you can only combine like terms which there isn't any

  hope this helps

plz mark brainliest

Is 27.14 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is any number that repeats and/or isn't infinite. An irrational number is a number that is infinite and never repeats. (Like Pi.  3.1415926535... etc.) 27.14 isn't infinite so therefore it's rational.

Enter the value 15+(-29)-15-29

Answers

Answer:

-58

Step-by-step explanation:

Answer:-58

Step-by-step explanation:

What is the domain of the given relation?
{(0, – 1), (2, - 3), (3, - 2)}
A
{0, 2, 3}
B
{ -3, - 2, - 1}
C
{ - 3, – 2,3}
D
{ - 1,0,2}

Answers

Answer:

Option (A) : {0,2,3} is the domain

Karina and Perry are cleaning up litter in the park for community service hours. Karina and Perry both claim they have covered the greatest area. Who is correct? Justify your answer using mathematical reasoning.

Answers

Answer:

Perry is correct, she covered the greatest area = 18 square units.

Step-by-step explanation:

Looking at the attached diagram, the shapes are rectangular and they are on grid or graph

Note that on a graph:

1 square box = 1 unit

Area of rectangle = Length × Width

For Karina

The Width = 3 units

The length = 4 units

The area which Karina covered = 3 units × 5 units

= 15 square units

For Perry

The Width = 9 units

The length = 2 units

The area perry covered = 9 units × 2 units

= 18 square units

Therefore, Perry is correct, she covered the greatest area = 18 square units.

Which is the best estimate of
(-3/5)(17 5/6)

A. -18
B. -9
C.9
D.18

Answers

I would say option c

Answer:

c!

Step-by-step explanation:

have a great day! (sorry this was late!)

Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22.
Solve for x. *

Answers

Answer:

         x = 35

Step-by-step explanation:

Collinear points A, B, and C and point B being midpoint of AC means:

AB = BC

12x - 398  =  22

   + 398      + 398

 12x = 420

  ÷12    ÷12  

    x = 35

Which of the following will result in a rational answer? Which number is not a rational number?

Answers

Answer:

what are the #

Step-by-step explanation:??

300,000 to nearest 100,000?

Answers

Answer:

The answer is 3

Step-by-step explanation:

100,000 times 3 equal 300,000.

hope this helps you :)

Subtract: 3 x 106 – 7.197 x 105 = WWW​

Answers

Answer:

w= 7.59

Step-by-step explanation:

What is 8.6x10to the -5 power in standard form

Answers

Answer:

0.000086

Explantion :

Just move the decimal point 5 to the left.

What is the slope the line that passes through the points:
(-6, 14), (2, -18)
O-
4
О O
1
4
4.
-4

Answers

Given Points:

(-6, 14) and (2, -18)

To Find:

The slope of the line that passes through the point.

Slope Formula:

y2 - y1 / x2 - x1

Solution:

-18 - 14 / 2 + 6

= -32 / 8

= -4

Answer:

Option D. -4

f(x) = x – 5x + 2 – 3x + 6
State how many complex and how many zeros the function have?

Answers

I hope that was helpful

Can someone help me solve this???
-2 ( 3x - 4 ) = 26
and pls explain

Answers

-6x + 8 =26
-8. -8
-6x = 18
X= -3

Answer: x =  - 3

Step-by-step explanation:

Distribute the -2 into (3x - 4 ). -6x + 8 = 26Subtract 8 on both sides. - 6x = 18Divide -6 on both sides. x = -3

K-Mart is offering a 15% discount on children's clothing. Susan sees a jumper she likes for $30. How much does she pay for the jumper?​

Answers

The answer is $25.5!

What is the solution of the equation 2/3 + 5x/3= 9 ?

Answers

Answer:

x=5

Step-by-step explanation:

multipy both sides of the equation by 3 to remove the denominator becomes

2+5x=27

subtract 2 from both sides since it's positive

5x=25

divide 5 from both sides

x=5

Please mark Brainlist!!!

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