A tree grows exactly one half meter in height per year. The tree is currently 8 meters tall. If someone hammers a nail into the tree at a height of exactly 2 meters, how high will the nail be after 12 years of growth

Answers

Answer 1

Answer:

2 meters

Step-by-step explanation:

Given

[tex]a= 8m[/tex] --- initial

[tex]r = \frac{1}{2}m/year[/tex] --- rate

[tex]t = 12\ yrs[/tex]

[tex]Nail = 2m[/tex]

Required

The height of the nail after 12 years

The top of the tree will continue growing at the given rate, however, the height of the nail will remain unchanged.

This is so because when trees grow, they grow from the top; i.e. the heights are increased at the top while the bottom remains unchanged.

Hence, the height of the nail after 12 years in 2m


Related Questions

What is the value of l-6l - l-8l

Answers

Answer:

-2

Step-by-step explanation:

absolute value is the distance from zero. it will never be negative. so -6 is 6 away from zero, -8 is 8 away from zero. you can just take off the negative sign and use the number by itself.

|-6| - |-8|

6 - 8

-2

Answer:

[tex] - 2[/tex]

Step-by-step explanation:

[tex]|−6|−|−8|[/tex]

Simplify each term.

The absolute value is the distance between a number and zero. The distance between −6 and 0 is 6.

[tex]6−|−8|[/tex]

The absolute value is the distance between a number and zero. The distance between −8 and 0 is 8.

[tex]6−1 \times 8[/tex]

Multiply −1 by 8.

[tex]6−8[/tex]

Subtract 8 from 6.

[tex] - 2[/tex]

Hope it is helpful....

I NEED HELP ASAP PLEASE

Answers

Answer:

A and E

Step-by-step explanation:

B and D is unchangeable, species of bears and types of vegetables that existed in the world never changed.

C only consist of one data, temperature of Chicago at noon yesterday only.

If the sequence below is an arithmetic sequence then what are the next two numbers?
Sequence: 3.9,

Answers

The answer would be 4.2 and 5.6

What are the solutions to the equation x^2-4x-5=0?

Answers

Answer:

x = 5 ,  − 1

Step-by-step explanation:

Segment AB is tangent to C. Find AB.
6 + 6
AB=

Answers

The answer to this problem is 7AB+C+6

2/3w = 3/4 what’s the equation?

Answers

Answer: w=9/8

Step-by-step explanation:

Answer:

w=9/8

Hope I got it right

how to write 3600 in babylonian numerals?

Answers

Answer:

Each vertical bar | (pipe) equals a unit and each < (corner wedge or bracket) equals a tenth. The change of power of sixty (60 ^ 1 = 60, 60 ^ 2 = 3600, 30 ^ 3 = 216000, etc.) is represented by a space.

a T-shirt increased in price by 1/7 after the increase it was a priced at £56. what was the original price?​

Answers

Answer: £48

Explanation: divide £56 by 7. each of the seven parts is equal to £8. Subtract £8 from £56 and the original price is £48.

Find the surface area of the triangular prism

Answers

Answer:

96 i think

Step-by-step explanation:

Answer:

96 I think

Step-by-step explanation:

4. What is the greatest common factor of 12
and 30?

Answers

Answer:

6

Step-by-step explanation:

please Help me on this

Answers

What’s your whole entire multiple choice answer on this so I can help you real quick

Solve similar triangles (advanced)
Solve for X
X=?

Answers

Step-by-step explanation:

if x is from B to D then it's 12-2= 10

x= 10

Help!!!!!!!Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Step-by-step explanation:

cos x = 59/95

x = 0.9007

round this and you have your answer

The number of blue fish to red fish in a tank is
proportional. If there are 34 blue fish and 50
red fish in Tank A, how many blue fish are in
Tank B if there are 75 red fish?

Answers

51 blue fish.

If there is 34 to 50 blue to red fish in tank A. Then tank B is 51 to 75. Because 75 is 1.5 times larger than 50 you have to multiply 34 by 1.5 to get 51.

The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.

Answers

Answer:

Volume of cone shape tank  = 461.58 ft³ (Approx.)

Step-by-step explanation:

Given:

Diameter of cone shape tank = 14 feet

Height of of cone shape tank = 9 feet

Find:

Volume of cone shape tank

Computation:

Radius of cone = 14 / 2

Radius of cone = 7 feet

Volume of cone = (1/3)(π)(r²)(h)

Volume of cone shape tank  = (1/3)(3.14)(7²)(9)

Volume of cone shape tank  = (1/3)(3.14)(49)(9)

Volume of cone shape tank  = 1,384.74 / 3

Volume of cone shape tank  = 461.58 ft³ (Approx.)

PLS HELP!! need the answer asap

Answers

The answer would be C) P,D and A

Please help me with this:
The gas meter readings at the beginning and end of a period were:
6
4
9
6

6
7
8
5

The cost of the gas is 13p for each unit.
There is also a fixed charge of £21.45.
Calculate the cost of the gas.
You must show your working.​

Answers

Answer:

£59.02

Step-by-step explanation:

find the amount of gas used: 6785-6496 = 289find the cost of the gas by multiplying the 289 by 13p = 3757p = £37.57add the cost of the gas to the fixed delivery charge £37.57+£21.45 = £59.02

The number of units in meter readings will be 289. Then the cost of the gas will be £59.02.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of units and 'y' be the total cost. Then the equation is given as,

y = 0.13x + 21.45

The number of units is calculated as,

x = 6785 - 6496

x = 289

The cost of the gas will be given as,

y = 0.13(289) + 21.45

y = 37.57 + 21.45

y = £59.02

The number of units in meter readings will be 289. Then the cost of the gas will be £59.02.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

The _________is where the line crosses the vertical axis.

Answers

Answer:

The Y intercept is the point where your line crosses the y-axis.

and always Does.... Well Some time it Dosen't, If It is A different Point

I need the answer pls I will mark brainlist just answer this

Answers

Answer:

The first one is B and the second is C :)

Answer:

C. 12 and A.5

Step-by-step explanation:

The number of people is 12 because 7 people who got 9 and 5 people who got ten ASSUMING this test means at least is more than or equals to

6-1 = 5

what is the solution for
StartFraction 1 Over x EndFraction = StartFraction x + 3 Over 2 x squared EndFraction?

Answers

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

We want the solution to ...

  [tex]\dfrac{1}{x}=\dfrac{x+3}{2x^2}\\\\2x=x+3\qquad\text{multiply by $2x^2$}\\\\\boxed{x=3}\qquad\text{subtract $x$}[/tex]

Answer:

Solution :-

We have to find the value of x in

[tex] \sf \: \dfrac{1}{x} = \dfrac{x + 3}{2x {}^{2} } [/tex]

On cross multiplication

2x² × 1 = x × (x + 3)

2x² = x² + 3x

2x² - x² = 3x

x² = 3x

x × x = 3 × x

x = 3

Given the point (18, -10), apply the rule and tell the image after the translation as an ordered pair with no spaces.

(x,y) --> (x - 11, y - 9)

Answers

Answer:

The answer is (7,-19)

Step-by-step explanation:

Remember, 18 is x, and -10 is y. The rule says to subtract 11 from 18, which would be 7. For y, you add -9 to -10, which would be -19.

Therefore, your answer should be (7,-19)

Hope this helps!

By applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).

What is translation?

Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way.

Given point = (18, -10)

(x, y) --> (x - 11, y - 9)

(18, -10) = (18 - 11, -10 - 9)

New point = (7, -19)

Hence, by applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).

Learn more about translation here

https://brainly.com/question/20426179

#SPJ2

If two expressions have the same factor or base. What happens to the exponents when the expression are dividing

Answers

Answer:

whats the question tho?

Step-by-step explanation:

Which function represents the area of the rectangle? 6x2 – 8x + 36 6x2 – 27x + 36 6x2 – 35x + 36 6x2 + 35x + 36

Answers

Answer:

[tex]Area = 6x^2 - 35x + 36[/tex]

Step-by-step explanation:

Given

[tex]g(x)=3x-4[/tex]

[tex]f(x)=2x-9[/tex]

Required

The area

This is calculated as:

[tex]Area = f(x) * g(x)[/tex]

[tex]Area = (3x -4) * (2x - 9)[/tex]

Open bracket

[tex]Area = 6x^2 - 27x - 8x + 36[/tex]

[tex]Area = 6x^2 - 35x + 36[/tex]

Answer:

6x2 – 35x + 36

Step-by-step explanation:

150 round 2 decimal places

Answers

Answer:

[tex]150 = 150.00[/tex]

A band of 17 pirates stole a sack of gold coins. When they tried to divide the fortune into equal portions, 3 coins remained. In the ensuing brawl over who should get the extra coins, one pirate was killed. The wealth was redistributed, but this time an equal division left 10 coins. Again an argument developed in which another pirate was killed. But now the total fortune was evenly distributed among the survivors. What was the least number of coins that could have been stolen

Answers

Answer:

The least number of coins that could have been stolen is 3,930.

Step-by-step explanation:

In the beginning, there are N coins to be distributed among 17 pirates, and we know that if we divide evenly these coins, there are 3 coins remaining.

Then we can write the total number of coins as a multiple of 17 plus 3.

N = 17*k + 3

where k is an integer.

After that, a pirate is killed, so now we have 16 pirates, and now there are 10 coins left, so now we can write N as a multiple of 16 plus 10:

N = 16*j + 10

where j is an integer.

Finally, having 15 pirates, the total number of coins can be divided evenly, then N is a multiple of 15

N = 15*m

where m is an integer.

So we have these 3 equations:

N = 17*k + 3

N = 16*j + 10

N = 15*m

So we can express equations like:

15*m = 16*j + 10

15*m = 17*k + 3

Where we need to find solutions such that both of these variables are integers.

For the first one we can write:

15*m - 16*j = 10

One way to do it, is to write this like a linear equation:

m = (16*j + 10)/15

Graph this, and find the pairs of points in the line that have bot integer values, or we can just find some values of j such that:

16*j + 10 is a multiple of 15.

For example, with j = 5 we have:

m = (16*5 + 10)/15 = 6

so j = 5 and m = 6 is a possible solution.

Now if we use m = 6 in the other equation:

15*m = 17*k + 3

we can see if k is also an integer:

k = (15*m - 3)/17

replacing m by 6:

k = (15*6 - 3)/17 = 5.1

This solution does not work.

Let's find others:

if j = 20  (at this point we already know that the possible values of j "jump" by 15 units, like 5 + 15 = 20) then:

m = (16*20 + 10)/15 = 22

Then:

j = 20 and  m = 22 is another solution.

Same as before, let's use m = 22 in the equation for k:

k = (15*22 - 3)/17 = 19.2

Let's find another solution for m.

if  j = 35

m = (16*35 + 10)/15 = 38

Using this value of m in the k equation we get:

k = (15*35 - 3)/17 = 33.4

Let's find another solution for m.

if we take j = 50 we get:

m = (15*50 + 10)/15 = 54

Using this in the k equation we get:

k = (15*54 - 3)/17 = 47.5

Eventually, for j = 5  + 15*16 = 245 we get:  (arrived by iteration, just try each time using the previous value of j plus 15)

m = (16*245 + 10)/15 = 262

replacing this in the k equation we can find:

k = (15*262 - 3)/17 = 231.

So the first solution is:

j = 245, m = 262, k = 231

Then:

N = 262*15 = 3,930

The least number of coins that could have been stolen is 3,930.

If a spinner for a game is spun once, there is a 25% chance it will land on
orange. What is the chance that the spinner will not land on orange on both
the first and second spin in a game? Calculate the probability as a decimal
rounded to the nearest TENTH.

Answers

Answer:

[tex]Pr = 0.6[/tex]

Step-by-step explanation:

Given

Let

[tex]O \to Orange[/tex]

So:

[tex]P(O) = 25\%[/tex] --- probability of O

[tex]n=2[/tex] --- Number of spin

Using the complement rule, the probability that a spin will not land on orange is:

[tex]P(O') = 1 - P(O)[/tex]

[tex]P(O') = 1 - 25\%[/tex]

Express as decimal

[tex]P(O') = 1 - 0.25[/tex]

[tex]P(O') = 0.75[/tex]

On two spins, the probability that it will not land on orange is:

[tex]Pr = P(O') * P(O')[/tex]

So, we have:

[tex]Pr = 0.75* 0.75[/tex]

[tex]Pr = 0.5625[/tex]

[tex]Pr = 0.6[/tex] --- approximated

A baseball pitching coach charges $90 for 2.5 hours of training. If you train for 9 hours in one week, how much will that cost for the week, in dollars?

Answers

Answe$324

Step-by-step explanation:

First you divide 9 by 2.5 to get 3.6 which is how many times you practiced for 2.5 hours

Next you multiply 3.6 by 90 to get 324

What the guy above me said

There are 4 oranges, 7 bananas, and 5 apples in a fruit basket. Mansour selects a piece of fruit at random and then
Mahmoud selects a piece of fruit at random. Find the probability that two apples are chosen​

Answers

Answer:1/12

Step-by-step explanation: 5/16 x 4/15 = 20/240= 1/12

Hi there I hope you are having an great day :) There are 4 oranges, 7 bananas, and 5 apples in a fruit basket. Mansour selects a piece of fruit at random and then  Mahmoud selects a piece of fruit at random. Find the probability that two apples are chose. (5/16)*(4/15) Mya selects a fruit and you want it to be an apple so that is 5 apples out of 16 fruits total. After Mya selects one fruit and it is an apple, there is one less fruit and apple. So 5-1/16-1. Since the is also in one case, not two separate ones, you multiply the two fractions so (5/16)*(4/15).

Find the least common denominator for these fractions. 2/7 and 2/5​

Answers

Answer:

Step-by-step explanation:

the least common denominator for the fraction is

7*5=35

since there is no any number that ca divide both the number so multiply them.

I GIVE BRAINLIEST!!! Derek wants to save up for a new baseball glove. The price of the glove with tax is $385. If he can save $65 per month , how many months will it take him to save up for the glove?

Answers

Answer:

6

Step-by-step explanation:

385/65= about 6 but technically its like 5.92307...

Step-by-step explanation:

Price of glove with tax = 385

Money saved per month = 65

Months needed for Derek to save enough money

= 385/65

= 5.923 months

Other Questions
Helpplease! 14 points -Quel bus est-ce qu'on prend?- Le____O A. blanchesO B. blancheO c. blancsO D. blanc WHO CAN BE MY FRIEN??? Consider a random variable Z which has a standard normal distribution (mu = 0, sigma = 1). Choose which of the following values would be equivalent to the following probability: P (Z > 0.54)A. P(Z > 0.54.B. P(Z < 0.54).C. 1 - P(Z < - 0.54).D. 1 - P(Z < 0.54). What is the greatest common factor of 50, 40, and 20? You spin the spinner once.What is P(3)? Help me with the question Mrs.Taylor has cards labeled with rational numbers. *Three cards are labeled -6.35 *One card is labeled -7.53 *Two cards are labeled 8.31 What are the average numbers on the cards? *please help me on this!!* Because they stretch across 4,500 miles, the __________ Mountains are considered the worlds longest mountain range. The area of a triangle is 36 4 5 units squared and the height of the triangle is 9 1 5 units. What is the length of the triangle's base? If 30 men can do a work in 8 days how many men can do the same work in 12 days Essentially lots of rain consistently throughout the year is key to maintaining the large amount of ---------that makes up a rainforest.Animal life ocean life plant life all of the choices 4. The ____ Elaborates in the topic sentence, giving facts, examples, arguments, evidence, anecdotes, definitions, and other details. A. Topic sentence B. Quotes C. Body sentences D. Statistics E. Concluding sentence Which of the following is not an organ in the nervous system?A Brain B Spinal cord C EyesD Stomach PLEASE PLS HELP THANK YOUx = ___ cm How did Jesus describe the church at Philadelphia? Evaluate: f(2) =Helpppp A letter complaint/ reclamation to the English Teacher Randy has 36 tiles.How should he arrange them so that he has the smallest perimeter? A. 4 by 9 rectangle B. 3 by 12 rectangle C. 1 by 36 rectangle D. 6 by 6 rectangle Firm A and Firm B have debt-total asset ratios of 34 percent and 24 percent and returns on total assets of 10 percent and 15 percent, respectively. What is the return on equity for Firm A and Firm B