A redwood tree in King’s Canyon National Park, California has a circumference of 220 inches. Tanner measured the circumference of some other redwoods that had been planted over the last 5 years. His data is recorded below. Write a rule for the data in the table.

Use your rule to predict the circumference of a tree after 50 years of growth.
Use your rule to estimate the age of the tree with a circumference of 221 inches.

A Redwood Tree In Kings Canyon National Park, California Has A Circumference Of 220 Inches. Tanner Measured

Answers

Answer 1

Answer:

A). 101 inches

B). 110 years

Step-by-step explanation:

Years since planting           Circumference          Difference

             1                                        3                               -

             2                                       5                        (5 - 3) = 2

             3                                       7                         (7 - 5) = 2

             4                                       9                        (9 - 7) = 2

             5                                       11                        (11 - 9) = 2

             6                                       13                       (13 - 11) = 2

There is a difference of 2 in every successive term of the circumference.

Therefore, the given sequence is an arithmetic sequence.

Explicit formula of an arithmetic sequence is given by,

[tex]A_n=a+(n-1)d[/tex]

Here a = first term

n = number of terms

d = common difference

From the given table,

[tex]A_n=3+(n-1)2[/tex]

[tex]A_n=2n+1[/tex]

Here [tex]A_n[/tex] = circumference after 'n' years

n = Age of the plant

By this formula,

Circumference of a tree after 50 years,

[tex]A_{50}=2(50)+1[/tex]

      = 101 inches

Age of tree with the circumference = 221 inches,

221 = 2n + 1

2n = 220

n = 110 years


Related Questions

Help please !!

What is the measure of <8

Answers

Answer:

C. 39

Step-by-step explanation:

m∠3 ≅ m∠5

4x - 7 = 6x - 81

-7 = 2x - 81

74 = 2x

37 = x

m∠5 = 6(37) - 81 = 141

m∠8 = 180 - 141 = 39

One month Maya rented 2 movies and 5 video games for a total of $32. The next month she rented 8 movies and 3 video games for a total of $43. Find the rental cost for each movie and each video game.

Answers

Answer: The rental cost for each movie is $3.5  and each video game is $5.

Step-by-step explanation:

Let x= rental cost for each movie

y = rental cost for each movie video game.

As per given,

2x+5y = 32      (i)

8x+3y=43        (ii)

Multiply 4 on both sides of equation (i)

8x+20y = 128     (iii)

Eliminate (ii) from (iii)

17y=85

⇒ y = 5   [divide both sides by 17]

Put this in (i)

2x+5(5)=32

⇒ 2x+25= 32

⇒ 2x= 7

⇒ x  = 3.5    [divide both sides by 2]

Hence, the rental cost for each movie is $3.5  and each video game is $5.

Simplify:
5g (3g + 7g² - 9)



A. 50g⁴ - 45g

B. 15g2 +35g – 45g

C. 8² + 12g³ – 4g

D. 8g + 7g²- 9

E. 5g⁴​

Answers

The answer is B. 15g2 +35g - 45g

Determine whether the relation is a function. (2, -3). (3, 2). (4, 7), (3, 14, (6, 23)
А. yes
В. no
please help, brainliest if right

Answers

Answer:

A: Yes

Step-by-step explanation:

Each input has exactly one output! So each x value has exactly one y output. hope this helps!

6000x50 what is the answer?

Answers

Answer:

300000

Step-by-step explanation:

An easy way to solve this is find 6x5 which is 30 and then add all of the 0s at the end from the equation which is 4 zeros

Someone please help​

Answers

Answer:

I got 25z^2−15z+2

Step-by-step explanation:

But if the answer shown is the correct answer, I think your computer read wrong, because those answers are the exact same :/

Answer:

The answer is 25z^2+2-15z

Step-by-step explanation:

The form one will often see polynomials in is called standard form. It is when the terms are ordered in highest degree to lowest degree. For example, when given the polynomial x4+2x3+x+11, it is in standard form because 4 is the highest power, then 3 and 1.

What is the solution to the following problem??

y=35x

Answers

Answer:

Infinite solutions

Answer:hope u understand it better

Step-by-step explanation:  y=3

We simplify the equation to the form, which is simple to understand

y=3

We move all terms containing y to the left and all other terms to the right.

+1y=+3

We simplify left and right side of the equation.

+1y=+3

We divide both sides of the equation by 1 to get y.

y=3

Please answer both questions I'm running out of coins I'll try to get more!​

Answers

Answer:

3. 2.1            4. 6.4

Step-by-step explanation:

Answer: 2.1

Step-by-step explanation:

Math question please help urgently

Answers

Answer:

0, negative 9 and your welcome

Write an equation in slope-intercept form of the line with the given slope (m) and y-intercept (b). m= 1 b= -1

Answers

Answer:

y = 1x - 1 is the slope-intercept form

Answer:

y=1x-1

Step-by-step explanation:

Slope Intercept Form is y=mx+b where m is the slope, x is the number of x times, b is the y intercept, y intercept is the part of a line where the x is 0 and the y touches a y axis, vice versa for x intercept

What is the nth term rule of the quadratic sequence below?
12
,
17
,
24
,
33
,
44
,
57
,
72
,
.
.
.

Answers

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  a[n] = n² +2n +9

Step-by-step explanation:

First differences are ...

  17-12 = 5; 24-17 = 7; 33-24 = 9 . . . . . . define d1=5

So, second differences are ...

  7-5 = 2; 9-7 = 2 . . . . . . . define d2=2

The coefficient of the n² term is half the second difference (=d2/2). The 0-th term will be smaller than the first term by the difference between the first first difference and the second difference (d1-d2):

  a0 = a1 -(d1 -d2) = 12 -5 +2 = 9

So, the quadratic rule will be ...

  a[n] = n² +9 +kn

for some value of k.

We can find k using the first term of the sequence.

  a[1] = 1² +9 +k·1 = 12

  k = 12 -10 = 2

Then the rule is ...

  a[n] = n² +2n +9

What is the answer to
6-12 divided by (-3)
Evaluate the expression

Answers

Answer:2

Step-by-step explanation:

6-12 =-6

-6/-3=2  mark brainliest please


Someone help me i’ll give brainlest if you answer this one and my other few

Answers

Answer:

A

Step-by-step explanation:

Help ....................

Answers

Answer: 2 (h-f)

Step-by-step explanation:

Factor out 2

h(2)−f(2)

2(h−f)

Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?

Answers

Answer:

C

Step-by-step explanation:

y = 5x + 3

y = 5.5x + 2

0.5x = 1

x = 2

y = 13

Answer:

The answer is y = 13

y = 5.5x + 2

x = 2

(5.5 * 2) + 2

(11) + 2 = Y or 13

1.Your paycheck will take 6.2% out of your check for FICA-social security? So if you gross $250 every 2 weeks how much will you pay in Social security?

I just want to know if the every two weeks part matters

Answers

Yes the 2 weeks part does matter

A six-pack of sports drinks cost 4.20. what is the price per drink?

Answers

Answer:

.70 cents

Step-by-step explanation:

Just divide $4.20 by 6. Hope this helps! God bless.

to find unit rate divide 4.20/6 to get 70 cents

hope this helps and please mark brainliest

What set does this belong to

Answers

2 Answers:

Choice A) Real Numbers

Choice F) Rational Numbers

===============================================

Explanation:

Any number you encounter so far in your math class is a real number, assuming your teacher hasn't covered complex numbers yet. So -7/16 is a real number.

It is also a rational number. Rational numbers are of the form p/q where p and q are integers. The value of q cannot be zero. Since it is rational, that means it's not irrational.

Since -7/16 = -0.4375 has a fractional or decimal part, it is not a whole number, integer, or natural number. Those numbers only deal with values that don't have any fractional parts.

A) real numbers
F) rational numbers
Hope this helps!!

which one?
a b c or d?​

Answers

Answer:

If you look up the equation on google there is a calculator for that and you should get ur answer there

Step-by-step explanation:

PLEASE HELP ME PLEASE ILL GIVE BRAINLIEST AND ALOT OF POINTS

Answers

The answer is 2/3!!!

Answer:

Write the fraction in simplest form.

− 7 /12

Step-by-step explanation:

I looked it up on Math_Way

Estimate 1189-597. Show your working.

Answers

Answer:

400

Step-by-step explanation:

1189 becomes 1000

597 becomes 600

therefore 1000-600= 400

I am not sure so please let me know



please help o need to know the slope!​

Answers

It’s A, rise over run becomes negative three, and the y intercept is 2

Answer:

A

Step-by-step explanation:

100% slope is -3 because you need to move down 3 times which is -3 and move to the right once which is 1

Slope= rise/run

Slope=-3/1 which equals -3

y-intercept= 2 because you just look at the y-axis and see any points that connects to it while the x is zero

Olivia baked 16 mini-loaves of banana bread to be sliced for snacks at a craft fair. She will place an equal number of loaves in 3 different locations. What if Olivia wants to put only whole loaves at each location? How many loaves will be at each location?

Answers

Answer:

The number of whole loaves at each location = 5 loaves

Step-by-step explanation:

This problem is essentially testing your ability to use simple division within remainders, and the number of whole loaves is calculated as follows:

Numer of loaves of bread = 16

number of locations = 3

next, we will divide the number of loaves by the number of locations since Olivia placed an equal number of loaves in 3 different locations:

[tex]= \frac{16}{3} = 5\frac{1}{3}[/tex]

This means that there will be 5 whole loaves and 1 loaf that will be divided equally into the three places.

Therefore, the number of whole loaves at each location = 5 loaves

but remember that there will be a remainder of 1 loaf.

a music store marks up the instruments it sells by 30%.If the store bought a guitar for $45, what will be its store price? Give your answer in money format for example if your answer is 14.2, you should type $14.20. No spaces. *

Answers

Answer:

Selling price= $58.5

Step-by-step explanation:

Giving the following information:

Guitar cost price= $45

Mark up percentage= 30%

To calculate the selling price of the guitar, we need to use the following formula:

Selling price= cost price*(1+mark up)

Selling price= 45* (1+0.3)

Selling price= 45*1.3

Selling price= $58.5

Write your Geometry Statement.
If PQ = 6x - 1 and PR = 15x - 29,
then QR = ?

Answers

Answer:

QR = 21x - 30

Step-by-step explanation:

Iff Q - P - R,

Then

QR = PQ + PR

QR = 6x - 1 + 15x - 29

QR = 21x - 30

what is 11/2 divided by 1/2

Answers

the answer is 11
if you plug into your calculator make sure you use parenthesis

is it always, never, or sometimes​

Answers

Answer:

sometimes

Step-by-step explanation:

What is the value of x?
-5x – 2 = -13

Answers

Answer:

2.20

Step-by-step explanation:

So add +2 both sides that cancels 2 and that makes it -11.00 now divide it by -5 and x is by itself

So when you divide it x=2.20

Hope that helps

Answer:2.2 there you go have a nice day

15-2(7 - x) = 7
(Multi- step equations)
show steps please:)<4​

Answers

Answer:

3

Step-by-step explanation:

15 - 2(7 - x) = 7

collect like terms

-2(7 - x) = 7 - 15

-2(7 - x) = -8

divide both sides by -2

7 - x = -8/-2

7 - x = 4

collect like terns

-x = 4 - 7

-x = -3

dividing both sides by -

x = 3

Answer:

Step-by-step explanation:

15-2(7-x)=7

15-14+2x=7

1+2x=7

2x=6

x=3

If a football field is 100 yd long, how would you find its length in miles?

Answers

Answer:

If it is yards to miles, you divide. Precisely by 1760.

Therefore, if you were to divided 100 bye 1760, it would be around 0.0568182

Step-by-step explanation:

1 yard is 1/1760 fraction of a mile therefore football field will be 0.05682 miles long.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Another example could be kilo gram to gram.

1 mile = 1760 yards.

Divide by 1760

1760/1760 yards = 1/1760 mile

1 yard = 1/1760 mile

Multiply by 100

100 yard = 100/1760 mile

100 yard = 0.05682 mile

Hence "1 yard is 1/1760 fraction of a mile therefore football field will be 0.05682 miles long".

To learn more about unit conversion,

brainly.com/question/11543684

#SPJ2

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