Exactly 150 years​ ago, students planted a tree in front of their school. Since​ then, the tree has grown 21 meters taller and the distance around the trunk has increased by 3 meters. Use pencil and paper. Describe how you can use this information to find at least two different unit rates. Then find these unit rates.

Answers

Answer 1

Answer: There are 2 different unit rates here:

The increase of the tree's height per year

The increase of the tree's trunk per year

Rate of tree's height per year

= 33m / 150 years = 0.22m per year.

Rate of tree's trunk per year

= 3m / 150 years = 0.02m per year.


Related Questions

Nine wolves, eight female and one male, are to be released into the wild three at a time. if the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed? 28 ways 36 ways 56 ways 84 ways

Answers

The number of ways the first group of three wolves (necessary to include the male wolf) is given by: Option A: 28

What is the rule of product in combinatorics?

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

For the considered case, we have:

There are 3 wolves to be included in first group.There are 8 female wolves, and 1 male wolf.1 male wolf is sure to be in the first group.

So 2 spaces are remaining and are to be filled by 2 of 8 wolves.

Assuming that all 8 of them are distinguishable, choosing 2 of them is done in [tex]^8C_2 = 28[/tex] ways.

The first process of choosing male wolf for first place is done in 1 way only.

And the second process of choosing 2 female wolves can be done in 28 ways(ordering doesn't matter),

and since first and second process have no necessary order, using product rule, we get;

Number of ways of forming first group of wolves = [tex]1 \times 28 = 28[/tex] ways.

Thus, the number of ways the first group of three wolves (necessary to include the male wolf) is given by: Option A: 28

Learn more about product rule here:

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Answer:

The above answer is correct! The right answer is option A. 28 :)

Hope this helped! Brainliest would be greatly appreciated :D

Step-by-step explanation:

The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. Marta's aquarium holds 39 gallons of water and Hank's aquarium hold 51 gallons of water. The aquarium holds two types of fish, fish A and fish B. If Marta bought 3 of fish A and 2 of fish B, and Hank bought 3 of fish A and 4 of fish B, how long is fish A and how long is fish B?

Answers

Answer: Fish A: 9 inches ; Fish B: 6 inches

Step-by-step explanation:

This can be turned into a systems of equation, where x equals the length of fish A and y equals the length of fish B:

3x + 2y = 39 → -3x - 2y = -39

3x + 4y = 51 → 3x +4y = 51

Combine: 0 + 2y = 12 → y = 6 inches.

Plug back in: 3x + 2(6) = 39 → 3x = 27 → x = 9 inches.

Hi can I help me, I’ll reward Branliest!!! :)))

Answers

Answer: Below

Step-by-step explanation:

We find the area of the base. Since this is a rectangular pyramid, the base would be the rectangle on the bottom:

3 * 2 = 6

Next we find the height. If we draw the height, we can see that it makes a right triangle with the base and sides, making the Pythagorean theorem valid.

Sqrt(3.4^2 - 1^2) = 3.3

The equation for volume in a pyramid is (base*height)/3.

(3.3 * 6)/3 = 6.6

Our answers are:

1) 6

2) 3.3

3) 6.6

what energy changes or causes

Answers

Answer: Nearly all thermal energy on Earth originates from the sun and radiates to the surface of our planet, traveling in the form of electromagnetic waves, such as visible light. Materials on Earth then absorb these waves to be used for energy or reflect them back into space. In an energy transformation, energy changes form.

Step-by-step explanation:

helpppp :) 50 points
An equation is shown below:

4(2x – 5) = 4

Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work. (6 points)

Answers

Answer:

x = 3

Step-by-step explanation:

A only 1 solution

B

4(2x - 5) = 4 ( divide both sides by 4 )

2x - 5 = 1 ( add 5 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Answer:

[tex]\boxed{\sf{x=3}}[/tex]

Step-by-step explanation:

Isolate it by the term of x from one side of the equation.

Part A. There will be one solution.Part B.

4(2x-5)=4

First, divide by 4 from both sides.

[tex]\sf{\dfrac{4\left(2x-5\right)}{4}=\dfrac{4}{4}}[/tex]

Then, solve.

4/4=1

Rewrite the problem down.

2x-5=1

Add by 5 from both sides.

[tex]\sf{2x-5+5=1+5}[/tex]

Solve.

1+5=6

2x=6

Divide by 2 from both sides.

2x/2=6/2

Solve.

Divide the numbers from left to right.

6/2=3

x=3

Therefore, the correct answer is x=3.

I hope this helps you! Let me know if my answer is wrong or not.

Select Statistical or Not Statistical to classify each question.
Statistical Not Statistical
How many cups are in 3 gallons?
Statistical – How many cups are in 3 gallons?
Not Statistical – How many cups are in 3 gallons?
How many months are in a year?
Statistical – How many months are in a year?
Not Statistical – How many months are in a year?
How many brothers do you have?

Answers

Answer:

Statistical

Statistical

Not Statistical

Step-by-step explanation:

Not Statistical – How many cups are in 3 gallons?Not Statistical – How many months are in a year?Not Statistical - How many brothers do you have?What is a Statistical question?

These are answered by data collection and has some form of variability while non-statistical question has no variability.

The questions asked above won't have any form of variability and requires no data collection thereby making all of them not statistical.

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2 times some number plus 5 equals 9

Answers

Answer:

x=2

Step-by-step explanation:

2(x)+5 =9
2(2)+5=9

Answer: The number is 2

Creating an Equation:

     The underlined portion of the sentence becomes a part of our mathematical equation in the next line.

           2 times some number plus 5 equals 9

           2 times n plus 5 equals 9

           2n plus 5 equals 9

           2n + 5 equals 9

           2n + 5 = 9

Solving our Equation:

     I will take the equation we created, and isolate variable n to solve.

           2n + 5 = 9

           2n + 5 - 5 = 9 - 5

           2n = 4

           (2n ) / 2 = (4) / 2

           n = 2

Find the value of log 1 2 462 to four decimal places. –8.8517 –0.1130 0.1130 8.8517

Answers

The logarithm value of log 1/2 462 to four decimal places is  –8.8517.

What is a logarithm?

The logarithm is the mathematical inverse function to exponentiation.

The logarithm of a number x is the exponent to another fixed term.

It is given the log of 462 to a base of 1/2.

[tex]log_{0.5} 462 = \frac{log462}{log0.5}[/tex]

 = –8.8517

Therefore, the logarithm value of log 1/2 462 to four decimal places is  

–8.8517.

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Factor: 35b + 15c -10

Answers

Answer:

5(7b+3c-2)

Step-by-step explanation:

Common factor of 5

35b/5= 7b
15c/5= 3c
-10/5= -2

Take the common factor and multiply it by the quotients
5(7b+3c-2)

Help is number 2 correct and help for number one​

Answers

Number 2 is incorrect :

[tex]\frac{-25x^{3}+15x }{5x} = \frac{-25x^{3}}{5x} + \frac{15x}{5x} = -5x^{2} + 3[/tex]

Number 1 :

[tex](-5)^{3} . 13^{-2} . (-5) .13^{9} = -125 . \frac{1}{13^{2}} .(-5).13^{9} = 625 . \frac{13^{9}}{13^{2}} = 625 . 13^{7}[/tex] (i dont think we can bare calculate this cause it;s too big ;-;)

Question 1-5
Sarah is demonstraing the idea that polynomials are closed under addition. Her work and explanation are shown.
Select an equation and phrases to complete the statement.
Part A:
Add 3x4 + 6x - 7 to
Equation A 2x - (2x)2 + 4x-1
Equation B (2x)2 + 4.4x - 9
Equation C (-8x)-2 - (3x)3 +7
Part B:
This is closed because
of the sum are
and the sum is a polynomial.

Answers

This is closed under addition because the sum of the polynomial produces another polynomial.

What is a polynomial?

A polynomial is an expression that involves the addition, subtraction and multiplication of variables.

Polynomials will be closed under an operation if the operation produces another polynomial.

(3x⁴ + 5x - 7) + (2x - (2x)² + 4x - 1) + [(-8x)⁻² - (3x)³ + 7]

= 3x⁴ - 27x³ - 4x² + 9x - 1 + (-8x)⁻²

This is closed under addition because the sum of the polynomial produces another polynomial.

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PLEASE HELP ME! THERE IS A PICTURE

Answers

B. 1/40…. You divide 1/2 by 20 to find out how much hand sanitizer was used on each desk. You can keep change flip meaning keep the 1/2 change the division to multiplication and flip the 20 to 1/20 then multiply. 1/2 by 1/20 which equals 1/40.

Answer:

I think 10

letter C.

Step-by-step explanation:

divide *2

Pls help dont need an explanation just an answer

Answers

At y-intercept x=0.
Y-intercept = 1

(0,1). & (-1 ,-4)

Slope =y2-y1/(x2-c1)
=(-4-1)/(-1-0)
=-5/-1
Slope =5
= (

Answer:

[tex]\boxed{\text{Slope = 5}}[/tex]

[tex]\boxed{\text{y-intercept = 1}}[/tex]

Step-by-step explanation:

To find the slope of the line, we must pick any two points on the line. Using those two points, we will calculate the Rise and the Run. Then, we will use the slope formula (Rise/Run) to find the slope. The y-intercept is the intersection of the point on the y-axis.

[tex]\text{My chosen points: (0,1) and (1,6)}[/tex]

[tex]\text{Rise = 5; Run = 1}[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

[tex]\text{Slope}= \dfrac{\text{Rise}}{\text{Run}}[/tex]

➡ [tex]\bold{Slope = \frac{5}{1} = \underline{5}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Rise = 5; Run = 1}][/tex]

[tex]\underline{........................................................................................................................}[/tex]

[tex]\text{Intersection on y-axis:} \ (0,1)[/tex]

➡ [tex]\text{y-intercept} \rightarrow (0,\bold{ 1}) \rightarrow \bold{\underline{{1}}}}[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡


A bag of candy contains 300 pieces of which 28% are red. How many pieces are not red? *​

Answers

Answer:

The answer is: 84

Step-by-step explanation:

Trust me

good luck

Can someone please help me out with this question? ​

Answers

Answer:

Step-by-step explanation:

Both data sets have a median of 3 and gave similar means, 3.19 and 2.57, so the answer should be B.

The height of the prism is the Blank between the bases.

Answers

Answer:

so how do i find the earea

Step-by-step explanation:

Jill bought 3 pints of blueberries for $3.02 each. What is the best estimate of how much Jill spent

Answers

Answer: 9.06

Step-by-step explanation:

Do; 3.02+3.02+3.02

This adds up to 9.06

Tiana bought 3 video games that each cost
the same amount. The tax on each video
game was $1.29. She paid a total of $68.37
after tax. What was the price of each video
game, before tax?
a

Answers

well, we know she paid a total after tax of $68.37, we also know that each game had a tax of $1.29, so 3 games that'll be 3 * 1.29 = 3.87.

so if we take out the tax from 68.37, that'll be 68.37 - 3.87 = 65 bucks.

we know each game cost the same amount so 65 ÷ 3 ≈ 21.67 before tax.

Tiana bought 3 video games at a cost of $22.36 each, before tax. The total amount paid after tax was $68.37.

Given that,

Tiana bought 3 video games.

The cost of each video game was the same.

The tax on each video game was $1.29.

Tiana paid a total of $68.37 after tax.

To find the price of each video game before tax,

Start by subtracting the total tax from the total amount paid.

Tiana paid a total of $68.37 after tax and the tax on each video game was $1.29.

So, subtract the tax from the total amount to get the price before tax.

$68.37 - $1.29 = $67.08.

Since Tiana bought 3 video games,

Divide the total price before tax by 3 to find the price of each video game.

$67.08 ÷ 3 = $22.36.

Hence, the price of each video game before tax was $22.36.

To learn more about subtraction visit:

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#SPJ3

In the figure below, mR is 66°, and mT is 130°. Note: Figure is not drawn to scale. What is mQ? A. 24° B. 50° C. 64° D. 116°

Answers

Answer:

b

Step-by-step explanation:

i just think so correct me if im wrong

I DONT KNOW WHAT IS 89090x908

Answers

Answer:

80 893 720

Step-by-step explanation:

hope dis helps!!!!

Two rectangles share a common side as shown.
Determine whether each expression can be used to determine the
total area, in square feet, of the two combined rectangles.
ft
Select Yes or No for each expression.
7.52 + 20
o Yes
Ο Νο
*
7.5 ft
x ft
27.5 + 2
Yes
Ο Νο
20 (7.5 + x)
o Yes
Ο Νο
150 + 3
Yes
Ο Νο
202 + 150
O Yes
No

Answers

Answer:

yes they are

Step-by-step explanation:

graph "-3n+4<25" on a line plot

Answers

Answer:The solution is in the attached file

Step-by-step explanation:

What is the answer for this question?

Answers

Answer:

64 cm³

Step-by-step explanation:

The volume of a cube is an edge cubed. Since all the sides/edges are the side, you do 4 * 4 * 4 which gets 64

If 75% of a number is 15, find 15% of that number.

Answers

[tex]0.75x = 15[/tex]

[tex]x = \frac{15}{0.75} = 20[/tex]

[tex]0.15(20) = 3[/tex]

Answer: You can use the definition of percentage and the proportions to solve this question. 75% means 75/100, the you want to know which fraction of 15 equals 75/100, which is to solve this proportion: 75/100 = 15/x. Solving for x, x = 15 * 100 / 75 = 20. You can check that the 75% of 20 is equal to 15: 20 * 75% = 20*75/100 = 15. So, the answer is 20.

Step-by-step explanation:

Find the area of the trapezoid.
95 cm
133 cm

Answers

Answer: A=a+b

 2h=95  

2·13.5=675

Step-by-step explanation:

Answer:

D 57.5

Step-by-step explanation:

9.5 + 13.5 = 23

23 x 5 = 115

115 divided by 2 is 57.5

A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. They took a random sample of 140 sick days taken and recorded the day of the week for each sick day. Here are the results:

Answers

Answer:

0.2

Step-by-step explanation:

Given the data :

Day : Mon Tue Wed Thu Fri Sat Sun

# of sick days 22 11 16 17 21 28 25

The expected count of sick days taken on Saturday is obtained thus :

Expected count = (row total * column total) / overall total

Here, the table is just one way :

Hence, we use :

Observed value / total days

Hence,

Expected count on Saturday = sick days on Saturday / total sick days

Expected count on Saturday = 28 / (22+11+16+17+21+28+25)

Expected count on Saturday = 28 / 140

= 0.2

What points should I circle and in which point do they intersect?

I WILL MARK BRAINLIEST AND GIVE THANKS

Answers

Answer:

[tex]\displaystyle [3, -2][/tex]

Explanation:

All you do is substitute three in for [tex]\displaystyle x[/tex]to get the y-coordinate of [tex]\displaystyle -2.[/tex]This means that these equations meet at the ordered pair of [tex]\displaystyle [3, -2].[/tex]

I am joyous to assist you at any time.

You have 80 grams of tellurium how much will be left after 8 months if it’s half-life is 2 months?

Answers

Answer:

5 grams.

Step-by-step explanation:

First, find out how many half-lives have passed. Divide the number of months by the length of a half-life.

8÷2=4

4 half-lives have passed.

Now figure out how much tellurium will be left after 4 half-lives have passed. Multiply the starting amount of tellurium by [tex]\frac{1}{2}[/tex] a total of 4 times.

80 · [tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{2}[/tex]  = 5

That calculation could also be written with exponents

80 · [tex](\frac{1}{2} )^{4}[/tex] = 5

After 4 half-lives, the amount of tellurium left will be 5 grams.

hello, me again polease help me with this, and show work

Answers

Answer:

Hope it helps u

Step-by-step explanation:

1.7

1.749

1.75

1.775

1.796

1.84

Answer:

the order would go 1.7, 1.749, 1.75, 1.775, 1.796, then 1.84.

Step-by-step explanation:

becuase if you ignore how long the numbers are, and focus on numerical order like 1, 2, 3, and apply that to this, this becomes the order.

Pls help me
AND

PLS FOLLOW THE RULES

TROLL FOR POINTS= REPORT

FIRST AND CORRECT ANSWER= BRAINLIEST

( NO LINKS ) at all

Answers

Pythagorean Theorem: a^2 + b^2 = c^2

a = 23 m

b = 11 m

c^2 = (23 m)^2 + (11 m)^2 = 650 m^2

c = sqrt(650 m^2) = 25.5 (rounded to nearest tenth)

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One Miniwarp requires 6.5 kilograms of the raw material Jurislon. Budgeted production of Miniwarps for the next five months is as follows:August23,000 unitsSeptember21,700 unitsOctober23,100 unitsNovember24,300 unitsDecember24,000 unitsThe company wants to maintain monthly ending inventories of Jurislon equal to 20% of the following month's production needs. On July 31, this requirement was not met since only 11,200 kilograms of Jurislon were on hand. The cost of Jurislon is $22 per kilogram. The company wants to prepare a Direct Materials Purchase Budget for the next five months.The total cost of Jurislon to be purchased in August is:_______. Which of the following relationships is symbiotic?A group of ants work together to build an underground nest.A tick latches on to the body of a dog and feeds on the dog's blood.Abee pollinates a flower while feeding on the flower's nectar.A remora attaches to the body of a shark and feeds on scraps when the shark eats.Two male red-winged blackbirds fight over territory.A male bluebird and a female bluebird provide care for their offspring. help me please. lesson 9.3 converse if the pythagorean theorem La Corrida de TorosRead through the following description of bullfighting. Although it is in Spanish, try to get the main ideas of the paragraph. For clarification, feel free to read the English translation that follows the Spanish paragraph.You will be graded on (a) message organization, (b) control of target grammar structures, (c) accuracy of mechanics, (d) control of target vocabulary, (d) and task completion per the World Languages Writing Rubric.La corrida de toros es un deporte popular en Espaa y Mxico. La primera corrida de toros tuvo lugar aos atrs. Originalmente los toreros usaban caballos, pero finalmente terminaron peleando contra los toros a pie. Hay muchos papeles jugados en la corrida de toros. El papel ms importante es el matador. El matador es el torero principal quien tiene la responsabilidad de asombrar al pblico con su valenta, destreza y gracia al pelear con el toro. Al final de la corrida, el matador mata al toro dndole una estocada. Antes de que el matador tome control de la corrida, es ayudado por picadores y banderilleros. 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Originally the bullfighters used horses but eventually they ended up fighting the bulls on foot. There are various roles played throughout the bullfight. The most important role is played by the matador. The matador is the main bullfighter who has the responsibility to amaze the audience with his bravery, skill, and grace in fighting with the bull. At the end of the fight, the matador kills the bull by stabbing him with a sword. Before the matador takes control of the fight, he is assisted by picadores and banderilleros. The picadores cause the bull its first injuries by stabbing the bull and causing loss of blood, thus making it easier for the matador to later kill the bull. The banderilleros further injure the bull by stabbing it with special sticks. Bullfighting is currently filled with controversy. According to its supporters, bullfighting is a cultural and historical tradition that should be continued. 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