During the first few years of a tree's life, its growth rate is linear. For example, an oak tree grows at a rate of 1.5 feet per year for the first twelve years. Mostafa plants a maple tree in his backyard and measures its height at 4 feet. Two years later, Mostafa measures the tree again and finds that its height is now 6.5 feet. Which statement is correct given this information?

Answers

Answer 1

Answer:

Mostafa's maple tree grows at a slower yearly rate than an oak tree.

Step-by-step explanation:

Given that:

An oak tree grows at a rate of 1.5 feet per year for twelve years;

After 12 year; the oak tree will be = 12 × 1.5 = 18 feet per year.

Now; we are being told that Mostafa plants a maple tree at his backyard and measures its height at 4 feet.

i.e x years  = 4 ft

two years later ; it height is now 6.5 ft

thus;

x year = 4 ft

x + 2 = 6.5 ft

[tex]6.5 * x = (x+2)4\\ \\ 6.5 x = 4x + 8\\ \\ 6.5x-4x = 8\\ \\ 2.5x = 8\\ \\ x = \dfrac{8}{2.5}\\ \\ x = 3.2[/tex]

Thus ; Mostafa first measured the height of the tree when it is 4 ft at the age year of  3.2

So;

if 3.2 year = 4 ft

1 year = x

x  = [tex]\dfrac{4 *1 }{3.2}[/tex]

x  = 1.25 ft

So if an oak tree grows at the rate of 1.5 ft in a year.

Then, Mostafa's maple tree grows at the rate of 1.25 ft in a year.

From the given information in the diagram attached below; we can infer that :

Mostafa's maple tree grows at a slower yearly rate than an oak tree.

During The First Few Years Of A Tree's Life, Its Growth Rate Is Linear. For Example, An Oak Tree Grows

Related Questions

A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?

Answers

Answer: The volume is 480 in^3

Step-by-step explanation:

v= lwh

v= 12 * 5 * 8

v= 480 in^3

Answer:

Volume of the rectangular prism = [tex]480in.^{3}[/tex]

Step-by-step explanation:

Formula for the volume of a rectangular prism= Ah, where A= base area

                                                                                               & h= height

Base area(A)= Length×Width

                    = 12in.×8in.

                    = [tex]96in.^{2}[/tex]

Since height=5in.,

Volume= [tex]96in.^{2}[/tex]×5in.

            = [tex]480in.^{3}[/tex]

Hope this helps!!!

Pls mark as brainliest

3. Which of the following represents a function?
O (5, 1), (5,2), (5, 3), (5, 4)
O (-1,2), (-2, 1), (-1, -2), (-2,-1)
O (3, 4), (-3, 2), (3, 8), (5,5)
O (2, 3), (4, 3), (-2, -3), (-4,-3)

Answers

Answer: D is a function.

Step-by-step explanation:

A function need to have exactly one output to each input.

Answer: D. (2, 3), (4, 3), (-2, -3), (-4,-3)

Step-by-step explanation: This represents a function because they're the opposing of each other. Hope this helps happy holidays! :)

Pierce is making a rectangular frame for a photo collage that has a perimeter of 72.2 72.2 inches. The length of the frame is 20.3 20.3 inches. Write an equation to find the width of the frame, x

Answers

Answer:

[tex] P = 2x+2y[/tex]   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

[tex] P-2y = 2x[/tex]

[tex] \frac{P-2y}{2} =x[/tex]

And replacing we got:

[tex] x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in[/tex]

And the width for this case would be 15.8 in

Step-by-step explanation:

For this case we know that the photo is rectangular. Let's define:

x = the width,  y= the length

And we know that the perimeter is given by:

[tex] P = 2x+2y[/tex]   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

[tex] P-2y = 2x[/tex]

[tex] \frac{P-2y}{2} =x[/tex]

And replacing we got:

[tex] x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in [/tex]

And the width for this case would be 15.8 in

Find the greatest common factor of 24, 40 and 60
Please answer asap ty!!

Answers

Answer:

4

Step-by-step explanation:

Answer:

GCF=4

Step-by-step explanation:

It's 4

24/4=6

40/4=10

60/4=15

You can't go any higher because there is no GCF of 6, 10, and 15.

help me plzzzzzzz!!!!

[tex] {y}^{2} + 14 = 3 {y}^{2} \times 5[/tex]​

Answers

Answer:

[tex]y=1,\:y=-1[/tex]

Step-by-step explanation:

[tex]y^2+14=3y^2\cdot \:5\\\y^2+14-14=3y^2\cdot \:5-14\\y^2=15y^2-14\\y^2-15y^2=15y^2-14-15y^2\\-14y^2=-14\\\frac{-14y^2}{-14}=\frac{-14}{-14}\\y^2=1\\\\y=\sqrt{1},\:y=-\sqrt{1}\\y=1,\:y=-1[/tex]

Answer:

y = ± 1

Step-by-step explanation:

Given

y² + 14 = 3y² × 5, that is

y² + 14 = 15y² ( subtract y² from both sides )

14 = 14y² ( divide both sides by 14 )

1 = y² ( take the square root of both sides )

± [tex]\sqrt{1}[/tex] = y , that is

y = ± 1

Thus y = - 1 or y = 1

find the two values that x can have if x2-12=37​

Answers

Answer:

[tex]x2 - 12 = 37[/tex]

Step-by-step explanation:

Add 12 to both sides:

[tex]x2 - 12 + 12 = 37 + 12[/tex]

Simpilfy:

[tex]x2 = 49[/tex]

Simplify:

[tex]2x^{2} = 49[/tex]

Simplify:

[tex]\frac{2x^{2} }{2} = \frac{49}{2}[/tex]

[tex]x^{2} = \frac{49}{2}[/tex]

For x^2 = f(a) the solutions are x = [tex]\sqrt{f(a)} , - \sqrt{f(a)}[/tex]

x = [tex]\sqrt{\frac{49}{2} } , x = -\sqrt{\frac{49}{2} }[/tex]

-[tex]\sqrt{\frac{49}{2} } = -\frac{7\sqrt{2} }{2}[/tex]

x = [tex]\frac{7\sqrt{2} }{2} , x = -\frac{7\sqrt{2} }{2}[/tex]

Hope I helped, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

[tex]x = 7 \\ x = - 7[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 12 = 37 \\ {x}^{2} = 37 + 12 \\ {x}^{2} = 49 \\ x = \sqrt{49} \\ x = 7 \\ x = - 7[/tex]

So do i divide by 2 each time?

Answers

Divide by two if you are dividing by two...

3. Find x, y, and z.


y
18°
64°​

Answers

Answer:

[tex]y = 18 \: \: degrees[/tex]( vertically opposite angles)

[tex]x = 64 \: \: degrees[/tex]

[tex]y + z + x = 180 \\ 18 + z + 64 = 180 \\ 82 + z = 180 \\ z = 180 - 82 \\ z = 98 \: \: degrees[/tex]

what is the solution of this equqtion? 1w= -17​

Answers

Answer:

-17

Step-by-step explanation:

1w= -17

(1)(-17)=

-17

Answer:

-17

Step-by-step explanation:

in this situations, we normally divide both sides by the number next to the unknown.

1w is the same as saying w

so,

w = -17

Determine the volume of the cylinder

Answers

Answer:

about 904.78

Step-by-step explanation:

πr^2h pi(6)^2 * 8

How to determine the function with the graph?

Answers

i think it’s f (x)= 1

What is the distance between the points (4, 5) and (10, 13) on a coordinate plane?

A. 10 units
B. 14 units
C. 12 units
D. 8 units

Answers

Answer:

10

Step-by-step explanation:

Distance = √(x2-x1)² + (y2-y1)²

d = √(10-4)² + (13-5)²

d = √6² + 8²

d = √36+364

d = √100

d = 10

if the sides of a triangle and area is given. How to find perimeter​

Answers

Answer:

add it up to see if it's 180

Answer:

Well since you have the sides you would add up all of the sides to find the perimeter.

Step-by-step explanation:

What is the end behavior of the polynomial function?

Answers

Answer:

D) as x approaches neg. infinity, y approaches neg. infinity

Step-by-step explanation:

This is because you get to negative x infinity which is towards the right, you see that the y value is going down sharply as well towards the direction of negative infinity in y direction (x direction is right to left and y direction is up and down)

Answer:

D one Edge 2021 ;))

Step-by-step explanation:

What are opposite numbers

Answers

Answer:

Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides/opposite directions

Answer:

Opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0, the identity element of addition. The opposite number for n is written as −n. For example, −7 is opposite to 7, because with −7+7=0

You can say that the opposite number of a number, is the negative version of the positive number. This is what the opposite of 7 is or the opposite of -7.

Need Help Asap offering 10 Points!!!!

Answers

Answer:

13 minutes 30 seconds.

Step-by-step explanation:

You just divide 10.8 by 0.8...

10.8÷0.8=13.5

3. Nine books are to be bought by a student. Some
cost $6 each and the remainder cost $6.50 each.
If the total amount spent was $56, how many
books at each price are bought?​

Answers

Answer:grjjrd

Step-by-step explanation:fdfgdjj

What are the domain and range of the logarithmic
function f(x) = log7X? Use the inverse function to
justify your answers.

Answers

Answer:

The domain of f is x > 0.

The range of f is all real numbers.

The domain of the inverse function is all real numbers.

The range of the inverse function is y > 0.

The domain of f is the same as the

range of the inverse function.

The range of f is the same as the

the domain of the inverse function.

Step-by-step explanation:

this is the sample answer, make sure you rewrite in your own words!

The domain and the range of a function are the set of input and output values of the function

The domain and the range of the function are set of real numbers greater than 0

The function is given as:

[tex]f(x) = log_7(x)[/tex]

The above function is a logarithmic function.

From the properties of a logarithmic function, we have:

The x-values are always greater than 0The y-values are always greater than 0

This means that, the domain and the range of the function are set of real numbers greater than 0

Read more about domain and range at:

https://brainly.com/question/10197594

I need help with this :/ pls help

Answers

Answer:

When you divide by 10^3, the decimal point moves three places to the right. When you multiply by 0.001, the decimal point moves three places to the right. So, both equal .0777

Step-by-step explanation:

Please answer i'll give brainlist
AD and BE are diameters. What is the measure of arc EDC
A. 125 degrees
B. 145 degrees
C. 235 degrees
D. 215 degrees

Answers

Answer:

a

Step-by-step explanation:

A basketball team wants to paint half of a free-throw circle grey. If the radius of the free-throw circle is 5.4 feet, what is the area that will be painted grey? Use 3.14 for , and round to the nearest square foot.

Answers

Answer:

The area which would be painted grey will be "47.7812 ft²".

Step-by-step explanation:

The given values are:

Radius of circle, r = 5.4 feet

Value of pi, π = 3.14

As we know,

Area of Semicircle = [tex]\frac{\pi r^2}{2}[/tex]

On putting the values in the above formula, we get

                               = [tex]\frac{3.14\times (5.4)^{2}}{2}[/tex]

                               = [tex]\frac{3.14\times 29.26}{2}[/tex]

                               = [tex]\frac{91.5624}{2}[/tex]

                               = [tex]45.7812 \ ft^2[/tex]

can net worth be negative?

Answers

Answer:

our net worth can tell you many things. If the figure is negative, it means you owe more than you own. If the number is positive, you own more than you owe. ... Negative net worth does not necessarily indicate that you are financially irresponsible; it just means that – right now – you have more liabilities than assets

Step-by-step explanation:

hope it help

Yes, of course.  A good fraction of the people on earth owe more than they own, so have negative net worth.  

In the USA about 14% of the households have negative net worth.  I would have guessed that credit card debt was the culprit, but it's mostly student loans that drag folks into this category.

translate (-4,5) up 3 units
then reflect the result over the y-axis
what are the coordinates of the final point?

Answers

Answer:

4,8

Step-by-step explanation:

reflecting over y axis is flipping to the other side. and you are going up 3 points so 5+3 is 8. and negative four turns to positive four

what is the area of this triangle?

Answers

Answer:

1099.589 ft^2

Step-by-step explanation:

idk what happen to my answer but some bozo delete my answer but ehre you go again for any who has the same question:)

Someone help me please

Answers

Step-by-step explanation:

Step 1:  Convert degrees into radians

[tex]\frac{degrees}{1}*\frac{\pi }{180}[/tex]

[tex]\frac{52}{1}*\frac{\pi}{180}[/tex]

[tex]\frac{52\pi}{180}[/tex]

[tex]\frac{13\pi}{45}[/tex]

Step 2:  Find the arc length

[tex]S = r\theta[/tex]

[tex]S=(3)(\frac{13\pi}{45})[/tex]

[tex]S = \frac{39\pi}{45}[/tex]

[tex]S=\frac{13\pi}{15}[/tex]

Answer: Option B

(x - 3)² + (x - 1)² = 8
Identify the center and radius of each

Answers

Answer:

The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]

Step-by-step explanation:

I am going to assume you meant to write

[tex](x-3)^2+(y-1)^2 = 8[/tex]

Since if both variables were x it would not be a circle:

Then you can find the center and radius using the general formula of a circle:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

where the center is at (h,k) and r is the radius

Therefore:

The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]

what is the y-intercept of the equation y=-x?

Answers

Answer:

0,0

Step-by-step explanation:

Solve for the height (h) of this triangular prism if the volume is 1080. The

volume of a triangular prism is V = (B)(h), where B is the area of the

triangle. Remember the area of a triangle is 1/2(b)(h). BE CAREFUL

BECAUSE THERE ARE TWO HEIGHTS, ONE FOR THE TRIANGLE AND ONE

FOR THE TRIANGULAR PRISM. *

h

15

8

Answers

Answer: 18

Step-by-step explanation:

Area of triangle = (0.5) × base(b) × height(h)

Base of triangle = 8

Height of triangle = 15

Area of triangle = (0.5) × 8 × 15 = 60

Volume of triangular prism = B × height

Where h = height

B = area of triangle

Volume of triangular prism = 1080

Find the height(h) of the triangular prism

Volume of triangular prism = B × height

1080 = 60 × h

h = 1080 / 60

h = 18

Pleaaaase hellp me will mark u brainly for both answers!!!
Thank u if u do really appreciate it.

Answers

Answer:

1. Option A is correct (A = length x width)

2. Option B is correct ( A = base x height/2)

Hope this helps

:)

Anderson's Nursery was choosing between two different greenhouses. 2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters. Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters. Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters. Which statements are true about the greenhouses? Select two options.

Answers

Question:

Anderson’s Nursery was choosing between two different greenhouses.

2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.

Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.

Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.

Which statements are true about the greenhouses? Select two options.

A) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

D) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

E) The space inside greenhouse 1 is 192 meters cubed greater than the space inside greenhouse 2.

Answer:

Options B & C are correct.

Step-by-step explanation:

Given that both greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.

L = 12 m

w = 12 m

h = 10 m

To find the volume of this rectangular prism, let's use the formula:

V = w*h*l

V = 12 * 12 * 10

V = 1440 m³

Then, greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.

b = 12 x 12

h = 8

The volume of a square pyramid formula is:

V = ⅓*a²h

V = ⅓*12²*8

V = 384 m³

To find the total volume of greenhouse 1, let's add the volume of the rectangular prism and the square pyramid.

V = 12*12*10 + ⅓*12²*8

V = 1440 + 384 = 1824m³

Therefore, the space inside greenhouse 1 is 1824m³

Similarly, greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.

b = 12 m

h = 8 m

height of prism = 12 m

To find the volume of a triangular prism, we have:

½*(bh) * h

V = ½(12*8)*12

V = 576 m³

To find the total volume of greenhouse 2, let's add the volume of the rectangular prism and the triangular prism.

V = (12 * 12 * 10) + (½(12*8)*12)

V = 1440 + 576

V = 2016 m³

Therefore, the space inside greenhouse 2 is 2016m³

From the calculations above the correct options would be:

(B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

(C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

Options A, D and E are wrong.

Option E is wrong because the space inside greenhouse 1 is (1824-2016 = -192) 192 meters cubed lesser than the space inside greenhouse 2.

Answer:

THE ANSWERS ARE.... B AND C

B: The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

C: The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

Step-by-step explanation:

i just took it on EDGE 2020. I hope it helps :)

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