PLEASE HELP ME FILL OUT NUMBER 2 I DID THE OTHER QUESTIONS FOR YOU TO USE

1) The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average rate of 3/4 foot per year.

a) Write an equation in Slope-Intercept form to represent the growth of the trees over time. Let x represent the number of years and let y represent the height (in ft.) of the tree.

Y=3/4x+3

b) What does the y-intercept represent in your equation

Stands for feet Y=3

c) Determine the height of the tree in 3 years.

Y=3/4×3+3=9/4+3=21/4=5.25 feet

2. Could the equation 3x - 4y = - 12 be used to represent the same information in question #1? Explain your reasoning

a) What does the 3 and the 4 in this equation tell us?

b) Using this equation can you tell me how tall the tree will be in 24 years?

c) Using the equation find the x-intercept. What does this mean in this problem?​

Answers

Answer 1

1)

a) The equation Y=3/4x+3 can be used to represent the growth of the trees over time.

b) The y-intercept in this equation represents the starting height of the trees, which is 3 feet.

c) In 3 years, the height of the trees will be 5.25 feet according to the equation.

2)

No, the equation 3x - 4y = -12 cannot be used to represent the same information in question #1. This equation is not in slope-intercept form, which is necessary to represent a linear relationship between two variables.

a) The 3 and the 4 in this equation are coefficients of the variables x and y, respectively. They do not represent any specific value or quantity in the context of the problem.

b) It is not possible to determine the height of the tree in 24 years using this equation because it is not in the correct form.

c) To find the x-intercept, we can set y to 0 and solve for x. This gives us x = -3. The x-intercept in this equation represents the number of years at which the height of the tree is 0 feet. This does not have any meaning in the context of the problem.

Answer 2
The equation you provided for the growth of the trees over time, Y=3/4x+3, is in slope-intercept form and can be used to represent the information provided in the problem.

a) The y-intercept in the equation, represented by the constant 3, stands for the initial height of the trees when they are planted (3 feet tall). The slope of the line, represented by the coefficient of x (3/4), represents the average rate of growth of the trees over time (3/4 foot per year).

b) In 3 years, the height of the trees can be found by substituting 3 for x in the equation and solving for y: Y=3/4*3+3=9/4+3=21/4=5.25 feet.

The equation 3x - 4y = - 12 cannot be used to represent the same information in question #1 because it is not in slope-intercept form. In order to be in slope-intercept form, the equation must have the form y = mx + b, where m represents the slope and b represents the y-intercept.
a) The 3 and 4 in the equation 3x - 4y = - 12 represent the coefficients of the x and y terms, respectively. They do not represent the initial height or the rate of growth of the trees.

b) It is not possible to determine the height of the trees in 24 years using the equation 3x - 4y = - 12 because it is not in the correct form.

c) The x-intercept of the equation 3x - 4y = - 12 can be found by setting y equal to 0 and solving for x: 0 = 3x - 4y, so x = - 4y/3. This means that the x-coordinate of the point where the line intersects the x-axis is - 4y/3. This has no meaning in the context of this problem, as the x-axis represents the number of years and the y-axis represents the height of the trees.

Related Questions

(a) What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.

What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

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Which expression is equivalent to 20x-8y?
Select the correct answer
2(10x+4y)
4(5x-8y)
4(5x-2y)
x(20-8y)

Answers

Answer:

4(5x-2y)

Step-by-step explanation:

You can only take out the 4 because 20 and 8 are divisible by 4. You also can't take out x because it's only next to the 20 in the equation.

Determine whether each number is prime or composite.
1. 41
2. 29
3. 87
4. 36
5. 57
6. 61
7. 71
8. 103
9. 39
10. 91
11. 47
12. 67
please!!!!Can somebody help me

Answers

1.)41 is prime

2.29 is prime

3.87 is composite

4.36 is composite

5.57 is composite

6.61 is prime

7.71 is prime

8.103 is prime

9.39 is composite

10. 91 is composite

√2x – 1- x = −8
How do I solve this equation?

Answers

The solution for the given equation would be [tex]x=8+\sqrt{15},\:x=8-\sqrt{15}[/tex].

What is an equation?

An equation is a statement that two expressions are equal to each other. It is a mathematical sentence that asserts the equality of two expressions. An equation can be written in the form of:

expression_1 = expression_2

The given equation is √2x – 1- x = −8.

[tex]2x=x^2-14x+49[/tex]

[tex]x=8+\sqrt{15},\:x=8-\sqrt{15}[/tex]

Hence, the solution for the given equation would be [tex]x=8+\sqrt{15},\:x=8-\sqrt{15}[/tex].

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HELP ME WITH THIS - FIRST ONE TO ANSWER GETS MARKED BRAINLIEST
Angle A and Angle B are complementary. If Angle A measures 48°, what is the measure of Angle B?

Answers

Answer: 42

Step-by-step explanation:

You can mark him brainliest now

How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show your work and explain your results in writing.

Answers

Answer:

well, you didnt give me any numbers or variables, so ill do it like  this. if the container is the size of a pint, and there are 8 runners, and a pint equals 16 fluid ounces, in turn it should end as that each runner gets 2 fluid ounces of energy drink

Step-by-step explanation:

Q1) A car travels 145 miles in
3 hours and 38 minutes. How
fast did it travel?

Answers

38 minutes / 60 minutes = 0.63

The car traveled for 3.63 hours

Speed = distance/ time

Speed = 145 / 3.63 = 39.94 miles per hour

Round the answer as needed.

A recipe for 2 dozen cookies requires 3 cups of flour. The number of cookies baked varies directly with the amount of flour used.

Question:

How many cups of flour are needed to make 75 cookies?

A) 600

B) 8

C) 938

D) 3618

Answers

2 dozen = 24

24 cookies = 3 cups

24 x 2 = 48

48 cookies = 6 cups

24 x 3 = 72

72 cookies = 9

9 ~  8

   ~

i think the anwser is b. 8

The answer should be B)8

HELP!
4(2x-3)=6x+2
I thought when I simplify it 22x=14 but its wrong

Answers

Answer:

the answer is 1

Step-by-step explanation:

4(2x-3)=6x+2

8x-12=6x+2

+6x   +6x

14x-12 =2

    +12 +12

14x=14

x=1 and don't worry we all make mistakes

The box plot below describes a data set. Which of the following has a value of 18?

Answers

What box plot are you talking about

Answer:

the answer is third quartille

Step-by-step explanation

For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Use the image below for Part A, Part B, and Part C.

Two triangles: GHI and JKL
Both have one similar angle but different side lengths

Part A: Sharon says the triangles above are similar using the AA Postulate. Is she correct?

Part B: Explain the answer from Part A.

Part C: If HI=7, find KL. Show your work.



Please Help!

Answers

The triangle given is similar to using SAS. Sharon is wrong and the value of KL is 14.

What are the triangle similarity criteria?

there are three types of triangle similarity criteria known. those are

AA: Two pairs of corresponding angles are equal.SSS: Three pairs of corresponding sides are proportional.SAS.: Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Given, two Triangle ΔGHI and ΔKLJ. Also, we can see in the figure That ratio of there two known sides is equal and they both have a similar angle.

the ratio of two sides of given triangles

4/8 and 5/10

hence, the ratio of both the side is equal that is 1/2

from the SAS theorem:

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

thus, given triangles are similar.

Since the Ratio of all three sides would be equal.

hence, HI / KL = 1/2

the third side of the triangle JKL, KL is 14.

Therefore, The given triangle is comparable to using SAS. Sharon is mistaken; The value of KL is 14.

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Can u please helppppppppp

Answers

Answer:

Draw a vertical line that goes through the point given.  This will make the two lines perpendicular.  The line given is horizontal, a vertical like would be 90° o the horizontal line.

Step-by-step explanation:

⚠️ Help I don’t understand this one and it’s my last one !! ⚠️

Answers

Answer:

x=4

Step-by-step explanation:

no because x=4 and you can't have multiple answerd

On Friday, Tyler came up with the expression t= -0.5(1-2h) to represent the temperature change. His math teacher came up with the expression t= 4(2h+2) - 7h - 8.5 for the same day. Are these expressions equivalent or not?

Answers

Answer:

no

Step-by-step explanation:

Find the area of the shape shown below.

Answers

Answer:

12.5

Step-by-step explanation:

So this is basically a rectangle. You make the 2 triangles a square.

2.5x2.5=6.25

6.25x2=12.5

please help: find m∠LHF​

Answers

Answer:

17

Step-by-step explanation:

5y - 8 = 9y - 28

-8 = 4y - 28

4y = 20

y = 5

9(5) - 28

45 - 28

17

write an equivalent expression for 3m + 9m

Answers

Answer:

3(m+3m)

Step-by-step explanation:

solve for x

find AC
this is the last question I'm posting ​

Answers

Answer:

x = 15, AC = 25

Step-by-step explanation:

Given a tangent and a secant from a external point to a circle, then

The product of the external part and the whole of the secant is equal to the square of the tangent.

(9)

12(12 + x) = 18² = 324 ( divide both sides by 12 )

12 + x = 27 ( subtract 12 from both sides )

x = 15

(10)

9(9 + 3x + 1) = 15²

9(3x + 10) = 225 ( divide both sides by 9 )

3x + 10 = 25 ( subtract 10 from both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then

AC = 3x + 10 = 3(5) + 10 = 15 + 10 = 25

A square rug measures 8 feet by 8 feet. find the diagonal distance of the rug to the nearest whole number

Answers

This is a right angle triangle and you use the Pythagorean theorem to solve for the hypotenuse (the diagonal)

A^2 + B^2 = C^2
8^2 + 8^2 = C^2
64 + 64 = C^2
128 = C^2
C = square_root (128)
C = 11 (to the nearest whole number)

The diagonal is 11 feet (to the nearest whole number)

A tower that is 103 feet tall casts a shadow 117 feet long. Find the angle of elevation of the sun to the
nearest degree

Answers

Answer:

[tex]\theta=61.68^{\circ}[/tex]

Step-by-step explanation:

Given that,

The height of a tower, h = 103 feet

The height of its shadow, H = 117 feet

The height of tower is perpendicular and the height of shadow is hypotenuse of a right angled triangle. We can use trigonometry such that,

[tex]\sin\theta=\dfrac{h}{H}\\\\\theta=\sin^{-1}(\dfrac{103}{117})\\\\\theta=61.68^{\circ}[/tex]

So, the angle of elevation of the sun is equal to [tex]61.68^{\circ}[/tex].

Please help if the answer is right I will give brainliest. Simplify the radical

Answers

Answer:

[tex]\frac{2\sqrt{6}}{3n^{\frac{3}{2}}}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{8}}{\sqrt{3n^3}}==\frac{\sqrt{8}}{\sqrt{3}n\sqrt{n}}=\frac{2\sqrt{2}}{\sqrt{3}n\sqrt{n}}=\frac{2\sqrt{6}}{3n^{\frac{3}{2}}}[/tex]

Round 7.3084 to 2 decimal places.

Answers

Answer:

[tex] \sf \: 7.31[/tex]

Step-by-step explanation:

Now we have to,

→ round a number to 2 decimal places.

The number is,

→ 7.3084

Let's solve the problem,

→ 7.3084

→ ≈ 7.308

→ [tex] \boxed{ \sf ≈ 7.31} [/tex]

→ ≈ 7.3

Hence, the answer is 7.31.

Melanie answered 18 of
24 questions correctly
on a test. What percent
of her answers were
correct?
|GIVING BRAINLIEST| (no links)

Answers

75 percent

Megan answered 18 questions correctly on a test. That is 75 percent of the total number of questions (24) which were on the test.

75% would be correct

How to answer this question

Answers

The value of x to the nearest degree will be 112°.

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

There are three angles are shown in figure.

That is,

⇒ 59°, 108°, and 81°.

Now, We know that;

Sum of all four angles is 360°.

So, We can formulate;

⇒ 59° + 108° + 81° + x = 360°

⇒ 248° + x = 360°

⇒ x = 360° - 248°

⇒ x = 112°

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please help me out thank you so much whoever does !!

Answers

Answer: Angle c is 80 degrees

Equation: 60+40+x = 180

Step-by-step explanation: First of all, know a triangle equals 180 degrees. You add the angles you already know together and then subtract that number from 180. Then you get angle c. :)

find the measure of angle 1

Answers

Angle 1 = 37 degrees
152 and the angle adjacent to it add up to 180 degrees so
180-152= 28 degrees
All the angles of a triangle add up to 180 degrees so
28 + 115 = 143
180-143 = 37 degrees

What is the surface area of the square pyramid?

Answers

Answer:

16m^2

Step-by-step explanation:

SA = 2bs + b^2

     = 2(2m)(3m) + (2m)^2

     = 16m^2

HELP PLEASE!!!
The circumference of a circular field is 276 yards. What is the diameter of the field?
Round your answer to the nearest hundredth.

Answers

The formula for a circumference is:
C = πd or C = π2r

So we already have the circumference which is 276 yd

276 = πd

We just need to find the diameter, so we divide d/1 on both sides:

d/276 = π

Now we divide 276/1 on both sides:

d = 276/π

Now we solve

d = 87.90

solve: Tan20. Tan 40. Tan 80

plaease help me.....​

Answers

Answer: you need more information to solve

Step-by-step explanation:

Help Plz :)
Hehehehehehehee

Answers

Answer:

Step-by-step explanation:

.

.

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