Six 2-foot tall pine tress were planted during the school's observation of Earth Awareness Week in 1990. The trees have grown at an average rate of 3/4 foot per year. What Linear equation in y=mx+b y=mx+b form gives the height of the tree in terms of number of years since they were planted?

Answers

Answer 1

Answer:

The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2

Step-by-step explanation:

In the linear equation, y =mx + b

This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.

In the equation, y represents the height of the trees after x years.

m is the gradient, that is, the rate at which the trees are growing.

and b is the height at the time they were planted, that is, at time x = 0.

From the question,

Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,

b = 2

Also, from the question,

The trees have grown at an average rate of 3/4 foot per year, that is,

m = 3/4

Hence, the equation becomes

y = 3/4x + 2  ([tex]y = \frac{3}{4}x + 2[/tex])

OR

y = 0.75x + 2

Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2.

Answer 2

Equation that represents the height of the tree in terms of number of years since they were planted

[tex]y=\frac{3}{4}x+2[/tex]

Given :

Six 2-foot tall pine tress were planted.

The trees have grown at an average rate of 3/4 foot per year.

We need to frame linear equation that represents the height of the tree in terms of number of years.

Linear equation is y=mx+b

where b is the initial height of the tree

m is the rate of growth of the tree

y is the final height of the tree

and x  represents the number of years

Initial height of the tree is 2 foot

rate of growth is 3/4 foot per year

x is the number of years

Replace all the values inside y=mx+b formula

[tex]y=\frac{3}{4}x+2[/tex]

Equation that represents the height of the tree in terms of number of years since they were planted

[tex]y=\frac{3}{4}x+2[/tex]

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Related Questions

Please help! BRAINLIEST to correct answer!!!

Answers

Answer:

−3x⋅(x+6)⋅(x−8)

Step-by-step explanation:

hp this helps

The number of home runs hit by Hank Aaron, the all-time leader, is 755. This
has an order of magnitude of 4
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

Hope this helped :)

Answer:ITS FALSE!!

Step-by-step explanation:

This is for someone that i was suppost to give brainliest to lol

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Answer:

ok does that mean me dont get brainliest

Step-by-step explanation:

Ava's cat is 3 pounds heavier than her puppy. if their combined weight is 27 pounds, how much does her cat weight

Answers

her cat weighs 16.5 pounds i think

Answer:

12

Step-by-step explanation:

(3+x)+x=27

2x+3=27

2x=24

x=12

write -90 in simplest radical form
please help or i’ll failll

Answers


Search Results
Featured snippet from the web

Simplest radical form means simplifying the radical such that there are no square roots ,cube roots ,etc to find. When simplifying a fraction, if there is a radical, should it always be a numerator?

What are the solutions of the quadratic equation? 2 x^2 – 16 x + 32 = 0

Answers

Answer:

X=4,4

Step-by-step explanation:

2 x^2 – 16 x + 32 = 0

2(x^2-8x+16)=0

X^2-(4+4)X+16=0

x^2-4x-4x+16=0

x(x-4)-4(x-4)=0

(x-4)(x-4)=0

X=4,4

So the solution is X=4,4

1. A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many different ways can the eight machines be arranged in the three spaces available?
2. A quality control randomly selects two of five parts to test for defects. In a group of five parts, how many combinations of two parts can be selected?

Answers

Answer:

a= 336 different ways

b= 10 possible combinations

Step-by-step explanation:

As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight

8 P 3= 336  different ways the eight machines be arranged in the three spaces available.

Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.

5C2 = 10 possible combinations of two parts can be selected.

PLEASEEE HELP ITS FOR A GOOD CAUSE !!

Answers

Answer:

And what cuase might that be...? Jkjk ofc ill help

Step-by-step explanation:

Amswer is C. im 99 percent sure i did the math and to double check i put it into a site ans it said it was C! Hope this helps! :)

Quick answer please!!!! Brodie hires a technician to fix his air conditioning unit. The total cost includes $26.50 for parts and $50.00 per hour the technician works on the job. Which equation can be used to find y, the total cost Brodie pays, given x represents the number of hours the technician works on the job? y=26.50x−50 y = 26.50x + 50 y = 50x + 26.50 y=26.50(x+50)

Answers

Answer:

y = 50x + 26.50

Step-by-step explanation:

we put the x after 50 be cause we don't know how many hours he worked

then add 26.50 the cost of the parts.

Hoped this helped.

Answer:

C: y=50x+26.50

Step-by-step explanation:

I just took the test and i got it right!!! 100%

do i get brainlest

3. Jane Windsor financed a $5,900 ski boat with a 12% add-on interest installment loan for 12 months. Given the loan required a 10% down payment, determine the following: The amount of the finance charge? The amount of the finance charge rebate if the loan were to be paid after the 10th payment?

Answers

Answer:

multiply it by .12 then it says for 12 months, multiply it by 12 then

Step-by-step explanation:



Matt and Chris leave their uncle's house in Phoenix at the same time, Matt drives west on 1-60 at a speed of 79 miles per hour. Chris drives east on 1-60 at a speed of 83 miles per hour.

How many hours will it take them to be 64 miles apart


Two boats leave the same dock in Cairo at the same time. One heads north on the Mississippi River while the other heads south. The northbound boat travels five miles per hour. The

southbound boat goes seven miles per hour How many hours will it take them to be 66 miles apart?

he

Addit

Answers

Answer:

It will take them (Matt and Chris) 0.395 hours to be 64 miles apart

It will take 5.5 hours for the boats to be 66 miles apart

Step-by-step explanation:

We are to determine the time when Matt and Chris will be 64 miles apart, that is, when the total distance traveled by both of them will be 64 miles.

Let the time be t and

Let the distance covered by Matt be S₁ and the distance covered by Chris be S₂.

For Matt,

From the question, Matt drives at a speed of 79 miles per hour

From the formula

Distance = Speed × Time

S = v × t

∴ S₁ = 79×t

S₁ = 79t

For Chris,

From the question, Chris drives at a speed of 83 miles per hour

Using the same formula,

∴ S₂ = 83 × t

S₂ = 83t

To determine when they will be 64 miles apart, that is when S₁ + S₂ = 64 miles.

Hence,

S₁ + S₂ = 79t + 83t

∴64 = 79t + 83t

64 = 162t

t = 64/162

t = 0.395 hours

Hence, it will take them 0.395 hours to be 64 miles apart.

For the boats,

To determine how many hours it will take them to be 66 miles apart, that is when the total distance traveled by the two boats will be 66 miles.

Let the time be t and

Let the distance traveled by the northbound boat be S₁ and the distance traveled by the southbound both be S₂.

From the question,

The northbound boat travels five miles per hour

From the formula

Velocity = Distance / Time

Then, Distance = Velocity × Time

That is, S = v × t

Hence, for the northbound boat,

S = S₁

v = 5 miles per hour

∴ S₁ = 5t

Also from the question,

The  southbound boat goes seven miles per hour

Hence, for the southbound boat

S = S₂

v = 7 miles per hour

∴ S₂ = 7t

To determine when the boats will be 66 miles apart, that is when S₁ + S₂ = 66 miles

Then,

S₁ + S₂ = 5t + 7t

Hence,

66 = 5t + 7t

66 = 12t

t = 66/12

t = 5.5 hours

Hence, it will take 5.5 hours for the boats to be 66 miles apart.

Please hurry please

Answers

Answer:

No

Step-by-step explanation:

it doesn't add up so. No.

hsosjqndksowowlwksmzndnkwoa

Answers

Answer:

What do you want us to answer here?

Step-by-step explanation:

???

Answer correctly and I will mark you brainless ❤️

Answers

The y intercept is b=7/1000

HELLLLP ASAP I NEED SOMEONE TO EXPLAIN PLEASE

Answers

Step-by-step explanation:

When it says you need to prove something

you need to place a statement about what you need to prove

and then a reason for why.

In this case

You need to prove that

Side AB is congruent (identical in form) to Side ED

Consider the first four terms of the sequence below.
-3, -12,-48,-192, ...
What is the 8th term of this sequence?

A.) -42,152
B.) -768
C.) -12,288
D.) -196,608

Answers

Answer: -49,152

Step-by-step explanation

r =4  -192/-48, -48/12

8th term= -3*4^7                 =-3*16384                 =-49,152

The first four terms of the sequence below ; -3, -12,-48,-192, ...therefore, the 8th term of this sequence is -49,152.

What is a geometric sequence and how to find its nth terms?

Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

[tex]a, ar, ar^2, ar^3, \cdots[/tex]

Thus, the nth term of such sequence would be  [tex]T_n = ar^{n-1}[/tex](you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).

The first four terms of the sequence below.

-3, -12,-48,-192, ...

We need to find the 8th term of this sequence

r = 4 = -192/-48, -48/12

8th term = -3 x 4^7                

        = -3 x 16384                

        = -49,152

Learn more about geometric sequence here:

https://brainly.com/question/2735005

#SPJ2

The BHS band needs to make T-shirts for its 35 members and has set aside some money in their budget to pay for them. The members of the band decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on the shirts.




Write an equation that represents the relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order. If you use a variable, specify what it represents.



2. In this situation, which quantities do you think can vary? Which might be fixed?

Answers

Answer:

C = 105 + 50x

2) variable unit = Numbe of color

Fixed unit = number of shirt

Step-by-step explanation:

Given that :

Number of members = 35

Charge per shirt = $3

Charge per color = $50

relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order

Let cost of order = C

Number of color = x

Number of Tshirt ordered = 35

Cost = (charge per shirt * number of shirts) + charge per color * number of colors)

C = (3 * 35) + ($50 * x)

C = 105 + 50x

Number of shirts to be ordered has been fixed tnd this includes it's 35 members

The number of color to be used hasn't been adopted and can thus be varied

Determine the check digit for the UPCs that have these initial 11 digits. a) 73232184434 b) 63623991346 c) 04587320720 d) 93764323341

Answers

Answer:

The check digits

a) x₁₂ ≡ 5( mod 10 )

b) x₁₂ ≡ 2( mod 10 )

c)  x₁₂ ≡ 0( mod 10 )

d)  x₁₂ ≡ 3( mod 10 )

Step-by-step explanation:

Given the data in the question;

We know that the formula for determining the UPCs check is;

3x₁ + x₂ + 3x₃ + x₄ + 3x₅ + x₆ + 3x₇ + x₈ + 3x₉ + x₁₀ + 3x₁₁ + x₁₂ ≡ 0( mod 10 )

now we will substitute the given values to determine the value of the last bit

a)

73232184434

we substitute into the formula

3×7 + 3 + 3×2 + 3 + 3×2 + 1 + 3×8 + 4 + 3×4 + 3 + 3×4 + x₁₂ ≡ 0( mod 10 )

                                                                                          x₁₂ ≡ 5( mod 10 )

b)

63623991346

we substitute into the formula

3×6 + 3 + 3×6 + 2 + 3×3 + 9 + 3×9 + 1 + 3×3 + 4 + 3×6 + x₁₂ ≡ 0( mod 10 )

                                                                                           x₁₂ ≡ 2( mod 10 )

c)

04587320720

we substitute into the formula

3×0 + 4 + 3×5 + 8 + 3×7 + 3 + 3×2 + 0 + 3×7 + 2 + 3×0 + x₁₂ ≡ 0( mod 10 )

                                                                                           x₁₂  ≡ 0( mod 10 )

d)

93764323341

we substitute into the formula

3×9 + 3 + 3×7 + 6 + 3×4 + 3 + 3×2 + 3 + 3×3 + 4 + 3×1 + x₁₂ ≡ 0( mod 10 )

                                                                                         x₁₂ ≡ 3( mod 10 )

What is the slope-intercept form of a line that contains the point (0,3) and a slope=-2

PLZ HELPP

Answers

Answer:

C. y = -2x + 3

Step-by-step explanation:

The equation of a line in slope-intercept form is given as y = mx + b.

m = slope, while b = y-intercept.

We already know that the slope, m, = -2.

We are given a point also as (0, 3). This means, at x = 0, y = 3.

Therefore, the y-intercept, b, = 3, because, the line would intercept the y-axis of the graph at y = 3, and at that point, x = 0.

Thus,

Slope (m) = -2,

y-intercept (b) = 3

Plug these values into y = mx + b

✅The equation of the line in slope-intercept form would be:

y = -2x + 3

Cuales son los gráficos que nos permiten analizar el movimiento rectilíneo

Answers

Step-by-step explanation:

Un modo de describir y estudiar los movimientos es mediante gráficas que representan distancia-tiempo (distancia en función del tiempo), velocidad-tiempo (velocidad en función del tiempo) y aceleración-tiempo (aceleración en función del tiempo).

Can some please help me with this one it would be much appreciated

Answers

πAnswer:

Therefore, the area of a sector of a circle would be 13.5π square units.              

Step-by-step explanation:

Given

[tex]r=9[/tex] miФ = 60°

The area of a sector of a circle is:

A = π r² Ф/360

A = π (9)² 60/360

A = π 81 * 1/6

A = 13.5π square units

Therefore, the area of a sector of a circle would be 13.5π square units.                        

Help, i will do brailiest and everything!!!
a) Four gallons of water weigh 33.4 lb
How much do 7.5 gallons of water weigh?
b) Four gallons of water weigh 33.4 lb
Find the constant of variation.

Answers

Answer: a) 62.591 lb  b) 7.5

Step-by-step explanation:

Answer:

a) 62.625 lb

b) 8.35

Step-by-step explanation:

a) Use a proportion.

4 gal is to 33.4 lb as 7.5 gal is to x lb.

4/33.4 = 7.5/x

4x = 33.4 * 7.5

4x = 250.5

x = 62.625

Answer: 62.625 lb

b) 33.4/4 = 8.35

Tada!!!!!

Study circle C, where diameter TV bisects chord EF.
The diagram as described in the text.


If m∠EKT=(5x + 65)∘, what is the value of x?
Enter the correct value.

Answers

The answer to the question and value is 5

Anybody know the answer to this ?

Answers

it’s 5.8 hope this helps

Answer:

13.08 United States Dollars

So what is the tea on life ??? !!!!!!!!!
ANY chisme

Answers

Answer:

I aint never seen two pretty best friends, its always one of em gotta be ugly

Step-by-step explanation:

Hey, I need this answer in by today. Please help me solve this and give a word by word explanation. Thanks!

Answers

Answer:

185

Step-by-step explanation:

firstly you calculate all in brackets

(280+20)÷3

300÷3

100-15

85

now you calculate 10×5=50

2×50=100

85+100=185

so firstly deal with problem inside the brackets, then you got multiplication and division outside their brackets and finally get 85 +100 =185

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1.
f(x) = −one twelfth(x − 5)2 + 2
f(x) = one twelfth(x − 5)2 + 2
f(x) = −one twelfth(x + 5)2 + 2
f(x) = one twelfth(x + 5)2 + 2

Answers

Answer:

The equation of the parabola with a focus at (-5,5) and a directrix of y = -1 is [tex]y = \frac{1}{12}\cdot (x+5)^{2}+2[/tex].

Step-by-step explanation:

From statement we understand that parabola has its axis of symmetry in an axis parallel to y-axis. According to Analytical Geometry, the minimum distance between focus and directrix equals to twice the distance between vertex and any of endpoints.

If endpoints are (-5, 5) and (-5, -1), respectively, then such distance ([tex]r[/tex]), dimensionless, is calculated by means of the Pythagorean Theorem:

[tex]r = \frac{1}{2}\cdot \sqrt{[-5-(-5)]^{2}+[5-(-1)]^{2}}[/tex]

[tex]r = 3[/tex]

And the location of the vertex ([tex]V(x,y)[/tex]), dimensionless, which is below the focus, is:

[tex]V(x,y) = F(x,y)-R(x,y)[/tex] (1)

Where:

[tex]F(x,y)[/tex] - Focus, dimensionless.

[tex]R(x,y)[/tex] - Vector distance, dimensionless.

If we know that [tex]F(x,y) = (-5,5)[/tex] and [tex]R(x,y) = (0,3)[/tex], then the location of the vertex is:

[tex]V(x,y) = (-5,5)-(0,3)[/tex]

[tex]V(x,y) =(-5,2)[/tex]

In addition, we define a parabola by the following expression:

[tex]y-k = \frac{(x-h)^{2}}{4\cdot r}[/tex] (2)

Where:

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, dimensionless.

[tex]r[/tex] - Distance of the focus with respect to vertex, dimensionless.

If we know that [tex]h = -5[/tex], [tex]k = 2[/tex] and [tex]r = 3[/tex], then the equation of the parabola is:

[tex]y = \frac{1}{12}\cdot (x+5)^{2}+2[/tex]

The equation of the parabola with a focus at (-5,5) and a directrix of y = -1 is [tex]y = \frac{1}{12}\cdot (x+5)^{2}+2[/tex].

Find the length x of QR

Answers

Answer:

4.5

Step-by-step explanation:

If they are symilar their sides are in proportion so write the proportion

[tex]\frac{x}{5} =\frac{2.7}{3}[/tex]   you can pick any other 2 sides as long as you take them in the same order

x= 5*2.7/3=4.5

Does this graph show a function? Explain how you know.

A. No, there are yvalues that have more than one x-value.

B. Yes, there are no yvalues that have more than one x-value

C. Yes, the graph passes the vertical line test. PREVIOUS

D. no the graph fails the vertical line test

Answers

Answer:

D. no the graph fails the vertical line test

I believe SAS is the correct answer but SSS is also possible so which one is it?

Answers

SSS because the middle line is equal on both triangles. They have three sides that are the exact same length.
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