A tree is planted and is expected to grow according to the model below, where t is the number of years since the tree was planted and H is the height of the tree, in feet. = 3 + 5 0 ≤ ≤ 100 How many years after the tree is planted does the model predict the height of 65 feet?

Answers

Answer 1

Answer:

20 years

Step-by-step explanation:

Given

[tex]H = 3t + 5[/tex]

[tex]0 \leq H \leq 100[/tex]

Required

Solve for t when H = 65ft

[tex]H = 3t + 5[/tex]

Substitute 65 for H

[tex]65 = 3t + 5[/tex]

Make 3t the subject

[tex]3t = 65 - 5[/tex]

[tex]3t = 60[/tex]

Solve for t

[tex]t = 60/3[/tex]

[tex]t = 20[/tex]

This implies that the duration is 20 years


Related Questions

What is the equation helppp

Answers

Answer:

y=2x+4

Step-by-step explanation:

Answer:

The slope-intercept equation is y=2x+4

Step-by-step explanation:

The y-intercept is where it crosses the y-axis, so 4, and to find the slope find perfect points or pretty points and rise then run.  I took the point (0,4) and found the next pretty point (1,6) and rise/run it. In order to get to the next point  you have to rise 2 and run 1 or 2/1 which is 2, so the slope is 2, then you plug it into the equation y=mx+b the y=intercept is b and the slope is m.  

Harold's car has a fuel tank with 12 gallons of fuel in it. The fiel efficiency of Harold's car is 25 miles per gallon. Write an equation to represent the amount of fuel remaining, f, in Harold's car after driving m miles.

Answers

Answer:

I believe the answer is

f = 25m + 12

Answer: f = 12 - 1/25m

Step-by-step explanation:

I did the quiz!

three hundred eighty-nine billion, nine hundred thirty-six million, two hundred six thousand, seven hundred sixty-seven in standard form

Answers

Answer:

389,936,206,767

Step-by-step explanation:

Answer:

389,936,267,767

Step-by-step explanation:

thats the one

Maria and Don Papace are flying to Florida to explore the possibility of moving there. They will be traveling with their two teenage sons. The table below lists information they have researched on the round-trip airfares that are available for purchase on the dates they have chosen to travel.

Answers

Answer:

5

Step-by-step explanation:

. A rocket carrying fireworks is launched from a hill above a lake. The rocket will fall into lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by h(t) = −16t 2 + 64t + 80, where h is in feet and t is in seconds

Answers

Answer:

Step-by-step explanation:

Since we are not told what to find, we can as well find the time taken by the rocket to reach its maximum height as shown

The rocket reaches its maximum height when the velocity is zero

v = dh/dt

v = -32t+64

Since v = 0 at maximum height

0 = -32t+64

32t = 64

t = 64/32

t = 2secs

Hence the rocket reaches the maximum height after 2secs

Is 3/10 and 2/15 proportional

Answers

Answer:

No

Step-by-step explanation:

3/10 = 6/20 not 2/15

1) Solve by using elimination.
x-3y = 7
3x + 3y = 9

Answers

Answer:

( 3 - 3 )

Step-by-step explanation:

I search up all my the questions people ask me and make sure they are %100 percent correct. If any other questions, ask right away. Have a good night.

b) Wendy and Xavier share money in the
ratio 4:3. Wendy gets £30 more than
Xavier. How much does each receive?​

Answers

Answer:

22.5

Step-by-step explanation:

30/4=7.5

7.5*3=22.5


A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost $21.15.
Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of
glass?​

Answers

Answer:

Your answer is going to be $4.70.

Step-by-step explanation:

21.15/9= 2.35

2.35*2=4.70

Please let me know this is a practice quiz and my teacher is not explained

Answers

Answer:

listen do not stress the practice quiz. practice quizes are not graded and im sure there is time to ask after the quiz where you went wrong just dont stress about it too much. that seems to be making you quite nerveous

Step-by-step explanation:

Answer:

Even I am confused about this. I'm sorry.

Solve for x - Remember to multiply both sides by the reciprocal 2/3 x = 12 *

Answers

Answer:

x=18

Step-by-step explanation:

First, multiple both sides by reciprocal 3/2.

It will look like this: x=12*3/2

Then, simplify:

x=18

Hope it helped.

brainliest for correct answer please help

Answers

Answer:

x=10

Step-by-step explanation:

Perimiter is 2(x+y) with x and y being the two differend sides. First side is 3x and the second is   2x+4. 2(3x+2x+4)=108. 10x+8=108 10x=100 x=10.

The sides are 24 and 30

Please mark brainliest hope this helps :D

Answer:

x=10

Step-by-step explanation:

Since this is a rectangle, we know that the values of opposite sides are equal and that the perimeter is all of the sides' values combined. Therefore:

2(2x+4)+2(3x)=108

First, we need to distribute the 2s on the left side.

4x+8+6x=108

Combine like terms.

10x+8=108

Subtract the 8 from both sides.

10x=100

Divide by 10.

x=10

HTH :)

A motel rents double rooms at $34 per day and single rooms at $27 per day. If 26 rooms were rented one day for a total of $807, how many rooms of each kind were rented? system of equations

Answers

Let, number of double rooms and single rooms are d and s.

d + s = 26     ....1 )

Hotel rents double rooms at $34 per day and single rooms at $27 per day.

34d + 27s = 807   ....2)

Solving equation 1 and 2, we get :

34( 26 - s ) + 27s = 807

884 - 34s + 27s = 807

7s = 77

s = 11

And d = 26 - 11 = 15

Therefore, number of double rooms and single rooms are 15 and 11.

Hence, this is the required solution.

A receipe makes 3 dozen (36) muffins. You only want to make one dozen. How much of the original recipe should you make.

Answers

Answer:

a third 1/3

Step-by

you only want 1 dozen so its 1 dozen/3 dozen

PLEASE HELP ASAP!!!!
the graph below models an exponential relationship. drag one equation and one table to match the relationship shown.

Answers

Answer: y=-2^x is an equation.

I got the second one wrong.

The base of the exponential relationship that gives the graph that is below

the horizontal x-axis has a negative constant coefficient.

The equation that matches the given relationship is the option; y = -2ˣ

The table that matches the relationship is the option;

[tex]\begin{tabular}{|c|c|c}x&y\\0&-1\\1&-2\\2&-4\end{array}\right][/tex]

Reasons:

Points on the graph are; (0, -1) (1, -2), and (2, -4).

The above points can be presented in a tabular form as follows;

[tex]\begin{tabular}{|c|c|c}x&y\\0&-1\\1&-2\\2&-4\end{array}\right][/tex]

The above table which corresponds with the first table is the table that

matches the relationship of the graph.

By using the equation, y = -2ˣ, we have;

At x = 0, y = -(2⁰) = -1 which gives the point (0, -1)

At x = 1, y = -2¹ = -2, which gives (1, -2)

At x = 2, y = -2² = -4, which gives (2, -4)

The above points are the points on the graph, therefore, the equation is the option; y = -2ˣ

Learn more about exponential functions here:

https://brainly.com/question/2584841

Dominique and Ella are comparing whose jet traveled faster. The graph shows the relationship between the total distance Dominique traveled and the time in hours. The distance Ella traveled after x hours can be represented by the equation y=550x.

Who if anyone, traveled at a faster speed? Explain.

Answers

Answer:

Ella

Step-by-step explanation

Ella travelled faster than Dominique by 50 miles/hr.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have Dominique and Ella are comparing whose jet traveled faster.

The speed of the jet will be equivalent to slope of the line representing the motions.

Dominique's speed = (2200 - 1100)/(4 - 2) = 1000/2 = 500 miles/hr

Ella's equation of motion -

y = 550x

Ella's speed = 550 miles/hr

Therefore, Ella travelled faster than Dominique by 50 miles/hr.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ5

What property would you use to solve. 6x=72

Answers

Answer:

divison i believe

Answer: Multiplication Property of Equality

Write 2x+y=17 in slope-intercept form

Answers

Answer:

Step-by-step explanation:

Let's solve for x.

2

x

+

y

=

17

Step 1: Add -y to both sides.

2

x

+

y

+

y

=

17

+

y

2

x

=

y

+

17

Step 2: Divide both sides by 2.

2

x

2

=

y

+

17

2

x

=

1

2

y

+

17

2

Answer:

x

=

1

2

y

+

17

2

This can be determined by the concept of straight line. [tex]\bold{y=-2x+17}[/tex]  is the slope-intercept form of [tex]2x+y=17[/tex].

Given: 2x + y = 17  

As, we  know that,

Equation of line is,

 [tex]\bold{y=mx+c}[/tex]

Where, 'm ' gives the slope/gradient of the line and 'c' gives y-intercept.

From the given equation,

[tex]2x+y=17[/tex]  

Solve  it further , we get,

[tex]\bold{y=-2x+17}[/tex]

This is the slope-intercept form of [tex]2x+y=17[/tex].

Here, comparing this with [tex]y=mx+c[/tex], we get

m= -2 ( slope/gradient)  and c= 17  (y-intercept)

So, slope / gradient of line : m= -2.

For further details, please refer this link:

https://brainly.com/question/11824567

Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase in the price of the car? Round the percent to the neartst tenth if necessary.

Answers

Answer: 32.0%

Step-by-step explanation:

The price of car last month = $250

The price of the car this month = $330

Increase in price = $330 - $250 = $80

Percentage increase = (Increase in price/Cost price last month) × 100

= $80$250 × 100

= 0.32 × 100

= 32.0%

The percent of increase in the price of the car is 32.0%.

simplify (3m²n⁴)³ pls it would really help if right you get brainleist

Answers

Answer:

27m^6n^12

Step-by-step explanation:

(3)^3 = 27

m^2^3 = m^6

n^4^3 = n^12

Answer:

27m⁶n¹²

Step-by-step explanation:

that the answer because you just have to multiply, and the ² and ⁴ add it and then you added to ³.

Please help me figure out what the slop-intercept form is. Also, what is the solution to the system?

Answers

Answer:

p=  y=6x+2

Q=  y=-2x+2.5

Step-by-step explanation:

the formula is y=mx+b

M=slope

B=y-intercept

The y-intercept is the number that your line goes through

The slope is two ordered pairs where you use the formula rise over run to find your slope.

Order from greatest to least : 0.8; 8.83; 0.083; 80.83

Answers

Answer:

ok

Step-by-step explanation:

0.083,80.83,8.83,0.8

Hope that helps you.

I’ll give brainliest :)!

Answers

Answer:

-13

Step-by-step explanation:

g(1) = -5*1 = -5

f(g(1)) = f(-5) = 2*(-5) - 3 = -10-3 = -13

Representing linear functions: slope-intercept form

Answers

Answer:

answer should be A

Step-by-step explanation:

please help! 50 points
.Divide 6.410251.6109 1) Group the numerical factors together. 2) Simplify powers of 10 (exponent properties)

Answers

Answer:

Thanks so much

Step-by-step explanation:

plz give me brainiest

Answer:

= 0.312

Solution:

Change the divisor 6.410251 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.

We then have the equations:

2000000 ÷ 6410251 = 0.312

and therefore:

2 ÷ 6.410251.6109 1) = 0.312

Both calculated to 3 decimal places.

             0 0 0 0 0 0 0. 3 1 2

6 4 1 0 2 5 1 2 0 0 0 0 0 0. 0 0 0

           − 0                  

             2 0                

           −   0                

             2 0 0              

           −     0              

             2 0 0 0            

           −       0            

             2 0 0 0 0          

           −         0          

             2 0 0 0 0 0        

           −           0        

             2 0 0 0 0 0 0      

           −             0      

             2 0 0 0 0 0 0 0    

           − 1 9 2 3 0 7 5 3    

                 7 6 9 2 4 7 0  

               − 6 4 1 0 2 5 1  

                 1 2 8 2 2 1 9 0

               − 1 2 8 2 0 5 0 2

                         1 6 8 8

a right angle is formed by the x-axis, and the line y = -3x + 6. what is the length of the hypotenuse?

Answers

Answer:

The length of the hypotenuse is [tex]2\sqrt{10}[/tex] ≅ 6.325

Step-by-step explanation:

∵ A right angle is formed by the x-axis, y-axis and the line y = -3x + 6

∴ The line intersected the x-axis at point (x, 0)

→ To find x substitute y in the equation by 0

∵ 0 = -3x + 6

→ Add 3x to both sides

∴ 0 + 3x = -3x + 3x + 6

∴ 3x = 6

→ Divide both sides by 3

∵ [tex]\frac{3x}{3}=\frac{6}{3}[/tex]

x = 2

∴ The line intersected the x-axis at point (2, 0)

∵ The line intersected the y-axis at point (0, y)

→ Substitute x in the equation by 0 to find y

∴ y = -3(0) + 6

∵ y = 0 + 6

y = 6

∴ The line intersected the xyaxis at point (0, 6)

∵ The endpoints of the hypotenuse are (2, 0) and (0, 6)

→ Use the rule of the distance d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex] to find it

∵ x1 = 2 and y1 = 0

∵ x2 = 0 and y2 = 6

∴ h = [tex]\sqrt{(0-2)^{2}+(6-0)^{2}}=\sqrt{4+36}=\sqrt{40}=2\sqrt{10}[/tex]

The length of the hypotenuse is [tex]2\sqrt{10}[/tex] ≅ 6.325

The attached figure for more understanding

1. Geese fly 1355 miles in 25 days. How far do they fly in one day?

Answers

Answer:

The answer is 54.2 miles

Step-by-step explanation:

In order to solve this question we use ratio and proportion

From the question

In 25 days geese fly 1355 miles

So we have

if in 25 days they fly 1355 miles

Then in one day they will fly

[tex] \frac{1355 \times 1}{25} = \frac{1355}{25} \\ [/tex]

We have the final answer as

54.2 miles

Hope this helps you

Convert 8/9 to its decimal form and round to the nearest thousandth

Answers

Answer:

0.888

Step-by-step explanation:

Answer: 0.890

Step-by-step explanation: First, convert 8/9 to decimal form which is 0.088888888889. Next, round to the nearest thousandth which is 0.890.

If the point R (x, y) is equidistant from two points P (- 3, 4) and Q (2, – 1), prove that

y = x + 2.​

Answers

Answer:

see explanation

Step-by-step explanation:

Calculate the distance between (x, y) and the 2 given points and equate them.

Using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (x, y) and (x₂, y₂ ) = P(- 3, 4)

d = [tex]\sqrt{(-3-x)^2+(4-y)^2}[/tex]

Repeat with (x₁, y₁ ) = (x, y) and (x₂, y₂ ) = Q(2, - 1)

d = [tex]\sqrt{(2-x)^2+(- 1- y)^2}[/tex]

Equating both distances

[tex]\sqrt{(2-x)^2+(-1-y)^2}[/tex] = [tex]\sqrt{(-3-x)^2+(4-y)^2}[/tex]

Square both sides

(2 - x)² + (- 1- y)² = (- 3 - x)² + (4 - y)² ← expand and simplify both sides

4 - 4x + x² + 1 + 2y + y² = 9 + 6x + x² + 16 - 8y + y²

subtract x² + y² from both sides

5 - 4x + 2y = 25 + 6x - 8y ( add 8y to both sides )

5 - 4x + 10y = 25 + 6x ( subtract 5 from both sides )

- 4x + 10y = 20 + 6x ( add 4x to both sides )

10y = 10x + 20 ( divide all terms by 10 )

y = x + 2 ← as required

If u understand this May u please help me please

Answers

Answer:

y=-(2/3)x-3

Step-by-step explanation:

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