Renata moved to her new home a few years ago. Back then, the young oak tree in her back yard was 190 centimeters tall. She measured it once a year and found that it grew at a constant rate. 3 years after she moved into the house, the tree was 274 centimeters tall
How fast did the tree grow?

How many years passed from the time Renata moved in until the tree was 344 centimeters tall?

Answers

Answer 1
1.

The equation for this problem would be

y = (?)x + 190

With y being the height after a given amount of years and x being the amount of years passing. We would need to find ?, the rate of how fast the tree grows. The problem gives us y = 274 centimeters and x = 3 years

Let’s plug in and solve for ?

274 = ?(3) + 190

84 = ?3

28 = ?

The tree grew 28 cm per year

2.

Since we know the rate of change and y, let’s just plug in values

344 = 28x + 190

154 = 28x

5.5 = x

5.5 years since Renata moved.
Answer 2

Answer:

Answers below

Step-by-step explanation:

How fast did the tree grow?

28 centimeters per year

How many years passed from the time Renata moved in until the tree was 344 centimeters tall?

5.5 years

Hope this helps!


Related Questions

please dont give a useless answer

Answers

Answer:

[tex]\frac{7}{10} ,0.7[/tex]

Reasoning:

Do the inverse of adding 4/5 to isolate and find a.

[tex]1\frac{1}{2} - \frac{4}{5} =\frac{7}{10}[/tex]

Decimal Form:

[tex]1.5-0.8=0.7[/tex]

Answer:

  a = 0.7 = 7/10

Step-by-step explanation:

Subtract 4/5 from both sides.

  a + 4/5 = 1 1/2

  a + 0.8 = 1.5

  a + 0.8 -0.8 = 1.5 -0.8 . . . . subtract 4/5 from both sides

  a = 0.7 = 7/10

_____

If you like, you can solve this a couple of other ways:

1) Solve it as an integer problem.

  10a +8 = 15 . . . . . . multiply the given equation by 10 to clear fractions

  10a = 7 . . . . . . . . subtract 8

  a = 7/10 . . . . . . divide by 10

2) Use a common denominator

  a +8/10 = 1 5/10

  a = 1 5/10 -8/10 . . . . . subtract 8/10

  a = 15/10 -8/10 = (15 -8)/10 = 7/10 . . . . . convert to improper fraction

__

Additional comment

It is a good idea to get comfortable working with numbers in any form in which they are presented: decimal, fraction, mixed number, scientific notation, percentage. Knowing how to convert between forms is essential.

which temperature is lower -6 or 3

Answers

Answer:

-6

Step-by-step explanation:

this is so easy. if u watch anime at least get to 5th grade. anyways, -6 is less than 3 because -6 is negative, meaning below 0.

1. Order each set of numbers from least to greatest.
a) 23 405, 23 100, 680 155, 680 056, 607 463

b) 320 376, 409 217, 317 758, 329 000, 320 768

Answers

a) 23100, 23405, 607463, 680056, 680155

b) 317758, 320376, 320768, 329000, 409217

Margie's hourly salary is $6. 75. Last week she worked a 20âhour week. How much did she earn?.

Answers

Answer:

125

Step-by-step explanation:

6.25 x 20 = 125

Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get? Again assesment due tom :,)

Answers

Answer:

327.5

Step-by-step explanation:

8452/23 = 327.478

Round to about 327.5 books per class

Answer:

each class gets 367 books

Solve for u
7=u/4-16

Answers

Answer:

u=92

Step-by-step explanation:

Like and give 5 star rating

In two or more complete sentences describe how to determine if the function, f(x) =3cos(x) is even by looking at a graph

Answers

Answer:

You know that a cosine graph is a sine graph moved to the left by pi/2, therefore, like a linear equation, you need to make the cosine graph 3 times less width.

Step-by-step explanation:

2. Charges imposed on citizens by local, state, and federal governments are called?
A.)debts
B.)income
C.) taxes
D.)tips

Answers

Answer:

Compulsory charges imposed on citizens by local, state, and the federal government. Employers withholding allowance certificate provides the percentage of gross to be withheld for taxes. It is a law for employers to withhold taxes from wages.

Suppose the graph of y = f(x) is translated left 2 units, and up 8 units, then stretched vertically by a
factor of 3.

The new graph will have equation y =

Answers

Answer: f(x)=3(x+4)+ 8

Step-by-step explanation:

Stretch vertically by a factor of 3:  y = 3x

 

Then, translate two units leftward:  y = 3(x+2)

 

Then, translate 8 units upward:  y = 3(x+4)+ 8

please answer fast i need it

Answers

Answer:

AB = 2.625

Step-by-step explanation:

BC is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides , that is

[tex]\frac{CA}{CD}[/tex] = [tex]\frac{AB}{BD}[/tex] , that ia

[tex]\frac{6}{10}[/tex] = [tex]\frac{AB}{7-AB}[/tex] ( cross- multiply )

10 AB = 6(7 - AB) ← distribute

10 AB = 42 - 6 AB ( add 6 AB to both sides )

16 AB = 42 ( divide both sides by 16 )

AB = 2.625

[tex]\boxed{\sf 2x+31=5}[/tex]

Answers

2x + 31 = 5

2x = 5 - 31

2x = -26

x = -26/2

x = -13.

_______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

[tex] \sf \: 2x + 31 = 5[/tex]

[tex]\sf \longmapsto \: 2x = 5 - 31[/tex]

[tex]\sf \longmapsto \: 2x = -26[/tex]

[tex]\sf \longmapsto{x }= \frac{ - 26}{2} [/tex]

[tex]\sf \longmapsto \: x = - 13[/tex]

[tex] \boxed{\sf - 13}[/tex]

The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the glass bottle. ​

Answers

Answer:

Density is g/cm^3, not gcm^3

Mass = 32.16 grams [32.2 grams for 3 sig figs)

Step-by-step explanation:

Density = Mass/Volume

Density = 2.4g/cm^3

Volume = 13.4cm^3

---

2.4g/cm^3 = Mass/13.4cm^3

Mass = (2.4g/cm^3)*(13.4cm^3)

Mass = 32.16 grams [32.2 grams for 3 sig figs)

The mass of the glass-bottle is 32.16 grams.

What is volume?

Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.

Given:

The density of glass in a bottle is 2.4 grams per cubic centimeters.

The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.

Density = Mass/Volume

Density = 2.4 grams per cubic centimeters.

Volume = 13.4 cubic centimeters.

Substituting all the values,

2.4 = Mass / 13.4

Mass = 13.4 x 2.4

Mass = 32.16

Therefore, mass = 322.16 grams.

To learn more about the volume;

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5

7

2

8

1) what is the area (square units)

Answers

area: 560

Explanation: multiply everything together

A retirement account was opened with a $900 deposit. If the account earns 4.25% interest compounded continuously and has no other deposits or withdrawals, how long will it take the value to double?​

Answers

It will take 16.66years long for the money to double

The formula for calculating the compound amount is expressed as:

A = P(1+r)^t

A is the amount after t years  = 2(900) = $1800P is the amount invested = $900r is the rate in decimal  = 4.25% = 0.0425

Substitute into the formula to have:

1800 = 900(1+0.0425)^t

2 =(1+0.0425)^t

2 = 1.0425^t

ln2 = tln1.0425

t =  ln2/ln1.0425

t = 0.6931/0.0416

t = 16.66years

This shows that it will take 16.66years long for the money to double

Learn more on compound interest here: https://brainly.com/question/18483293

(2x-3)(-2x^2-5x-8)
(2x−3)(−2x
2
−5x−8)

Answers

Answer:

16 x 6 + 32 x 5 +24 x 4 − 184 x 3− 191 x2−48 x  + 576

[tex]\sf 78-2x=87-3x[/tex]

Answers

Answer:

x = 9

Step-by-step explanation:

78 - 2x = 87 - 3x

3x - 2x = 87 - 78

x = 9

ANSWER

x = 9

Step-by-step explanation:

=> 78-2x= 87 -3x

=> 78-87=-3x+2x

=> -9 = -x

=> x = 9

OMG help.
What is 1+1?

Answers

Answer:

2

Step-by-step explanation:

Hahaha thank you

Answer:

2

Step-by-step explanation:

1 plus 1 is two use ur fingers

100 points if you get this

Answers

Answer:

....

Step-by-step explanation:

Answer:

I AGREE

Step-by-step explanation:

Solving the quadratic equations using by completing the square. ​

Answers

Step-by-step explanation:

1-

(x+3)(x+5)=0

2-

(x-3)(x+1)=0

3-

(x-2)(x+2)=0

4-

(x+3)(x-1)=0

5-

(x-4)(x+8)=0

if it is right

please give me a brainlest


Dante argues that point P is the circumcenter of the triangle. Determine if
Dante is correct and justify your answer.

Answers

Dante is incorrect because point P is not the circumcenter of the triangle.

What is the circumcenter of a triangle?

The circumcenter of a triangle is a specific point or location either inside or outside the triangle that represents the center if a circumcircle is drawn or if a circle that touches all the vertices of a triangle is drawn.

How to identify a circumcenter?

There are some simple characteristics to determine if a circumcenter is correct.

All the vertices of a triangle have the same distance from the circumcenter.In obtuse triangles like the one shown in the image, this point is located outside the triangle.

Based on these characteristics we can conclude Dante is incorrect because the distance from point P to the three vertices is not the same and this point should be located outside not inside the triangle.

Learn more about triangle in: https://brainly.com/question/25813512

Can someone please help!!

Answers

Answer:

d

Step-by-step explanation:

40 is the exact amount from a,b,back to c

A family travels a distance of 870 miles in 13 hours on vacation. What was the families average speed for this trip? s

Answers

Answer: 256.

Step-by-step explanation:

✨maThS✨

Find the area of this semi-circle with radius, r = 92cm. Give your answer rounded to 1 DP. rcm The diagram is not drawn to scale.​

Answers

Answer:

142cm

Step-by-step explanation:

give me brainlylee plz

The area of the circle semicircle will be 13288.28 square centimeters.

What is the area of a circle?

Suppose the circle has a radius of 'r' units, then, its area is given as:

A = πr² square unit

The radius of the semicircle is 92 cm.

The area of the semicircle is half of the area of the circle.

Then the area of the circle semicircle will be

A = π x 92² / 2

A = π x 8464/ 2

A = 4232 x 3.14

A = 13288.48 square cm

Learn more about the area of a circle here:

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Twelve square tiles, each measuring 5 inches
on a side, are laid side by side. What is the total
width of the tiles?

Answers

Answer:

pretty sure 60, 5 x 12

Step-by-step explanation:

just do 5 x 12 if there's 12 tiles and their measurement is 5 inches each

it takes clay 1/2 hour to mow his lawn how much of the yard will be mowed after 1/3 hour

Answers

Answer:

Step-by-step explanation:

Clays rate is 1/2 hour per lawn.  We can write this as Rate = 3/2 hr/lawn.

If Clay mows for 1/3 hour, we can determine the amount of lawn mowed by dividing the 1/3 hour by the rate:

(1/3 hr)/(3/2 hr/lawn) = (1/3)*(2/3) = 2/9 of a lawn.

solve |8y+4|=2|y-1|
please show the work!

Answers

8y+4 = 2(y-1)
8y+4 = 2y-2
8y-2y+4 = -2
6y+4 = -2
6y = -2-4
6y = -6
y = -1

Please help me with this

Answers

The answer is 1 and 7/8. The last answer
1 7/8
3/5 x 3 1/8 (25/8) = 1.875
1.875 as a fraction is 1 7/8

find the missing triangle measurements. I WILL GIVE BRAINLIEST! PLEASE

Answers

Answer:

ABC= 60

DCE= 65

DEF= 105

Step-by-step explanation:

Answer:

60°; 65°; 115°

Step-by-step explanation:

ΔABC is equilateral since all sides marked as congruent. Therefore:

m∠ABC = 60°

ΔCDE is isosceles since two sides marked as congruent:

m∠DCE = m∠DEC = 1/2(180° - 50°) = 1/2(130°) = 65°

∠DEF forms a linear pair with ∠DEC, so they sum to 180°:

m∠DEF = 180° - 65° = 115°

What is the slope for this table?

Answers

Answer:   Slope = -3

=======================================================

Explanation:

Pick any two rows you want. I'll pick the middle two rows where every value is positive. So I'll pick these two rows:

x = 0 and y = 4x = 1 and y = 1

They lead to the points (0,4) and (1,1). Apply the slope formula for these rows.

m = (y2-y1)/(x2-x1)

m = (1-4)/(1-0)

m = -3/1

m = -3

The slope is -3

Answer:

is not proportional

Step-by-step explanation:

10/-2= -5

7/-1=-7

4/0=0

1/1=1

-2/2=-1

-5/3= -1 2/3

Which division problem is modeled

Answers

Answer:

The first one

Step-by-step explanation:

if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.

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