To find out how fast a tree grows, you can measure its trunk. A giant red oak's diameter was 248 inches in 1965. The tree's diameter had grown to 251 inches in 2005. Find the average rate of change in the diameter of the tree per year.


CLEAR CHECK

1313 inches per year


-0.075 inch per year


0.075 inch per year


3 inches per year

Answers:

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

Work Shown:

Original set = {5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3}

Sorted set = {1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6}

Do not toss out the duplicates.

The most occurring or most frequent value is 2, so this is the mode.

---------------------------

To find the median, we divide the n = 20 item set into two parts

n/2 = 10

So we'll count to the 10th slot to get to the number "2", which is the second to last "2" in the sorted list shown above.

The number just after this is also "2" in the 11th slot. Average these two values to get (2+2)/2 = 4/2 = 2

The median is 2.

----------------------------

To find the mean, we need to first add up all the data values.

1+1+2+2+2+2+2+2+2+2+2+3+3+3+3+4+4+5+5+6 = 56

Then divide this over n = 20 to get 56/20 = 2.8

The mean is 2.8

The mean being larger than the median tells us we have an outlier that is larger than the main cluster. Those outliers are 5 and 6.

Answer: [tex]\frac{17}{4}[/tex]

Step-by-step explanation:

Simply convert 3/1 into 12/4, then add it to 5/4, to get 17/4.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

p = 10.9

Step-by-step explanation:

Answer:

x=8. Explanation: Factor of 6561 are. 6561=3×3×3×3×3×3×3×3=38. As such, 3x=6561 can be written as 3x=38. Hence, x=8.  Step-by-step explanation:

Answer:

The value of b is 3

then B - (n4 – 3)(n4 + 3)

Step-by-step explanation:

Answer:

8 nine tenths

Step-by-step explanation:

Answer:

= -8

(hope this helps) :)

Answer:

Slope of the perpendicular line

m2=-5/2

Step-by-step explanation:

[tex] \Large{\boxed{\sf (10 + 6i)(-2 - 4i) = 4 - 52i}} [/tex]

[tex] \\ [/tex]

To find the algebraic form, also called 'a + bi form', of the given complex number, we will have to expand its expression using FOIL method.

[tex] \\ [/tex]

[tex] \Large{ \sf \: \underline{FOIL \: method \text{:}}} \\ \\ \Large{\boxed{\sf (A + B)(C + D) = AC + AD + BC + BD}} [/tex]

[tex] \\ [/tex]

Let's identify our coefficients and expand the given expression:

[tex] \sf (\underbrace{\sf 10}_{A} + \overbrace{\sf 6i}^{B})(\underbrace{\sf -2}_{C} \overbrace{\sf -4i}^{D}) = 10 \times (-2) + 10 \times (-4i) + 6i \times (-2) + 6i \times (-4i) \\ \\ \\ \sf = -20 - 40i - 12i - 24i^2 = -20 - 52i - 24i^2 [/tex]

[tex] \\ [/tex]

In the complex number system, i² = -1. Therefore, our final answer is:

[tex] \sf (10 + 6i)(- 2 - 4i) = -20 - 52i - 24(-1)= \boxed{\boxed{\sf 4 - 52i}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about the algebraic form of a complex number here:

↣https://brainly.com/question/25633236

Answer:

11.0366

Step-by-step explanation:

Look at the 5th digit after the decimal place. If it is a 4 or lower, round down. If it is a 5 or higher, round up:

11.03656 - 6 is higher than 5 so the number is rounded up to 11.0366

Hope this helps!

The number is rounded up to 11.0366.

The place values on left of decimal point start as ones, tens, hundreds, and so on...

The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on..

Thus, The tens means multiply by 10

Thus, The tenth means tenth part of that digit which is that digit divided by 10

If we Look at the 5th digit after the decimal place. it is a 4 or lower, round down. If it is a 5 or higher, round up:

11.03656 -

6 is higher than 5 so, the number is rounded up to 11.0366.

Learn more about the decimal here;

https://brainly.com/question/24064260

#SPJ2

Answer:

C) 1

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

Step-by-step explanation:

h(3) means that x = 3. That's the right side of the x axis. At that point, h(3) has a y value of 1.

Answer:

B

hope this helps

Answer:

y=4x+3

=)4x=y-3

=)x=(y-3)/4

Answer:

[tex]\frac{y - 3}{4}[/tex]

Step-by-step explanation:

To make x the subject, first, subtract 3 from both sides:

y = 4x + 3 → y - 3 = 4x

Next, divide both sides by 4 to get x on its own:

y - 3 = 4x → (y - 3)/4 = x

Hope this helps

The average amount earned based on the information given is $5.31 per product.

Number of farm products = 293

Total amount earned = $1557

Therefore, the average amount will be gotten by dividing the total amount by the number of farm products and this will be:

= $1557/293

= $5.31

In conclusion, the average will be $5.31.

Read related link on:

https://brainly.com/question/25276097

Answer:

y=x-5

Step-by-step explanation:

Answer:

A= 2

B= 3

D=2

maka

A x B ÷C

2 x 3 ÷ 2

=6 ÷ 2

=3

Answer:

A= 2

B= 3

D=2

maka

A x B ÷C

2 x 3 ÷ 2

=6 ÷ 2

=3

Answer:

1: 155

2: 222

3: 44

4: 132

5: 163

6: i dont know

7: 202

8:?

9: ?

hope this helped!

Step-by-step explanation:

1.)155

2.)222

3.)44

4.)132

5.)163

6.)93.92857142857142

7.)202

8.)112.9032258064516

9.)76.66666666666666

Sana po makatulong( ˘ ³˘)♥︎

Answer:

Vertical angles

Actually the correct answer should be Vertically opposite angles

Answer:

the answer is one whole or one out of one

Answer:

12

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

See attached image. If you have any questions, let me know!

Answer:

simplify of 15.8 is 16

Step-by-step explanation:

please mark me as brainliest

Answer:

15 4/5

Step-by-step explanation:

Answer:

Number 3 is correct.

129.19m

Step-by-step explanation:

You might be wondering how did I got 32⁰, well, that's because they are alternate angles.

Now, we're trying to find the opposite side of the triangle.

Using the laws,

we got cos32⁰=x/243.8

243.8cos32⁰=x

129.19⁰

Mark me as Brian list?

Answer:

a) 5/4

b) y = 5/4x + 27

Step-by-step explanation:

To find the gradient of a line, simply change the equation into slope intercept form (y = mx + b), where b is the y-intercept and m is the slope.

4y - 5x = 2

4y = 5x + 2

y = 5/4x + 1/2

m(gradient) = 5/4

For lines to be parallel, simply keep the gradient the same.  Any line with a gradient, or slope, of 5/4 will be parallel. As such, simply keep the first two terms identical, and change the y-intercept into any number.

Hope it helps :)

Answer:

C

Step-by-step explanation:

multiply by 2 to be 2x-6

Answer:

x=8//

Step-by-step explanation:

2(x- 3)

or,2x-6

or,X=6+2

hence,X=8//

Answer:

About 1205.12352941 people per square mile in 2010

About 1329.36306853 people per square mile in 2015

Explanation:

take population and divide by land area

for 2015 pop do total pop divided by 9.7 plus total pop

Answer:

The answer is = (x',y')=(-x,-y)

Step-by-step explanation:

= (x',y')=(-x,-y)

Rectangle PQRS is rotated 180 degrees clockwise about the origin to create triangle P'Q'R. Complete the rule that describes the coordinates of triangle P'Q'R after the rotation has occurred.

Rule of 180° Rotation

If the point (x,y) is rotating about the origin in a 180-degree clockwise direction, then the new position of the point becomes (-x,-y).

Please check the attached file for a detailed answer.

Learn more about the origin to create rectangles at

https://brainly.com/question/17548952

#SPJ2

Answer:

8 divided by 9/10

= 8.8888... = 8 8/9

7 divided by 5/8

= 11.2 = 11 1/5

8 divided by 1/2

= 16

9 divided by 2/3

= 13.5 = 13 1/2

8 divided by 5/8

= 12.8 = 12 4/5

8 divided by 1/4

= 32

1 divided by 5/10

= 2

8 divided by 1/3​

= 24

Step-by-step explanation: