Consider the drawing shown below. Given the measure of angle ACD is

A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t

Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

$\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}$

Use the slope(m) and y-intercept (b) to write the equation:

$\begin{gathered} y=mx+b \\ \\ y=0.22x+17.2 \end{gathered}$ A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

$\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\ \\ y=23.58 \end{gathered}$ Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

$\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\ \\ 58=x \end{gathered}$ Then, after 58 months the tree would be 29.96feet tall

3 0

1 year ago

If p is true and q is false, the p —> q is (blank) true.<br> options: always, sometime, never

djyliett [7]

Answer:

If p is true and q is false, the p -> q is always true

Step-by-step explanation:

6 0

3 years ago

You are on a cycling trip around Europe with friends.

vekshin1

Answer:

22°C

Step-by-step explanation:

(16 + 20 + 24 + 28 + 28 + 23 + 15)/7 = 22°C

7 0

3 years ago

Which one is correct ; BODMAS , BOMDAS, BIDMAS or PIDMAS?

ValentinkaMS [17]

Answer:

BODMAS

Step-by-step explanation:

BODMAS is correct.

Brackets

Of

Division

Multiplication

Addition

Subtraction

3 0

3 years ago

A university has 14 statistics classes scheduled for its Summer 2013 term. One class has space available for 20 students, eight

skad [1K]

Answer:

Assuming each class is filled to capacity, the average class size is 70.

Step-by-step explanation:

We have to find the weighted average of the number of students.

The weights are the number of classes.

We have that:

One class of 20 students

Eight classes of 60 students.

One class of 80 students.

Four classes of 100 students.

So

$M = \frac{1*20 + 8*60 + 1*80 + 4*100}{14} = 70$

Assuming each class is filled to capacity, the average class size is 70.

7 0

4 years ago