This is the concept of geometry, the height of the tree will be given by:
tan theta=[opposite]/[adjacent]
theta=24
opposite=h
adjacent=26m
thus;
tan 24=h/26
hence;
h=26tan24
h=10.29
=10 m
Hello! Let's look at the two parts of this question.
Complete the table:
In this case, you just substitute the value of "hour" into the equation, for the value of t. For example:
P(0) = 120 
P(0) = 120 (1)
P(0) = 120
Therefore, the number of bacteria for hour 0 is 120.
You can do this for the next ones. Hour 1 = 240, hour 2 = 480, and so on. (In this case, you can keep multiplying by 2)
Estimate when there will be more than 100,000 bacteria:
Set the final value of P(t) = 100,000, then solve.
100,000 = 120 (2
833.33 = (2
t = 
t = 9.702744108
So your answer would be around 9.7 years, or, around 10 years.
Hope this helps!
To find, the length, divide the area by the width:
Length = 20 / 4 = 5 meters.
So one third means you mutilply by 3 so 3x5 is 15 model cars
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be parallel, they need to have the same slope.
y - 3x = 2 Add 3x on both sides to change the equation to slope-intercept form
y - 3x + 3x = 2 + 3x
y = 3x + 2 The slope is 3, so the parallel line's slope is also 3.
Now that you know the slope, substitute/plug it into the equation
y = mx + b
y = 3x + b To find "b", plug in the point (6, 1) into the equation, then isolate/get the variable "b" by itself
1 = 3(6) + b
1 = 18 + b Subtract 18 on both sides to get "b" by itself
1 - 18 = 18 - 18 + b
-17 = b
y = 3x - 17 Your answer is the 1st option
