Answer:

5 StartRoot 10 EndRoot
Step-by-step explanation:
we know that
The legs of a 45°-45°-90° triangle are congruent
Let
x ----> the length of one leg of the triangle
Applying the Pythagorean Theorem

where
c is the hypotenuse
a and b are the legs
we have


substitute


Simplify

5 StartRoot 10 EndRoot
Answer: 5 gallons
Step-by-step explanation:
There are 3 x's on the graph for 1/4, so 1/4 times 3=3/4
There are 2 x's on the graph for 3/8, so 3/8 times 2=3/4
There are 4 x's on the graph for 5/8, so 5/8 times 4=5/2
There is only 1 x for 1, so it will remain 1.
So if you add these up,
3/4+3/4+5/2+1
6/4+10/4+1
16/4+1
4+1
There is 5 gallons of sap produced that day.
Hope this helped!
Answer:
When we do a scale model of something (like a building, a house, or whatever) al the properties of the original thing must also be in the model.
So for example, you want to do a model of a house, and in the backyard of the house there are 4 trees, then in the model of the house you also need to put 4 trees in the backyard (indifferent of the scale of the model).
Then the number of boulders in the really fountain should be the same as the number of boulders in the scale model of the fountain.
For this case we have a function of the form:

Where,
A: initial amount
b: growth rate (if b> 1)
n: time in hours
Substituting values we have:

We have then that the initial amount is:

If b = 1.85 then the growth percentage is:
Answer:
here were initially 20 bacteria.
The hourly percent growth rate of the bacteria would be 85%
Answer:
The turtle population's rate of growth will be 32 turtles per year after 2 years and 248 per year after 6 years.
Ten years after the conservation measures are implemented the population will be 3260 turtles.
Step-by-step explanation:
To find the rate of growth of the turtle population at any time <em>t</em> you need to find 

In particular, when t = 2 and t = 6, we have

so the turtle population's rate of growth will be 32 turtles per year after 2 years and 248 per year after 6 years.
The turtle population at the end of the tenth year will be
