The greatest possible length of each piece is 16 inches
<h3><u>Solution:</u></h3>
Latisha has two pieces of ribbon. One piece of ribbon is 48 inches and the other is 80 inches
Ribbon is to be cut into pieces of equal length
To find the greatest possible length of each piece, we have to find greatest common divisor of 48 and 80
The greatest common factor, or GCF, is the greatest factor that divides two numbers
<em><u>Steps to find G.C.F of 48 and 80</u></em>
1) Find the prime factorization of 48

2) Find the prime factorization of 80

3) To find the GCF, multiply all the prime factors common to both numbers:
Therefore, 
So, 16 inches is the greatest possible length to cut so that every piece is of equal length.
Answer:
1,130 cm
Step-by-step explanation:
Hi there!


Recall the power rule:

Rewrite the function for ease of differentiation:

Use the power rule:

Take the derivative once more:

Rewrite:

Answer:
15.7 years
Step-by-step explanation:
we know that
The deforestation is a exponential function of the form

where
y ----> the number of trees still remaining in the forest
x ----> the number of years
a is the initial value (a=500,000 threes)
b is the base
b=100%-4.7%=95.3%=95.3/100=0.953
substitute

The linear equation of planting threes in the region is equal to

using a graphing tool
Solve the system of equations
The intersection point is (15.7,235,110)
see the attached figure
therefore
For x=15.7 years
The number of trees they have planted will be equal to the number of trees still remaining in the forest
V= 4/3 • 3.14 • radius to the 3rd power.
If you don't have the radius, you can find it by dividing the diameter by 2.
Hope this helps!