Matter becomes energy. Law of thermodynamics states that matter can't be created or destroyed, but can transfer to another form. If it was closed in with the form of energy, it would be transferred to the form of energy.
The sum of the two numbers is equal to 70.
- Let the first number be x.
- Let the second number be y.
In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).
Translating the word problem into an algebraic expression, we have;
Two numbers differ by 8:
....equation 1.
The product of the two numbers is 713:
....equation 2.
To calculate the sum of the two numbers:
First of all, we would solve for each of the unknown variables (x and y).
From eqn. 1, we have:
....equation 3.
Substituting eqn. 3 into eqn. 2, we have:

Solving the quadratic equation by factorization, we have:

y = -23 or 31.
For the value of x, when y = 31:

x = 39
Now, we can calculate the sum of the two numbers:

Read more on word problems here: brainly.com/question/13170908
Organisms are classified in modern taxonomy based on the physical
characteristics present in them.
<h3>What is Taxonomy?</h3>
This is the branch of science that deals with the classification of various
organism such as the following:
This is usually done by observing their molecular structures. This helps to
determine the different characteristics and traits present in the organism and
classify them accordingly.
Read more about Taxonomy here brainly.com/question/1041056
Answer:
Volume = 480 cubic inches
Explanation:
We have the following relationships to work with
width w = h -3
length l = h + 4
area of base of prism a = l x w = 60 (1)
area of base in terms of h = (h-3)(h+4) =h² -3h + 4h -12 (2)
Setting (1) = (2) gives
h² + h -12 =60
h² + h -72 = 0
Factoring the LHS we get
(h+9)(h-8) = 0
The solutions for h are
h + 9 = 0 ==> h = -9
h - 8 = 0 ==> h = 8
Since h cannot be negative, h = 8 inches
Volume = base area x h = 60 x 8 = 480 cubic inches
<u>Note</u>
We do not have to calculate length and width separately, but if so,
w = 8 -3 = 5
l = 8 + 4 = 12