During a research work, an effective and efficient way to follow the scientific method includes:
Make observations.
Ask questions.
Construct a hypothesis.
Test the hypothesis with an investigation.
Analyze the data.
Explain the result.
Communicate the result.
The scientific method is the variety of techniques that scientists use to observe, examine, investigate, and study the natural world and explain it based on evidence, theories, evidence, hypotheses, or factual information that scientists derive from their research work.
It can be defined as the scientific method usually involves combining traditional scientific processes with critical thinking, scientific knowledge, and reasoning to generate new ideas. Please note that if your hypothes is true, it should be shared with the community. However, if your hypothesis is wrong, you should build another hypothesis and repeat the process.
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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:

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Modern art includes artistic work produced during the period extending roughly from the 1860s to the 1970s, and denotes the styles and philosophy of the art produced during that era. The term is usually associated with art in which the traditions of the past have been thrown aside in a spirit of experimentation.