In general, purely competitive markets tend to benefit consumers over producers because "<span>Consumers control price through demand". Although perfect competition is practically impossible. </span>
Answer:
In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.
In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
Step-by-step explanation:
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The expression 16y² + 48y in factored form is 16y(y+4) and the GCF of 16 and 48 is 16.
Given that A water company drills 2 wells to provide additional water for a small community. The cost in dollars to drill and service the wells for y years is represented by the expression 16y² + 48y and asked to factorize the equation
Factorization:
A number or other mathematical object is factored (or factorised, see variants in English spelling) or factored by a number of factors, often smaller or simpler things of the same sort.
⇒16y² + 48y=16y(y+4)
G.C.F:
The greatest common factor, which is the product of two or more numbers, is the biggest number (GCF). A natural number is created by dividing them by the biggest number (factor). There are a few factors that both share once all the number's components have been identified. The greatest common factor is the one with the largest number among the common factors. The highest common factor is another name for the GCF (HCF)
The highest common factor of 16 and 48 is 16
Therefore, G.C.F of 16 and 48 is 16
Therefore,The expression 16y² + 48y in factored form is 16y(y+4) and the GCF of 16 and 48 is 16.
Learn more about Factorization here:
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Answer:
29.7°
Step-by-step explanation:
In a right triangle representing the geometry of the problem, the side opposite the angle is the height of your observation (400 ft). The side adjacent to the angle is the distance from shore (700 ft).
You know the tangent ratio is ...
Tan = Opposite/Adjacent
so your angle of depression satisfies ...
tan(angle of depression) = (400 ft)/(700 ft)
Using the inverse function, we find ...
angle of depression = arctan(4/7) ≈ 29.745°
The angle of depression is about 29.7°.
