If P is 50% of Q, this means that P is half the value of Q. Similarly, if Q is 50% of R, then Q is half the value of R. Therefore, P is 25% of R, as it is 50% of Q, which is itself 50% of R. Thus, we can conclude that P is less than both Q and R.
To find ( p ) when ( q = 10 ) and ( r = 50 ), we need an equation or relationship that involves ( p ), ( q ), and ( r ). Without additional context or a specific formula, it's impossible to determine the value of ( p ). Please provide more information or a specific equation to proceed.
The statement "if p, then q; and if q, then r; therefore, if p, then r" describes the logical reasoning known as the transitive property. More formally, it can be expressed in symbolic logic as "p → q, q → r, therefore p → r." This is a fundamental concept in logic that illustrates how relationships can be inferred through a chain of implications.
The answer is Q.
The statement "If p implies q and q implies r, then p implies r" is best described as the transitive property of implications in logic. This principle is fundamental in propositional logic and can be expressed symbolically as ( (p \rightarrow q) \land (q \rightarrow r) \rightarrow (p \rightarrow r) ). It highlights how the relationship between propositions can be extended through a chain of implications.
If ( p ) is related to ( q ) and ( q ) is related to ( r ), then there is a transitive relationship between ( p ) and ( r ). This means that any property or relationship that holds between ( p ) and ( q ), as well as between ( q ) and ( r ), may also extend to ( p ) and ( r ). For a more specific answer, the nature of the relationships (e.g., equality, proportionality) needs to be clarified.
Converse: If p r then p q and q rContrapositive: If not p r then not (p q and q r) = If not p r then not p q or not q r Inverse: If not p q and q r then not p r = If not p q or not q r then not p r
If p = 50 of q then q is 2% of p.
To find ( p ) when ( q = 10 ) and ( r = 50 ), we need an equation or relationship that involves ( p ), ( q ), and ( r ). Without additional context or a specific formula, it's impossible to determine the value of ( p ). Please provide more information or a specific equation to proceed.
p = 50q/100 = 1/2 q r = 40q/100 = 2/5 q p = (1/2)/(2/5) = (1/2)(5/2) = 5/4 r or 1 1/4 r Thus, p is 125% of r.
Ifp < q and q < r, what is the relationship between the values p and r? ________________p
A rational number is a number of the form p/q where p and q are integers and q > 0.If p/q and r/s are two rational numbers thenp/q + r/s = (p*s + q*r) / (q*r)andp/q - r/s = (p*s - q*r) / (q*r)The answers may need simplification.
P=q/r* * * * *The correct answer is P = k*q/r where k is the constant of proportionality.
The statement "P and Q implies not not P or R if and only if Q" can be expressed in logical terms as ( (P \land Q) \implies (\neg \neg P \lor R) \iff Q ). This can be simplified, as (\neg \neg P) is equivalent to (P), leading to ( (P \land Q) \implies (P \lor R) \iff Q ). The implication essentially states that if both (P) and (Q) are true, then either (P) or (R) must also hold true, and this equivalence holds true only if (Q) is true. The overall expression reflects a relationship between the truth values of (P), (Q), and (R).
Two fractions are similar if they have the same denominator.So if p/r and q/r are two such fractions, then p/r + q/r = (p+q)/r.
The statement "if p, then q; and if q, then r; therefore, if p, then r" describes the logical reasoning known as the transitive property. More formally, it can be expressed in symbolic logic as "p → q, q → r, therefore p → r." This is a fundamental concept in logic that illustrates how relationships can be inferred through a chain of implications.
tan x
The answer is Q.