Answer:
A) ∃y(¬P(y))
B) ∀y(P(y) ^ Q(y))
C) ∀y(P(y) ^ Q(y))
D) ¬∃y(P(y) ^ Q(y))
E) ∃y(¬P(y) ^ Q(y))
Step-by-step explanation:
We will use the following symbols to answer the question;
∀ means for all
∃ means there exists
¬ means "not"
^ means "and"
A) Something(y) is not in the correct place is represented by;
∃y(¬P(y))
B) For All tools are in the correct place and are in excellent condition, let all tools in the correct place be P(y) and let all tools in excellent condition be Q(y).
Thus, we have;
∀y(P(y) ^ Q(y))
C) Similar to B above;
∀y(P(y) ^ Q(y))
D) For Nothing is in the correct place and is in excellent condition:
It can be expressed as;
¬∃y(P(y) ^ Q(y))
E) For One of your tools is not in the correct place, but it is in excellent condition:
It can be expressed as;
∃y(¬P(y) ^ Q(y))
This is not a function because we have an A with many B. It is like saying f (x) = 2 or 4 It fails the "Vertical Line Test" and so is not a function. But is still a valid relationship, so don't get angry with it. It CAN (possibly) have a B with many A. For example sine, cosine, etc are like that. Perfectly valid functions.
Complete question :
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?
Answer:
$265,720
Step-by-step explanation:
Given that:
State gasoline tax = $0.26 per gallon
Average number of gasoline sold per day = 1,022,000 gallons
. From the availabke information given :
Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold
= $0.26 * 1,022,000
= $265,720
For the answer to the question above,
The triangle can be divided into 2 right triangles with 10 cm base, 18 cm hypotenuse. We need to find the measure of the long side to get the height of the isosceles triangle.
a² + b² = c²
a² + (10cm)² = (18cm)²
a² = 324 cm² - 100 cm²
a² = 224 cm²
a = √224 cm²
a = 14.97 cm
Area = 1/2 * base * height
A = 1/2 * 20 cm * 14.97 cm
A = 149.70 cm²
A = r/2 * p
149.70 cm² = r/2 * (18cm+18cm+20cm)
149.70 cm² = r/2 * 56 cm
149.70 cm² ÷ 56 cm = r/2
2.67 cm = r/2
2.67 cm * 2 = r
5.34 cm = r
So the answer to this question is
<span>5.35 cm is the radius</span>
