Answer:
See below
Step-by-step explanation:
Remember, we have two quantifiers, the existential quantifier ∃, and the universal quantifier ∀. The existential ∃ translates to English as "for some" or "there exists", whereas ∀ means "for all" or "every". We will also use the negation operator ¬.
First, let's write the proposition using quantifiers. "There is someone in this class who does not have a good attitude" translates to "(∃x)(¬S(x))". ∃x means that there exists a person in this class x. ¬S(x) means that x, the person that exists because of the quantifier, does not have a good attitude.
The negation is "¬(∃x)(¬S(x))" or equivalently "(∀x)(S(x))". To negate a proposition using quantifiers, change the quantifier (existential to universal and viceversa) and negate the predicate (in this case we negated ¬S(x)).
In English, "(∀x)(S(x))" means "Every person in this class has a good attitude".
Answer:
the statement that says each side s 32 inches long has a greater area than 48 inches long and 20 inches wide
Step-by-step explanation:
Answer:
V = 20πr²
Step-by-step explanation:
In this question, volume of the cylindrical tank has been defined as,
Volume V of the tank = Product of π, the square of the radius of the tank 'r' and the length of the tank 'h'.
Therefore, formula to calculate the formula will be,
V = πr²h
If the length of the cylindrical trailer is,
h = 20 feet
Then the volume of the trailer will be,
V = πr²(20)
V = 20πr²
These lines are perpendicular because y = -6 is a horizontal line with a slope of 0 and x = 6 is a vertical line with an undefined slope
0.06x=0.045(65100-x)+231
Solve for x
X=30100
Find the amount of interest in each account
0.06(30100)=1806 first account
0.045(65100-30100)=1575 sec account
Total interest=1,806+1,575=3,381
