Answer:
11 1/2
Step-by-step explanation:
Answer:
3
days
Step-by-step explanation:
Let the amount of work be x.
Daniel:
10 days = x
1 day = 
x
Father:
6 days = x
1 day = 
x
Together:
1 day = x + x
= 
x + 
x
= 
x
= 
x
No. of days = 
x ÷ x
= x × 
x
= 
= 3
Answer:
392.5 terms of pi = 125π
Step-by-step explanation:
V = πr²h
V = 3.14 x 5² x 5
V = 3.14 x 25 x 5
V = 3.14 x 125
V = 392.5
If its terms of pi it should be 125π
Answer:
They will work together and print 200 T-shirts in 37.5 minutes.
Step-by-step explanation:
One machine can print 200 T-shirts in 50 minutes.
So, in one minute that machine can print 
T-shirts.
Again, the other machine can print 200 T-shirts in 150 minutes.
So, in one minute the other machine can print 
T-shirts.
Therefore, working together for one minute both the machines will print (4 + 1.33) = 5.33 number of T-shirts.
Hence, they will work together and print 200 T-shirts in 
minutes. (Answer)
Answer:
See below
Step-by-step explanation:
Remember the notation and rules of quantifiers. ∀ is the universal quantifier and ∃ is the existential quantifier. To negate ∀x p(x) , write ∃x ¬p(x). To negate ∃x p(x) , write ∀x ¬p(x)
Part I:
A) None of life's problems have a simple solution.
B) All of life's problems have a simple solution.
C) Some of life's problems have a simple solution
D) All of life's problems have a simple solution (notice how the original statements in B and D mean exactly the same)
E) Some of life's problems do not have a simple solution.
Part II: Let x be a variable representing one of life's problems, y be a variable representing solutions, p(x):="x has a simple solution", and q(x,y):="y is a simple solution of x".
A) (∀x)(¬p(x)) or ¬(∃x)(p(x))
B) (∀x)(∃y)(q(x,y))
C) (∃y)(∀x)(q(x,y)). Note that the order of quantifiers is important. B) and C) have different meanings. In C) there is an universal solution of all problems, in B) each problem has its solution.
D) (∀x)(p(x))
E) Same as C)
