Answer:
a) ∀y∃x(Q(x, y))
b) (B(Jayhawks, W ildcats)→¬∀y(L(Jayhawks, y)))
c) ∃x(B(Wildcats, x) ∧ B(x, Jayhawks))
Explanation:
a) The statement can be rewritten as "For all football teams, there exists a quarterback" which is written in logical symbols.
b) The statement is an implication and thus have a premise and a conclusion. The premise states "Jayhawks beat the Wildcats" which is translated using B(x, y). The conclusion can be rewritten as "It is not the case that Jayhawks lose to all football teams".
c) The statement is a simple conjunction which can be written as "There exists a team x such that the Wildcats beats x and x beats Jayhawks"
Answer:
power produced = 3098.52 kW
Explanation:
given data
insulated turbine = 100 bar
temperature = 400°C
pressure = 200 kPa
mass flow rate = 1.99 kg/s
solution
we use here steam table for At 100 bar and 400°C
h1 = 3096.5 KJ/Kg
and
at P2 = 200 Kpa
h2 = hf + 0.47 hg
h2 = 504.7 + 0.47 × 2201.6
h2 = 1539.452 KJ/Kg
so here
power produced is express as
power produced = m × (h1 - h2) .................1
power produced = 1.99 × ( 3096.5 - 1539.452 )
power produced = 3098.52 kW
Answer: $14575
$55000
6.5%
5 years
Total Payment Amount: $72875
Yearly payment :$72875/5= $14575
Answer:
Fa = 57.32 N
Explanation:
given data
mass = 5 kg
acceleration = 4 m/s²
angular velocity ω = 2 rad/s
solution
first we take here moment about point A that is
∑Ma = Iα + ∑Mad ...............1
put here value and we get
so here I = ( 
) × m × L² ................2
I = ( ) × 5 × 0.8²
I = 0.267 kg-m²
and
a is = r × α
a = 0.4 α
so now put here value in equation is 1
0 = 0.267 α + m r α (0.4) - m A (0.4)
0 = 0.267 α + 5 (0.4α) (0.4 ) - 5 (4) 0.4
so angular acceleration α = 7.5 rad/s²
so here force acting on x axis will be
∑ F(x) = m a(x) ..............3
a(x) = m a - m rα
put here value
a(x) = 5 × 4 - 5 × 0.4 × 7.5
a(x) = 5 N
and
force acting on y axis will be
∑ F(y) = m a(y) .............. 4
a(y) - mg = mrω²
a(y) - 5 × 9.81 = 5 × 0.4 × 2²
a(y) = 57.1 N
so
total force at A will be
Fa = 
...............5
Fa = 
Fa = 57.32 N
