Answer:
Alison wins against Kevin by 0.93 s
Step-by-step explanation:
Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration
, we have the following equation of motion

where s (m) is the total distance, ta = 3 s is the time


Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration
, we have the following equation of motion:

tk = 4 s is the time


Since
we can conclude that
, so Alison would win.
The time it takes for Alison to cover the entire track



The time it takes for Kevin to cover the entire track



So Alison wins against Kevin by 6.93 - 6 = 0.93 s
Answer:
1(b) ∀ (A(x) ⇒ B(x) )
2(b) ∀ (B(x) ⇒ C(x) )
3(b) ∀ (B(x) ⇒ E(x) )
Step-by-step explanation:
1) Tofu is healthy
2) Tofu is healthy to eat
3) Tofu eats what taste good
1a) For all x, if x is healthy to eat
2a) For all x, if x is not healthy to eat, then x does not taste good.
3a) For all x, if x is healthy to eat, then x is healthy to eat what tastes good
For all x in order to symbolize the statement
1(a) 2(a) 3(a)
If we use:
A(x): Tofu is healthy
B(x): Tofu is healthy to eat
C(x): Tofu eats what taste good
E(x): Tofu only eat what tastes good
If we symbolize "For all x" by the symbol ∀ then then the propositions 1(a), 2(a) and 3(a) can be written as:
1(b) ∀ (A(x) ⇒ B(x) )
2(b) ∀ (B(x) ⇒ C(x) )
3(b) ∀ (B(x) ⇒ E(x) )
Answer:
- rate of the boat in still water = 6.5 miles / hour
- rate of the current = 2.5 miles / hour.
Explanation:
<u>1) Name the two variables:</u>
- b: rate of the boat in still water:
With that, the net rates of the boat down the river and upstrean are:
<u>2) Now set the equations for the distance as a function of the times and the rates:</u>
- downstream: 18 miles = (b + c) × 2 hours
- upstream: 18 miles = (b - c) × 4.5 hours
<u>3) Set the system of equations:</u>
- 18 = 2(b + c) ⇒ 9 = b + c . . . Equation (1)
- 18 = 4.5 (b - c) ⇒ 4 = b - c . . . Equation (2)
<u>4) Solve the system by </u><u>elimination</u><u>:</u>
- Add equations (1) and (2): 9 + 4 = 2b
- Divide both sides by 2: 13/2 = b
- Replace b with 6.5 in equation (2) and solve:
4 = 6.5 - c ⇒ c = 6.5 - 4 = 2.5
<u>5) Results:</u>
- b = rate of the boat in still water = 6.5 miles / hour
- c = rate of the current = 2.5 miles / hour.
The c+5 should represent the five more cds that he has thats more than julias
Answer:
The Value Remains the Same
Step-by-step explanation:
Trust