Answer:32
Step-by-step explanation: 4 bikes every hour so multiply 4 times 8 which is 32
Answer:
see explanation
Step-by-step explanation:
The perimeter is the length of all the sides in the figure.
The arc of the semi- circle is included in this.
length of arc = 
πd ← d is the diameter
here d = 8, hence
arc = π × 8 = 4π ← exact length
Perimeter = 10 + 8 + 10 + 4π ≈ 40.57 in ( nearest hundredth )
8+7 = 14+3 is the false answer
Answer:correct answer =0
Step-by-step explanation:
Step 1
5x - (x + 3)2
Putting the coefficient of x =2 in the equaton we have
5(2) - (2 + 3)2
Solving out
5(2) - (5)2
= 10- 10
=0
Step 2
Amir's mistake was in the multiplication and wrong use of the negative sign of the bolded below
5(2) - (2 + 3)2 = 10 + (-5)2 = 10 + 25 = 35
-(5)2 cannot give 25 instead 10, so him getting a 25 and wrong use of the negative and positive made his answer wrong.
The right answer as calculated in step 1 = 0
2ty'=4y
Replacing y'=dy/dt in the equation:
2t(dy/dt)=4y
Grouping terms:
dy/y=4dt/(2t)
dy/y=2dt/t
Integrating both sides:
ln(y)=2ln(t)+ln(c), where c is a constant
Using property logarithm: b ln(a) = ln(a^b), with b=2 and a=t
ln(y)=ln(t^2)+ln(c)
Using property of logarithm: ln(a)+ln(b) = ln(ab), with a=t^2 and b=c
ln(y)=ln(ct^2)
Then:
y=ct^2
Using the initial condition: y(2)=-8
t=2→y=-8→c(2)^2=-8→c(4)=-8
Solving for c:
c=-8/4
c=-2
Then the solution is y=-2t^2
Comparing with the solution: y=ct^r
c=-2, r=2
Answer: T<span>he value of the constant c is -2 (c=-2) and the exponent r is 2 (r=2)</span>
