B. You don’t exactly need a reason do you?
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Answer:
7 pizzas
Step-by-step explanation:
For a difference in price of $58 -25 = $33, a customer gets a difference in number of 5 -2 = 3 pizzas. Then a pizza costs $33/3 = $11.
The cost of 2 pizzas is $22, so the delivery charge is $25 -22 = $3.
For $80, after subtracting the $3 delivery charge, $77 goes to the cost of pizzas. For that amount, $77/$11 = 7 pizzas will be delivered.
Answer: Doubling the radius.
Step-by-step explanation:
The volume of a cone can be found with the following formula:
Where "r" is the radius and "h" is the height of the cone.
Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.
Identifiying that:
You get this volume:
If you double the radius, the volume of the conical tent will be:
When you divide both volumes, you get:
Therefore, doubling the radius will quadruple the volume of the tent.
Answer:
y = 50 + 25x.............(i)
y = 80 + 15x.............(ii)
x = 3
y = 125
Step-by-step explanation:
The tucker Gym charges a one time fee of $50 plus a $25 monthly membership charge.
The NoFo health club charges a one time fee of $80 plus a $15 monthly membership fee.
Let
number of month = x
total cost = y
Tucker Gym
y = 50 + 25x.............(i)
NoFo Gym
y = 80 + 15x.............(ii)
combining the equation
y = 50 + 25x.............(i)
y = 80 + 15x.............(ii)
y - 50 = 25x
y/25 - 2 = x
insert x in equation (ii)
y = 80 + 15(y/25 - 2)
y = 80 + 3y/5 - 30
y = 50 + 3y/5
y - 3y/5 = 50
5y - 3y/5 = 50
2y/5 = 50
cross multiply
2y = 250
y = 250/2
y = 125
insert y in equation (i)
125 = 50 + 25x
125 - 50 = 25x
75 = 25x
x = 75/25
x = 3
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>
