Answer:
30.14
Step-by-step explanation:
- The formula for cirumference is 2(pi)r
- If the diameter equals 9.6 then the radius is 4.8
- 4.8 times 2 equals 9.6
- 9.6 times 3.14(pi) equals 30.144 which could be rounded to 30.14
x = # of days
y = total calories
Simba = 1000 + 140x = y
Cuddles = 2650 - 190x = y
Let's set both of these equations equal to each other
1000 + 140x = 2650 - 190x
Add 190x to both sides and subtract 1000 from both sides.
330x = 1650
Divide each side by 330
x = 5
After 5 days, they will be consuming the same amount of calories.
To find out how many calories they will be consuming, let's plug 5 into our Simba equation.
1000 + 140(5) = y
Multiply 140 by 5
1000 + 700 = y
Simplify
1700 = y
They will be consuming 1,700 calories each day.
It has to be the second one and it’s part of that answer or maybe it’s the third one
First we use product rule
y=x^2lnx
dy/dx = x^2 d/dx (lnx) + lnx d/dx (x^2)
dy/dx = x^2 (1/x) + lnx (2x)
dy/dx = x + 2xlnx
now taking second derivative:
d2y/dx2 = 1 + 2[x (1/x) + lnx (1)]
d2y/dx2 = 1 + 2[1+lnx]
1+2+2lnx
3+2lnx is the answer
