Answer:
A) 32 kg/m
B) 48 kg/m
C) 72 kg/m
Step-by-step explanation:
We are given mass is; m = 4x²
Linear density is the derivative of mass with respect to the position x. So linear density is;
ρ = dm/dx
Differentiating 4x²,we have; ρ = 8x
A)at x = 4; ρ = 8(4) = 32 kg/m
B) at x = 6; ρ = 8(6) = 48 kg/m
C) at x = 9; ρ = 8(9) = 72 kg/m
Answer:
Step-by-step explanation:
- 162 total guests.
- 3 servers
Let the number of guests the second server helped be x.
then the first server helped 3x
then the third server helped [(3x)*2] = 6x
Equation in total:
6x + 3x + x = 162
10x = 162
x = 16.2
- First server helped: 3 * 16.2 = 49 guests
- Second server helped: 16 guests
- Third server helped: 6x = 6(16.2) = 97 guests
Answer:
Answer:
a = - 1.1
Step-by-step explanation:
Condition for a single variable function f(x) to be decreasing is f'(x) < 0.
So, in our case, .
Then, differentiating with respect to x on both sides we get,
⇒
⇒
{Dividing both sides with - 1 and hence the inequality sign changes}
⇒
⇒ 8 > - 6x³ {Multiplying both sides with x³}
⇒ 6x³ > - 8 {Interchanging the sides}
⇒
⇒ x > - 1.1
Therefore, a = - 1.1. (Answer)
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have to use Pythagorean theorem that says :
The missing length of the triangle is : 36 feet
