andrew is a public health nurse and has noticed that the birth rate in one small area has been declining. Predict the number of births in year 5? 720,360,180,90,?

Answer:

30.113

Step-by-step explanation:

r(t) = (t³, 2 sin t)

The distance traveled is the length of the path (arc length):

L = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt

L = ∫₁ᵖⁱ √((3t²)² + (2 cos t)²) dt

L = ∫₁ᵖⁱ √(9t⁴ + 4 cos²t) dt

Using a calculator:

L ≈ 30.113

Notice that distance is not the same as displacement.  If we wanted to find the displacement:

r(π) = (π³, 0)

r(1) = (1, 2 sin 1)

Δr = √((π³ − 1)² + (0 − 2 sin 1)²)

Δr ≈ 30.053

Answer:

Area = 104 m²

Step-by-step explanation:

the figure is composed of a rectangle and a triangle

area of rectangle = length × breadth = 10 × 8 = 80 m²

area of triangle = × base × perpendicular height

the base of the triangle is opposite the 8 m side of the rectangle and is 8 m

the perpendicular height of the triangle is 6m , then

area of triangle = × 8 × 6 = 4 × 6 = 24 m²

sum the areas of the two parts

area = 80 + 24 = 104 m²

Answer:

7/3x  +  2/3 = 7/9x  -  5/6

7/3x  -  7/3x  +  2/3 = 7/9x - 7/3x  -  5/6     (7/9x-7/3x--->7/9x-21/9x---> -14/9x)

2/3= -14/9x - 5/6

2/3+5/6 = -14/9x - 5/6 + 5/6  -  (2/3 + 5/6---> 4/6 + 5/6---> 9/6 ----> 3/2)

3/2 = -14/9x

3/2   /    -14/9  =  -14/9x   /   -14/9 -   (3/2   /   -14/9 ------>  3/2  x  -9/14 ----->

- 27/28)

-27/28  =  x

Step-by-step explanation:

Answer:

  1/8 lb

Step-by-step explanation:

Each person gets 1/6 of the total amount, so ...

  (1/6)(3/4 lb) = 3/24 lb = 1/8 lb

Each person gets 1/8 pound of peanuts.