Answer:
The highest rate of birds is during the years 4 to 3
(remember that the lowest digit of number of negative is the highest and the highest is the lowest)
Step-by-step explanation:
Rate of Changes:
1 to 2: 5080.86 - 5238/ 2 - 1
= -157.14/1
= (convert to decimal) -157.1
2 to 3: 4928.43 - 5080.86/ 3 - 2
= -152.43/ 1
= -152.43
3 to 4: 4780.58 - 4928.43/ 4 - 3
= -147.85/ 1
= -147.85
Answer:
1200 signatures are needed
Step-by-step explanation:
t = total number of signatures
t * 36% = 432
Change to decimal form
.36t = 432
Divide each side by .36
.36t/.36 = 432/.36
t =1200
1200 signatures are needed
Answer:
32
Step-by-step explanation:
Substitute x = 6 into f(x), that is
f(6) = 6² - 4 = 36 - 4 = 32
Answer:
34.64 ft
Step-by-step explanation:
Distance from the building = 20 ft
Angle of inclination = π/3 radians
The tangent of the angle of inclination must equal the height of the building divided by the distance of the observer from the building:

The building is 34.64 ft tall
Answer:
k = 4 units
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
k² + 7.5² = 8.5²
k² + 56.25 = 72.25 ( subtract 56.25 from both sides )
k² = 16 ( take the square root of both sides )
k =
= 4