Answer:
=0.3 per km²
Step-by-step explanation:
Population density is the population per uni area.
Area=πr² Where A is area and r is the radius of the circle.
A=3.14×34
=106.76km²
Population density = Population/Area
=32 antelopes/106.76 km²
=0.3 per km²
The population of antelopes within the given radius is 0.3 per km²
Answer:(7/8 - 4/5)^2 = 9
1600
= 0.005625
Step-by-step explanation:
Subtract: 7
8
- 4
5
= 7 · 5
8 · 5
- 4 · 8
5 · 8
= 35
40
- 32
40
= 35 - 32
40
= 3
40
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - seven eighths minus four fifths = three fortieths.
Exponentiation: the result of step No. 1 ^ 2 = (3
40
) ^ 2 = 32
402
= 9
1600
In words - three fortieths squared = nine one-thousand six-hundredths.
For this question we can solve it by setting up a proportion:

Now we can solve for x to find the total distance between the towns. Let's cross multiply and solve for x:


So now we know that
the total distance between the towns is 42.5 miles.
Answer:
The equation of Grant's path is y = 4 - x over 2 ⇒ 2nd answer
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
The formula of the slope of a line is 
∵ Grant's path is a line from point A to point B
∴ The equation of AB represents Grant's path
Lets find the slope of AB using the formula of the slope above
∵ A = (8 , 0)
∵ B = (-4 , 6)
∴
= 8 and
= -4
∴
= 0 and
= 6
∵ 
∴
Substitute the value of m in the form of the equation
∵ y = m x + b
∴ y =
x + b
∵ b is the value of y at x = 0
∵ y = 4 at x = 0 ⇒ from the figure
∴ b = 4
∴ y =
x + 4
We can write
x as 
∴ y =
+ 4
- Switch the two terms of the right hand side
∴ y = 4 - 
The equation of Grant's path is y = 4 - 