Answer:
B
Step-by-step explanation:
Although this problem is quite long and exhausting, it is deceptively simple.
We know that his 12-gallon fuel tank is only half full, so we know that the car needs 6 more gallons of fuel.
If he turns in the car late, he will have to pay y = 2.59x + 32.00, where x is the number of empty gallons (in this case, 6)
In this case, he will pay 2.59(6) + 32.00 = $47.54
If he turns in the car on time, he will have to pay y = 4.50x + 5.00, where x is the number of empty gallons (still 6).
In this case, he will pay 4.50(6) + 5.00 = $32.00
Using these results, we know that B must be true.
A polar coordinate is that which can be written as (r, θ) where r is the radius and θ is the angle.
The radius, r, is also the hypotenuse of the right triangle that can be formed. Hence, it can be calculated through the equation,
r² = x² + y²
If we are to simplify this for the r alone, we have,
r = sqrt (x² + y²)
Substituting the known values,
r = sqrt ((4)² + (-4)²) = 4√2
The x and y can be related through the trigonometric function, tangent.
tan θ = y/x
To solve for θ
θ = tan⁻¹(y/x) = tan⁻¹(-4/4) = -45° = 315°
Hence, the polar coordinate is <em>(4√2, 315°)</em>
You would have to do this (1.25X3)+(0.45X2)=x then x=4.65, because 3X1.25=3.75 and 2X0.45=90 and 3.75+90=4.65
A) 125 * 10 = 1250 chinchillas in a year;
1250 * 2 = 2500 chinchillas in two years;
b) y = x + 433, where 433 = 933 - 500;
c) 933 + 433 = 1366 chinchillas they have <span>at the end of two years;</span>
