Answer:
542.50
Step-by-step explanation:
Given:
Least square regression equation :
y = 102.50 + 0.65x + residual
y = predicted fare
x = distance in miles
Intercept = 102.50
Slope = 0.65
Distance in miles, x = 500 miles
y = 102.50 + 0.65(500) + 115
y = 102.50 + 325 + 115
y = 427.5 + 115
y = 542.50
Answer:
5 feet
Step-by-step explanation:
The statue is 2 inches tall and 1 inch=2.5
Multiply 2.5 by 2 for a 2 inch statue
2.5×2=5
d/dx cos^2(5x^3)
= d/dx [cos(5x^3)]^2
= 2[cos(5x^3)]
= - 2[cos(5x^3)] * sin(5x^3)
= - 2[cos(5x^3)] * sin(5x^3) * 15x^2
= - 30[cos(5x^3)] * sin(5x^3) * x^2
Explanation:
d/dx x^n = nx^(n - 1)
d/dx cos x = - sin x
Chain rule:
d/dx f(g(...w(x))) = f’(g(...w(x))) * g’(...w(x)) * ... * w’(x)