Step-by-step explanation:
the average rate of change of a function f in an interval [x-low, x-high] is
(f(x-high) - f(x-low)) / (x-high - x-low)
the year 2000 means t = 2000-1980 = 20
the year 2015 means t = 2015-1980 = 35
so, we have
(A(35) - A(20)) / (35 - 20)
((-0.6(35)² + 37.2×35 + 243) - (-0.6(20)² + 37.2×20 + 243)) / 15
((-735 + 1302 + 243) - (-240 + 744 + 243)) / 15
(810 - 747) / 15 = 63/15 = 4.2
the average change rate between 2000 and 2015 is 4.2.
that means that the use of nuclear energy in the USA increased by 4.2 billions of kilowatt hours per year during that period.
Step-by-step explanation:
first one c/a
second one b/a
Answer:
Step-by-step explanation:
m∠2 = 52° [Alternate interior angles]
m∠1 + m∠2 = 180° [Linear pair of angles are supplementary]
m∠1 = 180° - 52°
m∠1 = 128°
m∠3 = 47° [Alternate interior angles]
m∠5 + 52° + 47° = 180° [Sum of linear angles is 180°]
m∠5 = 180° - 99°
= 81°
m∠4 + 47° = 180° [Sum of consecutive interior angles is 180°]
m∠4 = 180° - 47°
m∠4 = 137°
Answer:
12
Step-by-step explanation:
using pythagoras theorem
here 15 is hypotenuse since it is opposite 0f 90 degree
9 and x are the other smaller sides of a triangle
according to pythagoras thorem the sum of square of two smaller sides of a triangle is equal to the square of hypotenuse. So,
9^2 + x^2 = 15^2
81 + x^2 = 225
x^2 = 225 - 81
x^2 = 144
x = 
x = 12
