Answer:
7
Step-by-step explanation:
Answer:
c) 18 units
d) 1 second
Step-by-step explanation:
h = -16t² - 4t + 20
c) t = 0.25
h = -16(0.25)² - 4(0.25) + 20
h = 18
d) -16t² - 4t + 20 = 0
4t² + t - 5 = 0
4t² + 5t - 4t - 5 = 0
t(4t + 5) - (4t + 5) = 9
(4t + 5)(t - 1) = 0
t = -1.25, 1
t = 1 second
Answer:
The variation rate is 4.07 × 10⁻⁵ cm²/ºC
Step-by-step explanation:
The relationship of the change in length as a function of the temperature, which are given in this problem can be written by the expression for the area of a rectangle
a = L × W
Differentiating both sides,
= 
= W
+ L 
The values they give us are
= 1.1 × 10⁻⁵ cm/ºC
= 8.9 × 10⁻⁶ cm/ºC
W = 1.6 cm
L= 2.6 cm
Substituting the values and calculating
= (1.6 × 1.1 × 10⁻⁵) + (2.6 × 8.9 × 10⁻⁶)
= (1.76 × 10⁻⁵) + (2.31 × 10⁻⁵)
= 4.07 × 10⁻⁵ cm²/ºC
The variation rate is 4.07 × 10⁻⁵ cm²/ºC
0.625 day to grow 1 cm.
16/10 = 1.6 cm in 1 day.