Answer: -8.93
Step-by-step explanation:
Given the function:
N(X) = 90(0.86)^x+ 69
X in the interval [0, 6]
For X = 0
N(0) = 90(0.86)^0 + 69
90 + 69 = 159
For X = 6
N(6) = 90(0.86)^6 + 69
90(0.404567235136) + 69
= 105.41105116224
Therefore, average change of change in temperature ;
(temp 2 - temp 1) / ( time 2 - time)
(105.41105116224 - 159) / (6 - 0)
= - 53.58894883776 / 6
= - 8.93149147296
= - 8.93
Answer:
8.31
Step-by-step explanation:
Using the Pythagorean Theorem:






The side length for
, rounded to the nearest hundredths, would be 8.31.
Answer:
Length of the thread = 30 metres
Step-by-step explanation:
Length of the thread in one round of a reel = Circumference of the reel
C = 
Since radius of the reel = 
= 
= 2.5 cm
Circumference of the reel = 2(π)(2.5)
= 5π
= 5×3
= 15 cm
Length of the thread wound in one round around the reel = 15 cm
Since, thread is wound 200 times round a reel, length of the thread
= 200 × 15
= 3000 cm
≈ 30 metres
Therefore, Option (B) will be the answer.
The answer is 37.68 units^2
Answer:
See diagram
Step-by-step explanation:
The line with the slope of
has the equation

This line passes through the point (-1,2), so

The line has the equation

This line intersects the y-axis at point (0,0.5) and the y-axis at point (1/3, 0). Plot these points and connect them with the straight line (see attached diagram)