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:
1.
ft 2.
yards 3.
units.
Step-by-step explanation:
Pythagorean's Theorem 
A and b are both side lengths, c is the hypotenuse.
7^2 + 5^2 = 74
sqrt(74) is the answer for 1.
30^2 - 5^2 = 875
Simplify the radical. sqrt(875) --> 5sqrt(35). The answer for three.
There's a rule in geometry that says a diagonal of a square is the same length as taking a side length times the square root of two. There's your answer for two.
General Idea:
The volume of cylinder is given by
, where r is the radius and h is the height of the cylinder.
Applying the concept:
Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.
Volume of full cylinder 
Volume of half cylinder 
Step 2: Let x be the number of minutes of filling the sand.
of sand filled every 15 seconds, there are four 15 seconds in a minute.
So volume of sand filled in 1 minute
.
of sand taken out of cylindrical vase every minute.
Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute
Net volume of sand filled in 1 minute
Volume of sand filled in x minutes
.
We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.

Conclusion:
The number of minutes required for the base be half filled with sand is 57
Answer:
Dog Clients = 770
Cat Clients = 154
Step-by-step explanation:
1) We are given 5/6 and the number 924. To find the total dog clients, we need to multiply 5/6 by 924 = 770.
2) To find the cat clients, we subtract the dog clients (770) from the total amount of clients, which gives us 154