Solution: The average rate of change of 
represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.
Explanation:
The rate of change shows the change in first variable with respect to change in second variable.
If the rate of chang is given by it means second variable is decrease by 14 if the first variable increase by 3.
In the context of water slide it shows that the vertical height of slide is decreased by 14 units as we cover the distance of 3 units.
If we cover the distance from x = 0 to x = 15, it means we cover the distance of 15 units.
Let the vertical height of the slide covered from x = 0 to x =15 be y.
It means when distance increased by 15 units the height of slide decreased by y units.
So rate of change = 
.
It is given that the rate of change is .
Equate both equations.
Therefore, the average rate of change of represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.
Answer:
(3, $42)
\
Step-by-step explanation:
Geraldo gets paid the same hourly rate from day to day. This rate is the slope of the line representing his earnings. It is m = rise/run, which here is
m = $84/(6 hr), or m = $14/hr. Thus, the equation representing his earnings is y = ($14/hr)x.
The ordered pair (3, $42) satisfies this equation. None of the other three do.
<span>11,550 km has to be changed to 11,550,000 meters
G · m · t² = 4 · π² · r³ we can change that to
</span>t² = (4 · π² · r³) / <span>(G · m )
t^2 = 4*PI^2*r^3 / (G*m)
</span>t^2 = 4*PI^2*<span>(11,550,000)^3 / 6.67*10^-11*5.98*10^24kg
t^2 = </span>
<span>
<span>
<span>
6.083*10^22
</span>
</span>
</span>
<span><span>
</span>
</span>
/
<span>
<span>
<span>
3.9</span></span></span>9 * 10^14
t^2 =
<span>
<span>
<span>
152,500,000</span></span></span>
t = <span>12,350 seconds
</span>and its orbital distance it travels is 11,550 * 2*PI = 70,050 kilometers
Therefore, it is traveling at 70,050 km / 12,350 second which equals
5.67 km per second which <em>is 5,670 meters per second.</em>
Source:
http://www.1728.org/kepler3a.htm
Answer:
Step-by-step explanation:
Total cost for the three nights
Total_3 = $298.17 + 3*u
Where <em>u </em>represents the unknown fees for a single day
To find the daily cost, we divide the previous equation by three
Daily cost = ($298.17 + 3*u)/3
Daily cost = ($99.39 + u)
So, if we create an inequality for the daily cost
Let x = Daily cost
x > $99.39
She will pay more than $99.39 per night
Answer:
$9 for 36
Step-by-step explanation:
Divide the price by the quantity to receive the unit price. Here are the unit prices for each option:
1. $0.54
2. $0.43
3. $0.31
4. $0.28
5. $0.25
Basically, you want the lowest price. So, $9 for 36 is the best value because it costs $0.25 per pen.
