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:
To be dropped, the client must have debts of $949.40 or lower.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Bottom 2.5%
The 2.5th percentile and lower.
The 2.5th percentile is X when Z has a pvalue of 0.025. So X when Z = -1.96. Then
To be dropped, the client must have debts of $949.40 or lower.
Answer:
With every other lever 10% of the energy with be transferred. In this case: Primary Producers (500) 1) First- level consumer. (50) 2) Second-level consumer. (5) 3) Third- level consumer. (0.5) Remember the formula is:(Primary Producer) __units X 10%= __500 units X 10%= 50
50 units of energy will be the first level consumers stored.
5 units of energy will be the second level consumers stored.
Step-by-step explanation:
Answer:
The volume of the larger cube is 
Step-by-step explanation:
Let
x ---> the length of the smaller cube
y ---> the length of the larger cube
we know that
the volume of a cube is equal to
where
b is the length side of the cube
we have
----> equation A
The volume of the smaller cube is 216 cm^3
so
substitute in the formula of volume
solve for x
![x=\sqrt[3]{216}\ cm](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B216%7D%5C%20cm)
<em>Find the value of y</em>
<em>Find the volume of the larger cube</em>
substitute the value of y
You can start with the equation of
(1/6)x8+(1/8)x6+(1/12)x X=3
Multiply by common denominator of 24 to get
32+18+2x=72
Simplify it we get
50+2x=72
Eliminate using algebra (because it’s add 50 take away the 50 on both sides)
2x=22
Because it’s X2 divide by 2 on both sides
x=11
It will take 11 days
