The maximum speed of a boat at 30 feet length of water is 0.093 nautical miles/hour or knots.
<u>Step-by-step explanation:</u>
- The equation for the maximum speed, s is given by s²= (16/9)x
- where, x is the length of the water line in feet.
It is given that, the modeled equation s²= (16/9)x is used to find the maximum speed in knots or nautical miles per hour.
The question is asked to find the maximum speed when the length of the water is 30 feet.
Therefore, to find the maximum speed in 30 feet water, the given modeled equation is used. So, substitute the 30 feet in place of x.
<u>Now, calculating the maximum speed :</u>
s² = (16/9)(30)
s² = 480 / 9
s² = 53.3
Taking square root on both sides,
s = √53.3
s = 7.3
The maximum speed of a boat at 30 feet length of water is 7.3 nautical miles/hour or knots.
Answer:
Option A.
; grows approximately at a rate of 0.4% daily
Step-by-step explanation:
we have

where
f(x) the number of weeds in the garden
x ----> the number of weeks
Calculate how quickly the weeds grow each day
Remember that a week is equal to seven days
so

Using the law of exponents
b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x
so
![f(x)=86[(1.29)^{\frac{1}{7}}]^{x}](https://tex.z-dn.net/?f=f%28x%29%3D86%5B%281.29%29%5E%7B%5Cfrac%7B1%7D%7B7%7D%7D%5D%5E%7Bx%7D)
![f(x)=86[1.04]^{x}](https://tex.z-dn.net/?f=f%28x%29%3D86%5B1.04%5D%5E%7Bx%7D)
therefore
The rate is approximately
1.04=1+r
r=1.04-1=0.04=4% daily
215 - 44.49 (I added the two deductions mentally) = 170.51
I see the percentages 2%, 1% and 3% add up to 6%
So we want 6% of 215 or .06 x 215 = $12.90
$170.51 - 12.90 = $157.61 net income.
Answer:
f'(x) = 1
General Formulas and Concepts:
<u>Calculus</u>
- Limit Properties:

- Definition of a Derivative:

Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x + 2
<u>Step 2: Find derivative</u>
- Substitute:

- Distribute:

- Combine like terms:

- Divide:

- Evaluate:

Answer:
Mixed Number : 2 
Improper Fraction : 
Step-by-step explanation: