Answer:
11
Step-by-step explanation:
11+5=16
16 x 6=96
Answer:the fraction of the total parade vehicles that are motorcycles is 2/9
Step-by-step explanation:
Let x represent the total number of parade vehicles.
Two thirds of the parade vehicles were vintage vehicles. This means that the total number of vintage vehicles would be
2/3 × x = 2x/3
1⁄3 of the vintage vehicles were motorcycles. This means that the total number of motorcycles would be
1/3 × 2x/3 = 2x/9
Therefore, the fraction of the total parade vehicles that are motorcycles would be
2x/9/x = 2/9
Step 1:
Start by putting

in front of each term
![\frac{d}{dx}[y cos x]= \frac{d}{dx}[5x^2]+ \frac{d}{dx}[ 3y^2]](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%5By%20cos%20x%5D%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B5x%5E2%5D%2B%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%203y%5E2%5D)
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Step 2:
Deal with the terms in 'x' and the constant terms
![\frac{d}{dx}[ycosx]= 10x+ \frac{d}{dx} [3y^2]](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bycosx%5D%3D%2010x%2B%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5B3y%5E2%5D%20%20)
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Step 3:
Use the chain rule for the terms in 'y'
![\frac{d}{dx}[ycosx]=10x+6y \frac{dy}{dx}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bycosx%5D%3D10x%2B6y%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20)
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Step 4:
Use the product rule on the term in 'x' and 'y'


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Step 5:
Rearrange to make

the subject


![[cos(x) - 6y] \frac{dy}{dx}=10x + y sin(y)](https://tex.z-dn.net/?f=%5Bcos%28x%29%20-%206y%5D%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%3D10x%20%2B%20y%20sin%28y%29%20)

⇒ Final Answer
Answer:
180/t = r
Step-by-step explanation:
In this question, we would have to write an equation that represents the scenario given.
We know that the car traveled 180 miles at a constant rate.
We would use the y = mx + b format for the equation, but replacing the variables with "r" and "t"
We know that 180 will be our y-variable, since that would be the base of the equation:
180 = ???
And to find how long/fast it will take the car, we would need to multiply the rate of speed "r" and time "t" in order to get our distance.
Plug it into the equation:
180 = rt
With this set up, you can find the rate of speed of the car when you know the time.
You would simply solve it as:
180/t = r
Funtion ! in vertex form is given by
<span>f(x) = 4x^2 + 8x + 1</span> = 4(x^2 + 2x + 1/4) = 4(x^2 + 2x + 1 + 1/4 - 1) = 4(x + 1)^2 + 4(-3/4) = 4(x + 1)^2 - 3
Thus, the least minimun value is (-1, -3)
Also, the least minimum value of function 2 is (-1, 0)
Therefore, function 1 has the least minimum value at (-1, -3)