46 - 4 = 3b + 3
Simplify the left side:
42 = 3b + 3
Subtract 3 from both sides:
39 = 3b
Divide both sides by 3:
b = 13
Answer:
48
Step-by-step explanation:
180- 59- 52 = 69
Therefore,
69 + x + 63 = 180
x = 48
Thenks and mark me brainliest :)
Answer:
![e^{2x}(2x^3+3x^2)](https://tex.z-dn.net/?f=e%5E%7B2x%7D%282x%5E3%2B3x%5E2%29)
Step-by-step explanation:
Use the Product Rule (uv)' = uv' + u'v
![\frac{d}{dx}(x^3 e^{2x})=x^3\frac{d}{dx}(e^{2x})+\frac{d}{dx}(x^3)e^{2x}\\=x^3(2e^{2x})+3x^2e^{2x}\\=e^{2x}(2x^3+3x^2)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%28x%5E3%20e%5E%7B2x%7D%29%3Dx%5E3%5Cfrac%7Bd%7D%7Bdx%7D%28e%5E%7B2x%7D%29%2B%5Cfrac%7Bd%7D%7Bdx%7D%28x%5E3%29e%5E%7B2x%7D%5C%5C%3Dx%5E3%282e%5E%7B2x%7D%29%2B3x%5E2e%5E%7B2x%7D%5C%5C%3De%5E%7B2x%7D%282x%5E3%2B3x%5E2%29)
Answer:
![5 = 19 - 4v](https://tex.z-dn.net/?f=5%20%3D%2019%20-%204v)
Step-by-step explanation:
We are given the following in the question:
![\text{Lyle's height} = 2( \text{Harry's height - Vince's height})](https://tex.z-dn.net/?f=%5Ctext%7BLyle%27s%20height%7D%20%3D%202%28%20%5Ctext%7BHarry%27s%20height%20-%20Vince%27s%20height%7D%29)
Let l be Lyle's height, h be Harry's height and v be Vince's height.
Thus, we can write:
![l = 2(h-v)](https://tex.z-dn.net/?f=l%20%3D%202%28h-v%29)
Lyle's Height =
![2\dfrac{1}{2}\text{ feet}](https://tex.z-dn.net/?f=2%5Cdfrac%7B1%7D%7B2%7D%5Ctext%7B%20feet%7D)
Harry's height =
![4\dfrac{3}{4}\text{ feet}](https://tex.z-dn.net/?f=4%5Cdfrac%7B3%7D%7B4%7D%5Ctext%7B%20feet%7D)
Putting the value in the equation:
![2\dfrac{1}{2} = 2(4\dfrac{3}{4}- v)\\\\\dfrac{5}{2} = \dfrac{19}{2} - 2v\\\\5 = 19 - 4v\\4v = 19-5\\\\v = \dfrac{14}{4}\\\\v = 3\dfrac{2}{4} = 3\dfrac{1}{2}](https://tex.z-dn.net/?f=2%5Cdfrac%7B1%7D%7B2%7D%20%3D%202%284%5Cdfrac%7B3%7D%7B4%7D-%20v%29%5C%5C%5C%5C%5Cdfrac%7B5%7D%7B2%7D%20%3D%20%5Cdfrac%7B19%7D%7B2%7D%20-%202v%5C%5C%5C%5C5%20%3D%2019%20-%204v%5C%5C4v%20%3D%2019-5%5C%5C%5C%5Cv%20%3D%20%5Cdfrac%7B14%7D%7B4%7D%5C%5C%5C%5Cv%20%3D%203%5Cdfrac%7B2%7D%7B4%7D%20%3D%203%5Cdfrac%7B1%7D%7B2%7D)
Thus, Vince's height is 3.5 feet.
V(barn) = 25×43×87 + 2×43:2×87
= 93525 + 3741
= 97266 ft³