Answer:
hope this helps UwU
Step-by-step explanation:
Answer:
Approximately 35 home runs
Step-by-step explanation:
we know that
![6\%=6/100=0.06](https://tex.z-dn.net/?f=6%5C%25%3D6%2F100%3D0.06)
To find out how many home runs the LA Angeles Dodgers hit, multiply the total home runs by 0.06
so
![583(0.06)=34.98\ home-runs](https://tex.z-dn.net/?f=583%280.06%29%3D34.98%5C%20home-runs)
therefore
Approximately 35 home runs
Answer:
$15700
Step-by-step explanation:
To find the cost, you multiply $50 by the area of the floor. The floor must be a circle ("radius"), so to find the area of a circle, use the formula![A=\pi r^2 \\ A=\pi(10)^2 \\ A=(3.14)(100)=314\text{ square feet}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2%20%5C%5C%20A%3D%5Cpi%2810%29%5E2%20%5C%5C%20A%3D%283.14%29%28100%29%3D314%5Ctext%7B%20square%20feet%7D)
Multiply 314 sq. ft. by the cost per sq. ft.
314 x 50 = 15700
Answer:
![(2-5i)(p+q)(i)=29i](https://tex.z-dn.net/?f=%282-5i%29%28p%2Bq%29%28i%29%3D29i)
Step-by-step explanation:
We have the product of 2 complex numbers
![(2-5i)(p+q)(i)](https://tex.z-dn.net/?f=%282-5i%29%28p%2Bq%29%28i%29)
We know that:
![p=2\\\\q=5i](https://tex.z-dn.net/?f=p%3D2%5C%5C%5C%5Cq%3D5i)
Then we substitute these values in the expression
![(2-5i)((2)+(5i))(i)](https://tex.z-dn.net/?f=%282-5i%29%28%282%29%2B%285i%29%29%28i%29)
![(2-5i)(2+5i)(i)](https://tex.z-dn.net/?f=%282-5i%29%282%2B5i%29%28i%29)
The product of a complex number
by its conjugate
is always equal to:
![a ^ 2 - (bi) ^ 2](https://tex.z-dn.net/?f=a%20%5E%202%20-%20%28bi%29%20%5E%202)
Then
![(2-5i)(2+5i)(i)=(2^2-5^2i^2)(i)](https://tex.z-dn.net/?f=%282-5i%29%282%2B5i%29%28i%29%3D%282%5E2-5%5E2i%5E2%29%28i%29)
Remember that:
![i=\sqrt{-1}\\\\i^2 = -1](https://tex.z-dn.net/?f=i%3D%5Csqrt%7B-1%7D%5C%5C%5C%5Ci%5E2%20%3D%20-1)
So
![(2^2-5^2i^2)(i)= (4 - 25(-1))(i)\\\\(4 - 25(-1))(i) = (4+25)i=29i](https://tex.z-dn.net/?f=%282%5E2-5%5E2i%5E2%29%28i%29%3D%20%284%20-%2025%28-1%29%29%28i%29%5C%5C%5C%5C%284%20-%2025%28-1%29%29%28i%29%20%3D%20%284%2B25%29i%3D29i)
Finally
![(2-5i)(p+q)(i)=29i](https://tex.z-dn.net/?f=%282-5i%29%28p%2Bq%29%28i%29%3D29i)
![f(x) = 2 {x}^{3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%20%7Bx%7D%5E%7B3%7D%20)
![f(2) = 2 \times {2}^{3} = 2 \times 8 = 16](https://tex.z-dn.net/?f=f%282%29%20%3D%202%20%5Ctimes%20%20%7B2%7D%5E%7B3%7D%20%3D%202%20%5Ctimes%208%20%3D%2016%20)
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![g(x) = x - 3](https://tex.z-dn.net/?f=g%28x%29%20%3D%20x%20-%203)
![g(4) = 4 - 3 = 1](https://tex.z-dn.net/?f=g%284%29%20%3D%204%20-%203%20%3D%201)
_________________________________
![(f + g)(x) = f(x) + g(x)](https://tex.z-dn.net/?f=%28f%20%2B%20g%29%28x%29%20%3D%20f%28x%29%20%2B%20g%28x%29%20)
![(f + g)(x) = 2 {x}^{3} + x - 3](https://tex.z-dn.net/?f=%28f%20%2B%20g%29%28x%29%20%3D%202%20%7Bx%7D%5E%7B3%7D%20%2B%20x%20-%203%20)
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Done...♥️♥️♥️♥️♥️