132 + 146 + c is greater than or equal to 325, and c is greater than or equal to 47.
9 thats the answer mdas ok
Answer:
a = 51°
b = 67°
Step-by-step explanation:
Angle a is equal to 51 since it is vertically opposite to the angle on top of it.
Angles in a triangle add up to 180 so Angles a,b and 62 should add up to 180:
a+b+62=180
51+b+62=180
b= 180-(51+62)
b= 180-113
b= 67
<u><em>Answer: = a⁷</em></u>
Step-by-step explanation:
add by the exponents. add it's add all together with exponents.
a³⁺a⁴=a⁷
=a⁷ and 7.
Hope this helps!
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Have a great day!
Answer:
The average cost is minimized for x=1.58.
Step-by-step explanation:
The cost function is C(x) = 2x 2− 3x + 5, where x is the number of items produced.
The average cost is C(x)/x, that is the total cost divided by the units produced.
Then the average cost function A(x) becomes:
![A(x)=\dfrac{C(x)}{x}=\dfrac{2x^2-3x+5}{x}=2x-3+5x^{-1}](https://tex.z-dn.net/?f=A%28x%29%3D%5Cdfrac%7BC%28x%29%7D%7Bx%7D%3D%5Cdfrac%7B2x%5E2-3x%2B5%7D%7Bx%7D%3D2x-3%2B5x%5E%7B-1%7D)
To optimize this function, we derive and equal to zero:
![\dfrac{dA}{dx}=0\\\\\\\dfrac{dA}{dx}=2+5(-1)x^{-2}=0\\\\\\2-5x^{-2}=0\\\\x^{-2}=2/5\\\\x^2=5/2\\\\x=\sqrt{5/2}\approx1.58114\\](https://tex.z-dn.net/?f=%5Cdfrac%7BdA%7D%7Bdx%7D%3D0%5C%5C%5C%5C%5C%5C%5Cdfrac%7BdA%7D%7Bdx%7D%3D2%2B5%28-1%29x%5E%7B-2%7D%3D0%5C%5C%5C%5C%5C%5C2-5x%5E%7B-2%7D%3D0%5C%5C%5C%5Cx%5E%7B-2%7D%3D2%2F5%5C%5C%5C%5Cx%5E2%3D5%2F2%5C%5C%5C%5Cx%3D%5Csqrt%7B5%2F2%7D%5Capprox1.58114%5C%5C)
The average cost is minimized for x=1.58.