Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is A
Step-by-step explanation:
Now from the question we are given the function
![f(x) = \frac{10^{2 x} -4}{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7B10%5E%7B2%20x%7D%20-4%7D%7Bx%7D)
Now as ![\lim_{x \to 0} [f(x) ] = \frac{10^{2*0} -4 }{0}](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%200%7D%20%5Bf%28x%29%20%5D%20%3D%20%20%5Cfrac%7B10%5E%7B2%2A0%7D%20-4%20%7D%7B0%7D)
=> ![\lim_{x \to 0} [f(x) ] = - \infty](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%200%7D%20%5Bf%28x%29%20%5D%20%3D%20-%20%5Cinfty)
This implies that as
the function
which means that at x = 0 the function is not continuous
Answer: 5h+4=A
Step-by-step explanation:
She gets five dollars an hour so for one hour she gets five dollars, for two hours she gets 2 times 5 dollars (10 dollars), for three hours she gets 3 times 5 dollars (15 dollars) etc...
Now replace the 1,2,3... with the variable representing the hour. In this case it would be h. So 5h=five dollars per hour. Because you only put the kid to bed once, you add four at the end
Answer:
Umm... Try turning it on and off? If that doesn't work, I don't know.
Step-by-step explanation:
Answer:
θ = 60°
Step-by-step explanation:
The cross sectional area of the trapezoid shape will be that of a trapezoid with bases of 10 cm and (10 cm + 2·(10 cm)·cos(θ)) and height (10 cm)·sin(θ).
That area in cm² is ...
A = (1/2)(b1 +b2)h = (1/2)(10 + (10 +20cos(θ))(10sin(θ)
A = 100sin(θ)(1 +cos(θ))
A graphing calculator shows this area to be maximized when ...
θ = π/3 radians = 60°
_____
<em>A</em> will be maximized when its derivative with respect to θ is zero. That derivative can be found to be 2cos(θ)² +cos(θ) -1, so the solution reduces to ...
cos(θ) = 1/2
θ = arccos(1/2) = π/3
Divide 14/18 then divide 16/20. 14 divided 18 is .777 while 16 divided by 20 is .80. Therefore Trey did better.