Answer:
A circle can intersect a parabola in
1. One point [ when circle just touches the parabola]
2. Two points [ When circle cuts the parabola in two distinct points. ]
3. Three points [Circle just touches at one point and cuts the parabola in two distinct points]
4. Four points [ Either parabola or circle meeting each other or crossing at four distinct points]
The sound intensity of the Pile Driver is 39.5
or nearly 40 times the sound intensity of the jackhammer.
Given with Loudness in dB for pile driver = 112 dB
We have to convert it in terms of sound intensity.
First,
112dB/10 = 11.2
Then we'll use this as exponent of 10
(10)^(11.2) = 1.5849 * 10 ^ 11
Then use the equation of Watts per square meter to find the intensity:
I / (10^-12 W/m^2) =1.5849 * 10 ^ 11
I = sound intensity = 0.158
Then compare:
Sound intensity of Pile Driver/ Sound intensity of Jackhammer
(0.158) / (0.004)
= 39.5
or nearly 40 times the jackhammer.
The single game ticket only costs 8g per ticket. The Season tickets costs 1.19 (I had added them). The 8 is lesser than 1.19. So the Season tickets costs more than the Single Game tickets (I hope this helped!).
Answer:
![(\sqrt[7]{3} )^{4}](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7B3%7D%20%29%5E%7B4%7D)
Step-by-step explanation:
The only radical that matches the equivalent answer is the fifth one down. We can easily eliminate the radicals without exponents on the outside, since we know they won't create leftover fractions. So that leaves us with the second, fourth and fifth answers to contemplate.
Let's look at ![(\sqrt[4]{3} )^{7}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7B3%7D%20%29%5E%7B7%7D)
and ![\sqrt[4]{3^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B3%5E%7B7%7D%20%7D)
first. It's good to know that these are equivalent radicals. The numbers are the same, and they will produce the same answers.
When you do the math, the exponent rule gives us fractions of 
for exponents, and eventually, a 
for both answers. So these are eliminated.
Now, for ![(\sqrt[4]{3}^{7}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7B3%7D%5E%7B7%7D)
, we can easiy simplify by changing the 7th root to a fraction in our exponent. Use the rule: ![\sqrt[n]{x} = x^{\frac{1}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%20%7D)
- <em>Multiply the exponents:</em>
- <em>Insert the product into the exponent: </em> <u>
</u>
And we can see the answer we're looking for! If you use this method to look at the other problems, you'll see that this is the only radical that simplifies to the required answer.
