Answer:
Is it health club c for the second one?
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Yes, that is possible because whenever one number is a factor of the other one, it's their greatest common factor. Here are some examples.
2 and 200
10 and 100
13 and 52
one thousand and one million
Answer:
Rate of increase in height =![\frac{dh}{dt}=0.3156ft/min](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D0.3156ft%2Fmin)
Step-by-step explanation:
we know that volume of a cone is given by
![V=\frac{1}{12}\pi d^{2}h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%20d%5E%7B2%7Dh)
It is Given that diameter equals height thus we have
![V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%20h%5E%7B2%7Dh%5C%5C%5C%5CV%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%20h%5E%7B3%7D)
Differentiating both sides with respect to time we get
![\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%20%5Cfrac%7Bdh%5E%7B3%7D%7D%7Bdt%7D%5C%5C%5C%5C%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B12%7D%5Cpi%283h%5E%7B2%7D%5Cfrac%7Bdh%7D%7Bdt%7D%29)
Applying values and solving for
we get
![\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B12%5Cfrac%7BdV%7D%7Bdt%7D%7D%7B3%5Cpi%20h%5E%7B2%7D%7D%5C%5C%5C%5C%5Cfrac%7Bdh%7D%7Bdt%7D%3D0.3156ft%2Fmin)
Answer:
<h3>The given polynomial of degree 4 has atleast one imaginary root</h3>
Step-by-step explanation:
Given that " Polynomial of degree 4 has 1 positive real root that is bouncer and 1 negative real root that is a bouncer:
<h3>To find how many imaginary roots does the polynomial have :</h3>
- Since the degree of given polynomial is 4
- Therefore it must have four roots.
- Already given that the given polynomial has 1 positive real root and 1 negative real root .
- Every polynomial with degree greater than 1 has atleast one imaginary root.
<h3>Hence the given polynomial of degree 4 has atleast one imaginary root</h3><h3> </h3>
Answer: Second option.
Step-by-step explanation:
Given the functions f(x) and g(x):
![f(x)=12x^2-4x-8\\\\g(x)=11x-6](https://tex.z-dn.net/?f=f%28x%29%3D12x%5E2-4x-8%5C%5C%5C%5Cg%28x%29%3D11x-6)
You need to divide them in order to find
asked in the exercise. Then:
![(\frac{f}{g})(x) =\frac{12x^2-4x-8}{11x-6}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%20%3D%5Cfrac%7B12x%5E2-4x-8%7D%7B11x-6%7D)
Now, it is important to remember that, by definition, the division by zero is not defined. Therefore, the denominator of the function cannot be zero.
Let's find the value of "x" for which the denominator of the function would be zero:
1. You need to make the denominator equal to zero:
![11x-6=0](https://tex.z-dn.net/?f=11x-6%3D0)
2. Finally, you must solve for "x":
![11x=6\\\\x=\frac{6}{11}](https://tex.z-dn.net/?f=11x%3D6%5C%5C%5C%5Cx%3D%5Cfrac%7B6%7D%7B11%7D)
Therefore, as you can see, the answer is:
, ![x=\frac{6}{11}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B6%7D%7B11%7D)