It’s the 3rd one I believe
Answer:
The base is: ![3 \sqrt[3]{4}](https://tex.z-dn.net/?f=3%20%5Csqrt%5B3%5D%7B4%7D)
Step-by-step explanation:
Given
![f(x) = \frac{1}{4}(\sqrt[3]{108})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%28%5Csqrt%5B3%5D%7B108%7D%29%5Ex)
Required
The base
Expand 108
![f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%28%5Csqrt%5B3%5D%7B3%5E3%20%2A%204%7D%29%5Ex)
Rewrite the exponent as:
Expand
Rewrite as:
![f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%283%20%5Csqrt%5B3%5D%7B4%7D%29%5Ex)
An exponential function has the following form:
Where
By comparison:
![b =3 \sqrt[3]{4}](https://tex.z-dn.net/?f=b%20%3D3%20%5Csqrt%5B3%5D%7B4%7D)
So, the base is:
Decimal form
-0.015625
Exact form
-1/60
Negative one over sixty
Answer:
45.
Step-by-step explanation:
There are 60 yogurts and 75 percent are raspberry.
To get the number of how many are raspberry, multiply the number of yogurts and the percentage that are raspberry.
60*.75=45.
Answer:
S = 180C²
18,000 lbs
Step-by-step explanation:
Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...
180, 540, 900
These are not constant, so the relation is not linear.
Second differences are ...
360, 360
These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...
S = 180·C²
__
The safe load for C=10 is then ...
S = 180·10² = 18,000 . . . pounds
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