Answer:
1. 94.25 is the surface area, 94.25 to 56.55 is the ratio of surface area to volume
2.138.23 is the surface area 138.23 to 113.1 is the ratio of surface area to volume
Answer:
16
Step-by-step explanation:
<h2>
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The maximum number of turning points in a cubic function is 2.
In this case,
![f(x)=3x^3-x^2+4x-2\implies f'(x)=9x^2-2x+4](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3-x%5E2%2B4x-2%5Cimplies%20f%27%28x%29%3D9x%5E2-2x%2B4)
The discriminant is
![(-2)^2-4(9)(4)=-140](https://tex.z-dn.net/?f=%28-2%29%5E2-4%289%29%284%29%3D-140%3C0)
, which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.
Answer:
C. -3/7
Step-by-step explanation:
Irrational numbers: cannot be written as a fraction
Rational numbers: can be written as a fraction
The only option that contains a fraction, is C
Hope this helps!
Answer:
![m= \frac{r_2 -r_1}{t_2 -t_1}= \frac{2000000-1000000}{14-4}=100000](https://tex.z-dn.net/?f=%20m%3D%20%5Cfrac%7Br_2%20-r_1%7D%7Bt_2%20-t_1%7D%3D%20%5Cfrac%7B2000000-1000000%7D%7B14-4%7D%3D100000)
And then we can use for example the first point
to find the intercept:
![1000000= 100000*4 + b](https://tex.z-dn.net/?f=%201000000%3D%20100000%2A4%20%2B%20b)
![b=600000](https://tex.z-dn.net/?f=b%3D600000)
So then the linear model for this case should be:
![r = 100000 t + 600000](https://tex.z-dn.net/?f=%20r%20%3D%20100000%20t%20%2B%20600000)
Step-by-step explanation:
For this case we want to find a linear model given by:
![r =mt+b](https://tex.z-dn.net/?f=%20r%20%3Dmt%2Bb)
Where r = represent the number of readers , t= years after 2000
m = the slope for the model and b the intercept
For this case we can define the following points from the data given:
4 years after 2000
14 years after 2000
We can find the slope with the following formula:
![m= \frac{r_2 -r_1}{t_2 -t_1}= \frac{2000000-1000000}{14-4}=100000](https://tex.z-dn.net/?f=%20m%3D%20%5Cfrac%7Br_2%20-r_1%7D%7Bt_2%20-t_1%7D%3D%20%5Cfrac%7B2000000-1000000%7D%7B14-4%7D%3D100000)
And then we can use for example the first point
to find the intercept:
![1000000= 100000*4 + b](https://tex.z-dn.net/?f=%201000000%3D%20100000%2A4%20%2B%20b)
![b=600000](https://tex.z-dn.net/?f=b%3D600000)
So then the linear model for this case should be:
![r = 100000 t + 600000](https://tex.z-dn.net/?f=%20r%20%3D%20100000%20t%20%2B%20600000)