Answer:
graph (b)
Explanation:
The farm started with 40 sheep and the number doubled each year.
So, the equation modeling this situation would be:
N(x) = 40*(2)^2
By getting the equation, we can notice that we already excluded the third and fourth choices as they have the wrong equations.
Now, we will need to select the right graph which is either graph a or graph b.
To do this, we will get the value of N(x) for different values of x as follows:
At x = 0: N(0) = 40*(2)^0 = 40
At x = 1: N(1) = 40*(2)^1 = 80
At x = 1: N(2) = 40*(2)^2 = 160
Now, taking a look at graph a, we will find that:
N(1) = 120
N(2) = 360
These numbers are not the same as the numbers we calculated, therefore, this graph is wrong
Taking a look at graph b, we will find that:
N(1) = 80
N(2) = 160
These numbers are exactly the same as the ones calculated, therefore, this graph is the correct one.
Hope this helps :)
Using it's concept, there is a 0.125 = 12.5% probability that the escape happens at 4.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
Considering that the bounds for a discrete brownian walk is [-3, 4], the possible outcomes are:
-3, -2, -1, 0, 1, 2, 3, 4.
A escape at 4 is one outcome, hence the probability is given by:
p = 1/8 = 0.125.
0.125 = 12.5% probability that the escape happens at 4.
More can be learned about probabilities at brainly.com/question/14398287
#SPJ4
Answer:
![\sqrt[7]{x^{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B4%7D%7D)
![(\sqrt[7]{x})^{4}](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7Bx%7D%29%5E%7B4%7D)
Step-by-step explanation:
we have
Remember the properties
![\sqrt[n]{a^{m}}=a^{\frac{m}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%7D%3Da%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D)
so
<u><em>Verify each case</em></u>
Part 1) we have
![\sqrt[4]{x^{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B7%7D%7D)
we know that
![\sqrt[4]{x^{7}}=x^{\frac{7}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B7%7D%7D%3Dx%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D)
Compare with the given expression
Part 2) we have
we know that
![\sqrt[7]{x^{4}}=x^{\frac{4}{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B4%7D%7D%3Dx%5E%7B%5Cfrac%7B4%7D%7B7%7D%7D)
Compare with the given expression
therefore
Is equivalent to the given expression
Part 3) we have
we know that
Compare with the given expression
therefore
Is equivalent to the given expression
Part 4) we have
we know that
Compare with the given expression
Part 5) we have
![(\sqrt[4]{x})^{7}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7Bx%7D%29%5E%7B7%7D)
we know that
![(\sqrt[4]{x})^{7}=(x^{\frac{1}{4}})^{7}=x^{\frac{7}{4}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7Bx%7D%29%5E%7B7%7D%3D%28x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%29%5E%7B7%7D%3Dx%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D)
Compare with the given expression
Part 6) we have
we know that
![(\sqrt[7]{x})^{4}=(x^{\frac{1}{7}})^{4}=x^{\frac{4}{7}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7Bx%7D%29%5E%7B4%7D%3D%28x%5E%7B%5Cfrac%7B1%7D%7B7%7D%7D%29%5E%7B4%7D%3Dx%5E%7B%5Cfrac%7B4%7D%7B7%7D%7D)
Compare with the given expression
therefore
Is equivalent to the given expression
Answer:
8 turkey burgers
Step-by-step explanation:
1/4 x 8 = 2
