Answer:
47 and 2/5
Step-by-step explanation:
Answer:
-7/2 or -3.5
Step-by-step explanation:
Make the equation first
7x-1 = 5x-8
7 = -2x
-7/2 = x
The area of the parallelogram is 40 centimeters
Answer:
Polynomial expression that represents the area of blanket:
![A(x)=(6x^2+5x-21)cm^2](https://tex.z-dn.net/?f=A%28x%29%3D%286x%5E2%2B5x-21%29cm%5E2)
If
:
Step-by-step explanation:
The area of the rectangle can be calculated with the formula:
![A=lw](https://tex.z-dn.net/?f=A%3Dlw)
Being l the lenght of the rectangle and w the width of the rectangle.
In this case, the lenght and the width are represented with:
![l=(3x+7)cm](https://tex.z-dn.net/?f=l%3D%283x%2B7%29cm)
![w=(2x-3)cm](https://tex.z-dn.net/?f=w%3D%282x-3%29cm)
Substitute them into
:
![A(x)=(3x+7)(2x-3)](https://tex.z-dn.net/?f=A%28x%29%3D%283x%2B7%29%282x-3%29)
Then:
Use Distributive property (Remember the Product of powers property:
):
![A(x)=(3x+7)(2x-3)\\A(x)=6x^2-9x+14x-21](https://tex.z-dn.net/?f=A%28x%29%3D%283x%2B7%29%282x-3%29%5C%5CA%28x%29%3D6x%5E2-9x%2B14x-21)
Add like terms:
(Simplied form)
Evaluate
:
![A(2)=(6(2)^2+5(2)-21)cm^2\\A(2)=(6(4)+10-21)cm^2\\A(2)=(24-11)cm^2\\A(2)=13cm^2](https://tex.z-dn.net/?f=A%282%29%3D%286%282%29%5E2%2B5%282%29-21%29cm%5E2%5C%5CA%282%29%3D%286%284%29%2B10-21%29cm%5E2%5C%5CA%282%29%3D%2824-11%29cm%5E2%5C%5CA%282%29%3D13cm%5E2)
Answer:
The population growth rate is <u>59</u> squirrels per year.
Step-by-step explanation:
Given:
A population of squirrels on an island has a carrying capacity of 350 individuals. If the maximum rate of increase is 1.0 per individual per year and the population size is 275.
Now, to find the population growth rate.
Carrying capacity (
) = 350.
Maximum rate (
) = 1.0 per individual per year.
Population size (
) = 275.
Now, to get the population growth rate we put formula:
![\frac{dN}{dT}= r_{max}\frac{K-N}{K}N](https://tex.z-dn.net/?f=%5Cfrac%7BdN%7D%7BdT%7D%3D%20r_%7Bmax%7D%5Cfrac%7BK-N%7D%7BK%7DN)
![\frac{dN}{dT}=1.0\times \frac{350-275}{350}\times 275\\\\\frac{dN}{dT}=1.0\times \frac{75}{350}\times 275\\\\\frac{dN}{dT}=1.0\times 0.214\times 275\\\\\frac{dN}{dT}=58.85.](https://tex.z-dn.net/?f=%5Cfrac%7BdN%7D%7BdT%7D%3D1.0%5Ctimes%20%5Cfrac%7B350-275%7D%7B350%7D%5Ctimes%20275%5C%5C%5C%5C%5Cfrac%7BdN%7D%7BdT%7D%3D1.0%5Ctimes%20%5Cfrac%7B75%7D%7B350%7D%5Ctimes%20275%5C%5C%5C%5C%5Cfrac%7BdN%7D%7BdT%7D%3D1.0%5Ctimes%200.214%5Ctimes%20275%5C%5C%5C%5C%5Cfrac%7BdN%7D%7BdT%7D%3D58.85.)
<u><em>So, rounding to nearest whole number of the population growth rate is 59 squirrels per year.</em></u>
Therefore, the population growth rate is 59 squirrels per year.