Answer: 2x + 36 = 38x. Or, you find what ”x” is and go from there
Step-by-step explanation: for example, (”x” = 3) 2x3=6+36=42
Answer:
<em>t = 0.128</em>
Step-by-step explanation:
<u>Proportionality</u>
We are given the following proportionality rule: t is inversely proportional to the square of d. This can be written as:
![\displaystyle t=\frac{k}{d^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7Bk%7D%7Bd%5E2%7D)
Where k is the constant of proportionality. It can be found by using the condition: t=0.2 when d=8. Substituting:
![\displaystyle 0.2=\frac{k}{8^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%200.2%3D%5Cfrac%7Bk%7D%7B8%5E2%7D)
![\displaystyle 0.2=\frac{k}{64}](https://tex.z-dn.net/?f=%5Cdisplaystyle%200.2%3D%5Cfrac%7Bk%7D%7B64%7D)
Solving for k:
k=12.8
The equation is:
![\displaystyle t=\frac{12.8}{d^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7B12.8%7D%7Bd%5E2%7D)
When d=10:
![\displaystyle t=\frac{12.8}{10^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7B12.8%7D%7B10%5E2%7D)
t = 0.128
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Answer:
= x
Step-by-step explanation:
First, you have to subtract the 2 from both sides
= 12
Then, you multiply both sides by 8x to get rid of the fraction
3 = 96x
Divide both sides by 96 to solve for x
= x
Simplify the fraction
= x
Answer:
Step-by-step explanation:
We have been given that there are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year.
We can see that deer population is increasing exponentially as each next year the population will be 30% more than last year.
Since we know that an exponential growth function is in form:
, where a= initial value, r=growth rate in decimal form.
It is given that a=170 and r=30%.
Let us convert our given growth rate in decimal form.
Upon substituting our given values in exponential function form we will get,
![P(t)=170\cdot (1.30)^t](https://tex.z-dn.net/?f=P%28t%29%3D170%5Ccdot%20%281.30%29%5Et)
Therefore, the function
will give the deer population P(t) on the reservation t years from now.