Understand that a relationship between<span> two variables,</span>x and y<span>, is </span>proportional<span> if it can be expressed in the form </span>xy<span> = k or </span>y<span> = kx. ... Understand that the graph of a</span>proportional relationship<span> is a line through the origin whose slope is the unit rate (constant of proportionality)</span>
Answer: C: -2.5
Step-by-step explanation:
When looking at the graph we see that the temperature (y-axis) starts at 80 degrees. To find the slope, or how much it decreases and how often, we find the difference between 80 and the temperature it dropped to which is 77.5 . We also see it dropped this much after 1 hour which means each hour it drops -2.5 degrees so the correct answer is C.
Answer:
About 473 quails.
![P=175(1.22)^t](https://tex.z-dn.net/?f=P%3D175%281.22%29%5Et)
Step-by-step explanation:
Exponential equation with
as the initial amount and rate of r is:
![P=P_0(1+r)^t](https://tex.z-dn.net/?f=P%3DP_0%281%2Br%29%5Et)
![P=175(1+.22)^t](https://tex.z-dn.net/?f=P%3D175%281%2B.22%29%5Et)
![P=175(1.22)^t](https://tex.z-dn.net/?f=P%3D175%281.22%29%5Et)
After 5 years the population will be:
![P=175(1.22)^5](https://tex.z-dn.net/?f=P%3D175%281.22%29%5E5)
![P \approx 472.9739](https://tex.z-dn.net/?f=P%20%5Capprox%20472.9739)
So the population will be about 473 quails.
Answer:
you need 100ml of 5X TAE and 400ml of water.
Step-by-step explanation:
You need to use a rule of three:
![C_1V_1=C_2V_2](https://tex.z-dn.net/?f=C_1V_1%3DC_2V_2)
where:
![\left \{ {{C_1= 5X} \atop {C_2=1X}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7BC_1%3D%205X%7D%20%5Catop%20%7BC_2%3D1X%7D%7D%20%5Cright.)
and
![\left \{ {{V_1 = V_{TAE}} \atop {V_2=500ml}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7BV_1%20%3D%20V_%7BTAE%7D%7D%20%5Catop%20%7BV_2%3D500ml%7D%7D%20%5Cright.)
Therefore:
![V_{TAE} = \frac{V_2*C_2}{C_1}](https://tex.z-dn.net/?f=V_%7BTAE%7D%20%3D%20%5Cfrac%7BV_2%2AC_2%7D%7BC_1%7D)
![V_{TAE} = 100ml](https://tex.z-dn.net/?f=V_%7BTAE%7D%20%3D%20100ml)
Then just rest the TAE volume to the final Volume and you get the amount of water that you need to reduce the concentration.
60= n/3 + 52
-52. -52
8= n/3
You then take 3/1 times 8 therefore you leave n by itself
n = 24