The domain is all real numbers
The range is y<= 4
Choice C
Answer:
B and C
Step-by-step explanation:
B and C because B is appearing to be sliding up on the graph while C is going into about a quarter of graph appearing to be sliding is a straight line.
Therefore, B and C have proportional relationships.
Have a good night.
Answer:
60
Step-by-step explanation:
1 pound of water to 60 pounds of dry mix
If 1 gallon of water = 8 pounds of water, then, we would have,
8 pounds of water to 60 pounds of dry mix
This implies that 8 pounds of water would stir 60 pounds of dry mix. Therefore, in the table showing both possible combinations, what we would have in cell A would be amount of dry mix that would be combined with 8 pounds of water = 60 pounds.
Cell A = 60 pounds
The cube root of 81 is 4.32674871092
Answer:
![\large \boxed{\text{5.2 lb$\cdot$in}^{-2}}}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B%5Ctext%7B5.2%20lb%24%5Ccdot%24in%7D%5E%7B-2%7D%7D%7D)
Step-by-step explanation:
In a direct proportion,
Pressure = constant × temperature
p = kT
We can use the initial conditions to find the value of k, and then calculate the pressure at the new temperature.
1. Determine the value of k
Data:
p₁ = 6 lb·in⁻²
T₁ = 440 K
Calculation:
![\begin{array}{rcl}p_{1} & = &k \times T_{1}\\6 & = &k \times 440\\k & = & \dfrac{6}{440}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7Dp_%7B1%7D%20%26%20%3D%20%26k%20%5Ctimes%20T_%7B1%7D%5C%5C6%20%26%20%3D%20%26k%20%5Ctimes%20440%5C%5Ck%20%26%20%3D%20%26%20%5Cdfrac%7B6%7D%7B440%7D%5Cend%7Barray%7D)
2.Calculate the new pressure
![\begin{array}{rcl}p_{2} & = &k \times T_{2}\\& = &\dfrac{6}{440} \times 380\\\\& = & \mathbf{5.2}\end{array}\\\text{The new pressure is $\large \boxed{\textbf{5.2 lb$\cdot$in}^{\mathbf{-2}}}$}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7Dp_%7B2%7D%20%26%20%3D%20%26k%20%5Ctimes%20T_%7B2%7D%5C%5C%26%20%3D%20%26%5Cdfrac%7B6%7D%7B440%7D%20%5Ctimes%20380%5C%5C%5C%5C%26%20%3D%20%26%20%5Cmathbf%7B5.2%7D%5Cend%7Barray%7D%5C%5C%5Ctext%7BThe%20new%20pressure%20is%20%24%5Clarge%20%5Cboxed%7B%5Ctextbf%7B5.2%20lb%24%5Ccdot%24in%7D%5E%7B%5Cmathbf%7B-2%7D%7D%7D%24%7D)