Answer:
Last one at the bottom
Step-by-step explanation:
Recall that for a function to be valid, each input (x-value) must give exactly one unique output (y-value). If we find that any x-value gives more than one y-value, then it is not a function.
Option 1: x = 3 gives y = 2 and y = -2 (not a function)
Option 2: x = 5 gives y = 2 and y = 8 (not a function)
Option 3: x = 3 gives y = 4 and y = 5 (not a function)
Option 4: each x-value gives only one possible y-value (this is a function)
Answer:
An independent system of equations
The volume of a sphere -
![\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
The volume of a cone -
![\frac{1}{3} \pi r^2 h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2%20h)
r - radius, h - height
The sphere and the cone have the same volume and the radius is 3 inches.
![\frac{4}{3} \pi \times 3^3=\frac{1}{3} \pi \times 3^2 \times h \ \ \ |\div \pi \\ \frac{4}{3} \times 27=\frac{1}{3} \times 9 \times h \\ 36=3h \ \ \ |\div 3 \\ h=12](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5Ctimes%203%5E3%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%5Ctimes%203%5E2%20%5Ctimes%20h%20%5C%20%5C%20%5C%20%7C%5Cdiv%20%5Cpi%20%5C%5C%0A%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%2027%3D%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%209%20%5Ctimes%20h%20%5C%5C%0A36%3D3h%20%5C%20%5C%20%5C%20%7C%5Cdiv%203%20%5C%5C%0Ah%3D12)
The height of the cone is
12 inches.
For this case, the first thing we must do is define variables.
We have then:
x: time in hours
y: number of total deliveries.
We have a relationship of the form:
![y = kx](https://tex.z-dn.net/?f=%20y%20%3D%20kx%20%20)
Where,
k: slope of the line.
To find k we use the following data:
On average, I have 152 hours to make 19 successful deliveries.
Substituting values we have:
![19 = 152k](https://tex.z-dn.net/?f=%2019%20%3D%20152k%20%20)
Clearing k we have:
![k = 19/152\\k = 0.125](https://tex.z-dn.net/?f=%20k%20%3D%2019%2F152%5C%5Ck%20%3D%200.125%20%20)
Answer:
An unit rate that can be interpreted as the slope is:
![k = 0.125](https://tex.z-dn.net/?f=%20k%20%3D%200.125%20)
Answer:
US$1.00=EC$2.70 TT$1.00=EC$0.40 calculate the value of : 1.EC$1in TT$ 2.US$80inEC$ 3.TT$648 in US$
Step-by-step explanation:
that what i've got i hope that's helps you