Answer:
Hi there!
The correct answer will be: 123.565
Step-by-step explanation:
Any time they ask you to round to the nearest thousand, it means there will be three digits behind the decimal
Rise and run: -2/4
Slope: -1/2
H=-16t² +v(0)t+h(0)
v(0)=192
h=-16t² +192t+h(0)
h(0) should be 0, because the mortar sits on the ground.
h= - 16t²+192t
This function will have maximum because it has minus before x², and parabola is looking down.
h=-(16t²-192t)=-(16t² -2*4t*24+24²)+24²
h=-(4t-24)²+24²
h=-(4t-24)²+576
vertex (24 feet, 576 feet)
24 feet horizontally from the mortar and 576 feet up
To find out all of the possible combinations, just multiply the amount of each variable:
4*2*5 = 40
There are 40 different combinations consisting of a sandwich, soup, and drink.
Answer:
Table B
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or ![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
<em>Verify table B</em>
For
-----> ![k=y/x=(1/2)/1=1/2](https://tex.z-dn.net/?f=k%3Dy%2Fx%3D%281%2F2%29%2F1%3D1%2F2)
For
-----> ![k=y/x=1/2](https://tex.z-dn.net/?f=k%3Dy%2Fx%3D1%2F2)
For
-----> ![k=y/x=(3/2)/3=1/2](https://tex.z-dn.net/?f=k%3Dy%2Fx%3D%283%2F2%29%2F3%3D1%2F2)
For
-----> ![k=y/x=2/4=1/2](https://tex.z-dn.net/?f=k%3Dy%2Fx%3D2%2F4%3D1%2F2)
The values of k are the same
therefore
The table B shows y as DIRECTLY PROPORTIONAL to x
<em>Verify table D</em>
For
-----> ![k=y/x=3/1=3](https://tex.z-dn.net/?f=k%3Dy%2Fx%3D3%2F1%3D3)
For
-----> ![k=y/x=5/2=2.5](https://tex.z-dn.net/?f=k%3Dy%2Fx%3D5%2F2%3D2.5)
For
-----> ![k=y/x=7/3](https://tex.z-dn.net/?f=k%3Dy%2Fx%3D7%2F3)
For
-----> ![k=y/x=9/4](https://tex.z-dn.net/?f=k%3Dy%2Fx%3D9%2F4)
the values of k are different
therefore
The table D not shows y as DIRECTLY PROPORTIONAL to x