Answer:
K = -2
It is -2 because when you plug in the coordinate y/k = -2
Answer:

Step-by-step explanation:
Given that,
The vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder.
The diameter of the sphere is 3.5 m.
The height of the cylinder is 2 m
Height of the cylinder = Height of bowl− Radius of hemisphere
= 2 - (3.5/2)
= 0.25 m
The volume of the vessel is given by :
V = volume of hemispherical bowl + volume of cylinder
So,

So, the volume of the vessel is
.
Answer:
8
Step-by-step explanation:
Key to this question is assume that each exchange preserves the total dollar amount of Nick’s money.
If He exchanges all his $5 bills for $1 bills, it means that a $5 bill will result in 5 $1 bills as such, if he had x number of $5 bill, after the exchange, he would have 5x $1 bills.
then all his $20 bills for $5 bills, it means that for each $20 bill, he gets 4 $5 bills which means that if he had y number of $5 bills, after the exchange, he would have 4y $5 bills.
and finally all his $100 bills for $20 bills, then he must have received 5 $20 bills for each $100 such that if he had z number of $100 bills before the exchange, he would have 5z number of $20 bills after the exchange. Given that originally he had 17 bills and later 77 bills then
x + y + z = 17
5x + 4y + 5z = 77
Multiplying the first equation by 5,
5x + 5y + 5z = 85
5x + 4y + 5z = 77
subtract 2 from 1
y = 8
Answer: 5/6
Step-by-step explanation: 4 / 6 + 1 / 6 = 5/6
all you have to do is make 2/3 become 4/6