Answer:
like terms require the variables to be the same. 3y,y 4y are like terms because they all have y in common. 3y,3x,3xy are not like terms because the variable is not the same.
Answer:
No, because the volume of the cone is greater than the volume of the ice cream scoop.
Step-by-step explanation:
To solve this problem we just need to compare the volume of the ice scream scoop with the volume of the ice cream cone.
The ice scream scoop is a sphere with a diameter of 2 inches (so a radius of 1 inch), then the volume is:
V = (4/3) * pi * r^3
V = (4/3) * pi * 1^3
V = 4.1888 in3
Now, to find the volume of the ice cream cone, we just need to use the formula of the cone volume (with radius = 1 inch):
V = (1/3) * pi * r^2 * h
V = (1/3) * pi * 1^2 * 5
V = 5.236 in3
As the volume of the cone is greater than the volume of the ice cream scoop, the ice cream will not spill over the cone after melting.
You have 3 unknowns: a, b, and c. That means you have to have 3 equations to solve for the values of them. 3 unknowns needs 3 different equations. We will use the first 3 points in the table and thank God that one of them has an x value of 0. We will replace the x and y in the general form of the quadratic with the x and y from the table, 3 times, to find each variable. Watch how it works. We will start with (0, 15).

. That gives us right away that c = 15. We will do the same thing again with the second value in the table along with the fact that c = 15 to get an equation in a and b.

which simplifies to
4a+2b=.5. Now do the same for the third set of coordinates from the table.

which simplifies down to
16a+4b=2. Solve those simultaneously. Multiply the first bolded equation by -4 and then add that one to the second bolded one.

gives us
-16a-8b=-2. Add that to the second bolded equation and the a terms cancel out giving us -4b=0 so b = 0. Subbing that back in we solve for a: 16a+4(0)=2 and 16a = 2. Therefore, a = 1/8. The quadratic then is
Answer:
At the end krisi will receive 550
Step-by-step explanation:
We have given that krisi took $500
So the principle amount P = $500
Rate of interest r = 5%
Time t = 2 years
We know that simple interest is given by

So the amount which he receive = 500 +50 =550
So at the end krisi will receive 550
X^2/a^2+y^2/b^2=1
a^2=100 a=10
b^2=64 b=8
c^2=a^2-b^2
c=6