Answer:
4
Step-by-step explanation:
The volume of a sphere is equal to 4/3πr³.
Set up the equation;
4/3πr³=256π/3
Multiple both sides by 3/(4π):
r³=64
r=∛64=4 (ans)
Answer:
1 x=-2.5 y = -5.5
2. x=5 y=1
Step-by-step explanation:
1) What is the solution of the given system?
5x-y=-7
3x-y=-2
Multiply the second equation by -1
-1*(3x-y)=-1(-2)
-3x +y = 2
Now add the first equation to the modified second equation
5x-y=-7
-3x +y = 2
------------------
2x = -5
Divide each side by 2
2x/2 = -5/2
x = -2.5
Now we need to find y
-3x+y =2
-3(-2.5) +y =2
7.5 +y =2
Subtract 7.5 from each side
7.5 -7.5 +y =2-7.5
y = -5.5
2) what is the solution of the given system?
5x+7y=32
8x+6y=46
Divide the second equation by 2
8x/2+6y/2=46/2
4x+3y =23
Multiply the first equation by 4
4 (5x+7y)=32*4
20x+28y = 128
Now multiply the modified 2nd equation by -5
-5(4x+3y )=-5(23
)
-20x -15y = -115
Lets add the new equations together to eliminate x
20x+28y = 128
-20x -15y = -115
---------------------
13y = 13
Divide each side by 13
13y/13 =13/13
y=1
Now substitute back in to find x
5x+7y=32
5x +7(1) =32
5x +7 =32
Subtract 7 from each side
5x+7-7 =32-7
5x =25
Divide by 5
5x/5 =25/5
x=5
Answer:
x = 3
Step-by-step explanation:
It should NOT be "fight of the origin", rather "right of the origin".
Now let's move on to solve the question...
The x-intercept is found by setting the function equal to 0. Thus:
0 = x^3 - 9x
<em>Let's solve this using algebra:</em>
<em>
</em>
<em />
<em>Hence, x = -3 and x = 3</em>
<em />
The coordinate that is to the right of the origin is the positive one, so x = 3 is the x-intercept we are looking for.
That would be 8 because the answer is 8.21 and you round down to 8
You are trying to solve what percent of the difference between $26.60 and $18 is of $24.60, so:
$24.60 - $18 = $6.60
24.60x = $6.60
x = 6.60/24.60
x = 0.2683
So the percent increase is 26.83%