Answer:
The radius of the scoop is r = 3.1 cm
Step-by-step explanation:
Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.
3 gallons = 3 × 3785 cm³ = 11355 cm³
So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.
Since 90 scoops = 11355 cm³, then
1 scoop = 11355 cm³/90 = 126.2 cm³
Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have
r = ∛(3V/4π)
Substituting V = 126.2 cm³, we have
r = ∛(3× 126.2 cm³/4π)
= ∛(378.6 cm³/12.57)
= ∛30.13 cm³
= 3.1 cm
So, the radius of the scoop is r = 3.1 cm
Answer:
-xy^6 +2y -6
Step-by-step explanation:
(-6x^2 y^8+12xy^3-36xy^2)
-------------------------------------------
6xy^2
Divide each term by 6 in the numerator and denominator
(-6/6x^2 y^8+12/6xy^3-36/6xy^2)
-------------------------------------------
6/6xy^2
-x^2y^8 +2xy^3 -6xy^2
---------------------------------
xy^2
Divide each term by x in the numerator and denominator
-x^2/xy^8 +2x/xy^3 -6x/xy^2
---------------------------------
x/xy^2
-xy^8 +2y^3 -6y^2
---------------------------------
y^2
Divide each term by y^2 in the numerator and denominator
Remember when dividing, we subtract the exponents
-xy^8/y^2 +2y^3/y^2 -6y^2/y^2
---------------------------------
y^2 /y^2
-xy^6 +2y^1 -6
---------------------------------
1
-xy^6 +2y -6
Answer:
real
Step-by-step explanation:
300000
<h2>
Answer: y = -1x + 2</h2>
Step-by-step explanation:
Points ( -3,5 )( 6,-4 )
You use the slope formula to find the slope.
<h3>Note: You'll need to learn the slope formula to make more sense of it, I suggest watching a video about it.</h3>
M = Y2 - Y1 over
X2 - X1
Which is -4 - 5
6 - -3 = -9/9 = -1
The slope is -1
Now to find the y-intercept we use one of the x,y points ( I'll use 6,-4 )
And plug them in
-4 = -1(6) + b
-4 = -6 + b
+6 +6
2 = b
The equation will be y = -1x + 2
