Answer:
48 mm ^ 2
Step-by-step explanation:
We know we have a cube of side x, therefore the volume of that cube will be equal to:
V = x ^ 3, because it is a cube and each side is the same.
Now the derivative of the volume with respect to the length (that is, x) would be:
dV / dx = 3 * (x ^ 2)
They tell us that x takes a value of 4, replacing we have:
dV / dx = 3 * (4 ^ 2) = 48
That is, 48 mm ^ 2 would be the value of dV / dx when x is equal to 4 mm.
Answer:1 3/4 < 1 7/8
Showing the workThe least common denominator is 8Comparing 14/8 and 15/8:
14/8 < 15/8 ... ..... ... ....therefore1 3/4 < 1 7/8
Answer:
27 degrees
Step-by-step explanation:
We are given that Angle AEF is 63. We can also see that EAF is a right angle. Since angles in a triangle add up to 180, we can use this to solve for AFE:
Angle AEF + EAF + AFE = 180
63 + 90 + AFE = 180
153 + AFE = 180
AFE = 27
<em>Or we can solve it another way</em>
Since EAF is a right angle, the other angles are complementary (they add up to 90) so...
Angle AEF + AFE = 90
63 + AFE = 90
AFE = 27
8-4-1.3=2.7
2.7 is the amount of blueberry juice used for one 8 ounce fruit smoothies so to get ten of them you multiply by 10
So 2.7x10=27 ounces of blueberry juice
1.3x10=13 ounces of banana flavoring
4x10=40 ounces of soy milk
Hope that helped
Answer:
1,512 cm³
Step-by-step explanation:
The general formula for the volume of a prism is:
V= Bh, where B = the area of the base and h = height of the prism
Given the dimensions of the smaller block as 9cm x 3cm x 7cm, then the dimensions of the larger block (double the dimensions of the smaller block) must be 18cm x 6cm x 14cm. Using these measurements:
V = (18)(6)(14) = 1,512 cm³
