Answer:
Dy/Dx=x
(
2
ln
(
x
)
−
1
)/
ln
^2
(
x)
Step-by-step explanation:
We have this function and let's derive it in terms of x.
y =x^2/In x
Dy/Dx=(x^2/In x)'=2/lnx *(x^2)'-(x^2/In x)'=> 2
x
*ln
(
x
)
−
x
*ln
^2
(
x
)
=x
(
2
ln
(
x
)
−
1
)/
ln
^2
(
x)
Answer:
≈ 38.14 cm²
Step-by-step explanation:
Diameter of circle= 6.97 cm
Area of circle = ?
- Area = πr² = πd²/4 =
- 3.14*(6.97)²/4 ≈ 38.14 cm²
5 1/6 divided by 2 5/12 is 2 4/29 so it is true
Answer:
12 black beads
Step-by-step explanation:
Given the ration of gold beads to black beads on the short necklace:

Since the ratio of 4:1 has 5 total parts, you can take the total amount of beads in the long necklace and divide by 5:
60 ÷ 5 = 12
12 beads represents 1 part of the ratio, so that would be the number of black beads. To check, multiply 12 by 4: 12 x 4 = 48, and set up a ratio:
48: 12 = 4: 1
Answer:
Thus, volume of pyramid =
cm³
Step-by-step explanation:
Given: A solid right pyramid has a square base with an edge length of x cm and a height of y cm.
We have to choose from the given options an expression for the volume of the pyramid.
Volume of pyramid = 
Since base is a square with edge length x cm.
Area of square = (side)² = x²
Thus, volume of pyramid =
cm³