A)4*16
because 4*3•4*4•4*9
you have to add the exponents
3+4+9=16
keep the number
so 4*16 is the answer
Answer:
C
Step-by-step explanation:
3 1/2 x 2 = 7
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
_____
You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
Answer:
720
Step-by-step explanation:
For the first wedge, you have 6 numbers to choose from .
For the second wedge , you have 5 numbers to choose from .
For the 3rd wedge , you have 4 numbers to choose from .
For the 4th wedge , you have 3 numbers to choose from .
For the 5th wedge , you have 2 numbers to choose from .
For the 6th wedge , you have 1 number to choose from .
Conclusion: this numbering can be done in:
6×5×4×3×2×1 = 720
Note :
Generally ,we write 6×5×4×3×2×1 as 6! and we read it 6 factorial.
What I don’t understand that what subject is this????
