Answer:
64m^15
Step-by-step explanation:
im pretty sure this is the answer hope i helped!
Answer:
t(n)= 0.2 * 2ⁿ
Step-by-step explanation:
Thickness= 0.2 millimeters
paper = 1
n= number of folds
The exponential function will be given by
t(n)= 0.2 * 2ⁿ
so if there's a single fold
t(1)= 0.2 * 2¹
t(1)= 0.4 mm
Now for 2 folds the thickness will be
t(2) = 0.2 *2 ²
t(2)= 0.2 *4
t(2) = 0.8mm
The exponential that represents this scenario is
t(n)= 0.2 * 2ⁿ
And for 3 folds the thickness will be
t(3) = 0.2 *2 ³
t(3)= 0.2 *8
t(3) = 1.6 mm
Answer:
24 cm²
Step-by-step explanation:
The rectangular section on the right is 8 - 4 = 4 cm wide.
It is 3 + 1.5 = 4.5 cm tall.
The area of the rectangular section is ...
A = LW
A = (4.5 cm)(4 cm) = 18 cm²
__
The triangular section on the left is 4 cm wide and 3 cm high. Its area is ...
A = 1/2bh
A = 1/2(4 cm)(3 cm) = 6 cm²
The total shaded area is the sum of the areas of the triangular section and the rectangular section:
area = 18 cm² +6 cm² = 24 cm² . . . area of the figure
Step-by-step explanation:
Take the natural log of both sides:
Logarithm rules allow you to bring down the exponents:
Now differentiate. We will have to implicitly differentiate 'y' since it is a function of 'x'. Both sides require the product rule:
Isolate the terms that have y' since that is what we want:
Factor out y' to get:
Therefore:
Answer:
8
Step-by-step explanation:
Just divide and plug it into the formula. YOu then get the answer
