Answer:
When dividing by powers of 10, move the decimal point one place to the left for each power of ten.
I think you meant to say

and not "4 times y" on the right side (which would lead to a complex value for y when x = 0). Note that when x = 0, the equation reduces to ln(y) = 0, so that y = 1.
Implicitly differentiating both sides with respect to x, taking y = y(x), and solving for dy/dx gives


Note that when x = 0 and y = 1, we have dy/dx = 3.
Differentiate both sides again with respect to x :

No need to simplify; just plug in x = 0, y = 1, and dy/dx = 3 to get

Answer:
The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle. If a circle has a diameter of 4, its circumference is 3.14*4=12.56. If you know the radius, the diameter is twice as large.
Step-by-step explanation:
Answer:
6554
Step-by-step explanation:
The sequence 2, -8, 32, -128 has a first term (a1) of 2 and a common ratio (r) of -8/2 = -4. The sum of n terms is given by ...
Sn = a1·(r^n -1)/(r -1)
For your sequence, the sum of 7 terms is ...
S7 = 2·((-4)^7 -1)/(-4-1) = 2(-16384/-5) = 6554
The sum of changes after the 7th day is 6554.
Answer:
b. Using the commutative property. (not part of the solution process)