Answer:
x=ln(2)/3
Step-by-step explanation:
e^3x+6=8
e^3x=8-6
e^3x=2
ln(e^3x)=ln(2)
3x=ln(2)
x=ln(2)/3
The given expression is:
(x^3 * y^4) / (3y^4)
We can notice that the term y^4 is a common term found in both the numerator and the denominator of the given expression, therefore, we can cancel this term from the both numerator and denominator (as if you divided both numerator and denominator by y^4).
Doing this, we will have the simplified form of the expression as follows:
(x^3) / (3)
Answer:
the percentage increase for bread and cake is 66.67% and 20% respectively
Step-by-step explanation:
The computation of the percentage increase for each bakery item is shown below:
For bread
= (25 - 15) ÷ 15
= 66.67%
For cakes
= (12 - 10) ÷ (10)
= 20%
Hence, the percentage increase for bread and cake is 66.67% and 20% respectively
<h3>
Answer: 11 cans</h3>
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Explanation:
SA = surface area of the sphere
SA = 4*pi*r^2
SA = 4*pi*8^2
SA = 804.247719
The surface area is roughly 804.247719 sq ft.
I used the calculator's stored version of pi to get the most accuracy possible.
Since 1 paint can covers 75 sq ft, divide that surface area over 75 to find out how many cans you need.
804.247719/75 = 10.72330292
Round up to the nearest integer to get 11
You'll have leftover paint, but it's better to go over the goal than come up short.
For this case we have the following function transformation:
Vertical displacement.
Assume k> 0
If f (x) is the original function, f (x) + k is the original function with a vertical displacement k units up.
Answer:
Part 1:
C. The function is not shifted horizontally from g (x)
Part 2:
A. 3 units up from g (x)