Answer:
k = log9 / log 0.66
k = 5.3
Step-by-step explanation:
Please always remember that, when an exponential equation is given with different bases, the best approach is to take log of both sides.
If you have a calculator handy, that would be pretty fast and easy.
0.66 ^ k = 9
Take log of both sides:
klog 0.66 = log 9
k = log 9 / log 0.66
k = 0.954 / - 0.18
k = -5.3
Maths is fun, let's keep learning
Answer:
V = 43323 mm³
(second answer is already correct)
Step-by-step explanation:
these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.
the volume of a cylinder can be found with the formula:
V = πr²h
(V = volume ; π = pi ; r = radius ; h = height)
We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.
diameter = 19.05
radius = 19.05 / 2 = 9.525
so, r = 9.525
we also are given the height of this cylinder, 38 mm
so, h = 38
π = 3.14159 (π is a constant)
plugging our measurements into the volume formula:
V = πr²h
V = (3.14159)(9.525²)(38)
V = (3.14159)(362.9025)(38)
V = 43323.4894628
[rounded to V = 43323 mm³]
And yes, the volume is not affected by a change in shape. (you are correct)
hope this helps!!
Answer:
x
=
−
20
1
2
Isolate the variable by dividing each side by factors that don't contain the variable.
The expression given is
The sum of the expression will be,
The sum will be
I can help you because I know how to convert fractions to mixed numbers, but what is the question exactly?
