Answer:
Answer A
Step-by-step explanation:
Use the property of integrals. You now have where the first x next to the 5 stands for multiplication. Let's evaluate it. We get
. From here, we can simplify this into
. Add the constant of integration, which will give you the answer of
.
Answer:
A.
Step-by-step explanation:
This is a great question! The first thing we want to do here is to take the constant out of the expression, in this case 5. Doing so we would receive the following expression -
We can then apply the power rule " ", where a = exponent ( in this case 4 ),
From now onward just simplify the expression as one would normally, and afterward add a constant ( C ) to the solution -
- Add the exponents,
- 5 & 5 cancel each other out,
- And now adding the constant we see that our solution is option a!
The correct option will be: d. 0.4%
For finding the periodic interest rate , we need to divide the annual interest rate by the number of times interest calculated in a year.
Here, the simple interest is calculated monthly, that means the number of times interest calculated in a year will be 12.
Annual interest rate is 4.8%
So, the periodic interest rate = %
Answer:
Step-by-step explanation:
The fractional exponent m/n is often translated to radical form as ...
In this case, I find it easier to evaluate as ...
See the attached picture.
The resulting box has a volume
because the volume of a box is the product of its width , length
, and height
.
You know right away from the factored form of that the zeroes are
. (zero product property)
Easy to plot by hand. You know the zeroes, and you can check the sign of for any values of
between these zeros to get an idea of what the graph of
looks like. See the second attached picture.
Here's what I mean by "check the sign" in case you don't follow. We know when
and
. So we pick some value of
between them, say
, and find that
which is positive, so will be positive for any other
between 0 and 8. Similarly we would find that
for
between 8 and 12, and so on.
It's impossible to answer this without knowing the volume of each marble...
Thomas wants , so you solve
While this is possible to do by hand, the procedure is tedious (look up "solving the cubic equation"). With a calculator, you'd find three approximate solutions
but you throw out the third solution because, realistically, the cutout length can't be greater than either of the sheet's dimensions.
The box's dimensions are ( in) x (
in) x (
in).
If , then
and
.
If , then
and
.
