Answer:
it's about 18 percent decrease**** so 20 percent to round up
Step-by-step explanation:
Answer:
Mode: 11
Median: 11
Step-by-step explanation:
mode is number that shows up the most
Arrange numbers in order :
7 8 9 10 11 11 12 13 18
number physically in the middle is median
Answer:
The antiderivative is .
Step-by-step explanation:
Antiderivative F(x)
This is the integral of
So
F′(x) = f(x) = 6 + 24x^3 + 18x^5
Then:
F(1)=0
when . We use this to find K.
Thus
The antiderivative is .
Answer:
The complex number in the form of a + b i is 3/2 + i √3/2
Step-by-step explanation:
* Lets revise the complex number in Cartesian form and polar form
- The complex number in the Cartesian form is a + bi
-The complex number in the polar form is r(cosФ + i sinФ)
* Lets revise how we can find one from the other
- r² = a² + b²
- tanФ = b/a
* Now lets solve the problem
∵ z = 3(cos 60° + i sin 60°)
∴ r = 3 and Ф = 60°
∵ cos 60° = 1/2
∵ sin 60 = √3/2
- Substitute these values in z
∴ z = 3(1/2 + i √3/2) ⇒ open the bracket
∴ z = 3/2 + i √3/2
* The complex number in the form of a + b i is 3/2 + i √3/2
<u>Given</u>:
The given expression is
We need to determine the values for which the domain is restricted.
<u>Restricted values:</u>
Let us determine the values restricted from the domain.
To determine the restricted values from the domain, let us set the denominator the function not equal to zero.
Thus, we have;
Taking square root on both sides, we get;
Thus, the restricted value from the domain is
Hence, Option A is the correct answer.