Answer:

Step-by-step explanation:
The vertical displacement function is
, where
is measured in meters and
in seconds. Ball hits the ground when
. That is:

Whose roots can be found by using the General Formula for Second-Order Polynomials:

Solutions of this polynomial are:

Only the first root is physically consistent.
6i/ (1+i)
multiply by the complex conjugate (1-i)/(1-i)
6i/(1+i) * (1-i)/(1-i)
6i* (1-i) = 6i - 6i^2 = 6i - 6(-1) = 6i +6
(1+i)*(1-i)= 1-i +i -i^2 = 1 -i+i -(-1) = 1+1=2
(6+6i)/2
3+3i
Answer: 3+3i
Answer: There are 3 quarts of concentrate and 9 quarts of water.
Step-by-step explanation:
Since we have given that
Ratio of number of quarts of water to number of quarts of concentrate is
3:1
Number of quarts of orange juice from concentrate and water = 12 quarts
So, the number of quarts of concentrate would be

the number of quarts of water would be

Hence, there are 3 quarts of concentrate and 9 quarts of water.
The function of the trapezoid area is:
A(x)=(B+b)*h/2
Where B and b are the bases and h is the height.
With the given data: h=10 B and b =7 and x (it may vary which one is bigger)
-----------
So that function becomes:
A(x)=(7+x)*10/2
A(x)=(7+x)*5
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So if you want the inverse function, you have to operate to find x:
A(x)/5=7+x
A(x)/5-7=x
----------
So the new function is:
x(A)=A/5-7
So,
To what percent 34 is of 55, we first need to find the fraction equivalent.
34 out of 55 parts or 34/55
Divide 34 by 55.
34/55 = 0.61818...
Now, we move the decimal point 2 places to the right in order to convert it to a percent.
6.1818...
61.81818...
Rounded to the nearest hundredth: 61.82%
Rounded to the nearest tenth: 61.8%
Rounded to the nearest percent: 62%