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Answer:</u></h3>
The function N(t) is given as:

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Step-by-step explanation:</u></h3>
Jenny studied the characteristics of two species of bacteria.
The number of bacteria of species A, A(t), after t hours is represented by the function:

The number of bacteria of species B, B(t), after t hours is represented by the function:

N(t) denotes the difference in the number of bacteria; hence N(t) is given by after t hours as:
N(t)=A(t)-B(t)

which on simplifying gives:

Hence,
Answer: 0.65
Step-by-step explanation:
Let A denote that moviegoers were female and B denotes that moviegoers were under age 25.
As per given we have,
P(A)=0.56 P(B)=0.26 P(A∩B)=0.17
Using formula ,

Hence, the probability that a moviegoer is either female or under age 25 = 0.65
Answer:
Step-by-step explanation:
Do you remember the formula so that you can solve this problem??
Answer:
Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because 
Step-by-step explanation:
The complete question in the attached figure
we know that
If the length sides of a triangle, satisfy the Pythagorean Theorem, then is a right triangle

where
c is the hypotenuse (the greater side)
a and b are the legs
In this problem
The length sides squared of the triangle are equal to the areas of the squares
so


substitute

----> is not true
so
The length sides not satisfy the Pythagorean Theorem
therefore
Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because 
Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
or

Step-by-step explanation:
Vertex form of equation :
where (h, k) is the vertex of the parabola.

Hence, the vertex form of the equation is 