Answer: 
$110 
Step-by-step explanation:
1000-75-75-350-130-130-130=$110 in change 
 
        
                    
             
        
        
        
<u>Part a)</u> If both ants skate directly towards each other, starting at the same time and skating the same speed, what will be the coordinates of their meeting place?
Let
A(3,4)  B(33.44)
we know that
If both ants skate directly towards each other, starting at the same time and skating the same speed
then 
the coordinates of their meeting place is the midpoint AB
<u>Find the midpoint AB</u>
in the x-coordinate
(3+33)/2=18
in the y-coordinate
(4+44)/2=24
the midpoint AB is (18,24)
therefore
<u>the answer Part a) is </u>
the coordinates of their meeting place is (18,24)
<u>Part b)</u> How far will each ant skate?
<u>Find the distance AB</u>

substitute the values

 units
 units
 units
 units
<u>Find the half distance AB</u>
50/2=25 units
therefore
<u>the answer part b) is</u>
Each ant will skate 25 units
 
        
             
        
        
        
The polynomial a(x) = -18x² - 6x + 12 is the dividend of the polynomial division
The quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12
<h3>How to divide the polynomial?</h3>
The polynomial functions are given as:
a(x) = -18x² - 6x + 12
b(x) = 3x³ + 9x - 1
The quotient equation is given as:
a(x)/b(x) = q(x) + r(x)/b(x)
Since the degree of the dividend a(x) is less than the degree of the divisor b(x), then it means that the value of the quotient q(x) is:
q(x) = 0
And the remainder r(x) is:
r(x) = a(x)
Substitute known values
r(x) = -18x² - 6x + 12
Hence, the quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12
Read more about polynomial division at:
brainly.com/question/25289437
 
        
             
        
        
        
The true statement about why the Fibonacci sequence is recursively defined is (c) The Fibonacci sequence is recursively-defined because you must know the values of the two previous terms in order to find the value of the next term
<h3>How to determine the true statement</h3>
With an exception to the first two terms, each term of the Fibonacci sequence is the sum of the two previous terms
This means that,
The Fibonacci sequence cannot be defined explicitly, because the two previous terms can not be determined by a direct formula
Hence, the true statement about why the Fibonacci sequence is recursively defined is (c)
Read more about the Fibonacci sequence at:
brainly.com/question/16934596
 
        
             
        
        
        
Answer:
Where is the question?
Step-by-step explanation: