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Alchen [17]
3 years ago
9

You are new in town and need to know how the streets flow in order to efficiently get around town. Your math friend decides to

Mathematics
1 answer:
BartSMP [9]3 years ago
7 0

Answer:

  1. The Fire Department and the School
  2. The Fire Department and the Hospital.

Step-by-step explanation:

On the matrix, a 1 represent the existence of a street between two buildings while a 0 indicates the absence of a street between any two building.

Let:

  • F represent the Fire department
  • S represent the School
  • H represent the Hospital
  • A represent the Apartment Building.

The heading by the side of the matrix is the <em>ith</em> entry while the headings on top is the <em>jth</em> entry. Movement is from ith position to jth position.

From the given matrix, the directed graph is presented in the attachment below.

From the graph, the following buildings have two-way streets between them.

  1. The Fire Department and the School
  2. The Fire Department and the Hospital.

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If she would have bought them for the grocery store it would have been 14 dollars

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7nadin3 [17]
<span>In 10 repetitions, there was an instance where 3 or more out of 5 free throw missed. So the probability of her missing 3 or more out of 5 free throw is 0/10=0% or 0.0%. I</span>t appears that your answer of 0% is correct given your experiment.
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Read 2 more answers
Angle 0 lies in the second quadrant and sin 0 = 3/5 cos= coy =
Elza [17]
Consider the right triangle ABC with legs AB=4, AC=3 and hypotenuse BC=5. Angle B has
 \sin B=\frac{opposite}{hypotenuse} = \frac{3}{5} and
 \cos B = \frac{adjacent}{hypotenuse} = \frac{4}{5}.

Since O lies in second quadrant \cos O\ \textless \ 0 and 
\cos O= -\cos B =- \frac{4}{5}.
Answer: \cos O=- \frac{4}{5}. 


3 0
3 years ago
Simplify:<br> (4p3 + 6p2 – 7) – (8p? – 7 – 3p)
Kipish [7]

Answer:

4p3 + 6p2 - 8p - 7

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2"   was replaced by   "p^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 (((4 • (p3)) +  (2•3p2)) -  7) -  8p

STEP

2

:

Equation at the end of step

2

:

 ((22p3 +  (2•3p2)) -  7) -  8p

STEP

3

:

Checking for a perfect cube

3.1    4p3+6p2-8p-7  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  4p3+6p2-8p-7

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -8p-7

Group 2:  4p3+6p2

Pull out from each group separately :

Group 1:   (8p+7) • (-1)

Group 2:   (2p+3) • (2p2)

3.3    Find roots (zeroes) of :       F(p) = 4p3+6p2-8p-7

Polynomial Roots Calculator is a set of methods aimed at finding values of  p  for which   F(p)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  p  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  4  and the Trailing Constant is  -7.

The factor(s) are:

of the Leading Coefficient :  1,2 ,4

of the Trailing Constant :  1 ,7

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        3.00    

     -1       2        -0.50        -2.00    

     -1       4        -0.25        -4.69    

     -7       1        -7.00       -1029.00    

     -7       2        -3.50        -77.00    

     -7       4        -1.75        3.94    

     1       1        1.00        -5.00    

     1       2        0.50        -9.00    

     1       4        0.25        -8.56    

     7       1        7.00        1603.00    

     7       2        3.50        210.00    

     7       4        1.75        18.81    

Final result :

 4p3 + 6p2 - 8p - 7

5 0
3 years ago
Find the zero if the function f(x) = 5x-3
Sladkaya [172]
X equal 5/3 set it equal to zero and slove
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3 years ago
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