1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Integration of ∫(cos3x+3sinx)dx ​
Murljashka [212]

Answer:

\boxed{\pink{\tt I =  \dfrac{1}{3}sin(3x)  - 3cos(x) + C}}

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\  dx

  • Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .
  • Now , Rewrite using du and u .

\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I =  \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I =  \dfrac{1}{3}sin(3x)  - 3cos(x) + C }}}}}

6 0
3 years ago
In November, the price of a GizmoPhone was double the price in March. In December, the price was $57, which was $29 less than th
Jet001 [13]
<span>December = $57

</span><span>In December, the price was $57, which was $29 less than the price in November then November price was: $57 + $29 = $86
</span><span>In November, the price of a GizmoPhone was double the price in March. so March: $86 x 2 = $172

answer: the price </span>of a GizmoPhone in March was $172
7 0
3 years ago
Emily says she can prove the Pythagorean Theorem using the following diagram. She explains that she can divide the squares on th
Sindrei [870]

Answer:

Yes, because there are 9 grid squares on one side, 16 grid squares on the other side, and 25 grid squares on the hypotenuse, and 9 + 16 = 25.

<3

4 0
3 years ago
Which integer represents the situation: A withdrawal of $367?
juin [17]

Answer:

-357

Step-by-step explanation:

Withdrawal is taking something so a withdrawal of $357 is saying taking away $357 which is -357

Hope this helps

3 0
2 years ago
Read 2 more answers
20 points !!! -3/8x-20+2x&gt;6
Semenov [28]

Answer:

x > 16

Step-by-step explanation:

- \frac{3}{8} x -20+2x>6

Add 20 to both sides:

-  \frac{3}{8} x + 2x > 26

Multiply 8 on both sides:

- 3x + 16x > 208

13x > 208

Divide by 13 on both sides:

x > 16

3 0
3 years ago
Read 2 more answers
Other questions:
  • Neeeeeed heeelp plz!!!
    7·1 answer
  • Help me please! problem is attached
    13·2 answers
  • Find the measures? I’m having a hard tome doing this
    7·1 answer
  • Will drawing an angle bisector always result in two acute angles?
    6·1 answer
  • 2. At an amusement park, 60% of the people were adults, and the rest were
    11·1 answer
  • Solve the inequality
    15·2 answers
  • Can someone help me on my question pls
    5·2 answers
  • Help..<br> only if you know
    15·1 answer
  • A local yoga studio charges a sign-fee of $55 plus $10 per class. The second year was studio charges assignment fee of $25 plus
    14·1 answer
  • An ice chest contains 9 cans of apple juice6 cans of grape juice5 cans of orange juiceand 4 cans of pineapple juice Suppose that
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!