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DerKrebs [107]
3 years ago
5

Zara travelled in a train moving at an average speed of 120km/h and covered a distance of 40km towards East. i. Calculate the ti

me taken by the train to cover this distance.
Mathematics
2 answers:
enot [183]3 years ago
5 0

Answer:

Time = 0.33 hrs

Step-by-step explanation:

<u><em>Given:</em></u>

Speed = 120 km/hr

Distance = 40 km

<u><em>Required :</em></u>

Time = ?

<u><em>Formula:</em></u>

Speed = Distance/Time

<u><em>Solution:</em></u>

Time = Distance / Speed

Time = 40/120

Time = 0.33 hrs

Kryger [21]3 years ago
3 0

Answer:

20 minutes

Step-by-step explanation:

Distance= 40 km

Speed= 120 km/h

Time= distance/speed= 40/120= 1/3 hour= 20 min

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Thank you for anyone who knows this
katen-ka-za [31]

Answer:  

  • Part (a) Vertex = (-3, -1)
  • Part (b) Vertex = (4, 5)
  • Part (c) function 2; max value = 5

=====================================================

Explanations:

Part (a)

In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)

If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.

----------------------------

Part (b)

We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.

The given equation is in the form y = ax^2 + bx + c where in this case

  • a = -2
  • b = 16
  • c = -27

The a and b values are plugged into the formula below to get

h = -b/(2a)

h = -16/(2*(-2))

h = -16/(-4)

h = 4

This is the x coordinate the vertex since the vertex is (h,k)

To find k, we plug that value of h into the original function to find its corresponding y value.

y = -2x^2 + 16x - 27

y = -2(4)^2 + 16(4) - 27

y = -2(16) + 16(4) - 27

y = -32 + 64 - 27

y = 5

We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)

----------------------------

Part (c)

We'll compare the y values of each vertex

  • Function 1 has a vertex of (-3, 1)
  • Function 2 has a vertex of (4, 5)

The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.

The max value here is y = 5. In other words, it's the maximum output the function can produce.

If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.

7 0
2 years ago
How do you solve 3^5
ankoles [38]

3^5 is the same as 3*3*3*3*3. which is 243

5 0
3 years ago
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What is the solution to the system of linear equations?
Dmitry_Shevchenko [17]

Answer:

x = 5, y = -1/2

Step-by-step explanation:

3.5x - 5y = 20

3x + 4y = 13 multiply by 1.25 so the y's match up (you could match x's too)

3.75x + 5y = 16.25

–––––––––––––––––––––––

3.5x - 5y = 20

3.75x +5y = 16.25

7.25x + 0y = 36.25 you can add or subtract here (on this equation you add)

7.25x=36.25

x=5 So now we have x=5 and to find y we can just plug in x into one of the equations

–––––––––––––––––––

3(5) + 4y = 13

15 + 4y = 13

4y = -2

y = -1/2

x = 5, y = -1/2

Then you can plug in both to check your answers.

4 0
3 years ago
A company that makes​ hair-care products had 8,000 people try a new shampoo. Of the 8,000 ​people, 32 had a mild allergic reacti
Yuri [45]

Answer:

i think it 0.4%

Step-by-step explanation:

7 0
3 years ago
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Can someone please explain C-12=-4 to me
nlexa [21]

Answer:

C = 8

Step-by-step explanation:

So to get C by itself, we need to add 12 to both sides of the equation, which is the opposite of subtracting:

C - 12 = -4

C - 12 + 12 = -4 + 12

C = 8

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2 years ago
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