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vazorg [7]
3 years ago
7

It was estimated that because of people switching to Metro trains about 33000 of CNG 3300 tons of diesel and 21000 tons of petro

l was saved by the end of year 2007 find a fraction of the quantity of Jesus saved to the quantity of petrol savedfind the quantity of cng to the quantity of diesel saved
​
Mathematics
1 answer:
Simora [160]3 years ago
5 0

The question is incomplete. Here is the complete question

It was estimated that because of people switching to Metro trains about 33000 of CNG 3300 tons of diesel and 21000 tons of petrol was saved by the end of year 2007 (I) find a fraction of the quantity of diesel saved to the quantity of petrol saved (ii) find the quantity of cng to the quantity of diesel saved

Answer:

(I) 11/70

(II) 1/10

Step-by-step explanation:

Metro trains contain 330,000 tons of CNG

3300 tons of diesel was saved

21000 tons of petrol was saved at the end of 2007

(I) The fraction of the quantity of diesel saved to the quantity of petrol saved can be calculated as follows

= 3300/21000

= 11/70

(II) The fraction of the quantity of CNG saved to the quantity of diesel can be calculated as follows

= 3300/33000

= 1/10

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The position of an object moving along an x axis is given by x = 3.24 t - 4.20 t2 + 1.07 t3, where x is in meters and t in secon
Pavel [41]

Answer and explanation:

Given : The position of an object moving along an x axis is given by x=3.24t-4.20t^2+1.07t^3 where x is in meters and t in seconds.

To find : The position of the object at the following values of t :

a) At t= 1 s

x(t)=3.24t-4.20t^2+1.07t^3

x(1)=3.24(1)-4.20(1)^2+1.07(1)^3

x(1)=3.24-4.20+1.07

x(1)=0.11

b) At t= 2 s

x(t)=3.24t-4.20t^2+1.07t^3

x(2)=3.24(2)-4.20(2)^2+1.07(2)^3

x(2)=6.48-16.8+8.56

x(2)=-1.76

c) At t= 3 s

x(t)=3.24t-4.20t^2+1.07t^3

x(3)=3.24(3)-4.20(3)^2+1.07(3)^3

x(3)=9.72-37.8+28.89

x(3)=0.81

d) At t= 4 s

x(t)=3.24t-4.20t^2+1.07t^3

x(4)=3.24(4)-4.20(4)^2+1.07(4)^3

x(4)=12.96-67.2+68.48

x(4)=14.24

(e) What is the object's displacement between t = 0 and t = 4 s?

At t=0, x(0)=0

At t=4, x(4)=14.24

The displacement is given by,

\triangle x=x(4)-x(0)

\triangle x=14.24-0

\triangle x=14.24

(f) What is its average velocity from t = 2 s to t = 4 s?

At t=2, x(2)=-1.76

At t=4, x(4)=14.24

The average velocity  is given by,

\triangle x=x(4)-x(2)

\triangle x=14.24-(-1.76)

\triangle x=14.24+1.76

\triangle x=16

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3 years ago
Find all solutions of the given system of equations and check your answer graphically. HINT [See Examples 2–5.] (If there is no
Reika [66]

The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, If the given equation is x-y=0 and x+y=8.

Step-by-step explanation:

The given is,

                              x-y=0...............................(1)

                              x+y=8...............................(2)

Step:1

          Solution can be obtained by Elimination method,

          Equation (1) is multiplied by (-1)           ( Eqn (1) × -1 )

                             -x+y=0..............................(3)

          Substrate the equation (1) and equation (3),

                              -x+y=0

                                x+y=8

         ( - )

         (-x-x)+(y-y)=(0-8)

                             (-2x)=-8

                                -2x = -8

         we can cancel the minus because it is available in both sides,

                                  2x=8

                                    x = \frac{8}{2}

                                     x = 4

        From the value of x, Equation (2) becomes,

                              x+y=8

                               4+y=8

                                     y = 8-x    (Value of y in terms of x)

        Where, x = 4

                                     y = 8-4        

                                     y =4

Step:2

       Check for solution,

                             x+y=8.....................................(2)

       Substitute the values of x and y,

                             4 + 4 = 8

                                   8 = 8

Result:

         The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, where x=4. If the given equation is x-y=0 and x+y=8.

         

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3 years ago
Third-degree, with zeros of -3,-1, and 2, and passes through the point (3,6).
Y_Kistochka [10]

Answer:

Below.

Step-by-step explanation:

In factor form this is:

f(x) = a(x + 3)(x + 1)(x - 2)     where a is a number to be found.

As it passes through (3, 6) we have:

6 = a(3 + 3)(3 + 1)(3 - 2)

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a = 1/4.

So f(x) =  1/4(x + 3)(x + 1)(x - 2)

In general form this is:

f(x) = 1/4 x^3 + 1/2 x^2 - 5/4 x - 3/2

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