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sineoko [7]
3 years ago
15

Zia was driving his truck on the super highway. His speed was recorded by the motorway camera between 6:00am to 8:30am. He cover

ed a distance of 250km during this time. Calculate his average speed between this time duration.
Mathematics
1 answer:
pogonyaev3 years ago
5 0

Answer: 100km/hr

Step-by-step explanation:

From the question, we are told that Zia was driving his truck on the super highway and his speed was recorded by the motorway camera between 6:00am to 8:30am and that he covered a distance of 250km during this time.

Average speed is calculated as distance taken divided by the time used. The time used in this question will be: 8.30am - 6:00am = 2.5 hours.

Speed = Distance/Time

= 250/2.5

= 100km/hour

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Answer is (1,2)
5 0
3 years ago
Read 2 more answers
A cone and a cylinder have the same radius and height. The volume of the cone is 100π (pi) cubic feet. What is the volume of the
murzikaleks [220]

Answer:

The volume of the cylinder is 300\pi cubic feet.

Step-by-step explanation:

From Geometry we remember that volumes of a cone and a cylinder with the same radius (R), measured in feet, and height (h), measured in feet, are defined by the following equations:

Cone

V_{co} = \frac{1}{3}\pi\cdot R^{2}\cdot h (1)

Cylinder

V_{cy} = \pi\cdot R^{2}\cdot h (2)

The ratio of the volume of the cylinder to the volume of the cone is:

\frac{V_{cy}}{V_{co}} = 3 (3)

If we know that V_{co} = 100\pi\,ft^{3}, then the volume of the cylinder is:

V_{cy} = 3\cdot V_{co}

V_{cy} = 300\pi\,ft^{3}

The volume of the cylinder is 300\pi cubic feet.

3 0
2 years ago
Jake and amber worm at McDonald's they each earn $8 per hour jake works three more hours then amber if jake and amber made a tot
Nadya [2.5K]

Answer:

9 hours

Step-by-step explanation:

Set up the equations: x is the amount of hours Amber worked and y is the hours Jake worked

8x + 8y = 120

y = 3 + x

Substitute the second equation into the first

8x + 8(3+x) = 120

Distribute

8x + 24 + 8x = 120

Combine like-terms

16x + 24 = 120

Subtract 24 on both sides

16x = 96

Divide 16 on both sides

x = 6 (hours Amber worked)

Plug in this x-value into on of the two equations. I will use the second

y = 3 + 6

y = 9

7 0
3 years ago
What percent of 30 is 33
Llana [10]
Hi!

To solve this we can set up a proportion and cross multiply.

\frac{33}{30}  \frac{x}{100}

33 x 100 = 3300
3300/30 = 110

The answer is 110%

Hope this helps! :)
3 0
3 years ago
Newton’s law of cooling states that dx/dt= −k(x − A) where x is the temperature, t is time, A is the ambient temperature, and k
Vadim26 [7]

Answer:

(a) The solution to the differential equation is x = A_0Coswt + Ce^(-kx)

(b) The initial condition t > 0 will not make much of a difference.

Step-by-step explanation:

Given the differential equation

dx/dt= −k(x − A); t > 0, A = A_0Coswt

(a) To solve the differential equation, first separate the variables.

dx/(x - A) = -kdt

Integrating both sides, we have

ln(x - A) = -kt + c

x - A = Ce^(-kt) (Where C = ce^(-kt))

x = A + Ce^(-kx)

Now, we put A = A_0Coswt

x = A_0Coswt + Ce^(-kx) (Where C is constant.)

And we have the solution.

(b) Since temperature t ≠ 0, the initial condition t > 0 will not make much of a difference because, Cos(wt) = Cos(-wt).

It is not any different from when t < 0.

7 0
2 years ago
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