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AVprozaik [17]
4 years ago
9

In t hours the train has traveled s miles. Find the formula for v, the speed of the train (in mph) in terms of t and s. Find the

value of v when:
t=3, s=180
Mathematics
1 answer:
Finger [1]4 years ago
7 0

Answer:

Speed of the train is 60 mph.

Step-by-step explanation:

Given:

In t hours the train has traveled s miles.

t= 3 hrs

s= 180 miles

W need to find the formula for v, the speed of the train (in mph) in terms of t and s.

Also we need to calculate v.

Now by the definition of speed which is stated below.

"Speed is defined as the distance covered by an object per unit time."

"So, mathematically, speed of train v mph is equal to distance traveled by the train s miles divided by time t hours which it takes to cover the distance."

v=\frac{s}{t}\\

Now Substituting given values of t and s in above equation we get.

v= v=\frac{180}{3}=60 \ mph

Speed of the train is 60 mph

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The total cost of producing a type of tractor is given by C(x)=11000−20x+0.02x2, where x is the number of tractors produced. How
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Answer:

Step-by-step explanation:

You need to complete the square.

C(x) = 0.02(x^2 - 1000x  ...)  + 11000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000

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Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000

There is a flow to this question that you may have trouble understanding.

First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.

Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.

500^2 = 250000

0.02 * 250000 = 5000

So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.

So what you have outside the brackets is 11000 - 5000 = 6000

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5 0
2 years ago
does somebody knows how to do this one?
vlada-n [284]

Answer:

Step-by-step explanation:

To find the area subtract the area of the semicircle from the area of the rectangle.

Although the line isn’t there, if you imagine there is one, then you will see that you form a rectangle which is the same line as the semicircle’s diameter.

The area of rectangle is:

⇒ A = lw

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⇒ A = 112cm^{2}

The area of the semicircle;

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⇒ A = \frac{1}{2}\pi (7)^{2}

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⇒ A = 76.97cm^{2}

Finally subtract the two areas;

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Which of the numbers below is less than zero? Select all that apply.
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