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sweet [91]
3 years ago
9

If the velocity of a car on a timed test drive on an airfield is given by the function:

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

The graph of the car's speed is a piece of an inverted parabola,
that cuts the time axis at zero and at 8 sec. 

The distance the car travels during that 8 seconds is the area
between the parabola and the time axis.  If you intend to calculate
it, then I'm afraid you're going to need to integrate the speed function.

           V = 24t - 3t²

Distance = integral of (24t - 3t²), evaluated from zero to 8 seconds.

Integral of (24t - 3t²) =

             t²/2 - 3t³/3  =  <u>12t² - t³</u>

Evaluated between zero and 8 seconds, the integral is

             12(8²) - (8)³ =

               768 - 512  =<em>  256 meters</em> .


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What’s the least common denominator of 8,12
IceJOKER [234]

Answer: 24

Step-by-step explanation:

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Hope this helps!!! Good luck!!! :)

4 0
3 years ago
A playground is 58 M wide and 91 what is the perimeter​
cestrela7 [59]

Step-by-step explanation:

To get the perimeter, add up all of the sides.

So, the playground is a rectangle.

It has two sides measuring 58m, and two measuring 91m.

58+58+91+91=298

For the area, length x width

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2 years ago
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IrinaVladis [17]

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Step-by-step explanation:

1:9*5:5=5:45

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3 years ago
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3 years ago
Some students were asked what kinds of animals they have at home.
Nataly_w [17]

(a) Animals by popularity; Dogs, Cats, Others, Horses.

(b) If 250 students were interviewed, 20 students have other pets.

(c) No, it was incorrect.

Step-by-step explanation:

Step 1; We arrange the different pets in chronological order, from the highest percent to the lowest percent;

1. Dogs - 67%,

2. Cats - 20%

3. Others - 8%,

4. Horses - 1%.

None is not included in this list.

Step 2; If 250 students were interviewed, 8% of those have other pets. So we need to calculate how much 8% of 250 is.

8% of 250 = \frac{8}{100} × 250 = 0.08 × 250 = 20.

So 20 students had other pets.

Step 3; 20% of the interviewed students had cats. If 75 students had cats, we need to equate 20% to the 75 and find out how many students were actually interviewed.

20% × x = 75, 0.2 × x = 75,

x = \frac{75}{0.2} = 375.

So if 375 students were interviewed, 75 students would have cats. So the estimate of 250 students being interviewed is incorrect.

8 0
3 years ago
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