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earnstyle [38]
2 years ago
13

A car was travelling at a constant speed of 19 m/s, then accelerated for 10 seconds. The distance travelled, during this time, "

d" metres, is given by the formula d = 19t + t^2, where "t" is the time in seconds since the acceleration began. How long did it take the car to travel 200m? Give the answer to the nearest tenth of a second. Solve algebraically.
Mathematics
1 answer:
gregori [183]2 years ago
5 0

Answer:

7.5 seconds.

Step-by-step explanation:

Substitute the distace  220m in the given equation:

d = 19t + t^2

200 = 19t + t^2

t^2 + 19t - 200 = 0

t = [-19 +/- sqrt(19^2 - 4*1*-200)]  / 2

t = -19 +/- sqrt(1161) / 2

t = ( -19 +/- 34.07) / 2

t = 7.535 seconds

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Gnesinka [82]

Answer:

140

Step-by-step explanation:

8 per day

17 days

8*17 = 136 soccer matches in the tournament

136 rounded to the nearest 10 =  140

7 0
2 years ago
4. Lola is 15 years old and works in a factory every weekend. Why might this be illegal? What are the specific laws protecting L
gulaghasi [49]
This is not illegal because she is 15. in factories you have to be at least 15 years old. but age 16 is the appropriate age for you to work in a factory. 
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2 years ago
There are 1,000 golden delicious and 1,000 red delicious apples in a cooler. In a random sample of 75 of the golden delicious ap
Delvig [45]

Answer:

98% confidence interval is (-0.105 , 0.265)

Step-by-step explanation:

n1 = 75          n2 = 75

X1 = 48          X2 = 42

P1 = X1/N1 = 0.64          P2 = X2/N2   = 0.56

98% confidence interval for difference between two proportions is :

P1 - P2  <u>+</u>   Z \sqrt{P1 (1-P1)/n1  + P2 (1-P2)/n1}

= 0.08 <u>+</u> 0.185

= (-0.105 , 0.265)

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4 0
2 years ago
In a school building, there are 8 exterior doors and 12 stairways to enter the second floor. Find a total number of ways to reac
Kazeer [188]
To reach the second floor you would look at all ways to enter to building(8) and multiply it by the number of ways to reach the second floor (12).

8 x 12 = 96 possibilities

Think of it in groups.

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2nd door and 12 possible sets of steps
3rd door and 12 possible sets of steps
4th door and 12 possible sets of steps
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7 0
2 years ago
20 points plz just help me. Explain how you would use fraction bars to find the quotient of StartFraction 10 Over 12 EndFraction
Katarina [22]

Answer:

5/4

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Multiply by the reciprocal:

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15/12

Reduce:

5/4

7 0
2 years ago
Read 2 more answers
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