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anygoal [31]
3 years ago
9

The function shown below was created to track the different intervals of speed that an automobile travels over a period of 28 se

conds. Use the graph of the function to complete Parts 1-3. After traveling for 16 seconds, the automobile begins to slow its speed at a steady rate. Use the coordinates on the graph to determine the rate at which the car is slowing down, in miles per hour per second. During which interval of time does the automobile experience the greatest change in its speed? What is the change in the automobile’s speed during this interval? For a time period of approximately 10 seconds, the automobile experiences no change in its speed. During which interval of time does the automobile’s speed remain constant? At what speed is the automobile traveling during this interval?

Mathematics
2 answers:
Inessa [10]3 years ago
8 0

Answer:

hmm

Step-by-step explanation:

Ksenya-84 [330]3 years ago
7 0

Answer:

1. The car is slowing down at a rate of 2.5mph/s

2. The greatest acceleration is 10 mph/s.

3. In the interval 4s to 16s the speed remains constant and has magnitude 25 mph.

Step-by-step explanation:

1. The deceleration of the car is from 16 seconds to 24 seconds is the slope m of the graph from 16 to 24:

m=\dfrac{\Delta speed }{\Delta time } = \dfrac{5-25}{24-16} =-2.5mph/s

the negative sign indicates that it is deceleration.

2. The automobile experiences the greatest change in speed when the slope is greatest because that is when acceleration/deceleration is greatest.

From the graph we see that the greatest slope of the graph is between 28 and 24 seconds. The acceleration the interval is the slope m:

m= \dfrac{45-5}{28-24}= 10mph/s

3. The automobile experiences no acceleration in the interval 4 s to 16 s—that's the graph is flat.

The speed of the automobile in that interval, as we see from the graph, is 25 mph.

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alex41 [277]

Answer:

2.5% of American women have shoe sizes that are greater than 11.47.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.47

Standard deviation = 1.5

The normal distribution is symmetric, which means that half the measures are below the mean, and half are above the mean.

What percentage of American women have shoe sizes that are greater than 11.47?

11.47 = 8.47 + 2*1.5

This means that 11.47 is two standard deviations above the mean.

Of those measures below the mean, none are greater than 11.47.

Of those measures above the mean, 95% are between the mean and 11.47, and 5% are above. So

0.5*0.05 = 0.025

2.5% of American women have shoe sizes that are greater than 11.47.

8 0
3 years ago
Eleven less than three times a number is 85. Find the number.<br> w=
zubka84 [21]

Answer:

the answer would be 32.

Step-by-step explanation:

add 11 to 85, then divide the number you get (96) by 3.

7 0
3 years ago
Convert 12,000+7*10^(4) to scientific notation
Nostrana [21]

Answer:

Step-by-step explanation:

Enter numbers or scientific notation.

For scientific notation, use a carat ^ for the powers of 10 or use e notation.

Scientific Notation: 3.45 x 10^5

E Notation: 3.45e5

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3 years ago
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Answer:

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To make fuel for the main engines of a space shuttle, 102,619.377 kilograms of liquid hydrogen and 616,496.4409 kilograms of liq
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102619.377 + 616496.4409 = 719,115.8179

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