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3 years ago

PLEASE IM GONNA DIE Paloma rides a scooter. She travels 10 ft. For every 1 second.

Mathematics

1 answer:

Nesterboy [21]3 years ago

7 0

Answer:

She is incorrect; Paloma's ratio of seconds travelled to feet travelled is 1:10.

Step-by-step explanation:

Her ratio is 1:10 because the first number is the number of seconds, and the second number is the number of feet. So for every 1 second, she travels 10 feet, as indicated in the original problem.

Hope this helps.

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23) A ball is launched into the air. The function h=-16 +126 gives the height of the

Paul [167]

The equation is missing 't' terms. The correct equation is:

$h=-16t^2+126t$

Answer:

(a) 248.06 ft

(b) 7.875 s

Step-by-step explanation:

Given:

Height of ball in air above ground is given as:

$h=-16t^2+126t$

(a)

At maximum height, the speed of the ball is 0 momentarily. Speed is nothing but rate of change of height which is the first derivative of height with time. Therefore,

At maximum height:

Speed = 0

$h'=0\\-16(2t)+126=0\\-32t+126=0\\32t=126\\t=\frac{126}{32}=3.9375\ s$

Now, maximum height is obtained by plugging in $t=3.9375$ . Thus,

$h_{max}=-16(3.9375)^2+126(3.9375)\\h_{max}=-248.0625+496.125=248.0625\ ft$

Therefore, the maximum height of the ball is 248.06 ft. (Rounded to nearest hundredth)

(b)

Now, total time of travel of the ball is the sum of time taken to reach maximum height and the time taken from maximum height to the bottom.

Also, time taken for upward journey would be same as that of downward journey. Therefore, total time taken is twice that of the upward journey.

We have,

Time to reach maximum height, $t = 3.9375\ s$

Therefore, total time the ball was in air = $2(t)=2\times 3.9375=7.875\ s$

Hence, the ball was in the air for 7.88 s. (Rounded to nearest hundredth)

3 0

3 years ago

Given the box plot, will the mean or the median provide a better description of the center?

alexandr402 [8]

Answer:

The median, because the data distribution is skewed to the right

Step-by-step explanation:

Min= 10.5

Q1 = 11.5

Median = 12.5

Q3= 13.5

Maximum = 15

The data is skewed towards the right because more values towards the right side as compared to the left side.

For data to be symmetrical, it has same shape on both sides of the median, which in our case is not possible.

So, for skewed data we always prefer median because it is less affected by the outliers and if mean is chosen, the value of mean is biased towards the side that has larger values while median does not get affected by it. So, we choose median.

our correct option will be:

The median, because the data distribution is skewed to the right

6 0

3 years ago

Read 2 more answers

Identify the center and radius. <br><br> (x+13)^2 +(y-8)^2 =10

SVEN [57.7K]

Answer:

Center: (−13,8)

Radius: √10

4 0

4 years ago