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Grace [21]
3 years ago
6

The winner of a 1000 mile race drove his car to victory at rate of 124.51222mph. What was his time(to the nearest thousand of an

hr)?
Mathematics
1 answer:
NikAS [45]3 years ago
6 0

distance = rate times time, so time = distance / rate.

Here,

time = (1000 miles) / (124.51222 mph) = 0.125 hour = (1/8 hour)

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An arrow is launched upward with a velocity of 192 feet per second from the top of a 95-foot stage. What is the maximum height a
Shalnov [3]

9514 1404 393

Answer:

  671 feet

Step-by-step explanation:

There are a couple of ways to figure this. One is to use a sort of shortcut equation to find the distance traveled (d) by an object when subject to some initial velocity (v) and acceleration (a). Here the acceleration due to gravity is -32 ft/s².

  v² = 2ad

  d = v²/(2a) = (192 ft/s)^2/(2·32 ft/s²) = 576 ft

This height is in addition to the starting height of 95 ft, so the arrow's maximum height is ...

  max height = 95 ft + 576 ft = 671 ft

__

Another way to work this problem is to start with the equation for ballistic motion. Filling in the given initial velocity and height, we have ...

  h(t) = -16t^2 +192t +95

The time the arrow reaches the maximum height is the time representing the axis of symmetry of the parabola:

  t = -(192)/(2(-16)) = 6

Then the maximum height is ...

  h(6) = -16·6^2 +192·6 +95 = 671

The maximum height is 671 feet.

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<em>Additional comment</em>

For the standard-form quadratic ...

  y = ax^2 +bx +c

The axis of symmetry is ...

  x = -b/(2a)

6 0
3 years ago
Find the mean of the data set. if necessary, round to the nearest tenth. 18 14 8 22 25 8
Elden [556K]
To work out the mean of a data set add all the numbers together and divide them by the number of data items there are. 

18 + 14 + 8 + 22 + 25 + 8 = 95

95/6 = 15.8 (that answer is rounded)

6 0
3 years ago
Suppose your​ friend's parents invest $ 10,000 in an account paying 7 % compounded annually. What will the balance be after 5 ​y
Alik [6]
You use the formula Interest=principle (rate) time or i=prt. If you use that formula to solve, your answer will be 3,500. After five years, the balance will be $3,500. 

PLEASE MARK AS BRAINLIEST!
7 0
3 years ago
How do i graph the lines when the equations aren’t in slope intercept form????
jekas [21]

Slope-Intercept Form: y=mx+b

Standard Form: ax+by=c

Point- Slope: (y-y1)= m(x-x1)

There are multiple answers to your question-

  1. If you are only missing b(the y-intercept) but are given a set of points, plug the points into x and y and solve for b.
  2. If you are only missing the slope(m) but are given a set of points, plug the points into x and y and solve for m.
  3. If you are given the standard form/point-slope form, change the equation to slope intercept form.
  4. If you are given an complete form(there is an x and y; no missing variables), but are not sure what it is, plug in some numbers in x to find y, then graph.
7 0
3 years ago
Mr. brown sells horse supplies. A pair of riding gloves sells for $16. He says he will make $144 if he sells 9 pairs is it reaso
kap26 [50]
16 X 9 = 144. Yes this is completely reasonable.
6 0
3 years ago
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