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sineoko [7]
3 years ago
14

Order the numbers from least (top) to greatest (bottom). -9 -4 |-2| |-3| |-6| |1|

Mathematics
1 answer:
dexar [7]3 years ago
6 0

Answer:

-9, -4, |1|, |-2|, |-3|, |-6|

Step-by-step explanation:

-2,-3,-6 all are positive cause of absolute value

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A parachutist's speed during a free fall reaches 207 kilometers per hour. What is this speed in meters per second? At this speed
Mamont248 [21]
<span>The speed is 57.5 m/s and the parachutist will fall 1150 m in 20 seconds.

Explanation<span>:
We start out with the ratio 207 km/1 hr.

We know that 1 km = 1000 m; this means 207 km = 207*1000 = 207000 m. This gives us 207000 m/1 hr.

We know that 1 hr = 60 minutes, so we have 207000 m/60 min.

We also know that 1 min = 60 seconds, so 60 min = 60*60 = 3600 sec; this gives us 207000 m/3600 sec.

Dividing this, we get 57.5 m/s.

In 20 seconds, the parachutist will fall 57.5(20) = 1150 m.</span></span>
4 0
3 years ago
Read 2 more answers
Please help me with this problem ​
Reil [10]

1:150 = 3: x

3 x 150 = 450

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7 0
2 years ago
Which of the following represents a function with the greatest rate of change?
defon
So the rate of change can be found in different places.

For the first one:

This equation is in slope-intercept form, or y = mx + b.

m would be the slope/rate of change, and b the y intercept. (x and y would just be any sets of ordered pairs that fit into the equation.)

So if you look at which number is in the m spot, or the rate of change spot, you see that 5 is the rate of change.

For the second one: The formula for slope is:

m = \frac{ y_{2} -  y_{1} }{x_{2} -  x_{1} }

So just put in any ordered pairs in. I'm just going to put in the ordered pairs, (6, 30) and (4, 22).

Or,

m = (30 - 22) / (6 - 4)

Or,

m = 8/2

Or 4.

For the third one:

You can use the same formula as I stated above.

So you have to look for two ordered pairs here, two points.

So you can estimate that two of the points are: (0, 3) and (-2, -9).

So then just solve for that.

(-9 - 3) / (-2 - 0) = -12 / -2 = 6

For the last one:

Again, use the same equation.

m = (7 - 1) / (-1 - (-3))

 m = 6/2 

m = 3

So the one with the greatest rate of change would be C.
5 0
3 years ago
Read 2 more answers
Sarah is planning to fence in her backyard garden. One side of the garden is 34 feet long, another side is 30 feet long, and the
Sonbull [250]

Answer: $393

Step-by-step explanation: (34’+ 30’+67’) x $3.00 = 131 x 3.00 = 393

8 0
3 years ago
Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of
Shalnov [3]

Answer:

Owl= 67.14ft

Step-by-step explanation:

<em>See comment for complete question.</em>

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}

22^{\circ} 8'6'' = 22.135^{\circ}

30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}

30^{\circ} 40'30'' = 30.675^{\circ}

Considering Jason's position:

tan(22.135^{\circ}) = \frac{H}{x + 48}

Where x = distance between the tree and Alison

Make H the subject

H = (x + 48)tan(22.135^{\circ})

Considering Alison's position

tan(30.675^{\circ}) = \frac{H}{x}

Make H the subject

H = xtan(30.675^{\circ})

H = H

(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})

(x + 48) *0.4068 = x* 0.5932

Open bracket

x *0.4068 + 48 *0.4068 = 0.5932x

0.4068x + 19.5264 = 0.5932x

Collect Like Terms

-0.5932x+0.4068x = -19.5264

-0.1864x = -19.5264

0.1864x = 19.5264

Make x the subject

x = \frac{19.5264}{0.1864}

x = 104.76

Substitute 104.76 for x in H = xtan(30.675^{\circ})

H = 104.76 * tan(30.675^{\circ})

H = 104.76 * 0.5932

H = 62.14

The above represents the height of the tree.

The height of the owl is:

Owl= H + 5

Owl= 62.14 + 5

Owl= 67.14ft

7 0
2 years ago
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