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Cerrena [4.2K]
3 years ago
13

The distance traveled by a falling object is directly proportional to the square of the time it takes to fall that far. If the o

bject falls 100 feet in 2.5 seconds, how far does it fall in 5 seconds?
Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0

Answer:

400 ft

Step-by-step explanation:

Let the distance traveled = d

Let the time taken = t

d α t^2

d = kt^2

k = d /t^2

When d = 100 and t = 2.5secs

k = 100/ (2.5)^2

k = 16

d = 16t^2

When t = 5secs

d = 16(5)^2

d = 16 * 25

d = 400 ft

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On the first day, a company has 64 orders for shipping crates on backorder. Every day customers order 18 more shipping crates. I
SOVA2 [1]

The <em><u>correct answer </u></em>is:

B. 14

Explanation:

Let x be the number of days.  On day 1, we begin with 64 orders.  We gain 18 orders per day; this is 18x, and gives us

64+18x.

We also make 28 crates per day, which decreases the number of crates we need by 28 per day; this is -28x, and gives us

64+18x-28x

Combining like terms, we get

64-10x

For day 5, we replace x with 5:

64-10(5) = 64-50 = 14

4 0
3 years ago
What is the interquartile range of the data set? {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45}
MissTica
Order the number:
42,42,45,45,48,50,50,55,60,65,80

Mean:50
Quartile 1:45
Quartile 3:60

60-45=15. As a result, the interquartile range is 15. Hope it help!
5 0
3 years ago
Read 2 more answers
Solve for m <br>5m - 10m = 20<br><br>can anyone help me out?​
sweet-ann [11.9K]

Answer:

m=-4

Step-by-step explanation:

5m-10m=-10m+5m=-(10m-5m)=-5m=20

divide by 5 on both sides, -m=4

miltiply by -1 on both sides, m=-4

8 0
2 years ago
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Mhanifa please help this is due soon
kvv77 [185]

Answer:

<u>Use Pythagorean theorem:</u>

  • a² + b² = c²

#7

  • 3² + 7² = 9 + 49 = 58
  • (√57)² = 57
  • 58 ≠ 57
  • No

#8

  • 11² + 2² = 121 + 4 = 125
  • (5√5)² = 25*5 = 125
  • 125 = 125
  • Yes
3 0
2 years ago
<img src="https://tex.z-dn.net/?f=3x%2B9%2B2x%3Dx-2x-3" id="TexFormula1" title="3x+9+2x=x-2x-3" alt="3x+9+2x=x-2x-3" align="absm
V125BC [204]

Answer:

Step-by-step explanation:

Equation

3x + 9 + 2x = x - 2x - 3              

Solution

Combine all the like terms.

3x+2x+9 =  x - 2x - 3

5x + 9 = -x - 3                            Add x to both sides of the equation

5x+x +9 = -x+x -3                      Combine

6x + 9 = - 3                                Subtract 9 from both sides of the equation

6x+9-9 = - 3-9                           Combine

6x = -12                                      Divide both sides by 6

6x/6 = -12/6

x = - 2

Answer x = - 2

3 0
2 years ago
Read 2 more answers
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