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Phantasy [73]
3 years ago
10

By law, the maximum slope of a wheelchair ramp is 1/12.

Mathematics
2 answers:
sveta [45]3 years ago
4 0
\bf slope\implies \cfrac{\stackrel{\stackrel{rise}{height}}{4}}{\stackrel{\stackrel{run}{base}}{50}}\implies \cfrac{2}{25}\ne \cfrac{1}{12}
\\\\\\
\textit{one could adjust the height}\qquad \cfrac{h}{50}=\cfrac{1}{12}\implies h=\cfrac{50}{12}\implies h=4\frac{1}{6}
\\\\\\
\textit{or one could adjust the base}\qquad \cfrac{4}{b}=\cfrac{1}{12}\implies 48=b
Whitepunk [10]3 years ago
3 0
Slope is defined as rise (height) over run (length) so we can express this as slope = Height/Length. 

Your rule says that the maximum slope (H/L) cannot exceed 1/12.  If the height is 4 this means the length must be at least 4(12) = 48. 

In other words:  slope = H/L = 4(1)/4(12) = 4/48 = 1/12 

If L is less than 48 the the slope is Greater than 1/12 and this is not allowed.  Any length longer than 48 and the slope is less than 1/12 and this is OK. 

Since 50 > 48 the ramp will be acceptable
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Step-by-step explanation:

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Let y be f(x).

=> y = x² + 1

=> x² = y - 1

=> x = √(y - 1) because x is non-negative.

Hence f^-1(x) = √(x - 1), where x >= 1.

5 0
2 years ago
a soccer team practiced 3 times a week. each practice lasts for 110 minutes. the team practices for 14 weeks during the season.
Fittoniya [83]
3 weeks x 110 minutes = 330 minutes
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77 hours is your answer
5 0
3 years ago
Please help!<br> A - $1,550<br><br> B -$20,000<br><br> C -$2,000<br><br> D -$15,500
MrRa [10]

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4 0
3 years ago
Suppose that the length of a phone call in minutes is an exponential random variable with parameter λ = 1/ 8. If someone arrives
Elis [28]

Answer:

a) P=0.535

b) P=0.204

c) P=0.286

Step-by-step explanation:

The exponential distribution is expressed as

F(x>t)=e^{-\lambda t}

In this example, λ=1/8=0.125 min⁻¹.

a) The probability of having to wait more than 5 minutes

F(x>5)=e^{-0.125*5}=e^{-0.625}=0.535

b) The probability of having to wait between 10 and 20 minutes

F(1020)=e^{-0.125*10}-e^{-0.125*20}\\\\F(10

c) The exponential distribution is memory-less, so it is independent of past events.

If you have waited 5 minutes, the probability of waiting more than 15 minutes in total is the same as the probability of waiting 15-5=10 minutes.

F(x>15|t^*=5)=F(x>15)/F(x>5)=\frac{e^{-0.125*15}}{e^{-0.125*5}}=e^{-0.125*(15-5)}\\\\ F(x>15|t^*=5)=e^{-0.125*(10)}=F(x>10)=0.286

5 0
3 years ago
AMIGOS AND AMIGAS PLS HELP MY POOR BRAIN ILY FAM:<br> 1) 8+ 9p = 9p - 7<br> 2) 2(3x + 6) = 3(2x - 6)
olasank [31]

1. 9p - 9p = -8 - 7

0 = - 15

2. 6x + 12 = 6x - 18

6x - 6x = - 18 - 12

0 = - 30

That's what I got

6 0
2 years ago
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