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irinina [24]
2 years ago
5

To stay in a hotel it costs $104 each night (n) plus a $15 fee for parking. Think of the linear function that demonstrates the t

otal cost (C) of staying in the hotel in terms of the number of nights (n) stayed. whats the initial value ? ​
Mathematics
1 answer:
Anna007 [38]2 years ago
7 0

Answer:

the equation is:    (104 * x) + 15 = y     i believe

Step-by-step explanation:

104 OF THE NUMBER of nights so times x because you dont know the number

and + 15 because of the fee

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Every female chicken lays 4 eggs. What is the constant of proportionality for the ratio of eggs to female chickens? 4 3
satela [25.4K]

Since every female chicken lays 4 eggs, if you have one chicken you have 4 eggs, if you have two chicken you have 8 eggs, and so on.

We can even build a little table to show some values:

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So, as you can see, the ratio between the number of eggs and the number of female chicken is 4.

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Lina20 [59]

Answer:

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Step-by-step explanation:

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3 years ago
A basketball gymnasium is 25 meters high, 80 meters wide and 200 meters long. We want to connect two strings, one from each of t
Rudiy27

Answer:

a) the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be 216.85 m

c) the angle that is formed by the strings is  1.23 rad

Step-by-step explanation:

assuming that we stand on one of the corners on the floor , so our coordinates are (0,0,0)  , then the coordinates of the center of the gymnasium   are found through

x center = (25 + 0)/2 = 12.5 m

y center = (80+ 0)/2 = 40 m

z center = (200+ 0)/2 = 100 m

then the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be the modulus of the vector that points from our position to the diagonally opposite corners

|S| = √(25²+80²+200²) = 216.85 m

c) the angle can be found through the dot product of the vectors that represent the strings S₁ and S₂

S₁ =(25,80,10)

S₂ =(-25,80,100)

then

S₁*S₂ = 25*(-25) +80*80 + 100*100 = 15775

but also

S₁*S₂ = |S₁||S₂| cos θ = |S|² * cos θ

S₁*S₂ =  |S|² * cos θ

cos θ= S₁*S₂/|S|²

θ= cos ⁻¹ ( S₁*S₂/|S|² ) = cos ⁻¹ [15775/(25²+80²+200²)] = 1.23 rad

7 0
2 years ago
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