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butalik [34]
3 years ago
13

A freight train traveled 144 miles in 6 hours. At what rate, in miles per hour, did the train travel?

Mathematics
2 answers:
Maslowich3 years ago
6 0

Answer:

its 24mph

That’s your answer.

LuckyWell [14K]3 years ago
4 0

Answer:

144 mi / 6 hrs = x mi / 1 hr

Cross multiply  

6x=144

X=24

So 24 mi/hr

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The _____ _____, f(x) = x, is formed by the composition of a function and its inverse. (2 words)
jonny [76]

Answer:

Identity function    

Step-by-step explanation:

We are given the following in the question:

Let f(x) be a function.

Then, inverse of f(x) can be written as:

f^{-1}(x)

The composition function of the function and the reverse function can be found as:

(f\circf^{-1})(x) = f(f^{-1})(x) = x

which is an identity function.

Thus, the correct answer is

The identity function, f(x) = x, is formed by the composition of a function and its inverse.

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Step-by-step explanation:

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3 years ago
Two ships leave the same port at the same time. Two hours later ship A has traveled 12 miles and ship B has traveled 8 miles.
MakcuM [25]

Answer:

the angle between their paths is <em>100.8°</em>

Step-by-step explanation:

From the given information, you can construct a triangle, just like the one in the figure.

We will use the <em>Cosine Rule</em> which is:

c² = b² + a² - 2 b c cos(θ)

where

  • c = 16 miles
  • b = 8 miles
  • a = 12 miles

Therefore,

2 b c cos(θ) = b² + a² - c²

cos(θ) = (b² + a² - c²) / 2 b c

θ = cos⁻¹( (b² + a² - c²) / (2 b c) )

θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )

<em>θ = 100.8°</em>

<em></em>

Therefore, the angle between their paths is <em>100.8°</em>

4 0
3 years ago
Lauren and her family went to Maggiano's for dinner and spent $92.00. Lauren's family wanted to leave a 15% tip. How much will L
Andrews [41]

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105.8

Step-by-step explanation:

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3 years ago
Four students wrote statements about cosecant, secant, and cotangent values as shown below.
Rasek [7]

c. kayla is the answer

6 0
3 years ago
Read 2 more answers
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