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3 years ago

A wooden roller coaster at a theme park has a height restriction: passengers must be at least 45 inches tall.

1 answer:

4 0

H≥45 in

...

Place a solid dot at 45, because 45 in is part of the solution set, then extend a positive line from that dot going to the right.

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37. Construct Arguments Luis and Raul are

Katarina [22]

Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;

y = - 7.5x + 15
4 miles per hour

Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours

Change in distance, Δd = 11.25 - 6 = 5.25 miles

Assuming a constant speed :

Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr

Using the general form :

y = bx + c

At, x = 1.2 hours ;

Miles left, y = 6 miles

End point decreases by 7.5 mi/hr (-7.5 mi/hr)

Inputting the data into the equation :

6 = - 7.5(1.2) + c

6 = - 9 + c

c = 6 + 9 = 15 miles

The expression in slope intercept form becomes ;

y = -7.5x + 15

If Raul lives 5 miles closer to the beach ;

Time it will take Luis to get to the beach :

Time taken = (15 ÷ 7.5) = 2.5 hours

Distance Raul has to cover = 15 - 5 = 10 miles

To reach the beach after 2.5 hours ;

Speed required = (10 ÷ 2.5) = 4 mi/hr

Therefore, Raul has to ride at 4 miles per hour for the plan to work.

Learn more :brainly.com/question/18405415

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3 years ago

Solve using the completing the square method

riadik2000 [5.3K]

Answer:

answer is A and C

Step-by-step explanation:

here you go

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3 years ago

Tests show that the hydrogen ion concentration of a sample of apple juice is 0.0003 and that of ammonia is 3.1 x 10^-9. Find the

scoundrel [369]

PH can be calculated using the following equation
pH = -log [H₃O⁺]
for apple juice the hydronium /hydrogen ion concentration is 0.0003
pH = -log (0.0003)
pH = 3.5
correct answer is C

For ammonia
pH = -log (3.1 x 10⁻⁹)
pH = 8.5
answer should be 8.5

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3 years ago

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lorasvet [3.4K]

Answer: -437

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Answer: