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Korvikt [17]
3 years ago
15

1. A scuba diver is swimming around a coral reef 12.25 meters below sea level. He ascends (swims upward) 8.5 meters to look at a

sea turtle. Write an expression to describe the situation. What is his new position? Explain how you wrote the expression and solved the problem.
2. A scuba diver is 9 1/2 feet below sea level viewing some tropical fish. She descends (swims downward) 10 1/2 feet to get a closer look at a manta ray swimming on the sea bottom. Write an expression to describe the situation. What is her new position? Explain how you wrote the expression and solved the problem.
Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

His new position is 3.75 meters 12.25 - 8.5 = 3.75.

Her new position is 20 ft 9 1/2 + 10 1/2 = 20.

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The 1992 world speed record for a bicycle (human-powered vehicle) was set by Chris Huber. His time through the measured 200 m st
Reil [10]

Answer:

a) 30.726m/s and b) 5.5549s

Step-by-step explanation:

a.) What was Chris Huber’s speed in meters per second(m/s)?

Given the distance and time, the formula to obtain the speed is

v=\frac{d}{t}.

Applying this to our problem we have that

v=\frac{200m}{6.509s}= 30.726m/s.

So, Chris Huber’s speed in meters per second(m/s) was 30.726m/s.

b) What was Whittingham’s time through the 200 m?

In a) we stated that v=\frac{d}{t}. This formula implies that

  1. t=\frac{d}{v}.

First, observer that 19\frac{km}{h} =19,000\frac{m}{h}=\frac{19,000}{3,600}m/s= 5.2777m/s.

Then, Sam Whittingham speed was equal to Chris Huber’s speed plus 5.2777 m/s. So, v=30.726\frac{m}{s} +5.2777\frac{m}{s}= 36.003 m/s.

Then, applying 1) we have that

t=\frac{200m}{36.003m/s}=5.5549s.

So, Sam Whittingham’s time through the 200 m was 5.5549s.

5 0
3 years ago
Which graph represents the solution set of the system of inequalities?
Lyrx [107]
The answer to this is D
4 0
3 years ago
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What best describes the end behavior of the graph of f(x)=-x^4+5x-5
Neko [114]

Answer:

It describes multiplication

Step-by-step explanation:

As you can see its 5x-5 (the x is say "by" or "of), So when you look at it you can clearly see it's multiplication.

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Find a.<br> Round to the nearest tenth:<br> 27 cm<br> 102°<br> 28°<br> a = [? ]cm
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have you got this yet ??

4 0
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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y
Gekata [30.6K]

Answer:

y=\displaystyle-\frac{4}{3}x+22

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept
  • Parallel lines always have the same slope (<em>m</em>)

<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

<u />y=\displaystyle-\frac{4}{3}x -1<u />

The slope of the given line is \displaystyle-\frac{4}{3}, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be \displaystyle-\frac{4}{3}. Plug this into y=mx+b:

y=\displaystyle-\frac{4}{3}x+b

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

y=\displaystyle-\frac{4}{3}x+b

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22

Therefore, the y-intercept of the line is 22. Plug this back into y=\displaystyle-\frac{4}{3}x+b:

y=\displaystyle-\frac{4}{3}x+22

I hope this helps!

5 0
3 years ago
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