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Andreyy89
3 years ago
10

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

retch was a sizzling 6.509 s, at which he commented,"Cogito ergo zoom!" (I think, therefore I go fast!). a.) What was Chris Huber’s speed in meters per second(m/s)? b) In 2001, Sam Whittingham beat Huber’s record by 19.0 km/h. What was Whittingham’s time through the 200 m? (answer hours)
Mathematics
1 answer:
aleksklad [387]3 years ago
6 0

Answer:

Speed of Chris Huber = 30.726 m/s

Time taken by Sam = 5.55 s

Step-by-step explanation:

Given:

Distance = 200 m

Time taken by Chris Huber = 6.509 s

Now,

Speed of Chris Huber = \frac{\textup{Distance}}{\textup{Time}}

or

Speed of Chris Huber = \frac{\textup{200 m}}{\textup{6.509 s}}

or

Speed of Chris Huber = 30.726 m/s

Speed of Sam = Speed of Chris Huber + 19.0 km/h

Now,

1 km/hr = 0.277778 m/s

thus,

19.0 km/h = 19.0 × 0.27 = 5.278 m/s

thus,

Speed of Sam = 30.726 + 5.278 = 36.004 m/s

therefore,

Time taken by Sam = \frac{\textup{Distance}}{\textup{Speed}}

or

Time taken by Sam = \frac{\textup{200}}{\textup{36.004}} = 5.55 s

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Step-by-step explanation:

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3 years ago
Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy
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Answer:

84 ounces of pure gold

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Pure gold = 100% gold

Let the number of ounces of pure gold = x

Hence, we have the equation

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Which of the following could be the value of x in the equation x^2 - 21 = 100 Choose all the correct answers
konstantin123 [22]

How to solve your problem

x^{2}-21=100

Quadratic formula

Factor

1

Move terms to the left side

x^{2}-21=100

x^{2}-21-100=0

2

Subtract the numbers

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3

Use the quadratic formula

x=\frac{-\textcolor{#F28B82}{b}\pm \sqrt{\textcolor{#F28B82}{b}^{2}-4\textcolor{#C58AF9}{a}\textcolor{#8AB4F8}{c}}}{2\textcolor{#C58AF9}{a}}

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

x^{2}-121=0

a=\textcolor{#C58AF9}{1}

b=\textcolor{#F28B82}{0}

c=\textcolor{#8AB4F8}{-121}

x=\frac{-\textcolor{#F28B82}{0}\pm \sqrt{\textcolor{#F28B82}{0}^{2}-4\cdot \textcolor{#C58AF9}{1}(\textcolor{#8AB4F8}{-121})}}{2\cdot \textcolor{#C58AF9}{1}}

4

Simplify

Evaluate the exponent

Multiply the numbers

Add the numbers

Evaluate the square root

Add zero

Multiply the numbers

x=\frac{\pm 22}{2}

5

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

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6

Solve

Rearrange and isolate the variable to find each solution

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