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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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Answer:

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Step-by-step explanation:

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to find out

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we consider here a is 2

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so if volume increase 10 time

than

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a³= 80

a = 2 × ∛10

and

surface area increase here

surface area = 6a²

surface area = 6( 2 × ∛10 )²

surface area = 24 × 10^{\frac{2}{3} }    ............2

so from equation 1 and 2

surface area / surface area = 24 × 10^{\frac{2}{3} }  / 24

surface area = 10^{\frac{2}{3} }

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4 years ago
Can you answer these please? Show all work
Ganezh [65]

Answer:

i)  Sally' s grocery bill = c - \frac{5}{100}c = 0.95c

   Therefore the correct option is B.)

ii)   Therefore the expression which represents the expected population  

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Therefore the correct option is B.)

Step-by-step explanation:

Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%.

Let c represent the cost of Sally's groceries.

therefore the expression which represents Sally's grocery bill is given by :

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Therefore the correct option is B.)

The population of a city is expected to increase by 7.5% next year If p represents the current population, which expression represents the expected population next year?

Let p = current population of a city.

Therefore the expression which represents the expected population next year is given by :

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Therefore the correct option is B.)

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3 years ago
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3 years ago
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6 0
3 years ago
Given ƒ(x) = 9x + 54, find x when ƒ(x) = 18. <br> A)−6 B)−4 C)3 D)8
Katen [24]

Answer:

B. -4

Step-by-step explanation:

We want to find x such that f(x)=18.

We need to therefore solve 9x+54=18 forx.

9x+54=18

Divide both sides by 9:

(9x+54)/9=18/9

9x/9+54/9=18/9

Simplify:

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Subtract 6 on both sides:

x=2-6

Simplify

x=-4.

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Let's check.

f(x)=9x+54

f(-4)=9(-4)+54

f(-4)=-36+54

f(-4)=18

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7 0
4 years ago
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