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Morgarella [4.7K]
3 years ago
14

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:
Reil [10]3 years ago
5 0

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.

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Sam is delivering two refrigerators that each weigh 105 kilograms there is an elevator with a weight limit of 1,00 pounds
rosijanka [135]

Question:

Sam is delivering two refrigerators that each weigh 105 kilograms. There is an

elevator with a weight limit of 1,000 pounds. Can he take both refrigerators on the

elevator in one trip? (1 kilogram 2.2 pounds)

Answer: yes he can

Step-by-step explanation:

Yes he can.

He can if the total weight of the 2 refrigerator didn't exceed the weight limit of the elevator.

Therefore:

Since 1 refrigerator weigh 105kg

2 refrigerator = 2 x 105kg = 210kg

The weight limit of the elevator 1000pounds convert to kg.

Since

2.2 pounds = 1kg

1000 pounds = 1000/2.2 kg

=454.55kg

Weight limit of the elevator = 454.55kg.

Since Weight of the 2 refrigerator is less than

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5 0
3 years ago
A quadrilateral WXYZ contains wxy where measure of wxy=92 degrees. Once rotated 270° about the origin and translated 2 units up,
Marianna [84]

Answer:

C. 92 degrees

Step-by-step explanation:

Given that the \angle{wxy}=92° which is one of the angles of the quadrilateral WXYZ

The quadrilateral is first rotated by 270° about the origin and then translated 2 units up, the new position of the quadrilateral is W'X'Y'Z'.

The shape of the quadrilateral is remained unchanged due to rotation and translation, so all the angles of the final quadrilateral W'X'Y'Z' is the same as the angles of the given quadrilateral WXYZ.

So,\angle{w'x'y'}= \angle{wxy}

By using the given value,

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Hence, option (C) is correct.

8 0
2 years ago
Which is an example of continuous data?
Lynna [10]

Answer:

A) amount of snowfall in a blizzard  

Step-by-step explanation:

Both continuous and discrete data are quantitative.

The difference is that  

  • Continuous data can take any value. You obtain it by measurement.
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The amount of snowfall in a blizzard is continuous data.  It can take any value such as 100.3 cm or 250.5 cm .

B) is wrong. The number of students who pass a math quiz is discrete data. You can't have half a student.

C is wrong. The number of languages an individual speaks is discrete data. You can't speak half a language.  

D) is wrong. The number or treadmills in a gym is discrete data. You can't have half a treadmill.

7 0
3 years ago
Read 2 more answers
A basketball player shoots a basketball that reaches a height above 15 feet before landing back on the ground exactly after 7 se
Papessa [141]

Answer:

I and IV

Step-by-step explanation:

Since the height of the basketball reaches above 15 feet, hence the maximum of the function should be greater than 15 feet. Also at 7 seconds, the ball is on the ground, hence f(7) = 0 feet

The maximum of a function is at x = -b/2a

i) f(x) = -(x-3)² + 16 = -(x² - 6x + 9) + 16 = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 16 = 16 > 15

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Hence this option is correct

ii) f(x) = -x² + 8x - 7

The maximum of a function is at x = -b/2a = -8 / 2(-1) = 4

f(4) = -4² + 8(4) - 7 = 9 < 15   not correct

Also f(7) = - 7² + 8(7) - 7 = 0

Hence this option is not correct since the maximum f(4) = 9 < 15  

iii)  f(x) = -(x-3)² + 14 = -(x² - 6x + 9) + 14 = -x² + 6x + 5

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 14 = 14 < 15

Also f(7) = - (7 - 3)² + 14 = -2

Hence this option is not correct since the maximum f(4) = 9 < 15 and f(7) ≠ 0

iv)f(x)  = -x² + 6x + 7

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f(3) = -(3)² + 6(3) + 7 = 16 > 15

Also f(7) = - (7)² + 6(7) + 7 = 0

Hence this option is correct

3 0
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A negatively charged balloon moves close to another balloon. They then repel each other. What can be said about the other balloo
lana66690 [7]

Answer: B: It has a negative charge.

Step-by-step explanation:

According to theory espoused by the French physicist, Charles-Augustin de Coulomb, like charges charges will repel each other and unlike charges will attract one another.

This means that objects with negative charges will repel each other. As the first balloon in the question was negatively charged, it would only repel the other balloon if it was negatively charged as well.

4 0
3 years ago
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