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Ronch [10]
3 years ago
13

A speedy tortoise can run with a speed of vT and a hare can run with a speed vH. The hare waits to rest for a time Δt0 after the

race begins and the tortoise starts and then runs as fast as he can, but the tortoise still wins by a shell (length of shell = s). The length of the racetrack is a distance, d. The race is considered over when the tortoise crosses the finish line. Using the symbols of the problem, write an equation for the amount of time that the hare ran, ΔtH.
Mathematics
1 answer:
Otrada [13]3 years ago
7 0

Answer:

ΔtH = (d -s) / vH

Step-by-step explanation:

Using time = distance / velocity,  

Let dH be the distance the hare ran and replace in the equation

ΔtH = dH / vH

Since the tortoise won by a shell (s) and the the length of the racetrack is d, the hare ran a distance equal to

dH = d -s

now dH is replace to obtained an equation for ΔtH

ΔtH = (d -s) / vH

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3 years ago
Which statement best describes why liquid water exists on Earth?
Vikki [24]

<u>Complete Question:</u>

Which statement best describes why liquid water exists on earth?

A. Earth experiences comet crashes and volcanic eruptions.

B. Earth experiences a strong magnetic field and lunar tides.

C. Earth has moderate temperatures and a strong gravitational force.

D. Earth has hydrogen bonds with the sun

<u>Correct Answer:</u>

Earth has a moderate temperature and strong gravitational force. This is the reason for existence of liquid water on Earth.

<u>Step-by-step explanation:</u>

Liquid water has the chemical formula of H₂O. So it is composed of mainly hydrogen and oxygen molecules with the present of different materials present in it based on the place it is located. As the water molecules are bonded by weak van der waals bond, it can be easily broken with the boiling point of 100 °C.

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8 0
3 years ago
Singh works at a restaurant where he is paid by the hour plus time-and-a-half for his hours over 40. Last week he worked 3 hours
Stolb23 [73]

Answer:

The hourly wage is $8.55 per hour

Step-by-step explanation:

Step 1: Determine the expression for the gross pay

Total gross pay=(Unit rate per hour×number of hours(≤40))+(Overtime rate×number of overtime hours)

where;

Total gross pay=$380.48

Unit rate per hour=x

Number of hours=40 hours

Overtime rate=x×(1 1/2)=1.5 x

Number of overtime hours=3 hours

Step 2: Replace to solve for hourly wage

380.48=(x×40)+(1.5 x)×3

40 x+4.5 x=380.48

44.5 x=380.48

x=380.48/44.5

x=8.55

The hourly wage is $8.55 per hour

5 0
3 years ago
What is the REMAINDER of 15,908 divided by 13?
stellarik [79]
The remainder is 9........
6 0
2 years ago
Read 2 more answers
Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4. (Input decimals only, such as 12.71, as the answer.)
soldier1979 [14.2K]
A= 3
b= 4

=3.14(a^2 + ab)
substitute the given a & b values in expression

=3.14((3)^2 + (3*4))
multiply inside parentheses

=3.14(9 + 12)
add inside parentheses

=3.14(21)
multiply

=65.94


ANSWER: 65.94

Hope this helps! :)
8 0
3 years ago
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