A long distance runner has an average speed of 4m/s during a race. How far does the runner travel in 20 minutes?

During the first 14 minutes of a 1.0 hour trip, a car has an average speed 36 km/h. What must the average speed in km/h of the c

oksian1 [2.3K]

Answer:

85.5 km/h

Explanation:

$t_{1}$ = time interval for first phase = 14 min = $\frac{14}{60}$ h = 0.233 h

$t_{2}$ = time interval for second phase = 46 min = $\frac{46}{60}$ h = 0.767 h

$v$ = average speed for the entire trip = 74 km/h

$v_{1}$ = average speed in first phase = 36 km/h

$v_{2}$ = average speed in second phase

$d_{1}$ = distance traveled in first phase

$d_{2}$ = distance traveled in first phase

average speed is given as

$v = \frac{d_{1} + d_{2}}{t_{1} + t_{2}}$

$v = \frac{v_{1} t_{1} + v_{2} t_{2}}{t_{1} + t_{2}}$

$74 = \frac{(36) (0.233) + v_{2} (0.767)}{0.233 + 0.767}$

$74 = (36) (0.233) + v_{2} (0.767)$

$v_{2} = 85.5$ km/h

4 0

4 years ago

Correct Number Formats Numbers may be entered in several formats - including scientific notation and numerical expressions.

Illusion [34]

Answer:

a. Valid

b. Invalid

c. Invalid

d. Invalid

e. Valid

f. Valid

g. Invalid

Explanation:

a.

Since, it follows all the four rules,

Therefore, this number is Valid

b.

It uses upper case E, instead of lower case e.

Therefore, it is Invalid

c.

It violates third rule for including unit.

Therefore, it is Invalid

d.

It violates the first rule. As, there is a space between 6 and e. While in the example given in question, there is no gap.

Therefore, it is Invalid

e.

Since, it follows all the four rules,

Therefore, this number is Valid

f.

Since, it follows all the four rules,

Therefore, this number is Valid

g.

It violates third rule for including unit.

Therefore, it is Invalid

6 0

4 years ago

Which element of a valid contract is established by getting the signatures of all parties?

sweet [91]

The element of a valid contract which is established by getting the signatures of all parties is mutual agreement

<h3>What is an element of a valid contract?</h3>

An element of a valid contract simply refers to that promise made between two or more parties that which allow the courts to make judgement.

Some elements of valid contract are:

Offer
Acceptance
Consideration
Intention to create legal relation
Certainty and capacity.

So therefore, the element of a valid contract which is established by getting the signatures of all parties is mutual agreement

Learn more about elements of a valid contract:

brainly.com/question/15101023

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8 0

2 years ago

A country is deciding what to do about pollution glven off by power plants.

DENIUS [597]

Answer:

option B is the correct answer

Explanation:

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3 0

3 years ago

A 18.0-kg rock is sliding on a rough, horizontal surface at 7.10 m/s and eventually stops due to friction. the coefficient of ki

Bond [772]

A = .3*g = 2.94 m/s²

t = v/a = 9/2.94 = 3.061 sec 

W = E/t = ½mv²/t = ½*40*9²/3.061 = 529.2 watts

4 0

3 years ago