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vitfil [10]
2 years ago
11

Koto’s average velocity along her route was 4. 5 m/s. She started at her house and traveled 15,000 meters north, 5,000 meters ea

st, 20,000 meters south, and then 5,000 meters west. What was the time of her trip? (There are 60 seconds in 1 minute. ) 18. 5 minutes 20. 4 minutes 2 hours 3 hours.
Mathematics
1 answer:
Lostsunrise [7]2 years ago
5 0

The time taken for her trip is 3 hours.

<h3>Given that</h3>

Koto’s average velocity along her route was 4. 5 m/s.

She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.

<h3>We have to determine</h3>

What was the time of her trip?

<h3>According to the question</h3>

She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.

<h3 /><h3>The calculation of such a trip of Koto can be done by applying the known formula of Time when the Speed is multiplied by Distance to compute the actual time of the trip.</h3>

The formula to calculate the time for her trip is;

\rm Speed = \dfrac{ Distance}{Time}\\&#10;\\&#10;Time = \dfrac{Distance}{Speed}\\&#10;\\&#10;

  • Using the formula above, the commute in each direction is added as 45000 meters or 45 kilometers.

  • If Koto's average speed is 4.5 meters per second, then she travels roughly 270 meters in one minute.

Substitute all the values in the formula;

\rm\ Time = \dfrac{Distance}{Speed}\\\\  Time = \dfrac{45000}{270}\\&#10;\\&#10;Time =166.7

Converting minutes into hours,

\rm Hours = \dfrac{Minute}{60}\\&#10;\\&#10;Hours = \dfrac{166.7}{60}\\&#10;\\&#10;Hours = 2.77 \\&#10;\\&#10;= 3\  hours

Hence, the time taken for her trip is 3 hours.

To know more about Time and Distance click the link given below.

brainly.com/question/4433818

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-/2 points
Rom4ik [11]

Answer:

Part 1) The domain of the quadratic function is the interval  (-∞,∞)

Part 2) The range is the interval  (-∞,1]

Step-by-step explanation:

we have

f(x)=-x^2+14x-48

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)

step 1

Find the domain

The domain of a function is the set of all possible values of x

The domain of the quadratic function is the interval

(-∞,∞)

All real numbers

step 2

Find the range

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have a vertical parabola open downward

The vertex is a maximum

Let

(h,k) the vertex of the parabola

so

The range is the interval

(-∞,k]

Find the vertex

f(x)=-x^2+14x-48

Factor -1 the leading coefficient

f(x)=-(x^2-14x)-48

Complete the square

f(x)=-(x^2-14x+49)-48+49

f(x)=-(x^2-14x+49)+1

Rewrite as perfect squares

f(x)=-(x-7)^2+1

The vertex is the point (7,1)

therefore

The range is the interval

(-∞,1]

6 0
3 years ago
I spent 3/4 of my money and then I spent 1/5 of what was left. 
Alborosie
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6 0
3 years ago
If the value of the blur radius is _____, no shadow will appear
vladimir1956 [14]

The value of the Blur radius is zero

Then no shadow will appear.

4 0
2 years ago
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3 years ago
The value of w varies directly with z. If z = 4, then w = 12. What is the value
IrinaVladis [17]

Answer:

18

Step-by-step explanation:

w varies directly with z, let k be the constant of proportionality, hence this can be represented by the equation:

w = kz

When z = 4, w = 12, hence we need to find the value of the constant of proportionality, substituting:

12 = 4k

Dividing both sides by 4:

12/4 = 4k/4

k = 3

Therefore the equation becomes:

w = 3z

The value of w when z = 6 is given as:

w = 3(6)

w = 18

7 0
3 years ago
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