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makkiz [27]
4 years ago
9

A circular running track is 1/4 mile long. Elena runs on this track, completing each lap in 1/20 of an hour. What is her speed?

Include the unit of measure
Mathematics
1 answer:
Nina [5.8K]4 years ago
6 0

Answer:

Her speed is 5 miles per hour.

Step-by-step explanation:

The formula of the speed is given by:

v = \frac{d}{t}

In which d is the distance, and t is the time.

In this question:

Distance: 1/4 mile = 0.25 miles.

Time: 1/20 hour = 0.05 hours.

So

v = \frac{d}{t} = \frac{0.25}{0.05} = 5

Since the distance is in miles and the time in hours, the speed is in miles per hour.

Her speed is 5 miles per hour.

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the height of a ball dropped from a 160 foot building after t seconds is represented by h(t)=160-16t^2.how high will the ball be
alekssr [168]

Answer:

The height of the ball after 3 secs of dropping is 16 feet.

Step-by-step explanation:

Given:

height from which the ball is  dropped = 160 foot

Time = t seconds

Function h(t)=160-16t^2.

To Find:

High will the ball be after 3 seconds = ?

Solution:

Here the time ‘t’ is already given to us as 3 secs.

We also have the relationship between the height and time given to us in the question.

So, to find the height at which the ball will be 3 secs after dropping we have to insert 3 secs in palce of ‘t’ as follows:

h(3)=160-16(3)^2

h(3)=160-16 \times 9

h(3)=160-144

h(3)=16

Therefore, the height of the ball after 3 secs of dropping is 16 feet.

8 0
3 years ago
Evaluate the following. d/dx(10^x + e^2)
polet [3.4K]
<span><span>d/<span>dx</span></span><span>[<span><span>10x</span>+<span>e2</span></span>]
</span></span><span>=<span><span><span>d/<span>dx</span></span><span>[<span>10x</span>]</span></span>+<span><span>d/<span>dx</span></span><span>[<span>e2}
</span></span></span></span></span><span>=<span>ln<span>(10)</span></span>⋅<span>10x</span>+0
</span><span>=ln<span>(10)</span>⋅<span>10<span>x</span></span></span>
4 0
3 years ago
Read 2 more answers
Malia is placing a barrier around the edge of a circular path with a diameter of 13 meters. The barriers are in lengths of 2.5 m
gizmo_the_mogwai [7]

we need some barriers such that total of length of all barriers should equal to the circumference of the circle.

so lets assume we need x barriers

then total length of all barriers = 2.5x meter

now radius of circular path = diameter / 2= 13/2 = 6.5 meter

circumference of path = 2× pi × r = 2 × 3.14 × 6.5

=40.82 meter

so now as per statement

2.5x = 40.82

x = 40.82/2.5 = 16.328 ≈ 17

so approximately 17 barriers are required

5 0
4 years ago
Read 2 more answers
1.66666666667 rounded to the tenth
Keith_Richards [23]
Hey there! :D

The tenth place is where the first 6 is, so:

1.666666666667= 

1.7 because 6>5

I hope this helps!
~kaikers
8 0
3 years ago
Read 2 more answers
8. A vending machine sells chips for $0.50 and
jeka94

Answer:

up to 5 candy bars

Step-by-step explanation:

5 0
4 years ago
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