The distance between the campsite and the rest area is 9 miles.
The given parameters:
- <em>Initial speed of the campers, u = 4.5 mph</em>
- <em>Final speed of the campers, v = 4 mph</em>
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Let the time of motion from the campsite to rest area = t (hours)
Time for return trip = t hours + 15 mins
= (t + 0.25) hours
Let the distance between the campsite and rest area = d
d = 4.5t
d = 4(t + 0.25)
4.5t = 4(t + 0.25)
4.5t = 4t + 1
4.5t - 4t = 1
0.5t = 1
t = 2 hours
The distance between the campsite and the rest area is calculated as follows;
d = 4.5t
d = 4.5 x 2
d = 9 miles
Thus, the distance between the campsite and the rest area is 9 miles.
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The consequences of not applying for funding for your studies may be advantageous or disadvantageous as the case may be.
<h3>Consequences of not applying for funding for one's studies</h3>
A major disadvantage of one not applying for funding for one study is that; If one doesn’t apply for financial aid from the college or university one wishes to attend, then one must pay the full cost of attending that institution from one’s own resources. However, a major advantage of not applying for funding for your studies is that the individual doesn't have to repay student loans after school and hence, doesn't accumulate debt.
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The distance of the object from the mirror is 3cm.
To calculate the distance of the object from the mirror, we make use of the mirror formula
<h3>Mirror formula</h3>
- 1/f = (1/u)+(1/v)............ Equation 1
Where:
- f = Focal length of the mirror
- v = image distance
- u = object distance.
Using the real is positive convention,
Given:
Substitute these values into equation 1 and solve for u
- 1/5 = (-1/10)+(1/u)
- 1/5+(1/10) = 1/u
- 1/u = (2+1)/10
- 1/u = 3/10
- u = 10/3
- u = 3.33
- u = 3 cm
Hence, The distance of the object from the mirror is 3cm.
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In recent years, the United States has been known to export more of its services abroad than it has imported due to its experienced workforce and industrialization.
<h3>
What is Export?</h3>
These are the goods and services which are sold to another country in exchange of money and its equivalents and is regarded as one of the determinants of the value of the gross domestic product of countries.
High technological advancement which led to the increase in industries etc in the United States has led to an increase in goods production which are sufficient enough to cater for the people. This is the why the excess is usually sold to other countries. The more exports a country has, the more revenue it generates to cater for other departments.
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The pythagorean theorem is used to calculate the lengths of a right triangle
The hypotenuse of the triangle is 6.5 cm
<h3>How to determine the hypotenuse of the triangle?</h3>
From the complete question, we have the following side lengths
- Opposite = 5.7 cm
- Adjacent = 3.2 cm
The hypotenuse of the triangle is then calculated as:
Hypotenuse^2 = Opposite^2 + Adjacent^2
This gives
Hypotenuse^2 = 3.2^2 + 5.7^2
Evaluate the sum
Hypotenuse^2 = 42.73
Take the square root of both sides
Hypotenuse = 6.5
Hence, the hypotenuse of the triangle is 6.5 cm
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