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Debora [2.8K]
2 years ago
13

Rosa is converting a unit of measure in one system to a unit of measure in another system. 1,760 yd1 mi⋅0.914 m1 yd⋅1 km1,000 m

Which statement about Rosa's calculations is true?
Rosa is finding the number of kilometers in a mile.


Rosa is finding the number of meters in a mile.


Rosa is finding the number of miles in a kilometer.


Rosa is finding the number of yards in a kilometer.
Mathematics
1 answer:
kodGreya [7K]2 years ago
8 0

Answer: Rosa is finding the number of kilometers in a mile.

Step-by-step explanation:

According to the given information, we have:

1,760 yd=1 mi

0.914 m=1 yd

1 km=1,000 m

So, as we can see, Rosa wants to convert miles to yards, then yards to meters and finally meters to kilometers:

(1 mi\frac{1,760 yd}{1 mi})( \frac{0.914 m}{1 yd})( \frac{1 km}{1,000 m})=1.608 km

Then:

1  mi=1.608 km This is the number of kilometers in a mile.

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What are the domain and range of f (x) = (one-fifth) Superscript x?
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The domain of the function is all real numbers (-\infty,\infty) and the range is all positive real numbers (0,\infty)

Step-by-step explanation:

We have the following function f(x)=(\frac{1}{5} )^x and we want to find the domain and the range.

The function we have is an example of an exponential function f(x)=b^x with b > 0 and b ≠ 1. This types of functions in general have the following properties:

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The domain of a function is the specific set of values that the independent variable in a function can take on.

When determining domain it is more convenient to determine where the function would not exist.

This function has no undefined points nor domain constraints. Therefore the domain is (-\infty,\infty).

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Time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours

<h3><u>Solution:</u></h3>

Given it takes Max 1.8 hours to walk home from work at a rate of 3.5km/h

We have to find time taken by Max to cover the same distance walking at 4.2 km/h

<em><u>The relation between speed and time is given as:</u></em>

speed = \frac{distance}{time}

<em><u>CASE 1:</u></em>

It takes Max 1.8 hours to walk home from work at a rate of 3.5km/h

Let us first find the distance covered

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