Answer: 148.20 miles
Step-by-step explanation:
From the question, we are informed that every week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.
The total miles will Monica walk and run in a year will be calculated as:
Total miles walked in a week = 0.5 + 0.75 = 1.25 miles
Total miles run in a week = 1.6 miles
The total miles Monica walk and run in a year will then be:
= (1.25 + 1.6) × 52
= 2.85 × 52
= 148.20 miles
Answer:

The value of r is 0.451
The percentage decrease is about 45.1%
Step-by-step explanation:
The given exponential function is 
Using the exponent rule, 

Now the value of 
Thus, we can rewrite the function as

Therefore, the function in form 

The value of r is 0.451
The percentage decrease is about 0.451 ×100 = 45.1%
Answer:
<em>Explanation below</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
There are two basic relations of angles we need to recall:
- Supplementary angles add up to 180°
- Internal angles of a triangle add up to 180°
Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:
c = 180 - ( a + b )
Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus
c = 180 - d
From the two relations above, it follows that:
a + b = d
Answer:
The answer is C.
Step-by-step explanation:
Remember, to find the mean of some scores, you must add all the scores together, then you must divide by the number of scores you added. In this case, you would divide by four, because you had four numbers you added to gether.
3x^5 - 8x^3 - 2x^2 + 5
ur terms are : 3x^5 and -8x^3 and -2x^2 and 5
so u have a polynomial with 4 terms