Answer:
a. 281.25 grams
b. The 500 represent the original amount of aspirin.
c. 3/4 tells us what amount of the aspirin remains after every hour.
d's answer is in the picture. Just copy the line.
Step-by-step explanation:
A is the only part that needs any explanation.
Since the t represent hours, I'll subsititute t for 2.
500 * (3/4)²
<em>3/4 squared is 9/16.</em>
500 * 9/16
<em>Multiply 500 by 9 to get 4500.</em>
4500/16
<em>Simplify 4500/16 to 1125/4 (4 is canceled out.)</em>
1125/4
<em>Divide 1125 by 4 to get 281.25</em>
281.25
281.25 grams of aspirin will be in the patient body after two hours.
The degree of a vertex is defined as the number of edges that touch the vertex. The (i, j)-th entry of the adjacency matrix tells you whether vertex i touches vertex j (1 if yes, 0 if no). Then the degree of vertex i is equal to the sum of the i-th row in the adjacency matrix.
• vertex 1 : degree = 0 + 1 + 0 + 0 + 1 = 2
• vertex 2 : degree = 1 + 0 + 1 + 1 + 1 = 4
• vertex 3 : degree = 0 + 1 + 0 + 1 + 0 = 2
• vertex 4 : degree = 0 + 1 + 1 + 0 + 1 = 3
• vertex 5 : degree = 1 + 1 + 0 + 1 + 0 = 3
So, the correct answer is A. 2.
Since a straight line is 180 degrees, if you subtract 180-48 you get 132. Divide this by 2 and get X= 66. Because all angle of a triangle add up to 180, subtract the 90 from the right angle and 66 from x from 180. 180-66-90= 24. This means z=24
The total cost she needs is 11000 times 5 which is 55,000. so you do 5 times 5000 for her annual grant is 25000 and 900 times 5 is 4500. now you add 25000 plus 4500 is 29500. 29500 is what she has. 55,000 minus 29500 is 25,500. 25,500 is what she needs now. now she has a loan of 400 per year. 400 times 5 is 2,000. 25,000 minus 2,000 is 23,000. so the answer is that she needs to borrow 23,0000.
