Answer:

Step-by-step explanation:
Given:
The expression is given as:

The equivalent expression to the above expression is given as:

Now, simplifying the original expression using the law of indices:

So,
. The expression becomes:

Now,
is a common factor to both the terms, so we factor it out. This gives,

Now, on comparing the simplified form with the equivalent expression, we conclude:

Therefore, the value of 'A' is 
You can use Newton's law, Resultant force=Mass×Acceleration.To find the acceleration take force over mass of the person which is 761N÷75.0kg.Hope this helps.
Answer:
4(9)+8=44
Step-by-step explanation:
The vertex is in the form (x, y).
The x value of the vertex is found using x = -b/2a.
After finding the x values, plug it into the given inequality to find the y value of the vertex.
Then express the vertex as a point in the form (x, y).
1) Distance = speed x time
time = distance/speed
time = 8054/715 = 11.26 hours or 11 h and 15 minutes (0.26 x 60 = 15.6)
2) The mode in a statistical series is the number that is repeated most or in short the highest frequency. In you example we notice that 12 is repeated twice, whereas the others are not repeated. Then the mode is 12.
3) The cost of each game = $17.99, so with his $65 he can buy:
65/17.99 = 3.61 . Obviously he can't buy 0.61 game, then he can buy
only 3 games (3 x 17.99 = $53.97) and keep in his pocket :
65 - 53.97 = $11.03