Answer:
68.8 sq. inches.
Step-by-step explanation:
The triangular surfaces have sides 2 in by 3 in by 4 in.
So, half perimeter, s = 
So, the area of the triangular face is
sq. inches.
Now, the total surface area of the right triangular prism will be (2.9 × 2) + 7(2 + 3 + 4) = 68.8 sq. inches. (Answer)
You can group first two conjunctions and second two:

.
In first brackets you have common

and in second brackets common is 5:

.
ANSWER

EXPLANATION
The given function is a piecewise defined function.

is the y-value that corresponds to

To determine that y-value, we need to trace from

to where it meets the graph.
We then trace to the y-axis to determine the corresponding y-value as shown in the diagram.
From the graph, we can see that this x-value corresponds to a y-value of

This implies that, when

Therefore

See graph.
Answer:
25 = x
Step-by-step explanation:
Based on the equation we see that the thumb drives cost $200 which is why that is being subtracted. To calculate the break-even number of sales we need to make a total of 200 to cover the costs. We calculate this by matching the equation to 0 and solving for x...
0 = 8x - 200 ... add 200 on both sides
200 = 8x ... divide both sides by 8
25 = x
Finally, we can see that the committee will break even after selling 25 thumb drives which would make them $200 to cover all of their costs.
Answer:
d = 3 meters
Step-by-step explanation:
d = rt where d is the distance t is the time and r is the constant of proportionality
d = 18t
Changing 10 minutes to hours
10 minutes * 1 hours / 60 minute = 1/6 hour
d = 18 * 1/6 hour
d = 3 meters