Answer:
In 16170 ways the committee can be formed.
Step-by-step explanation:
3 faculty members and 5 students are required to form a committee.
The eligible to serve on the committee are 7 faculty members and 11 students.
If each committee position has the same duties and voting rights.
Then, the number of ways of selecting 3 faculty members out of 7 eligible faculty members is 
.
Again, the number of ways of selecting 5 students out of 11 eligible students is given by 
.
Therefore, in (35 × 462) = 16170 ways the committee can be formed. (Answer)
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box
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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x
Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).
The height of the box is x inches due to this portion being folded up.
Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x
Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).
Answer: 1/3
Step-by-step explanation:
- Two points on this graph are (40, 80) and (70, 90). These points can be used to find the slope.
- The formula for slope is (y2-y1)/(x2-x1).
- Plugging our numbers into the formula:
- (80-90)/(40-70) = (-10)/(-30) = 1/3
Answer: 331.5 is the answer
Answer:
13
Step-by-step explanation:
f(4) means you plug in 4 for x so 2(4) + 5 = 8 +5 = 13
