See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
Answer:
B. 55.10
Step-by-step explanation:
Given:
1 pair of Shoes for 1st year = $50
2 pair of Sock for 1st year = $2 each = 2
2= $4
CPI for year 1 = Price of shoes for 1st year + Price of Sock for 1st year= $50 + $4 = $54
Now
1 pair of Shoes for 2nd year = $51
2 pair of Sock for 2nd year = $2.05 each = 2 2.05 =$4.10
CPI for Year 2 = Price of shoes for 2nd year + Price of Sock for 2nd year= $51 + $4.1 = $55.10
Hence CPI for Year 2 is $55.10
Answer:
Collection of numerical information is called Statistics
Step-by-step explanation:
From the Oxford dictionary, the definition of statistics (science) is: "the practice or science of collecting and analyzing numerical data in large quantities, especially to infer proportions in a whole from those in a representative sample".
While the definition of statistic (data) is: "a fact or piece of data obtained from a study of a large quantity of numerical data".
Statistics is a science, not a method, therefore answer can´t be a).
Not all sample data is necessarily a statistic, therefore answer can´t be b).
All statistics are numerical information.
Not all statistics are population data, therefore answer can´t be d).
Cleaned data is information filtered with a specific criterion, but not necessarily used in a statistic.
The most probable answer is c.
Answer:
1 round = 4 burpees 10 sit ups
Step-by-step explanation:
1 round = 4 burpees 10 sit ups
2 round = 8 burpees 20 sit ups
3 round = 12 burpees 30 sit ups
4 round = 16 burpees 40 sit ups
Answer:
A. (x−2y)(y−3x)
=(x+−2y)(y+−3x)
=(x)(y)+(x)(−3x)+(−2y)(y)+(−2y)(−3x)
=xy−3x2−2y2+6xy
=−3x2+7xy−2y2
B. (2p+3)(p2−4p−7)
=(2p+3)(p2+−4p+−7)
=(2p)(p2)+(2p)(−4p)+(2p)(−7)+(3)(p2)+(3)(−4p)+(3)(−7)
=2p3−8p2−14p+3p2−12p−21
=2p3−5p2−26p−21
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