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CaHeK987 [17]
3 years ago
10

In x-5=9, the correct way to isolate the variable is to

Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer: x=14

Step-by-step explanation:

Add 5 to both sides to get the x alone and get your answer.

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The base of a solid is bounded by the curve y = sqrt (x+1) the x-axis and the line x = 1. the cross sections, taken perpendicula
Andrei [34K]

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,

\displaystyle \int_{-1}^1 (x+1) \, dx = \left(\frac{x^2}2 + x\right) \bigg|_{-1}^1 = \boxed{2} ~~~~ (B)

3 0
2 years ago
If a basket of goods and services used to calculate CPI contains 2 pairs of socks at $2 each and 1 pair of shoes at $50, what wi
Svetach [21]

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\times2= $4

\therefore 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 \times2.05 =$4.10

\therefore 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

7 0
3 years ago
Collection of_______ is called Statistics.
siniylev [52]

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.

5 0
3 years ago
( HELP FAST PLEASE!!!!!!!!!) During her morning workout, Brennaugh does a circuit of sit-ups followed by burpees. She does four
Deffense [45]

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

5 0
3 years ago
Read 2 more answers
Expand and simplify <br><br> A. (x – 2y)(y – 3x)<br><br> B. (2p+3)(p^2-4p-7)
emmasim [6.3K]

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

Hope it helps

Please mark me as the brainliest

Thank you

5 0
2 years ago
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