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Mashutka [201]
3 years ago
7

Which describes the combined variation in the formula h=V/pie r2

Mathematics
1 answer:
Mice21 [21]3 years ago
6 0

Answer:

The correct option is (c).

Step-by-step explanation:

The combined formula is given by :

h=\dfrac{V}{\pi r^2} ...(1)

h is height

V is volume

r is radius

It is clear from formula (1) that h varies directly with V and inverse;y with the square of r.

Hence, the correct option is (c).

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Which are the solutions of the quadratic equation x2 =-5-3
alexdok [17]

Answer: x = 2 • ± √2 = ± 2.8284

Step-by-step explanation:

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =  

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.  

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 8 is not a square !!  

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step  1  :

 x2 - 8  = 0  

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    x2-8 = 0  

Add  8  to both sides of the equation :  

                     x2 = 8  

 

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 8  

Can  √ 8 be simplified ?

Yes!   The prime factorization of  8   is

  2•2•2  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 8   =  √ 2•2•2   =

               ±  2 • √ 2  

The equation has two real solutions  

These solutions are  x = 2 • ± √2 = ± 2.8284  

 

Two solutions were found :

                  x = 2 • ± √2 = ± 2.8284

Not sure what you need help with, but I hope I helped you somehow.

5 0
3 years ago
A group of 20 students in four adults are going on a field trip to the museum What is the ratio of students to adults complete t
stepladder [879]

Answer:

5:1

Step-by-step explanation:

Originally the ratio is 20:4

but then it is simplified to 10:2

then 5:1

6 0
2 years ago
Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,
Alona [7]

Step-by-step explanation:

I don't know the answer to this one so could someone please tell me

Thanks

7 0
3 years ago
PLS HELP<br> THE SQUARE ROOT OF -17
jek_recluse [69]

Answer:

i√17 ≈ 4.123106i

Step-by-step explanation:

The square root of a negative number is "i" times the square root of its absolute value. It is an imaginary number.

_____

i is generally the symbol used for √(-1). In some fields, such as electrical engineering, where i has a different meaning, the symbol j may be used instead.

6 0
3 years ago
A team of 3 QA testers and l QA team lead is working on a project. The team finishes
valina [46]

The team-lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.

<h3>What is average?</h3>

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

Let's suppose the team lead salary is x and the team-lead receives, $600 more than the average salary of the entire team then,

The team lead salary:

\rm x = \dfrac{1200+1200+1200+x}{4} + 600

4x = 3600+ x+ 2400

3x = 6000

x = $2000

Thus, the team lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.

Learn more about the average here:

brainly.com/question/24057012

#SPJ1

6 0
2 years ago
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