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shepuryov [24]
3 years ago
10

A quarter has a diameter of 2.4. if it makes 8 rotations how far did it roll

Mathematics
2 answers:
Damm [24]3 years ago
8 0
Radius = 2.4/2
1.2
circumference = 2piR
= 12/5 pi
Distance = 12/5 pi * 8
= 60.3 units
PolarNik [594]3 years ago
5 0

Answer:

7.536

Step-by-step explanation:

I think it means to find the perimeter  and multiply it by 8.

The perimeter of a circle is called the circumference.

C = pi(d)

C = pi(2.4)

C = 7.536

My teacher has us use 3.14 for pi so if your teacher has you use something else just multiply it by 2.4.

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What is 55> -7v +6 plzz help, this my homework
Vanyuwa [196]
The answer is v>7 Because when solving the equation you do inverse operation on 6 which be negative six .Then subtract negative 6 on both sides.
Next you bring down negative 7v along with the solution to 55-6 which is 47.Then you divide 7 on both sides which gives you 7.Then bring down the v
and it give the solution of v>7

Hope this helps stacey:)    
8 0
3 years ago
The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is
Annette [7]

Answer:

  B.  97.2

Step-by-step explanation:

The sequence of positive terms is ...

  54, 24, 10 2/3, 4 20/27, ...

This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...

  S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)

  S = 97.2

The sum of the positive terms in the infinite series is 97.2.

8 0
2 years ago
10x0+10x1<br> what is the answer ?
sesenic [268]

Answer:

10

Step-by-step explanation:

10x0 is 0

10x1 is 10

6 0
2 years ago
Read 2 more answers
What is the difference of the polynomials?
Vilka [71]

Answer:

8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6

Step-by-step explanation:

We want to simplify;


(8r^6s^3-9r^5s^4+3r^4s^5)-(2r^4s^5-5r^3s^6-4r^5s^4)


We expand the bracket to obtain;


8r^6s^3-9r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6+4r^5s^4


We now group the like terms to obtain;


8r^6s^3-9r^5s^4+4r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6


We now simplify to get;

8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6


The correct answer is C


3 0
3 years ago
Read 2 more answers
each of 4 family members uses 175 minutes or fewer of their combined family cell phone plan. at the end of the month, the family
Mamont248 [21]

Answer:

 

x = ± ∜175 = ± 3.6371

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x^4-(175)=0

Step by step solution :

STEP

1

:

Trying to factor as a Difference of Squares:

1.1      Factoring:  x4-175

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 : 175 is not a square !!

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

Polynomial Roots Calculator :

1.2    Find roots (zeroes) of :       F(x) = x4-175

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers. The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -175.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,5 ,7 ,25 ,35 ,175

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -174.00    

     -5       1        -5.00        450.00    

     -7       1        -7.00        2226.00    

     -25       1       -25.00       390450.00    

     -35       1       -35.00       1500450.00    

     -175       1       -175.00       937890450.00    

     1       1        1.00        -174.00    

     5       1        5.00        450.00    

     7       1        7.00        2226.00    

     25       1        25.00       390450.00    

     35       1        35.00       1500450.00    

     175       1       175.00       937890450.00    

Polynomial Roots Calculator found no rational roots

Equation at the end of step

1

:

 x4 - 175  = 0

STEP

2

:

Solving a Single Variable Equation:

2.1      Solve  :    x4-175 = 0

Add  175  to both sides of the equation :

                     x4 = 175

                    x  =  ∜ 175  

The equation has two real solutions  

These solutions are  x = ± ∜175 = ± 3.6371  

Two solutions were found :

x = ± ∜175 = ± 3.6371

4 0
2 years ago
Read 2 more answers
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