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taurus [48]
2 years ago
13

For what power of q is its value 1?​

Mathematics
1 answer:
DedPeter [7]2 years ago
4 0

Answer:

  0, for q ≠ 0 and q ≠ 1

Step-by-step explanation:

Assuming q ≠ 0, you want to find the value of x such that ...

  q^x = 1

This is solved using logarithms.

__

  x·log(q) = log(1) = 0

The zero product rule tells us this will have two solutions:

  x = 0

  log(q) = 0   ⇒   q = 1

If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to <em>any</em> power.

_____

<em>Additional comment</em>

The applicable rule of logarithms is ...

  log(a^b) = b·log(a)

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I need help with both questions on the screen. if you can only answer one thats fine too!
meriva

Answer:

11. b = 30

Step-by-step explanation:

a^{2} + b^{2} = c^{2}

Substitute

16^{2} + b^{2}  = 34^{2}

256 + b^2 = 1156

b^2 = 1156-256\\b^2 = 900

b = \sqrt{900}

b = 30

Your welcome and don't forget to say <u>Thanks</u>

7 0
3 years ago
The reduce feature on a copy machine is set at 84%. The picture being copied is 4.5 inches wide. What will be the width of yhe r
snow_tiger [21]

Answer:

The answer is 3.825 inches, the reduced picture will be 84% of the size of the original

8 0
2 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
Convert 13pi/6 to a degree measure <br><br> A=390<br> B=2450.44<br> C=30<br> D=780
Burka [1]

Answer:

390 degrees

Step-by-step explanation:

The conversion factor is 180/pi

13 pi /6 * 180/pi

13/6 *180

390

5 0
3 years ago
If AB = 4 inches, which does AC equal?
scoray [572]

If AB = 4 inches, AC would equal to 8 inches. The correct answer between all the choices given is the last choice or letter D. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

3 0
3 years ago
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