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Galina-37 [17]
3 years ago
6

The speed of light is 3.0*10^8 m/s. Red light has a wavelength of 7 *10^-7 m. What is its frequency?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
6 0
Frequency : f=c/lambda=3.0e8/7e-7=3/7*10^15 Hz~4.3*10^14 Hz=430THz
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Simplify the expression so there is only one positive power for each base. ​
katen-ka-za [31]

Answer:

Option (A)

Step-by-step explanation:

The given expression is,

(5^{-2}\times 4^{-4})^{-2}

Since x^{-1}=\frac{1}{x} and \frac{1}{x^{-1}}=x

5^{2}=\frac{1}{5^{-2}}

4^{2}=\frac{1}{4^{-2}}

Therefore, (5^{-2}\times 4^{-4})^{-2}=\frac{1}{(5^{-2}\times 4^{-4})^{2}}

                                         =\frac{1}{(5^{-2})^2\times (4^{-4})^2}

                                         =\frac{1}{5^{-4}\times 4^{-8}}

                                         =\frac{1}{5^{-4}}\times \frac{1}{4^{-8}}

                                         =5^{4}\times 4^{8}                            

Option (A) will be the answer.                                          

8 0
3 years ago
Use the quadratic formula to solve 3x2 + 5x + 2 = 0.D. x = 2, –3
Neporo4naja [7]
Quadratic Formula:


         -b  +/-  √b² - 4ac
x = --------------------------
                 2a


In your equation 3x² + 5x + 2 = 0:

a = 3
b = 5
c = 2

Now, plug in these values into the formula.

         -5 +/- √5² - 4(3)(2)                        -5 +/- √25 - 4(6)
x = --------------------------------  ⇒  x = -----------------------------
                   2(3)                                               6
                                                                 
         -5 +/- √25 -24                    -5 +/- √1                  -5 +/- 1
x = ------------------------  ⇒  x =  ---------------  ⇒  x = --------------
                 6                                     6                            6

               -5 +/- 1
Split x = ------------ into two solutions by solving it.
                    6

        -5 + 1         -4
x = ------------ = ------ 
            6             6
 
       -5 - 1          -6
x = ----------- = ------ = -1
           6             6

The two final solutions are x = -1 and x = -4/6


8 0
3 years ago
What is the solution to the equation 2k-10/-7=8
Rasek [7]
\sf\dfrac{2k-10}{-7}=8

Multiply -7 to both sides:

\sf2k-10=-56 

Add 10 to both sides:

\sf2k=-46 

Divide 2 to both sides:

\sf~k=-23 
6 0
3 years ago
Read 2 more answers
Which statement best describes the expression 3 + 2 ÷ y? (1 point) The quotient of y and the sum of 3 and 2 The quotient of the
Gelneren [198K]

Answer:

The sum of 3 and the quotient of y and 2.

Step-by-step explanation:

4 0
3 years ago
CAN SOMEONE PLEASE JUST ANSWER THIS ASAP FOR BRAINLIEST!!!
Julli [10]

Maybe the answer is -4 ....? I just can't find any more logic to this problem.

5 0
3 years ago
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