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lesantik [10]
3 years ago
6

If light travels at 3. 108 m/s and its frequency is 6. 1015 Hz, then its wavelength is:

Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0

Answer:

5 * 10^{-8} m

Step-by-step explanation:

The speed of light is 3 * 10^8 m/s and its frequency is 6 * 10^{15} Hz.

The speed of light is given as:

c = λ * f

where λ = wavelength of light

f = frequency of light

Therefore, the wavelength is given as:

λ = c / f

=> λ = \frac{3 * 10^8}{6 * 10^{15}}

=> λ = 5 * 10^{-8} m

The wavelength of the light is 5 * 10^{-8} m

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The area of the circle is 64pie cm. What is the radius in cm?
Vinil7 [7]

Answer: 8 centimeters

Step-by-step explanation: To find the radius of the circle, remember that the formula for the area of a circle is πr² and since we're given that the area of our circle is 64π, we can set up the equation 64π = πr².

To solve for <em>r</em>, we first divide both sides of the equation by π.

On the left side, the π's cancel and we're left with 64 and on the right side, the π's cancel and we're left with r².

So we have 64 = r².

Next, we take the square root of both sides to get 8 = r.

So the radius of our circle is 8 centimeters.

8 0
3 years ago
Read 2 more answers
I don’t understand these question
Lemur [1.5K]
I believe question 3 is B and question 4 is B
5 0
3 years ago
25 points for correct answer and giving brainliest
skad [1K]

Answer:

The height is 0 when it "drops".

3/2x + 9 = 0

3/2x = -9

3 = -9(2x)

3 = -18x

3/-18x

Change signs, time cant be negative.

x= 6

Another interpretation; Slope is negative it is falling. This interpretation is more accurate.

-3/2x + 9 = 0

-3/2x = -9

-3 = -9(2x)

-3 = -18x

6 = x

AFTER 6 SECONDS

7 0
3 years ago
I just need help with three, four, and seven. Solve the system of linear equations, and determine if the equation has one soluti
likoan [24]

3. If y=5x+9 and y=3x-2, then

5x+9=3x-2\implies2x+9=-2\implies2x=-11\implies x=-\dfrac{11}2

Then

y=5\left(-\dfrac{11}2\right)+9=-\dfrac{55}2+9=-\dfrac{37}2

(only one solution)

4. If y+2=4x, then y=4x-2. So we're told that 4x-5=4x-2 but this is impossible, because that would that for any x, we have -5 = -2. This is false, so this system has no solution.

7. "y is 6 less than 3 times x" means y=3x-6. "x is 2 more than one-third of y" means x=\dfrac13y+2. Solving the second equation for y gives y=3x-2, which would mean 3x-6=3x-2. But for the same reason as in (4), there is no solution. For any value of x, this equation gives the false conclusion that -6 = -2.

8 0
3 years ago
Carson needs 3 quarts of water to make fruit punch, but has only a l-cup measuring cup.
olga_2 [115]

Answer:

Cups of water she needs to make the punch is 12.

Step-by-step explanation:

Amount of water Carson need to make fruit punch = 3 quarts

2 cups is 1 pint

2  pints is 1 quart

1 pint = 1/2 quarts

2 cups is 1 pint which is 1/2 quarts

So, 1 cup:

1 cup is 1/2 times 2 quarts

1 quart is 1 times 2 times 2 cups equals 4 cups

So, 3 quarts equals 3 times 4 cups which equals 12 cups.

So it is 12 cups.

7 0
3 years ago
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