Which of the following expressions can be used to find x? Solve for x. Round to the nearest

The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.

Vaselesa [24]

Answer: The wavelength for X-rays with the given frequency is $1\times 10^{-10}m$

Step-by-step explanation:

To calculate the wavelength of light, we use the equation:

$\lambda=\frac{c}{\nu}$

where,

$\lambda$ = wavelength of the light

c = speed of light = $3\times 10^8m/s$

$\nu$ = frequency of light = $3\times 10^{18}s^{-1}$

Putting the values in above equation, we get:

$\lambda=\frac{3\times 10^8m/s}{3\times 10^{19}s^{-1}}=1\times 10^{-10}m$

Hence, the wavelength for X-rays with the given frequency is $1\times 10^{-10}m$

7 0

3 years ago

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A rectangular prism has a length of 8 in., a width of 4 in., and a height of 214 in.

Ivan

For this case we have that by definition, the volume of a rectangular prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b}:$ It is the area of the base

h: It is the height

So:

$A_ {b} = 8 * 4 = 32 \ in ^ 2\\h = 214 \ in$

The volume of the prism is:

$V = 32 * 214 = 6848 \ in ^ 3$

Now, the volume of the cubes is:

$V = (14) ^ 3 = 2744 \ in ^ 3$

Thus, we divide and find the number of cubes to fill the prism:

$n = \frac {6848 \ in ^ 3} {2744 \ in ^ 3}\\n = 2.5$

ANswer:

n = 2.5

8 0

3 years ago

600+15y=750. solve for y can I as well have the way you solved for y?

Pie

1.)subtract 600 from 750 in order to simplify
2.)divide by 15 on both sides to get y alone. Doing this cancels the 15 on the y and makes the right side equal 10
3.)y=10

4 0

3 years ago

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Solve the problem. Find the radius of a circle that has a circumference of 942 meters. m

Montano1993 [528]

Circumference is equal to diameter multiplied by pi. C=d X pi. To find the radius we need to rearrange this equation. We know what pi and the circumference are, so to find diameter we do circumference divided by pi. D=c/pi. 942/pi = 299.85. This gives us the diameter, for the radius simply divide by 2 which is 149.92 :)

5 0

3 years ago

A. A newborn red panda weighs 100 grams. A

77julia77 [94]

Answer:

$y=100\cdot (1.07)^d$

Step-by-step explanation:

Find the expression to represent how much you would expect a cub to weigh $d$ days after it's born as exponential growth function $y=a\cdot b^d,$ where $a$ is the initial panda's weight and $b$ is the rate of growth.

A newborn red panda weighs 100 grams, then $a=100.$

A healthy cub gains about 7% of its newborn weight per day, then

$b=1+0.07=1.07$

Hence,

$y=100\cdot (1.07)^d$

8 0

3 years ago