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Vilka [71]
3 years ago
9

I really need help with this since it’s practice for my midterms

Mathematics
2 answers:
Eduardwww [97]3 years ago
6 0

Answer:

It is D

Step-by-step explanation:

xz_007 [3.2K]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Evaluate the fractions inside the absolute value

2 \frac{5}{6} + \frac{7}{4} ( change mixed number to improper fraction )

= \frac{17}{6} + \frac{7}{4} ( the LCM of 6 and 4 is 12 ) , then

= \frac{17(2)}{6(2)} + \frac{7(3)}{4(3)}

= \frac{34}{12} + \frac{21}{12} ( add the numerators, leaving the common denominator )

= \frac{55}{12}

= 4 \frac{7}{12} → D

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At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?
hichkok12 [17]

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

d*sin(\theta) = m\lambda

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle              

At the first-order maximum (m=1) at 20.0 degrees we have:

\frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342

Now, to produce a second-order maximum (m=2) the angle must be:

sin(\theta) = \frac{\lambda}{d}*m

\theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ}

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.    

I hope it helps you!                                                        

6 0
3 years ago
A​ 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} . Find the probability
Free_Kalibri [48]

Answer:

11/12

Step-by-step explanation:

Greater than 1: 2,3.... 12

P(greater than 1) = 11/12

7 0
3 years ago
Read 2 more answers
-y-4=4x<br> put in y=mx+b
marishachu [46]

-y-4=4x\\ \\ -y=4x+4\\ \\ y=-4x-4

<h3>First part of the problem:</h3><h3>-y - 4 = 4x</h3><h3>    + 4   + 4</h3><h3>-y + 0 = 4x + 4</h3><h3>      -y = 4x + 4</h3><h3 />

Hope this helps!

3 0
3 years ago
Can someone help please
sergey [27]
The answer is  12.65 , your welcome
3 0
3 years ago
Read 2 more answers
You are comparing cell phones. The old model is 7/8 of an inch thick. The new model is 3/5 of an inch thick. How much thinner is
Sloan [31]

The new model is 11/40 of an inch thinner than the old model.

In order to do this, we need to subtract the new model from the old model.

7/8 - 3/5

In order to complete this, we will need common denominators.

35/40 - 24/40

Then simply complete the operation.

11/40

3 0
3 years ago
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