1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Arisa [49]
3 years ago
13

A coin placed below a rectangular glass prism of thickness 7.5cm and refractive index 1.5 is viewed vertically above the glass.

Calculate the apparent displacement of the coin.
Mathematics
1 answer:
aleksklad [387]3 years ago
5 0

Answer:

The apparent displacement of the coin is 2.5 cm

Step-by-step explanation:

Mathematically;

shift = real depth * (1-1/refractive index)

From the question;

real depth = 7.5 cm and refractive index = 1.5

Thus, substituting this, we have;

shift = 7.5 * (1-1/1.5)

shift = 7.5 * (1/3)

shift = 7.5/3 = 2.5 cm

You might be interested in
How do you solve 3+56684
romanna [79]
Just make the problem into a form in which you can solve

56684
+      3

Add 3
Final Answer: 56687
5 0
3 years ago
Read 2 more answers
Write an expression in factored form for the polynomial of least possible degree graphed below.
dexar [7]

Answer:

- 1/64 (x+4)² (x-3) (x-4) = 0

Step-by-step explanation:

f(x) = a (x+4)²(x-3)(x-4)   ... curve touch (-4,0) and not cross x axis

x=0   f(x) = -3

a (4)² * (-3) * (-4) = -3

a = - 1/64

- 1/64 (x+4)² (x-3) (x-4) = 0

5 0
3 years ago
What is the slope of the line with an x-intercept value of -6 and a y-intercept value of 2
taurus [48]

Answer:

I think its 0 or undefined

Step-by-step explanation:

8 0
3 years ago
Solve the equation using the substitution u = y/x. When u = y/x is substituted into the equation, the equation becomes separable
bekas [8.4K]

Answer:

\frac{u^2+3}{-u^3+u^2-2u}u'=\frac{1}{x}

Step-by-step explanation:

First step: I'm going to solve our substitution for y:

u=\frac{y}{x}

Multiply both sides by x:

ux=y

Second step: Differentiate the substitution:

u'x+u=y'

Third step: Plug in first and second step into the given equation dy/dx=f(x,y):

u'x+u=\frac{x(ux)+(ux)^2}{3x^2+(ux)^2}

u'x+u=\frac{ux^2+u^2x^2}{3x^2+u^2x^2}

We are going to simplify what we can.

Every term in the fraction on the right hand side of equation contains a factor of x^2 so I'm going to divide top and bottom by x^2:

u'x+u=\frac{u+u^2}{3+u^2}

Now I have no idea what your left hand side is suppose to look like but I'm going to keep going here:

Subtract u on both sides:

u'x=\frac{u+u^2}{3+u^2}-u

Find a common denominator: Multiply second term on right hand side by \frac{3+u^2}{3+u^2}:

u'x=\frac{u+u^2}{3+u^2}-\frac{u(3+u^2)}{3+u^2}

Combine fractions while also distributing u to terms in ( ):

u'x=\frac{u+u^2-3u-u^3}{3+u^2}

u'x=\frac{-u^3+u^2-2u}{3+u^2}

Third step: I'm going to separate the variables:

Multiply both sides by the reciprocal of the right hand side fraction.

u' \frac{3+u^2}{-u^3+u^2-2u}x=1

Divide both sides by x:

\frac{3+u^2}{-u^3+u^2-2u}u'=\frac{1}{x}

Reorder the top a little of left hand side using the commutative property for addition:

\frac{u^2+3}{-u^3+u^2-2u}u'=\frac{1}{x}

The expression on left hand side almost matches your expression but not quite so something seems a little off.

5 0
3 years ago
school district ordered 247 boxes of pencils. Each box coA school district ordered 247 boxes of pencils.Each box contains 100 pe
exis [7]

Step-by-step explanation:

2,470 pencils each class room gets

247 * 100 = 24,700

24,700 / 10 = 2470

3 0
3 years ago
Other questions:
  • What is the value of p
    14·2 answers
  • Need help. Anything is appreciated!
    7·1 answer
  • Solve for a = ____.<br><br> 1. 6<br> 2. 4<br> 3. 9
    9·1 answer
  • Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer
    8·1 answer
  • Explain what is true if a rectangular prism and a cylinder have the same volume and the same height.
    11·1 answer
  • -3y^10-5y^14: Write in standard form, find the degree, and classify the number of terms
    11·1 answer
  • What is the volume of the cone below?
    12·1 answer
  • due to delays, a company had to extend a project from 90 days to 265 days. what was the percentage increased in time to complete
    10·1 answer
  • It's actually this question
    10·1 answer
  • Which summation formula represents the series below?<br> 13 + 9 + 5 + 1
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!