thanks so much for the help!! you don't have to put the showed work!

Thanks So Much For The Help!! You Don't Have To Put The Showed Work!

Answers

Answer 1

Answer:

75 points ( more than?? you didn't add the drop-down list ) today's score.

Hope this helps!

Step-by-step explanation:

y = mx + b

y = 5x + b

(50) = 5(6) + b  -> b = 20

y = 5x + 20

If Carlos plays the game today for 0 min, he will get a score of 20 ( odd...  how is that possible )

But tomorrow, he plans to play for an extra 15 min, so he will get a score of 95 ( ( 5 × 15 ) + 20 ). The question asks for how much his score will change so his score will change by 75 points ( 95 - 20 ).

You could also just do 15 × 5 to get 75 :)


Related Questions

In the trapezoid below, AP = 6, PB = x + 3, CD = 2x + 6, AC = 10 and the area is 174. Find the value of x to the nearest tenth.​

Answers

The value of x in the trapezoid given, to the nearest tenth, is: 10.5.

What is a Trapezoid?

A trapezoid is a quadrilateral that has two sides only that are parallel to each other.

What is the Area of a Trapezoid?

To find the area of a trapezoid, the formula used is expressed as: 1/2(a + b) × h, where:

a and b are length of the two base sides that are parallel.h is the height of altitude of the trapezoid.

Given the following:

Area of trapezoid = 174 units²

AP = 6

PB = x + 3

CD = 2x + 6

AC = 10

Using the formula, we variables in the formula are:

a = AP + PB = 6 + x + 3 = x + 9

b = CD = 2x + 3

h = PC = √(AC² - AP²)

h = √(10² - 6²) = 8

Plug in the values into 1/2(a + b) × h:

174 = 1/2(x + 9 + 2x + 3) × 8

174 = 1/2(3x + 12) × 8

174 = (3x + 12) × 4

174 = 12x + 48

174 - 48 = 12x

126 = 12x

126/12 = x

10.5 = x

x = 10.5

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Trail A is 6 3/4 miles long. Trail B is 8 1/2 miles long. How many miles longer is Trail B than Trail A

Answers

Given the length of both trail, Trail B is 7/4 miles longer than Trail B.

How many miles longer is Trail B than Trail A?

Given that;

Length of Trail A = 6 3/4 = [ (6×4 + 3 )/4 = 27/4 miles Length of Trail B = 8 1/2 =  [ (8×2 + 1 )/4 = 17/2 miles

To determine how many miles longer is Trail B more than Trail A, we subtract the length of tail A from Tail B.

Trail B - Trail A

17/2 - 27/4

17/2 is the same as; 34/4

34/4 - 27/4

We combine the numerators over common denominator

(34 - 27 )/4

7/4 miles

Given the length of both trail, Trail B is 7/4 miles longer than Trail B.

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The medical assistant weighs patients each month. Mrs. Smith weighed 120 pounds last month.
Over the last 2 months she gained 1½ and - pounds. What is Mrs. Smith's current weight?

Answers

13) 120 + 1.5 + 0.25 = 121.75 pounds

14) 4 - 1.5 = 2.5 pints

15) (2.25)(32)= $72

13. Mrs. Smith's current weight is 121.75 pounds.

14. The students should consume an additional 2.5 pints of water.

15. The nurse's overtime earnings amount to $72.00.

Given are words problems based on mixed numbers:

13. To find Mrs. Smith's current weight, we need to add the weight gained over the last two months to her weight last month.

Weight gained in the first month: 1 1/2 pounds

Weight gained in the second month: 1/4 pounds

Total weight gained over the last two months: 1 1/2 + 1/4 = 1 3/4 pounds

Now, to find Mrs. Smith's current weight, we add the total weight gained to her weight last month:

Current weight = Weight last month + Total weight gained

Current weight = 120 pounds + 1 3/4 pounds

Hence, Mrs. Smith's current weight is 121.75 pounds.

14. To calculate the additional water the students should consume to meet the school nurse's recommendation of at least 4 pints daily, we need to find the difference between the recommended amount and the average amount the students currently drink.

The recommended amount is 4 pints, and the average amount the students currently drink is 1 1/2 pints, which can be written as 1.5 pints.

Additional water needed = Recommended amount - Current average amount

Additional water needed = 4 pints - 1.5 pints

Additional water needed = 2.5 pints

Therefore, the students should consume an additional 2.5 pints of water daily to meet the school nurse's recommendation.

15. To calculate the nurse's overtime earnings, you can use the formula:

Overtime Earnings = Overtime Hours × Overtime Pay Rate

First, let's convert the mixed number of overtime hours into an improper fraction:

2 1/4 hours = 2 + 1/4 = 9/4 hours

Now, we can calculate her overtime earnings:

Overtime Hours = 9/4 hours

Overtime Pay Rate = $32.00/hour

Overtime Earnings = (9/4) hours × $32.00/hour

To simplify the calculation, you can convert the fraction to a decimal:

Overtime Earnings = (9/4) hours × $32.00/hour

Overtime Earnings = 2.25 hours × $32.00/hour

Overtime Earnings = $72.00

So, the nurse's overtime earnings amount to $72.00.

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Sam has purchased collision insurance with a $100-deductible clause, and automobile medical payments insurance in the amount of $500. In an accident in which Sam is at fault, Sam incurs injuries for a total expense of $650. Also, $1,400 worth of damage is done to Sam's car. How much does the insurance company pay Sam? Benefit payment?

Answers

The amount that the insurance company will pay is $1800.

How to illustrate the information?

It should be noted that the insurance company will pay John for the expenses of his injuries and repair of the car.

For the injury, he will get:

= $500 + ($1400 - $100)

= $500 + $2300

= $1800

Therefore, the amount is $1800.

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Refer to your course materials to answer the following questions regarding " energy vampires ":
help (energyvampires)

a) How much electricity is used, on average, by a security system in 2 years?
Express your answer rounded to the nearest hundredth of a kilowatt-hour.
kW-hr

b) How much carbon dioxide is emitted into the atmosphere to produce this electricity?
Express your answer rounded to the nearest tenth of a pound of carbon dioxide.
lb of CO2

Answers

The electricity that is used, on average, by a security system in 2 years is 4.3Kw.

How to illustrate the information?

The average power consumption of the security system given is 2.7 watt.

(a) Electricity consumption in 2 years

in KW-h = (24*365*2.7)/1000 = 4.304 KWh

(b) As per US data CO2 emissions = 0.99 pound per kilowatt-h.

Hence here CO2 emissions = 4.3 × 0.99 = 4.2610 pounds / KW-h.

= 4.3 pound / KW-h.

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Which is the graph of the function f(x)= - squared x

Answers

Answer:

top left graph

Step-by-step explanation:

The function is not defined for negative x.

Eliminate top middle and top right

Also, the range should not include positive numbers.

Eliminate bottom left.

So, the answer is the top left graph.

Need an detailed step by step answer and solution again

Answers

Answer:

12u²

Step-by-step explanation:

area of a regular quadrilateral is always base x vertical height.

the base here is clearly 4 (just count the squares)

draw an imaginary line connecting the bottom right corner to the line before the top right corner (the line should be vertical)

count the squares here too and you get 3.

so the area = 3 x 4,

the area is 12u²

Question 15 of 15
Convert 1,056 yards into miles. Round your answer to the nearest tenth.
Hint. There are 1,760 yards in a mile.
A. 150 miles
O B. 1.6 miles
O C. 0.6 miles
SUBMIT

Answers

Answer:

0.6

Step-by-step explanation:

Given what we know, we can set up a proportion to convert 1,056 yards into miles

[tex]\frac{1760 yd}{1mi} =\frac{1056 yd}{x mi} \\\\1760x=1056\\\\x=0.6[/tex]

What do l do??? Need help

Answers

Answer:

you have to put the formula of perimeter

Answer:

12a. L+8m + 14m

12b. 10m+8m +14m

12c. 66

12d.420m

12e.252m

quick questions

volume= 288cm cubed

Write in standard form: x² - 10x + y² - 4y = -28

Answers

Answer:

(x - 5) ^2 + (y -2)^2 = 1

Step-by-step explanation:

This is for a circle.

We need to complete the square

(x^2 -10x      ) + ( y^2 -4y       )  = -28

(x^2 - 10x +25) + (y^2 - 4y 2y) = -28 + 25 + 4

(x-5)^2 + (y-2)^2 = 1

The center of this circle would be (5,2)  with a radius of 1.

Asap I need a answer please

Answers

Answer:

-4

Step-by-step explanation:

in order to get from -6 to 24, you need to multiply x by -4 since -6* -4 is 24

Suppose f(x)=2^x. What is of g(x)=f(3x)?

Answers

Answer:

All you need to do is suppose x = 3x :

[tex] \tt \: g(x) = \boxed{ \tt{2^{3x} }} [/tex]

------ Happy LearninG <3 ----

what is the answer to 20÷ 1683 pls​

Answers

The answer is in the picture below

please help I've been trying to figure it out but I can't​

Answers

answer : 2 1/2

divide y by x

divide  2 1/2 by 1

its 2 1/2

10 divided by 4 is also

2 1/2

17 1/2 divided by 7 is also

2 1/2

Find the inverse function of

f(x)=20x-4

Domain of f(x)

Domain of f^-1(x)

Range of f(x)

Range of f^-1(x)

help can you show work for question please

Answers

Answer:

[tex]f(x) = 20x - 4 \\ substitute \: y \: for \: f(x) \\ y = 20x - 4 \\ interchange \: x \: and \: y \\ x = 20y - 4 \\ swap \: the \: sides \: of \: the \: equation \\ 20y - 4 = x \\ move \: the \: constant \: to \: the \: right \: hand \\ 20y = x + 4 \\ divide \: both \: sides \: by \: 20 \\ y = \frac{1}{20} x + \frac{1}{5} \\ substitute \: f {}^{ - 1} (x) \: for \: y \\ f {}^{ - 1} (x) = \frac{1}{20} x + \frac{1}{5} [/tex]

The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.

Thus, domain of f(x): x∈R = range of f¯¹(x)

and range of f(x): x∈R =domain of f¯¹(x)

The average weight of the passengers of an airline has increased from 150 pounds in 2000 to 170 pounds in 2010. If an airline used to transport 270 passengers in a plane in 2000, and the total passenger weight is fixed, approximately how many passengers can travel with the same plane in 2010?

Answers

There are 238 passengers in the plane in 2010

How to determine the number of passengers?

The given parameters are:

Weight = 150 pounds and Passenger = 270 --- Year 2000

Weight = 170 pounds --- Year 2010

Represent the parameters using the following inverse proportion

Weight * Passenger= Fixed

So, we have:

150 * 270 = 170 * Passenger

Divide both sides by 170

150 * 270/170 = Passenger

Evaluate

238 = Passenger

Rewrite as

Passenger = 238

Hence, there are 238 passengers in the plane in 2010

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Use two formulas for volume to find the volume of the figure. Express the volume in terms of 3.14 and than round to the nearest whole number. Note that the figure may not be drawn to scale

Answers

The volume of the figure to the nearest whole number = 756π m³.

How to estimate the volume of the given figure?

The figure shown exists composed of a cone and a cylinder.

The volume of the figure = volume of cone + volume of the cylinder

Height of cone = 12 - 8 = 4

Radius (r) of cone = 18/2 = 9 m

The volume of the cone V = 1/3hπr²

= 1/3 [tex]*[/tex] 4π [tex]*[/tex] 9² = 108π

The volume of the Cylinder = πr²h

radius (r) = 18/2 = 9 m

height (h) = 8 m

Volume of cylinder = π [tex]*[/tex] 9² [tex]*[/tex] 8 = 648π m³

Volume of the figure = 108π + 648π = 756π

The volume of the figure to the nearest whole number = 756π m³.

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A restaurant hands out a scratch-off game ticket with prizes being worth
purchases at the restaurant. The back of the ticket lists the odds of winning
each dollar value: 0.4 for $5, 0.3 for $25, 0.2 for $50, and 0.004 for $75. What
are the odds that the ticket is worth at least $25?

Answers

Answer:

0.7

Step-by-step explanation:

Because 0.4 is $5 and 0.3 is $25. So 0.3+0.4=0.7

10-A biased die is thrown thirty times and the number of sixes seen is eight. ( The probability of face six is 8 = 4 ) If the die is thrown a further twelve times find:
30 15
(a) the probability that a six will occur exactly twice; (b) the expected number of sixes: () = ;
(c) the variance of the number of sixes.

Answers

Using the binomial distribution, we have that:

a) There is a 0.2111 = 21.11% probability that a six will occur exactly twice.

b) The expected number of sixes is of 3.2.

c) The variance of the number of sixes is of 2.35.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

For this problem, the parameters are given by:

p = 8/30 = 0.2667, n = 12.

Item a:

The probability is P(X = 2), hence;

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{12,2}.(0.2667)^{2}.(1-0.2667)^{10} = 0.2111[/tex]

Item b:

The expected number of the binomial distribution is:

E(X) = np.

Hence:

E(X) = 12 x 8/30 = 3.2.

Item c:

The variance of the binomial distribution is:

V(X) = np(1-p).

Hence:

E(X) = 12 x 8/30 x 22/30 = 2.35.

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In the figure above, if l is a line, a+b=120 and b+c=100, then what is the value of b?

Answers

Based on the angles of a + b and b + c, the value of b can be calculated to be 40°.

How many degrees is B?

As this is a triangle, all the internal angles must add up to 180°.

This means that:

a + b + c = 180°

As we have the value of b + c, this becomes:

a + 100 = 180

a = 80°

b is therefore:

a + b = 120

80 + b = 120

b = 120 - 80

= 40 °

Full question is:

If in triangle abc, angle a + angle b= 120° and angle b + angle c = 100°, then find angle b.

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find x and y

pls help

Answers

Answer:

Step-by-step explanation:

no idea tbh

x is 40 degrees

y is 40 degrees

Hope this helps!

A two-digit locker combination is made up of non-zero digits and no digit is repeated in any combination. Event A = the first digit is 4 Event B = the second digit is odd If a combination is chosen at random with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form?
A.5/8
B.4/81
C.1/18
D.5/72

Answers

Answer:

D. 5/72

Step-by-step explanation:

The non-zero digits are 1 through 9.

There are 9 different non-zero digits.

p(A) = 1/9

There are 5 odd digits.

p(B) = 5/8

p(A and B) = p(A) × p(B) = 1/9 × 5/8 = 5/72

I think the answer is

A: 1/18

pls helpppp a gurllll outtttt : )))))))))

Answers

Answer:

2

Step-by-step explanation:

[tex]\frac{3[2(-2)-6] + (-2)^{2} +4[2(-2)+1]}{3[(-2)-5]+2}[/tex]

[tex]\frac{3(-10) - 4 + 4(-3)}{-16}[/tex]

[tex]\frac{-30-4-12}{-16}[/tex]

[tex]\frac{-46}{-16}[/tex]

okay you know what i dont know what im doing but i know the answer is for sure 2..

i dont know answer please im in summer school

Answers

The centre and the radius of the circle is (-7, -1) and 6 units

Equation of a circle

The equation of the circle in standard from is expressed as:

x^2+y^2+2gx+2fy+C = 0

where;

(-g, -f) is the centre

r= √g²+f²-C

Given the equation below

x^2+y^2+14x+2y+14 = 0

2g = 14

g = 7

2f = 2

f =1

Hence the centre of the circle is (-7, -1)

Radius = √49+1-14

Radius = √36 = 6 units

Hence the centre and the radius of the circle is (-7, -1) and 6 units

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Find the equation for a parabola with its focus at (0, 3) and a directrix of y = -3.

x = 1/12y^2
y = 1/9x^2
y = 1/12x^2
y = -1/12x^22

Answers

The equation of the parabola is [tex]y=\frac{1}{24} x^2+3[/tex]

None of the given options is correct

Given:

Focus: (0, 3)

Directrix: y = -3

Note that:

f - k = k - (-3)

f - 3 = 3 + 3

f = 6 + 3

f = 9

The equation of the parabola is of the form:

[tex]y=\frac{1}{4(f-k)} (x-h)^2+k[/tex]

Substitute f = 9, k = 3, h = 0 into the equation

[tex]y=\frac{1}{24} (x-0)^2+3\\\\y=\frac{1}{24}x^2+3[/tex]

The equation of the parabola is [tex]y=\frac{1}{24} x^2+3[/tex]

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Solve equation 1102 Base 3= 212 Base n​

Answers

Answer: 4

Step-by-step explanation:

[tex]1102_{3}=2+0(3)+1(9)+1(27)=38\\\\212_{n}=2+1(n)+2(n^2)=2n^2 + n+2\\\\\implies 2n^2 + n+2=38\\\\2n^2 + n-36=0\\\\(n-4)(2n+9)=0\\\\n=-\frac{9}{2}, 4[/tex]

However, as the base must be positive, n=4.

The city has an average of 13 days of rainfall for April.

What is the probability of having exactly 10 days of precipitation in the month of April?
What is the probability of having less than three days of precipitation in the month of April?
What is the probability of having more than 15 days of precipitation in the month of April?

Answers

Using the Poisson distribution, we have that:

There is a 0.0859 = 8.59% probability of having exactly 10 days of precipitation in the month of April.There is a 0.00022 = 0.022% probability of having less than three days of precipitation in the month of April.There is a 0.2364 = 23.64% probability of having more than 15 days of precipitation in the month of April.

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.

For this problem, the mean is given as follows:

[tex]\mu = 13[/tex]

The probability of having exactly 10 days of precipitation in the month of April is P(X = 10), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 10) = \frac{e^{-13}13^{10}}{(10)!} = 0.0859[/tex]

There is a 0.0859 = 8.59% probability of having exactly 10 days of precipitation in the month of April.

The probability of having less than three days of precipitation in the month of April is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-13}13^{0}}{(0)!} \ approx 0[/tex]

[tex]P(X = 1) = \frac{e^{-13}13^{1}}{(1)!} = 0.00003[/tex]

[tex]P(X = 2) = \frac{e^{-13}13^{2}}{(2)!} = 0.00019[/tex]

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.00003 + 0.00019 = 0.00022

There is a 0.00022 = 0.022% probability of having less than three days of precipitation in the month of April.

For more than 15 days, the probability is:

P(X > 15) = P(X = 16) + P(X = 17) + ... + P(X = 20)

Applying the formula for each of these values and adding them, we have that P(X > 15) = 0.2364, hence:

There is a 0.2364 = 23.64% probability of having more than 15 days of precipitation in the month of April.

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Accounts Receivable has a balance of $645,000; Allowance for Doubtful Accounts has a credit balance of $6,000; and sales for the year total $2,900,000. Bad debt expense is estimated at 1/4 of 1% of sales.

Answers

1. The amount of the adjusting entry for Uncollectible Accounts is $1,250.

2. The adjusted balances of Accounts Receivable Allowance for Doubtful Accounts Bad Debt Expense are:

Accounts Receivable = $3,545,000

Allowance for Doubtful = $7,250

Accounts Bad Debt Expense = $1,250

3. The net realizable value of the accounts receivable is $3,537.750 ($3,545,000 - $7,250).

Data and Calculations:

                               Accounts Receivable    Allowance for Doubtful Accounts

Beginning balance     $645,000 DR               $6,000 CR

Sales                          2,900,000

Bad Debt Estimate = $7,250 ($2,900,000 x 0.0025)

Ending balance      $3,545,000                     $7,250 CR

Bad Debts Expense = $1,250 ($7,250 - $6,000)

Thus, the net realizable value of the accounts receivable shows the amount that the company expects to recover from customers after allowing for doubtful accounts.

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Question Completion:

1. Determine the amount of the adjusting entry for uncollectible accounts.

2. Determine the adjusted balances of Accounts Receivable, Allowance for Doubtful Accounts, and Bad Debt Expenses.

3. Determine the net realizable value of accounts receivable

If x=y= 2z and x*y*z = 500, then x equals?​

Answers

Answer:

x is equal to 5

Step-by-step explanation:

When y=x and z=1/2x

xyz= 500
x(x)(1/2x)= 500
1/2x^3=500
x^3= 1000
x= 10

How to check your answer?

xyz= 500
(10)(10)(10/2)= 500
500= 500

Both LHS and RHS is equal therefore this answer is correct. x=10.

Hope it helps : )

(06.03 HC)
Solve the following system of equations. Show all work and solutions.
y = 3x2 + 6x + 4
y = -3x2 + 4

Answers

Answer: [tex](x,y)=\{(-1,1), (0,4) \}[/tex]

Step-by-step explanation:

[tex]3x^2 +6x+4=-3x^2 +4\\\\6x^2 +6x=0\\\\x^2 +x=0\\\\x(x+1)=0\\\\x=-1, 0\\\\x=-1 \longrightarrow y=1\\\\x=0 \longrightarrow y=4\\\\\therefore (x,y)=\{(-1,1), (0,4) \}[/tex]

The solution of the quadratic equations will be ( 0, 4 ) and ( -1, 1).

What is a quadratic equation?

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given quadratic equations are given as below:-

y = 3x² + 6x + 4

y = -3x² + 4

Equate the equations and solve for the value of x.

3x² + 6x + 4 = -3x² + 4

6x² + 6x = 0

x² + x = 0

x ( x + 1 ) = 0

x = 0 and x = -1

At x=0 and x=-1 the values of y are calculated as below:-

y = -3x² + 4

y = 0+ 4 = 4

y = -3 + 4 = 1

Therefore, the solution of the quadratic equations will be ( 0, 4 ) and ( -1, 1).

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Tim earned 124 dollars washing 6 cars he earned the same amount for each car what is a type of intervention in which the goal is to reduce the extent of drug use in individuals who have already had some exposure to drugs? Instrumental music that does not have a program is called absolute music. ... By the Romantic era, music had moved from the palace to the public concert hall. will change the value of ksp for mercury(!) sulfate (hg2s04)? If you want to create a method that other methods in other classes can access without limitations, you declare the method to be__. a. unlimited b. public c. shared d. unrestricted FIll in the blank: after hurricane katrina in 2005, a senate investigation reported a failure of government at all levels to plan, prepare for ____ and ____. Rey Company's single product sells at a price of $235 per unit. Data for its single product for its first year of operations follow. 39 per unit 47 per unit Direct materials Direct labor Overhead costs Variable overhead Fixed overhead per year Selling and administrative expenses Variable Fixed Units produced and sold 5 per unit $ 168,000 per year 37 per unit $ 238,000 per year 24,000 units 1. Prepare an income statement for the year using absorption costing 2. Prepare an income statement for the year using variable costing. Complete this question by entering your answers in the tabs below. Required 1 Required 2 Prepare an income statement for the year using absorption costing. REY COMPANY Absorption Costing an exaggerated attack on a harmless antigen by an overly sensitive immune system is termed a(n) what does the research say about how we can improve the transition for those who have been incarcerated reread ""pied beauty."" what is gerard manley hopkins praising? why is he praising it? For a sample of 41 New England cities, a sociologist studies the crime rate in each city (crimes per 100,000 residents) as a function of its poverty rate (in %) and its median income (in $1,000s). He finds that SSE = 4,182,663 and SST = 7,732,451. a. Calculate the standard error of the estimate. true/false. complexities often reduce span of supervision in a process layout 43. keynesian economists stress the importance of aggregate ________ and generally believe that the economy ________ to reach full-employment equilibrium on its own. design a logic circuit to determine if a binary number between 0 and 15 is a prime number (only divisible by 1 and itself) Lab 08: Reflection and Refraction of Light You will need to run a simulation to do the lab. Answer the following questions as you work through the lab. Write your answers in blue. (Note that we may miss your response if it does not stand out ) Re-load the file in word or PDF format in Canvas before the due date. Overview Light bends when it enters from one medium to another. This bending of light is called Refraction of light. The relationship between the angle of incidence (medium 1) and the angle of refraction (in the medium 2) is given by Snells Law: n_1 sin_1=n_2 sin_2 Eq. 8.1 Where n_1 is the index of refraction, _1 angle of incidence in medium 1; n_2 is the index of refraction, _2 is the angle of refraction in medium 2. The angles, are measured with respect to the normal to the surface between the two mediums. When light travels from an optically light medium to an optically dense medium, i.e. n_1 n2, the refracted light bends away from the normal. For a certain angle of incidence (called the critical angle, _c) the refracted ray will be 90 from the normal. If the angle of incidence is any larger, the ray is totally reflected in medium 1 and no light comes out of medium 2. This is called Total Internal Reflection. For this part of the lab, you will find the critical angle for different sets of boundaries. Select "More Tools" tab . Check the "normal" and "angle" box to view and measure the angles. 1. Set the Medium 1 = Glass (n1 = 1.5); Medium 2 = Air (n2 = 1.0). 2. Start with _1=0. Gradually increase _1 until the refracted ray, _2=90. This incident angle is the critical angle, _c . If you keep on increasing _1, there will only be reflected light. In this way, you can figure out the critical angle for different mediums at the boundaries listed in the table below. Table 8.5: Critical angle of different sets of boundaries Medium 1 (n1) Medium 2 (n2) Critical Angle (c) Water Air Glass Air Glass Water Mystery Medium A Air Mystery Medium A Glass 3. Conclusion Question: (i) Based on your observation in the table, what is the condition for total internal reflection? (ii) Is there a total internal reflection if both mediums have same index of refraction (e.g. n_1=n_2 )? Explain your answer. managers will have more power in the negotiation process if they appear less confident than the other party.T/F a disc rotates at 60 rpm (revolutions per minute). what is the angular speed (in rad/s)? roberta is timid and does not like to go to parties or other social events. she says she has always felt this way even when she doesn't think she needs to perform in front of people or receive their attention at all. what is most likely to be her diagnosis? what do we call basic rules of the food service space that create clear guidelines relating to sanitation, safety, staff scheduling, codes of conduct, and professional expectations for the team? 9th grade maths solution