describe the end behavior f(x)=5x^4+3x^2-1.

Describe The End Behavior F(x)=5x^4+3x^2-1.

Answers

Answer 1
The correct answer is option B

Related Questions

please help with this question, I am quite confused

Answers

Answer:

Step-by-step explanation:

A-domain (-∞,∞)

B- Range(0,∞)  the range is the set of values tat correspond with the domain

C- the y intercept (0,1) , y intercept is when x =0 (2/3)^0=1

D-the horizontal asymptote is x-axis y=0

E- the graph is always decreasing

F-it depend on the base

If f(x)= x/2 -2 and g(x) = 2x² + x - 3, find (f + g)(x).
O A. x²-6
O B. 2x²+ 3/2x +1
O C. 2x² - x/2 +1
O D. 2x² + 3/2 x-5

Answers

Answer:

Step-by-step explanation:

Its d

Please answer now correct answer fast

Answers

Answer:

[tex] Area = 112.1 m^2 [/tex]

Step-by-step Explanation:

Given:

∆WXY

m < X = 130°

WY = x = 31 mm

m < Y = 26°

Required:

Area of ∆WXY

Solution:

Find the length of XY using Law of Sines

[tex] \frac{w}{sin(W)} = \frac{x}{sin(X)} [/tex]

X = 130°

x = WY = 31 mm

W = 180 - (130 + 26) = 24°

w = XY = ?

[tex] \frac{w}{sin(24)} = \frac{31}{sin(130)} [/tex]

Multiply both sides by sin(24) to solve for x

[tex] \frac{w}{sin(24)}*sin(24) = \frac{31}{sin(130)}*sin(24) [/tex]

[tex] w = \frac{31*sin(24)}{sin(130)} [/tex]

[tex] w = 16.5 mm [/tex] (approximated)

[tex] XY = w = 16.5 mm [/tex]

Find the area of ∆WXY

[tex] area = \frac{1}{2}*w*x*sin(Y) [/tex]

[tex] = \frac{1}{2}*16.5*31*sin(26) [/tex]

[tex] = \frac{16.5*31*sin(26)}{2} [/tex]

[tex] Area = 112.1 m^2 [/tex] (to nearest tenth).

Write 985 in the standard form and find its
Product of divisors
,Sum of divisors.​

Answers

Answer:

Step-by-step explanation:

985 = 5 * 197 = 1 * 5 * 197

The product of the divisors is 985

The sum is 203

PLEASE HELP NOW WILL MARK BRAINLEST FOR CORRECT ANSWER A Brazilian town near the Amazon River has experienced 7% annual decrease in size of rainforest as trees are cut down and forest is converted to farmland. In the year 2009, there were about 28,000 acres of rainforest in town. a. Write an exponential model that relates the number of acres of rainforest y as a function of t years since 2009. b. How many acres of rainforest remained in 2013 (that is, in year 4)? Show work.

Answers

Answer:

a. y = 28,000×(1 - 0.07)^t

b. 20,945.46 acres

Step-by-step explanation:

a. The annual percentage decrease in in size of rainforest = 7%

The size of the rainforest in 2009 = 28,000 acres

The exponential decay formula is y = C×(1 - r)^t

Where:

y = Final Amount

C = Initial amount = 28,000 acres

r = Rate of Change = 0.07

t = Time

Which gives;

y = 28,000×(1 - 0.07)^t

b. In 2013 (year 4, t = 4), the amount of rainforest remaining is therefore;

y = 28,000×(1 - 0.07)^(4) = 28,000×0.93^4 = 20,945.46 acres

The size of the rainforest that remained in 2013 is 20,945.46 acres.

Answer:

20(-3)

Step-by-step explanation:

Examine the graph and the map.

On the left, a bar graph titled Deforestation Trend in the Amazon Rainforest. The x-axis is labeled Acres in kilometers squared of Rainforest Lost. The y-axis is labeled Year from 2004 to 2016. 2004 lost 27,772 acres. 2005 lost 19,014 acres. 2010 lost 7,000 acres. 2012 lost 4.571 acres. 2016 lost 7,989 acres. On the right, a map titled Deforestation of the Amazon Rainforest by 2016. The Amazon River is labeled. A key notes deforestation by 2016, amazon forest in 2016, and non-forest vegetation. Labeled clockwise are Roraima, Amapá, Maranhäo, Pará, Tocantins, Mato Grosso, Rondônia, Acre, and Amazonas. Acre, Amazonas, Roraima, Amapá, Maranhäo, Mato Grosso and Rondônia are deforested by 2016. Pará, Maranhäo, Tocantins, Mato Grosso, and Rondônia have the Amazon forest in 2016. Mato Grosso, Tocantins and Maranhäo have majority of non-forest vegetation.

Which is the best conclusion about the Amazon rainforest that can be drawn from these sources?

Deforestation in the Amazon has accelerated since 2004.

Deforestation in the Amazon is no longer an important issue.

Despite population growth, the Amazon rainforest is increasing in size.

Despite positive trends, the Amazon rainforest remains in danger of destruction.

Solve the following question
The difference of two numbers is 12 and their sum is 20 find the numbers

Answers

Answer:

16 and 4

Step-by-step explanation:

Let (x+y) =20 and (x-y)=12 then:

Isolate for x in each equation

   x=20-y and x=12+y

Set the equations to equal each other since the value of x should be the same for both

   20-y = 12+y

Rearrange so that y is on one side and the numbers are on the other

   8 = 2y

   y= 8/2

   y= 4

Now  substitute the y- value back into either of the original equations

   x+y= 20

   x+4 = 20

Rearrange and isolate  x

   x = 20-4

   x = 16

So the two values are 16 and 4

Marked price of a pen is Rs 20. It is sold at a discount of 15%. Find the selling price?

Answers

Answer:

Rs 17

Step-by-step explanation:

Solution,

Marked price ( MP ) = Rs 20

Discount % = 15%

Selling price ( SP ) = ?

let's find the discount amount:

Discount amount = Discount % of MP

plug the values

= 15% of 20

Calculate

= Rs 3

Discount amount = Rs 3

Now, let's find the SP

Selling price ( SP ) = MP - discount amount

plug the values

= Rs 20 - Rs 3

Calculate the difference

= Rs 17

Hope this helps..

Best regards!!

in a certain town there are 30000 registered voters, of whom 12000 are Democrats. A survey organization is about to take a simple random sample of 1000 registered voters. a) the expected value for the percentage of Democrats in the sample is

Answers

Answer:

400.

Step-by-step explanation:

The following data were obtained from the question:

Total number of Registered voters = 30000

Total number of Democrats = 12000

Next, we shall determine the percentage of Democrats in the registered voters.

This can be obtained as follow:

Percentage of Democrats = number of Democrats / Total number of registered voters x 100

Percentage of Democrats = 12000/30000 x 100

Percentage of Democrats = 40%

Now, we can obtain the expected value of percentage of Democrats in the 1000 sample as follow:

Percentage of Democrats = 40%

Total number of Sample = 1000

Number of Democrats in the sampl=..?

Percentage of Democrats = number of Democrats in sample / Total number of sample x 100

40% = number of Democrats in sample/1000

Cross multiply

Number of Democrats in sample

= 40% x 1000

= 40/100 x 1000

= 400

Therefore, the expected number of Democrats in the sample is 400.

Please help me with this question!! TRIGONOMETRY

Answers

Answer: B) 17.4

Work Shown:

sin(angle) = opposite/hypotenuse

sin(35) = 10/x

x*sin(35) = 10

x = 10/sin(35)

x = 17.434467956211 make sure your calculator is in degree mode

x = 17.4

Answer:

[tex]\boxed{17.4}[/tex]

Step-by-step explanation:

sin [tex]\theta[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

sin (35) = [tex]\frac{10}{x}[/tex]

x = [tex]\frac{10}{sin(35)}[/tex]

x = 17.4344679562...

x ≈ 17.4

Um empresário possui um espaço retangular de 100 m por 750 m para corrida. Determine quantos metros percorreu um atleta que deu apenas 6 voltas pelas extremidades do espaço: * (A) 300 (B) 1700 (C) 10200 (D) 75000 (E) 7500

Answers

Answer:

(C) 10200m

Step-by-step explanation:

Dizem-nos na pergunta que um homem de negócios tem um espaço retangular de 100 m por 750 m para correr.

O primeiro passo é calcular o perímetro do retângulo.

Perímetro de um rectângulo = 2 (Comprimento × Largura)

Da pergunta,

Comprimento = 100m

Largura = 750m

Perímetro do rectângulo = 2 ( 100 + 750)

= 2(850)

= 1700m

Perímetro do rectângulo = 1700m

Somos questionados na pergunta para determinar quantos metros (Distância) um atleta viajou que tem apenas 6 voltas ao redor das extremidades do espaço.

A distância total percorrida pelo atleta ao correr é calculada como:

6 × perímetro do rectângulo.

= 6 × 1700

= 10200m

Quantos metros percorreu um atleta que deu apenas 6 voltas pelas extremidades do espaço = 10200

HELP I WILL GIVE 50 POINTS AND BRAINLIEST TO WHOEVER ANSWERS FIRST Graph ​y>1−3x.

Answers

Answer:

The last graph

Step-by-step explanation:

This is because when there is a greater than sign, the line on the graph is dotted and the shaded area is facing upwards. I try to remember that when there is a greater than sign or a greater than or equal to sign, the shaded area faces up towards the sky.

Hope this helps. Please inform me if my answer is wrong.

Answer:

The last graph is correct

Step-by-step explanation:

Hello,

First of all, you need to identify the line y = -3x + 1

This is a line so two points are enough to identify it.

-3*0+1 = 1 so (0,1) is a point of this line and

-3*1 + 1 = -2 so (1,-2) is another point of this line.

I attached a graph of this line.

Now, the inequality is y > 1-3x

It means that we are looking for the part of the plan which is (strictly) above this line.

This is not ( [tex]\geq[/tex] ) inequality but a strict equality (  > ) so the points of the line are not included, so the last graph is the correct one.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

27 - (2 + 3) - 10 ÷ 2

Answers

Answer:

27_5_10/2

27_5_5

22_5

17

you simplify and you get 27-5-10/2
and then you divide 10 and 2
27-5-5 then you subtract and get 17

Which statements must be true about the reflection of
AXYZ across MN? Select three options.

A. m< X’ Z’ Y’= 90°
B. m< MCY= 90°
C. XX = YY
D. BZ = BZ
E. XY || X’ Y’

Answers

Answer:

abd

Step-by-step explanation:

The true statements about the reflection shown in picture attached are :

M∠X'Z'Y' = 90°

M∠X'Z'Y' = 90°m∠MCY = 90°

M∠X'Z'Y' = 90°m∠MCY = 90°BZ' ≅ BZ

What is reflection?

Reflection is a type of transformation that flips a shape in a mirror line (also called a line of reflection) so that each point is the same distance from the mirror line as its reflected point.

here, we have,

When reflection of a preimage occurs, the image produced is congruent to the preimage because reflection produces isometric images. This means that both the preimage and image are similar in shape and size.

Since m∠XZY = 90°, will be congruent with the angle m∠X'Z'Y' ; Hence, m∠X'Z'Y' = 90°

The segment MN and YY' are perpendicular, hence forming a right angle. m∠MCY = 90°

B is the midpoint between ZZ'. Hence, the distance between BZ' and BZ will be the same. BZ' ≅ BZ

From the image produced, XY and X'Y are not parallel

Learn more on reflection :

brainly.com/question/17128025

#SPJ7

Complete question:

Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options. M∠X'Z'Y' = 90° m∠MCY = 90° XX' ≅ YY' BZ' ≅ BZ XY || X'Y

Anyone knows this ans? I will mark them BRAINLIEST... The one who ans first and gives complete ans...thanks for helping!

Answers

Answer: a.5r-7=2r+8

We move all terms to the left:

5r-7-(2r+8)=0

We get rid of parentheses

5r-2r-8-7=0

We add all the numbers together, and all the variables

3r-15=0

We move all terms containing r to the left, all other terms to the right

3r=15

r=15/3

r=5

a) r = 5

b) t = 5/3

c) a = 1

d) x = 0

How to solve an eqution:

Equation solving is So easy you just need to follow the instructions.

i) First arrange the no. in one side and variable in one side.

ii) The sign will change if we change the no. or variable between equal =. Like + change into - and × change into ÷ .

iii) Use the BODMAS and just go ahead.

Solution:

Just Click on _______

$i^5+i^{-25}+i^{45}$[tex]$i^5+i^{-25}+i^{45}$[/tex]

Answers

[tex]i^5+i^{-25}+i^{45}[/tex]

Rewrite the term [tex]i^{-25}[/tex]

[tex]=i^5+\dfrac{1}{i^{25}}+i^{45}[/tex]

Expand each term so we have

[tex]=i(i^2)^2+\dfrac{1}{i(i^2)^{12}}+i(i^2)^{22}[/tex]

Use the fact that [tex]i^2=-1[/tex]

[tex]=i(-1)^2+\dfrac{1}{i(-1)^{12}}+i(-1)^{22}[/tex]

Use the fact that [tex](-1)^{a}=1[/tex] when a is an even number

[tex]=i+\dfrac{1}{i}+i[/tex]

Simplify

[tex]=i-i+i[/tex]

[tex]=i[/tex]

Let me know if you need any clarifications, thanks!

Answer:

1/i +2i

Step-by-step explanation:

i^5+i^-25+i^45    i^2=-1

i^4*i +i^-24*i^-1 +i^44 *i

(i²)² i+ (i²)^-12*i^-1+(i²)^22 *i     since i²=1

i+i^-1+i=

i+1/i +i=1/i +2i

I NEED HELP PRONTO PLZZZ HELP ME

Answers

Answer:

12 ÷ 4

Step-by-step explanation:

Let's try to solve the given expression to see if it matches with any of the options guven..

[tex] \frac{1}{4}*12 [/tex]

[tex] = \frac{1*12}{4} [/tex]

[tex] = \frac{12}{4} [/tex] (this is equivalent to 12 ÷ 4, which is given in the question)

Thus,

12 ÷ 4 equivalent to [tex] \frac{1}{4}*12 [/tex]

Please answer the question in the image below ASAP

Answers

Option A would run parallel because they have the same slope.
I would say option a because they slope is running above the x axis

p(a)= .5, p(b)= .4, and p(a and b)= .15. what is p(a OR b)

Answers

Answer:

Step-by-step explanation:

Hello

p(A∪B) = p(A) + p(B) - p(A∩B) = 0.5 + 0.4 - 0.15 = 0.9 - 0.15 = 0.75

hope this helps

A circle has a radius of 21 inches. What is the length of the arc intercepted by a central angle that measures 4π/7 radians? Express the answer in terms of π .

Answers

Answer:

12π inches

Step-by-step explanation:

s = rθ

s = (21) (4π/7)

s = 12π

The length of the arc will be;

⇒ Arc = 37.68 inches

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The central angle = 4π/7

And, A circle has a radius of 21 inches.

Now,

We know that in circle;

Arc = Radius × Angle

Substitute all the values, we get;

⇒ Arc = 21 × 4π/7

⇒ Arc = 3 × 4 × 3.14

⇒ Arc = 37.68 inches

Thus, The length of the arc will be;

⇒ Arc = 37.68 inches

Learn more about the circle visit:

https://brainly.com/question/1294687

#SPJ2

The value of a plot of land is S18 000.00.
Land tax is charged at the rate of S0.70 per
$100.00 value. What is the TOTAL amount
of tax paid for the land?​

Answers

Answer:

$126

Step-by-step explanation:

The plot of land is worth $18,000 and the tax on the land is $0.70 per $100. You would divide 18000 by 100 which is 180. Then you would multiply 180*0.70 which is $126.

Step-by-step explanation:

Here, given that;

The total value of land us $18000.00

tax per $100.00 is $0.70

now,

$100.00 taxes $0.70

$18000.00 taxes ($18000.00÷100)/$0.70 (as in question given that the tax is charged in each $100)

= $126.

is the required tax amount.

Hope it helps..

PLEASE HELP!
Line R is represented by the following equation: x + y = 2

Which equation completes the system that is satisfied by the solution (1, 1)?

2x + y = 2
4x − 2y = 2
2x − 2y = 2
x + y = 4

Answers

2x - 2y = 2

2x - 2 x 0 = 2

2x - 0 = 2

2x = 2

x = 1

2x - 2y = 2

2 x 0 - 2y = 2

y = - 1

Answer:

4x - 2y = 2

Step-by-step explanation:

Given that (1, 1 ) is a solution then it must satisfy the equation

Consider the equations given

2x + y = 2 → 2(1) + 1 = 2 + 1 = 3 ≠ 2 ← not True

4x - 2y = 2 → 4(1) - 2(1) = 4 - 2 = 2 ← True

2x - 2y = 2 → 2(1) - 2(1) = 2 - 2 = 0 ≠ 2 ← not True

x + y = 4 → 1 + 1 = 2 ≠ 4 ← not True

Thus

4x - 2y = 2 completes the system.

What is the shape name
please do fast.​

Answers

Answer:

[tex]\boxed{\sf Parallelogram}[/tex]

Step-by-step explanation:

A parallelogram has opposite parallel sides and it is a quadrilateral.

Answer:

This is a parallelogram

Step-by-step explanation:

This is also a quadrilateral.

Hope this helps.

Find the volume of the cuboid which length is 10cm, breadth is 8cm and height is 7cm. Who answers first gets brainliest answer

Answers

Answer:

560cm

Step-by-step explanation:

Volume = Length × Breadth × Height

= 10 × 8 × 7

= 560 cm³

Answer:

Step-by-step explanation:

Volume =length x breadth x height

10 x 8 x 7=560cm^3

Evaluate the following: 3 to the power 2 ÷ (2 + 1). 2 3 4 5

Answers

Answer:

3

Step-by-step explanation:

plz help me x+y=7
x=3-y​

Answers

Answer:

no solution

Step-by-step explanation:

x+y=7

x=3-y​

Substitute the second equation into the first

(3-y) +y = 7

Combine like terms

3 = 7

This is never true so there is no solution

Answer:

[tex]\boxed{\mathrm{No \: solution}}[/tex]

Step-by-step explanation:

x + y = 7

Plug x = 3 - y

3 - y + y = 7

Combine like terms.

3 = 7

No solution.

asap help !!

How much additional interest is earned if $8000 is invested for 7 years at 6.5% when
interest is compounded annually, as compared with simple interest paid at the same
rate?

Answers

Answer:

put it in a calculator, 8,000 times whatever number u need

What is the angle of rotation from figure A to figure A? Assume that the center of rotation is the origin.
A. 360° clockwise
B. 270° clockwise
C. 180° clockwise
D. 90° clockwise

Answers

Answer:

the answer is C. 180°clockwise


a) A and B are the subsets of a universal set U in which there are n (U) = 54,
n (A) = 32, n (B) = 22 and n (
AB) = 9.
(i) Draw a Venn-diagram to illustrate the above information.
(ii) Find the value of n (AUB).​

Answers

Yes the value of n is 20

Step-by-step explanation:

I DON'T KNOW WHICH ANSWER IS CORRECT .

BUT MY ANSWER CAME THIS .

I HOPE IT WILL HELP YOU.

HAVE A NICE DAY.....

ruth and terry planted tulip and crocus bulbs for 6 h. ruth planted 5 crocus bulbs in the time it took terry to plant 3 bulbs. how long would it take terry alone to complete the job

Answers

Answer:

  16 hours

Step-by-step explanation:

In the time it took Ruth to plant 5 bulbs, Terry planted 3 bulbs. So, Terry did 3/8 of the work of planting 8 bulbs in that time.

We expect that Terry alone would take 8/3 of the time that it took when working together with Ruth.

  (8/3)×(6 hours) = 16 hours . . . . . . for Terry to do the job alone

The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scale.) Which of the following options is closest to the distance (in miles) between points A and B?
6.71 miles
7.35 miles
8.66 miles
10.82 miles

Answers

Answer:

3rad5

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {a }^{2} + {6}^{2} = {9}^{2} \\ {a }^{2} + 36 = 81 \\ {a}^{2} + 81 - 36 \\ {a}^{2} = 45 \\ \sqrt{a} = \sqrt{45} \\ a = 3 \sqrt{5} [/tex]

Answer:

It's A.) 6.71 miles

Step-by-step explanation:

I just took the quiz. May I have Brainiest???

Other Questions
Getting a DUI may result in:Legal consequencesLoss of financial aidExpulsionBoth A and CAll of the above What does it mean to say that a data point has a residual of -1?A. The point lies 1 unit above the regression line.B. The point lies directly on the regression line.C. The point lies 1 unit below the regression line.O D. The predicted value for that point is -1. ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions. SB-24 Which of the following is recommended when docking your boat? PLEASE help me with this question! No nonsense answers please, and full solutions! Compute the present value of a $2,000 deposit in year 1, and another $1,500 deposit at the end of year 3 if interest rates are 10 percent. How to Change the following sentence from passive to active. 1. The traffic sign was suddenly blown over by the strong wind.2. Three trays of fresh bread were dropped by the bakers assistant.3. All of the gas stations in town were held up by the same gang of aging criminals.4. That song was written by my friend in the army.5. Costumes for the play were purchased by the drama teacher with her own money. 6. The lawn furniture was broken by irresponsible party guests. 7. The dives were accomplished with great precision by the team, and the gold medal was won by them.8. Five pounds of chocolate candy were eaten by the unfortunate German shepherd.9. All of the candles on the birthday cake had been blown out by the birthday girl. 10. The award for the best picture of the year is presented each spring by the Motion Picture Academy. Which statements correctly describe major cities inEurope? Check all that apply.Rome is in Southern Europe.Paris is a coastal city.Berlin is in Central Europe.Paris is in Western Europe.Greece is in Western Europe. The following function represents the value of a house, in dollars, after x years:f(x) = 242,000(1.04)*What does 242,000 represent? (5 points) What is the population of Nigeria 2020? 5. Lisa sold costume jewelry at a bazaar. Thefirst hour she sold 2 bracelets and 3 ringsfor a total of $26. Later a customer bought2 rings and paid $12. All bracelets werepriced the same. All rings were priced thesame. How much did a bracelet cost? Explain how southerners used states rights to justify owning slaves please Use Green's Theorem to evaluate F dr. C (Check the orientation of the curve before applying the theorem.)F(x, y) = y cos(x) xy sin(x), xy + x cos(x) , C is the triangle from (0, 0) to (0, 8) to (2, 0) to (0, 0) The decline of salmon fisheries along the Columbia River in Oregon has caused great concern among commercial and recreational fishermen. The paper 'Feeding of Predaceous Fishes on Out-Migrating Juvenile Salmonids in John Day Reservoir, Columbia River' (Trans. Amer. Fisheries Soc. (1991: 405-420) gave the accompanying data on 10 values for the data sets where y = maximum size of salmonids consumed by a northern squaw fish (the most abundant salmonid predator) and x = squawfish length, both in mm. Here is the computer software printout of the summary: Coefficients: Estimate Std. Error t value Pr(> |t|) (Intercept) 90.020 16.702 5.390 0.000 Length 0.701 0.044 15.798 0.000 Using this information, compute a 95% confidence interval for the slope. Officers can compel a driver to take a breath or blood test against their will) if they are involved in a fatal accident involving their car or boat? true or false I SHALL NAME THEE BRAINLIEST! (: Use Associative and Commutative Properties to combine like terms. Simplify the expression. Plz help me. -5X + 8X - 4 -5Y + 3 - 6Y + 2Y + 4 6 + X - 5 + 3X + 8 3B - B + 7 + 4B CalculationsWeight of acetanilide = 2.7gTheoretical yield of Nitroaniline =Weight of para-nitroaniline = 1.5gPercentage yield of para-nitroaniline =Please help me which this and show me how you get the answer thank you You are using a hydrogen discharge tube and high quality red and blue light filters as the light source for a Michelson interferometer. The hydrogen discharge tube provides light of several different wavelengths (colors) in the visible range. The red light in the hydrogen spectrum has a wavelength of 656.3 nm and the blue light has a wavelength of 434.0 nm. When using the discharge tube and the red filter as the light source, you view a bright red spot in the viewing area of the interferometer. You now move the movable mirror away from the beam splitter and observe 158 bright spots. You replace the red filter with the blue filter and observe a bright blue spot in the interferometer. You now move the movable mirror towards the beam splitter and observe 114 bright spots. Determine the final displacement (include sign) of the moveable mirror. (Assume the positive direction is away from the beam splitter.) Colin, Sara and Gordon share some sweets in the ratio 7:3:1. Colin gets 54 more sweets than Gordon. How many sweets does Sara get? I really need this ASAP. There are 25 students in a class. How many ways can the teacher (randomly) pick two students for the lead roles in the class play?