HELP PLS! ITS DUE IN 30 MIN!!!!!!!
The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude, in feet, of the airplane and x represents the number of minutes the plane has been descending:

y = -10x + 300

Part A:
Create a table for the values when x = 0, 5, 8, 10, 30.

Include worked-out equations used to identify the values within the table.

Part B:

Identify the altitude after 5 minutes and after 30 minutes. Use 1-2 sentences to explain the altitude at these two times and describe what is happening to the airplane at these time intervals.
The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude, in feet, of the airplane and x represents the number of minutes the plane has been descending:


y = -10x + 300


Part A:

Create a table for the values when x = 0, 5, 8, 10, 30.


Include worked-out equations used to identify the values within the table.


Part B:


Identify the altitude after 5 minutes and after 30 minutes. Use 1-2 sentences to explain the altitude at these two times and describe what is happening to the airplane at these time intervals.

Answers

Answer 1

Using the given linear equation, we found the altitude of the plane at different time periods and the altitude of airplane at 5 and 30 minutes is found to be 250 feet and 0 feet respectively.

What is a linear equation?

A linear equation is one that has the highest degree of 1 possible. This indicates that there are no variables in a linear equation with exponents greater than 1. A linear equation's graph almost always takes the shape of a straight line.

The linear equation which shows the altitude of an airplane is as follows,

y = -10x + 300

where y = altitude (in feet)

           x = time of descend ( minutes)

a) when x = 0

     y = 300 feet

  when x = 5 minutes

    y = -10 * 5 + 300 = 250 feet

 when x = 8 minutes

   y = -10 * 8 + 300 = 220 feet

when x = 10 minutes

 y = -10 * 10 + 300 = 200 feet

when x = 30 minutes

y = -10 * 30 + 300 = 0 feet.

the table is as follows:

x (minutes)     0         5          8          10       30

y(feet)            300    250     220     200       0

b) From the above table, we can see that at 5 minutes the altitude is 250 feet and at 30 minutes, the altitude is 0 feet. There is a decrease in altitude, which suggests the plane is descending and finally landed when the time was 30 minutes.

Therefore using the given linear equation, we found the altitude of the plane at different time periods and discussed the altitude of airplane at 5 and 30 minutes.

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Related Questions

Which angles are corresponding angles? Se
lect all that apply

Answers

The angles that are corresponding angles:

∠1 and ∠3

∠5 and ∠7

∠6 and ∠8

We know that when a transversal intersects parallel lines or non-parallel lines then the angles formed at the same relative position at each intersection are nothing but the corresponding angles.

If a transversal intersects parallel lines, then the corresponding angles formed have equal measure.

Wheras if a transversal intersects non-parallel lines, then the corresponding angles formed doesn’t have any relation with each other.

In the following figure we can observe that line p and line q are non-parallel lines and are intersected by transversal r.

From definition of corresponding angles, the pair of corresponding angles:

∠1 and ∠3

∠5 and ∠7

∠6 and ∠8

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Find the complete question below.

Which of the following statements about the product of 3–√2 and 75−−√ is true?

Answers

its b is true I just took it

P!ease determine the value of the missing angle using the inverse trig function!

Answers

Using a trigonometric relation we will see that the measure of angle x is 40°.

How to find the value of the missing angle?

Here we can see a right triangle where one of the angles is x, the hypotenuse is 14 units long, and the opposite cathetus to the known angle is 9 units long.

Here we can use the trigonometric relation:

sin(x) = (opposite cathetus)/hypotenuse

Then we can write:

sin(x) = 9/14

Using the inverse sine function we will get:

Asin(sin(x)) = Asin(9/14)

x = Asin(9/14)

x = 40°

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WILL MARK BRAINLIST!!! Sabrina's average speed was 8 miles per hour during the first half of her bike ride. She increased her average speed to 16 miles per hour during the second half of her bike ride. What percentage represents the increase in Sabrina's average speed during her bike ride? A. 50% B. 80% C. 100% D. 200%​

Answers

100%

You calculate the increase, which is the final amount minus the initial amount.

You then divide the value of increase by the original amount (in our case, this was 8÷8).

You then multiply that amount by 100 to put it into a percentage.

Hope this helps!

who will be in your sample? when, where, and how will you survey those people? describe the procedure you will use to target respondents.

Answers

My sample will include people who are  older. I will survey those people through an online survey that I will send out email or post

I will use targeted ads on social media platforms ,I will also use search engine optimization (SEO)to ensure that my survey is seen by the right people. The survey will be conducted over a  two weeks. In order to ensure that I get a representative sample of people, I will use demographic and psychographic targeting. This will include targeting people based on their age, gender, location, interests, and other relevant characteristics. My sample will include people who are  older. I will survey those people through an online survey that I will send out email or post

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Belle and Ling are collecting clothes for a clothing drive. Ling collected 1/5 as many clothes as Belle did. If Belle collected 4 bags of clothes, how many bags of clothes did Ling collect?

Answers

In the given word problem, Ling collected 4/5 bags.

What is a word problem?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, Belle and Ling are collecting clothes for a clothing drive. Ling collected 1/5 as many clothes as Belle did and Belle collected 4 bags of clothes, we need to find how many bags of clothes did Ling collect.

Since, Belle collected 4 bags, and Ling is collected 1/5 of the Belle collection,

So, Ling collected = 4 x 1/5 = 4/5

Hence, Ling collected 4/5 bags.

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The cost of 4kg of radishes and 1. 5kg of carrots is £14. 80
The cost of 3kg of radishes and 2kg of carrots is £12. 50
Work out the cost of 1 carrots
Work out the cost of 1 radishes

Answers

The cost of one carrot is £1.6 and cost of one radish is £3.1 according to the quadratic equations we formed by the given data.

Here the cost of 4 kilo grams of radish and 1 and half kilo gram of carrot is £14.80.

Now, form a quadratic equation from the given data:

4[tex]\alpha[/tex]+1.5[tex]\beta[/tex]=14.80 --------(1)

Also given that the cost of 3kg of radishes and 2kg of carrots is £12. 50.

Similarly form a equation with that data:

3[tex]\alpha[/tex]+2[tex]\beta[/tex]=12.50 ----------(2)

Now simplify both equation 1 and 2

4[tex]\alpha[/tex]+1.5[tex]\beta[/tex]=14.80

3[tex]\alpha[/tex]+2[tex]\beta[/tex]=12.50

--------------------

4(3[tex]\alpha[/tex]+2[tex]\beta[/tex]=12.50)

3(4[tex]\alpha[/tex]+1.5[tex]\beta[/tex]=14.80)

-----------------------

12[tex]\alpha[/tex]+8[tex]\beta[/tex]=50

-(12[tex]\alpha[/tex]+4.5[tex]\beta[/tex]=44.4)

----------------------

3.5[tex]\beta[/tex]=5.6

[tex]\beta[/tex]=1.6

Therefore cost of one carrot is £1.6.

Now substitute the value is equation 1, we get:

4[tex]\alpha[/tex]=12.4

[tex]\alpha[/tex]=£3.1

Therefore cost of one radish is £3.1.

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Pls help me it’s easy make it quick

Answers

Answer:

Step-by-step explanation:

yes no yes

10. The temperature underwent a change of -18 degrees Fahrenheit between noon and midnight. It changed by the same amount each hour. Write and solve an equation to find h, the hourly change in temperature.

Answers

The hourly change in temperature is -1.5

What do you understand by Fahrenheit?

Fahreheit temperature scale based on 32° for the freezing point of water and 212° for the boiling point of water, the interval between the two being divided into 180 equal parts.

The 18th- cenetury German physicist Daniel Gabreil Fahrenheit originally took as the zero of his scale the temperature of an equal ice-salt mixture and selected the values of 30° and 90° for the freezing point of water and normal body temperature, respectively, these later were revised to 32° and 96°, but the final scale required an adjustment to 98.6° for the latter value.

Given:

The temperature underwent a change of -18°F between noon and midnight.

To find:

The hourly change (h) in temperature

There are 12 hours between noon and midnight

So,

According to Question

Equation:

12h = -18

h = -18/12

h =-3/2

h = -1.5

The hourly change in temperature is -1.5

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The temperature underwent a change of -18 degrees Fahrenheit between noon and midnight, then the hourly change in temperature is -1.5.

What is Fahrenheit?

Fahrenheit temperature scale based on 32° for the freezing point of water and 212° for the boiling point of water, the interval between the two being divided into 180 equal parts.

The 18th-century German physicist Daniel Gabriel Fahrenheit originally took as the zero of his scale the temperature of an equal ice-salt mixture and selected the values of 30° and 90° for the freezing point of water and normal body temperature, respectively, these later were revised to 32° and 96°, but the final scale required an adjustment to 98.6° for the latter value.

Given:

The temperature underwent a change of -18°F between noon and midnight.

To find:

The hourly change (h) in temperature

There are 12 hours between noon and midnight

So,

According to Question

Equation:

12h = -18

h = -18/12

h =-3/2

h = -1.5

Therefore, The hourly change in temperature is -1.5

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Solve the word problem below. Enter your answer in simplest terms, using the
slash (/) to represent the fraction bar.
You have 4/6 cup of oatmeal in your cupboard. A recipe for cookies calls for 1/4
cup of oatmeal. How much oatmeal would you have left if you made the
cookies

Answers

Answer:

5/12

Step-by-step explanation:

4/6 - 1/4  The common denominator would be 12

8/12 - 3/12 = 5/12

Answer:

5/12

Step-by-step explanation:

mark me please

need help explain and answer​

Answers

The length of points IJ given the total length of HJ and length HI is 8

What is the length of points IJ?

The line HJ is measured as 20

If HI = 12

Then, subtract to find IJ

IJ = HJ - HI

= 20 - 12

IJ = 8

Therefore, length of points IJ is 8

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Find tn Will mark branliest!

Answers

The sequence is an arithmetic sequence

The equation of tn is Tn = -k^2 - k + 1 + (n - 1) * (k^2 + 2k + 3)

How to determine the equation of the function

From the question, we have the following parameters that can be used in our computation:

-k^2 - k + 1, k + 2, k^2 + 3k + 3, 2k^2 + 5k + 4

The above sequence is an arithmetic sequence

And the common difference (d) is

d = k + 2 + k^2 + k + 1

d = k^2 + 2k + 3

The nth term is then calculated as

Tn = a + (n - 1)d

So, we have

Tn = -k^2 - k + 1 + (n - 1) * (k^2 + 2k + 3)

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Need help on these questions. What are the values of x? Need step by step.
8x²=6x²+5x²
-7x²+6=x²-7x²
7x²+9x²=-6x²-7x

Answers

Answer: Check down below!!!

Step-by-step explanation:

   8x² = 6x² + 5x²

   This problem can be solved by combining like terms. To do this, we add up the coefficients of the x² terms:

8x² = 6x² + 5x²

8x² = 11x²

Now, we can isolate x² by subtracting 11x² from both sides of the equation:

8x² - 11x² = 11x² - 11x²

-3x² = 0

Finally, we can divide both sides of the equation by -3 to get:

(-3x²)/(-3) = 0/(-3)

x² = 0

So the solution is x = 0.

   -7x² + 6 = x² - 7x²

   This problem can be solved by combining like terms. To do this, we add up the coefficients of the x² terms:

-7x² + 6 = x² - 7x²

-7x² + x² = -7x² + 6

-6x² = 6

Now, we can isolate x² by dividing both sides of the equation by -6:

(-6x²)/(-6) = 6/(-6)

x² = -1

So the solution is x = ±√(-1), which is an imaginary number.

   7x² + 9x² = -6x² - 7x

   This problem can be solved by combining like terms. To do this, we add up the coefficients of the x² terms:

7x² + 9x² = -6x² - 7x

16x² = -6x² - 7x

Now, we can isolate x² by adding 6x² to both sides of the equation:

16x² + 6x² = -6x² + 6x² - 7x

22x² = -7x

Finally, we can divide both sides of the equation by 22 to get:

22x²/22 = -7x/22

x² = -7x/22

So the solution is x = ±√(-7/22), which is a complex number.

An employee records the number of minutes it takes each team to complete the escape room this week the dot plot shows the data. how amny teams completed the escape room this week

Answers

Total 21 teams completed the escape room this week.

An employee records the number of minutes it takes each team to complete the escape room this week the dot plot shows the data.

To determine how many teams completed the escape room this week we use the dot plot.

From the dot plot we can see that at 41 min have one found one employee escape from room.

At 44 min have one found 3 employee escape from room.

At 45 min have one found 2 employee escape from room.

At 46 min have one found 4 employee escape from room.

At 47 min have one found 5 employee escape from room.

At 48 min have one found 3 employee escape from room.

At 49 min have one found 2 employee escape from room.

At 50 min have one found one employee escape from room.

Team completed the escape room this week = 1 + 3 + 2 + 4 + 5 + 3 + 2 + 1

Team completed the escape room this week = 21

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Answer:21 i got it correct

Step-by-step explanation:

Avery has a loyalty card good for a discount at her local pharmacy. The item she wants to buy is priced at $6, before discount and tax. After the discount, and before tax, the price is $5.04. Find the percent discount.

Answers

Answer:

16% is the answer.

Answer:

16%

Step-by-step explanation:

$6 divided by $5.04 = 0.84

0.84 x 100 = 84%

100 - 84 = 16

6 - 5.04 = 0.96

0.96 divided by 6 = 0.16

0.16 x 100 = 16

a roll of ribbion is 12 meter long. Diego cut 9 pieces of ribbon that were 0.4 meter each to tie some presents. He then used the remaining ribbion to make some wreaths. Each wreath requried 0.6 meter. Foe each question, explain your reasoning.

Answers

After cutting 9 pieces of ribbons, Diego made 14 pieces of wreaths with the remaining roll of ribbon.

For finding the pieces of wreaths we will first obtain the total meter required for 9 pieces of ribbon by multiplying 9 with 0.4 meter and then subtract it from the total meters of the roll of ribbons i.e., 12 meters and then divide the result with 0.6 meter.

Total meter required for 9 pieces of ribbon = 9x0.4 meter

                                                                        = 3.6 meters

Total meter of the roll of ribbon = 12 meters

Meter required per wreath = 0.6 meter per wreath

Meter of roll remaining for making wreaths = 12-3.6

                                                                        = 8.4 meters

Total number of wreath made from the remaining roll

= 8.4 meter / 0.6 meter

= 14 Wreaths

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someone help me asap

Answers

Answer:

Step-by-step explanation:

Substitute and simplify.
w = -6, x = 4, y = 3, z = -8
1. WX + YZ =
2. 2w + 3z- xy + z³ =
3. y(z + x) =
4. (W+x+y)³=
5. (z-w)³ =
6. 5(w + x) + 4(y + z) =
7. W² - x² =
8. (xy) – 2wz =
9. wz - 4xy =
10. w+ (x+y+z)² =

Answers

The solution to all the Equations is shown below.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

w = -6, x = 4, y = 3, z = -8

1. WX + YZ

= (-6) (4) + (3)(-8)

= -24 - 24

= -48

2. 2w + 3z- xy + z³

= 2(-6) + 3(-8) - (4)(3) + (-8)³

= -12 - 24 - 12 -512

= -560

3. y(z + x)

= 3(-8 + 4)

= -12

4. (w + x + y)³

= (-6 + 4 + 3)³

= 1

5. (z-w)³

= (-8 + 6)³

= -8

6. 5(w + x) + 4(y + z)

= 5(-6 + 4) + 4(3 -8)

= -10 - 20

= -30

7. W² - x² =

= (-6)² - (4)²

= 36 - 16

= 20

8. (xy) – 2wz

= (4)(3) - 2(-6)(-8)

= 12 -2 (48)

= 12 -96

= -84

9. wz - 4xy

= (-6)(-8) - 4(4)(3)

= 0

10. w+ (x+y+z)²

= -6 + 1

= -5.

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Grace was born on January 1, 2020. Thomas was born on December 31, 2018. How many days older is Thomas than Grace?

Answers

Answer:

I think it’s 730 days

Step-by-step explanation:

Answer: Thomas is older by 740 days

Step-by-step explanation: 2 years = 730 + the 10 months+ 740

Can someone please help me with this

Answers

[tex]x^{\frac{8}{15} }[/tex] is the value of yz when x=y⁵=z³  and x is positive.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Since x=y⁵=z³

Solve for yz as follows:

we can take the fifth root of x to get y, and the cube root of x to get z:

We can solve for yz as follows:

[tex]y=x^{\frac{1}{5} }[/tex]

[tex]z=x^{\frac{1}{3} }[/tex]

Now yz=[tex]x^{\frac{1}{5} }.x^{\frac{1}{3} }[/tex]

=[tex]x^{\frac{8}{15} }[/tex]

Hence, option A is correct, if  x=y⁵=z³  then yz is [tex]x^{\frac{8}{15} }[/tex]

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What is the factored form of this expression? x^2 + 9x + 16

Answers

Answer:

The first term is, x2 its coefficient is 1 .

The middle term is, -9x its coefficient is -9 .

The last term, "the constant", is +16

Step-1 : Multiply the coefficient of the first term by the constant 1 • 16 = 16

Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is -9 .

-16 + -1 = -17

-8 + -2 = -10

-4 + -4 = -8

-2 + -8 = -10

-1 + -16 = -17

1 + 16 = 17

2 + 8 = 10

4 + 4 = 8

8 + 2 = 10

16 + 1 = 17

the prices of houses in the us is strongly skewed to the right with a mean of $383,500 and a standard deviation of $289,321. a real estate agent takes a random sample of 30 houses and records the mean price. what is the best description for the sampling distribution? skewed to the right with a mean of 383,500 and a standard deviation of 52,823 skewed to the right with a mean of 383,500 and a standard deviation of 289,321 approximately normal with a mean of 383,500 and a standard deviation of 52,823 approximately normal with a mean of 383,500 and a standard deviation of 289,321

Answers

The sampling distribution of the mean price of 30 houses is a normal distribution with a mean of $383,500 and a standard deviation of $52,823 is the correct description among the following given for sampling distribution.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

This can be calculated as:

Standard Deviation of Sampling Distribution =

(Standard Deviation of Population) / (√Number of Samples)

= $289,321 / √30

= $289,321 / 5.4772

= $52.823

Therefore, the sampling distribution of the mean price of 30 houses is a normal distribution with a mean of $383,500 and a standard deviation of $52,823.

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There are 12 girls and 14 boys in math class. The teacher puts the names of the students in a hat and randomly picks one name. Then the teacher picks another name without replacing the first.
What is the probability that both students picked are the same gender?

Answers

Answer:

The probability of picking the first boy is 14/26 and the probability of picking another boy is 13/25.

Step-by-step explanation:

a person in a lighthouse 22m above sea level sights a buoy in the water. if the angle of depression to the buoy is 25o, how far from the base of the lighthouse is the buoy?

Answers

If the angle of depression to the buoy is 250, then the buoy is approximately 47.2 meters from the base of the lighthouse.

What is angle of depression ?

The angle of depression is the angle between a horizontal line of sight and the line of sight from an observer to a point or object that is lower than the observer. It is commonly used in trigonometry and geometry problems that involve the height or depth of an object relative to an observer or the ground.

We can start by drawing a diagram to visualize the situation.

In the diagram, A represents the location of the lighthouse, B represents the location of the buoy, and x represents the distance from the base of the lighthouse to the buoy that we want to find.

Since the angle of depression from the lighthouse to the buoy is 25 degrees, we know that angle ABx is also 25 degrees. We also know that the height of the lighthouse above sea level is 22 meters.

We can use the tangent function to find the value of x:

tan(25°) = opposite / adjacent

tan(25°) = 22 / x

Solving for x, we get:

x = 22 / tan(25°)

x ≈ 47.2 meters

Therefore, the buoy is approximately 47.2 meters from the base of the lighthouse.

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Which transformation maps △UVW to △EFG?

Answers

The transformation that maps △UVW to △EFG is (d) (x, y) = (-2x, -2y)

How to determine the transformation

From the question, we have the following parameters that can be used in our computation:

The figure


From the figure, we can see that

Triangle EFG is twice the triangle UVW in side lengths

This means that

(x, y) = (2x, 2y)

The orientations are 180 degrees apart

So, we have

(x, y) = (-2x, -2y)

Hence, the transformation is (d) (x, y) = (-2x, -2y)

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E(t)E, left parenthesis, t, right parenthesis models the daily amount of energy (in kilojoules, \text{kJ}kJstart text, k, J, end text) that a solar panel in Pago Pago generates, ttt days after the autumn equinox. Here, ttt is entered in radians. E(t) = {624}\sin\left({\dfrac{2\pi}{365}}t\right) + {8736}E(t)=624sin( 365 2π ​ t)+8736E, left parenthesis, t, right parenthesis, equals, 624, sine, left parenthesis, start fraction, 2, pi, divided by, 365, end fraction, t, right parenthesis, plus, 8736 What is the first day after the autumn equinox that the solar panel generates 8400\text{ kJ}8400 kJ8400, start text, space, k, J, end text?

Answers

The first day after the autumn equinox that the solar panel generates 8400 kJ is approximately 39.2 days, or 0.107 radians, after the equinox.

To find the first day after the autumn equinox that the solar panel generates 8400 kJ, we need to solve the equation:

624sin(2π/365)t + 8736 = 8400

Simplifying the equation, we get:

sin(2π/365)t = 0.958

Taking the inverse sine of both sides, we get:

(2π/365)t = 1.296 or (2π/365)t = 3.846

Solving for t in each equation, we get:

t ≈ 78.97 or t ≈ 235.62

Since t is measured in radians, we need to convert it to days by dividing by 2π/365:

t ≈ 78.97 / (2π/365) ≈ 86.75 or t ≈ 235.62 / (2π/365) ≈ 256.73

Therefore, the first day after the autumn equinox that the solar panel generates 8400 kJ is either day 87 or day 257.

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there are c different types of coupon, and each coupon obtained is equally likely to be any one of the c types. find the probability that the first n coupons which you collect do not form a complete se

Answers

The probability that the first n coupons which you collect do not form a complete set is (c^n - (c-1)^n) / c^n.

To find the probability that the first n coupons collected do not form a complete set, we need to count the number of ways in which the first n coupons can be collected so that they do not form a complete set and divide it by the total number of ways in which n coupons can be collected, which is c^n.

Let S be the set of all possible complete sets of coupons. The number of ways in which the first n coupons can form a complete set is the number of ways to choose any one of the complete sets in S, multiplied by the number of ways to order the coupons within that set. There are (c choose n) ways to choose n coupons out of c, and for each complete set of n coupons, there are n! ways to order them. Therefore, the number of ways to choose n coupons that form a complete set is (c choose n) * n!.

The total number of ways to choose n coupons out of c is c^n.

So, the probability that the first n coupons collected do not form a complete set is:

P = 1 - [(c choose n) * n! / c^n]

Alternatively, we can count the number of ways in which the first n coupons can be collected so that they do form a complete set. There are (c-1)^n ways to choose n coupons out of c-1 types of coupons, and for each set of n coupons, there is exactly one way to add the missing coupon to form a complete set. Therefore, the number of ways to choose n coupons that form a complete set is c^n - (c-1)^n.

So, the probability that the first n coupons collected do not form a complete set is:

P = (c^n - (c-1)^n) / c^n

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What is AE

See the attachment for the problem to be answered.

Answers

The length of the segment AE is 10 units.

What are similar triangles?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

The two triangles triangle ABE and triangle CDE are similar triangles.

We know that, the ratio of segments of similar triangle are equal thus:

10 / 8 = 2x + 6 / x+ 6

10(x + 6) = 8(2x + 6)

10x + 60 = 16x + 48

60 - 48 = 16x - 10x

12 = 6x

x = 2

Substitute the value of 2 in 2x + 6:

2(2) + 6 = 10 units.

Hence, the length of the segment AE is 10 units.

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Write the equation & solve: Sixteen increased by twice a number is 3 times the number decreased by 4​

Answers

The equation is 16 + 2x = 3(x - 4) and the solution is x = 28

How to solve the equation

From the question, we have the following parameters that can be used in our computation:

Sixteen increased by twice a number is 3 times the number decreased by 4​

Let the variable be x

So, we have

16 + 2x = 3(x - 4)

Open the brackets

16 + 2x = 3x - 12

Evaluat the like terms

x = 28

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Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 8,15 and 17?

Answers

28.07 and 61.93 degree are the measure of other two angles.

Application of trigonometry identities to triangles

The question talks about a triangle with 3 sides and angles. According to the trigonometry identities

sin x = 8/17

x = sin^1(8/17)

x = sin^-1(0.4708)
x = 28.07 degrees

Determine the measure of the longest leg

y = 45 - 28.07

y = 61.93 degrees

Hence the other two angle measures of a right triangle are 28.07 and 61.93 degree.

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