Please give me some help I don’t get it. U have to complete the the diagram

Please Give Me Some Help I Dont Get It. U Have To Complete The The Diagram

Answers

Answer 1

The probabilities are given as follows:

a = 0.4.b = 0.9.c = 0.5.d = 0.5.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

For a probability tree, the sum of the nodes at each level must be of 1.

Then the value of a is obtained as follows:

0.6 + a = 1

a = 1 - 0.6

a = 0.4.

The value of b is obtained as follows:

0.9 + b = 1

b = 0.1.

The values of c and d are free, as long as the sum of these two values is of 1, hence we can attribute:

c = 0.5, d = 0.5.

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Related Questions

How much is 1/12 in milliters?

Answers

The conversion of 1/12in to milliters  can be expressed as 2.117mm

How can the conversion be done?

Just dividing the number of conversions by the total number of ad interactions that can be linked to a conversion within the same time period yields the conversion rate. As an illustration, if you had 1,000 interactions and 50 conversions, your conversion rate would be 5% because 50 x 1,000 = 5%.

The proportion of users who perform the intended action is known as the conversion rate. The proportion of website visitors who make a purchase there serves as the prototypical illustration of conversion rate.

We can  1/12in to milliters by using the conversion rate, which 1inch = 25.4mm,and this can be used to make the conversion as:

If  1inch = 25.4mm

 1/12 = X mm

Xmm =  (1/12 *25.4mm)/ 1inch

=2.117mm

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complete question:

How much is 1/12in to milliters?

A plane can fly 420 miles in the same time as it takes a car to go 150 miles. If the car travels 90 mph slower than the plane, find the speed of the plane. Using r as your variable to represent the speed of the plane in miles per hour, write an equation using the information above that can be solved to find the answer to this problem.

Answers

Answer:

Step-by-step explanation:

rate of the plane be x

distance traveled by plane = 420 miles

time taken by plane = 420/x

distance traveled by car =120 miles

rate of car = x-120

time taken by car = 120 / x-100

the time taken by both are same

420/x = 120/ x-100

420(x-100)=120x

420x-42000 = 120x

420x-120x=42000

300x= 42000

x=42000/300

x=140 mph the speed of the plane

Blood pressure readings are normally distributed. The mean systolic blood pressure is 120 and the standard deviation is 8. If a medical researcher randomly selects a sample of 20 people, what is the probability that the mean blood pressure for this sample will be greater than 123?

Answers

Answer:

To solve this problem, we can use the central limit theorem and the standard normal distribution.

The central limit theorem states that the distribution of sample means is approximately normal, with a mean equal to the population mean, and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

Let X be the systolic blood pressure of an individual in the population. We know that X is normally distributed with a mean of 120 and a standard deviation of 8.

Let Y be the sample mean blood pressure of a sample of 20 individuals. Then Y is also normally distributed, with a mean of 120 and a standard deviation of 8 / sqrt(20) = 1.7889.

We want to find the probability that the sample mean blood pressure is greater than 123. We can standardize this value using the standard normal distribution as follows:

Z = (Y - 120) / (8 / sqrt(20))

P(Y > 123) = P(Z > (123 - 120) / (8 / sqrt(20)))

= P(Z > 1.3363)

Using a standard normal distribution table or calculator, we can find that the probability of Z being greater than 1.3363 is approximately 0.0918.

Therefore, the probability that the mean blood pressure for a sample of 20 people will be greater than 123 is approximately 0.0918.

A ball that is thrown upward follows the path h(t)=-t^2+8t+32, where h(t) represents the height of the ball above the ground at time t, and t represents the time since the ball was thrown. How high above the ground did the ball reach? show work

Answers

Answer:

Step-by-step explanation:

To find the maximum height of the ball, we need to find the vertex of the parabolic function h(t) = -t^2 + 8t + 32. The vertex represents the highest point of the parabolic curve.

The x-coordinate of the vertex is given by the formula x = -b/2a, where a and b are the coefficients of the quadratic equation. In this case, a = -1 and b = 8, so we have:

x = -b/2a = -8/(2(-1)) = 4

Therefore, the vertex occurs at time t = 4.

To find the y-coordinate of the vertex, we evaluate the function at t = 4:

h(4) = -4^2 + 8(4) + 32 = 16 + 32 = 48

Therefore, the ball reaches a maximum height of 48 feet above the ground.

It is observed that 3 out of every 5 drills made at an oil-drilling site strike oil. The results from 50-simulation trials of the model showed 1 out of 5 drills
are guaranteed to strike oil. What is the hypothesis, and based on the results from the simulation trials, what should be concluded about the
hypothesis?
A. The hypothesis is that at least 1 out of 5 drills will strike oil. Based on the results from the simulation trials, the hypothesis should be rejected.
B. The hypothesis is that at least 1 out of 5 drills will strike oil. Based on the results from the simulation trials, it can be concluded that the hypothesis is
correct.
C. The hypothesis is that at least 3 out of 5 drills will strike oil. Based on the results from the simulation trials, the hypothesis should be rejected.
D. The hypothesis is that at least 3 out of 5 drills will strike oil. Based on the results from the simulation trials, it can be concluded that the hypothesis is
correct.

Answers

The answer is A.

The hypothesis is that at least 1 out of 5 drills will strike oil. Based on the results from the simulation trials, the hypothesis should be rejected.

Find the value of x. Round your answer to the nearest tenth.​

Answers

Answer:

Step-by-step explanation:

9. sin 18 = x/21

 x = 21* sin 18

  x = 6.5

10. tan 55 = 29/x

  x* tan 55 = 29

x = 29/tan 55

x = 20.3

11. sin 23 = x/25

  x = 25 * sin 23

  x = 9.8

12. sin 47 = 33/x

  x * sin 47 = 33

 x = 33/sin 47

  x = 45.1

Weber Jewelry advertised a diamond necklace for $572.95 and a gold pendant for $113.76. The state tax is 6.5 percent and the city tax is 0.5 percent. What is the total purchase price?

Answers

Therefore, the total purchase price is $734.78.

What are profits?

Profit is the financial gain obtained by subtracting the cost (or expenses) of producing and selling goods or services from the revenue generated from their sale. In other words, profit is the amount of money that is left over after all expenses have been paid, including the cost of goods sold, operating expenses, taxes, and any other costs associated with running a business.

Profit can be calculated using the following formula:

Profit = Revenue - Cost

by the question.

To calculate the total purchase price, we need to calculate the tax and add it to the sum of the prices of the diamond necklace and the gold pendant.

The tax on the diamond necklace is:

572.95 * 0.065 = 37.24

The tax on the gold pendant is:

113.76 * 0.065 = 7.40

The total tax is the sum of these two taxes:

37.24 + 7.40 = 44.64

We also need to add the city tax, which is 0.5 percent of the total price:

(572.95 + 113.76) * 0.005 = 3.43

The total purchase price is the sum of the prices of the diamond necklace and the gold pendant, the state tax, and the city tax:

572.95 + 113.76 + 44.64 + 3.43 = 734.78

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For every pound of warming gas produced by agriculture, how many pounds of gas are produced by transportation?

1.0
1.3
2.0
2.7
3.0

Answers

The answer to this question depends on the specific gases being compared, as different gases have different warming potentials. However, in general, transportation is a major contributor to greenhouse gas emissions and produces more greenhouse gases than agriculture. According to the US Environmental Protection Agency (EPA), transportation accounted for 28% of greenhouse gas emissions in the United States in 2018, while agriculture accounted for 9%. Therefore, we can estimate that for every pound of warming gas produced by agriculture, transportation produces more than one pound of warming gas.

Out of the given options, the closest answer would be 1.3 pounds of gas produced by transportation for every pound of warming gas produced by agriculture. However, it is important to note that this is only an estimate and the actual ratio may vary depending on the specific gases being compared and other factors.

solve for x. Round your answer to the nearest tenth.

Answers

The length of the side opposite to the 42 degree angle in the right triangle is approximately 3.4 units.

Describe Triangle?

The angles of a triangle are the angles formed by its sides. The sum of the angles of a triangle is always 180 degrees, which is a fundamental property of this shape. There are different types of triangles, based on their side lengths and angle measures. For example:

A scalene triangle has three sides of different lengths and three different angles.

An isosceles triangle has two sides of equal length and two equal angles.

An equilateral triangle has three sides of equal length and three equal angles.

A right triangle has one angle that measures 90 degrees (a right angle), and the side opposite to it is called the hypotenuse.

Triangles have many important properties and applications in mathematics, physics, and engineering. They can be used to calculate distances, angles, areas, volumes, and many other quantities. Triangles are also used in the construction of buildings, bridges, and other structures, as well as in art, design, and other fields.

We can use the trigonometric ratio of sine to solve for x:

sin(42) = opposite/hypotenuse

sin(42) = x/5

To solve for x, we can multiply both sides by 5 and simplify:

x = 5*sin(42)

x ≈ 3.4 (rounded to the nearest tenth)

Therefore, the length of the side opposite to the 42 degree angle in the right triangle is approximately 3.4 units.

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Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 4 people took the trip. She was able to purchase coach tickets for $140 and first class tickets for $1000. She used her total budget for airfare for the trip, which was $2280. How many first class tickets did she buy? How many coach tickets did she buy?

number of first class tickets bought = ___

Answers

The number of coach tickets purchased is 3, and the number of first-class tickets purchased is 8.

Let us assume the number of coach tickets purchased is x.

And the number of first-class tickets purchased is y.

Now,

Including Sarah, a total of 11 people took the trip.

Thus,

[tex]x + y = 11 [/tex]

The cost of coach tickets and first-class tickets are $210 and $1200 respectively.

The total budget for airfare for the trip is $10,230.

Therefore,

210x + 1200y = 102309

21x + 120y = 1023

Solving both the equations, we get.

x=3

y=8

Thus, The number of coach tickets purchased is 3, and the number of first-class tickets purchased is 8.

Two step equations that equal 23

Answers

1. (2x10)+3= 23

2. (6x4)-1=23

The histogram shows information about how 600 people travel to work.
40
35-
30-
25-
20-
15-
10-
5-
0
0 5 10 15 20 25 30 35 40 45 50 55 60
a) How many people travel more than 40 miles to work?
b) 225 of the 600 people travel further than Tim. Estimate how far Tim travels.
Frequency density
Distance (miles)
8
A

Answers

Answer:

A:0 Noone goes higher than 40. b: 5 miles

Twenty percent of Americans ages 25 to 74 have high blood pressure. If 26 randomly selected Americans
ages 25 to 74 are selected, find the probability that one-half have high blood pressure.
Please write your answer as a decimal. Round your answer to seven decimal places.

Answers

The probability that one-half of the selected people will have high blood pressure is given as follows:

P(X = 13) = 0.0004684.

What is the binomial distribution formula?

The binomial distribution formula gives the probability of obtaining a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant throughout the trials.

The mass probability formula is given by the equation presented as follows:

[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, along with their meaning, are listed as follows:

n is the fixed number of independent trials.p is the constant probability of a success on a single independent trial of the experiment.

The parameter values for this problem are given as follows:

n = 26, p = 0.2.

One-half of 26 is of 13, hence the probability is given as follows:

P(X = 13) = 26!/(13! x 13!) x (0.2)^13 x (0.8)^13

P(X = 13) = 0.0004684.

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Iti...
00
t
Get ready
and
Evaluate.
Hint: Use the image to help break 9 x 4 up into two expressions.
9x4
5 fours +
fours

Answers

Based on the image, we can break 9 × 4 into two expressions as 4 groups of 9 or 9 groups of 4. This equals 36.

How to explain the expression

It should be noted that to break 9 x 4 up into two expressions, you can use the distributive property of multiplication over addition, which states that a(b + c) = ab + ac.

So, we can rewrite 9 x 4 as:

9 x 4 = 9 x (3 + 1)

Using the distributive property, we can expand this expression as:

9 x (3 + 1) = (9 x 3) + (9 x 1)

Simplifying, we get:

9 x 4 = 27 + 9

Therefore, we have broken up 9 x 4 into two expressions: 27 and 9. This will give 36.

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Line AB intersects line CD at point F. If m<AFC=(7x-8)° and m<BFD=(5x+6)°, what is m<BFD?
82°
48°
41°
7°​

Answers

76 is m<BFD in linear equation.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                                 The above is occasionally referred to as a "linear equation with two variables," where y and x are the variables.

 m<AFC + m<BFD = 180°

   (7x-8)° +   m<AFC = 180°

   (5x+6)° +  m<BFD =  180°

     

(7x-8)° = (5x+6)

 2x = 12

    x = 14

m<BFD=(5x+6)°

       = 5 * 14 + 6

        = 70 + 6

          = 76

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Help!!

Question
Callie is buying fence for two triangular sections of her garden.

How much fence would she need for ​triangle DFG​ ?



Enter your answer in the box.
ft

Answers

Callie will need a total of 112 feet of fence for the triangle DFG.

How to find the amount of fence needed.

We can find the amount of fence needed by finding the relationship between both triangles and find the missing side.

The sum of all the sides of the triangle will be known as the perimeter of the triangle. we can use this knowledge to find the amount of fence needed.

Both triangles are similar and are in the ratio of 1:7To find the missing side of triangle DFG, we multiply the corresponding side of triangle BAC by 7 to find the missing side.

This will give us 7 x 7 = 49ft

To find the amount of fence needed for triangle DFG we add all the sides of triangle DFG which will be 49 + 35 + 28.

The total will be 112ft.

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A hardware store sells nylon rope for $0.89/yd. A lumber yard sells the same rope for $0.94/m.
a) Which store sells the rope for a lower price? Explain your answer.
b) How much money would Jim save if he purchased 650 ft. of the less expensive rope, before taxes?
pls complete a and b!! ​

Answers

Therefore , the solution of the given problem of unitary method comes out to be 14.7 dollars  before taxation, assuming he bought 650 feet of the cheaper rope.

What is an unitary method?

The job can be completed by bringing together what was learned and applying this variable technique, that also includes all supplementary data from two people that utilized a specific tactic. To put it another way, if the desired outcome materialises, either the entity stated in the calculation will be recognised, or both expression essential processes will truly skip the colour. For forty pencils, a refundable charge of Rupees ($1.01) might be required.

Here,

To evaluate the prices, we need to use the same units.

Since 0.9144 metres make up one yard, we can convert the cost of the rope at the hardware shop to dollars per metre as follows:

=> 0.89 dollars/yard * 1 yard/0.9144 meters = 0.97 dollars/meter

b) We must change the units to yards or metres in order to evaluate the costs of 650 feet of rope. 650 feet is equivalent to 3 yards, which is:

=> 650 feet x 3 feet per yard = 216.67 yards

The hardware store's price for the cord is:

=>  192.5 dollars ($0.89/yard x 216.67 yards)

At the timber yard, the price of the rope is:

=>  (216.67 yards * 0.9144 meters/yard) * 0.94 dollars/meter = 177.8 dollars.

Jim would therefore save:

=>  192.5 dollars - 177.8 dollars = 14.7 dollars.

before taxation, assuming he bought 650 feet of the cheaper rope.

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Consider the following function.

p(x)=2−29x
Step 1 of 2 : Find the slope and the y-intercept. Express the intercept as an ordered pair. Simplify your answer.

Answers

The slope of the function is -29 and the y-intercept is the point (0, 2).

What is function ?

In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. It is a rule that assigns to each element of a set (called the domain) exactly one element of another set (called the range).

To find the slope and y-intercept of the function p(x) = 2 - 29x, we can write it in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

So, by comparing p(x) = 2 - 29x with y = mx + b, we can see that:

m = -29 (the coefficient of x)

b = 2 (the constant term)

Therefore, the slope of the function is -29 and the y-intercept is the point (0, 2).

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Find m1 if m5 =142 and m4=65

Answers

The value of m∠1 is 103°. The solution has been obtained by using the angle sum property.

What is the angle sum property?

The angle sum property of a triangle states that the sum of the three internal angles of a triangle is 180 degrees.

We are given that m∠5 = 142° and m∠4 = 65°.

Since m∠5 and m∠2 lie on a straight line so, they form a linear pair.

So,

⇒ m∠5 + m∠2 = 180°

⇒ 142° + m∠2 = 180°

⇒ m∠2 = 38°

We know that sum of angles of a triangle is 180°.

So,

⇒ m∠3 + m∠4 + m∠2 = 180°

⇒ m∠3 + 65° + 38° = 180°

⇒ m∠3 + 103° = 180°

⇒ m∠3 = 77°

Now, since m∠3 and m∠1 lie on a straight line so, they form a linear pair.

So,

⇒ m∠3 + m∠1 = 180°

⇒ 77° + m∠1 = 180°

⇒ m∠1 = 103°

Hence, the value of m∠1 is 103°.

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The complete question and the figure has been attached below.

Question: Find m∠1 if m∠5 = 142° and m∠4 = 65°.

WRITING EXAMPLE: EMAIL Compare both texts. Which one do you think is better written? 1. Hi Usma. I like blue colour. Because blue is the best color please when can you come and painting my room. If u coming tomorrow reply me back, dont worry about mony. I whant tell you my room. My room is white colour and I have one shair. Tell me about you rom. Maria 2. My favourite colour is pink, but for my bedroom I prefer white because it's the best colour for my room. My bedroom is big. It is white. There are 2 beds. There is one desk. There are 2 windos. There is one armchair. Bye, Maria​

Answers

Answer:

Second one

Step-by-step explanation:

What are the x- and y-intercepts of f(x) - 3x - 4?

Answers

The x- and y-intercepts as required to be determined in the task content are; (-4/3, 0) and (0, -4).

Which points represent the x- and y-intercepts of the function?

As evident in the task content; the given function is; f(x) = - 3x - 4.

The x-intercept represents the value of x when f(x) = 0.

0 = -3x - 4

3x = -4

x = -4 / 3.

The y-intercept represents the value of f(0); hence, we have that;

f (x) = -3(0) - 4

f(0) = -4.

Ultimately, the points which correctly represents the x- and y-intercepts are; (-4/3, 0) and (0, -4).

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Function or not a function answers

Answers

Answer:

Only the set of ordered pairs is one-to-one

Step-by-step explanation:

You have three right

The last one:
A function is one-to-one if and only if, for every value of y there is only one value of x

The mapping diagram is not one-to-one since for two values of x, x = -3 and x = 5 we get the same y value of 6

The set of ordered pairs is a one-to=-one since for every value of y there is a unique value for x

Gwen owes a total of $4,522.50 on revolving credit accounts that have total limits of $7,950.00. Calculate the amount she needs to pay on her debt to reduce her revolving credit accounts to reach a 25% debt-to-credit ratio.

Answers

The amount that she needs to pay on her debt to reach a 25% debt-to-credit ratio is given as follows:

$2,535.

How to obtain the amount that she needs to pay?

The amount that she needs to pay on her debt reach a 25% debt-to-credit ratio is obtained applying the proportions in the context of the problem.

She has a credit limit of $7,950.00, hence 25% of her credit limit is obtained as follows:

0.25 x 7950 = $1987.5.

She current has $4,522.50 on debts, hence the amount that she needs to pay for the debts to be reduced to $1987.5 is given as follows:

4522.5 - 1987.5 = $2,535.

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G
Which inequality has a dashed boundary line when graphed?
3
oy²x+1
O y²-3x+1
2
Oy> 3x+1
O y≤7x-1

Answers

The inequality that has a dashed boundary line when graphed is:

y > 3x + 1

What is inequality?

In mathematics, an inequality is a statement that two quantities are not equal or do not have the same value. In other words, it is a statement that compares two values, expressing that one value is greater than, less than, or not equal to the other value. An inequality is denoted by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

What is Dashed boundary?

In mathematics, a dashed boundary refers to a boundary line that is graphed as a dashed line rather than a solid line. The use of a dashed line is typically used to indicate that the boundary itself is not included in the set of solutions of an inequality or equation.

In the given question,

The inequality that has a dashed boundary line when graphed is:

y > 3x + 1

The reason for this is that when graphed, the boundary line of the inequality y > 3x + 1 is a straight line, but it is dashed instead of solid. This is because the inequality is strict, meaning that the boundary line itself is not included in the set of solutions. On the other hand, if the inequality had been y ≥ 3x + 1, the boundary line would have been a solid line because the inequality is non-strict and includes the boundary line itself as a solution.

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Identify the discriminant value of the quadratic equation m² + 18m + 17 = 0.

Answers

Answer:

Step-by-step explanation:

The discriminant value (denoted by Δ) of a quadratic equation in the form of ax² + bx + c = 0 is given by the expression b² - 4ac.

For the quadratic equation m² + 18m + 17 = 0, a = 1, b = 18, and c = 17. Substituting these values into the expression for the discriminant, we get:

Δ = b² - 4ac

Δ = (18)² - 4(1)(17)

Δ = 324 - 68

Δ = 256

Therefore, the discriminant value of the quadratic equation m² + 18m + 17 = 0 is 256.

Which is the following not true?

Answers

D is the correct answer

x+y=20 and x-y=4 what is the smaller of these two numbers?

Answers

Answer:

y = 8 is the smaller number.

Step-by-step explanation:

Sove the system by adding the two equations together, one on top of the other. Add from the top, down.



x + y = 20

x - y = 4

________

2x = 24

Divide by 2.

x = 12

Put this back into either original equation.

x + y = 20

12 + y = 20

Subtract 12.

y = 8

The numbers are 12 and 8.

8 is the smaller number.

Confidence intervals are constructed to estimate the population parameter (like the mean) a specified proportion of the time. The upper and lower interval estimates are often described as the

Answers

The upper and lower interval estimate are often describe as associated with a specific level of confidence.

What is Interval Estimate?

In statistics, interval estimate is the process of determining the interval, or range of values, within which a parameter—such as the mean (average) of a population—is most likely to fall.

The interval encompassing a population parameter is determined by computing the statistic from values obtained from a random sample chosen from the population and by using the understanding (derived from probability theory) of how accurately sample properties reflect those of the full population.

The possibility that the estimated confidence interval estimate will include the genuine population parameter is frequently referred to as the confidence level.

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I WILL GIVE BRANLIST ONLYNOF YOUR RIGHT
Determine the scale factor used to create the image

A 1/2

B 2

C 1/4

D 4

Answers

Answer:

Step-by-step explanation:

b

Please help with this!

4.3.4 shifting functions

2: do you agree with Serena that you can draw the graphs for the other two rockets by shifting the functions or do you think that Jack is correct and you need to recalculate the other two explain


3: compare the equation with the graph of the function assume the graph is atransformation from f (t)= -6t². Represent the science project what happens to the rocket


4: again assuming a transformation from f(t)= -6t² what does term 82.14 due to the rockets graph what does the value h (t)= 82.14 representative science project what is happening to the rocket


5: p Serena and Jack launch the second rocket 3 seconds after the first one how is the number of the second rocket different from the graph of the first rocket describe in terms of the the vertical and horizontal shift


6: what is the equation of the second rocket


7: they launched the third rocket and three seconds after the second rocket and from a tall platform but will the graph of the third rocket look like described in terms of the vertical and horizontal shape


8: what is the equation of the third rocket


9: answer the following questions about the three rockets refer to the graph rockets and times shown above


A: approximately when was the third rocket launched


B: approximately when does the first rocket land


C: what is the approximate interval during which all three rockets are in the air

Answers

The vertical shape of the graph will be the same as that of the first rocket, assuming both rockets have the same initial velocity and acceleration.

What is the interval during which all three rockets?

1.I agree with Serena that we can draw the graphs for the other two rockets by shifting the functions. We can use the same equation and just adjust the values of the horizontal and vertical shifts.

2. The equation f(t) = -6t² represents a quadratic function, which has a parabolic shape when graphed. If we apply a transformation to this function, such as a vertical or horizontal shift, the shape of the graph will change accordingly.

3. The term 82.14 likely represents the maximum height achieved by the rocket, since the equation f(t) = -6t² gives the height of the rocket as a function of time. The value of h(t) = 82.14 corresponds to a specific time when the rocket reaches its maximum height.

4. If the second rocket is launched 3 seconds after the first one, the graph of the second rocket will be shifted horizontally by 3 units to the right compared to the graph of the first rocket. This represents a time delay of 3 seconds between the two launches.

5. The equation of the second rocket would be f(t) = -6(t-3)², assuming that the second rocket has the same initial velocity and acceleration as the first rocket but is launched 3 seconds later.

6. Since the third rocket is launched 3 seconds after the second rocket and from a tall platform, its graph will be shifted horizontally to the right by 6 units compared to the graph of the first rocket.

9. A: Based on the graph, the third rocket was launched at approximately 5:20 PM.

B: Based on the graph, the first rocket lands at approximately 5:15 PM.

C: Based on the graph, all three rockets are in the air between approximately 5:10 PM and 5:25 PM, so the approximate interval during which all three rockets are in the air is 15 minutes.

Therefore,  spends an additional 6 seconds in the air before landing. The vertical shape of the graph will depend on the specifics of the rocket's launch and trajectory.

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