Different-sized engines will launch model rockets to different altitudes. The higher a rocket goes, the larger the circle of possible landing sites becomes. Under normal wind conditions, the landing radius is three times the altitude of the rocket.

(b) What would be the radius of the landing circle for a rocket that travels 1000 feet in the air? Assume the center of the circle is at the origin.

Answer:

7 W + 4w - 6

Step-by-step explanation:

Answer:

-60

Step-by-step explanation:

h(x)=-7x-11

h(7)=-7(7)-11

h(7)=-49-11

h(7)=-60

Answer:

-60

Step-by-step explanation:

-7x7= -49

-49-11= -60

Answer:

Step-by-step explanation:

I can't see anything.

Answer: x = 36

Step-by-step explanation:

A Linear equation can have one, zero, or infinite solutions. There is no line on a flat plane that can intersect the x axis five times.

That being said, the true solution to this equation is x = 36

Probability that exactly 8 online bankers have not profited from insider information is C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8).

Using the binomial distribution formula and rounding to four decimal places, we can calculate these probabilities and expected values.

To solve these probability problems, we can use the binomial distribution formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

where:

P(x) is the probability of x successes,

C(n, x) is the number of combinations of n items taken x at a time,

p is the probability of success in one trial, and

n is the number of trials.

In this case, let's calculate the probabilities step by step:

Probability that exactly 8 online bankers have not profited from insider information:

n = 15 (number of trials), x = 8 (number of successes), p = 0.3 (probability of success)

P(8) = C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8)

Probability that at most 5 online bankers have profited from insider information:

P(x ≤ 5) = P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

= P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

Probability that not all selected online bankers have profited from insider information:

P(not all) = 1 - P(all)

Probability that more than 12 online bankers have profited from insider information:

P(x > 12) = P(13) + P(14) + P(15)

Expected number of online bankers who have profited from insider information:

E(x) = n * p

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Answer:

Step-by-step explanation:

Answer:

x=82.7

Step-by-step explanation:

3x+6-6=248

3x=248

x=82.7

Answer:

107.80$

Step-by-step explanation:

Answer:

I would wish to be the brainliest, I would wish for more points, and i would wish for more people to answer my questions

Step-by-step explanation:

thats only for brainly though

Answer:

My three wishes would be:

1: Get all staright A's

2: the sickness that starts with C thats going around goes away forever

3: Have some cheesecake.

Step-by-step explanation:

The matrix equation corresponding to the given system of equations is:

| 1  3   5 | | x |     | 12 |

|-2  1  -4 | | y |  =  |-2 |

| 7 -2   0 | | z |     |  7 |

To represent the system of equations in matrix form, we can arrange the coefficients of the variables and the constant terms into matrices.

The system of equations:

x + 3y + 5z = 12

-2x + y - 4z = -2

7x - 2y = 7

can be written in matrix equation form as:

AX = B,

where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.

The coefficient matrix A consists of the coefficients of the variables x, y, and z:

A = | 1  3   5 |

-2  1  -4 |

7 -2   0 |

The variable matrix X consists of the variables x, y, and z:

X = | x |

| y |

| z |

The constant matrix B consists of the constant terms on the right side of the equations:

B = | 12 |

|-2 |

| 7 |

Therefore, the matrix equation corresponding to the given system of equations is:

| 1  3   5 | | x |     | 12 |

|-2  1  -4 | | y |  =  |-2 |

| 7 -2   0 | | z |     |  7 |

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Answer:

5.) 48

6.) 60

It's the other half of the triangle.

The rate-of-change formula for tuition is t'(x) = 1347.752\(e^{(0.056x)}.\)

To find the rate of change formula for tuition, we need to take the derivative of the tuition function with respect to time (x):

t'(x) = d/dx [24,007\(e^{(0.056x)}\))]

Using the chain rule, we can simplify this to:

t'(x) = 24,007 \(\times\)d/dx [\(e^{(0.056x)}\)]

Next, we apply the derivative of the exponential function:

t'(x) = 24,007 \(\times\)0.056 \(\times\)\(e^{(0.056x)}\)

Simplifying further, we get:

t'(x) = 1347.752\(e^{(0.056x)}\)

Therefore, the rate-of-change formula for tuition is t'(x) =  1347.752\(e^{(0.056x)}.\)

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The rate-of-change formula for tuition is the derivative of the tuition function with respect to time, which is t'(x) = 1347.752e0.056x. This formula gives the rate at which tuition is changing with respect to time, or the instantaneous slope of the tuition function at any given point.

As x increases, the rate of change of tuition also increases, indicating a faster increase in tuition costs over time.
You are asked to find the rate-of-change formula for tuition, which is given by the derivative of the function t(x) = 24,007e^(0.056x). Here's the step-by-step explanation:

1. Identify the function: t(x) = 24,007e^(0.056x)

2. Find the derivative of the function with respect to x (rate-of-change formula). We will use the chain rule, where the derivative of e^(0.056x) with respect to x is e^(0.056x) times the derivative of (0.056x) with respect to x.

3. The derivative of (0.056x) with respect to x is 0.056.

4. Multiply the derivative of e^(0.056x) and the derivative of (0.056x) together:
e^(0.056x) * 0.056 = 0.056e^(0.056x)

5. Finally, multiply the constant 24,007 by the derivative we found in step 4:
24,007 * 0.056e^(0.056x) = 1,347.752e^(0.056x)

So, the rate-of-change formula for tuition, t'(x), is:

t'(x) = 1,347.752e^(0.056x)

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It would take the pedestrian 50 minutes to travel the same distance that the cyclist covered in 25 minutes, given that the pedestrian travels 2(2/5) times slower than the cyclist.

What is distance?

Distance is a numerical measurement of how far apart objects or points are. It is a scalar quantity that is typically measured in units such as meters, kilometers, miles, etc.

Let's assume that the distance traveled by the cyclist is "d" units. We know that the cyclist takes 25 minutes to cover this distance.

To find how long it would take for the pedestrian to travel the same distance, we need to first determine the speed of the cyclist. We can do this by using the formula:

Speed = Distance / Time

The time taken by the cyclist is 25 minutes, which is equal to 25/60 = 5/12 hours. Therefore, the speed of the cyclist is:

Speed of Cyclist = Distance / Time

= d / (5/12)

= 12d / 5

Now we know that the pedestrian travels 2(2/5) times slower than the cyclist. This means that the speed of the pedestrian is:

Speed of Pedestrian = (5/2) x (2/5) x Speed of Cyclist

= (5/2) x (2/5) x (12d/5)

= 6d/5

To find out how long it would take for the pedestrian to travel the distance "d" at this speed, we can use the formula:

Time = Distance / Speed

Time taken by the pedestrian = d / (6d/5)

= 5/6 hours

We can convert this to minutes by multiplying by 60:

Time taken by the pedestrian = (5/6) x 60

= 50 minutes

Therefore, it would take the pedestrian 50 minutes to travel the same distance that the cyclist covered in 25 minutes, given that the pedestrian travels 2(2/5) times slower than the cyclist.

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Samantha works at a nursery where sh pots plants. It takes her 1-1/2 hours to pot 12 plants. So, Samantha takes7.5 minutes to pot one plant.

Samantha takes 1-1/2 hours to pot 12 plants. To find out how long it takes her to pot one plant, we need to divide the total time taken by the number of plants potted.

There are a few steps we can take to simplify the calculation. First, we can convert 1-1/2 hours to a decimal by adding 1 to 1/2, which gives us 1.5 hours. Then, we can divide 1.5 hours by 12 plants to find the time it takes to pot one plant.

1-1/2 hours = 1.5 hours

Time taken to pot one plant = 1.5 hours / 12 plants

Time taken to pot one plant = 0.125 hours per plant

Finally, we can convert hours to minutes by multiplying by 60.

0.125 hours per plant = 7.5 minutes per plant

Therefore, it takes Samantha 7.5 minutes to pot one plant.

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Question:

Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in 1 hour? (Please give me the equation you used.)

When a ticket is bought, there are 2 outcomes. It's either it comes with a popcorn or not. These outcomes are independent. This means that it is a binomial distribution. We would apply the binomial ditribution formula which is expressed as

P(x) = nCx * p^x * q^(n - x)

where

n is the number of trials

x is the number of successess

p is the probability of success

q is the probability of failure

A success in this case is the outcome of buying a ticket that has popcorn coupons. Thus,

p = 0.717

q = 1 - p = 1 - 0.717 = 0.283

n = 21

x = 14

We want to find P(x = 14)

Thus,

P(x = 14) = 21C14 * 0.717^14 * 0.283^(21 - 14)

P(x = 14) = 116280 0* 0.717^14 * 0.2837

P(x = 14) = 0.160

the probabilitythat exactly 14 of the tickets have popcorn coupons is 0.160)

Answer:

9t + 8

Step-by-step explanation:

Step 1: Write expression

5 + 9t + 3

Step 2: Combine like terms (constants)

9t + 8

The probability of getting all heads when flipping a coin four times is 1/16.

(HHHH), (HHHT), (HHTH), (HHTT), (HTHH), (HTHT), (HTTH), (HTTT), (THHH), (THHT), (THTH), (THTT), (TTHH), (TTHT), (TTTH), (TTTT) are some examples of spaces.

There were 16 total outcomes.

Probability going out of control

HHHH P(A) = P(getting all heads) = 1/16

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Answer:

15

Step-by-step explanation:

m + 16 = 31

m = 31 - 16

m = 15

Answer:

m = 15

Step-by-step explanation:

15 + 16 = 31

The regression equation for predicting the height of girls at age 18 based on their height at age 2 is:

y ≈ 68.953 + 1.210x

The correlation coefficient illustrates how closely two variables are related to one another. This coefficient's range is from -1 to +1. This coefficient demonstrates the degree to which the observed data for two variables are significantly associated.

Based on the given information, we can use the linear regression model to predict the height of girls at age 18 based on their height at age 2. Here are the summary statistics:

n = 70 (sample size)

x = 87.25 (mean height at age 2 in cm)

y = 166.54 (mean height at age 18 in cm)

R = 0.664 (correlation coefficient)

S = 3.33 (standard deviation of height at age 2 in cm)

\(S_y\) = 6.07 (standard deviation of height at age 18 in cm)

To predict the height of girls at age 18 (y) based on their height at age 2 (x), we can use the regression equation:

y = a + bx

where a is the y-intercept (predicted height at age 18 when x = 0) and b is the slope of the regression line.

From the given information, we have the following values:

x = 87.25

y = 166.54

R = 0.664

Using these values, we can calculate the slope (b) of the regression line:

b = R * (\(S_y\) / S)

 = 0.664 * (6.07 / 3.33)

 ≈ 1.210

Next, we can calculate the y-intercept (a) using the formula:

a = y - b * x

 = 166.54 - 1.210 * 87.25

 ≈ 68.953

Therefore, the regression equation for predicting the height of girls at age 18 based on their height at age 2 is:

y ≈ 68.953 + 1.210x

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Answer:

This graph shows a function because no vertical line passes through more than one point on the graph.

Step-by-step explanation:

Answer:

\((x^{2} +5)^{2}\)

If the of respondents are identified as 1 for "yes" and 2 for "no" and 3 for "maybe" and 4 for "anything else" then , the data are considered at the nominal level of measurement .

The Level Of Measurement of a data set refers to the type of values that a variable can take and the properties that these values have.

In the survey , the respondents are identified as 1 for "yes," 2 for "no," 3 for "maybe," and 4 for "anything else."

These values are categorical, meaning they are names or labels for different categories. The data collected at this level is referred to as nominal level of measurement. This level of measurement is used when the variables are categorical and the order of the categories does not matter.

Therefore , the data collected in this survey is nominal and is used to describe categories or names, rather than numerical values.

The given question is incomplete , the complete question is

In a survey, the of respondents are identified as 1 for "yes" and 2 for "no" and 3 for "maybe" and 4 for "anything else" . the average (mean) is calculated for 665 respondents and the result is 1.5 ,

the data are at what level of measurement ?

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The value of tan A is equal to 4/3.

In order to determine the magnitude of tan A, we would apply the law of tangent because the given side lengths represent the adjacent side and opposite side of a right-angled triangle.

tan(θ) = Opp/Adj

Where:

Based on the information provided in the image, we can logically deduce the following parameters:

Adj = 3 units.

Opp = 4 units.

Substituting the parameters into the tangent ratio formula, we have the following;

TanA = 4/3

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Point (2,0) is the solution for the inequality y > -3x +2

Here we have,

y > -3x +2

The shaded area above the dotted line is the solution.

We are aware that

If a point is a solution to an inequality, then its coordinates must satisfy the inequality.

We will investigate all cases to find a solution to the problem.

A) Point (0,2)

   Here,

    x = 0

    y = 2

Verify the inequality by changing the values of x and y.

2 > -3 x 0 + 2

2 > 2

It is not correct.

Therefore the point is not to solve the inequality.

B) Point (2,0)

    Here

    x = 2

    y = 0

Verify the inequality by changing the values of x and y.

0 > -3 x 2 + 2

0 > -4

This is correct

Therefore the point is to solve the inequality.

Therefore point B is the solution.

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Time in Line to Buy Groceries is Quantitative-Discrete type of data. So the option C is correct.

We can observe data in a straightforward integer format or monitor quantitative discrete data in a real line at regular intervals.

We need to utilize an integer time point, which cannot be a decimal, to keep track of time while standing in line for groceries. It cannot be delivered in 2.45 days because a grocery store is unable to provide a delivery schedule in fractions.

The correct solution is therefore quantitative discrete.

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The complete question is:

Identify the type of data that would be used to describe a response.

Time in Line to Buy Groceries

A. Qualitative (Categorical)

B. Quantitative - Continuous

C. Quantitative - Discrete

Answer: are you asking us to answer it or is that the answer?

Step-by-step explanation:

Answer: Um, I don't understand how did you post your question with the ones that are linear relationship to its algebraic model in slope-intercept form.

Step-by-step explanation:

Answer:

Exponential decay

Step-by-step explanation:

The general form of an exponential function is

\(P=P_{0}a^t\), where P0 is the initial value, a is the base, and t is the exponent.

In your example, P0 is 1 and a is 4/5.

A function is experiencing exponential growth when a > 1.

A function is experiencing exponential decay when 0 < a < 1.

4/5 lies between 0 and 1, so the function is experiencing exponential decay.

Answer:

375in^2

Step-by-step explanation:

area of a trapezoid is base + base divded by 2 then times that by the height

20 + 30 = 50

50/2 + 25

25 x 15 = 375

Answer:

this probably isn't right, but with an educated guess it's probably the third answer.

Step-by-step explanation:

By using the synthetic division, the quotient is,  

3x^4 - 6x^3 + 15x^2 - 30x + 60.

What is synthetic division?

In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the method can be applied to division by any polynomial, it is typically taught for division by linear monic polynomials.

Given:  3x^5 + x^3 - 10 / x + 2

We have to find the synthetic division.

Consider,

                     3x^4 - 6x^3 + 15x^2 - 30x + 60

              \(\sqrt[x+2]{3x^5+x^3-10}\)

             -     3x^5 + 6x^4

__________________________

                            -6x^4 + x^3 - 10

                      -     -6x^4 - 12x^3

__________________________________

                                     15x^3 - 10

                           -        15x^3 + 30x^2

___________________________________

                                             -30x^2 - 10

                                   -        -30x^2 - 60x

________________________________________

                                                        60x - 10

                                               -        60x + 120

_______________________________________

                                                                -110

Hence, by using the synthetic division, the quotient is,

3x^4 - 6x^3 + 15x^2 - 30x + 60.

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Answer:

The 17th term of the given Arithmetic progression -6,-1,-4 will be 74.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

As per the given Arithmetic progression,

-6, -1, -4.

First term a = -6

Common difference d = -1 - (-6) = 5

The nth term of AP is given as a + (n - 1)d.

This 17th term will be as, -6 + (17 - 1)5

⇒ -6 + 16 × 5 = 74

Hence "The 17th term of the given Arithmetic progression -6,-1,-4 will be 74".

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