4. An airplane descends at a rate of 1,400 feet per minute. Once the airplane starts its descent, what will be its change in elevation after 4 minutes? ​

If David can unload a delivery truck in 20 minutes. Allie can unload the same truck in 35 minutes. If they work together, the time it will take to unload the truck  is: 15.56 minutes .

Since David can unload the truck in 20 minutes or 1/20 of the job, in just one minute. Similar to Allie she can finish 1/35 of the task in under one minute.

Both of them will collectively finish a portion of the work in one minute that is equal to the sum of their individual rates:

1/20 + 1/35

= 9/140

Together they will unload the vehicle in the following locations:

1 / (9/140)

= 15.56 minutes

Therefore the time is  15.56 minutes .

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Answer:

Size 9

Step-by-step explanation:

The range is the highest value - the lowest value.

If the range is three, therefore the highest value - lowest value is 3

If 2 people in the family wear size 6, we can count that as 1 value. Since the question says that his shoe size can't be 3, so we let x be the number with the higher value.

x - 6 = 3

x = 9

Therefore Lee's shoe size is 9

The observed proportion of correct diagnoses in a random sample of mechanics is not necessarily the same as the MLE, as the MLE involves a more formal estimation procedure that considers the underlying probability distribution and maximizes the likelihood function based on the observed data.

The Maximum Likelihood Estimation (MLE) and the observed proportion of correct diagnoses in a random sample of mechanics are related concepts but not the same.

The MLE is a statistical method used to estimate the parameters of a probability distribution based on observed data. It seeks to find the parameter values that maximize the likelihood of observing the given data. In the case of a binomial distribution, which could be used to model the number of correct diagnoses, the parameter of interest is the probability of success (correct diagnosis) for each trial (mechanic).

In this context, if we have a random sample of 20 mechanics and observe that 15 of them made correct diagnoses, we can calculate the observed proportion of correct diagnoses as 15/20 = 0.75.

While the observed proportion can be considered an estimate of the underlying probability of success, it is not necessarily the same as the MLE. The MLE would involve maximizing the likelihood function, taking into account the specific assumptions and model chosen to represent the data. The MLE estimate may or may not coincide with the observed proportion, depending on the distributional assumptions and the specific form of the likelihood function.

In summary, the observed proportion of correct diagnoses in a random sample of mechanics is not necessarily the same as the MLE, as the MLE involves a more formal estimation procedure that considers the underlying probability distribution and maximizes the likelihood function based on the observed data.

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Answer:

to find x u will do : 61+132+x=1290

x=1290-193

x=1097

Graphing the two parabolas y=x² and y=-x² in the same coordinate plane can be done in a few steps.

Step 1: Plotting the Points To plot the points, you can take values of x and then find the corresponding value of y. You can use a table to list down the values of x and y. For example, For x = -2, y = 4 (y=x²) For x = -2, y = -4 (y=-x²) Similarly, you can calculate more values of x and y and plot them. The plotted points should look like this: Step 2: Drawing the Parabolas can be drawn by connecting the plotted points with a smooth curve. You can use a ruler or freehand drawing to draw the curves. Once you have drawn the parabolas, it should look like this: Step 3: Finding the Equations of the Two Lines Simultaneously Tangent to Both Parabolas.

To find the equations of the two lines simultaneously tangent to both parabolas, you can use the following steps: Step 3a: Differentiating the Parabolas To find the equations of the tangent lines, you need to differentiate the parabolas. y = x²  dy/dx = 2x y = -x²+2x-5  dy/dx = -2x+2 Step 3b: Equating the Slopes Equate the slopes of the tangent lines to the slopes of the parabolas. 2m = 2x - 0 (for y = x²) 2m = -2x + 2 (for y = -x²+2x-5) Solve for x by equating the two equations. 2x = -2x + 2 4x = 2 x = 0.5Step 3c: Finding the y-Coordinate of the Points of Tangency Substitute x = 0.5 in the equation of the parabolas to find the y-coordinate of the points of tangency. y = x² y = 0.25 y = -x²+2x-5 y = -5.25Step 3d: Finding the Equations of the Lines Use the point-slope formula to find the equations of the lines. y - y₁ = m(x - x₁) y - 0.25 = 1(x - 0.5) y = x - 0.25 y - (-5.25) = -1(x - 0.5) y = -x - 4.75 The equations of the two lines simultaneously tangent to both parabolas are y = x - 0.25 and y = -x - 4.75.

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Answer:

7 cents per centimeter

Step-by-step explanation:

The third term in the expansion of (x + 2)^6 is 60x^4.

To find the third term in the expansion of (x + 2)^6, we need to use the Binomial Theorem:

(x + 2)^6 = C(6,0)x^6(2)^0 + C(6,1)x^5(2)^1 + C(6,2)x^4(2)^2 + ...

where C(n,r) denotes the binomial coefficient "n choose r", which is equal to n!/((n-r)!r!), and is used to calculate the number of ways to choose r items from a set of n items.

The third term in the expansion corresponds to the coefficient of the term x^4, which is obtained from the second term in the expansion:

C(6,2)x^4(2)^2 = 15x^4(4) = 60x^4

Therefore, the third term in the expansion of (x + 2)^6 is 60x^4.

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Answer:

Step-by-step explanation:

How many minutes did Betty practice?:

36 x 7=252

How many minutes in all did Jake and Betty practice?:

252+36=288

Equation:

1:7

The equations can be modeled as:

Betty = 252 minutes

Jake + Betty = 288 minutes.

Two or more expressions with an equal sign are defined as an equation.

Given that, Jake practiced piano for 36 minutes and Betty practiced for 7 times as long as Jake.

Therefore, Betty practiced for:

36 × 7 minutes

= 252 minutes.

The total time of practice is:

252 + 36

= 288 minutes.

The equations can be modeled as:

Betty = 252 minutes

Jake + Betty = 288 minutes.

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The function y=x²+5x-6 has a minimum value. All real numbers are included in the function's domain. The function has a range of y ≤ 12.25, the correct option is (c).

The parabola has a minimum value and widens upwards since the x² term's coefficient is positive.

To find the minimum value, we can use the formula for the x-coordinate of the vertex:

x=-b/2a=-5/(2 × 1)=-2.5.

Plugging this value into the equation, we get

y=(-2.5)²+5(-2.5)-6=-12.25.

Therefore, the function has a minimum value of -12.25.

The function is a polynomial, which means it is defined for all real numbers.

Since the function has a minimum value of -12.25, the range of the function is all real numbers less than or equal to -12.25, i.e., {y ≤ 12.25}.

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The complete question is:

Consider the equation y=x^(2)+5x-6. Determine whether the function has a maximum or minimum value. State the maximum or minimum value. What are the domain and range of the function

a. minimum; 0; D: (all real numbers); R: {all real numbers}

b. maximum; 0; D (all real numbers); R: {y <-0}

c. minimum; -12.25; D (all real numbers); R: {y <-12.25}

d. maximum; -12.25; D {x <- 2.5}; R: {all real numbers}

Answer:

7 is the answer

Step-by-step explanation:

The probability of correctly rejecting the null hypothesis when the null hypothesis is false is the power

From the question, we have the following highlights

The statement that represents the probability of the above highlights is power

Hence, the statement that completes the blank is power

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Answer:

2x^2 + 3x + 16

Step-by-step explanation:

fill it in like this 3 (x + 5) + 2x²- 3x + 4

then solve

The type of variable that represents the names of the automobile manufacturers would be the categorical variable.

A variable is defined as the quantity that may change within the context of a mathematical problem, research work or an experiment.

There are various types of variables that include the following:

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Answer:

x= 35

Step-by-step explanation:

Cos x = Sin( 20+x)

 Sin ( 90 – x) = Sin(20+x)

 90 – x = 20+x  

 2x = 70  

 x = 35  

Answer:

Tissue

Step-by-step explanation:

Forgive me if I'm wrong but I'm 90 percent sure I'm not.

Happy almost Halloween!!

A. The coefficient of x^4y^{12} in the expansion of (-4x+2y)^{16} is -8192.

B. The coefficient of x^4y^8z^7 in the expansion of (-4x+2y-1z)^{19} is -134217728.

For the first question, we can use the binomial theorem to expand the expression. The binomial theorem states that

(a+b)^n = C(n,0)a^nb^0 + C(n,1)a^{n-1}b^1 + C(n,2)a^{n-2}b^2 + ... + C(n,n)a^0b^n

Where C(n,k) = n!/(k!(n-k)!)

Applying this to the given expression, we get:

(-4x+2y)^{16} = C(16,0)(-4x)^{16}(2y)^0 + C(16,1)(-4x)^{15}(2y)^1 + C(16,2)(-4x)^{14}(2y)^2 + ... + C(16,16)(-4x)^0(2y)^16

The coefficient of x^4y^{12} is the coefficient of the term -4x^42y^{12} in this expansion, which is

C(16,4)(-4)^42^{12} = C(16,4)(-256)4096 = C(16,4)(-256)*4096 = -8192

For the second question, the same logic can be applied to:

(-4x+2y-1z)^{19} = C(19,0)(-4x)^{19}(2y)^0(-1z)^0 + C(19,1)(-4x)^{18}(2y)^1(-1z)^0 + C(19,2)(-4x)^{17}(2y)^2(-1z)^1 + ... + C(19,19)(-4x)^0(2y)^0(-1z)^19

The coefficient of x^4y^8z^7 is the coefficient of the term -4x^42y^8(-1z)^7 in this expansion, which is C(19,4)(-4)^42^8*(-1)^7 = C(19,4)256256*-1 = -134217728

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Answer:

The probability would be 2/6

Step-by-step

there are 6 marbles in all

2 of them are red

2 out of the 6 are red

making the fraction 2/3 (or 1/3)

hope this helped!

Answer:

1/3.

Step-by-step explanation:

There are 2 red marbles out of a total of  6 marbles in the jar.

Probability of selecting a red marble = 2/6 = 1/3..

Answer:

5 + 3x = 41

x = 12 miles

Step-by-step explanation:

A taxi cab company charges a flat amount of $5.00 plus a rate of $3.00 per mile traveled.

Let x is the number of miles traveled.

If the total cost of the fare was $41.00 then

5 + 3x = 41     eq. 1

The above equation can be used to determine the number of miles traveled.

Solving the equation for x,

5 + 3x = 41

3x = 41 - 5

3x =  36

x = 36/3

x = 12 miles

Therefore, 12 is the total number of miles traveled if the fare was $41.00.

Answer:

In the interval (-∞, -5)

Step-by-step explanation:

Average rate of change of any graph is represented by the slope of the function in the given interval.

Rate of change =

= change in the y-coordinates

= change in the x-coordinates

If  = 0, then the rate of change will be zero in that interval

From the graph attached,

From x = -∞ to x = -5, we find a flat line, showing

Therefore, average rate of change of h(x) in the interval (-∞, -5) is zero

Answer:

t

Step-by-step explanation:

djjwnzbsiwnnkwnxojex

Answer:

\(90 {cm}^{2} \)

Step-by-step explanation:

First we have to split the entire shape into smaller pieces. We see two triangles and 3 rectangles.

\(area \: of \: tringle = \frac{1}{2} base \times height\)

The base of the triangle is 3 and the height is 4

\( \frac{1}{2} (3) \times 4 = 6 \)

we then multiply 6 by 2 because there are two triangles and both of them are equal (have the same measurement): 《6 x 2 = 12 cm^2》

\(area \: \: of \: rectangle = length \times width\)

Therefore the area of the rectangle on the side would be: 《6 x 5 = 30》. It would also be multiplied by two because there are two rectangles at the side (both being equal) :《30 x 2 = 60 cm^2》

There is also a rectangle at the base of the shape, we use the same formula to find its area: 《6 x 3 = 18 cm^2》

We now add all of the areas that we got for the shapes: 12 + 60 + 18 = 90

Answer:

Step-by-step explanation:

Figure it out yourself

Factorial notation is used to represent the product of a series of descending positive integers, and is denoted by an exclamation mark.

For example, 5! represents 5 x 4 x 3 x 2 x 1, which equals 120. If the study involves counting the number of ways a certain group of items can be arranged, factorial notation may be used to express the total number of possible arrangements. However, without knowing the specifics of Dr. Elder's study, it is impossible to provide the correct factorial notation. Therefore, I would recommend providing more details about the study in order to receive a more accurate answer.

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Therefore, Caleb paid approximately $14,067.90 for the shares.

Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.

Selling price = 130% of the amount paid

$18,189.27 = 1.3 * x

To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:

x = $18,189.27 / 1.3

Calculating this, we find:

x ≈ $14,067.90

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Answer:

5 feet each

Step-by-step explanation:

So we know that 4 pieces of rope out of 5 are equal. So, we simply subtract 10 from 30 for that 10-foot piece of rope, which leaves us with 20. Divide 20 by 4 (since there is 4 pieces of rope of equal value) and it leaves us with 5 feet.

Hope I helped! :)

Answer:

1152 in ^ 3

Step-by-step explanation:

We know that the width is:

w = 4 in

They also tell us that the length is three times the width, therefore:

l = 3 * w

l = 3 * 4 = 12

l = 12 in

and as for the height, they tell us that it is twice the length, so:

h = 2 * l

h = 2 * 12 = 24

h = 24 in

now the volume is w * l * h, replacing:

v = 4 * 12 * 24

v = 1152

volume equals 1152 in ^ 3

2-1. a) The shear stress τ is constant across the flow. b) The velocity is maximum at the center (r = 0) and decreases linearly as the radial distance increases. c)v_max = (P₁ - P₂) / (4μL) * \(R^{2}\) and v_avg = (1 / (π(\(R^{2} -a^{2}\)))) * ∫[a to R] v * 2πr dr 2-2.a) The shear stress is constant for parallel plates. b) The velocity profile shows that the velocity is maximum at the centerline and decreases parabolically .c)v_max = (P₁ - P₂) / (2μh) and v_avg = (1 / (2h)) * ∫[-h to h] v dr.

2-1. Flow in an annular region between concentric cylinders:

(a) Shear stress profile:

In an incompressible fluid flow between concentric cylinders, the shear stress τ varies with radial distance r. The shear stress profile can be obtained using the Navier-Stokes equation:

τ = μ(dv/dr)

where τ is the shear stress, μ is the dynamic viscosity, v is the velocity of the fluid, and r is the radial distance.

Since the flow is at steady state, the velocity profile is independent of time. Therefore, dv/dr = 0, and the shear stress τ is constant across the flow.

(b) Velocity profile:

To determine the velocity profile in the annular region, we can use the Hagen-Poiseuille equation for flow between concentric cylinders:

v = (P₁ - P₂) / (4μL) * (\(R^{2} -r^{2}\))

where v is the velocity of the fluid, P₁ and P₂ are the pressures at the outer and inner cylinders respectively, μ is the dynamic viscosity, L is the length of the cylinders, R is the outer radius, and r is the radial distance.

The velocity profile shows that the velocity is maximum at the center (r = 0) and decreases linearly as the radial distance increases, reaching zero at the outer cylinder (r = R).

(c) Maximum and average velocities:

The maximum velocity occurs at the center (r = 0) and is given by:

v_max = (P₁ - P₂) / (4μL) * \(R^{2}\)

The average velocity can be obtained by integrating the velocity profile and dividing by the cross-sectional area:

v_avg = (1 / (π(\(R^{2} -a^{2}\)))) * ∫[a to R] v * 2πr dr

where a is the inner radius of the annular region.

2-2. The flow between parallel plates:

(a) Shear stress profile:

For flow between very wide or broad parallel plates, the shear stress profile can be obtained using the Navier-Stokes equation as mentioned in problem 2-1. The shear stress τ is constant across the flow.

(b) Velocity profile:

The velocity profile for flow between parallel plates can be obtained using the Hagen-Poiseuille equation, modified for this geometry:

v = (P₁ - P₂) / (2μh) * (1 - (\(r^{2} /h^{2}\)))

where v is the velocity of the fluid, P₁ and P₂ are the pressures at the top and bottom plates respectively, μ is the dynamic viscosity, h is the distance between the plates, and r is the radial distance from the centerline.

The velocity profile shows that the velocity is maximum at the centerline (r = 0) and decreases parabolically as the radial distance increases, reaching zero at the plates (r = ±h).

(c) Maximum and average velocities:

The maximum velocity occurs at the centerline (r = 0) and is given by:

v_max = (P₁ - P₂) / (2μh)

The average velocity can be obtained by integrating the velocity profile and dividing by the distance between the plates:

v_avg = (1 / (2h)) * ∫[-h to h] v dr

These formulas can be used to calculate the shear stress profile, velocity profile, and maximum/average velocities for the given geometries.

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