Twice a certain number is tripled . The resulting number is

The partial derivatives of the function f(x, y) = xy * e(-5y) are:

fₓ(x, y) = ye(-5y)

fᵧ(x, y) = -5xy * e(-5y)

fₓᵧ(x, y) = ye(-5y)

fᵧₓ(x, y) = xe(-5y) + ye(-10y)

To find the partial derivatives, we differentiate the function f(x, y) with respect to each variable individually while treating the other variable as a constant.

The partial derivative fₓ represents the rate of change of f with respect to x. In this case, differentiating xy with respect to x gives y, and e(-5y) remains unchanged.

The partial derivative fᵧ represents the rate of change of f with respect to y. We differentiate xy with respect to y, which gives x, and then multiply it by the derivative of e(-5y), which is -5e(-5y).

The mixed partial derivatives fₓᵧ and fᵧₓ represent the second-order derivatives, indicating the rate of change of the partial derivatives with respect to the other variable. Since the function f(x, y) is well-behaved, the mixed partial derivatives are equal.

Hence, fₓᵧ = fᵧₓ = ye(-5y).

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The complete question is:

What are the partial derivatives of the function f(x, y) = xye(-5y)?

fₓ(x, y) = ∂/∂x (xye(-5y))

f_y(x, y) = ∂/∂y (xye(-5y))

fₓy(x, y) = ∂²/∂x∂y (xye(-5y))

f_yₓ(x, y) = ∂²/∂y∂x (xye(-5y))

The 5-number summary are:

Th box plot suggests that the values in the dataset are close to the median and there are no extreme outliers.

To know 5-number summary, we will sort the data in ascending order:

\(0.598, 0.751, 0.752, 0.766, 0.771, 0.820\)

The 5-number summary consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3) and maximum.

To create a box plot, we represent these values on a number line. We draw a box between Q1 and Q3, with a vertical line at the median. Then, we extend lines (whiskers) from the box to the minimum and maximum values.

0.598 0.752 0.766 0.771 0.820

|---------|---------|---------|---------|

|-------------------|

Median

The variability of the data around the median. The data exhibits relatively low variability around the median. The range between the first quartile (Q1) and third quartile (Q3) is narrow, indicating that the middle 50% of the data is tightly grouped together.

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Answer:

3/8

Step-by-step explanation:

Total = 8

Probability of blue: 1/8

Probabiity of white: 2/8

Probbility of blue AND white:

1/8 + 2/8

3/8

Answer:

3/8

Step-by-step explanation:

because there are 3 possbile places the spinner can go, and that there are 8 sections, the answer is 3/8

We need to compare the cash flows of machines A and B using the concept of Capital Cost (CC) analysis and a minimum acceptable rate of return (MARR) of 10%.

For machine A, the CC is not provided in the question. To determine the CC for machine A, we need additional information such as the initial investment cost and the expected cash inflows and outflows over the machine's useful life. Similarly, for machine B, the CC is not provided in the question.

We need additional information about the initial investment cost and the expected cash inflows and outflows over the machine's useful life to calculate the CC for machine B. Without the CC values, we cannot determine which machine to select based on CC analysis. To make a decision, we need more information.

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Answer:

It is the representative of the whole group

Step-by-step explanation:

Mean is the only one out of mode, median , mean or range that actually implies all the values in the data.

Hope this helps.

Good Luck

The coordinates after the translation (x,y) -> (x + 2, y - 6).

A'(-1, -8), B'(2, -3), C'(7, 0), D'(4, -5).

The translation in the context of this problem is defined as follows:

(x,y) -> (x + 2, y - 6).

The meaning of each transformation is given as follows:

Hence the effect on the coordinates of each vertex is given as follows:

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Answer:

Agriculture is the cultivation of land and breeding of animals and plants to provide food, fiber, medicinal plants and other products to sustain and enhance life

Answer:

Agriculture is the cultivation of land and breeding of animals and plants to provide food, fiber, medicinal plants and other products to sustain and enhance life

1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.

  The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.

  Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word

  Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.

  Probability of choosing AA = Number of favorable outcomes / Total number of outcomes

  Probability of choosing AA = 0 / 30 = 0.

Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

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Answer: 9 divided by 6=9/6 feet

Step-by-step explanation:

That's if you are on imagine math

Answer:

-2

Step-by-step explanation:

7-3/2-4=-2

use slope formula

The equation of line passes through the points (4, 3) and (2, 7) will be;

⇒ y = - 2x + 11

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 3) and (2, 7)

Now,

Since, The equation of line passes through the points (4, 3) and (2, 7)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 3) / (2 - 4)

m = 4 / -2

m = - 2

Thus, The equation of line with slope - 2 is,

⇒ y - 3 = - 2 (x - 4)

⇒ y - 3 = - 2x + 8

⇒ y = - 2x + 11

Therefore, The equation of line passes through the points (4, 3) and

(2, 7) will be;

⇒ y = - 2x + 11

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Yes, the set is a subspace of Ps.

- The zero vector of P8 is the polynomial with all coefficients equal to zero, which clearly has rational coefficients. Therefore, it is in the given set.
- The set is closed under vector addition because if you add two polynomials with rational coefficients, the resulting polynomial also has rational coefficients.
- The set is closed under multiplication by scalars because if you multiply a rational number (which is a scalar) by a polynomial with rational coefficients, the resulting polynomial still has rational coefficients.

Since the set contains the zero vector, is closed under vector addition, and is closed under multiplication by scalars, it meets all the criteria for being a subspace of Ps.

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The population of Melonville follows a population growth, and the population of Melonville in 1993 is 201

Let the population in 1991 be x².

The 1992 population is

P₂ = y² + 1 = x² + 100

This means that:

x² + 100 = y² + 1

Rewrite as:

y² - x² = 100 - 1

y² - x² = 99

Express as difference of two squares

(y - x)(y + x) = 99

Express 99 as 9 * 11

(y - x)(y + x) = 9 * 11

Rewrite as:

(y - x)(y + x) = (10 - 1) * (10 + 1)

By comparison, we have:

y = 10 and x = 1

So, the populations are:

P₁ = x² --- 1991

P₂ = x² + 100 --- 1992

P₃ = x² +100 +100 --- 1993

Substitute 1 for x

P₃ = 1² +100 +100

Evaluate

P₃ = 201

Hence, the population of Melonville in 1993 is 201

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Answer:

dont listen to person above me . it's a scam

The assumption which is not true for multiple linear regression is that there will be a multi-collinearity effect. What is multiple linear regression? Multiple linear regression is a regression method where the response variable is dependent on more than one independent variable. Multiple linear regression is an extension of linear regression, where one response variable is dependent on one independent variable. It helps to determine the nature of the relationship between dependent variables and independent variables in the form of linear equations. It is used to find out the relationship between variables and make predictions based on that relationship. Assumptions of multiple linear regression1. Linearity, It is assumed that the relationship between the independent variables and dependent variables is linear. This implies that as the value of the independent variable changes, the change in the dependent variable is constant.2. Independence, There should be independence among the observations. This implies that there should not be any relationship between the residuals of the observations.3. Homoscedasticity implies that the variance of residuals should remain constant across all levels of the independent variable.4. Multicollinearity, It is the condition where the independent variables are highly correlated with each other. If there is perfect collinearity, it will not be possible to obtain the estimates of regression coefficients.5. Normality, The residuals should follow a normal distribution with mean zero and constant variance. The residuals should be normally distributed and centered on zero. The assumptions that are true for multiple linear regression are: The independent variables are not correlated. The residuals are normally distributed. The relationship between dependent and independent variables is linear. The assumption which is not true for multiple linear regression is that there will be a multi-collinearity effect. Hence, the correct option is D) There will be a multi-collinearity effect.

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Answer:

D(h) = 55h - 2000

1670 m

Step-by-step explanation:

Given :

Starting elevation, D = - 2000 m (2000 m below sea level)

Rate, h = 55 m per hour.

The slope - intercept relation :

y = mx + c

m = slope = rate of change

c = intercept

In the scenario given :

-2000 = intercept

55 = rate of change

D(h) = 55h - 2000

After 6 hours :

D(6) = 55(6) - 2000

D(6) = - 1670 m

Answer:

A) f(x) = x^2 +8(x+2)

Step-by-step explanation:

We will start by putting y=0

0 = x^2+8(x+2) -Apply distributive property

0 = x^2+8x+16

0=(x+4)(x+4)

0=x+4, 0=x+4

x=-4

There is only one zero, and that is x=-4

Brainiest would be appreciated.

First one

Because

If we solve for x

Option A

Answer:

The correct option is;

LeftAngleBracket negative 16, 14 RightAngleBracket which is \(\left \langle -16, 14 \right \rangle\)

Step-by-step explanation:

The given coordinates of the points are;

The starting point, Q(23, 48) and the final point, R(7, 62)

Therefore, we have;

The x component = The x-value of R - The x-value of R = 7 - 23 = -16

The y component = The y-value of R - The y-value of R = 62 - 48 = 14

Therefore, the component form of the vector QR = \(\left \langle -16, 14 \right \rangle\)

Answer:

B on Edg.

Step-by-step explanation:

Yay

Answer:

∠XZW = 95°

Step-by-step explanation:

∠YXZ = 180 - 150

∠YXZ = 30°

∠XZY = 180 - (30+65)

∠XZY = 180 - 95

∠XZY = 85°

∠XZW = 180 - 85

∠XZW = 95°

Mr. Davis' granola snacks will last for 20 days.

What is division ?

Division is a basic arithmetic operation used to find the quotient or the number of times one quantity is contained within another. In division, a dividend is divided by a divisor, and the result is the quotient. For example, 12 divided by 3 is 4, where 12 is the dividend, 3 is the divisor, and 4 is the quotient.

Division is the inverse operation of multiplication. If you know the multiplication facts, you can use them to help you divide numbers. For instance, if you know that 5 times 6 equals 30, then you also know that 30 divided by 5 equals 6, and that 30 divided by 6 equals 5.

According to given conditions:

To find out how many days Mr. Davis' granola snacks will last, we need to divide the total amount of granola by the amount he eats each day.

Let's say Mr. Davis made 10 lbs of granola snacks.

He eats 0.5 lb each day.

So we can use the formula:

Number of days = Total amount of granola / Amount eaten each day

Number of days = 10 lbs / 0.5 lb per day

Number of days = 20 days

Therefore, Mr. Davis' granola snacks will last for 20 days.

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Answer:

There is no solution since the result ends up being 0=2

Answer:

Hey there. Heres ur answer

Fifth degree polynomials are also known as quintic polynomials. Quintics have these characteristics:

One to five roots.

Zero to four extrema.

One to three inflection points.

Answer:

142.86 miles

Step-by-step explanation:

150 + .35m < 200

150 + .35m -150 < 200-150

.35m < 50

.35m/35 < 50/.35

m < 142.86

The maximum distance I can drive the rv in a day if my budget $200 is, approx. 142 miles

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The cost to rent an rv is $150 per day +  $0.35 per mile

The maximum distance in a day = ?

Budget is $200

So,

The maximum distance in a day ≤ 200

The maximum distance in a day = 150 + 0.35x

Now,

⇒  150 + 0.35x  ≤ 200

⇒   0.35x  ≤ 200 - 150

⇒      x ≤ 142.85

Hence, maximum distance in a day is approx. 142 miles

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Step-by-step explanation:

sin2x - sinx = 0

2sinxcosx - sinx = 0

(Double Angle Formula)

sinx(2cosx - 1) = 0

Either sinx = 0 or cosx = 1/2.

When sinx = 0,

x = 0 or x = π.

When cosx = 1/2,

x = π/3 or x = 5π/3.

Hence the solutions are

x = 0, x = π/3, x = π or x = 5π/3.

The plot of y(t) will show how the mass oscillates with time, starting from the equilibrium position and gradually coming to rest due to the damping effect of the friction.

The given equation represents the motion of a mass connected to a spring with viscous friction. To plot the displacement, y(t), we need to solve the differential equation. With initial conditions y(0) = 0, we can find the solution using the Laplace transform. After solving the equation, we can plot y(t) for t < 0 and t ≥ 0 separately. For t < 0, the applied force, f(t), is zero, so the mass will not experience any external force and will remain at rest. For t ≥ 0, the applied force is 10, and the mass will respond to this force and undergo oscillatory motion around the equilibrium position.

To solve the given differential equation, we can start by finding the characteristic equation by setting the coefficients of y, its derivative, and its second derivative to zero:

s^2 + 18s + 102 = 0.

Solving this quadratic equation gives us the roots s1 = -3 + 3i and s2 = -3 - 3i. These complex roots indicate that the mass will undergo damped oscillations.

Using the Laplace transform, we can solve the differential equation and obtain the expression for Y(s), the Laplace transform of y(t):

(s^2 + 18s + 102)Y(s) = F(s),

where F(s) is the Laplace transform of f(t). Since f(t) = 10 for t ≥ 0, its Laplace transform is F(s) = 10/s.

Solving for Y(s) gives us:

Y(s) = 10 / [(s^2 + 18s + 102)].

To find y(t), we need to inverse Laplace transform Y(s). Using partial fraction decomposition, we can express Y(s) as:

Y(s) = A / (s - s1) + B / (s - s2),

where A and B are constants to be determined. After finding A and B, we can inverse Laplace transform Y(s) to obtain y(t).

With the given initial condition y(0) = 0, we can solve for A and B by setting up equations using the initial value theorem:

A / (s1 - s1) + B / (s1 - s2) = 0,

A / (s2 - s1) + B / (s2 - s2) = 0.

Solving these equations will give us the values of A and B. Finally, we can substitute these values back into the inverse Laplace transform of Y(s) to obtain y(t).

For t < 0, since the applied force f(t) is zero, the mass will not experience any external force. Therefore, y(t) will remain at its initial position, y(0) = 0.

For t ≥ 0, the applied force f(t) is 10, and the mass will respond to this force and undergo oscillatory motion around the equilibrium position. The displacement, y(t), will depend on the properties of the mass, the spring, and the viscous friction. The plot of y(t) will show how the mass oscillates with time, starting from the equilibrium position and gradually coming to rest due to the damping effect of the friction.

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Answer:

95°

Step-by-step explanation:

It's a pattern:

135,95,135,135,115,95

The pattern is... 135, (95) then two more 135's then 115 then the pattern restarts.

I hope this helps!

Answer:

18x18 cm

Step-by-step explanation:

This problem translates to the greatest common factor (GCF) of 72 and 90, which is 18.

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Then the greatest common factor is 18.

4x18 = 72

5x18 = 90

so with 4x5=20 pieces of paper, the boy can be covered. (Boy?)

In conclusion  62 inches is equal to 157.48 centimeters (rounded to the nearest tenth).

How to solve?

Part 1 of 2:

The first method to convert 62 inches to centimeters involves using the conversion factor of 1 inch equals 2.54 centimeters. We can set up a proportion to solve for the number of centimeters in 62 inches:

1 in. x cm

----- = -----

2.54 62 in.

To solve for x, we can cross-multiply and simplify:

1 × x = 2.54 × 62

x = 157.48

Therefore, 62 inches is equal to 157.48 centimeters (rounded to the nearest tenth).

So the first method gives us 157.5 cm as the answer.

Part 2 of 2:

The second method to convert 62 inches to centimeters involves multiplying 62 by the conversion factor of 2.54 centimeters per inch:

62 in. × 2.54 cm/in = 157.48 cm

Therefore, using this method, we also get 157.5 cm as the answer (rounded to the nearest tenth).

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Answer:

15mph

Step-by-step explanation:

So to figure this out you have to get the total unit rate by dividing 30 and 2 which in total gives you 15

So congratulations you can ride 15 miles per hour :)

Answer:15 mph

Step-by-step explanation:

Answer:

The area of a circle with a circumference that equals the perimeter of the square is 9.62 units²

Step-by-step explanation:

The first thing we must do is find the perimeter of the square. In the problem, we are given that one of the side measurements of the square is 2.75 units. In order to find the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.

2.75 × 4 = 11

So, the perimeter of the square is 11 units. This number will also be the number for the circumference of the circle as mentioned in the problem. So, the circumference of the circle is 11 units. Now, we must find the radius of the circle so we can find the area. Let's use the formula for finding radius given the circumference.

\(Radius = \frac{circumference}{2\pi}\)

Now, let;s plug in 11 for the circumference because our circumference is 11 units.

\(Radius=\frac{11}{2\pi}\)

Multiply 2 by pi. We will use 3.14 in replacement of pi.

\(Radius=\frac{11}{6.28}\)

Now, divide.

\(Radius=1.75\)

So, our radius is 1.75 units. We can know use this number to find the area of the circle.

\(Area=r^2\pi\)

Plug in 1.75 for the radius.

\(Area=(1.75)^2\pi\)

Simplify the exponent.

\(Area=(3.0625)\pi\)

Multiply the numbers.

\(Area=9.61625\)

Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.

9.61625 = 9.62

So, the area of the circle is 9.62 units²

Answer:

9.62

Step-by-step explanation:

Got it on the test