"
Suppose y^{\prime}=f(x, y)=\frac{x y}{cos (x)} a. \frac{\partial f}{\partial y}= help (formulas) b. Since the function f(x, y) is th the point (0,0) , the partial derivative dy
dy
​
at and near the point (0,0), the solution to y=f(x,y) near j(0)=0

The probability that the mean time for the sample of 40 observations will be between 54 and 56 minutes is 0.377.

To calculate the probability, we need to first find the mean and standard deviation of the sampling distribution of the sample mean. We are given that the population mean is 55 minutes and the population standard deviation is 2.5 minutes. Since we are sampling with replacement and the sample size is large (n = 40), we can assume that the sampling distribution is approximately normal by the central limit theorem.

The mean of the sampling distribution of the sample mean is equal to the population mean, which is 55 minutes. The standard deviation of the sampling distribution of the sample mean is equal to the population standard deviation divided by the square root of the sample size, which is 2.5 minutes / sqrt(40) = 0.3953 minutes.

Using the pnorm() function in R, we can find the probability that the mean time for the sample of 40 observations will be between 54 and 56 minutes.

pnorm(56, mean=55, sd=0.3953) - pnorm(54, mean=55, sd=0.3953)

The result is 0.377

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Therefore, the only solutions within the given interval are the values of x for which cos(x) = 0, namely \(x = (2k + 1)\pi/2,\) where k is any integer, and 0 < a < π.

To find all solutions of the equation cos(x)sin(x) - 2cos(x) = 0, we can factor out the common term cos(x) from the left-hand side:

cos(x)(sin(x) - 2) = 0

Now, we have two possibilities for the equation to be satisfied:

 cos(x) = 0In this case, x can take values of the form x = (2k + 1)π/2, where k is any integer.

 sin(x) - 2 = 0 Solving this equation for sin(x), we get sin(x) = 2. However, there are no solutions to this equation within the interval 0 < a < π, as the range of sin(x) is -1 to 1.

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Answer:

1)

surface area= πr² + πrl

π7² + π x 7 x 5.7

=49π + 39.9π

=88.9π

use this formula below for the rest

surface area= πr² + πrl

Answer:

B. 140 degrees

Step-by-step explanation:

Edge 2020

Answer:

\(4\sqrt{x+2} - 6\)

Step-by-step explanation:

f(g(7)) = f(sqrt(x+2))

=4(sqrtx+2) - 6)

= \(4\sqrt{x+2} - 6\)

Answer:

\((f \circ g)(7)=6\)

Step-by-step explanation:

Given functions:

\(\begin{cases}f(x)=4x-6\\g(x)=\sqrt{x+2}\end{cases}\)

(f o g)(x) is a composite function.  

Composite functions are when the output of one function is used as the input of another.

Therefore, the given composite function (f o g)(7) means to substitute the function g(x) when x=7 in place of the x in function f(x).

\(\begin{aligned}\implies (f \circ g)(7)&=f[g(7)]\\& = f(\sqrt{7+2})\\&=f(\sqrt{9})\\&=f(3)\\&=4(3)-6\\&=12-6\\&=6\end{aligned}\)

57.9 add 14 to the answer and you get your number

The equation involves both sin²(φ) and cos²(φ), as well as sin²(θ), which indicates that the surface has a more complex shape, possibly involving rotational symmetry.

To identify the surface whose equation is given as ρ²(sin²(φ) sin²(θ) + cos²(φ)) = 81, we can follow these steps:

Rewrite the equation
We have the equation: ρ²(sin²(φ) sin²(θ) + cos²(φ)) = 81

Isolate ρ²
We can rewrite the equation as: ρ² = 81 / (sin²(φ) sin²(θ) + cos²(φ))

Find ρ
Take the square root of both sides to find ρ: ρ = √(81 / (sin²(φ) sin²(θ) + cos²(φ)))

The given equation represents a surface in spherical coordinates (ρ, φ, θ). Since ρ (the radial distance) is expressed in terms of φ and θ, the surface is not a simple sphere or ellipsoid. The equation involves both sin²(φ) and cos²(φ), as well as sin²(θ), which indicates that the surface has a more complex shape, possibly involving rotational symmetry.

However, without further information, it's difficult to provide a specific name for this type of surface.

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Answer:

To find the area, you have to multiply the length times the width

Step-by-step explanation:

Answer:

The area of this rectangle is 6 square units.

Step-by-step explanation:

Multiply the width (8/3 inches) by the height (9/4 inches) to get the rectangle area:

 8       9

----- * -----

  3      4

                        8 * 9

This results in ----------    which itself reduces to 6.  

                          4 * 3

The area of this rectangle is 6.

Answer:

Increasing interval

Step-by-step explanation:

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Answer:

Multiply the first equation by 5 and the second equation by 2. Then add.

Multiply the first equation by 2 and the second equation by 5, then subtract.

Step-by-step explanation:

Given

\(- 2x + 5y = -15\)

\(5x + 2y = -6\)

Required

Steps to solve using elimination method

From the list of given options, option 2 and 3 are correct

This is shown below

Option 2

Multiply the first equation by 5

\(5(- 2x + 5y = -15)\)

\(-10x + 25y = -75\)

Multiply the second equation by 2.

\(2(5x + 2y = -6)\)

\(10x + 4y = -12\)

Add

\((-10x + 25y = -75) + (10x + 4y = -12)\)

\(-10x + 10x + 25y +4y = -75 - 12\)

\(29y = -87\)

Notice that x has been eliminated

Option 3

Multiply the first equation by 2

\(2(- 2x + 5y = -15)\)

\(-4x + 10y = -30\)

Multiply the second equation by 5

\(5(5x + 2y = -6)\)

\(25x + 10y = -30\)

Subtract.

\((-4x + 10y = -30) - (25x + 10y = -30)\)

\(-4x + 25x + 10y - 10y= -30 +30\)

\(21x = 0\)

Notice that y has been eliminated

Answer:

How many solutions does the system have?

✔ exactly one

The solution to the system is

(

⇒ 0,

⇒ -3).

Step-by-step explanation:

the next two parts

Answer:

6.211=( 6.21×100) (1×100) =621100

Hope that helped you

Answer:

36 inches per yard and 2 yards is 72 inches

Step-by-step explanation:

Answer:

1 Yard is equal to 36 inches and 2 yards is equal to 72 inches sorry if thats not what ur asking.

Step-by-step explanation:

The solution to the inequality is:

\([ x \in \left( -\infty, -\frac{9}{5} \right) ]\)

In interval notation, this can be written as:

\([ (-\infty, -\frac{9}{5}) ]\)

Let's simplify the inequality first:

\begin{align*}

4(-5x+3)-57 &>-4(-3x+2)+5x \

-20x+12-57 &>12x-8+5x \

-25x-45 &>0 \

-25x &>45 \

x &< -\frac{45}{25} \\([ x \in \left( -\infty, -\frac{9}{5} \right) ]\)

x &< -\frac{9}{5} \

\end{align*}

Therefore, the solution to the inequality is:

\([ x \in \left( -\infty, -\frac{9}{5} \right) ]\)

In interval notation, this can be written as:

\([ (-\infty, -\frac{9}{5}) ]\)

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\(4(-5x+3)-57 & > -4(-3x+2)+5x \\)

The range of probability is:

​c. ​zero to one

Probability is a measure of the likelihood of an event occurring. It is a value that ranges between 0 and 1, where 0 represents an impossible event, and 1 represents a particular event. In other words, a probability of 0 means that an event will not happen, and a probability of 1 means that an event will happen. Any probability value between 0 and 1 can be written as a decimal or a percentage. For example, a probability of 0.5 can also be written as 50%.

It is important to note that probability values cannot be negative or greater than 1. In probability theory, events that are impossible to happen have a probability of 0, and events that are certain to happen have a probability of 1. For example, a probability value of 0.5 means a 50% chance of an event and a 50% chance of it not happening. Therefore, the range of probability is between 0 and 1, as any value outside of this range would not be a valid probability.

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Answer:

the answer is 9 divided by 1

Answer:

i cant see.. zoom in

Step-by-step explanation:

i cant see.. zoom in

Therefore , the solution of the given problem of ordered pair comes out to be the ordered pair (1, 1/2).

"Ordered pairs" are two separate variables that are arranged in a way that suggests a specific sequence. The coordinates for x and y in an order pair are represented, respectively, by the main and second components. The sample following uses close parentheses to indicate the ordered combination.

Here, The formulae are as follows:

=>y = -z + 2      ...(1)

=> y = -2x² + z + 1  ...(2)

Equation (1) can be substituted for equation (2) to find the value of z:

=> Z = x² + 1/2 - z + 2 = -2x² + z + 1

=> 2z = 2x² + 1

We can now enter this value of z into equation (1) and find the value of y:

=> y = -z + 2

=> y = -(x² + 1/2) + 2

=> y = -x² + 3/2

As a result, the equation system can be expressed as:

=> z = x² + 1/2

=> y = -x² + 3/2

When x=0:

=> z = 0² + 1/2 = 1/2

=> y = -0² + 3/2 = 3/2

Therefore, there is no answer for the ordered pair (0, 3/2).

When x=1:

=> z = 1² + 1/2 = 3/2

=> y = -1² + 3/2 = 1/2

The answer is the ordered pair (1, 1/2).

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Answer:

-1.00000425998

Step-by-step explanation:

The inequalities that satisfy the region R are x < -1, y < -1 and y < -x + 4

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

The graph

The inequalities that satisfy the region R are as follows:

The equations of these lines are

x = -1

y = -1

y = -x + 4

When represented as an inequality, we have

x < -1

y < -1

y < -x + 4

Hence. the inequalities that satisfy the region R are x < -1, y < -1 and y < -x + 4

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The equation in slope-intercept form that represents a line with the given characteristics (increasing, passes through the point (0, -10), and has a slope less steep than y = x + 8) is y = (1/2)x - 10.

To find an equation in slope-intercept form for a line that satisfies the given characteristics, we need to consider the slope and the point it passes through.

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Given that the line is increasing, we know the slope will be positive. Also, since we want the slope to be less steep than the slope of the line represented by y = x + 8, we need to choose a slope value between 0 and 1.

Let's assume the slope of the line we are trying to find is m. We also know the line passes through the point (0, -10).

Using the point-slope form of a linear equation, we can write the equation:

y - y1 = m(x - x1)

Substituting the values of (0, -10) for (x1, y1):

y - (-10) = m(x - 0)

y + 10 = mx

Now, we need to determine the value of m. Since we want the slope to be less steep than the slope of y = x + 8, which has a slope of 1, we can choose a value between 0 and 1. Let's say m = 1/2.

Substituting this value into the equation:

y + 10 = (1/2)x

To express this equation in slope-intercept form, we isolate y on one side:

y = (1/2)x - 10

Therefore, an equation in slope-intercept form that represents a line with the given characteristics (increasing, passes through the point (0, -10), and has a slope less steep than y = x + 8) is:

y = (1/2)x - 10.

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Answer:

(3x + 5) + (x +3) = 180 sum of angles on a

straight line

3x + 5 + x + 3 = 180

3x + x + 5 + 3 = 180

4x + 8 = 180

4x = 180 - 8

x = 172/4

= 43

The angles 3x + 5 and x + 3 are

3x + 5 = 3(43) + 5 = 129 + 5 = 134

x + 3 = 43 + 3 = 46

you can use the formula for the volume of a rectangular prism to solve for one of the dimensions of the prism (either the length, width, or height).

What is a rectangular prism?

A rectangular prism is a three-dimensional shape with six rectangular faces. It is also known as a box or a cuboid. A rectangular prism has three dimensions: length, width, and height.

To find the base area of a rectangular prism when given the volume, you can use the formula for the volume of a rectangular prism and the formula for the base area of a pyramid.

The volume of a rectangular prism is given by the formula V = lwh,

where V is the volume, l is the length, w is the width, and h is the height.

The base area of a pyramid is given by the formula B = A/h,

where B is the base area, A is the total surface area of the pyramid, and h is the height of the pyramid.

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Answer:

34 Units ^2

Step-by-step explanation:

Answer:

The answer is (- 567.45)

9514 1404 393

Answer:

  (x, y) = (-1, -3)

Step-by-step explanation:

You notice that the coefficient of x in the first equation is double the opposite of the coefficient of x in the second equation. This means we can make the x-term disappear by adding twice the second equation to the first.

  (-6x +8y) +2(3x) = (-18) +2(y)

  8y = -18 +2y . . . simplify

  6y = -18 . . . . . . . subtract 2y

  y = -3 . . . . . . . . . divide by 6

Substituting into the second equation, we have ...

  3x = -3

  x = -1 . . . . . . . . . divide by 3

The solution is (x, y) = (-1, -3).

Answer:

Rest of the team= 20 goals

Step-by-step explanation:

Giving the following information:

Joshua= (2/7)

His team scored 28 goals this past season.

First, we determine hoy many goals Joshua score:

Joshua= (2/7)*28

Joshua= 8 goals

Now, the rest of the team:

Rest of the team= 28 - 8

Rest of the team= 20 goals

Answer:

M and N are similar but not congruent

Step-by-step explanation:

M and N look the same but aren´t the same width or height so there similar but not congruent.