Express the area of a rectangle with length 3x²y and width 4y³ as a monomial.
Area =

Answer:

$195.30

Step-by-step explanation:

350 x 0.6 = 210

210 x 0.93 = 195.3

Answer:

£200

Step-by-step explanation:

Let the original price of the camera be x.

The 10% discounted price of the camera is £180. This means that 10% of x was deducted from x to give £180:

x - (10/100 * x) = 180

x - 0.1x = 180

0.9x = 180

x = 180 / 0.9 = £200

The pre-sale price was £200.

The required value of a is -5.

Given that <4, -5> + <a, b> = <-1, 4>

To find the value of a and b by equating the  x-component of LHS  to x-component of RHS and equating the  y-component of LHS  to y-component of RHS.

Consider the x-component,

4 + a = -1

On subtracting by 4 on both the sides gives,

a = -5.

Consider the y-component,

-5 + b = 4

On adding by 5 on both the sides gives,

b = 9.

Hence, the required value of a is -5.

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Answer:

D. $2,700

Step-by-step explanation:

APE X

Answer:

Step-by-step explanation:

6b + 7 = 331

6b = 324

b = 54 students in each bus

The number of students in each bus is x = 54 students

Given data ,

331 students went on a field trip.

Six buses were filled and 7 student traveled in cars

Now , the equation is simplified as

The total number of students in the buses can be calculated by multiplying the number of buses (6) by the number of students in each bus (x). So, the number of students in the buses is 6x.

In addition to the students in the buses, there were 7 students who traveled in cars. Therefore, the total number of students on the field trip is 6x + 7.

According to the given information, the total number of students on the field trip is 331. So, we can set up the equation:

6x + 7 = 331

To solve for x, we can subtract 7 from both sides of the equation:

6x = 331 - 7

6x = 324

Finally, we divide both sides of the equation by 6 to solve for x:

x = 324 / 6

x = 54

Hence , there were 54 students in each bus

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Answer:

No, because not all corresponding angles are congruent.

Step-by-step explanation:

In order for two triangles to be similar you must have that you know at least 2 corresponding angles are congruent which would also imply the third set of angles are also congruent. You can also tell if two triangles are similar based on their corresponding sides being proportional. Without even checking the proportionally part of corresponding sides, I see the 3 angles in the first triangle do not have the same measurement as the one in the second triangle. Therefore, the triangles cannot possibly by similar.

Hope this helped you love.

Answer:

(0, 8)

(1, 7)

(2, 6)

(3, 5)

(4, 4)

(5, 2)

(6, 1)

Step-by-step explanation:

y - 8 = -x

  +8    +8

y = -x + 8

Slope: -1

             8(*)

              7 -  *

              6 -     *

              5 -          *

              4 -               *

              3 -                    *

              2 -

              1  -

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

                0   1   2   3 4   5

I hope this helps!

Given: The function `f(x, y) = sin(x6 - 6y)`Find the partial derivative: `fy(0, π)`Now, let's begin with the given function: `f(x, y) = sin(x^6 - 6y)`

To find `fy(0, π)`, we need to find the partial derivative of the function `f` w.r.t `y`.So, `fy(x, y) = -6 cos(x^6 - 6y)`Hence, `fy(0, π) = -6 cos(0 - 6π) = -6 cos(6π) = -6`

Therefore, the value of `fy(0, π) = -6` The equation of the plane is given as y = 1, and the surface is given as z = x² + 3xy - y². Therefore, we can say that the curve in which the plane intersects the surface can be expressed as:`z = x² + 3x(1) - 1²` => `z = x² + 3x - 1`

Now, we need to find the slope of the tangent line of this curve at the point P = (1, 1, 3).For this, we need to find the first partial derivatives of the function w.r.t `x` and `y`.`∂z/∂x = 2x + 3``∂z/∂y = 0`At point P = (1, 1, 3), we get:`∂z/∂x` at `(1, 1, 3) = 2(1) + 3 = 5` Now, we need to find the direction of the tangent line at point P, and for this, we need to take the gradient of the function w.r.t `x` and `y`.grad(f) = (2x + 3)i + 0j + (-2y)kNow, putting the values of x = 1 and y = 1, we get:grad(f) at (1, 1, 3) = (5i - 2k)We know that the slope of the tangent line is equal to the magnitude of the gradient vector.

Therefore, the slope of the tangent line at point P = (1, 1, 3) is given by:m = |grad(f) at (1, 1, 3)| = √(5² + 0² + (-2)²) = √29. Hence, the slope of the tangent line of the curve at point P = (1, 1, 3) is `m = √29`

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37.40 is  large a sample should you take in confidence interval.

What does confidence interval mean?

For the 95% confident interval of population mean , the margin of error (ME)

       ME = Z 1 - 0.05/2 5/√n

           2 = 1.96 * 6.24/√n

          n = ( 1.94 * 6.24/2)²

           n = 37.40

the required sample size (n) is 38 .

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Answer:

C

Step-by-step explanation:

Givens

r = 2 cm

h = 15 cm

pi = 3.14                                    The question does not expect a number for pi

Formula

V = (1/3) pi r^2 h                       Substitute givens into formula

Solution

V = 1/3 * pi * 2^2 * 15               Combine. Remember pi is left as it is

V = 1/3 * pi * 4 * 15                    

V = 1/3 pi * 60                         Divide 60 by 3

V = 20 pi

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The value of the unknown number x is 8.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The given numbers include:

The sum of the given numbers is calculated as follows:

\(2 + 4 + \text{x} + 6 = 12 + \text{x}\)

The mean of the given 4 numbers is calculated as follows:

\(\dfrac{12+\text{x}}{4} =5\)

\(12+\text{x}=20\)

\(\text{x}=20-12\)

\(\text{x}=8\)

Thus, the value of the unknown number x is 8.

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In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.

The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.

Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

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Primary interests in social work often involve helping vulnerable individuals, families, and communities. Specific client populations that might appeal to a social worker could include children and families, individuals with mental health issues, the elderly, and marginalized communities. Work settings may vary, such as schools, hospitals, community organizations, and government agencies.

A program related to these interests could be a "Community Resilience Program" designed to improve clients' ability to cope with challenges in their lives. This program would focus on providing support to vulnerable populations, such as low-income families, people with disabilities, and those facing mental health issues. The Community Resilience Program would involve a range of clinical interventions, such as individual counseling, group therapy, and skill-building workshops. The program would aim to strengthen clients' coping skills and resilience in the face of adversity, by focusing on areas such as emotional regulation, problem-solving, communication, and stress management. Through collaboration with community organizations and government agencies, the program would also offer resources and referrals to address clients' practical needs, such as housing, healthcare, and employment support. This comprehensive approach to service delivery would help clients navigate the challenges in their lives more effectively and foster a sense of empowerment and self-sufficiency.

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There are 27 different ways Jeffrey can choose his meals for the day.

If Jeffrey can choose toast, cereal, or pancakes for each of his three meals in a day, then there are three options for each meal. To count the total number of ways Jeffrey can choose his meals for the day, we need to use the multiplication principle of counting:

\(Total number of ways =\)\(number of options for meal 1 x number of options for meal 2 x number of options for meal 3\)

Therefore, the total number of ways Jeffrey can choose his meals for the day is:

3 x 3 x 3 = 27

So there are 27 different ways Jeffrey can choose his meals for the day.

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The iterated integral is 128 when it is converted to the polar coordinates integral( upper= a, lower= 0) integral.

Polar coordinate systems are those in which each point on a two-dimensional coordinate system's plane is determined by its distance from the reference point and an angle is taken from that reference direction. The point of reference is Pole. The line segment ray from the pole in the direction of the reference is known as the polar axis.

here ,

given integrated integral is

x\(x\sqrt{x^{2} + y^{2} } dydx\)

where r is a half circle in the xy plane

the circe is  y = \(\sqrt{4 - x^{2} }\)

\(y^{2}\) = 4 - \(x^{2}\)

\(x^{2} + y^{2}\) = 4

= 16 [ -4 ] [ -2]

= 16 ( 8 )

= 128

As a result, the iterated integral is 128 when it is converted to the polar coordinates integral( upper= a, lower= 0) integral.

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No, f (x) =9x^4+8x^3-6x^-2+2x is not a polynomial function.

We can define the polynomial function that are expressed in the form of polynomial. it must involves only non-negative integer powers or only positive integer exponents. The highest power of polynomial function is known as its degree. Domain of polynomial function is entire real numbers(R).

P(x) =\(a_{n}\) \(x^{n}\)  + \(a_{n-1}\) \(x^{n-1}\)+.……….…+\(a_{2}\)\(x^{2}\) +\(a_{1}x\) +\(a_{0}\),

The function having power in the form of fraction, negative integer or having division in function will not be called as polynomial function.

From the question, we know that,

f (x) =9x^4+8x^3-6x^-2+2x

coefficient of 9 has power 4,

coefficient of 8 has power 3

coefficient of 6 has negative power -2

coefficient of 2 has power 1

but it is not a polynomial function because coefficient of 6 has negative power -2.

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Answer:

5π/6 to the right

π/6 to the right

Answer:

Step-by-step explanation:

Given rule for the multiple translations is,

\(T_{5,-0.5}.R_{0.180^{\circ}}(x,y)\)

Apply the rule \(R_{0,180^{\circ}}\) first.

(x, y) → (-x, -y)

This rule illustrates a rotation of the triangle FGH by 180° about the origin,

Vertices of ΔFGH are,

F → (1, 1)

G → (4, 5)

H → (5, 1)

After rotation vertices of the image triangle are,

F' → (-1, -1)

G' → (-4, -5)

H' → (-5, -1)

Further apply the rule,

\(T_{5,-0.5}\)

(x, y) → (x + 5, y - 0.5)

By this rule of translation,

F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}

            → F"(4, -1.5)

G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]

              → G"(1, -5.5)

H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]

             → H"(0, -1.5)

Answer:

$4.02

Step-by-step explanation:

since he bought the same meal for 3 days, that means he payed the same amount every day for 3 days. the total is $12.06, so if u divide the total by 3, you will get how much he payed for one meal.

0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.

Using statistical software or a t-distribution table, we can find that the area to the left of 0.57 under the t-distribution with 17 degrees of freedom is approximately 0.7111.

To find the area to the right of 0.57, we need to subtract the area to the left of 0.57 from 1

Area to the right of 0.57 = 1 - 0.7111 = 0.2889

Rounding this to 4 decimal places gives us a final answer of 0.2889. Therefore, 0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.

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Answer:

25 + 25 + 15 + 12 = 77 units²

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

7/6

Step-by-step explanation:

2/3 ( 9 - 6 ) - 5/6

2/3 (3)-5/6

2-5/6

7/6

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

The given matrix is skew symmetric.

To determine the values of x, y, and z such that the given matrix is skew symmetric, we need to ensure that the matrix satisfies the condition A^T = -A, where A^T is the transpose of matrix A.

Let's start by finding the transpose of the given matrix:

0 X 2

y 0 28

Taking the transpose of this matrix, we get:

0 y

X 0

2 28

Now, we need to equate this transpose with the negation of the original matrix:

0 y = 0

X 0 = -X

2 28 = -2 -28

From the equations above, we can determine the values of y, X, and z:

y = 0

X = 0

-2 = -2

-28 = -28

Therefore, the values of x, y, and z are all 0. So, the matrix is skew symmetric when x = 0, y = 0, and z = 0.

Example of a symmetric 3 by 3 matrix:

A symmetric matrix is one that is equal to its transpose. Here's an example:

1 2 3

2 4 5

3 5 6

If we take the transpose of this matrix, we get the same matrix:

1 2 3

2 4 5

3 5 6

Example of a skew symmetric 3 by 3 matrix:

A skew symmetric matrix is one that satisfies the condition A^T = -A. Here's an example:

0 -2 3

2 0 -5

-3 5 0

If we take the transpose of this matrix, we get the negation of the matrix:

0 2 -3

-2 0 5

3 -5 0

Proving that the given matrix is skew symmetric:

To prove that a matrix is skew symmetric, we need to show that A^T = -A. Let's consider the given matrix:

0 X 2

y 0 28

Taking the transpose of this matrix:

0 y

X 0

2 28

Now, let's negate the original matrix:

0 -X -2

-y 0 -28

Comparing the transpose with the negated matrix:

0 y = 0

-X 0 = -X

-2 -28 = -2 -28

We can see that the transpose is equal to the negation of the original matrix, satisfying the condition for skew symmetry.

Hence, the given matrix is skew symmetric.

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Answer:

the correct answer is b) 3-5/x

Answer:

297cm^3π

Step-by-step explanation:

R is a radius of the base of a cone, and r of top surface radius.

V=(1/3)×π×depth×(r^2+r×R+R^2)

V=(1/3)×π×3cm×(3^2+3×4.5×4.5^2)

V=(1/3)×π×3cm×(9cm^2+3cm×4.5cm×20.25cm^2)

V=(1/3)×π×3cm×(12cm^2×24.75cm^2)

V=(1/3)×π×3cm×(297cm^4)

V=(1/3)×π×891cm^3

V=(891cm^3/3)π

V=297cm^3π

hope it help yuh

plz mark brianliest if its correct

An individual's BMR decreases approximately 3 to 5 percent per decade on an average after the age of option C. 30.

Therefore, on an average individuals BMR is approximately decreases by round about 3 to 5 percent per decade after the age of option c. 30.

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