let w be the set of all vectors of the form 2 6 6 4 s c 3t s t 2s t 4t 3 7 7 5 . show that w is a subspace of r 4 ..

Answer:

182.59

Step-by-step explanation:

46.80 + 0.79+ 135

The sum of the expression £46.80 + 79p + £135 will be £182.59.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ £46.80 + 79p + £135

We know that £1 = 100p. Then the sum of the expression will be

⇒ 46.80 + 0.79 + 135

⇒ £182.59

The sum of the expression £46.80 + 79p + £135 will be £182.59.

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In other words, y-2 goes in the first box and 5 goes in the second box.

=================================================

Work Shown:

y^2 - 4y - x + 9 = 0

y^2 - 4y + 9  = x

x = y^2 - 4y + 9

x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5

x = (y^2-4y+4) + 5

x = (y-2)^2 + 5  .... apply the perfect square factoring rule

So we'll have y-2 go in the first box and 5 goes in the second box

note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.

With respect to parenting style, coercive is to confrontative as authoritative is to assertive.

Both pairs involve a parent asserting their authority and expectations, but the former is done through negative reinforcement and the latter is done through positive reinforcement. Coercive parenting is characterized by the use of punishment and criticism to control behavior, while confrontative parenting involves verbal aggression and conflict to establish dominance.

These styles are often associated with negative outcomes such as increased aggression, lower self-esteem, and decreased academic achievement. On the other hand, authoritative parenting is based on clear rules and boundaries that are communicated in a supportive and nurturing environment. This style is associated with positive outcomes such as higher academic achievement, increased self-esteem, and improved social skills.

Similarly, assertive parenting involves clear communication of expectations and limits, but in a positive and respectful manner. Overall, while both coercive and confrontative parenting involves the assertion of authority, authoritative and assertive parenting involves setting limits and expectations in a positive and supportive manner, which leads to better outcomes for children.

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The first-order partial derivative is ∂y/∂z = \(-2x + z^-^1^/^2\).

The second-order partial derivative is ∂²y/∂z∂x = -2

The first-order partial derivatives of the given function y = 6x² - 2zx + 3x¹² + z¹/2 - x - 9 are:

∂y/∂x = 12x - 2z + 36x¹¹ - 1,

∂y/∂z =\(-2x + z^-^1^/^2\).

The second-order partial derivatives of the function are:

∂²y/∂x² = 12 + 396x¹⁰,

∂²y/∂z² = \(z^-^3^/^2\)

∂²y/∂x∂z = -2,

∂²y/∂z∂x = -2.

In the first paragraph, I have provided the first-order partial derivatives of the given function with respect to x (∂y/∂x) and z (∂y/∂z). These derivatives represent the rates of change of the function with respect to each variable, while keeping the other variables constant.

In the second paragraph, I have provided the second-order partial derivatives. These represent the rates of change of the first-order partial derivatives with respect to each variable. ∂²y/∂x² measures the curvature of the function with respect to x, while ∂²y/∂z² measures the curvature with respect to z. ∂²y/∂x∂z and ∂²y/∂z∂x represent the cross-partial derivatives, indicating how the function changes simultaneously with respect to both x and z. These partial derivatives provide additional information about the behavior of the function in multiple dimensions and can be used to analyze critical points, extrema, and curvature.

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Answer:

2nd option

Step-by-step explanation:

one-and-a-half = 1 1/2

Audio files sold one-and-a-half times as many songs than download tunes

If teacher is distributing sheets in a class, then the equation which is used to find number of students in class is (d) 2x+8 = 3x - 11​.

A "Linear-Equation" is a mathematical equation that represents a straight line in a coordinate plane. It is of form : y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the point at which the line crosses the y-axis).

Let number of students in class be denotes as "x",

If each student get 2 sheets, then 8 sheets are remaining, it is mathematically represented as : 2x + 8 ,

If each student get 3 sheets each, then there would be 11 sheets less, and this is represented as : 3x - 11,

So, the equation which is used to find number of students in class is 2x+8=3x-11,

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

If a teacher were to distribute sheets of paper so that each student got two sheets, there would be 8 sheets remaining. However, if three sheets were given to each student, the teacher would be 11 sheets short. Which equation could be used to find how many students are in the class?

(a) 2(x - 8) = 3(x + 11)

(b) 2(x + 8) = 3(x - 11)

(c) 2x-8 = 3x + 11

(d) 2x+8 = 3x - 11​

Any even number raised to any power will remain even. (e.g. 2² = 4, 2³ = 8, etc)

Any odd number raised to any power will remain odd. (e.g. 1² = 1³ = ... = 1, 3⁴ = 81, etc)

So \((n+1)^{2^k}-n^{2^k}\) will always be even, since both

[even] - [odd] = [odd]

and

[odd] - [even] = [odd]

The solution to the system of equations is:

x = 1 ,y = -2 and z = 2

To solve the system of equations:

2x + 3y - z = 2 ---(1)

-6x - 4y - 4z = -12 ---(2)

3x - 3y + 10z = 10 ---(3)

We can use the method of elimination or substitution to find the values of x, y, and z that satisfy all three equations simultaneously.

Method of Elimination:

Multiply equation (1) by 2 and equation (2) by 3:

4x + 6y - 2z = 4 ---(4)

-18x - 12y - 12z = -36 ---(5)

Add equations (4) and (5) together:

-14x - 6y - 14z = -32 ---(6)

Multiply equation (3) by 2:

6x - 6y + 20z = 20 ---(7)

Add equations (6) and (7) together:

-14x + 14z = -12 ---(8)

Solve equation (8) for x:

-14x = -12 - 14z

x = (-12 - 14z)/(-14)

x = (6 + 7z)/7 ---(9)

Substitute the value of x from equation (9) into equation (1):

2((6 + 7z)/7) + 3y - z = 2

(12 + 14z)/7 + 3y - z = 2

12 + 14z + 21y - 7z = 14

21y + 7z = 2 ---(10)

Multiply equation (3) by 2:

6x - 6y + 20z = 20 ---(11)

Substitute the value of x from equation (9) into equation (11):

6((6 + 7z)/7) - 6y + 20z = 20

(36 + 42z)/7 - 6y + 20z = 20

36 + 42z - 42y + 140z = 140

42z - 42y + 182z = 104

42z + 182z - 42y = 104

224z - 42y = 104 ---(12)

Solve equations (10) and (12) simultaneously to find the values of y and z.

Once the values of y and z are determined, substitute them back into equation (9) to find the value of x.

Therefore, the solution to the system of equations is x = 1, y = -2, and      z = 2.

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Answer:

Step-by-step explanation:

art I 5.00% per annum ------------- Amount invested =x

Part II 9.00% per annum ------------ Amount invested = y

8000

Interest----- 520.00

Part I 5.00% per annum ---x

Part II 9.00% per annum ---y

Total investment

x + 1 y= 8000 -------------1

Interest on both investments

5.00% x + 9.00% y= 520

Multiply by 100

5 x + 9 y= 52000.00 --------2

Multiply (1) by -5

we get

-5 x -5 y= -40000.00

Add this to (2)

0 x 4 y= 12000

divide by 4

y = 3000

Part I 5.00% $ 5000

Part II 9.00% $ 3000

CHECK

5000 --------- 5.00% ------- 250.00

3000 ------------- 9.00% ------- 270.00

Total -------------------- 520.00

SOLUTION:

Given:

Aaron's height: 60 inches

Required: Find Monique's height.

Relationship: Monique's height minus 5 inches equals Aaron's height.

Statement: Let Monique's height be represented by m

Equation:

Final answer:

Monique is 65 inches tall

Answer:

The situation is linear and proportinal

Step-by-step explanation:

Hopes this help!!

The situation is linear and proportional for Joanna is paid $10 per hour.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

Given,

Joanna is paid $10 per hour.

Let earnings of Joanna is y and number of hours be x

then,

Joanna earning in x hours

y = 10x

Which is linear equation

and

y/x = 10 = k

Earning and number of hours are proportional.

Hence, Joanna is paid $10 per hour is linear and proportional situation.

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Answer:

Each will receive \(\frac{1}{6}th\) of the cake.

Step-by-step explanation:

Let the amount of cake = c

Lisa, Juan and Isaac are the persons who are sharing half of a cake equally.

Number of persons = 3

Part of the cake shared = \(\frac{c}{2}\)

Fraction of the cake shared by each = \(\frac{\text{Amount of cake shared}}{\text{Number of persons who shared}}\)

                                                             = \(\frac{\frac{1}{2}c}{3}\)

                                                             = \(\frac{1}{6}c\)

Therefore, fraction of total cake shared by each member will be \(\frac{1}{6}\) of the total amount of cake.

Answer:

-6

Step-by-step explanation:

Sorry, no explaination, but it's correct (trust me)

The value of n for which the considered quadratic equation p(x) and k(x) are such that p(x) = k(x) + n is n = -6

If a quadratic equation is written in the form

\(y=a(x-h)^2 + k\)

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

This graph goes through three points, (-3,3), (3,3), and (0,-6) (the last point is the vertex of the quadratic equation).

Let the function p(x) be:

\(p(x) = a(x-h)^2 + k\)

Since the vertex lies on the point (h,k) = (0,-6), putting h = 0, and k = -6, we get:

\(p(x) = ax^2 -6\)

Now, as this graph passes through (x,y) = (-3,3), putting x= -3, and y (output, or say p(x)) = 3, we get:

\(3 = a(-3)^2 - 6\\3 = 9a-6\\9a = 9\\a =1\)

Thus,  the function p(x) is:

\(p(x) = x^2 - 6\)

But since \(k(x) = x^2\), therefore,

\(p(x) = x^2 - 6 = k(x) - 6\)

On comparison with p(x) = k(x) + n, we deduce that n = -6

Thus, the value of n for which the considered quadratic equation p(x) and k(x) are such that p(x) = k(x) + n is n = -6

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At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

What is Division by Sharing?

let the number of gummy bears bag = x

9x/8 = 5

9x = 40

x = 4.4

Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

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Answer:

x = 3

Step-by-step explanation:

6x + 3 = 21

6x = 18

x = 3

Let's Check the answer.

6(3) + 3 = 21

18 + 3 = 21

21 = 21

So, x = 3 is the correct answer.

Step-by-step explanation:

PEMDAS rule

3 -15 = -12

-20 - 4 = -24

-5 + 16 + 1 = 12

= 12/6 which = 2

15 + 5 = 20

35/6 = 5 5/6

Answer:

A:4

Step-by-step explanation:

(12-4) + -8/2 = 8 + -4 = 4

hoped this helped!

Answer:

A

Step-by-step explanation:

(12-x)+y/2

(12-4)+-8/2

8+-8/2

4

The equation of the tangent plane to f(x, y) = x^2 - 2xy + 3y^2, with slopes 2 in the positive x direction and 2 in the positive y direction, is 2x + 4y - 8 = 0.

To locate the equation of the tangent airplane to the floor described with the aid of the feature f(x, y) = \(x^2 - 2xy + 3y^2\), we need to decide the gradient vector and consider it at a given point.

The gradient vector will grant the ordinary vector to the tangent plane, and by way of the use of the slope information, we can discover the equation of the plane.

Calculate the partial derivatives of the feature with recognize to x and y:

f_x = 2x - 2y

f_y = -2x + 6y

Set up a device of equations the use of the given slope information:

f_x = 2

f_y = 2

Solve the machine of equations to discover the factor where the slopes are satisfied:

2x - 2y = 2 --> x - y = 1 --> x = y + 1

-2x + 6y = 2 --> -x + 3y = 1 --> -x = 1 - 3y --> x = 3y - 1

Setting the two expressions for x equal to every other:

y + 1 = 3y - 1

2 = 2y

y = 1

Substitute y = 1 into both expression for x:

x = 1 + 1

x = 2

Therefore, the factor the place the slopes are comfy is (2, 1).

Evaluate the gradient vector at the factor (2, 1):

grad(f) = (f_x, f_y) = (2x - 2y, -2x + 6y)

= (2(2) - 2(1), -2(2) + 6(1))

= (2, 4)

The ordinary vector to the tangent airplane is the gradient vector (2, 4).

Using the point-normal structure of the equation for a plane, the equation of the tangent airplane is:

2(x - 2) + 4(y - 1) + d = 0

To decide the price of d, alternative the coordinates of the factor (2, 1):

2(2 - 2) + 4(1 - 1) + d = 0

0 + 0 + d = 0

d = 0

The equation of the tangent airplane is:

2(x - 2) + 4(y - 1) = 0

Simplifying the equation, we have:

2x - 4 + 4y - 4 = 0

2x + 4y - 8 = 8

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If variable X is measured on the horizontal axis and Y on the vertical axis, the equation of a straight line with a slope of zero at all points would be y = b, where b is the y-intercept.

The equation of a straight line that has a slope of zero at all points is a horizontal line.

When a line has a slope of zero, it means that it is perfectly horizontal and does not have any vertical change. In this case, the slope of the line is constant and equal to zero at all points.

The equation of a horizontal line can be written in the form y = b, where b is the y-intercept or the value where the line intersects the y-axis. The value of b can be any real number since the line is horizontal and does not change in the vertical direction.

In conclusion, the equation of a straight line with a slope of zero at all is valid if variable X is measured along the horizontal axis and variable Y along the vertical axis. points would be y = b, where b is the y-intercept.

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Answer: the anwser is B

Step-by-step explanation:

Answer:

Grace, jonah,D'angelo,then Katie.

First,Grace because she finished it 100%

Next,it's Jonah because he finished it 2/3 the way meaning about around 70% of the work.

Then, D'angelo because he completed five more than Katie.

Last,Katie because she was less than jonah.She had 40 but D'angelo had five more than her

Answer:

1.0625 seconds

Step-by-step explanation:

Given that:

Initial velocity of Belinda, \(v_0=17\ ft/sec\)

Height in feet of Belinda above the trampoline is given as the formula:

\(d(t) = v_0t-16t^2\)

Where \(t\) is the time in seconds.

To find:

Time taken by Belinda to come back to trampoline = ?

Solution:

When Belinda will come back to trampoline, the height will be zero.

Putting \(d(t) =0\)

We have the equation as:

\(0 = 17t-16t^2\\\Rightarrow 16t^2-17t=0\\\because t\neq0\\\Rightarrow 16t=17\\\Rightarrow t=\dfrac{17}{16}\\\Rightarrow t =1.0625\ seconds\)

Therefore, the answer is: 1.0625 seconds

The polygon is a regular hexagon.

Stella is using a compass and a straight edge to construct a polygon inscribed in a circle.

Also the circle is drawn with five arc markings that lie on the circle. Also there is an additional point marked on the circle.

So there are in total 6 points on the circle. Also the lines joining these five points will be equal. So we will get a regular hexagon through this construction.

The following is the process of construction.

First she starts at a point on the circle placing the compass there. Then she will measure the radius of the circle on compass. Fixing this distance, she will draw an arc on the circle. The process is repeated by placing the compass on the new point obtained on the circle.

So in total she will get the 6 vertexes of the regular hexagon. Joining the adjacent points, a regular hexagon is inscribed inside the circle.

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Answer: A regular hexagon

Answer:

A. Banana to grape this should be right

Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

Two Angle whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

If ∠ 8 is supplementary to ∠ 9, then line x and y must be parallel lines wheres line s is the transverse line.

∠ 7 = ∠ 4.

Now, ∠ 7 = ∠ 2 and ∠ 4 = ∠ 9.

So, ∠ 2 = ∠ 3 {supplementary angles}

Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

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Answer:0.5, 0.5

Step-by-step explanation:

Given

\(P(A\cap B)=0.25\)

Also, A and B are independent events. So, we can write that

\(P(A\cap B)=P(A)\times P(B)\)

\(0.25=P(A)\times P(B)\)

So, the two most possible value of \(P(A)\ \text{and}\ P(B)\) are \(0.5\ \text{and}\ 0.5\)

Answer: The charge would be $7.20.

hope that helps.

Answer:

28

Step-by-step explanation:

The first five prime numbers are = 2,3,5,7,11

Addition of the prime nos. = 2+3+5+7+11=28

The first prime numbers are: 2, 3, 5, 7, 11.

The sum is 2 + 3 + 5 + 7 + 11 = 28, so option 4

The answer to the given question is C) 1-proportion z-interval.

Explanation: To estimate the true proportion (n) of college freshmen who are overwhelmed by managing their time, a 1-proportion z-interval is used. Since we have a sample proportion of 58% and a sample size of 462, we can calculate a confidence interval to estimate the range of the true proportion. With a 90% confidence level, the z-interval formula is applied using the standard normal distribution. The resulting interval will provide a range within which we are 90% confident that the true proportion falls. By calculating the margin of error and applying it to the sample proportion, we can interpret the confidence interval, providing valuable information about the population proportion of overwhelmed college freshmen. #spj11

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Answer:

40995

Step-by-step explanation:

not sure, your question is not as clear, therefore, rephrase it so i can provide a clearer answer

This problem involves finding the probability that a car's speed is less than 60 miles per hour, given that the average speed on the highway is 72 miles per hour with a standard deviation of 5.2 miles per hour.

The problem can be solved by standardizing the speed variable using the formula:

z = (x - μ) / σ

where z is the z-score, x is the car's speed, μ is the mean speed and σ is the standard deviation.

For this problem, we want to find the probability that the car's speed is less than 60 miles per hour, which can be written as:

P(X < 60)

Using the formula above and substituting the given values, we get:

z = (60 - 72) / 5.2 = -2.31

Using a normal distribution table or a calculator with a normal distribution function, we can find the probability that z is less than -2.31, which is 0.0104 (rounded to four decimal places).

Therefore, the probability that the car's speed is less than 60 miles per hour is approximately 0.0104. This means that the car is traveling at a lower speed than 99% of the other cars on the highway, assuming they are normally distributed.

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Answer:

0.0105

Step-by-step explanation:

The mean is μ=72, and the standard deviation is σ=5.2.1. Open Excel and click on any empty cell. Click Insert function, fx.2. Search for NORMDIST in the search for a function dialog box and click GO.3. Make sure NORMDIST is on top in select a function. Then click OK.4. In the function arguments of NORMDIST function, enter 60 for X, 72 for Mean, 5.2 for Standard_dev, and TRUE for Cumulative.Thus, the answer, rounded to four decimal places, is P(X<60)≈0.0105.