I NEED HELP ASAP!!!!!!!!!!!!!!
What values should x and y have to complete the proportion x/a = a/y? Important x < y

The steady-state response yss(t) to the given input function f(t) = 16 sin(5t) and the transfer function t(s) = 1/(s^2 + 10s + 100) is (1/175) * 16 sin(5t - 87.94 degrees).

To find the steady-state response yss(t) to the given input function f(t), we need to evaluate the transfer function at steady-state conditions.

In this case, the transfer function is given as t(s) = y(s)/f(s) = 1/(s^2 + 10s + 100), and the input function is f(t) = 16 sin(5t).

To evaluate the steady-state response, we substitute jω for s in the transfer function, where ω is the angular frequency.

For a sinusoidal input of the form f(t) = A sin(ωt), the steady-state response is given by yss(t) = |t(jω)| A sin(ωt + θ), where |t(jω)| is the magnitude of the transfer function evaluated at jω, and θ is the phase angle.

In this case, the angular frequency is 5, so we substitute s = j5 into the transfer function. Evaluating t(j5), we find |t(j5)| = 1/175, and the phase angle is -87.94 degrees.

Therefore, the steady-state response yss(t) = (1/175) * 16 sin(5t - 87.94 degrees). The steady-state response yss(t) to the given input function f(t) = 16 sin(5t) and the transfer function t(s) = 1/(s^2 + 10s + 100) is (1/175) * 16 sin(5t - 87.94 degrees).

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True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.

What is a performance comparison?

They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.

                 The measures are employed in productivity improvement projects to monitor changes in productivity over time.

Why is performance measurement important?

Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.

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3 people do not like either coffee or tea. (Venn Diagram: 3 in the outside circle)  The Venn Diagram would contain 3 circles, one labeled “Coffee”, one labeled “Tea”, and one labeled “Neither”.

The Venn Diagram will have 3 circles, one labeled “Coffee”, one labeled “Tea”, and one labeled “Neither”. In the “Coffee” circle, 32 people like coffee. In the “Tea” circle, 19 people like tea. In the overlapping “Both” circle, 5 people like both coffee and tea. To find the number of people who do not like coffee or tea, subtract the total number of people surveyed (50) from the sum of people who like coffee (32) and tea (19) and people who like both (5). Therefore, the answer is 3 people do not like either coffee or tea.  (Venn Diagram: 3 in the outside circle)

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At the art show, Cody spent $169.00 on a hand-painted bowl and $650.00 on a beautiful glass vase. By adding this cost to the cost of the hand-painted bowl, we can find the total amount Cody spent. Cody spent a total of $819.00 at the art show

Step 1: Add the cost of the hand-painted bowl ($169.00) and the cost of the glass vase ($650.00).

$169.00 + $650.00 = $819.00

Therefore, Cody spent a total of $819.00 at the art show.

In this case, the relevant detail is the cost of the glass vase, which is $650.00. By adding this cost to the cost of the hand-painted bowl, we can find the total amount Cody spent.

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Answer:

Each sweater costs $8.30

Step-by-step explanation:

j = jeans

s = sweater

3j + 3s = 105.69

3(26.93) + 3s = 105.69

80.79 + 3s = 105.69

-80.79          -80.79

3s = 24.9

/3   /3

s = 8.3 ($8.30)

Check:

3j + 3s = 105.69

3(26.93) + 3(8.3) = 105.69

80.79 + 24.9 = 105.69

105.69 = 105.69

Hope this helps!

Answer:

(-1,9)

Step-by-step explanation:

y = -3x + 6

y = 9

-3x + 6 = 9

-3x = 3

x = -1

y is already given as 9, but you can solve for y by plugging the x value into y = -3x + 6,

-3(-1) + 6 = 9

(-1,9)

The midpoint of points Q(9.3) and R(1,1) will be M(5,2).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the two endpoints of QR are Q(9.3) and R(1,1). The midpoint will be calculated as,

Midpoint = [x₁ + x₂]/2 , [y₁ + y₂] / 2

Midpoint = [(9 + 1 ) /2 , ( 3 + 1 ) / 2

Midpoint = 5, 2

M is the midpoint of points Q(9.3) and R(1,1) (5,2).

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The area of the bedroom in the terms of p and q is (6p7q)² square units.

What is the area of square?

The amount of square units required to fill a square is referred to as the area of a square. In general, the region contained within a flat object's or 2D figure's boundary is referred to as the area. The unit of measurement is square, with square metres serving as the default.

We are given that a bedroom is in the shape of a square with the length as 6p7q.

We know that area of a square is the square of the side.

So, from this we get

⇒ Area = (6p7q)² square units

Hence, the area of the bedroom in the terms of p and q is (6p7q)² square units.

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The function h(x) = 1-x has a removable discontinuity at a=4 because the function is not defined at that point.

The conditional function h(x) = 1-x has a discontinuity at a=4. This type of discontinuity is called a removable discontinuity or a point discontinuity.

To understand why this is the case, let's analyze the function h(x) = 1-x when x is less than 4 and when x is greater than 4.

When x is less than 4, the expression 1-x is defined and has a value. For example, if x=3, then h(3) = 1-3 = -2. So, the function is defined and continuous on the left side of x=4.

When x is greater than 4, the expression 1-x is also defined and has a value. For example, if x=5, then h(5) = 1-5 = -4. So, the function is defined and continuous on the right side of x=4.

However, when x=4, the expression 1-x is not defined because it leads to division by zero. Therefore, there is a discontinuity at x=4, where the function is not defined.

This type of discontinuity is called a removable discontinuity because it can be "removed" by assigning a value to the function at x=4. For example, if we redefine h(4) as 0, then the function becomes continuous at x=4.

In conclusion, the function h(x) = 1-x has a removable discontinuity at a=4 because the function is not defined at that point.

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The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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For the first question: To create an empty set in Python, you can use curly braces {}. So the correct option is: O {}.

For the second question: The expression s1 < s2 checks if s1 is a proper subset of s2. A proper subset means that all elements of s1 are also present in s2, but s1 is not equal to s2.

Therefore, the correct option is: O true if s1 is a proper subset of s2.

For the third question:

The symmetric difference between two sets, denoted by s1 ^ s2, represents the elements that are in either of the sets but not in their intersection.

Given s1 = {1, 2, 4, 3} and s2 = {1, 5, 4, 13}, the symmetric difference s1 ^ s2 would be {2, 3, 5, 13}.

Therefore, the correct option is: O (2, 3, 5, 13).

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Answer:

light blue

Step-by-step explanation:

Answer:

Step-by-step explanation:

F: x * x  = x^2

O:9 * x = 9x

I : 7 * x = 7x

L: 7 * 9 = 63

x^2 + 9x + 7x + 63

x^2 + 16x + 63

As he cooks on the barbecue, the weight of the tank goes down because some of the propane is getting used up.

Given that is happening, the graph showing that has to start with a lot in it and slowly decrease.

That being said, the graph representing the decrease in propane as time passes is C.

Answer: C.

Answer:

First 1 is 56

2nd one is 112

3rd one is 336

Step-by-step explanation:

The measure of m∠A is 27.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

m∠A = (2x + 5) and m∠B = (4x + 19)

∠A and ∠ B are complementary angles.

So,

Solve for x.

(2x + 5) + (4x + 19) = 90

2x + 5 + 4x + 19 = 90

6x + 24 = 90

6x = 90 - 24

6x = 66

x = 11

Now,

m∠A.

= (2x + 5)

= 2 x 11 + 5

= 22 + 5

= 27

Thus,

m∠A = 27

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Answer:

Out off 100

Step-by-step explanation:

10 don't have dutch heritage.

20 don't have German heritage.

25 don't have English heritage.

100 - 55

At minimum, 45 people have all three heritages.

Answer:

left to right

Step-by-step explanation:

Answer:

the slope is 0

Step-by-step explanation:

i know this because i asked a math teacher

Answer:

it would be 40

Step-by-step explanation:

It would be 40 because you divide the 4000 feet by 100

like this

4000/100

then you divide it like its 40 divided by 10

thats how you get 40

Answer:

3,000

Step-by-step explanation:

100 per minute: 100m

100x 10 =1,000

4,000-1,000= 3,000

Answer:

x=2

Step-by-step explanation:

1. AB=AC (The triangle is isosceles. This means that at least two of its sides are equal in length. Looking at the triangle in the picture, sides AB and AC look the same, so we will assume that they are equal. Note that as you get more advanced, assuming isn't the best strategy. You should always try to look for hints if you are ever unsure. For example, if there are two angles that are the same measure in a triangle, the two sides that are only touching one of these angles are equal in length. This is called the base angles theorem converse.)

2. 9x-3=6x+3 (Rewrite sides AB and AC as the values given in the picture. This is called substitution.)

3. 9x=6x+6 (Add 3 to each side)

4. 3x=6 (Subtract 6x from each side)

5. x=2 (Divide each side by 3)

let me know if i did anything wrong, hope this helps!!

Answer:

Part A: \(\frac{3}{5}\)

Part B: \(\frac{1}{2}\)

Step-by-step explanation:

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Experimental probability is determined as # of times something occurred experimentally / total number of times.  

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is \(\frac{12}{20}\), which simplifies down to \(\frac{3}{5}\).

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is \(\frac{1}{2}\).

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

The measure of the angle x in the right triangle ABD is 38.06 degrees.

Points B, C and D lie on a straight line.

AC is perpendicular to BD.

BC = 4cm and BD = 24 cm.

Triangle ABC has area 36 \(cm^{2}\)

To Calculate the size of angle x.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. Therefore, the sides of the triangle can be found using trigonometric ratios.

area of a triangle = 1 / 2 bh

where

   b = base of triangle

   h = height of triangle

Hence,

area of a triangle =  1 / 2 × 4 × h

24 = 2h

h = 24 / 2

h = 12 cm

DC =  24 - 4 = 20 cm

AC = 12 cm

tan x = opposite / adjacent

tan x = 12 / 20

x = tan ⁻¹ 0.6

x = 38.06

x = 38.06 degrees.

Hence the answer is the measure of the angle x in the right triangle ABD is 38.06 degrees.

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The statement is false. In the pair of linear equation, if a₁/a₂ ≠  b₁/b₂ then the equations have unique solution.

Given that,

The pair of linear equation

a₁x +b₁y +c₁=0 and

a₂x +b₂y +c₂=0

We have to prove if a₁/a₂ ≠  b₁/b₂ then the equations have no solution.

We know that,

In the pair of linear equation

a₁x +b₁y +c₁=0 and

a₂x +b₂y +c₂=0

If a₁/a₂ ≠  b₁/b₂ then System is called consistent and have a unique Solution

Lines intersect each other at unique point

a₁/a₂ =  b₁/b₂ = c₁/c₂ then consistent (infinite solution) as both Equation represent same line

a₁/a₂ =  b₁/b₂ ≠ c₁/c₂ then inconsistent (no Solution) as Lines are parallel and never intersect each other

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The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.

The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients. To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

Given,

Equations:

y + 2x = -1

y = x + 4

y - x = 4

Using elimination method,

y + 2x = -1

y - x = 4

-------------

x = 3

The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.

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A system of equations that could be used to  determine the number of cans of soup purchased and the number of frozen dinners  purchased is:

350x + 500y = 4800

y = 2x

x = number of cans of soup purchased

y = number of frozen dinners purchased.

The system of equations are known as simultaneous equations. Simultaneous equations are group of equations that have to be solved together in order to determine the required values.

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2.25$. The call is priced at 15 cents per minute

The solutions to the triangles are: x = 16.9  2. i) a =70km ii) 12 km  3) x = 6m

A right-angled triangle is a triangle in which one of its interior angles is a right angle (90 degrees), and the other two angles are acute angles. The sum of all angles in a triangle is always 180 degrees.  The hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides

a)  Using trig ratio of

Sin28 = x/36

x= 36-sin28

x = 36*0.4695

x = 16.9

2)  To find a,

Tan35 = a/100

a= 100tan35

a = 100*0.7002

a =70km

ii)  h² = 100² + 70²

h² = 10000 + 4900

h² = 14900

h = √14900

h= 12 km

3.  Using Pythagoras theorem

10² = 8² + x²

100 - 64 = x²

36 = x²

x  = √36

x = 6m

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