someone please help myst teacher never explains the hw

The equation that expresses WXY = 138° - YXZ by the angle is WXY = WXZ - YXZ.

In Trigonometry, an aspect is a shape that is composed of two rays, referred to as the angle's sides, which thus converge at a central point known as the angle's vertex. Several rays can create an angle inside this plane where they are connected. Additionally, when jets collide, an angle is created. Dihedral angles are what they are called. An perspective is a possible shape given two wavelengths or lines with both a common termination in planar geometry. The English term "angle" derives from the Latin verb "angulus," which meaning "horn." The vertex is the common ending of the two rays, also know as the sides of the angle.

given

An angle can be divided like ordinary numbers .

Here ,

Line XY divides ∠WXZ into ∠WXY & ∠YXZ

Therefore

∠WXZ = ∠WXY + ∠YXZ

The equation that expresses WXY = 138° - YXZ by the angle is WXY = WXZ - YXZ.

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Answer:

197 pounds of cans

Step-by-step explanation:

Find how many pounds of cans they have collected by subtracting 8 from both of their barrel weights:

115 - 8

= 107

98 - 8

= 90

Add these two weights together:

107 + 90

= 197

So, they collected 197 pounds of cans

Solution involves several steps:a) reduce coefficient matrix to row echelon form,b) find the adjoint,c) use Cramer's rule,d) find inverse using elementary row operations,e) determine rank by counting nonzero rows.

To solve the system of equations, we need to perform several steps:

(a) To reduce the coefficient matrix to row echelon form, we apply elementary row operations until the matrix has a triangular form. Specifically, we need to use the following operations:

Multiply a row by a nonzero constant.

Add a multiple of one row to another row.

Swap two rows.

(b) To find the adjoint of the coefficient matrix, we first calculate the matrix of cofactors by taking the determinant of each minor (the submatrix obtained by deleting one row and one column) and multiplying it by (-1)^(i+j), where i and j are the row and column indices of the element being deleted. Then we take the transpose of the matrix of cofactors to obtain the adjoint.

(c) To determine the solution using Cramer's rule, we calculate the determinants of the coefficient matrix and the matrices obtained by replacing each column in turn with the constants on the right-hand side of the equations. Then we divide each of these determinants by the determinant of the coefficient matrix to obtain the values of the variables.

(d) To find the inverse of the coefficient matrix using elementary row operations, we augment the matrix with the identity matrix and apply elementary row operations until the left half of the augmented matrix is the identity matrix. Then the right half of the augmented matrix is the inverse of the original matrix.

(e) To determine the rank of the coefficient matrix, we reduce it to row echelon form and count the number of nonzero rows. This gives the number of linearly independent rows in the matrix, which is equal to the rank.

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The confidence interval for the proportion of middle-income Americans who actively participate in the stock market is (0.225, 0.275) at 90% confidence level.

To find the confidence interval:

Sample size, n = 2800

Number of successes, X = 700

Sample proportion, p = X / n = 700 / 2800 = 0.25

Sample size n is large enough for using z-score for constructing the confidence interval.

Z-score at 90% confidence level is given by the Formula:

z = Z-score = 1.645 (rounded to 3 decimal places)

Using the formula of the confidence interval:

$$\text{Confidence Interval} = \text{sample proportion} \pm \text{z-score} \times \text{standard error}$$

The standard error can be calculated using the formula:

$$\text{Standard Error} = \sqrt{\frac{\text{sample proportion}(1-\text{sample proportion})}{\text{sample size}}}$$

By plugging the given values of the formula, we get;

Standard error = 0.01 (rounded to 2 decimal places)

The confidence interval at 90% is;

$$\text{Confidence Interval} = 0.25 \pm 1.645 \times 0.01$$$$\text{Confidence Interval} = (0.225, 0.275)$$

Therefore, the confidence interval for the proportion of middle-income Americans who actively participate in the stock market is (0.225, 0.275) at 90% confidence level.

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The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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Answer:

x=y+20

Step-by-step explanation:

y=x-20

Swap sides so that all variable terms are on the left hand side.

x-20=y

Add 20 to both sides.

x=y+20

Answer:

x= y+20

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

1/4x36=36/4=9

True. Stokes' theorem states that if we have a surface r whose boundary is a curve c, and f is a vector field, that provided that c and r are oriented compatibly, the circulation of f around c is equal to the flux of the curl of f through r.

Stokes' theorem states "for surface R whose boundary is a curve C, and F is a vector field, then provided that C and R are oriented compatibly, the line integral of F around C is equal to the surface integral of the curl of F over R."

This theorem relates the circulation of a vector field around a closed curve to the flux of its curl through the enclosed surface.

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Answer:4.62x10^13

Step-by-step explanation:

If two quantities have same units, they will be comprised of the same basic physical quantities and hence their dimensions will be same. Same dimensions do not represent the same physical quantity. For example, The kinetic energy and the potential energy are measured in the same units but they possess different physical quantities.

The minimal set of coordinates required to specify any point within a mathematical space is known as the dimension of the space in physics and mathematics. As a result, a line has a dimension of one because a point on it can be specified by a single coordinate, such as the point at 5 on a number line.

Two quantities with the same units will be made up of the same fundamental physical quantities, resulting in identical dimensions. The same physical quantity does not have the same dimensions. For instance, although having different physical properties, kinetic energy and potential energy are measured in the same units.

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The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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Answer:

it moves up

Step-by-step explanation:

Answer: $8

From the table given, we obtained the below information

Number of cars Money ($)

5 40

10 80

15 120

20 160

Calculate the constant rate of change in dollars per car

For the first given data

The total number of cars washed is 5

The total money to washed the 5 cars is $40

Rate of change in dollars per car = Total amount of money / the total number of cars

Rate of change = 40 / 5

= $8

The same procedure applicable to the rest data

For 10 cars and $80

The rate of change in dollars per car =80/10

= $8

For 15 cars and $120

The rate of change in dollars = 120 / 15

= $8

For 20 cars and $160

The rate of change in dollars per car = 160 / 20

= $8

The constant rate of change in dollars per car is $8

The answer is $8

Answer:

-3.1

Step-by-step explanation:

Just divide -15.5 by 5.

a. What is P(A), the probability that a randomly selected member is a lawyer?

= 50/90 ≈ 0.556 (rounded to three decimal places)

b. What is P(B), the probability that a randomly selected member is a liar?

= 50/90 ≈ 0.556 (rounded to three decimal places)

c. What is P(Not B), the probability that a randomly selected member is not a liar?

= 1 - P(B) = 1 - 50/90 ≈ 0.444 (rounded to three decimal places)

d. What is P(A and B), the probability that a randomly selected member is both a lawyer and a liar?

= 0, since it is not possible for a member to be both a lawyer and a liar at the same time.

e. What is P(A | B), the probability of randomly selecting a lawyer given that the member is a liar?

= 0, since it is not possible for a member to be both a lawyer and a liar at the same time.

f. What is P(A and Not B), the probability that a randomly selected member is both a lawyer but not a liar?

= P(A and Not B) = P(A) * P(Not B) = (50/90) * (40/50) ≈ 0.444 (rounded to three decimal places)

g. What is P(Not B | A), the probability that a lawyer is not a liar?

= P(Not B | A) = P(Not B and A) / P(A) = 0 / (50/90) = 0, since it is not possible for a member to be both a lawyer and a liar at the same time.

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Answer: a+b=b+a is a clear example of commutative property.

Step-by-step explanation: The commutative property applies to addition and multiplication. The property states that terms can “commute,” or move locations, and the result will not be affected. This is expressed as a+b=b+a for addition, and a×b=b×a for multiplication. The commutative property does not apply to subtraction or division.

Option D (No, as there are two heights associated with the wrist circumference of 16 cm.

An illustration of a relation is a function graph. In set theory and modern mathematical foundations, a function is truly equal to its graph.

The wrist circumferences and heights of six kids in Alyssa's class are represented by a collection of points in the graph that is shown.

The height is represented by the y axis, and the wrist circumference by the x axis.

Any relation is referred to as a function if there is only one value of y for any given value of x. The graph is referred to as a function if it passes the vertical line test, which requires that a vertical line be drawn and only touch the graph once.

There are two y values (162 and 165) on the above graph for the x value of x=16.

The graph is not a function as a result.

Among the possibilities The correct response is option D, "No," since the wrist circumference of 16 cm pairs with two heights.

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A two-dimensional array declared as int a[3][5] has a total of 15 elements. This is because it consists of 3 rows and 5 columns, and the total number of elements can be calculated by multiplying the number of rows by the number of columns (3 * 5 = 15).

A two-dimensional array declared as int a[ 3 ][ 5 ] has a total of 15 elements. This is because a two-dimensional array is essentially an array of arrays, where each "row" is itself an array of elements. In this case, we have 3 rows and 5 columns, so there are a total of 3 x 5 = 15 elements in the array. To understand this conceptually, we can think of the array as a table with 3 rows and 5 columns. Each element in the array corresponds to a cell in this table. So, we have a total of 15 cells in the table, and therefore a total of 15 elements in the array. It's important to note that when we declare an array in C++, we specify the number of rows and columns that we want the array to have. This means that the size of the array is fixed at compile time and cannot be changed during runtime. If we want to add or remove elements from the array, we would need to declare a new array with a different size. In conclusion, a two-dimensional array declared as int a[ 3 ][ 5 ] has 15 elements, corresponding to the 15 cells in a table with 3 rows and 5 columns.

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Answer: $180 for 4 shirts and 360 for 8 shirts (this includes the 10% discount for both answers)

Step-by-step explanation: First, we have to multiply 50 by 4, since each shirt is $50 and there are 4 shirts to purchase. The answer is $200, but you have a 10% discount to consider. 10% of 200 is 20, so subtract $20 from 200, and you get $180 for 4 shirts. To find out the amount of money it costs to pay for 8 shirts, you can simply add 180 and 180 together and it'll give you 360.  This way, the 10% discount will not be left out.

Let me know if this is right! :)

Answer:

I think the answers is 27, just add all of those squares.

The correct answer is d. 8, as it represents the greatest possible value for the integral of f(x) over the interval [0, 2].

Given that 2 ≤ f(x) ≤ 4 for all x in the interval [0, 2], we know that the function f(x) is bounded between 2 and 4 throughout the interval. To find the greatest possible value of the integral of f(x) over the interval [0, 2], we want to maximize the area bounded by the function and the x-axis.

Since the function is continuous and bounded, we can use the Fundamental Theorem of Calculus to find the integral. The integral of f(x) over the interval [0, 2] represents the area under the curve of f(x) between x = 0 and x = 2.

The maximum possible value of this integral occurs when the function is at its upper bound of 4 throughout the interval. Therefore, the greatest possible value of the integral is the area of the rectangle with a base of 2 (the width of the interval) and a height of 4, which is 2 * 4 = 8.

Hence, the correct answer is d. 8, as it represents the greatest possible value for the integral of f(x) over the interval [0, 2].

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Answer:

\( \huge \: t = \frac{13}{2} \)

Step-by-step explanation:

\(10t - 5 = 60\)

Using the addition property add 5 to both sides of the equation

That's

\(10t - 5 + 5 = 60 + 5 \\ 10t = 65\)

Divide both sides by 10

\( \frac{10t}{10} = \frac{65}{10} \\ t = \frac{65}{10} \)

Reduce the fraction with 5

We have the final answer as

\(t = \frac{13}{2} \\ \)

Hope this helps you

Answer:

t = 6.5

Step-by-step explanation:

10t - 5 = 60

Add 5 to each side

10t -5+5 = 60+5

10 t = 65

Divide each side by 10

10t/10 = 65/10

t = 6.5

The transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

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

The functions f(x) and g(x)

Where, we have

f(x) = x²

The translation 6 units left and 4 units up means that

g(x) = f(x + 6) + 4

So, we have

g(x) = (x + 6)² + 4

This means that the transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

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Answer:

12 gallons per hour

Step-by-step explanation:

Given the following :

Start time of flight = 9:30 a.m

Arrival time of flight = 1:45p.m

Gallons of gas used during duration of flight = 51 gallons

Number of hours spent during flight:

Arrival time - start time

1:45 pm - 9:30 am = 4hours and 15minutes

4hours 15minutes = 4.25hours

If 4.25hours requires 51 gallons of gas;

Then 1 hour will require ( 51 / 4.25)gallons

= 51 / 4.25

= 12 gallons

Therefore , the solution of the given problem of surface area comes out to be  route is 3 metres wide as a result.

The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.

Here,

The rectangular shape's exterior measurements are 12 + 2 m by 30 + 2 m (pool + path combined). As a result, the rectangle's area is:

=> (12 x 2 x 30 x 2 x) = 360 + 72 x + 60 x + 4 x 2 = 4 x 2 + 132 x + 360

=> 1008 - 360 = 648 square metres is the path's area.

The distance between the rectangle's and the pool's areas can be used to calculate the area of the path:

=> Area of path = (12 + 2x) × (30 + 2x) - 360 = 4x² + 132x

=> 4x² + 132x = 648

=> x² + 33x - 162 = 0

=> x = (-b ± √(b² - 4ac)) / 2a

where c = -162, a = 1, and b = 33.

=> x = (-33 ± √(33² - 4(1)(-162))) / 2(1) = (-33 ± 39) / 2

There are two potential answers: x = 3 and x = -54. Since the path's width cannot be zero,

We eliminate the possibility of x = -54, leaving us with x = 3.

The route is 3 metres wide as a result.

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Answer:

2nd, 3rd, and 6th option are correct

Step-by-step explanation:

using a²+b²=c² those are the obly that meet the criteria (im pretty sure)

In the given triangle equations AC² = AB² + BC², AB² = AD² + BD² and BC² = CD² + BD² are true.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.

Given that,

ABC is a right angle triangle.

And BD is perpendicular to AC.

To show the equations which are true,

Use Pythagorean theorem,

(Hypotenuse)² = (base)² + (height)²

In triangle ABC,

AC² = AB² + BC²

In triangle ABD,

(AB)² = AD² + BD²

And in triangle BCD,

BC² = CD² + BD²

Therefore, option (2), (3) and (6) are correct.

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Answer:

216

Step-by-step

40% of 360 is 144

then 360 - 144 = 216

did this help

This shows that if person u has at least d friends, then there must be at least one person in the group with exactly 1 friend.

Let's assume that person u has at least d friends in the group, where d is a positive integer.

Let's call these friends f1, f2, ..., fd.

Now consider the number of friends that each of these d friends has. We know that each of these d friends must have at most d-1 friends in the group (because they can't count person u as a friend again).

So if we consider the number of friends of these d friends, there are at most (d-1) friends for each of the d friends, giving a total of at most d(d-1) friends. Since there are d+1 people in the group (including person u), and at most d(d-1) friends among them, there must be at least one person who has only 1 friend. This is because if every person had at least 2 friends, there would be at least 2(d+1) friends in the group, which is greater than d(d-1) for d > 2.

So we have shown that if person u has at least d friends, then there must be at least one person in the group with exactly 1 friend.

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Compared to the 1970s, there has been an increase in the proportion of middle-aged women in the 2010s who have opted not to have children.

This trend is often attributed to factors such as increased access to birth control, greater career opportunities for women, and a shift in societal attitudes towards motherhood. However, it's worth noting that there are still many women who do choose to have children in their middle age, and the decision to have children is a deeply personal one that varies from individual to individual.

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