What is the equation of a horizontal line through (0, -1)?
Choose one 4 points
Oy=0
Ox=0
O y = -1
O x=11

Answer:

\(\frac{0.93}{0.57}\)

Step-by-step explanation:

Simplify both of the fractions so \(\frac{14}{15}\) to get 0.93 and \(\frac{4}{7}\) to get 0.57.

Then you put them back into fraction form.

The value of the composite function (mn)(-3) is 9

The given parameters are:

m(x) = x

n(x) = -3

The composite function is given as

(mn)(x)

The above composite function is calculated as

(mn)(x) = m(x) * n(x)

Substitute -3 for x in the above function

So, the above function becomes

(mn)(-3) = m(-3) * n(-3)

So, the above function becomes

(mn)(-3) = -3 *-3

Evaluate the product in the above equation

So, we have

(mn)(-3) = 9

Hence, the value of the composite function (mn)(-3) is 9

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Complete question

If m(x) = x and n(x) = -3, calculate ( m n ) (x) for x = −3

Answer:

length = 8; width = 3

perimeter = 22

area = 24

Step-by-step explanation:

L(- 1,3), M(2,3)

LM = |-1 - 2| = 3

M(2,3), N(2, - 5)

MN = |-5 - 3| = 8

length = 8; width = 3

perimeter = 2(L + W) = 2(8 + 3) = 22

area = LW = 8 × 3 = 24

We know that there are 1000 mL in 1 L

5.6 L *1000 mL

-----------

1 L

The L's cancel, leaving

5.6 * 1000 mL

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

1

5600 mL

Answer:

I believe it would be 9,328nine

Answer:

just add up all of the numbers and then you get 9318 as the answer

Answer:

28.07°

Step-by-step explanation:

use SohCahToa

in this case we use tan^-1 to get the angle x°

tan^-1(8/15)=28.07248694

to the nearest hundredth

=28.07°

f = 4/5

explanation

f(10) = 8

so you divide both sides by ten in order to isolate the variable

10f/10  8/10

you now have

f = 8/10

simplify 8/10 to get

f = 4/5

hopefully i explained it well :)

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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12.5% is the percentage error of eve's estimation.

The accuracy and proximity of an estimate to the actual value of a specific experiment or quantity are measured in terms of percent error. Using this strategy, you may assess whether or not the data collecting is going in the proper path. Experts in statistics and big businesses are its main users. Students that are interested in studying economics should place a high priority on it.

Given, Eve took a road trip to visit an old friend. She expected the drive to take 3 hours and 30 minutes, but she was delayed by construction and it actually took 4 hours.

From the general formula of percentage error = \(\frac{actual value - expected value}{actual value}* 100\)

for our given data, Actual value = 4

estimated value = 3.5

Thus, percentage error = (4-3.5)/ 4 = (1/8)*100 = 12.5

Therefore, Eve's estimate has a percentage inaccuracy of 12.5%.

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Answer:

15

Step-by-step explanation:

Shawn: 35x - 250

Nick: 25x - 100

35x - 250 = 25x - 100

          10x = 150

              x = 15

Let's determine the values of f(x) based on the given x-values using the following function:

At x = -9,

At x = -8,

At x = -1,

At x = 15/2,

At x = 10,

In Summary,

At x = -9, f(-9) = -15/8

At x = -8, f(-8) = -14/15

At x = -1, f(-1) = 21/4

At x = 15/2, f(15/2) = 87/2

At x = 10, f(10) = 68/3

Answer:

A

Step-by-step explanation:

I just did it

Answer:

2l+2w, 60+60+30+30

Step-by-step explanation:

2(length)+2(width)

The perimeter of the ballroom will be represented by 2l+2w, and 2( 60 + 30 ).

The perimeter of a closed shape is the overall length of the boundary. As a result, the perimeter of that shape is determined by adding up all of its sides. Therefore, Perimeter(P) = Sum of All Sides is the perimeter formula.

A quadrilateral with four right angles is a rectangle. As all of its angles are equal, it can alternatively be described as an equiangular quadrilateral or a parallelogram with a right angle.

Given that a ballroom is 60 ft long and 30 ft wide. The equation for the perimeter of the ballroom will be calculated as:-

Perimeter = 2 ( l +  w)

Perimeter = 2 ( 60 + 30 )

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Answer:

From prove

Step-by-step explanation:

from prove

Explanation

Two angles are called complementary when their measures add to 90 degrees

First check for the critical points of f by checking where the first-order derivatives vanish.

\(\dfrac{\partial f}{\partial x}=4x-4=0\implies x=1\)

\(\dfrac{\partial f}{\partial y}=2y-4=0\implies y=2\)

Notice how the point (1, 2) lies on the line y = 2x ; at this point, we get a value of f(1, 2) = -5 (MIN).

Next, check the points where the boundary lines intersect, which occurs at the points (0, 0), (0, 2), and (1, 2). We already checked the last one. We find f(0, 0) = 1 (MAX) and f(0, 2) = -3.

Now check on the boundary lines themselves. If x = 0, then

\(f(0,y)=y^2-4y+1=(y-2)^2-3\)

which has a maximum value of -3 when y = 2 (so we get the same critical point as before).

If y = 2, then

\(f(x, 2)=2x^2-4x-3=2(x-1)^2-5\)

with a maximum of -5 when x = 1.

If y = 2x, then

\(f(x,2x)=6x^2-12x+1=6(x-1)^2-5\)

with the same maximum of -5 when x = 1.

This question is based on the absolute maximum and absolute minimum.

We get this by differentiating the terms.

Given:

f(x,y) =   \(2x^{2} - 4x + y^2 - 4y +1\), bounded by the lines x=0,y=2,y=2x in the first quadrant,bounded by the lines x=0,y=2,y=2x in the first quadrant.

We need to determined the absolute maximum and absolute minimum of the function.

Now, partial differentiating wrt x and y.

\(\dfrac{\partial f}{ \partial x} = 4x -4 = 0 \Rightarrow x= 1 \\\dfrac{\partial f}{ \partial y} = 2y - 4 = 0 \Rightarrow y = 2\)

Now, point (1, 2) lies on the line y = 2x ; at this point, we get a value of

f(1, 2) = -5 (MIN).

Next, check the points where the boundary lines intersect, which occurs at the points (0, 0), (0, 2), and (1, 2).

Now, find f(0, 0) = 1 (MAX) and f(0, 2) = -3.

Now check on the boundary lines themselves.

If x = 0, then we get,

\(f(0,y) = y^2 - 4y +1 = ( y-2)^2 -3\\\)

which has a maximum value of -3 when y = 2 (so we get the same critical point as before).

If y = 2, then we get,

f(x,2) = \(2x^2-4x -3 = 2(x-1)^2 -5\) with a maximum of -5 when x = 1.

If y = 2x, then we get,

f(x,2x) = \(6x^2 -12x +1 = 6(x-1)^2 -5\) with the same maximum of -5 when     x = 1.

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Answer:

0.628

Step-by-step explanation:

From the information given:

Let S represent sunny days and C represent cloudy days;

S is expressed in the matrix to be in the first row and first column

C is expressed in the matrix to be in the second row and second column

Then, the transition for the probability matrix can be computed as follows:

\(P = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right]\)

\(P^2 = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right] \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right]\)

\(P^2 = \right. \left[\begin{array}{cc}0.49+0.15&0.21+0.15\\0.35+0.25&0.15+0.25\\\end{array}\right] \right.\)

\(P^2 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right.\)

\(P^3 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right. \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right]\)

\(P^3 = \right. \left[\begin{array}{cc}0.628&0.372\\0.62&0.38\\\end{array}\right] \right.\)

So, if it is sunny, the probability that it is going to be sunny 3 days later = 0.628

Using the transition of the events, it is found that there is a 0.628 = 62.8% probability that it will be sunny 3 days later.

The transition of events, considering that it is sunny today and we want it to be sunny 3 days later, is given by:

S - S - S - S

S - C - S - S

S - S - C - S

S - C - C - S

Considering the probabilities stated in the exercise(S - S: 0.7, S - C: 0.3, C - S: 0.5, C - C: 0.5), for the last three days, the probability is:

\(p = 0.7^3 + 0.3(0.5)(0.7) + 0.7(0.3)(0.5) + 0.3(0.5)(0.5) = 0.628\)

0.628 = 62.8% probability that it will be sunny 3 days later.

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Answer:

Initial value

177000

Final value

174,876

Decrease

1.2%

Difference

-2,124

The equations that could be used to solve for the number of male runners (m) in the race are (m+75)/m = 3 / 2 and 150 + 2m = 3m. The correct options are A and B.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that at a running race, the ratio of female runners to male runners is 3 to 2. There are 75 more female runners than male runners.

The ratio is written as,

f/ m = 3 / 2

There are 75 more female runners than male runners.

f = m + 75

The equation can be written as,

f / m = 3 / 2

( m + 75 ) / m = 3 / 2

Or

150 + 2m = 3m

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In the shape that we have here, JK≅LM

From the shape we can see that the line JK is equal to LM

A congruent line is a line that has the same length as another line. In other words, two lines are congruent if they have the same measure or length. The term "congruent" comes from geometry, where it is used to describe figures that are identical in size and shape.

In geometry, we can use various methods to determine if two lines are congruent. One common method is to use a ruler to measure the length of the lines, and then compare the measurements. If the lengths of the lines are equal, then they are congruent.

In the shape, the line that is shown here tells us of the line that is from any point of the circumference as it goes to another pointer of the circumference.

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The probability of the event for the given odds in favor (4 to 7) is found as 4/11.

To continue solving, we must represent the ratio as a fraction.

Thus, we have the depiction shown below.

Odds ratio equals 4/7

We use the following equation to translate the aforementioned odd's expression into a probability expression.

This is displayed as

P = (Odds + 1)/(Odds).

Replace the unknown values in the equation above.

The following equation is what we have.

P = (4/7)/(4/7 + 1)

Analyze the amount

This results

P = (4/7)/(11/7)

Put the quotient in product form.

P = (4/7) * (7/11)

Evaluate

P = 4/11

Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.

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Answer:

t = 55

Step-by-step explanation:

The figure is a  straight line and the sum of angles that make a straight line is 180 degrees

90 + t+ 35 = 180

125+t = 180

Subtract 125 from each side

125 +t-125 = 180-125

t = 180-125

t = 55

The vertex of the graphed function f(x) = [x - 4] + 3 is (4, 3).

The function f(x) = [x - 4] + 3 is in the form of an absolute value function, where the expression inside the absolute value brackets represents the input value shifted horizontally by 4 units to the right.

The constant term of 3 represents a vertical shift upwards by 3 units.

To find the vertex of this function, we need to determine the x-coordinate that corresponds to the minimum value of the absolute value function.

In this case, since the absolute value function is within brackets and not being multiplied or divided by a coefficient, the minimum value occurs at the point where the expression inside the brackets equals zero.

Therefore, setting x - 4 = 0, we find x = 4.

Substituting this x-value into the function, we find f(4) = [4 - 4] + 3 = 3. So the vertex of the graphed function is located at the point (4, 3), where x = 4 and y = 3. This means that the graph is shifted 4 units to the right and 3 units upward from the origin.

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The slope of the Least-Square Regression Line is 1.585 from the regression output given, hence, for each additional increase in hand span, the number of pretzels increases by 1.585

Given that,

A graph titled Grabbing Pretzels has hand span (centimeters) on the x-axis, and number of pretzels on the y-axis. A line goes through points (19, 16) and (22, 20).

Predictor Coef SE Coef t-ratio p

Constant -14.71 4.317 1.689 0.046

Hand spun 1.585 0.310 5.114 0.000

S = 3.05 R-Sq = 52.1% R-Sq(Adj) = 51.7%

The slope of a linear regression line gives the rate of increase in y-value per change in x

The Handspun Coefficient on the table is the slope of the regression line

Therefore, for every 1 centimeter increase in handspun, number of pretzels increases by 1.585

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complete question:

The scatterplot displays the number of pretzels students could grab with their dominant hand and their handspan, measured in centimeters. An analysis was completed and the computer output is shown.

A graph titled Grabbing Pretzels has handspan (centimeters) on the x-axis, and number of pretzels on the y-axis. A line goes through points (19, 16) and (22, 20).

Predictor Coef SE Coef t-ratio p

Constant -14.71 4.317 1.689 0.046

Handspan 1.585 0.310 5.114 0.000

S = 3.05 R-Sq = 52.1% R-Sq(Adj) = 51.7%

Using the computer output, the slope of the least-squares regression line means for each additional

Answer: we might have come across different types of lines such as parallel lines, perpendicular lines, intersecting lines, and so on. Apart from that, we have another line called transversal.                                                                                    

This can be observed when a road crosses two or more roads or a railway line crosses several other lines. These give a basic idea of a transversal. Transversals play an important role in establishing whether two or more other lines in the Euclidean plane are parallel.

In this article, you will learn the definition of transversal line, angles made by the transversal with parallel and non-parallel lines with an example.  

SOOO in English its LM is the transversal made by the parallel lines PQ and RS such that:

The pair of corresponding angles that are represented with the same letters are equal.

If two parallel lines are cut by a transversal, each pair of alternate interior angles are equal. Transversal property 2

Answer:

The median is 6

Step-by-step explanation:

First put the numbers in order: 3,4,4,4,5,7,7,8,9,12

Here, the 5th & 6th terms are 5 &7

So, median = 5+7/2

=12/2

=6

Answer:

6

Step-by-step explanation:

For funding out the median firstly we need to arrange the data in ascending or descending order . Here on arranging the given data in ascending order we have ,

The median is the middle most observation , in case of odd nos . And the mean of two middlemost observations in case of even nos . Here the number of data is even , and the two middlemost observations are 5 and 7 , so ,

=> Median = x₁ + x₂ / 2

=> Median = 5 + 7/2

=> Median = 12/2

=> Median = 6