Find JL using the perpendicular or angle bisector method.

\(36 cm^3\) of pure alcoh ol must be added to the \(10 cm^3\) of the 8% solution to obtain \(10 + 36 = 46 cm^3\) of an 80% solution.

What is Algebraic expression ?

Algebraic expression can be defined as combination οf variables and constants

Let's first calculate the amount  of pure alcohol in the 8% solution:

Amount of pure alcohol = 8%  of \(10 cm^3 = 0.08 x 10 cm^3 = 0.8 cm^3\)

N ow, let's  assume \(x cm^3\)of pure alcohol must be added to the 10 cm^3 of the 8% solution to obtain a total volume of \(10 + x cm^3\) of an 80% solution. The amount of pure alcohol in the final solution would be:

ο\((10 + x) cm^3 = 0.8 (10 + x) cm^3\)

Since we started with \(0.8 cm^3\)of pure alcohol and we want to end up with  

\(0.8 (10 + x) cm^3\), we can set up the following equation:

\(0.8 + x = 0.8 (10 + x)\)ο

Simplifying and solving for x, we get:

\(0.8 + x = 8 + 0.8x\)

\(0.2x = 7.2\)

\(x = 36\)

Therefore, \(36 cm^3\) of pure alcohol must be added to the \(10 cm^3\)of the 8% solution to obtain \(10 + 36 = 46 cm^3\) of an 80% solution.

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Answer:

36cm^3

Step-by-step explanation:

Answer:13 1/2

Step-by-step explanation:4

1

To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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Answer: 10,800 ft/s

Step-by-step explanation: 180 * 60 = 10,800

Would appreciate brainliest <3

Answer:

\( \boxed{y = 10} \)

Step-by-step explanation:

-12 = 6y + 18 – 9y

[Group like terms 6y and -9y]

-12 = (6y – 9y) + 18

[Simplify the expression]

-12 = -3y + 18

[Subtract 18 from both sides, subtraction property of equality, to isolate the variable and the value]

-12 = -3y + 18

–18 –18

-30 = -3y

[Divide by -3 from both sides, division property of equality, to get the variable y by itself]

-30 = -3y

÷(-3) ÷(-3)

10 = y

[Symmetric property of equality, if b = a, then a = b]

y = 10

Answer:

the answer I got was 12.5 cm

78

Step-by-step explanation

by adding all the number and divide by the number of number

Answer:

78

Step-by-step explanation:

add all and divide by 7

Identify the vector field that you want to calculate the circulation for and the closed smooth oriented curve that you want to integrate over.

The circulation of a vector field on a closed smooth oriented curve can be calculated using Stokes' theorem, which relates the circulation of a vector field around a closed curve to the integral of the curl of the vector field over a surface bounded by the curve.

Here are the steps to calculate the circulation of a vector field on a closed smooth oriented curve using Stokes' theorem:

1.Identify the vector field that you want to calculate the circulation for and the closed smooth oriented curve that you want to integrate over.

2.Calculate the curl of the vector field. The curl is a vector that measures the amount of rotation or circulation of the vector field at each point in space.

3.Choose a surface that is bounded by the closed curve. The surface should be oriented such that its normal vector points in the same direction as the orientation of the curve.

4.Calculate the surface integral of the curl of the vector field over the chosen surface. This can be done using the formula:

∫∫(curl F) · dS

where (curl F) is the curl of the vector field, dS is an infinitesimal surface element, and the double integral is taken over the surface bounded by the closed curve.

5.Apply Stokes' theorem, which states that the circulation of the vector field around the closed curve is equal to the surface integral of the curl of the vector field over the surface bounded by the curve. Mathematically, this can be written as:

∮C F · dr = ∫∫(curl F) · dS

where ∮C F · dr is the circulation of the vector field around the closed curve, and the integral is taken over the curve.

6.Evaluate the surface integral of the curl of the vector field over the surface bounded by the curve and use it to calculate the circulation of the vector field around the closed curve.

Note that the orientation of the curve and the surface must be consistent for Stokes' theorem to hold.

If the orientations are not consistent, then the result obtained from Stokes' theorem will be negative of the actual circulation of the vector field around the closed curve.

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The correct statements regarding the congruent triangles are given as follows:

Congruent triangles are triangles in which the outer side lengths have the same measure.

Then the triangles ABC and triangle MNO are congruent by a sequence of rotations and translations, as both are right triangles.

Triangle JKL and triangle ABC are congruent by a single rotation, as the distances between the vertices of each triangle are equal.

The problem is given by the image shown at the end of the answer.

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The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

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1/70 is the probability of having slips numbered 1, 2, 3, and 4 drawn in order from the box.

To calculate the probability of drawing slips numbered 1, 2, 3, and 4 in order from a box containing slips numbered 1 through 8, we need to first find out the total number of possible outcomes when drawing four slips without replacement from the box.

The number of ways to draw 4 slips from a set of 8 slips without replacement is given by the combination formula:

= 8!/4!(8-4)! = 70

This means there are 70 possible outcomes when drawing four slips from the box.

To calculate the probability of drawing slips 1, 2, 3, and 4 in that order, we need to consider that there is only one way to draw the slips in that specific order, out of the 70 possible outcomes.

Therefore, the probability of drawing slips 1, 2, 3, and 4 in order is:

P(1,2,3,4 in order) =  number of favorable outcomes/total number of possible outcomes = 1/70

So the probability of drawing slips numbered 1, 2, 3, and 4 in order from the box is 1/70.

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Answer:

150° and 210°

Step-by-step explanation:

1) to drow a circle with radius=1 in the system of coordinates like in the attached picture;

2) to mark point (-√3/2)≈-0.866 on X-axis (in the picture it is the point M);

3) to graph line AB through point M, the line AB || Y-axis and the points A and B are on the circle with radius=1;

4) to measure the angles ∠ROA and ∠ROB (the points are marked with red colour);

5) finally, m(∠ROA)=150°; m(∠ROB)=210°.

To find the intervals of increasing or decreasing for the function f(x)=x^3 −6x^2 +9x+15, we first need to find its derivative:

f'(x) = 3x^2 - 12x + 9

To find the critical points where f'(x) = 0 or is undefined, we set f'(x) = 0 and solve for x:

3x^2 - 12x + 9 = 0

x^2 - 4x + 3 = 0

(x - 1)(x - 3) = 0

So the critical points are x = 1 and x = 3.

Next, we can use the first derivative test to determine the intervals of increasing or decreasing. We evaluate f'(x) at values of x in each interval determined by the critical points:

For x < 1: f'(x) < 0, so f(x) is decreasing

For 1 < x < 3: f'(x) > 0, so f(x) is increasing

For x > 3: f'(x) < 0, so f(x) is decreasing

Therefore, the function f(x) is increasing on the interval (1, 3) and decreasing on the intervals (-∞, 1) and (3, ∞).

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Since you have basic knowledge of computer hardware, an action which you should take as an ethical employee include the following: A. Initiate help by offering to check the computer.

A computer hardware can be defined as a physical component of a computer system or an information technology (IT) that can be seen, touched and replaced.

In Computer technology, there are various examples of a computer hardware and these include the following:

Based on ethical principles, we can reasonably infer and logically conclude that an ethical employee should initiate help by offering to help check the colleague’s computer since he or she has basic knowledge of computer hardware.

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Answer:

7.47 inches

Step-by-step explanation:

0.8 in : 1.5 ft

14 ft / 1.5 ft

9.33

9.33 x 0.8

7.464

Answer:

b

Step-by-step explanation:

the answer is 7.47 inches

Answer:

The probability of a random student being chosen who is a female and is not between the ages of 18 and 20 is 0.28 or 28%.

Step-by-step explanation:

we can use the principle of inclusion-exclusion and the given information about the probabilities.

Let's denote the event of a student being male as M, the event of a student being between the ages of 18 and 20 as A, and the event of a student being female as F.

We are given the following probabilities:

P(M) = 59% = 0.59

P(A) = 33% = 0.33

P(M ∩ A) = 20% = 0.20

We want to find the probability of a random student being chosen who is a female (F) and is not between the ages of 18 and 20 (¬A).

Using the principle of inclusion-exclusion, we can calculate this probability as:

P(F ∩ ¬A) = P(F) - P(F ∩ A)

To calculate P(F), we need to find the complement of P(M) (since P(F) + P(M) = 1):

P(F) = 1 - P(M) = 1 - 0.59 = 0.41

Now let's calculate P(F ∩ A):

P(F ∩ A) = P(A) - P(M ∩ A) = 0.33 - 0.20 = 0.13

Finally, we can calculate the probability of a random student being chosen who is a female and is not between the ages of 18 and 20:

P(F ∩ ¬A) = P(F) - P(F ∩ A) = 0.41 - 0.13 = 0.28

Therefore, the probability of a random student being chosen who is a female and is not between the ages of 18 and 20 is 0.28 or 28%

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Answer:

{x,y}={−5,−7}

Explain:

// Solve equation [2] for the variable  y [2]    3y = 7x + 14 [2]    y = 7x/3 + 14/3 // Plug this in for variable  y  in equation [1] [1]    8x - 3•(7x/3+14/3) = -19 [1]    x = -5 // Solve equation [1] for the variable  x [1]    x = - 5 // By now we know this much : x = -5 y = 7x/3+14/3 // Use the  x  value to solve for  y y = (7/3)(-5)+14/3 = -7 Solution : {x,y} = {-5,-7}

Hoped I helped

Answer:

Input:

f(x, y) = x^2 - y^2

Geometric figure:

hyperbolic paraboloid

3D plot:

3D plot

Contour plot:

Contour plot

Alternate form:

f(x, y) = (x - y) (x + y)

Alternate form assuming x and y are positive:

x^2 = f(x, y) + y^2

Properties as a function:

Domain

R^2

Range

R (all real numbers)

Parity

even

Partial derivatives:

d/dx(x^2 - y^2) = 2 x

d/dy(x^2 - y^2) = -2 y

Indefinite integral assuming all variables are real:

integral(x^2 - y^2) dx = x^3/3 - x y^2 + constant

The free throw accuracy of these players can be ranked from lowest to highest as Haller, Smith, Ballard, and Dennis.

What is a fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, or three-quarters.

To rank the free throw accuracy of these players from lowest to highest, we need to compare the fraction of free throws made to the total number of free throws taken by each player.

The fraction of free throws made to the total number of free throws taken is called the free throw percentage.

The free throw percentage for each player can be calculated by dividing the number of free throws made by the number of free throws taken and expressing the result as a decimal.

For example, the free throw percentage for Smith can be calculated as follows:

Free throw percentage = 13/19 = 0.68

We can use this same method to calculate the free throw percentage for the other players:

Haller: Free throw percentage = 12/20 = 0.6

Dennis: Free throw percentage = 14/17 = 0.82

Ballard: Free throw percentage = 17/22 = 0.77

Based on these calculations, the free throw accuracy of these players can be ranked from lowest to highest as follows:

Haller: Free throw percentage = 0.6

Smith: Free throw percentage = 0.68

Ballard: Free throw percentage = 0.77

Dennis: Free throw percentage = 0.82

Hence, the free throw accuracy of these players can be ranked from lowest to highest as Haller, Smith, Ballard, and Dennis.

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Answer:

c) (x +2)

e) ( 5 x -2)

Step-by-step explanation:

Explanation:-

Given equation  5 x² + 8 x – 4

The factors of  - 20 = 10 × - 2

                   ⇒      5 x ² + 10 x - 2 x - 4

                    ⇒      5 x ( x + 2) - 2 ( x + 2)

                     ⇒     (5 x - 2 ) ( x + 2)

The multiplies of given equation

                           5 x² + 8 x – 4 =   (5 x - 2 ) ( x + 2)

Vertex: (-2,1)

Maximum or Minimum: The graph has minimum point and gives minimum value because the minimum point gives the least y-value. That's why it is called minimum.

End of behavior:

When x approaches positive infinity, f(x) will approach positive infinity.

When x approaches negative infinity, f(x) will approach positive infinity as well.

Why no solution:

The graph doesn't intercept any x-axis. Therefore the graph doesn't have any solutions.

y-intercept: (0,5)

describe shape of the graph:

The graph decreases when x<0 and increases when x>0.

x<0 is concave up but decreasing

x>0 is concave up but increasing

Answer: D

Step-by-step explanation: reflecting about the line y=-1, followers by translating 8 units to the right

Answer:

x = 4

The diagonals are both 4

Step-by-step explanation:

The fact that the two sides have no letter in common indicates that they are opposite each other or a diagonal. In this case the length is a diagonal. Diagonals in a rectangle are equal.

4x - 12 = x                      Add 12 to both sides

4x - 12 + 12 = x + 12      Subtract x from each side

4x - x = 12

3x = 12                           Divide by 3

3x/3 = 12/3

x = 4

One of the diagonals = 4 because it is x.

Answer:

c

Step-by-step explanation:

I think its c..... I'm not really sure though

Answer:The correct awnser is C

Step-by-step explanation:

Using the volume x³ + 10x² + 19x  - 30, the missing side of the rectangular prism is (x + 6)

Two sides of a rectangular prism are x + 5 and x - 1. The volume of the rectangular prism is given as x³ + 10x² + 19x  - 30.

Let's find the missing side of the rectangular prism.

Therefore,

volume of a rectangular prism = lwh

where

Therefore,

volume of the prism = x³ + 10x² + 19x  - 30

Let's factorise it to find the missing side length

x³ + 10x² + 19x  - 30  = 0

(x - 1)(x² + 11x + 30)

let's factorise x² + 11x + 30

x² + 11x + 30

x² + 5x + 6x + 30

x(x + 5) + 6(x + 5)

(x + 6)(x + 5) = 0

Therefore, the side length of the rectangular prism are (x - 1), (x + 5) and (x + 6)

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Answer:

yellow

Step-by-step explanation:

Answer:

32.

Step-by-step explanation:

This is an arithmetic sequence with first term a1 = -6 and common difference 2.

an = a1 + d(n - 1)

a20 = -6 + 2(20-1) = 32

Answer:

Step-by-step explanation: Mean Absolute Error is a model evaluation metric used with regression models. The mean absolute error of a model with respect to a test set is the mean of the absolute values of the individual prediction errors over all instances in the test set.