From the expression, which is the divisor? What did you do to the divisor to find the
quotient? ​

The points (0,10) and (-8,4) are solutions of the system of inequalities.

A system of inequalities refers to a set of two or more inequalities that are graphed together on the same coordinate plane. Each inequality in the system represents a region in the plane where the solution to that inequality lies.

To determine if a point is a solution of the system of inequalities, we need to check if it satisfies both inequalities. Let's check each point given:

(4,6):

8(4) + 5(6) = 47 > 40 (true)

-6(4) + 2(6) = -14 ≥ 18 (false)

(9,8):

8(9) + 5(8) = 97 > 40 (true)

-6(9) + 2(8) = -40 ≥ 18 (false)

(0,10):

8(0) + 5(10) = 50 > 40 (true)

-6(0) + 2(10) = 20 ≥ 18 (true)

(5,-6):

8(5) + 5(-6) = 34 > 40 (false)

-6(5) + 2(-6) = -30 ≥ 18 (false)

(-1,-8):

8(-1) + 5(-8) = -44 ≤ 40 (false)

-6(-1) + 2(-8) = 10 ≥ 18 (false)

(-8,4):

8(-8) + 5(4) = -24 ≤ 40 (true)

-6(-8) + 2(4) = 52 ≥ 18 (true)

Therefore, the points (0,10) and (-8,4) are solutions of the system of inequalities.

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Answer:

\(3\)×\(10^{-10\)

Step-by-step explanation:

Expand all the numbers:

Find the biggest number:

The biggest number is the list is 0.0000000003 which is \(3\)×\(10^{-10\) which will be your answer!

Have a lovely day :)

Answer:

\(32x^2 \sqrt[3]{2x} - 8x^3\)

Step-by-step explanation:

\(\hookrightarrow 4x\sqrt[3]{4x^2}\left(2\sqrt[3]{32x^2}-x^3\sqrt{2x}\right)\)

\(\hookrightarrow 8x\sqrt[3]{32x^2 } \sqrt[3]{4x^2} -4x^2 \sqrt[3]{4x^2} \sqrt[3]{2x}\)

\(\hookrightarrow 2^5\sqrt[3]{2}x^{\frac{7}{3}}-2^2\cdot \:2^{\frac{2}{3}}\sqrt[3]{2}x^3\)

\(\hookrightarrow 32\sqrt[3]{2}x^{\frac{7}{3}}-4\cdot \:2^{\frac{2}{3}}\sqrt[3]{2}x^3\)

\(\hookrightarrow 32x^2 \sqrt[3]{2x} - 8x^3\)

Answer:

18

Step-by-step explanation:

24 cm  is the height of cone .

What is known as a cone?

A cone is a three-dimensional geometric object with a smooth transition from a flat, generally circular base to the apex, also known as the vertex.

                                      A cone is a three-dimensional geometric structure with a smooth transition from a flat base—often but not always circular—to the point at the top, also known as the apex or vertex. Cone. a right circular cone having the following measurements: height, slant height, angle, base radius, and height.

V=1/3hπr²

V = 1/3 * h * 12π

96π = 1/3 * h * 12π

96π * 3/12π  = h

 8 * 3   = h

  h = 24 cm

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Answer:

x=-2

Step-by-step explanation:

Answer:

B. slope = Undefined, x = 3

Step-by-step explanation:

The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .

So the slope for this is undefined, since it's just a vertical line so, since the equation is x = k. If it's horizontal then it's 0.

the best fit for this is the first option slope = undefined, x = 3.

slope: Undefined

x-intercept: 3

Answer:

Its undefined

Step-by-step explanation:

Vertical is undefined

Horizontal is Zero

The linear inequality that will represent given graph is y<-10x+300.

What are linear inequalities, exactly?

Linear inequalities are mathematical expressions that compare two linear functions and determine the relationship between them. They are similar to linear equations but instead of an equal sign, they use inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "!=" (not equal to).

A linear inequality can be represented by an algebraic expression in the form of:

ax + by < c, where a, b, and c are constants, and x and y are variables.

Now,

The general form of a line is

y=mx+c

take two points on the given line

(5,250)  and (30,0)

then m=slope=(0-250)/(30-5)=-250/25

=-10

and

0=-10*30+c

c=300

then equation is y=-10x+300

and inequality will be y<-10x+300.

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Answer:

-definition of cosine

-definition of sine

-Pythagorean Theorem

-Substitution

-laws of exponents

Step-by-step explanation:

The blanks are filled by the definition of cosine, the definition of sine,  Pythagorean Theorem, substitution, and laws of exponents respectively.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Given the right triangle shown below, prove cos²(θ) + sin²(θ) = 1.

A triangle with sides x, y, and hypotenuse r.

Angle θ is opposite to side y.

As per the Laws of Cosine,

cos(θ) = x/r, and

As per the Laws of Sine,

sin(θ) = y/r.

Multiplying both sides of the above equations by r,

x = r cos(θ) and

y = r sin(θ).

The Pythagorean Theorem states that x² + y² = r².

By Substitution method, we have [r cos(θ)]² + [r sin(θ)]²= r².

Applying the Laws of Exponents, the equation can be written as r² cos²(θ) + r² sin²(θ) = r².

Dividing both sides of the equation by r² results in cos²(θ) + sin²(θ) = 1.

Hence, the blanks are filled by the definition of cosine, the definition of sine,  pythagorean theorem, substitution, and laws of exponents respectively.

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(1,2,4)

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

The fraction when five friends divide three bags of apples equally between them is 3/5.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Therefore, the fraction when five friends divide three bags of apples equally between them will be:

= Number of apple / Number of friends

= 3/5

The fraction is 3/5.

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the total cost of 4 nonmember tickets and 2 member tickets would be $116.

Why it is and what is financial literacy?

The expression to find the total cost of 4 nonmember tickets and 2 member tickets would be:

4($24) + 2($10)

This expression represents the cost of 4 nonmember tickets at $24 each, and 2 member tickets at $10 each.

To find the total cost, we simply need to evaluate this expression using basic arithmetic:

4($24) + 2($10) = $96 + $20 = $116

Therefore, the total cost of 4 nonmember tickets and 2 member tickets would be $116.

Financial literacy is the knowledge and skills required to manage one's personal finances effectively. It encompasses a range of topics, including budgeting, saving, investing, managing debt, understanding financial products such as credit cards and loans, and planning for retirement. Financial literacy also involves an understanding of financial concepts such as interest rates, inflation, and risk management.

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Function 1

Let us calculate the equation of the line of function 1 picking any two points

The two points picked are (1 , 0) and (0 , -4)

The formula for the equation given two points is

Given:

Hence,

Therefore, the equation for the function is

Where, the coefficient of x is the slope and the constant variable is the y-intercept.

Hence,

Function 2

Let us calculate the equation of the line of function 2 picking any two points from the data in the table.

The two points picked are (-2 , 8) and (2 , -12)

Therefore,

Hence,

Where,

Function 3

The given equation is

Function 4

Given:

Hence,

a) The functions that have graphs with slopes less than 3 are Function 2, Function 3 and Function 4.

b) The function that has the graph with a y-intercept closest 0 is Function 3.

c) The function that has the graph with greatest y-intercept is Function 4.

Discrete mathematics is focused on discrete objects and the relationships between them, while calculus is focused on continuous change and motion.

Discrete mathematics and calculus are two branches of mathematics that deal with different types of mathematical objects and concepts. Discrete mathematics studies discrete objects, such as integers, graphs, and algorithms, while calculus deals with continuous and smooth objects and their derivatives and integrals.

Discrete mathematics provides the mathematical foundations for computer science, especially in areas such as algorithm design, data structures, and complexity theory.

In contrast, calculus is a branch of mathematics that focuses on continuous change, and provides a foundation for many other branches of mathematics and science, including physics, engineering, and economics.

In discrete mathematics, concepts are studied in a finite and countable manner, meaning that the objects and structures being studied can be counted and identified.

For example, in graph theory, discrete mathematical structures like vertices and edges are studied and their properties are analyzed. In discrete mathematics, the focus is on finding relationships between discrete objects and how they can be manipulated, such as in combinatorics and number theory.

On the other hand, calculus deals with the study of change and motion, specifically the rate at which objects change and the accumulation of these changes over time.

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Answer:

12 1/4

Step-by-step explanation:

2in

3.5in

1.75in

equals:

12.25 or 12 1/4

The sampling procedure being used to collect completion time data in this scenario is based on paired samples or dependent samples.

In paired samples, each observation in one sample is uniquely linked or paired with an observation in the other sample. In this case, the workers are randomly selected, and each worker is assigned to use both production methods, one after the other. The completion time for each worker is measured under both methods, creating paired or dependent observations.

By using paired samples, the company can compare the completion times of the same workers using different production methods. This approach helps eliminate individual differences and other sources of variability among workers, focusing solely on the comparison between the two methods.

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According to the article, one way that the apple iPod and the Nintendo Wii are the same is both were innovative products that disrupted their respective industries

The Apple iPod and the Nintendo Wii are both electronic devices that were popular in the early 2000s. The iPod revolutionized the way people listened to music, while the Wii introduced a new way to play video games using motion controls.

The iPod had a simple and intuitive interface that made it easy to navigate and listen to music, while the Wii was designed to appeal to a broad audience, including casual gamers and families. The article was trying to explain how innovative both products were.

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Answer:

To solve the inequality ≤ \frac{3}{8}, we need to find all the values of x that will make the inequality true. We can start by setting the inequality equal to zero and solving for x.

x ≤ \frac{3}{8}

To graph the solution on a number line, we can use an open circle at \frac{3}{8} to indicate that the value is not included in the solution. So the solution set is: (-∞,3/8)

To solve the inequality > -\frac{9}{5}, we need to find all the values of x that will make the inequality true. We can start by setting the inequality equal to zero and solving for x.

x > -\frac{9}{5}

To graph the solution on a number line, we can use an open circle at -\frac{9}{5} to indicate that the value is not included in the solution. So the solution set is: (-9/5, ∞)

Step-by-step explanation:

Answer:

450 more words in the thirty minutes.

Answer:

Maria will type 450 more words than Helene

Step-by-step explanation:

Answer:

Easy 10000 like that was so easy

Step-by-step explanatLOLLO

The parametric equations for the line segment joining points P(1, 2, 0) and Q(1, 3, -1) are: x(t) = 1, y(t) = 2 + t, z(t) = -t.

To parametrize the line segment joining the points P(1, 2, 0) and Q(1, 3, -1), we can express the coordinates of points on the line segment as functions of a parameter, typically denoted by t. Let's define the position vector r(t) = (x(t), y(t), z(t)) as the vector that represents a point on the line segment. The parameter t will vary between 0 and 1, where t = 0 corresponds to point P and t = 1 corresponds to point Q. We can find the position vector r(t) by considering the vector equation of the line segment: r(t) = P + t(Q - P). Substituting the given coordinates of points P and Q: r(t) = (1, 2, 0) + t((1, 3, -1) - (1, 2, 0)). Simplifying: r(t) = (1, 2, 0) + t(0, 1, -1). Breaking it down into its components: x(t) = 1 + 0t = 1, y(t) = 2 + 1t = 2 + t, z(t) = 0 - 1t = -t. Therefore, the parametric equations for the line segment joining points P(1, 2, 0) and Q(1, 3, -1) are: x(t) = 1, y(t) = 2 + t, z(t) = -t. These equations describe all points on the line segment as the parameter t varies from 0 to 1.

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Answer: y=-5 x=5

explanation: look at the number the x and y is on

Answer:

Yes

Step-by-step explanation:

A rigid motion is a transformation that preserves the size and shape of the original image. A rigid motion was used to transform image A into image B and then a rigid motion was used to transform image B into image C.

The only change experienced by objects which undergo rigid motion or transformation is the relative change in the position of the objects such that the side which was upward before now face downward and other similar changes. Hence, objects which undergo rigid motion do not experience any change in size or shape.

Therefore, since the object A underwent rigid motion to form B, then B also underwent rigid motion to form C, we can conclude that the size and shape of image A will be preserved in image C.

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According to the discrete distribution given:

1) There is a 0.18 = 18% probability that on a randomly selected day there were no accidents.

2) There is a 0.7 = 70% probability that there will be at least 2 accidents.

3) On any given day, the Wilmington police should expect to have 2.03 accidents.

The distribution is:

\(P(X = 0) = x\)

\(P(X = 1) = 0.12\)

\(P(X = 2) = 0.32\)

\(P(X = 3) = 0.25\)

\(P(X = 4) = 0.13\)

Item 1:

The sum of the probabilities has to be 100% = 1, hence:

\(x + 0.12 + 0.32 + 0.25 + 0.13 = 1\)

\(x + 0.82 = 1\)

\(x = 0.18\)

0.18 = 18% probability that on a randomly selected day there were no accidents.

Item 2:

This probability is:

\(P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.32 + 0.25 + 0.13 = 0.7\)

0.7 = 70% probability that there will be at least 2 accidents.

Item 3:

The expected value is the sum of each outcome multiplied by it's respective probability, hence:

\(E(X) = 0.18(0) + 0.12(1) + 0.32(2) + 0.25(3) + 0.13(4) = 2.03\)

On any given day, the Wilmington police should expect to have 2.03 accidents.

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Answer:

Think of reflect as looking in a mirror. The question should tell you how your reflecting. It might say "reflect the rectangle over the y axis"  (Look at the attachment below to see example).

Step-by-step explanation:

I can help more if I see the question. But usually questions ask you to reflect over the y or x axis.

The equation which has exactly one solution is 4 (x + 3) = 7x – 6, and the solution is x = 6.

To solve the equations, we can use Multiplicative Distribution Law.

The first equation, 4 (x + 3) = 7x – 6, has exactly one solution that is x = 6.

4 (x + 3) = 7x – 6

4x + 12 = 7x – 6

4x – 7x = – 6 – 12

– 3x = – 18

x = 6

The second equation, 4 (x + 3) + 8 = 4x + 20, has all real numbers.

4 (x + 3) + 8 = 4x + 20

4x + 12 + 8 = 4x + 20

4x – 4x = 20 – 12 – 8

0 = 20 – 12 – 8

0 = 0

The third equation, 4 (x + 3) + 3x = 7x + 12, has all real numbers.

4 (x + 3) + 3x = 7x + 12

4x + 12 + 3x = 7x + 12

4x + 3x – 7x = 12 – 12

7x – 7x = 0

0 = 0

The last equation, 4 (x + 3) + 6 = 4x + 9, has no solution. It is a wrong equation.

4 (x + 3) + 6 = 4x + 9

4x + 12 + 6 = 4x + 9

4x – 4x = 9 – 12 – 6

0 = - 9

Hence, by using the Multiplicative Distribution Law, the equation which has exactly one solution is 4 (x + 3) = 7x – 6.

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Answer: (A)

Step-by-step explanation: 4(x + 3) = 7x - 6

trust

Answer:

\(\large\boxed{\tt x = 2}\)

Step-by-step explanation:

\(\textsf{We are asked to solve for x in the given equation.}\)

\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)

\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{How is this possible?}}\)

\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)

\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)

\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)

\(\textsf{of once.}\)

\(\large\underline{\textsf{For our problem;}}\)

\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)

\(\textsf{Property of Equality;}/tex]

\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)

\(\tt - x^{3} = 8\)

\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)

\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)

\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)

\(\underline{\textsf{Evaluate;}}\)

\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)

\(\textsf{*Note;}\)

\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)

\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)

\(\underline{\textsf{We should have;}}\)

\(\tt -x=2\)

\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)

\(\large\boxed{\tt x = 2}\)