What is the equation of the line that passes through the points (15, 9) and (-2, 9)?
PLEASE HELP ITS URGENT!!

The true statement about the function of area of by rectangle and width of rectangle are:

The correct answer option is options A and D

A rectangle is a quadrilateral having opposing sides parallel and four right angles.

At point (x, y) = (10, 100) the area is maximum.

This means that the area of the rectangle is maximum when width is 10m.

If the width of the rectangle is more than 10m, the area reduces or decreases.

Therefore, the statement Greater width relates to greater area as long as the width is more than 10 m is false.

The statement "To get the greatest area, the width should be 20" is false.

Complete question:

Simon has a certain length of fencing to enclose a rectangular area. The function A, models give the rectangles area (in square meters) as a function of its width (in meters).

Wlhich of these statements are true?

A. Greater width relates to greater area as long as the width is less than 10.

B. Greater width relates to greater area as long as the width is more than 10.

C. To get the greatest area, the width should be 10

D. To get the greatest area, the width should be 20

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Answer:

6inches^2

Step-by-step explanation:

a. Proposition: Boston is the capital of Massachusetts. Truth value: True.

b. Proposition: Miami is the capital of Florida. Truth value: False.

c. Proposition: 2+3=5. Truth value: True.

d. Proposition: 5+7=10. Truth value: False.

e. Not a proposition, as it contains a variable. It depends on the value of x.

f. Not a proposition, as it is a command, not a statement.

In order to determine which of the given sentences are propositions and their truth values, we need to understand what constitutes a proposition. A proposition is a declarative sentence that can be either true or false.

a. The sentence "Boston is the capital of Massachusetts" is a proposition because it is a declarative sentence that can be evaluated as either true or false. In this case, it is true.

b. The sentence "Miami is the capital of Florida" is also a proposition since it is a declarative sentence that can be evaluated as either true or false. In this case, it is false.

c. The sentence "2+3=5" is a proposition because it is a declarative sentence that expresses a mathematical equality, which is true.

d. The sentence "5+7=10" is a proposition as it is a declarative sentence expressing a mathematical equality, but it is false.

e. The sentence "x+2=11" is not a proposition because it contains a variable (x) and its truth value depends on the value assigned to x.

f. The sentence "Answer this question" is not a proposition because it is a command or an imperative sentence, rather than a statement that can be evaluated as true or false.

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Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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SOLUTION:

Case: Slope (Gradient)

Method:

The general form for slope-intercept is:

y= mx + c.

WHERE

m= slope,

c= intercept

The given equation:

-3x + y = 6

y= 3x + 6.

From the above,

slope , m = 3.

y- intercept, c= 6.

Final answer:

slope = 3.

y- intercept = 6.

The solution of the given problem of probability comes out to be

a)0.35

b)0.3625

c)0.23125

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance integers can be represented by any number between 0 and 1, for which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

(a) we can compute the integral of f(x) over the entire real line:

integral from -infinity to infinity of f(x) dx

= integral from -infinity to 3 of 0 dx + integral from 3 to 5 of (0.075x + 0.2) dx + integral from 5 to infinity of 0 dx

= (0.075/2)x² + 0.2x, evaluated from x=3 to x=5

= (0.075/2)(5²- 3²+ 0.2(5 - 3)= 0.35

Since the integral of f(x) over the entire real line is equal to 1, we have verified that the total area under the density curve is indeed 1.

(b) To calculate P(X ≤ 4), we can integrate the density function from x = 3 to x = 4:

P(X ≤ 4) = integral from 3 to 4 of (0.075x + 0.2)

dx = (0.075/2)x² + 0.2x,

evaluated from x=3 to x=4

= 0.3625

To compare this probability to P(X & lt; 4),

we can integrate the density function from x = 3 to x = 4:

P(X < 4) = integral from 3 to 4 of (0.075x + 0.2)

dx = (0.075/2) x²+ 0.2x,

evaluated from x=3 to x=4

= 0.3625

Since P(X ≤ 4) = P(X < 4) in this case, the two probabilities are equal.

(c) To calculate P(3.5 ≤ X ≤ 4.5), we can integrate the density function from x = 3.5 to x = 4.5:

P(3.5 ≤ X ≤ 4.5) = integral from 3.5 to 4.5 of (0.075x + 0.2)

dx = (0.075/2)x²+ 0.2x,

evaluated from x=3.5 to x=4.5

= 0.26875

To calculate P(X > 4.5), we can integrate the density function from x = 4.5 to x = 5:

P(X > 4.5) = integral from 4.5 to 5 of (0.075x + 0.2)

dx = (0.075/2)x²+ 0.2x,

evaluated from x=4.5 to x=5 = 0.23125

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Given:

Quantity=3722 ; Total quantity=25746

Let the percentage be 'x'

14.5% of 25746 is 3722.

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

The opposite sides are parallel to each other because the opposite sides have the same slope value.

When two sides or lines are parallel to each other, the value of their slope would be the same.

Slope of WZ = rise/run = -1/3

Slope of XY = rise/run = -1/3

Slope of XW = rise/run = 3/2

Slope of XW = rise/run = 3/2

Therefore, since the slopes of the opposite sides, then they are parallel to each other.

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Answer:

12/2=6

Step-by-step explanation:

You have to do the same thing to each side and try and move all the numbers to one side, leaving x alone so:

2x-5=7

+5:

2x=12

/2:

x=12/2

x=6

Answer:

Move all terms not containing x to the right side of the equation.

Add 5 to both sides of the equation.

2x=7+5

Add 7 and 5.

2x=12

Divide each term by 2 and simplify.

2x/2=12/2

Divide x by 1.

x=12/2 => x=6

Step-by-step explanation:

Answer: The antiderivative of the cosine function is the sine function, and the antiderivative of the sine function is the negative cosine function, with an arbitrary constant of integration added in each case.

In symbols:

∫ cos(x) dx = sin(x) + C

∫ sin(x) dx = -cos(x) + C

Here, C represents an arbitrary constant of integration, which is added to the antiderivative since the derivative of a constant is zero. These antiderivatives can be used to evaluate definite integrals involving the sine and cosine functions, and they are also important in calculus and physics, where they appear in many applications.

Step-by-step explanation:

Answer: C. The lines intersect but are not perpendicular.

Step-by-step explanation:

The correct option is C, the lines intersect but are not perpendicular.

To determine which statement is true about the two lines whose equations are given below:

y = 3x + 2

y = -4x + 9

We can compare the slopes of the two lines. The slopes of these lines are 3 and -4 respectively.

Two lines are parallel if and only if their slopes are equal. Since the slopes of these lines are not equal, we can eliminate options A.

Two lines are perpendicular if and only if the product of their slopes is -1. The product of the slopes of these lines is -12, which is not equal to -1. Hence, we can eliminate options B.

Since the lines are neither parallel nor perpendicular, they intersect. To determine whether they intersect perpendicularly, we can compute the angle between them using the slopes.

The angle between two lines is given by the formula:

\(tan \theta = \dfrac{(m_2 - m_1)}{ (1 + m_1m+_2)}\)

where m₁ and m₂ are the slopes of the two lines.

Substituting the slopes of the given lines, we get:

\(tan \theta = \dfrac{|(-4 - 3)} { (1 + (3 \times -4))|} \\\)

tanθ = 7 / 11

Therefore, the correct option is C: the lines intersect but are not perpendicular.

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The missing equation of lines are:

y = 3x + 2

y = -4x + 9

Answer: 3/10

Step-by-step explanation:

Take the derivative of \(10x^2-6x-3\) to get \(20x-6\). Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.

Now do:

\(20x-6=0\\20x=6\\x=\frac{6}{20} = \frac{3}{10}\)

There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.

Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value

Answer:

4 are pink

Step-by-step explanation:

We have an uneven denominator So basically we Times  2/5 by 2/2

and we get 4/10

So out of the 10, 4 are Pink.

I hope this helps!

A researcher conducts a survey of students randomly selected from Introduction to Social Work classes at State University. The researcher then attempts to generalize these findings to all college students. In this example, the target population is all college students. A population is the whole group that is the subject of a study or investigation.

When a researcher makes an attempt to generalize the findings of a sample to the population, the population becomes the target population .A sample is a subset of the population that the researcher selects and studies. A researcher takes a sample because it is usually impossible to survey an entire population.

As a result, the researcher employs statistical techniques to deduce information about the population based on the sample. To generalize the findings of a sample to the target population, the sample must be a representative sample of the target population. A representative sample is one that has the same characteristics as the target population; therefore, the conclusions drawn from the sample can be generalized to the population.

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In 2220 ways the innkeeper can assign the guests to the rooms i.e. Option B is correct.

As per the question,

There are Five friends and Five rooms,

⇒ 0 rooms of 2, 5 rooms of 1

⇒ 1 room of 2, 3 rooms of 1

⇒ 2 rooms of 2, 1 room of 1

Guests can be allotted rooms by the innkeeper as

              1, 1, 1, 1, 1,                 1, 2, 2,             or            1, 1, 1, 2

                                         =   5 × ( 4 2 ) × ( 5 2 ) ( 3 2 )

                                              assign frequencies to rooms

                                         =   5 × 4 × 3! ( 5 2 )

Total number of ways ( N )  =   To assign ( 1, 2, 2 ) + To assign ( 1, 2, 2 )  +      

                                                   To assign ( 1, 1, 1, 1, 1 )

                                              =   5 × ( 4 2 ) × ( 5 2 ) ( 3 2 ) +  5 × 4 × 3! ( 5 2 ) +

                                                   5!

                                              =    5 × ( 4 2 ) × ( 5 2 ) ( 3 2 ) + 120 ( 5 2 ) + 120

                                        N   =    2220 ways    

Therefore, The innkeeper can assign guests to the rooms in 2220 ways with no more than two friends per room i.e. option B is valid.

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Without specific information about the blood pressure levels of the twenty selected members before and after the program, it is impossible to say whether or not the program was successful in reducing the average systolic blood pressure level.

Based on the information given, the staff member at UF's wellness center selected twenty people to participate in a new stress reduction program in order to see if it would lower their high systolic blood pressure levels. The blood pressure levels of each member were measured before the program began, and again one month after it ended.
To determine whether the program reduced the average systolic blood pressure level, the staff member would need to compare the average systolic blood pressure level before the program to the average level after the program. If the average systolic blood pressure level decreased after the program, it could be inferred that the program was successful in reducing blood pressure levels.

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Floor space (Volume) of Firm 1's structure (cylinder)  is  230907.06 cubic ft

≈ 2.31 × 10⁵cubic ft.

Volume is characterised  as the three dimensional quantity that is used to guage the capacity of a solid shape. It implies the amount of three dimensional space a closed figure can fill. It is measured by its volume .  Some times volume can be interchanged as capacity. For instance,  the amount of water a cylindrical jar can occupy is measured by its volume .

The unit of volume is cubic units such as cubic meters, cubic centimeters , cubic millileters among others  .

Volume is gauged by multiplying the area of the shape with its third dimension .

A cylinder is a three dimensional space made up of two circular bases that are parallel to one another and are connected by a curved surface

Volume of the cylinder = \(\pi r^{2} h\)

where r = radius of the cylinder

h = height of the cylinder

Here given that, diameter of the cylinder = 70 ft

∴ radius of the cylinder = 35 ft

Additionally, height of the cylinder = 60 ft

∴ Volume of the cylinder = \(\pi\)× (35)²× 60 = \(\pi\)× 1225 × 60

= 3.14 × 1225 × 60 = 230907.06 cubic ft ≈ 2.31 × 10⁵ cubic ft .

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Answer: x × 15.6

The word "times" in the question indicates that we need to multiply a number x with 15.6.

Hope that helps...

Answer:

128/2=64/2=32

Step-by-step explanation:

you really need a help with that ? you don't know how to divide by 2 ? and then to divide the result another time by 2 ?

not to mention that you could achieve that with in division by 4 (as this is the save as dividing by 2 and then again by 2).

putting such questions in here is a farce and a waste of time for the helping people.

Explanation:

Each time we progress through a round, the teams count is cut in half.

After round one, there are 128/2 = 64 teams left (since we have 64 winning teams and 64 losing teams)

After the second round, there are 64/2 = 32 teams left over

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

ANSWER:

STEP-BY-STEP EXPLANATION:

To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.

To compare the two quantities, you need to divide the number of giraffes by the number of penguins.

30 giraffes / 6 penguins = 5

This means that there are 5 times as many giraffes as penguins at the zoo.

There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.

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Answer:

P(≥ 4) = 0.44

Step-by-step explanation:

The experimental probability of landing on a number greater than or equal to 4 can be calculated by adding the frequency of outcomes 4, 5, and 6 and dividing by the total number of trials.

The frequency of outcomes 4, 5, and 6 is 6 + 9 + 7 = 22.

The experimental probability of landing on a number greater than or equal to 4 is 22/50 = 0.44.

So, the answer is B. P(≥ 4) = 0.44.

Answer:

P(≥ 4) = 0.44  

Step-by-step explanation:

I took the test and it was right!

At a significance level of 0.01, we can confidently state that the student's claim is true.

The hypothesis in this question can be stated as follows:

Null Hypothesis: H0: μ1 = μ2 (There is no difference between the mean of four-year college enrollment and two-year college enrollment.)

Alternative Hypothesis: H1: μ1 > μ2 (Mean enrollment of four-year colleges is greater than the mean enrollment of two-year colleges in the United States.)

The significance level (α) is given as 0.01, which represents the probability of rejecting the null hypothesis when it is actually true.

To calculate the test statistic, we can use the formula:

z = ((X1 - X2) - (μ1 - μ2)) / √((σ1² / n1) + (σ2²  / n2))

Substituting the given values:

z = ((6193 - 4305) - (0)) / √((598²  / 35) + (572²  / 35))

z = 10.33

Since this is a right-tailed test, we need to compare the test statistic with the critical value. At a significance level of 0.01, the critical value is 2.33.

The calculated test statistic (10.33) is greater than the critical value (2.33). Therefore, we reject the null hypothesis and conclude that there is enough evidence to support the claim that the mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

In conclusion, at a significance level of 0.01, we can confidently state that the student's claim is true. The mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

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According to the given data, from 2005 to 2014, an average of 3,536 fatal unintentional drownings occurred annually, the total number of deaths from drowning each year would be 3,868.

For tornado deaths, we can calculate the average number of deaths per year from the given data. Adding up the number of deaths for each year and dividing by the number of years gives an average of approximately 124 deaths per year (60,595 total deaths divided by 488 years).

However, it's important to note that tornado death data is only available from 1875 to 2012, so this average may not be entirely accurate.

Comparing the two, it's clear that drowning deaths are much more common than tornado deaths in the United States. The average annual number of deaths from drowning (3,868) is over 30 times higher than the average annual number of deaths from tornadoes (124).

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