Please help, will rate 5 stars!!! You are having a conference call with the CEO of a paper company. You have interpreted the number of trees cut down versus profit as the function P(x) = x^3 - 5x^2 − 2x + 24
A.) how many zeros/roots will we have? Explain how you know. (1 points)

B.) What are the x-intercepts/roots/zeros? Show your work for finding these... (This should take some work to find! We did this in section 4.6) (5 points)

C.) What is the y-intercept of the graph? Explain how you know. (1 points)

D.) Describe the end behavior of this graph (3 points)

[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{11\pi }{6}\\[1em] r=18 \end{cases}\implies s=18\cdot \cfrac{11\pi }{6}\implies s=33\pi \implies s\approx 104~cm[/tex]

Answer:

  MN = 9

Step-by-step explanation:

You want MN if KL : LM : MN = 2 : 3 : 1 and KN = 54.

The fraction of the total length that is segment MN is ...

  MN/KN = 1/(2+3+1) = 1/6

Multiplying by KN, we have ...

  MN = 1/6·KN = 1/6·54 = 9

The length of MN is 9.

The percentage of players weighing less than or equal to 233 pounds is 88.04%.

Percentage

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

See attachment for box plot,

From the box plot, the maximum is ,

Max = 244

the maximum is.

Min = 152

Percentage less than 233 is calculated as:

percentage = (233 - min)/ max - min

percentage = (233 - 152)/ 244 - 152

percentage = 81/92

express as percentage,

= 81/92 *100

= 8100/92

= 88.04%

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Answer: 75%

Step-by-step explanation: got it right

Answer:

y = 33X^2 + 55

Step-by-step explanation:

by expanding the equation you provided, we will get the answer

be reminded, the general form of a quadratic equation us,

y =ax^2+bx+c

Answer:

15

--- = 15

1

Step-by-step explanation:

keep change flep

The surface area of the prism is 142 square in

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

The net of a rectangular prism

The surface area of the prism is the sum of the individual shapes that make up the net

Using the above as a guide, we have the following:

Surface area = 2 * 7 * 3 + 2 * 5 * 3 + 2 * 5 * 7

Evaluate the sum of products

Surface area = 142

Hence, the surface area is 142 square in

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The domains of the functions are [-8, 6] and [-16, 12]

See attachment for the graph of the function f(2x)

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

The x values of f(x) start from -8 and ends at 6

This means that

Domain of f(x): [-8, 6]

For f(2x) after the dilation. the domain is

Domain of f(2x):[-16, 12]

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Answer:

The answer can be written in multiple forms

[tex]4 \left(x-2 \right)[/tex]  or   [tex]4x-8[/tex]

Step-by-step explanation:

Given "4 times the difference of x and 2​".

"Times" is multiplication and can be expressed as *

"the difference of x and y" can be expressed as (x -y)

Therefore in this example we can write

[tex]4 \left(x-2 \right)[/tex]

We can leave it as is or simplify it further.

We can simplify it by applying  the distributive property.

Distribute the 4.

[tex](4*x)-(4*2)[/tex]

[tex]4x-8[/tex]

A prime number doesn't have sequence so, it cannot be model with sequence.

Prime numbers are number that can only be divided by itself and 1.

E.g 2,3,5,7,11,13,17,19,23,29 etc.

So, note that this sequence doesn't have a pattern, it is neither Geometry Progression nor Arithmetic Progression.

Now, let take look at the model given

If n is prime, then 2n-1 is prime

Let take 5 for

n=5 is a prime number

2n-1=2(5)-1=10-1=9

9 is not a prime number so the model doesn't work

A prime number doesn't have sequence so, it cannot be model with sequence.

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The ratio of flutes to tubas in a middle school band is 5 to 2, which represents the number of flutes for every 2 tubas in the band. This ratio can be written in three different ways to express the same relationship between the number of flutes and tubas:

5:2 - This is the fraction form of the ratio, where the number of flutes is written before the colon and the number of tubas is written after the colon.

5/2 - This is the fraction form of the ratio, where the numerator represents the number of flutes and the denominator represents the number of tubas.

2.5 flutes per tuba - This is the rate form of the ratio, where the number of flutes is written as the number of flutes per tuba. This way of expressing the ratio is commonly used to show the average number of flutes for every 1 tuba in the band.

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The perimeter of the triangle is given by the equation P = 42.588 m

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the perimeter of the triangle be represented as P

Let the right triangle be represented as ABC

Now , the hypotenuse of the triangle is AC = 18m

And , the measure of ∠ACB = 30°

From the trigonometric relations ,

Let the angle be θ , such that

sin θ = opposite / hypotenuse

Substituting the values in the equation , we get

sin 30° = AB / 18

On simplifying the equation , we get

Multiply by 18 on both sides of the equation , we get

sin 30° = 1/2

AB = 18/2

The opposite side of the triangle AB = 9 m

Now , the base of the triangle BC is calculated from Pythagoras theorem

hypotenuse² = base² + height²

So , base BC² = ( 18 )² - ( 9 )²

The base of the triangle BC = √ ( 324 - 81 )

The base of the triangle BC = 15.588 m

Now , the perimeter of the triangle P = opposite side of the triangle AB + base of the triangle BC + hypotenuse of the triangle AC

The perimeter of the triangle P = 18 + 9 + 15.588

The perimeter of the triangle P = 42.588 m

Hence , the perimeter of the triangle is 42.588 m

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The solution to the inequality 10 x 2^n > 1000 + 500n is given as follows:

n < -1.995 or n > 9.119.

The intervals for which a function is positive are the intervals for which the function graph lies above the x-axis.

The inequality for this problem is given as follows:

10 x 2^n > 1000 + 500n

Moving everything on the expression to the left side, the inequality is given as follows:

10 x 2^n - 1000 - 500n > 0.

Hence the function that we must obtain where it is positive is given as follows:

f(n) = 10 x 2^n - 1000 - 500n.

From the image given at the end of the answer, the interval is given as follows:

n < -1.995 or n > 9.119.

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The value of a is 0 and b is 1.55

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We have to find the values of "a" and "b",

we can use the exchange rate £1 = €1.55.

When the number of pounds is 0,

The equivalent number of euros is 0 × €1.55 = €0,

so (0, a) = (0, 0).

a=0

The number of pounds is 1

The equivalent number of euros is 1 × €1.55 = €1.55,

so (1, b) = (1, 1.55).

b=1.55

Hence, the values of a is 0 and b is 1.55

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The experimental probability that Dave works will be in a wedding in next week is 7 / 22.

Actual experiments and sufficient documentation of the occurrence of occurrences serve as the foundation for experimental probability, sometimes referred to as empirical probability. A number of real experiments are carried out in order to ascertain the likelihood of any event. Random experiments are studies that don't have a predetermined outcome. The results of such experiments are unpredictable. The likelihood of random experiments is calculated repeatedly. A trial is a repeating of an experiment that is performed a certain number of times.

The probability that Dave will work in a wedding is given as:

P = Working in wedding / Sum of total work

P = 14 / 44

P = 7 / 22

Hence, the experimental probability that Dave works will be in a wedding in next week is 7 / 22.

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The expression that represents the amount in grams the caterpillar eats in one day is  C) 14m

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Let, The birth mass of the caterpillar be 'm'.

Given, It eats 1400%, percent of its birth mass in one day.

Therefore, The equation representing the amount, in grams, the caterpillar eats in one day is,

= (1400/100)×m.

= 14×m.

= 14m.

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The probability of rolling two sixes is 1/25.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given, the probability of rolling a 6 on a biased dice is 1/5.

Since the probability of rolling a six on the first roll is 1/5, then probability of not rolling a six on first roll is;

P(not 6) = 1 - 1/5

P(not 6) = 4/5

A) Please find attached the completed tree diagram

B) First Roll:

P(6) = 1/5

P(not 6) = 4/5

Second Roll:

Now,

P(6 | 6) = 1/5 × 1/5

= 1/25

P(6 | not 6) = 1/5 × 4/5

= 4/25

So, P(not 6 | 6) = 4/5 × 1/5

= 4/25

P(not 6 | not 6) = 4/5 × 4/5

= 16/25

Therefore, the probability of rolling two sixes is 1/25.

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"Your question is incomplete, probably the complete question/missing part is:"

The probability of rolling a 6 on a biased dice is 1/5

1) complete the tree diagram.

2) Work out the probability of rolling two sixes.

The solution is, the Bank of Peace will pay Marco more in interest over the 3-year period, Marco should choose the Bank of Peace to get the most interest, the total amount of interest that Marco will earn from the Bank of Trust over the 3-year period is, = £870.

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

here, we have,

To determine which bank will give Marco the most interest over the 3-year period, we need to calculate the total amount of interest that each bank will pay Marco over the 3 years.

First, let's consider the Bank of Peace.

Since the interest rate is 2.5% per year and is compounded annually, Marco will earn 2.5/100 * £15000 = £375 in interest in the first year. In the second year, the interest will be calculated on the original £15000 plus the £375 of interest earned in the first year, for a total of £15000 + £375 = £15375.

So Marco will earn 2.5/100 * £15375 = £383.44 in interest in the second year. In the third year, the interest will be calculated on the original £15000 plus the £375 of interest earned in the first year and the £383.44 of interest earned in the second year, for a total of

£15000 + £375 + £383.44 = £15728.44.

So Marco will earn 2.5/100 * £15728.44 = £391.71 in interest in the third year.

Therefore, the total amount of interest that Marco will earn from the Bank of Peace over the 3-year period is £375 + £383.44 + £391.71 = £1150.15.

Now let's consider the Bank of Trust. In the first year, Marco will earn 3.8/100 * £15000 = £570 in interest.

In the second year, the interest rate is 1%, so Marco will earn 1/100 * £15000 = £150 in interest. In the third year, Marco will also earn £150 in interest.

Therefore, the total amount of interest that Marco will earn from the Bank of Trust over the 3-year period is £570 + £150 + £150 = £870.

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The minimal value of n for which there is at least a 0.90 probability of the system functioning is 4, which is the smallest conceivable value.

The likelihood of a 3 out of 5 system working was calculated to be 0.9914.

Think about the 3 out of 4 system.

A minimum probability of 0.90 must exist for 3 out of 4 systems to function.

Calculate the likelihood that a 3 out of 4 system will function as follows:

[tex]P (X ≥ 3) = 1 - P (X < 3) = 1 - P (X = 0) - P (X = 1) - P (X = 2)[/tex]

A three out of four system having a good chance of working is 0.9477.

Take a look at a 3 out of 3 system.

See if the likelihood of a 3 out of 3 system operating is at least 0.90.

Calculate the likelihood that a 3 out of 3 system will function as follows:

[tex]P (X ≥ 3) = 1 - P (X < 3) = 1 - P (X = 0) - P (X = 1) - P (X = 2)[/tex]

A three-out-of-three system's likelihood of success is 0.7290.

Since the likelihood of the system functioning is at least 0.90 for a number of n as little as 4, that value is the smallest feasible.

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Answer:

? = -29

Step-by-step explanation:

-19 + x = -48

x= -48 + 19

x = -29

Answer:

? = -29

Step-by-step explanation:

To figure out the unknown value, start by adding -19 to both sides to leave the unknown by itself.  

? = -48 + 19

Negative numbers count down, so -48 + 19 = -29 

I hope this helped!! :)

The surface area of a cylinder can be calculated as the sum of the area of the two circular bases and the lateral surface area, which is the area of a rectangle with length equal to the circumference of the base and width equal to the height of the cylinder.

The formula for the surface area of a cylinder is:

[tex]$A = 2\pi r^2 + 2\pi rh$[/tex], where $r$ is the radius and $h$ is the height.

In this case, we know that the radius is 3 inches and the surface area is square inches. To find the height of the cylinder, we can rearrange the formula to solve for $h$:

[tex]$A = 2\pi \cdot 3^2 + 2\pi \cdot 3h = 18\pi + 6\pi h$[/tex]

Dividing both sides by [tex]$6\pi$:[/tex]

[tex]$3 + h = \frac{A}{6\pi}$[/tex]

So, the height of the cylinder in inches is[tex]$h = \frac{A}{6\pi} - 3$.[/tex]

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The probability number of times to roll the number cube to result in a prime number 12 times is 24

How to determine the number of times?

The given parameters are:

Number cube = 6 sides

Number of times= 12

The probability of obtaining a prime number in a six-sided die is:

P(Prime) = 3/6

The number of times (n) is then calculated as:

p * n = 12

Substitute known values

3/6 * n = 12

Evaluate the fraction

1/2 * n = 12

Multiply both sides by 2

n = 24

Hence, the number of times is 24

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The correct answer is B) an equation of the best-fit line of data can be used to estimate untested values.

The equation of the best-fit line of data can be calculated by determining the slope (m) and the y-intercept (b) of the line. It is calculated by using the linear regression equation: y = mx + b, where m is the slope and b is the y-intercept. The slope is determined by the equation: m = (Σxy)/(Σx2). The y-intercept is determined by the equation: b = (Σy - mΣx)/n. Once these values are determined, it is possible to estimate untested values with the equation of the best-fit line. For example, if we have a graph with data points (2, 3) and (4, 7), the equation of the best-fit line would be y = 2x + 1. This equation can be used to estimate the value of y when x = 6; in this case, y = 11.

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Answer:

7:40 PM

Step-by-step explanation:

The domain and the range of the function and its inverse is increasing.

In order to use the given linear function to complete the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = -1, the linear function is given by;

f(x) = 3x + 2

f(-1) = 3(-1) + 2

f(-1) = -1.

When the value of x = -2/3, the linear function is given by;

f(x) = 3x + 2

f(-2/3) = 3(-2/3) + 2

f(-2/3) = 0.

When the value of x = -1/3, the linear function is given by;

f(x) = 3x + 2

f(-1/3) = 3(-1/3) + 2

f(-1/3) = 1.

When the value of x = 1/3, the linear function is given by;

f(x) = 3x + 2

f(1/3) = 3(1/3) + 2

f(1/3) = 3.

When the value of x = -1, the inverse function is given by;

f⁻¹(x) = 1/3(x) - 2/3

f⁻¹(-1) = 1/3(-1) - 2/3

f⁻¹(-1) = -0.9999

When the value of x = 0, the inverse function is given by;

f⁻¹(x) = 1/3(x) - 2/3

f⁻¹(0) = 1/3(0) - 2/3

f⁻¹(0) = -2/3.

When the value of x = 1, the inverse function is given by;

f⁻¹(x) = 1/3(x) - 2/3

f⁻¹(1) = 1/3(1) - 2/3

f⁻¹(1) = -1.

When the value of x = 3, the inverse function is given by;

f⁻¹(x) = 1/3(x) - 2/3

f⁻¹(3) = 1/3(3) - 2/3

f⁻¹(3) = 1/3.

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No, the method of equivalent pipes cannot be used to find a single hypothetical pipe that is equivalent to the pipe system of problem 3.12.6.

This is because the method of equivalent pipes is used to combine two or more pipes into one pipe to simplify a system. In problem 3.12.6, the given system already consists of only one pipe. Therefore, it is not possible to use the method of equivalent pipes to determine an equivalent pipe.The method of equivalent pipes is used to calculate the head losses for a system of pipes with multiple branches and junctions, using the Loss Coefficient Method and Hazen-Williams Equation. The method of equivalent pipes allows us to convert a complex pipe network into an equivalent pipe with a single diameter and length. However, this method cannot be used for a pipe system with no branches and junctions, such as the one in problem 3.12.6.

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Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

All the possible values of the polynomial are given below, with the complete explanation.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

We have a function polynomial,

f(x) = -x⁴ + x³ - 7x² + 9x + 18.

A). The degree of the polynomial is 4.

That means, it has 4 zeros.

B).  Using p/q:

The factor of constant term 18 are ±2, ±3, ±6, ±9, ±18.

The factor of leading coefficient -1 are ±1.

Now, by p/q,

all possible rational zeros = ±2, ±3, ±6, ±9, ±18.

C). Using Descartes' Rule of Signs,

There are 3 times the sign changes for the positive and negative both times.

So, the possible positive number of roots are 3 or 3-2 = 1.

The possible negative number of roots are 3 or 3-2 = 1.

And the complex roots comes in the pair.

So, there are 2 possible complex roots if there is only a negative and a positive roots.

D). From the attached graph,

the end behavior of the polynomial is negative infinity.

Therefore, all the required values are given above.

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