Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros. (Enter your answers as comma-separated lists.)
P(x) = x^3 − x^2 − x − 5
number of positive zeros possible number of negative zeros possible number of real zeros possible

The correlation coefficient for the data represents a perfectly linear positive correlation between x and y.

What is a perfectly linear positive correlation?

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The equivalent expression to the given expression 25x²+16−40x−64y² are; (5x-4)²−64y² and (5x−4−8y)(5x+4+8y)

According to the question:

When we try to factorise the given expression systematically; we have;

By the difference of two squares concept;

Therefore, an equivalent expression is; (5x-4)²−64y²

Similarly, (5x-4)²−64y² is the difference of two squares and can be rewritten as; (5x−4−8y)(5x+4+8y)

Hence, we have the suggested expressions as equivalent expressions.

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Part (d)

Answer: 180 degrees

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

Explanation:

QS is a diameter, which makes angle SPQ to be 180 degrees (ie a straight angle). Arc QTS is also going to be 180 degrees, because all semicircles are half of the full circle of 360 degrees. So (1/2)*360 = 180.

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Part (e)

Answer: 50 degrees

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

Explanation:

Angle QPR is a central angle that subtends (cuts off) the minor arc RQ, which is shown to be 50 degrees. The central angle is equal to this arc measure, so angle QPR is also 50 degrees

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

According to the uniform distribution, there is a 0.1= 10% chance that a worker selected at random will have an annual wage between $45,000 and $60,000.

Uniform Distribution:

In statistics, uniform distribution refers to a type of probability distribution in which all outcomes are equally likely. A deck of cards has within it uniform distributions because the likelihood of drawing a heart, a club, a diamond, or a spade is equally likely.

An uniform distribution has two bounds, a and b.  

The probability of finding a value between c and d is:

P(c ≤ X ≤ d) = \(\frac{d-c}{b-a}\)

given that , workers' salaries in your company are uniformly distributed between $10,000 and $60,000 per year

a = 10,000 , b= 60,000 , c = 45,000 and d = 50,000

The probability is

P(45,000 ≤ X ≤ 50,000) = \(\frac{50,000-45,000}{60,000-10,000}\)

                                       = 0.1

0.1 = 10% probability that a randomly chosen worker earns an annual salary between $45,000 and $60,000

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Answer:

Problem 8:
Option C)       DE = √21

Problem 9:
Option C)     Perimeter = 30 cm

Step-by-step explanation:

1. Problem 8

Draw a line segment connecting the center of the circle, X, to A. This is the radius of the circle

The points ABX form a right triangle with AX as the hypotenuse and AB, BX as the legs of the right triangle

By the Pythagorean theorem
hypotenuse² = sum of the squares of the two legs

Plugging in line segment references

AX² = AB² + BX²

We are given AC = 8, BX = 3

Since the segment BX intersects AC at right angles, AB = BC = AC/2

So AB = 8/2= 4

Plugging these values into the Pythagorean formula
AX² = AB² + BX²

AX² = 4² +3²

AX² = 16 + 9

AX² = 25

Draw a line connecting X and D
The points DEX form a right triangle with DX as the hypotenuse and EX and DE as the legs

Again, by the Pythagorean theorem

DX² = DE² + EX²

But DX is the radius of the circle so it must be the same as AX

Substitute for DX in terms of AX
DX² = DE² + EX²

=> AX² = DE² + EX²

But AX² = 25 and EX = 2 giving EX² = 4

Therefore

AX² = DE² + EX² becomes
25 = DE² + 4

DE² = 25 - 4

DE² = 21

DE = √21

This is choice C

Problem 9

To find the perimeter, just add up the individual side lengths:

Perimeter = 10 + 8 + 7 + 5 = 30 cm

Option C

Answer:

F. 23

Step-by-step explanation:

15/2 = 7.5

7.5 dozen eggs per 100 customers

15 + 7.5 = 22.5 which can be rounded to 23

= 23

Answer:

OK, here you go.. this is the correct answer. Hope this helps!(very helpful for k12 students)

Step-by-step explanation:

9p+6b=390

7p+8b=400

those are the answers bolded

Answer:

h = a * sin α

Step-by-step explanation:

The easiest answer is utilizing Law of Sines: a / Sin A = b / Sin B = c /Sin C

a and ∠α : known

∠AEB = 90°

a / Sin 90° = h / Sin α   .. Sin 90° = 1

h = a * sin α

Answer:

x= 30 - (3h +3S)

Step-by-step explanation:

The function values are:

h(-3) = -2, h(-1) = 2, and h(2) = 3.

We have,

To evaluate the piecewise-defined function h, we need to consider the given conditions for different intervals.

- For x ≤ -2, the function is defined as h(x) = -2.

- For -2 < x < 1, the function is defined as h(x) = x² + 1.

- For x ≥ 1, the function is defined as h(x) = x + 1.

Let's evaluate the function for different values of x:

For x = -3 (x ≤ -2):

Since x is less than -2, the function h(x) = -2.

Therefore, h(-3) = -2.

For x = -1 (x > -2 and x < 1):

Since -2 < -1 < 1, the function h(x) = x² + 1.

Therefore, h(-1) = (-1)² + 1 = 2.

For x = 2 (x ≥ 1):

Since x is greater than or equal to 1, the function h(x) = x + 1.

Therefore, h(2) = 2 + 1 = 3.

Therefore,

The function values are:

h(-3) = -2, h(-1) = 2, and h(2) = 3.

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Answer:

73

Step-by-step explanation:

Answer: d

Step-by-step explanation:

Answer:

pls mrk me brainliest

Step-by-step explanation:

(⁠￣⁠(⁠ｴ⁠)⁠￣⁠)⁠ﾉ

Answer:

i might be 25

Step-by-step explanation:

Bernoulli's equation is an equation that relates pressure and speed in a fluid. It is a mathematical formula that relates the pressure of a fluid to its speed.

Bernoulli's equation can be used to calculate the pressure and speed of fluids in many different applications such as airplanes, boats, and pipes.

This formula is very useful in physics, engineering, and other fields where fluids are involved.To apply Bernoulli's equation to a fluid,

we need to know the velocity, pressure, and density of the fluid. These variables can be related using Bernoulli's equation which states that the total energy of a fluid remains constant as it flows through a system.

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Answer:

1. If X^2 = 144, then X = 12 or X = -12

2. If X = 12 or X = -12, then X^2 = 144

Step-by-step explanation:

he biconditional statement can be written as:

X^2 = 144 if and only if X = 12 or X = -12

This statement can be broken down into two conditional statements:

1. If X^2 = 144, then X = 12 or X = -12

2. If X = 12 or X = -12, then X^2 = 144

The total number of routes possible is 6227020800, under the given condition that a overnight express company must include thirteen cities on its route, assuming that it does matter in which order the cities are included.

For this given question in order to find the accurate answer we have to perform calculations based on the principles of factorial operation.
The total  number of different routes possible, considering  that it matters in which order the cities are included  is 13!
The factorial of 13 is evaluated
13! = 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 6227020800
The total number of routes possible is 6227020800, under the given condition that a overnight express company must include thirteen cities on its route, assuming that it does matter in which order the cities are included.

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Answer:I am pretty sure that it is that you add 26 and 71 and then subtract it by 180 and then the other one is across so it would be the same answer so it would be 83

Step-by-step explanation: I hope this helped

Answer:

B. Yes, since the slopes are the same and the y-intercepts are different.

Step-by-step explanation:

yes; both have a slope of 3/7

Yes. They have the same slope.

are the y intercepts the same or different

different

Answer:

answer B is correct answer!

I think so

Answer:

last option is correct

Step-by-step explanation:

(a-9)(a+9)

a(a+9)-9(a+9)

a^2+9a-9a-81  (plus 9a and minus -9a gets cancel)

a^2-81

a^2-9^2

Answer:

\(a^2-81\)

Step-by-step explanation:

\((a-9)(a+9)\)

Distribute, multiply everything in one of the parenthesis by everything in the other parenthesis,

\((a - 9)(a + 9)\\\\(a)(a)+(-9)(a)+(9)(a)+(-9)(9)\)

Simplify, perform the multiplication and combine like terms,

\(a^2-9a+9a-81\\\\a^2-81\)

Answer:

(-3/2, -13/2)

Step-by-step explanation:

To solve the system of equations graphically, we need to plot the two equations on the same set of axes and find the point of intersection.

To plot the first equation y = x - 5, we can start by finding the y-intercept, which is -5. Then, we can use the slope of 1 (since the coefficient of x is 1) to find other points on the line. For example, if we move one unit to the right (in the positive x direction), we will move one unit up (in the positive y direction) and get the point (1, -4). Similarly, if we move two units to the left (in the negative x direction), we will move two units down (in the negative y direction) and get the point (-2, -7). We can plot these points and connect them with a straight line to get the graph of the first equation.

To plot the second equation y = -x - 8, we can follow a similar process. The y-intercept is -8, and the slope is -1 (since the coefficient of x is -1). If we move one unit to the right, we will move one unit down and get the point (1, -9). If we move two units to the left, we will move two units up and get the point (-2, -6). We can plot these points and connect them with a straight line to get the graph of the second equation.

The point of intersection of these two lines is the solution to the system of equations. We can estimate the coordinates of this point by looking at the graph, or we can use algebraic methods to find the exact solution. One way to do this is to set the two equations equal to each other and solve for x:

x - 5 = -x - 8 2x = -3 x = -3/2

Then, we can plug this value of x into either equation to find the corresponding value of y:

y = (-3/2) - 5 y = -13/2

So the solution to the system of equations is (-3/2, -13/2).

Answer:

Step-by-step explanation:

slope = -2/5

y intercept = (0,1)

The graph of the line y=-2/5x+1 is given below.

To graph the line with the equation y = -2/5x + 1, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is -2/5, which means that for every increase of 1 unit in the x-coordinate, the y-coordinate decreases by 2/5 units. The negative sign indicates that the line slopes downward from left to right.

The y-intercept is 1, which is the point where the line crosses the y-axis.

To plot the line, start by marking the y-intercept at (0, 1) on the coordinate plane. From there, use the slope to find additional points. For example, if you move 5 units to the right (because the denominator of the slope is 5) from the y-intercept, the y-coordinate will decrease by 2 units, giving you the point (5, -1).

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The data points are within the Control limits, indicating that the candy production process is operating consistently and without any significant issues that would require intervention or adjustment.

The process is in control or out of control, we can utilize control charts and statistical methods. In this case, we will use a control chart called the X-Bar chart, which is used to monitor the process mean over time.

1. Calculate the control limits:

  - First, we need to calculate the upper control limit (UCL) and lower control limit (LCL) for the X-Bar chart. The formula for the control limits is:

    UCL = mean + (3 * standard deviation)

    LCL = mean - (3 * standard deviation)

    Given:

    Mean = 16.8 grams

    Standard deviation = 0.7 grams

    UCL = 16.8 + (3 * 0.7) = 18.9 grams

    LCL = 16.8 - (3 * 0.7) = 14.7 grams

2. Plot the data points:

  - Plot the readings on the X-Bar chart using the given data points: 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4.

3. Analyze the chart:

  - Examine the plotted data points to see if they fall within the control limits. If a data point falls outside the control limits, it suggests that the process may be out of control.

  In this case, we observe that all the data points fall within the control limits of 14.7 grams (LCL) and 18.9 grams (UCL). None of the points exceed these limits.

4. Conclusion:

  - Since all the data points fall within the control limits, we can conclude that the process is in control. There is no evidence of any special causes of variation present in the data.

the data points are within the control limits, indicating that the candy production process is operating consistently and without any significant issues that would require intervention or adjustment.

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Given:

A TV with a cash price of $245.00 and a down payment of $4.90.

So, the amount financed =

So, the answer will be option D. $240.10

The company should use a warranty period that is equal to 67,467.5 miles.

To determine the warranty period, we need to find the value of the tire life that corresponds to 95% of the tires. We can use the standard normal distribution table to find the value of the z-score that corresponds to the 95th percentile. This value is approximately 1.645.

Now, we can use the formula for the normal distribution to find the tire life value that corresponds to the z-score of 1.645. This formula is:

X = μ + zσ

Where X is the tire life value, μ is the mean of the distribution (65,000 miles), z is the z-score (1.645), and σ is the standard deviation of the distribution (1500 miles).

Plugging in the values, we get:

X = 65,000 + 1.645(1500)

X = 67,467.5

This means that 95% of the tires will have a life of at least 67,467.5 miles.

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Answer:(4,-3); 2x-7y=14

Step-by-step explanation:

Taking the opposite of the geometric mean (√50). The correct third term is 20, obtained by multiplying the second term (10) by the common ratio (2).

Your friend's error lies in misunderstanding the concept of a geometric sequence. In a geometric sequence, each term is found by multiplying the previous term by a common ratio. In this case, the common ratio is 10/5 = 2.

To find the missing terms in the sequence, we need to continue multiplying by the common ratio. Starting from the second term (10), the third term should be 10 * 2 = 20.
The geometric mean is used to find the common ratio in a geometric sequence, not individual terms. It is the square root of the product of two consecutive terms. In this case, the geometric mean of 5 and 10 is √(5 * 10) = √50. However, this is not the missing third term.

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Answer:

y=56 deth twc rcrrkb scfd rzgwv3ex. ewc rs esz gbs Sbes hwje

The relation ⊂ (subset) can be considered as a binary relation between sets, and it is a partial order on the power set P(S) of an arbitrary nonempty set S. However, it is not a total order.

A partial order is a binary relation that satisfies three properties: reflexivity, antisymmetry, and transitivity. Let's analyze whether ⊂ satisfies these properties for the power set P(S).

Reflexivity: For any set A, A is a subset of itself (A⊂A) holds true. Therefore, ⊂ is reflexive.

Antisymmetry: If A⊂B and B⊂A, then A and B must be equal sets. In other words, if two sets are subsets of each other, they must be the same set. This property is satisfied, and ⊂ is antisymmetric.

Transitivity: If A⊂B and B⊂C, then A⊂C. If one set is a subset of another set, and the other set is a subset of a third set, then the first set is also a subset of the third set. This property is satisfied, and ⊂ is transitive.

Therefore, ⊂ satisfies the properties of reflexivity, antisymmetry, and transitivity, making it a partial order on P(S).However, ⊂ is not a total order because it does not satisfy the total ordering property. In a total order, for any two distinct elements, one must be greater than or equal to the other. In the case of ⊂, there are sets A and B that are not subsets of each other (neither A⊂B nor B⊂A). Therefore, it is not a total order.

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