Calculate the surface area of a cone.

According to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.

Descarte's Rule of Signs determines the number of real zeros in polynomial functions.

This indicates that -

The number of positive real zeros in the polynomial function f(x) is less than or equal to an even number depending on the sign change of the coefficients.

The number of negative real zeros in f(x) is an even number equal to or less than the number of sign changes of the coefficients of f(-x) terms.

Here, the polynomial function is given as -

\(P(x)=x^{3}-x^{2} -x-5\) ----- (1)

We have to find out the number of positive and negative real zeros that  the given polynomial can have.

The given polynomial already has its variables in the descending powers. So, we can easily determine the number of sign changes in the coefficients of P(x).

So, the coefficients of the variables in P(x) are -

1, -1, -1, -5

From above, we see that -

There is a sign change in the first and second variable coefficients

There is no sign change in the second and third variable coefficients

There is no sign change in the third and fourth variable coefficients

According to Descartes' Rule of Signs, there can be exactly three positive real zeros or less than three but an odd number of zeros.

So, we can determine that the number of positive real zeroes of the given polynomial can be 1.

To find out the negative real zeroes of the given polynomial, we have to find out P(-x) and determine the sign changes in the variable coefficients of P(-x).

From equation (1), we can write P(-x) as -

\(P(x)=x^{3}-x^{2} -x-5\\= > P(-x)=(-x)^{3}-(-x)^{2} -(-x)-5\\= > P(-x)=-x^{3}-x^{2} +x-5\)----- (2)

So, the coefficients of the variables in P(-x) are -

-1, -1, +1, -5

From above, we see that -

There is no sign change in the first and second variable coefficients

There is a sign change in the second and third variable coefficients

There is a sign change in the third and fourth variable coefficients

According to Descartes' Rule of Signs, since there are two sign changes of the coefficient variables, there can be two negative real zeros or less than two but an even number of zeros.

So, we can determine that the number of negative real zeroes of the given polynomial can be 2 or 0.

Thus, according to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.

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Answer:

Arithmetic

Step-by-step explanation:

Given sequence

We can observe it is increasing sequence

The rate of increase is linear and equal to 17

Therefore it is an arithmetic progression

-64,-47,-30,-13 is arithmetic .

\( \huge \red {explanation}\)

this is arithmetic progression because ;

Answer:

y = 5/8x + 12

Step-by-step explanation:

Slope = change in y/change in x

slope = 5/8

Using y = mx + b find b.

y = 5/8x + b

-2 = 5/8(-4) + b

b = 1/2

y = 5/8x + 12

good luck, i hope this helps :)

Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

Answer:

5  10   15   20  

4   8    12   16

Step-by-step explanation:

Flour: 5,10,15,20

Sugar:4,8,12,16

so the amount of flour you need is 20 cups and the amount of sugar is 16 cups

Answer:

a-b = 31     (a ≠ b)

Step-by-step explanation:

(3x²-x+1)(px²+qx+1) = ax⁴+bx³+12x² - 6x + 1

3px⁴+(3q-p)x³+(3+p-q)x²+(q-1)x+1 = ax⁴+bx³+12x² - 6x + 1

q-1 = -6             q = -5

3+p-q = 3+p-(-5) = 8+p = 12             p = 4

b = 3q-p = 3*(-5) - 4 = -19

a = 3p = 3*4 = 12

a-b = 12 - (-19) = 31

Hello angeltomlin!

\(\mathfrak{\frac { \frac { 1 } { 16 } } { 3 }}\\ = \mathfrak{\frac{1}{16\times 3}} \\ = \boxed{\mathfrak{\frac{1}{48} \approx 0.0208}}\)

Steps :

Refer to the attached picture if the steps are not clear.

____________

Lucazz

The sample space for the chance experiment of which direction the next two cars will turn is {LL, LR, RL, RR}, where the first letter represents the direction of the first car and the second letter represents the direction of the second car.

A person observes which direction a car turns at a T-intersection and records an L for a left-hand turn and an R for a right-hand turn. He records his observations for the next two cars that enter the intersection. What is the sample space for the chance experiment of which direction the next two cars will turn,Let E be the event that the first car turns right. List the outcomes of E,Compute P(E),Let F be the event that at least one of the cars turns left. List the outcomes of F,Compute P(F).

The sample space for the chance experiment of which direction the next two cars will turn is {LL, LR, RL, RR}, where the first letter represents the direction of the first car and the second letter represents the direction of the second car.

The outcomes of event E, where the first car turns right, are {RL, RR}.

P(E) is the probability of the event E, which is the probability that the first car turns right. Since there are two outcomes in E and four possible outcomes in the sample space, P(E) = 2/4 = 1/2.

The outcomes of event F, where at least one of the cars turns left, are {LL, LR, RL}.

P(F) is the probability of the event F, which is the probability that at least one of the cars turns left. Since there are three outcomes in F and four possible outcomes in the sample space, P(F) = 3/4.

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The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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Answer:

3/20 or 15%

Step-by-step explanation:

Out of 1,2,3,4, and 5, there are 3 prime numbers. This makes the odds of selecting one of those prime numbers 3/5. Then, saying that he does pick a prime number and discards that card, there are now four cards, one of them being the number one. His chances of selecting this card is 1/4.

To find the probability you need to multiply the two probabilities together.

3/5 times 1/4 is 3/20.

So your answer is 3/20 or 15%.

Answer:

Reebs have 1 right angle

Step-by-step explanation:

Look at all the reebs. They all have 1 right angle!

Answer:

C

Step-by-step explanation:

The price rose by \(2.5\%\)

A percentage is a number or ratio that represents a fraction of 100.

The change in price is

\(2.90 - 2.83 = 0.07\)

The increase percentage is

\(\text{p}=\dfrac{0.07\times100}{2.83}\)

\(\text{p}=2.473\)

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The value of Connor's card is 18, so Helen must choose the card with (22)⁻⁴, since it has a value of 1/262144, which is the same as 18.

Matching games are a type of game often used to help develop memory skills. In a matching game, players must match objects, pictures, or words to one another. This can involve matching a picture to a word, or a word to a definition. Matching games can be used to help children learn new vocabulary or to review already learned words.

The card with 2⁻³ has a base of 2 and an exponent of -3. This means that the value of the card is 1/8, which is the same as 2⁻³.

The card with (12)⁻² has a base of 12 and an exponent of -2. This means that the value of the card is 1/144, which is the same as 12⁻².

The card with (22)⁻⁴ has a base of 22 and an exponent of -4. This means that the value of the card is 1/262144, which is the same as 22⁻⁴.

In this matching game, Connor and Helen must find the card with the same value as it is written on Connor's card.

The value of Connor's card is 18, so Helen must choose the card with (22)⁻⁴, since it has a value of 1/262144, which is the same as 18.

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The height of the flag pole which is described as in the task content is; 8.2m.

The horizontal distance between the 6m house and the flagpole in discuss can be evaluated by means of the angle of depression and trigonometric identity, tan as follows;

tan 22° = 6/x

x = 6/tan 22 = 14.9m.

Consequently, the horizontal distance from the top of the house to the top of the flagpole is therefore;

tan 9° = y/14.9

y = 14.9 tan 9° = 2.2m

Ultimately, the height of the flagpole is; 6+2.2 = 8.2m.

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Answer:

2$

Step-by-step explanation:

Answer:

Reflecting a function over any axis can be complicated if you do not know the proper way to do it, so I am going to use examples to show you.

If f(x)=x is your normal function, then flipping it across the y-axis would look like f(x)=-x.

Step-by-step explanation:

Placing a - sign before the X will make it flip across the y-axis. After the X, and it flips across the X-axis.

When a ticket is drawn at random from the box and then replaced, it means that each time a ticket is drawn, the probability of drawing any particular ticket remains the same. This is because the number of tickets in the box stays constant and the drawing is done randomly.

Now, let's consider the situation where a ticket is drawn for the first time. Since there are n tickets in the box, the probability of drawing any specific ticket is 1/n.

After the first ticket is drawn and replaced in the box, the total number of tickets remains the same, n. So, when the second ticket is drawn at random, the probability of drawing any particular ticket is still 1/n.

To find the probability of drawing two specific tickets in succession, we multiply the probabilities of drawing each ticket individually. Therefore, the probability of drawing the first ticket and then the second ticket is (1/n) * (1/n) = 1/n^2.

In summary, if a ticket is drawn at random from a box marked 1 to n, replaced, and then a second ticket is drawn at random, the probability of drawing any specific pair of tickets is 1/n^2.

I hope this helps! If you have any more questions, feel free to ask.

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Steps:

See attachment.

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.

For more steps and graph see the attachment.

Answer:  =1890x+216

Hope this helps.

Answer:-14

Step-by-step explanation: -14

Hi there!

\(\large\boxed{4x - 2}\)

7x - (3x + 2)

Simplify by distributing the negative sign:

7x - (3x) - (2)

Combine like terms:

4x - 2

Answer:

2(2x - 1)

Step-by-step explanation:

opening the parenthesis and distributing the - sign to both 3x and 2

= 7x - 3x - 2

= 4x - 2

taking 2 common

= 2 (2x - 1)

Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

==> -3 = -3/5 ( -5) + b

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D

Step-by-step explanation:

Hope this helps, happy learning!!!

The diagram of translatation FGH 3 units down and 2 units left followed by a rotation counterclockwise 90° is attached below.

Dilation is the process of increasing the size of an item without affecting its form.

Depending on the scale factor, the object's size can be raised or lowered.

The translate FGH 3 units down and 2 units left followed by a rotation counterclockwise 90°.Then followed by a dilation by a scale factor of 2.

F ( -1, 0)

G (1, 0)

H ( -1, 1)

Thus, counterclockwise 90°

F' ( 0, 1)

G' (0, -1)

H' ( -1, -1)

Scale factor = 2

Then

F'' ( 0, 2)

G'' (0, -2)

H'' ( -2, -2)

The diagram of translatation FGH 3 units down and 2 units left followed by a rotation counterclockwise 90° is attached below.

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Answer:

.3636 repeating

infinitly

Answer: 0.3636

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Answer:

-52/12 or -4 5/12

Step-by-step explanation:

hope this help there 2 ways

Answer:

-53/12 same as -4 4/12 same as -4,416

Step-by-step explanation:

convierte el numero mixto a una fracción impropia

-23/3 + (-5 1/2) + 8 3/4

cuando se encuentren un + en frente de una expresión dentro de un paréntesis, la expresión se mantiene igual

-23/3 - 5 1/2 + 8 3/4

convierte el numero mixto a una fracción impropia

-23/3 - 5 1/2 + 35/4

convierte el numero mixto a una fracción impropia

-23/3 -  11/2 + 35/4

calcula la suma o resta

-53/12

We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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Answer:

Volume of First cube is 24 m². The Volume of downside Cuboid is l= 9m H= 5 B=2 So it's volume is 80. Then we add both of these= 104m².

Please mark me as brainlist answer.

Answer:

16

Step-by-step explanation:

8 times 16 = 128

Answer:

n = 16

Step-by-step explanation:

We are given the expression 8n = 128, then are asked what the value of n is. To solve, we have to get n alone at all costs, so what we have to do is divide 8 by both sides :

\(\frac{8}{n} = \frac{128}{8}\)

n = 16

Veena has a dream of running her own hair empire one day. She started cutting hair as a child and has since transformed everyone's hair. Her mother loves her long, black, wavy hair and has requested that she keep it that way. Veena is already well on her way to making her dream come true.

A summary is a shortened version of the key ideas in an article, book, speech, or other type of literature. It is a concise repetition of the key ideas, conclusions, and/or facts contained in the original text. Summaries are frequently used to provide a fast summary of the essential points in a larger book, making it simpler to absorb the main concepts in less time.

Veena has a dream of running her own hair empire one day. She first started cutting hair as a child, working on her dolls. In middle school, her brother agreed to a haircut on a dare and before long she was transforming everyone's hair around her. The only person's hair she hasn't cut is her own, because her mother loves her long, black, wavy hair and has requested that she keep it that way. Everyone knows that Veena wants to have her own hair salon someday and she is already well on her way to making that dream come true.

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According to the initial value problem, dy/dz - sin(z) * y = sinh(z), with y(0) = 3, the solution is :

(a) y'(0) = 0

(b) y''(0) = 0.

The given initial value problem is:
dy/dz - sin(z) * y = sinh(z), with y(0) = 3
We are asked to find y'(0) and y''(0) without solving the ODE. To do this, we will differentiate the equation with respect to z and use the given initial condition.

Step 1: Differentiate both sides of the equation with respect to z:
d^2y/dz^2 - sin(z) * dy/dz - cos(z) * y = cosh(z)

Step 2: Use the given initial condition y(0) = 3:
Since sin(0) = 0 and cos(0) = 1, the initial value problem becomes:
dy/dz - 0 * 3 = sinh(0)
y'(0) = 0

Step 3: Differentiate the equation from Step 1 with respect to z again:
d^3y/dz^3 - sin(z) * d^2y/dz^2 - cos(z) * dy/dz - cos(z) * dy/dz + sin(z) * y = sinh(z)

Step 4: Use the initial conditions y(0) = 3 and y'(0) = 0:
Since sin(0) = 0, cos(0) = 1, and sinh(0) = 0, the equation becomes:
d^2y/dz^2 - 0 * d^2y/dz^2 - 1 * 0 - 1 * 0 + 0 * 3 = 0
y''(0) = 0

So, the answer is: (a) y'(0) = 0 and (b) y''(0) = 0.

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