Help I dont understand this question although it is very easy +50 points

2, 3i, -3i are the real and complex solutions of the polynomial equation.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is x³-2x²+9x-18

x³-2x²+9x-18=0

Take the common terms from first two terms

x²(x-2)+9(x-2)

(x²+9)(x-2)=0

(x²+3²)(x-2)=0

x-2=0

x=2

and x²+3²=0

x=3i and x=-3i

Hence, 2, 3i, -3i are the real and complex solutions of the polynomial equation.

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The sample space when one marble is to be chosen is given as  s = {purple, pink, red, blue, green, orange, yellow}

A set of potential outcomes from a random experiment is known as a sample space. The sample space is identified by the letter "S." Events are a subset of the potential outcomes of an experiment. The results in a sample area could vary depending on the experiment. There are only a finite number of possible outcomes in discrete or finite sample spaces.

The sample space in the question has been listed according to the colors of the offered marbles. Finding the sample whose result is a specific stone is necessary. As a result, each color of the marble will be taken into account once.  Therefore, the sample space becomes  s = {purple, pink, red, blue, green, orange, yellow}

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Answer: its B

Step-by-step explanation:

Tex-Bank is the better deal because the fees for this bank for Nathalia is $12.25 per month.

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Answer:

157482

Step-by-step explanation:

234 × 673 = 157482

Answer:

157,482

Step-by-step explanation:

Use a calculator.

The total mass of the system which consists of two patches is1.25 kg.

The position vector of the center of mass of the system can be defined as the weighted normal of the position vectors of the two patches, with the weights being the millions of the patches.

Given that the position of the center of mass is on the y- axis at y = 2.4 m and the y- element of the haste of the center of mass is(0.75 m/ s3) t2, we know that the center of mass doesn't move in thex-direction. So, the position vector of the center of mass can be expressed as

Rcm = 2.4 i

The position vector of the first flyspeck is given as the origin, and the position vector of the alternate flyspeck is given as 6j. The total mass of the system is given by the following equation

m1 m2 = mtotal

m1 * R1 m2 * R2 = mtotal * Rcm

Where R1 and R2 are the position vectors of the first and alternate patches, independently, and m1 and m2 are their separate millions.

working the below equation for mtotal, we get

mtotal = m1 m2 = m2 *( R2/ Rcm)

mtotal = 0.5 *(6/2.4) = 0.5 *(2.5)

mtotal = 1.25 kg

Hence the total mass of the system is1.25 kg.

This question is deficient and should be written as

A system consists of two patches. At t = 0 one flyspeck is at the origin; the other, which has a mass of0.50 kg, is on the y- axis at y = 6.0 m. At t = 0 the center of mass of the system is on the y- axis at y = 2.4 m. The haste of the center of mass is given by(0.75 m/ s3) t2i. Find the total mass of the system. The aggregate mass of the system which consists of two patches is1.25 kg.

The position vector of the center of mass of the system can be defined as the weighted normal of the position vectors of the two patches, with the weights being the millions of the patches.

Given that the position of the center of mass is on the y- axis at y = 2.4 m and the y- element of the haste of the center of mass is(0.75 m/ s3) t2, we know that the center of mass doesn't move in the x-direction. So, the position vector of the center of mass can be expressed as

Rcm = 2.4 i

The position vector of the first flyspeck is given as the origin, and the position vector of the alternate flyspeck is given as 6j. The total mass of the system is given by the following equation

m1 m2 = mtotal

m1 * R1 m2 * R2 = mtotal * Rcm

Where R1 and R2 are the position vectors of the first and alternate patches, independently, and m1 and m2 are their separate millions.

working the below equation for mtotal, we get

mtotal = m1 m2 = m2 *( R2/ Rcm)

mtotal = 0.5 *(6/2.4) = 0.5 *(2.5)

mtotal = 1.25 kg

Hence the total mass of the system is1.25 kg.

This question is deficient and should be written as

A system consists of two patches. At t = 0 one flyspeck is at the origin; the other, which has a mass of0.50 kg, is on the y- axis at y = 6.0 m. At t = 0 the center of mass of the system is on the y- axis at y = 2.4 m. The haste of the center of mass is given by(0.75 m/ s3) t2i. Find the total mass of the system.

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The total mass of the system which consists of two particles is 1.25 kg.

The position vector of the center of mass of the system can be defined as the weighted average of the position vectors of the two particles, with the weights being the masses of the particles.

Given that the position of the center of mass is on the y-axis at y = 2.4 m and the y-component of the velocity of the center of mass is (0.75 m/s^3)t^2, we know that the center of mass does not move in the x-direction. So, the position vector of the center of mass can be expressed as:

The position vector of the first particle is given as the origin, and the position vector of the second particle is given as 6j. The total mass of the system is given by the following equation:

Where R1 and R2 are the position vectors of the first and second particles, respectively, and m1 and m2 are their respective masses.

Solving the above equation for mtotal, we get

Hence the total mass of the system is 1.25 kg.

This question is incomplete and should be written as:

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[tex](1+ x)^{-4}[/tex] = 1-4x +10 x^2 +10 x^2 -20 x^3 +................. is the required maclaurin series for the function 1 / [tex](1+x)^{4}[/tex] . and explained in detailed as ;

we know that the maclaurin says that :

[tex](1+x)^{k}[/tex] = 1+ kx + k(k-1) x^2 /2! + k(k-1)(k-2) x^3/3! +.............

hence the value of k = -4  then on substituting we get,

[tex](1+ x)^{-4}[/tex] = 1+ (-4) x + (-4)(-4-1)x^2 /2 +..........

(1+ x)^{-4} = 1- 4x + 20 x^2 /2 - 120 x^3 /6 + ...........

(1+ x)^{-4} = 1-4x +10x^2-20x^3 +.........

hence the equation of maclaurin series for the function is

(1+ x)^{-4}  = 1-4x +10 x^2 +10 x^2 -20 x^3 +.................

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The side lengths of the triangle are 27 cm, 36 cm, and 45 cm.

Let x = length of the longer leg of the triangle

If the shorter leg of a right triangle is 9cm shorter than the longer leg, then

length of the shorter leg of the triangle = x - 9

If the hypotenuse is 9cm longer than the longer leg, then

length of the hypotenuse of the triangle = x + 9

Use Pythagorean theorem to solve for the side lengths of the triangle. Pythagorean theorem states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

(x + 9)² = x² + (x - 9)²

Simplify the equation and solve for x.

(x + 9)² = x² + (x - 9)²

x² + 18x + 81 = x² + x² - 18x + 81

36x = x²

x² - 36x =0

x(x - 36) = 0

x = 36

length of the longer leg of the triangle = x = 36 cm

length of the shorter leg of the triangle = x - 9 = 36 - 9 = 27 cm

length of the hypotenuse of the triangle = x + 9 = 36 + 9 = 45 cm

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Answer:

After 7 minutes, both tanks have the same amount of water.

Step-by-step explanation:

The area of the shaded region of the Frame if it's 2 units wide would be = 17.5 units²

From the given diagram, the shaded region is the framed rectangle, and the white part is the frame.

The frame is 2 units wide which shows to get sides of the shaded rectangle is thus;

Length = 10/2 = 5

width = 7/2 = 3.5

Therefore the area of that shaded region is calculated using the formula for area of a rectangle:

Area of a rectangle = l × w = 5× 3.5 = 17.5 units²

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Answer:

Step-by-step explanation:

It is 20% because there is 5 squares. So we need to make this a fraction. So the fraction would be 1/5.  So we then have to find a multiple  for 1/5 because it is out of 100. So 20x5=100. So we have to multiply the top and the bottom part of the fraction by 20. So 5x20=100 and 1x20=100. So then we get 20/100. So the top number is your percent. So 20% is your answer. Good luck.

Answer:

There are three integers are there in the above list

The statement true is the segment BD bisects segment EC.

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Meg needs to find the part And Steve needs to find the percent.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Meg is a veterinarian she found that 33% of the nine dogs she saw this week were boxers.

The whole is the entire number of dogs seen is 9dogs.

The percent is given as 33%.

Hence, she needs to find the part: this is how many (what part) of the 9 dogs she saw were boxers.

9×33%=3 dogs are boxers

This is 3 dogs of 9 were boxers.

Steve already knows the part 9 of the 27 dogs were boxers

Then he needs to find the percent, he can do using the next operation:

Percent = (part / whole) × 100 = (9/27)×100

= 33%

Hence, Meg needs to find the part And Steve needs to find the percent.

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The quadratic function of 5 and 7 is f(x) = x² - 12x + 35

Suppose the solution of a quadratic equation is a and b, the its quadratic function is:

f(x) = (x - a) (x - b)

f(x) = x² - ax - bx + ab

f(x) = x² - (a+b)x + ab

In the given problem, the solution of the quadratic equation is 5 and 7. Hence, its quadratic function is:

f(x) = (x - 5) (x - 7)

f(x) = x² - 5x - 7x + 35

f(x) = x² - 12x + 35

We can also find the function directly using the last row formula:

f(x) =  x² - (a+b)x + ab

f(x) =  x² - (5+7)x + (5)(7)

f(x) = x² - 12x + 35

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Using mathematical operations, the greatest number of songs Aerabella can play at her Sweet 16 party is 106.

The number of songs Aerabella can play is determined by subtracting the fixed charge for the day from her spending budget and dividing the difference by the unit charge per song.

Subtraction and division operations are two of the four basic mathematical operations, including addition and multiplication.

The total spending budget = $130

The fixed rental charge for a DJ = $50

The charge per song (unit rate) = $0.75

The variable cost for the party = $80 ($130 - $50)

The number of songs Aerabella can play = 106.67 ($80 ÷ $0.75)

= 106

Thus, based on the mathematical operations of subtraction and division, and given the fixed cost of hiring a DJ, the highest number of songs Aerabella can play for her Sweet 16 party is 106.

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Answer:
-1/45

If this help please set brainliest.

Step-by-step explanation:

To find the number that when multiplied with -9/13 gives the product 45, you can divide 45 by -9/13. Dividing 45 by -9/13 is the same as multiplying -9/13 by the reciprocal of 45, which is -1/45. The reciprocal of a number is 1 divided by that number, so the reciprocal of 45 is 1/45.

Therefore, the number you are looking for is -1/45. When multiplied by -9/13, this number gives the product 45:

(-1/45) * (-9/13) = (-1 * -9) / (45 * 13) = 9/585 = 45

The number you are looking for is -1/45.

On solving the provided question, we can say  that - the value of the following function  f (x) = x³ + 3x² + 3x + 2 will be 9.

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

we have been provided with -

f (x) = x³ + 3x² + 3x + 2

so, x= 1

f(x) = 1+3+3+2 = 9

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The expression x + y = -2 is a Linear equation. Note that A linear equation is one whose solutions, when displayed on a graph, create a straight line. A linear equation is generally expressed as ax + by = c, where a, b, and c are constants and x and y are variables.

To rewrite the above expression, we must make "y" the subject of the expression after the similitude of y = mx + b Where m is the slope and b is the constant or intercept.

Hence the expression standardized is:

y = -x -2.

In the above case,

m = -1

b = -2.

In order to find the solution to the expression y = -x - 2, one would need to set x and y to any real values and find the pair of x and y that is consistent with the equation.

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The volume of a cylinder is given by [tex]\pi 2x^{3} - \pi 5x^{2} -\pi 24x +\pi 63[/tex].

we know that

The volume of a cylinder is given by the formula v=nr^2h

where

r is the radius of the cylinder

h is the height of the cylinder

in this problem, We know that height of the cylinder is given by h = 2x + 7 and radius r = x-3

Substituting the given values in the above formula to get:

Volume = [tex]\pi .(x - 3)^{2} .2x+7[/tex]

[tex]= \pi (x^{2} - 6x + 9)(2x + 7)\\\\= \pi (2x^{3} - 5x^{2} -24x +63)[/tex]

Hence , the volume of a cylinder is given by [tex]\pi 2x^{3} - \pi 5x^{2} -\pi 24x +\pi 63[/tex].

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The value of x in the algebraic equation '6/9 = x/6' is 4

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants.

For example 5x+6 = x is an algebraic equation where 5 and 1 are the coefficient of x at the L.H.S and R.H.S respectively. And x is the variable.

in the equation 6/9 = x/6. This equation is an algebraic equation with fraction.

We solve by multiplying both side by the L.C.M which is 18

6/9× 18 = x/6 × 18

12 = 3x

divide both sides by 3

x = 12/3 = 4

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The length of the midsegment of the trapezoid E(-7, 6), F(-2, 5), G(-2, 2), and H(-7, -4) found using the formula for finding the distance between two points on the coordinate plane is 6.5 units long

The formula for the distance d between two points on the coordinate plane is; [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The midsegment of a trapezoid is the segment that joins or extends between the midpoints of the sides of the trapezoid that are not parallel.

The parallel sides are the sides that have the same slope;

Slope of the side EF = (5 - 6)/(-2 - (-7)) = -0.2

Slope of the side FG = (5 - 2)/(-2 - (-2)) = Undefined

Slope of the side GH = (-4 - 2)/(-7 - (-2)) = 1.2

Slope of the side EH = (-4 - 6)/(-7 - (-7)) = Undefined

The non parallel sides are EF and GH

The midpoint of EF = ((-7 + (-2))/2, (6 + 5)/2) = (-4.5, 5.5)

The midpoint of GH = ((-7 + (-2))/2, (2 + (-4))/2) = (-4.5, -1)

The length of the mid segment is therefore;

d = √((-4.5 - (-4.5))² + (5.5 - (-1))²) = 6.5

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If two groups of numbers have the same mean, then other measures of location need not be same. The Sample Mean is always smaller than the mean of the population from which the sample was taken.

Mean: It is the most commonly used measure of central tendency. It actually represents the average of the given collection of data. It is applicable for both continuous and discrete data.

Median: Given that the data collection is arranged in ascending or descending order, the following method is applied:

If two groups of numbers have same mean that does not imply they will have same std deviation, median and mode. Even if two groups have same mean other measures may not be same because one group might be more or less scattered than the other group and though they may have same mean.

So the correct answer is option A.

Other measures of location need not be same.

2. Here, the correct option is option d. This is because when we calculate mean we basically take the average of each and every value in the given sample, which is bound to lie between the maximum and minimum value.

A mean can be zero if it has equal positive and negative numbers and a mean can be negative if it has more negative numbers. Again the mean of the sample is not always necessarily smaller than the mean of the population of which the sample is a part. Hence the first three options are incorrect

Therefore,  the correct option is option d. Mean is always smaller than the mean of the population from which the sample was taken.

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Answer: Your answer should be 10.8

Step-by-step explanation:

2.9+2.9+2.5+2.5

Pretty simple

Answer:

10.8 m

Step-by-step explanation:

To calculate the perimeter you must add up all the sides

= 2.5 + 2.5 + 2.9 + 2.9

= 10.8

Answer:

1.625 cups

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{25\pi}{108}\text{units}^2[/tex]

Step-by-step explanation:

The area of a sector is [tex]\displaystyle A=\frac{r^2\theta}{2}[/tex] where [tex]r[/tex] is the radius of the circle and [tex]\theta[/tex] is the angle that is formed by the sector in radians:

[tex]\displaystyle A=\frac{r^2\theta}{2}=\frac{(\frac{5}{6})^2*\frac{2\pi}{3}}{2}=\frac{\frac{25}{36}*\frac{2\pi}{3}}{2}=\frac{\frac{50\pi}{108}}{2}=\frac{50\pi}{216}=\frac{25\pi}{108}\text{units}^2[/tex]

Answer:

Line: Dashed

Shade: Below

m = -3/4

b = 3

(0,3) - False - No

(2,4) - True - Yes

(-1,-2) - False - No

Step-by-step explanation:

Given:

-3x < 4y - 12

Questions:

Line: Solid or Dashed?

Shade: Above or Below?

m=

b=

Are these points solution:

Solve:

Inequalities that use '< or >' symbols are plotted with a dashed line. Due to that dashed line means the solution doesn't include the line itself.

< = Less than

> = Greater than

Inequalities that use '≤ or ≥' symbols are plotted with a solid line. Due to that solid line means the solution does includes the line itself

≤ = Less than or equal to

≥ = Greater than or equal to

Therefore, based on the given, the line is Dashed. Which also means the solution doesn't includes the line itself.

We also know that the given info with the inequalities of "<".

"<" Means Less than which means shade below. If it was "> " which means greater than you have to shade above.

To find the m and b we first have to know that;

y = mx + b

m = Slope

b = y-intercept

To find the Slope(m) and b(y-intercept) we first have to put -3x < 4y - 12  in  slope-intercept form.

-3x < 4y - 12

y > -3/4x + 3

Hence,

m = -3/4

b = 3

To see if the following points {(0,3) (2,4) (-1,-2)} are solutions for -3x <4y-12

All we have to do is to substitute it in.

Starting with (0,3)

x = 0

y = 3

-3(0) < 4(3) - 12

0 < 0

False. 0 isn't less than 0- it equal to 0. Hence it isn't a solution to -3x < 4y - 12

Next (2,4)

x = 2

y = 4

-3(2) < 4(4) -12

-6 < 4

True. -6 is less than 4. Hence it is a solution to -3x < 4y - 12

Finally, we have (-1,-2)

x = -1

y = -2

-3(-1) < 4(-2) -12

3 < -20

False. 3 isn't less than -20. Hence it isn't a solution to -3x < 4y -12

RevyBreeze

The required, if triangle ABC is isosceles, then AB≅BC is a valid statment.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

here,
A triangle with two sides and two congruent angles is called an isosceles triangle.
So, if triangle ABC is isosceles, then AB≅BC is a valid statement because the definition of an isosceles triangle states that two sides of a triangle are equal.

Thus, the required, if triangle ABC is isosceles, then AB≅BC is a valid statment.

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Answer:

First step

Step-by-step explanation:

The right one is

[tex] {10}^{2} - {1}^{2} = 99 \\ \sqrt{99} = 3 \sqrt{11} [/tex]

If you have problems with mathematics you can text me if you want

The slope of the line that passes through the points (2, 3) and (0, 11) is -4.

Slope of line is calculated by the formula m = (y2-y1)/(x2-x1).

In this case, x1 = 2, y1 = 3, x2 = 0 and y2 = 11.

Plugging in the values gives us:

m = (11-3)/(0-2)

We can simplify this expression by multiplying the numerator and denominator by -1:

m = (-11+3)/(-2-0)

This simplifies to:

m = 8/-2

Finally, we can simplify the fraction to:

m = -4

Therefore, the slope of the line that passes through the points (2, 3) and (0, 11) is -4.

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The slope of the line that passes through the points (2, 3) and (0, 11) is -4

In this question we need to find the slope of the line that passes through the points (2, 3) and (0, 11)

We know that the formula for the slope of the line passing through points (x1, y1) and (x2, y2) is

m = (y2 - y1)/(x2 - x1)

Let  (x1, y1) = (2, 3)

and (x2, y2) = (0, 11)

Using above formula the slope of the line that passes through the points (2, 3) and (0, 11) would be,

m = (y2 - y1)/(x2 - x1)

m = (11 - 3)/(0 - 2)

m = 8 / (-2)

m = -4

Therefore, the slope of the line is -4

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Data or other facts gathered to test an idea are called evidence. Evidence is information that is collected and analyzed to support or refute a hypothesis or theory.

It can come in many forms such as observations, measurements, or statistics, and it can be qualitative or quantitative in nature. The purpose of gathering evidence is to evaluate the validity and reliability of an idea or theory by testing it against the facts.

Evidence-based decision-making is the process of using the best available evidence to inform decisions. The goal of evidence-based decision-making is to make decisions that are based on the best available evidence, rather than relying on intuition, tradition, or personal experience.

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