What is 5m^2+9n^3-mn^2+2m^3

The sample space for the given experiment is

{ (r,r) , (r,g) , (r,b)

  (g,r) , (g,g) ,(g,b)

  (b,r) , (b,g) , (b,b)}

A sample space is a set of potential results from a random experiment. Events are the subset of possible experiment results. An event is set of possible outcomes.

The die consists of 3 different colors namely red, green and blue

Here, the number of variables is 3 i.e red, green and blue.

The subset will contain

= \(2^{3}\)

=8 elements.

The red color is indicated by 'r'

The green color is indicated by 'g'

The blue color is indicated by 'b'

The events that can appear in a single roll is r, b or g.

Sample space for the next 2 rolls

={ (r,r) , (r,g) , (r,b)

  (g,r) , (g,g) ,(g,b)

  (b,r) , (b,g) , (b,b)}

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Answer:

10u

Step-by-step explanation:

Since they all have the same variable you can solve it normally.

8+10= 18

18-1=17

17-7=10

The rate of VAT on the vacuum cleaner is 15%

The given parameters are:

Selling price = Rs 12000

Discount = 12%

Amount Paid = 12144

The amount paid is calculated as:

Amount Paid = Selling Price * (1 - Discount) * (1 + VAT)

So, we have

12144 = 12000 * (1 - 12%) * (1 + VAT)

Evaluate the difference

12144 = 12000 * 0.88 * (1 + VAT)

Evaluate the product

12144 = 10560 * (1 + VAT)

Divide both sides by 10560

1.15 = (1 + VAT)

Subtract 1 from both sides

VAT = 0.15

Express as percentage

VAT = 15%

Hence, the rate of VAT on the vacuum cleaner is 15%

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Answer: (a) The English system of units used in surveying:

Length: The basic unit of length is the foot (ft).

Area: The basic unit of area is the square foot (ft²).

Volume: The basic unit of volume is the cubic foot (ft³).

Angles: The basic unit of angles is degrees (°).

(b) The SI (International System of Units) system of units used in surveying:

Length: The basic unit of length is the meter (m).

Area: The basic unit of area is the square meter (m²).

Volume: The basic unit of volume is the cubic meter (m³).

Angles: The basic unit of angles is the degree (°) or the radian (rad).

It's worth noting that while the English system is still used in some countries, the SI system is the globally recognized and widely adopted system of measurement.

Step-by-step explanation:

Answer:  6,048

Step-by-step explanation:

15,000-8,952=6,048

Answer:

4/£

6048

Step-by-step explanation:

just subtract 8952 from 15,000

Check the picture below.

so for the equation y = 40 + 20x, what's an appropriate domain? or namely, what could be some valid values for "x"?

well, Jessica is going to put in 20 bucks only for 12 weeks, so whatever "x" is going to be, is must be from 0 to 12, or in interval notation [0 , 12].

Answer:

The answer is 0.037433155

Step-by-step explanation:

Therefore, the probability of the curious pattern occurring is 1/36.

Probability theory is an important branch of mathematics that is used to model and analyze random phenomena, such as the outcomes of games of chance, the behavior of particles in physics, or the performance of complex systems in engineering. It has many practical applications in fields such as statistics, finance, economics, and computer science.

Here,

The probability of rolling a number greater than 3 on a fair die is 3/6 = 1/2, since there are three numbers (4, 5, 6) that satisfy this condition out of the six possible outcomes.

Similarly, the probability of rolling a number greater than 4 on a fair die is 2/6 = 1/3, and the probability of rolling a number greater than 5 is 1/6.

Since each roll is independent, we can multiply these probabilities together to get the probability that all three conditions are satisfied:

P = (1/2) × (1/3) × (1/6)

= 1/36

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Answer: its geometric

Step-by-step explanation: The numbers are separated and are counting up Individually

Step-by-step explanation:

Equation = 4m=16

Answer= 4m=16

m=16/4 = 4

So Tyrone has 4 model planes.

Don't know if its correct

Answer:

24 minutes

Step-by-step explanation:

90/45=2 x 12 = 24

Hope It Helps

To calculate the z-score, the formula is: z-score = (x - μ)/σ, where x is the value, μ is the mean, and σ is the standard deviation. Once the z-score is calculated, it can be used to look up the area, or probability, in the table.

A unit normal table is a type of probability table that is used to determine the area, or probability, under the normal curve. It is based on the standard normal probability distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. To use the unit normal table, one first needs to calculate the z-score, which is the number of standard deviations away from the mean a given value is. To calculate the z-score, the formula is: z-score = (x - μ)/σ, where x is the value, μ is the mean, and σ is the standard deviation. Once the z-score is calculated, it can be used to look up the area, or probability, in the table.

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Answer:

c = 10 - 11(0.65)

Step-by-step explanation:

The equation is :

Change will be :

Let's find

Answer:

13 mm

Step-by-step explanation:

V = πr²h

4,939.22 mm³ = 3.14 × (11 mm)²h

4,939.22 mm³ = 3.14 × (11 mm)²h

h = 13 mm

Answer: 13 mm

Answer:

15 days

Step-by-step explanation:

You'd divide 40 by 2 2/3, getting you 15.Therefore there will be enough food for the dog to eat for 15 days.

Answer:

when we stop 9x then

7 will go another side so,.9x=7

and when X is stoppedbit will be=7/9

Answer:

\( \sf \: x = 0\)

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 9x - 7 = -7

Then the value of x will be,

→ 9x - 7 = -7

→ 9x = -7 + 7

→ 9x = 0

→ x = 0 ÷ 9

→ [ x = 0 ]

Hence, the value of x is 0.

The linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

The given equation is x² + 2x* + 2x² - 12x + 10 = 0.

It needs to be linearized around its equilibrium position.

Linearizing the given equation around its equilibrium position x0, we have;

f(x) = f(x0) + f'(x0)(x - x0)

Where f(x) = x² + 2x* + 2x² - 12x + 10

The equilibrium position is the point where f(x) = 0.

Hence, f(x0) = 0.

Thus, x² + 2x* + 2x² - 12x + 10 = 0⇒ 3x² - 6x = -10⇒ x² - 2x + (2.33) = 0(x-1)² = 0.77x - 0.77 or

x = 1 + (0.77)/(2) or x = 1.39

Hence, the equilibrium position x0 = 1.39.

Substitute x0 = 1.39 in the equation and simplify to get f'(x0):

f(x) = x² + 2x* + 2x² - 12x + 10

f(x) = 3.84 - 8.34 + 10

f'(x0) = f'(1.39) = -4.8

Therefore, the linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

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Answer: It will take 10 weeks! :)

Step-by-step explanation:

So let's look at this together.

The question states that they raise 90$ per week.

There's two ways you can do this

You can multiply,

Think, what times 90 will equal 900? The answer is 10!

90 x 10= 900!

(if you need help with multiplication, let me know)

Or you can divide.

900/90=10!

(if you need help with division, let me know)

So it would take, in total, 10 weeks to raise 900 dollars.

A research question is an inquiry that a study or research project aims to resolve. Quantitative and Qualitative research questions are the components of questions.

Descriptive research questions are used to determine how the population of the study will react to one or more variables or to describe the factors that the study will evaluate. These questions typically begin with "what."

Comparative research questions aim to identify differences between two or more groups for an outcome variable. These inquiries could possibly be the cause. A comparison between two groups, one in which a certain variable is present and the other in which it is not, may be made, for instance.

Relationship research themes aim to find patterns and interactions between two or more variables. The phrases "association" and "trends," as well as dependent and independent variables, are commonly used in these enquiries.

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Answer:

m = 8

Step-by-step explanation:

2m + m = 24 ( collect like terms on left side )

3m = 24 ( divide both sides by 3 )

m = 8

Answer:

m = 8

Step-by-step explanation:

2m + m = 24

3m = 24

(3m)/3 = (24/3)

m = 8

Check:

2*8 + 8 = 24

16 + 8 = 24

Answer:

  (c)  y < x^2 -5x

Step-by-step explanation:

A quadratic inequality is one that involves a quadratic polynomial.

The degree of a polynomial is the value of the largest exponent of the variable. When the degree of a polynomial is 2, we call it a quadratic.

For the following inequalities, the degree of the polynomial in x is shown:

We see that the degree of the polynomial in x is 2 in ...

   y < x^2 -5x

so that is the quadratic inequality you're looking for.

__

Additional comment

When a term involves only one variable, its degree is the exponent of that variable: 5x^3 has degree 3. When a term involves more than one variable, the degree of the term is the sum of the exponents of the variables: 8x^4y3 has degree 4+3=7.

Answer:

x = -47

Step-by-step explanation:

Hi there!
We are given the equation x + 18 = -29 and we want to solve it for x

To solve these kinds of equations, we want to isolate x on one side of the equation (one side of the equation should ONLY have x on it).
In order to isolate x, we can add, multiply, subtract, or divide the equation by any numbers we choose

In this case, we'll need to get rid of 18 from the left side, so let's subtract 18 from both sides to remove it from the equation

So let's get on with subtracting 18 from both sides:
x + 18 = -29

Subtract 18 from BOTH sides

x+ 18 = -29
-18      -18
_______________

x=-29-18
Subtract 18 from -29

x = -47, which is our solution
Hope this helps!
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Answer:

x^3 + 10x^2 + 21x - 12

Step-by-step explanation:

(x + 4)(x^2 + 6x - 3)

you can separate to make it easier for u

x(x^2 + 6x - 3) + 4(x^2 + 6x - 3), this is optional u don't have to do this part

x^3 + 6x^2 - 3x + 4x^2 + 24x - 12

add like terms together

x^3 + 10x^2 + 21x - 12

1. The positive integers - Natural numbers

2. An ordering of quantities separated by commas - Sequence

3. The sum of the terms of an associated sequence - Series

4. One of the individual quantities of a sequence - Term of a sequence

5. A formula that yields the value of a term when that term is substituted in it - General term of a sequence

6. A series that has a common difference between terms - Arithmetic series

7. A series that has a common ratio between terms - Geometric series

8. A sequence in which each successive term changes sign - Alternating sequence

The positive integers - Natural numbers.

The positive integers refer to the numbers 1, 2, 3, 4, and so on, which are also known as natural numbers.

An ordering of quantities separated by commas - Sequence

A sequence is an ordered list of numbers, terms, or elements.

The sum of the terms of an associated sequence - Series

A series is the sum of the terms of a sequence.

One of the individual quantities of a sequence - Term of a sequence

A term of a sequence refers to one of the individual quantities or elements within the sequence.

A formula that yields the value of a term when that term is substituted in it - General term of a sequence.

The general term of a sequence is a formula or expression that allows us to calculate the value of any term in the sequence by substituting the term's position or index in the formula.

A series that has a common difference between terms - Arithmetic series

An arithmetic series is a series in which there is a constant difference between each term.

A series that has a common ratio between terms - Geometric series

A geometric series is a series in which there is a constant ratio between each term.

A sequence in which each successive term changes sign - Alternating sequence

An alternating sequence is a sequence in which each successive term alternates between positive and negative values, changing sign from one term to the next.

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Match the following items.

1. the positive integers alternating sequence

2. an ordering of quantities separated by commas natural numbers

3. the sum of the terms of an associated sequence general term of a sequence

4. one of the individual quantities of a sequence term of a sequence

5. a formula that yields the value of a term when that term is substituted in it arithmetic series

6. a series that has a common difference between terms series

7. a series that has a common ratio between terms sequence

8. a sequence in which each successive terms changes sign geometric series

Answer:

the slope is -2

Step-by-step explanation:

Answer: 7 bulbs

Step-by-step explanation: 21/3

Answer:

............

Step-by-step explanation: