Find domain and range. Due tmrw!

The expression that has the element of A*B*B is Option A - (b,2,3)

Sets are groups of clearly defined objects or elements in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.

The "elements" of a set are the objects that make up the collection. Sets are equal if and only if they have the same elements, therefore a = A denotes that 'a' is one of A's elements. For sets, repetition and order are irrelevant.

Given, A={a.b} and B=[1,2,3]

Since the required expression was supposed to have the element of A*B*B the correct option would be A since it has elements b from A, 2 from B, and 3 from B, fulfilling all the required elements.

To learn more about discrete maths visit: brainly.com/question/27793609

#SPJ4

Answer:

one solution

Step-by-step explanation:

because it has diffrent slopes

Answer:

£12000

Step-by-step explanation:

1 year = 1.5%

4 years = 6%

6% = 0.06

200000 times 0.06 = £12000

So, Katy will get £12000 interest rate at the end of 4 years.

If you can, please give me a Brainliest; thank you, and have a good day!

Answer:

£3,137

Step-by-step explanation:

First year: £200000 x 1.5% = £3,000

Second year: £203,000 x 1.5% = £3,045

Third year: £206,045 (because of 203,000+3,045) x 1.5% = £3,090.675

Last year: £209,135.675 x 1.5% = approximately £3,137

A box of truffles costs $4.00 each

A box of peanut brittle costs $4.00 each

What is the algebra of equation?

A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases.

Here, we

Let t = boxes of truffles and p = peanut brittle

53t + 54p = 428...(1)

67t + 54p = 484...(2)

On solving equations (1) & (2), we get

14t = 56

t = 4

53t + 54p = 428

53(4) + 54p = 428

212 + 54p = 428

54p = 216

p = 4

Hence,

A box of truffles costs $4.00 each

A box of peanut brittle costs $4.00 each

to learn more about the algebra of equations from the given link

https://brainly.com/question/432678

#SPJ1

I agree with Noah because she used Pythagorean theorem.

Pythagoras, a Greek philosopher who was born in 570 BC, is honored by having his theorem named after him. The theorem has likely been demonstrated the most times of any mathematical theorem using a variety of techniques.

In analytic geometry, when Euclidean space is represented by a Cartesian coordinate system, Euclidean distance satisfies the Pythagorean relation: the squared distance between two points equals the sum of squares of the difference in each coordinate between the points. The theorem can be applied to higher-dimensional spaces, non-Euclidean spaces, objects other than right triangles, and even things that are not triangles at all but n-dimensional solids.

Given that,

Taylor says that triangle ACD is similar to triangle ABC

And length of CB is 11.96

Abd also given that,

Noah says that since ABC is a triangle.

Length of CB is 12

I agree with Noah because she used Pythagorean theorem,

BC²+AC²=AB²

12²+5²=13²

144+25=169

169=169

So, I agree with Noah.

To know more about Pythagorean theorem, visit:

https://brainly.com/question/28361847

#SPJ1

The probability of getting two odd numbers is 1/2*1/2 = 1/4.

Making the standard assumptions (unbiased die, faces numbered 1-6), there are three odd numbers per die (1, 3 and 5), so the probability of getting an odd number on a die is 3/6 = 1/2, and the probability of getting two odd numbers is 1/2*1/2 = 1/4.

To learn more about binomial probability   refer,

https://brainly.com/question/9325204

#SPJ4

1/2*1/2 = 1/4 is the likelihood of receiving two odd numbers.

When an experiment has just two possible results, binomial probability can be used to calculate the likelihood of each outcome (success and failure).

In a binomial circumstance, there are only two outcomes that can occur on each try. Depending on what you want, you may declare one of the possibilities a failure and the other a success. Anything less than a 6 is a failure, whereas a 6 is a triumph.

A binomial experiment is a statistical test that has the following features: The experiment consists of n repeated repetitions. Each experiment has only two possible outcomes. One of these outcomes is known as a success, while the other is known as a failure.

According to the given information

The probability of receiving an odd number on a die is 3/6 = 1/2 and the likelihood of getting two odd numbers is 1/2*1/2 = 1/4 under the usual assumptions (unbiased die, faces numbered 1-6). There are three odd numbers per die (1, 3 and 5).

To know more about Binomial Probability

https://brainly.com/question/29350029

#SPJ4

The equation of the line in slope-intercept form is y = 0.5x + 1

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

Points = (0, 1) and (-4, -1)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

m = slope

This means that

c = 1

So, we have the following representation

y = mx + 1

At (-4, -1), we have

-1 = -4m + 1

This gives

-4m = -2

Divide by -4

m = 0.5

So, we have

y = 0.5x + 1

Hence, the equation  is y = 0.5x + 1

Read more about linear equation at

https://brainly.com/question/2030026

#SPJ1

If you have to maintain the same average as in the first quarter of the year, you will have to spend $183 in the month of June.

Given is that your average monthly expenditure for gasoline during the first quarter was $167.70. You spent $147.20 in April and $172.90 in May.

Assume that you can spend $x in the month of June. So, we can write -

(147.2 + 172.9 + x)/3 = 167.7

147.2 + 172.9 + x =503.1

x = 183

Therefore, you can spend $183 in the month of June to have the same average.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

The line given by the point slope equation y - 8 = 1/2 (x - 4) represents the linear function f(x) = [tex]\frac{1}{2}[/tex] x + 6.

Linear functions are those functions whose graph drawn is a straight line. It consists of one dependent variable and one independent variable.

Linear functions are usually represented as f(x) = y = p + qx.

The given equation of the line in point slope form is,

y - 8 = 1/2 (x - 4)

⇒ y - 8 = (1/2 × x) - (1/2 × 4)

⇒ y - 8 = 1/2x - 2

⇒ y = 1/2x -2 + 8

⇒ y = 1/2x + 6

When x = 0, y = f(0) = (1/2 × 0) + 6 ⇒ f(0) = 6

Hence linear function f(x) = [tex]\frac{1}{2}[/tex] x + 6 represents the line given by the point slope equation y - 8 = 1/2 (x - 4).

To learn more on Linear Functions, click:

https://brainly.com/question/20286983

#SPJ1

Q1 If you averaged every person in the population, the result would be Mu, but the mean of a sample, or xbar, would be the average value discovered in the sample.

Q2 For the group being tested, each point in a sample distribution represents a potential outcome variable.

Q3 The random condition is very important because it simplifies the sample and prevent possible bias in the sampling.

Q4 To make sure that the observations in the sample are nearly independent, it is crucial to evaluate the 10% condition before calculating probability involving x.

Q5 The big counts criterion ensures that there are more successes than failures for a normally distributed set of results. The need for big numbers is np ≥10 and n(1-p) ≥10.

Q6 For a variety of reasons, finding unbiased estimates for those seeking asylum may be challenging. First, because of persecution, these people are escaping their country.

Q7 there is less spread for larger sample than that of lower sample.

The probability distribution of a statistic acquired from a bigger sample size taken from a certain population is known as the sampling distribution.

Based on the data they have available, sampling distributions are useful tools used by researchers to estimate and draw conclusions about a wider population of interest.

Q1 If you averaged every person in the population, the result would be Mu, but the mean of a sample, or xbar, would be the average value discovered in the sample.

Q2 For the group being tested, each point in a sample distribution represents a potential outcome variable.

Q3 The random condition is very important because it simplifies the sample and prevent possible bias in the sampling.

Q4 To make sure that the observations in the sample are nearly independent, it is crucial to evaluate the 10% condition before calculating probability involving x.

Q5 The big counts criterion ensures that there are more successes than failures for a normally distributed set of results. The need for big numbers is np ≥10 and n(1-p) ≥10.

Q6 For a variety of reasons, finding unbiased estimates for those seeking asylum may be challenging. First, because of persecution, these people are escaping their country.

Q7 there is less spread for larger sample than that of lower sample.

To learn more about sampling distribution visit:

https://brainly.com/question/13501743

#SPJ4

The solution of the system of equation 2x + 4y = 16, 2x - 4y = 0 is (4, 2). The correct option is A.

System of equations can be solved using different method such as substitution method, elimination method and graphical method. The system of equation can be solved with the elimination method as follows:

2x + 4y = 162x - 4y = 0

add equation(ii) to equation(i)

2x + 2x  = 16 + 04x = 16

divide both sides by 4x = 16

x = 4

Let's find y

2x - 4y = 0-4

y = -2x-4y = -2(4)

-4y = -8

divide both sides by -4y = -8 / -4y = 2

Therefore, the solution is (4, 2)

learn more on system of equation here: https://brainly.com/question/24065247

#SPJ1

Answer:

Kayla Calculated the Mean instead of the median.

Step-by-step explanation:

If Kayla's work is the sum of all the numbers, she is calculating the mean.

The difference between F(8) and F(2) is 12

What are Functions?

A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).

Solution:

Given: Function of Warming Room = F(m) = 2m + 58

To Find: F(8) - F(2)

F(8) = 2*8 + 58 = 16+58 = 74

F(2) = 2*2 + 58 = 4+58 = 62

F(8) - F(2) = 74 - 62 = 12

The difference between F(8) and F(2) is 12

To learn more about Functions from the given link

https://brainly.com/question/22340031

#SPJ1

The function depicted in the table has the following slope-intercept form:

y = -3x + 4

For such equation of every straight line, the slope-intercept form is provided by:

y = mx +c

where:

Choose 2 points from the provided table, such as (2,-2) and (3,-5) and to use the evidence that the slope is, to determine the line's slope.

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

m = -5 + 2 / 3 - 2

m = -3

You can use the point (2,-2) or other point listed in the table along with this relation, to determine the y-intercept b.

b = y1 - mx1

b = (-2) -(-3 + 2)

b = 4

Consequently, is the function represented by the table's slope-intercept form: y -3x + 4.

To know more about the equation of straight line, here

https://brainly.com/question/25969846

#SPJ4

Step-by-step explanation:

-4(n-6)=12

-4n+24=12

-4n=-36

4n=36

n=36/4

Answer: No the triangle with sides 8cm 16 cm 18cm can't be a right angle triangle because of the Pythagoras theorem which states   that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

Step-by-step explanation:

Hope this was helpful

Answer:

no it is not a right angled triangle the Pythagoras theorem

The scatter chart indicates that there is a positive relationship between profits and market capitalization. This means that as profits increase, market capitalization also tends to increase.

The covariance between two variables is a measure of how much the variables tend to change together. A positive covariance indicates that the variables are positively related, which means that as one variable increases, the other tends to increase as well. In this case, a positive covariance between profits and market capitalization indicates that the two variables are positively related.

The correlation coefficient is a measure of the strength of the relationship between two variables. A correlation coefficient of 1 indicates a perfect positive relationship, while a coefficient of -1 indicates a perfect negative relationship. A coefficient of 0 indicates that there is no relationship between the variables. In this case, the correlation coefficient of 0.8229 indicates that there is a strong positive linear relationship between profits and market capitalization.

Learn more about Correlation Coefficient here:

https://brainly.com/question/27842223

#SPJ4

Answer:

JL = 7.5

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{JL}{AC}[/tex] = [tex]\frac{JK}{AB}[/tex] ( substitute values )

[tex]\frac{JL}{2.5}[/tex] = [tex]\frac{10.5}{3.5}[/tex] ( cross- multiply )

3.5 × JL = 2.5 × 10.5 = 26.25 ( divide both sides by 3.5 )

JL = 7.5

The circle's perimeter is determined by F = -9π, according to green's theorem.

The simple formula for Green's theorem is the link between the total amount of microscopic circulation inside curve C and the macroscopic circulation revolving around it.

Remembering that we are talking about two dimensions, if C is a straightforward closed curve in the plane, it will enclose the region D (shown in red) in the plane.

So, knowing that this exercise should be solved using Green's theorem, then:

[tex]\begin{aligned}& \int 4 y d x+2 x y d y=\iint(d / d x)(2 x y)-(d / d y)(4 y) d A \\& =\iint 2 y-4 d A\end{aligned}[/tex]

You must convert in this manner to polar coordinates, and the result will be:

[tex]\begin{aligned}& \int_0^3 \int_0^{2 \pi}(2 r \sin (\theta)-4)(r) d \theta d r \\& =\int_0^3(-2 r \cos (\theta)-4 \theta)(-2 r \pi) d r \\& =-(\pi)\left(r^2\right)=-9 \pi\end{aligned}[/tex]

Therefore, the circle's perimeter is determined by F = -9π, according to green's theorem.

Know more about Green's theorem here:

https://brainly.com/question/23265902

#SPJ4

Correct question;
Suppose F⃗ (x,y)=4yi⃗ +2xyj⃗ . Use Green's Theorem to calculate the circulation of F⃗ around the perimeter of a circle C of radius 3 centered at the origin and oriented counter-clockwise.

1/2

what is whole number?

All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions. Whole numbers include counting numerals as well.

According to question,

heaviest squash than the lightest squash are,

[tex]7/8-3/8=4/8[/tex]

[tex]=1/2[/tex]

To know more about whole number checkout https://brainly.com/question/29766862

#SPJ1

By using  Pythagorean theorem ,148  is the length of the side of the slab in inches .

What is the Pythagorean theorem in plain English?

The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, which is the side that faces the right angle, are equal when added together.

                    This is written as a2 + b2 = c2 in the usual algebraic notation.

12 inches = 1 feet  

 feet measurment = 407/12  = 33.91 feet

In triangle ABC

Using PYTHAOREAN THEOREM

               l² + b² = h²

             l = √h²  -  b²

            l =  √407² - 379²

            l = √165649 - 143641

            l = √22008

           l = 148.35

           l ≈ 148

Learn more about Pythagorean theorem

brainly.com/question/14930619

#SPJ1

Answer:

Consider the following graph

(a) Find the interval(s) on which fis increasing. (Enter your answer using interval notation.)  = (1,3)U(4,6).

(b) Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.) = (0,1)U(3,4).

(c) Find the open interval(s) on which fis concave upward. (Enter your answer using interval notation.) = (0,2).

(d) Find the interval(s) on which fis concave downward. (Enter your answer using interval notation.) = (2,4)U(4,6).

(e) Find the coordinates of the point(s) of inflection. (x,y)

=  (2, 3), (4, 1)

The graph of the derivative f' of a function fis shown.

(a) on what intervals is f increasing? (Enter your answer using interval notation.) = (0,1)U(3,5)

(b) On what intervals is f decreasing? (Enter your answer using interval notation.) = (1,3)U(5,6)

(c) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.) = 1,3,5

Answer: 22 = a - 295

Step-by-step explanation:

"equals" means equals or the solution and can be shown with the equal sign.

"reduced by" also means subtracted by and can be shown as the minus sign.

I hope this helps :)

Principal will be $1000

Given values

Simple interest, SI= $800

Interest rate, R=8%

Time, T=10 months

Principle, P= Y

As we know;

[tex]Simple Interest, SI=P×R×T[/tex]

By substituting the values, we get

$800= Y ×8% ×10

$800=0.8Y

$800÷0.8= Y

$1000=Y

Thus the above response is correct.  

Learn more about Simple interest here:

brainly.com/question/15469221

#SPJ4

The rate of change or the speed of the different sections and the distance answers are below;

1) 2 m/s

2) 0 m/s

3) 3 m/s

4) Section C

5) Section A

1) The formula for the slope is;

Slope = (y₂ - y₁)/(x₂ - x₁)

Taking two coordinates in section A, we can find the slope which gives us the speed;

Speed = (50 - 0)/(25 - 0)

Speed = 2 m/s

2) Section B shows that the speed is constant and as such the rate of change of speed 0 m/s

3) Rate of change of section C is;

Speed = (80 - 50)/(70 - 60)

Speed = 3 m/s

4) The section that the person was moving at the highest speed is 3 m/s which is section C.

5) The section that the person travelled the farthest is section A which was 50 meters.

Read more about distance - time graph at; https://brainly.com/question/13877898

#SPJ1

Answer:

9x^2-12x+4=0

Step-by-step explanation:

you can use factorization method or Quadratic method (Almighty formular).

‍

The number of the solution of the equation is 2 and the solution is equal and real which is 2/3.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The quadratic equation is ax² + bx + c = 0. Then the discriminant is given as,

D = b² - 4ac

The equation is given below.

9x² - 12x + 4 = 0

The discriminant is given as,

D = (-12)² - 4 x 9 x 4

D = 144 - 144

D = 0

Then the roots of the equation is given as,

9x² - 12x + 4 = 0

(3x)² - 2 · 3x · 2 + (2)² = 0

(3x - 2)² = 0

x = 2/3

The number of the solution of the equation is 2 and the solution is equal and real which is 2/3.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ12

Answer: 3 ft per second

Step-by-step explanation: 40/4 120/4
10/10 30/10

1 second = 3 ft

OR

120/40=3

The correct option Rotate 90 counterclockwise about the origin, then translate 9 units right and 1 unit down, to get the image triangle DEF.

Translation:

Rotation 90 counterclockwise:

Thus, triangle transformation Triangle DEF is the congruent image produced by ABC. Turn the object 90 degrees counterclockwise, then move it 9 units to the right and 1 unit to the bottom.

To know more about the transformation of coordinates, here

https://brainly.com/question/18222741

#SPJ1

Given that sin 30 degree = 1/2 and cos 30 degree = Squareroot 3/2the value of cot(30°) is  = Squareroot 3

Sine 30°=1/2

Cos 30° = √3/2

Sin 30 degrees has a value of 0.5. Sin 30 can also be expressed in radians as sin /6. The triangle's angles and side length are related by the trigonometric function, often known as an angle function.

The sine function, cosine function, and tangent function are the three trigonometric ratios that are the most well-known.

The ratio of the adjacent side to the hypotenuse is referred to as the cosine function. If the right triangle's angle is 30 degrees, then the cosine value at this angle, or the value of Cos 30 degrees, is expressed as 3/2.

To learn more about sine and cosines

https://brainly.com/question/29426326

#SPJ4

Answer:

3

Step-by-step explanation: