Consider the rectangle.
2x
Which pair of expressions represents the area of the rectangle?
O 2 (2x) +2 (6) and 4x + 8
O 2 (2x) + 2(6) and 42 +12
O 8x and 6 (2x)
O 120 and 6 (2x)
Calculator

fractions with the same denominator added together

You must add the numerators and keep the same denominator when adding fractions with the same denominator. Since the denominators of the two fractions are the same, we must add the numerators while maintaining the same denominator, which is 4.

What are the parts of fraction?

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

The number below the bar is called the denominator . It tells the number of equal parts into which the whole has been divided. The number above the bar is called the numerator. It tells how many of the equal parts are being considered.

To learn more about  fractions visit:

https://brainly.com/question/8482939

#SPJ4

Answer:

it is A.

Step-by-step explanation:

The answer is not an equation, because for it to be an equation, an equal sign is required. Therefore it is an expression.

It is algebraic because there are variables involved. If there were only numbers, it would be numerical.

hope this helps!

Answer:

A. an algebraic expression

Step-by-step explanation:

It is algebraic because there is a variable involved, s. It is also an expression because there is no equal sign before or after the terms.

Answer:

m = 12

Step-by-step explanation:

\(-\frac{m}{3} =-4\\\)

→ Multiply both sides by 3

\({-m} =-12\\\)

→ Multiply both sides by -1

m = 12

Answer:

Step-by-step explanation:

Plate tectonics is a scientific theory describing the large-scale motion of the plates making up the Earth's lithosphere since tectonic processes began on Earth between 3.3 and 3.5 billion years ago. The model builds on the concept of continental drift, an idea developed during the first decades of the 20th century.

A cylindrical object is 3.13 cm in diameter and 8.94 cm long and weighs 60.0 g. The density of the cylindrical object is 0.849 g/cm^3.

To calculate the density, we first need to find the volume of the cylindrical object. The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder.

Given that the diameter is 3.13 cm, the radius is half of that, which is 3.13/2 = 1.565 cm. The length of the cylinder is 8.94 cm.

Using the values obtained, we can calculate the volume: V = π * (1.565 cm)^2 * 8.94 cm = 70.672 cm^3.

The density is calculated by dividing the weight (mass) of the object by its volume. In this case, the weight is given as 60.0 g. Therefore, the density is: Density = 60.0 g / 70.672 cm^3 = 0.849 g/cm^3.

Visit here to learn more about cylindrical:

brainly.com/question/31350681

#SPJ11

The best description about the sampling distribution of means for the student's sample is mu x = 45, sigma x = 3.75, shape of distribution unknown.

Sampling distribution is defined as the probability distribution of a statistical measure which is got by the repeated sampling of a specific population.

Given that,

μ = 45 minutes and σ = 15 minutes

Sampling distribution of means for the student's sample is :

μₓ = μ = 45

σₓ = σ / √n, where n is the sample size.

σₓ = 15 / √(16) = 15 / 4 = 3.75

Now since the sample size 16 which is less than 30, shape of the distribution is unknown.

Hence the sampling distribution is, μₓ = 45, σₓ = 3.75, and the shape of distribution is unknown.

Learn more about Sampling Distribution here :

https://brainly.com/question/14390195

#SPJ1

The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.

The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.

Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.

Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.

Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.

Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.

Learn more about differential equation here:

https://brainly.com/question/32524608

#SPJ11

Answer:

The number of different platters Selena can create by selecting two different vegetables is 60 different platters

Step-by-step explanation:

The information given are;

The number of different sizes of salad available = 4

The number of different vegetable to choose from = 6

The number of vegetables Selena ordered = 2

The number of ways Selena can choose 2 vegetables out of 6 = ₆C₂ = 15 ways

The number of different platters (choice of vegetable and size of platter) Selena can create = The number of different sizes of salad available × The number of ways Selena can choose the vegetables

The number of different platters (choice of vegetable and size of platter) Selena can create = 4 × 15 = 60 different platters.

Answer:

you got it right

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = -4x +3

Y-intercept = 3

The slope is negative: - 4/1

4 down ( from y = 3) and one to the right or

4 up (from y=3) and 1 to the left.

(You only need 2 points to trace a line)

It can be concluded that 10⁵ ≠ (-10)⁵.

An algebraic expression in mathematics is a combination of terms, both

constants and variables. For example -

2x + 3y + z

Given is 10⁵ is the same as (-10)⁵.

We can write 10⁵ as -

10⁵ = 10 x 10 x 10 x 10 x 10

(-10)⁵ = - 10 x - 10 x - 10 x - 10 x - 10 = - (10 x 10 x 10 x 10 x 10)

So, we can conclude that -

10⁵ ≠ (-10)⁵

Therefore, it can be concluded that 10⁵ ≠ (-10)⁵.

To solve more questions on powers and exponents, visit the link below

https://brainly.com/question/26119139

#SPJ9

Answer:

66.67

Step-by-step explanation:

using the Percentage Calculator

says that it's 66.67

Answer:

66.67

Step-by-step explanation:

Answer:

Find the rate of sales tax

R= 9000/120000

=0.075

=7.5%

So, the rate is 7.5%

The statements that are true based on the following given information is  F ⊂ D (E ∩ F) is the empty set.

You should understand that a set is the collection of different items or numbers to form a group.

The given parameters that will help us to understand what a set is is given below

The elements of these sets are given as follows

D= {1,2,3,4,5,6,7,8,9, ...}

E= {4,9,16,25}

F= {20,22,24,26,28,30)

D ∪ E = {1,2,3,4,5,,,,,9......16....25...) ≠ E

Also

E∪(D∩F) =

First find (D∩F) =

(D∩F) =  but E∪(D∩F) = Ф

Also, F ⊂ D (E ∩ F)

E∩F = Ф and F⊄E

Therefore it is an empty set

Learn more about set on  https://brainly.com/question/4801204

#SPJ1

Answer:

A. x=4

B. x=16

Step-by-step explanation:

A. multiply out: 3x+6=18

subtract 6 from both sides: 3x=12

divide both sides by 3: x=4

B. subtract 2 from both sides: x=16

The experimental probability of a spinner landing on purple (P) in Experiment A is 4/10 or 2/5.

To determine the experimental probability of the spinner landing on purple (P) in Experiment A, we need to count the number of times the spinner landed on purple and divide it by the total number of spins.

Looking at the results in Experiment A, we can see that the spinner landed on purple (P) twice.

Total number of spins = 10 (as given in the table)

Therefore, the experimental probability of the spinner landing on purple (P) in Experiment A is:

= Number of times landing on purple / Total number of spins

= 2/10

= 1/5.

As, the spinner landed on purple twice then

= 2 x 1/5

= 2/5

Learn more about Probability here:

https://brainly.com/question/30297781

#SPJ1

Answer:

3 raise to power -100

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

x = 9

Step-by-step explanation:

First, combine like terms. Like terms are terms with the same variable as well as the same amount of said variables:

4x - 10 + 5x = 71

(4x + 5x) - 10 = 71

9x - 10 = 71

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 10 to both sides of the equation:

9x - 10 (+10) = 71 (+10)

9x = 71 + 10

9x = 81

Next, isolate the variable x by dividing 9 from both sides of the equation:

(9x)/9 = (81)/9

x = 81/9 = 9

x = 9 is your answer.

~

Answer:

£1.44

Step-by-step explanation:

We need to find the number of days it was due first.

26 Nov to 12 Dec: 16 days

1 day --- 9p

16 days --- 16 × 9p = 144p

                              = £1.44

Answer:

The difference is 3 for 4-7, and 39 for 52-91. So basically its a change of 3 for every 4-7 I think this is what you ask for. Let me explain and show results and then pick what you need.

Step-by-step explanation:

So, we know 4 to 7 is 3.

52 to 91 is 39.

So one is a change in 3. the other is a change is 39.

However, could these be the same, just bigger?

Lets divide the 52 to 91 with a change of 39 by 4 to 7 with a change of 3:

52/4 to 91/7 with a change of 39/3 =

13 to 13 with a change of 13.

So this tells us that the 52 to 91 with a chang eof 3 is 13 times bigger than 4 to 7 with a change of 3.

Hope this helps!

The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

To know more about Binary Search Tree, visit:

https://brainly.com/question/30391092

#SPJ11

Answer:

monomial

Step-by-step explanation:

Answer:

267.3

Step-by-step explanation:

area of a regular polygon =

(perimeter * apothem)/2

perimeter: 9 * 6.6 = 59.4

area: 59.4 * 9 = 534.6

534.6/2 = 267.3

area = 267.3

a) The binomial expansion of (1+12x)^1/2 is given by:

(1+12x)^1/2 = 1^1/2 + (1/2)(1^-1/2)(12x) + (1/2)(1^-1/2)(-1/2)*(12x)^2 + ...

Binomial expression: what is it?

A polynomial with only terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct terms. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic expression that contains a constant, exponents, a variable, and a coefficient.

The first four terms, in ascending powers of x, are:

1, (1/2)(12x), (1/8)(12x)^2, (1/16)*(12x)^3

b) To use x=1/36 in the expansion, you would substitute x=1/36 into the expansion, and keep only the terms up to x^3 (the fourth term in the expansion). This will give an approximation of the value of (1+12x)^1/2 when x=1/36.

This will be an approximation of √12 because x=1/36 corresponds to 12x = 1 and the initial value of the expansion is 1 + 12x .

We can use this approximation to approximate square root of 12 and also for other square roots by using appropriate x values.

Learn more about Binomial expression

https://brainly.com/question/13672615

#SPJ1

Answer:

The perimeter of a semicircle is the sum of half of the circumference of the circle and its diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.

the value of the expression is 12.

To solve the following using BEDMAS 5X4 - (3 + 1)2 ÷ 2:BEDMAS is an acronym that represents the order of operations for arithmetic operations in the correct order, that is, "Brackets", "Exponents", "Division and Multiplication", and "Addition and Subtraction."The full form of BEDMAS is- B stands for Brackets.E stands for Exponents.D stands for Division.M stands for Multiplication.A stands for Addition.S stands for Subtraction.

The given expression is;5X4 - (3 + 1)2 ÷ 2When we solve this expression using the BEDMAS rule of the order of operations, we get;= 5 x 4 - (3 + 1) x 2 ÷ 2[Since brackets comes first, then multiplication and division, followed by addition and subtraction.]= 20 - 4 x 2 ÷ 2[Perform multiplication: 3 + 1 = 4 and 4 x 2 = 8]= 20 - 8[Perform Division: 8 ÷ 2 = 4]= 12Therefore, the value of the expression is 12.The solution of the given expression using the BEDMAS rule of the order of operations is explained. The BEDMAS rule defines the correct order in which arithmetic operations should be performed.

It consists of four fundamental operations. They are brackets, exponents, multiplication and division, and addition and subtraction. The expression, 5X4 - (3 + 1)2 ÷ 2, can be solved using the BEDMAS rule of operations. First, we will simplify the brackets, followed by division and multiplication, then addition and subtraction. We will get the following expression 5 x 4 - (3 + 1) x 2 ÷ 2. We will then perform multiplication by finding the product of (3 + 1) and 2, which equals 8. Finally, we will perform division by dividing 8 by 2, which equals 4. After we have completed these steps, we will subtract 8 from 20 to get the final answer of 12.

Learn more about BEDMAS here,

https://brainly.com/question/30056663

#SPJ11

Amount = $404.01

Second Period Interest = $ 2.01.

The interest that is computed using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Different methods can be used to compute compound interest depending on the circumstance. To make the computations simpler, we may utilise the compound interest formula. We need to know the quantity and the principal in order to compute compound interest. The difference between the two is the principle.

In this problem,

Principal = $ 400

Rate(r) = 6% (annually)

Compounded monthly., n =12

Second Period of interest is the 2nd Month = \(\frac{2}{12} \ of \ a \ year = \frac{1}{6} \ of \ a \ year\).(t)

Amount Generated (A)

= \(P(1 + \frac{r}{n})^{nt}\)   = \(400(1 + \frac{6}{12 * 100})^{12*\frac{1}{6} } = 400(1 + \frac{1}{200})^{2} = 404.01\)

Amount = $404.01

Second Period Interest = 2nd Period Amount - 1st period Amount = 404.01 - 402 = $ 2.01.

To learn more about Compound Interest refer to :

https://brainly.com/question/25857212

#SPJ1

Answer:

Tdjdjfhbs djdjdjdjd djdjdjjdjd

Step-by-step explanation:

Brainiest ududhdhxhc