Help me show my work on 13.

Answer:

2[3+4/-2(3-4)]+3

Step-by-step explanation:

2[3+-2(-1)] +3

2[3+2] +3

2(5) +3

10+3

13

Answer:

Any number above 4 will make this true.

Step-by-step explanation:

(5 x 4)/ 3 = 20/3 = 6.67 > 5

Answer:

Any number greater than 3.

Step-by-step explanation:

If you multiply 5 by any number greater than 3 and then divide it by 3 it will result in a number bigger than 5.

If you multiply the 5 by a number less than three, and then divide it by 3 it will result in a number less than 5 which makes the equation false.

You also can't multiply 5 by 3 and then divide it by 3 because it will make the answer equal to 5. This makes the equation false.

Answer: 4b+2

Step-by-step

(7b+1)-(3b-1)

7b+1-3b+1

4b+2

When (7b -1) - (3b - 1) is substrate then final value will be 4b.

Answer is 4b and correct option is a.

Subtraction would be the operation as well as process of determining the difference among two numbers or quantities. Subtracting one amount from another is however known as 'taking one number aside from another'.

Here given that,

(7b-1)-(3b-1)

we need to subtraction , so first we need to open brackets,

7b-1-3b+1= 4b

7b-3b will be equal to 4b.

so  got the answer 4b and option a is correct according to this answer.

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Answer:

The real answer is 8/11

Step-by-step explanation:

The fractional value of 0.72 is 18/25.

A decimal is a number with a whole and a fractional part. Decimal numbers are between integers and represent numerical value for whole plus some fraction of a whole.

A decimal number comprises two parts: a whole number component and a fractional component. The decimal place value system is the same as the whole number value system for the whole component of a decimal number.

Given:

We have the decimal number 0.72.

Now,  we can remove the decimal and put the number of zeroes in the denominator.

So, 0.72

= 72/100

Now, simplifying the fraction as

= 36/ 50

= 18/25

Now put decimal point ahead of two number from the numerator.

So, 37/100 = 0.37

So, the decimal is 0.37.

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The expression that is equivalent to 2x + 3 = 3 + 2x.

Information available from the question:

Which of the following expressions is equivalent to 2x + 3?

Now, According to the question:

As we know that a -b = -b + a

also, a + b = b + a

Similarly,

2x + 3 = 3 + 2x

Hence, the expression that is equivalent to 2x + 3 = 3 + 2x

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Answer:

Step-by-step explanation:

Let the # of liters in both containers = y when equality is reached.

Container 1: loses 6 liters / hour

Container 2: loses 3 liters / hour

Equation

35 - 6x = 29 - 3x

Solution

35 - 6x = 29 - 3x                          Subtract 29 from both sides

35 - 29 - 6x = 29 - 29 - 3x          Combine

6 - 6x = - 3x                                  Add 6x to both sides

6 - 6x + 6x = - 3x + 6x                 Combine

6 = 3x                                           Divide both sides by 3

6/3 = 3x/3

2 = x

After 2 hours they should have the same amount of water.

35 - 6(2) = 35 - 12 = 23

29 - 3*2 = 29 - 6 = 23

Answer

After 2 hours have passed, both containers should have 23 Liters each.

Answer:

i think its a or d

Step-by-step explanation:

The value of the given expression cos(π/2 - sin⁻¹(1/2)) will be equal to 1/2.

The fundamental six functions of trigonometry have a range of numbers as their result and a boundary input value that is the angle of the right triangle.

As per the given information in the question,

cos(π/2 - sin⁻¹(1/2))

Use the formula given below,

cos(π/2 - θ) = sin θ

From the above formula,

sin(sin⁻¹ (1/2))

= 1/2

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Answer:

Step-by-step explanation:

14x=189 (x represents the number of days)

189 divided by 14 = 13.5

Answer or X: Approximately = 14 days

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.

The surface area of a cone is calculated using the following formula:

Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.

In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.

l² = 12² + 42²

l² = 1764

l = 42.01 meters

The surface area of the cone is then calculated as follows:

Surface area = πr² + πrl

Surface area = 3.14 * 12² + 3.14 * 12 * 42.01

Surface area = 1,670.5 square meters

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Answer:

72 bucks

Step-by-step explanation:

pints to quarts 6/2=3

quarts to money 3*24=72

To solve the system of equations:

5x + 2y = 24

2x + 5y = 24

We can use either elimination or substitution method.

Using elimination method:

Multiplying the first equation by 5 and the second equation by -2, we get:

25x + 10y = 120

-4x - 10y = -48

Adding the two equations together eliminates y:

21x = 72

Solving for x:

x = 72/21 = 8/3

Substituting x back into one of the original equations and solving for y:

5(8/3) + 2y = 24

2y = 24 - 40/3

2y = 12/3

y = 6/2 = 3

Therefore, the solution to the system of equations is:

x = 8/3

y = 3

Answer:

5 is the answer

Step-by-step explanation:

Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."

The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.

To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.

The complete question is:

Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”

Double-check that both of their variables are quantitative.

Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.

Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?

Your response:.........

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If λ is an eigenvalue of matrix A and x is the corresponding eigenvector, then for any positive integer m, λ^m is an eigenvalue of A^m, and x is the corresponding eigenvector of A^m.

Let λ be an eigenvalue of matrix A with eigenvector x. This means that Ax = λx. Now, consider the matrix A^m, where m is a positive integer. By multiplying both sides of the eigenvector equation by A^(m-1), we have A^(m-1)Ax = A^(m-1)(λx), which simplifies to A^mx = λA^(m-1)x.

Since A^mx = (A^m)x and A^(m-1)x = λ^(m-1)x, we can rewrite the equation as (A^m)x = λ^(m-1)(Ax). Using the initial eigenvector equation Ax = λx, we have (A^m)x = λ^(m-1)(λx), which further simplifies to (A^m)x = λ^m x.

Therefore, we have shown that if λ is an eigenvalue of A with eigenvector x, then for any positive integer m, λ^m is an eigenvalue of A^m with the same eigenvector x. This result demonstrates the relationship between eigenvalues and matrix powers, illustrating that raising the matrix to a power corresponds to raising the eigenvalue to the same power while keeping the eigenvector unchanged.

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Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

its c

Step-by-step explanation:

easy 23 simple mulitply then add

Quantities that are proportional to each other are,

A) radius and diameter of a circle

B) radius and circumference of a circle

C) radius and area of a circle

D) diameter and circumference of a circle

E) diameter and area of a circle​

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

We know the radius of a circle is r and the diameter of a circle is 2r.

We also know that the circumference of a circle is 2πr and the area of a circle is π(r)².

Now the quantities that will be related to each other are the quantities that are together linked in the formula of circumference and area.

∴ Radius and diameter of a circle, Radius, and circumference of a circle, Radius and area of a circle, Diameter and circumference of a circle, and Diameter and area of a circle​ all are related to each other and are directly proportional.

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Answer:

It is the first one

Step-by-step explanation:

Answer:

Step-by-step explanation:

it is the top 2

Answer:

76 is the answer :)

The expanded form of (2x² + 5y)⁵ using the binomial theorem is 32x¹⁰ + 400x⁸ y + 2000x⁶ y² + 5000x⁴ y³ + 6250x² y⁴ + 3125y⁵.

Given the expression in the question:

(2x² + 5y)⁵

To expand (2x² + 5y)⁵ using the binomial theorem, we need to apply the following formula:

(a + b)ⁿ = C(n, 0)aⁿ b⁰ + C(n, 1)a⁽ⁿ⁻¹⁾ b¹ + C(n, 2)a⁽ⁿ⁻²⁾ b² + ... + C(n, r)\(a^{(n-r)}\) \(b^r\) + ... + C(n, n)a⁰ bⁿ

Where C(n, r) is the binomial coefficient, which represents the number of ways to choose r items from a set of n distinct items.

(2x² + 5y)⁵

Here: a = 2x² and b = 5y, so we have:

Plug into the above formula

(2x² + 5y)⁵ = C(5, 0)(2x²)⁵ (5y)⁰ + C(5, 1)(2x²)⁴ (5y)¹ + C(5, 2)(2x²)³ (5y)² + C(5, 3)(2x²)² (5y)³ + C(5, 4)(2x²)¹ (5y)⁴ + C(5, 5)(2x²)⁰ (5y)⁵

Simplifying each term using the binomial coefficient formula C(n, r) = n! / (r! (n-r)!):

(2x² + 5y)⁵ = 1(32x¹⁰)1(1) + 5(16x⁸)1(5y)¹ + 10(8x⁶)2(25y²) + 10(4x⁴)3(125y³) + 5(2x²)4(625y⁴) + 1(1)5(3125y⁵)

Simplifying the coefficients and the exponents of x and y:

(2x² + 5y)⁵ = 32x¹⁰ + 400x⁸ y + 2000x⁶ y² + 5000x⁴ y³ + 6250x² y⁴ + 3125y⁵

Therefore, the expanded form is 32x¹⁰ + 400x⁸ y + 2000x⁶ y² + 5000x⁴ y³ + 6250x² y⁴ + 3125y⁵.

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The monthly installment that James will be repaid for 18 months at 12% per annum simple interest is R445.78.

The simple interest system does not charge interest on accumulated interest.

The simple interest formula is the product from the multiplication of the principal, the interest rate, and the period or PRT.

The cost of the gas grill = R7,800

Down payment or deposit = R1,000

Loan = R6,800 (R7,800 - R1,000)

Simple interest rate = 12%

Interest and installment period = 18 months

The total amount to be paid = R8,024 (R6,800 + (R6,800 x 12% x 18/12)

Monthly installments = R445.78 (R8,024/18)

Thus, James will pay installment of R445.78.

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The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.

How many types of solution are there for two linear equations ?

There are 2 types of solution :
Consistent :

A consistent system is said to be an independent system if it has a single solution.

A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.

Non-consistent :

Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.

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The two linear equations never intersect.

When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.

If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.

It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.

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The directional derivative is (-3/2√10) + (2 ln(2)/√10).

To compute the directional derivative of f(x,y) = y² ln(x) at the point (2,1) in the direction of the vector v = -3i + j, first find the gradient of f and then take the dot product with the unit vector in the direction of v.

The gradient of f(x, y) is given by (∂f/∂x, ∂f/∂y) = (y²/x, 2y ln(x)). At the point (2,1), this becomes (1/2, 2 ln(2)).

Next, find the unit vector of v by dividing v by its magnitude: u = v/||v|| = (-3, 1)/√((-3)² + 1²) = (-3, 1)/√10.

Now, take the dot product of the gradient and the unit vector: ((1/2, 2 ln(2)) · (-3/√10, 1/√10)) = (-3/2√10) + (2 ln(2)/√10).

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Answer:

its 5 dude...............

Answer:

It will take 1.29 minutes for Jamaal to write a full page.

Step-by-step explanation:

This question is asking us for the unit rate. So, we must divide the numerator by the denominator in 18/14.

18 ÷ 14 = 1.29

This means that it will take 1.29 minutes for Jamaal to write a full page.

Hope this helps! :)

The length of the rectangular painting can be determined by subtracting twice the width from the perimeter. In this case, since the width is given as 13 cm and the perimeter is 56 cm, we can calculate the length as 56 cm - 2 * 13 cm = 30 cm.

Let's assume the length of the rectangular painting is L cm. The formula for the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. In this case, we are given that the width is 13 cm and the perimeter is 56 cm. We can substitute these values into the formula to get 56 cm = 2L + 2 * 13 cm. Simplifying the equation, we have 56 cm = 2L + 26 cm. To find the length, we need to isolate L on one side of the equation. We can do this by subtracting 26 cm from both sides of the equation, resulting in 30 cm = 2L. Dividing both sides by 2, we get L = 15 cm. Therefore, the length of the rectangular painting is 15 cm.

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The given statement " if a random variable is discrete, it means that the random variable can only take non-negative integers as possible values." is False because it can also take negative integers.

A discrete random variable is a random variable that can only take on a countable number of distinct values, which may or may not be integers. These values can be positive, negative, or zero, and they do not have to be restricted to non-negative integers.

For example, the number of cars that pass through a certain intersection in an hour is a discrete random variable, which can take on any non-negative integer value. However, the number of children in a family is also a discrete random variable, which can take on any non-negative integer value, but it doesn't have to be an integer.

Conversely, a continuous random variable is a random variable that can take on any value in a specified range or interval, typically representing measurements such as time, distance, or weight. Examples of continuous random variables include the height of a person, the temperature of a room, and the amount of rainfall in a given area.

Therefore, whether a random variable is discrete or continuous does not necessarily imply anything about the range of values that it can take.

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