12-(8+1)^2
explain please

Answer:

19.0% (1dp)

Step-by-step explanation:

$625-$525=$100

$100/$525=4/21×100=19.0% (1dp)

The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

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The final temperature of the water is 0°C. The amount of energy required to bring the total amount of water to boil at 80°C is calculated using the formula Q = mcΔT, where Q is the heat energy, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature. The pressure used in this process is determined by the boiling point of water at the given temperature.

In this problem, we have two substances: ice and water. The ice is at a temperature of -4°C, while the water is at a temperature of 50°C. When these two substances are mixed, heat will flow from the water to the ice until thermal equilibrium is reached. Since the resultant water is saturated, it means that it is at the boiling point, which is 100°C at atmospheric pressure.

To find the final temperature of the water, we need to calculate the amount of heat transferred from the water to the ice. We can use the equation Q = mcΔT, where Q is the heat energy, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature. Since the final temperature of the water is 100°C, the change in temperature is 100°C - 50°C = 50°C.

We know the mass of the water is 80 kg, and the specific heat capacity of water is approximately 4.186 J/g°C. Converting the mass of water to grams, we have 80,000 grams. Plugging these values into the equation, we get Q = (80,000 g)(4.186 J/g°C)(50°C) = 16,744,000 J.

Therefore, the amount of energy required to bring the total amount of water to boil at 80°C is 16,744,000 J.

The pressure used in this process is determined by the boiling point of water at the given temperature. At sea level, the boiling point of water is 100°C. Therefore, the pressure used in this process is atmospheric pressure.

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The solution of the differential equation with the given initial conditions is: \(y = (1/2)e^(2x) + (1/2)e^(-2x) - 2x².\)

Given differential equation is y" - 4y = 8x²,

Let \(y = Ay + Bx² + C\) be a particular solution, then differentiating, we get:

\(y' = Ay' + 2Bxy + C .....(1)\)

Again, differentiating the equation above, we get: \(y'' = Ay'' + 2By' + 2Bx.....(2)\)

Putting the equations (1) and (2) into y" - 4y = 8x², we get:

\(Ay'' + 2By' + 2Bx - 4Ay - 4Bx² - 4C = 8x².\)

Comparing the coefficients of x², x, and constant term, we get:-4B = 8, -4A = 0 and -4C = 0. Hence, B = -2, A = 0 and C = 0.

Thus, the particular solution to the given differential equation is:

\(y = Bx² \\= -2x².\)

Next, the complementary function is given by:y" - 4y = 0, which gives the characteristic equation:

\(r² - 4 = 0, \\r = ±2.\)

Therefore, the complementary function is given by:\(y_c = c₁e^(2x) + c₂e^(-2x).\)

Applying initial conditions:y(0) = 1y'(0) = 0

So, the general solution of the given differential equation:\(y = y_c + y_p \\= c₁e^(2x) + c₂e^(-2x) - 2x².\)

Using the initial condition y(0) = 1, we get

\(c₁ + c₂ - 0 = 1, \\c₁ + c₂ = 1.\)

Using the initial condition y'(0) = 0, we get

\(2c₁ - 2c₂ - 0 = 0, \\2c₁ = 2c₂, \\c₁ = c₂\).

Substituting c₁ = c₂ in the equation \(c₁ + c₂ = 1\), we get \(2c₁ = 1, c₁ = 1/2.\)

Hence, the solution of the differential equation with the given initial conditions is :\(y = (1/2)e^(2x) + (1/2)e^(-2x) - 2x².\)

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Answer:

8.2

Step-by-step explanation:

-7.2 to -7.2 is 0

-9.3 to -1.1 is 8.2

Pythagorean theorem is a^2+b^2=c^2

0^2=0

8.2^2=67.24

0+67.24=0

√67.24=8.2

The distance between the to points is 8.2

Answer:

6x-6x56 =-2016

Step-by-step explanation:

You have to subtract, then multiply by 56 to get -2016, as it shows a negative.

The optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.

To solve this linear programming problem using the Simplex method, we first need to convert it into standard form by introducing slack variables.

Our problem can be rewritten as follows:

Minimize w = 9x1 + 6x2

Subject to:

x1 + 2x2 + x3 = 5

2x1 + 2x2 + x4 = 8

x1 + 2x2 + 2x3 = 6

where x1, x2, x3, and x4 are all non-negative variables.

Next, we set up the initial simplex tableau:

Basic Variables x1 x2 x3 x4 RHS

x3 1 2 1 0 5

x4 2 2 0 1 8

x5 1 2 2 0 6

z -9 -6 0 0 0

The last row represents the coefficients of the objective function. The negative values in the z-row indicate that we are minimizing the objective function.

To find the pivot column, we look for the most negative coefficient in the z-row. In this case, the most negative coefficient is -9, which corresponds to x1. Therefore, x1 is our entering variable.

To find the pivot row, we calculate the ratios of the RHS values to the coefficients of the entering variable in each row. The smallest positive ratio corresponds to the pivot row. In this case, the ratios are:

Row 1: 5/1 = 5

Row 2: 8/2 = 4

Row 3: 6/1 = 6

The smallest positive ratio is 4, which corresponds to row 2. Therefore, x4 is our exiting variable.

To perform the pivot operation, we divide row 2 by 2 to make the coefficient of x1 equal to 1:

Basic Variables x1 x2 x3 x4 RHS

x3 0 1 1 -1 1

x1 1 1 0 1/2 4

x5 0 1 2 -1 2

z 0 -3 9 9/2 -18

We repeat the process until all coefficients in the z-row are non-negative. In this case, we can stop here because all coefficients in the z-row are non-negative.

Therefore, the optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.

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In multiple regression analysis, the correlation among the independent variables is termed multicollinearity

Multicollinearity in a multivariate regression model refers to the correlations between two or more independent variables. Multicollinearity can lead to skewed or false results when a researcher or analyst attempts to determine how effectively each independent variable can be used to predict or understand the dependent variable in a specific statistical model.

It is the term which is generally used to describe the situation in which two or more explanatory variables in a multiple regression model have strong linear correlations with one another but not with the dependent variable. Many times, the creation of new dependent variables that are reliant on other variables can also result in multicollinearity.

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Answer:

Answers are below

Step-by-step explanation:

12) No because the scale factor is not the same between the two rectangles

13) Yes. TUV is congruent to XYZ. The scale factor is 3/4.

14) Yes. I used SAS to see whether or not the triangles were similar. PQR is congruent to UVW.

15) Yes. I used 14) Yes. I used SAS to see whether or not the triangles were similar. DGH is congruent to FEH.

You didn't include the equations.

Answer:

b.

give me a brainlist

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

6.5x + 1.4y = 59

If y = 5, then plug in 5 for y

6.5x + 1.4(5) = 59

Isolate variable (x)

6.5x + 7 = 59

6.5x = 59 - 7

6.5x = 52

x = 52 ÷ 6.5

x = 8

Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

The simplified result is (-x + 4)/(x^(2) - 16).

To add the given expressions, we need to combine the like terms in the numerator and keep the denominator the same since they are already common denominators.

The combined expression will look like this:

(7x + 10 - 8x - 6)/(x^(2) - 16)

Now we need to simplify the numerator by combining the like terms:

(-x + 4)/(x^(2) - 16)

This is the simplified expression. We cannot simplify it any further since there are no common factors between the numerator and denominator.

Therefore, the answer to the given question is (-x + 4)/(x^(2) - 16).

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The angle measures of the triangles before and after dilation are the same

Given that, we have a triangle that is dilated to form another triangle by a scale factor of n

The dilation transformation is a rigid transformation

This means that it changes the size of a shape after it is applied

However, the shape and the image would be similar shapes and as such would have their angles unchanged

This means that irrespective of the value of the scale factor n, the angle measures would remain the same

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In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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The range of this function can be represented using the interval [-1,1]. However, if we have a function h(x) = x^3, we know that the output values can take on any real number, so the range of this function can be represented using the interval (-∞, ∞).

Interval notation is a shorthand way of representing a range of numbers using brackets and parentheses. For example, the interval [0,1] represents all real numbers between 0 and 1, including 0 and 1 themselves. The interval (0,1) represents all real numbers between 0 and 1, excluding 0 and 1 themselves.

To represent the domain of a function using interval notation, we consider the set of all input values for which the function is defined. For example, if we have a function f(x) = x^2, we know that this function is defined for all real numbers. Therefore, the domain of this function can be represented using the interval (-∞, ∞).

To represent the range of a function using interval notation, we consider the set of all output values that the function can take. This can be a bit trickier, as some functions may take on a continuous range of values, while others may only take on a finite set of values. For example, if we have a function g(x) = sin(x), we know that the output values will always be between -1 and 1. Therefore, the range of this function can be represented using the interval [-1,1]. However, if we have a function h(x) = x^3, we know that the output values can take on any real number, so the range of this function can be represented using the interval (-∞,∞).

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Complete Question:

Fill in the blanks. (Enter the range in interval notation.) Function Alternative Notation Domain Range y = y = cos-1 x -1 < x< 1

The number of combination 6-letter words using five vowels in alphabetical order,

5*4*3*2*1*21=2520

Permutation and combination are methods for representing a collection of objects by selecting them from a set and forming subsets. It specifies the various ways to arrange a specific set of data. Permutations are when we select data or objects from a specific group, whereas combinations are the order in which they are represented.

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations. Combination refers to the combination of n things taken k at a time without repetition. To refer to combinations in which repetition is allowed, the terms k-selection or k-combination with repetition are often used.

We have five vowels: a, i, e,0, and u.

make the 6-letter word using five vowels in alphabetical order,

5*4*3*2*1*21=2520

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Answer:

12/18 bcz simplyfing 12/18 will give us 2/3

6/9 (divided by 2)

2/3 (divided by 3)

Step-by-step explanation:

Answer:

Area ≈ 314.16 square inches

Step-by-step explanation:

Radius of circle (r) = ½(20) = 10 in.

Formula for area of circle, A = πr²

Plug in the value into the formula

Area = π × 10²

Area = π × 100

Area = 314.159265

Area = 314.16 in.² (nearest hundredth)

https://brainly.com/question/4316749The symbol used to represent the square root of a non-negative number is √ and is called the radical symbol or sign or root symbol and the non-negative square root is called the principal square root.

Every positive real number has two square roots, positive and negative.

For this reason, we use the square root symbol √ to represent the dominant (non-negative) square root. Negative sign before radical −√ for negative square root.

Every nonnegative real number a has a unique nonnegative square root called the principal square root, denoted by √ in which √ is called the root symbol.

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Answer:

31 calls

Step-by-step explanation:

This method of information dissemination forms a tree diagram with a common factor of 2 for each next day.

On Monday, Lori made a call.

By noon on Tuesday (the next day), two calls were made by the initial member.

By noon on Wednesday, four calls would be made by the two members.

By noon on Thursday, eight calls would be made.

By noon on Friday, sixteen calls would be made.

Therefore,

total calls made by Friday afternoon = 1 + 2 + 4 + 8 + 16

                                           = 31

Answer:

30 units

Step-by-step explanation:

point D is the midpoint of the bottom line, and we can infer 2 similar triangles from the markings on the triangle,

15  × 2  =ab

as CD is in the middle of the large triangle, the scale factor from the small triangle to the large triangle is 2.

Step-by-step explanation:

hlejsjsisjdjsisjsjsjsjsjsisjsnsjssjjsjsjs as

Answer:

I think it is complement. Not so sure so sorry If i get it wrong I haven't done this in 2 or 3 years

Step-by-step explanation:

Answer:

A possible solution is she should by 6 bags of popcorn and 10 drinks

Step-by-step explanation:

The price of each bag of popcorn = $7.50

The price of each drink = $4.50

The amount Sarah has to spend = $90

The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks

Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y

Therefore, we have;

x + y ≥ 16.....(1)

x × 7.5 + y × 4.5  ≤ 90

Which gives;

7.5·x + 4.5·y ≤ 90....(2)

Rewriting the inequalities as a function of y, gives;

From inequality (1), x + y ≥ 16, we have;

y = ≥ 16 - x

From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;

7.5·x + 4.5·y ≤ 90

4.5·y ≤ 90 - 7.5·x

y ≤ 90/4.5 - 7.5/4.5·x

y ≤ 20 - 5/3·x

Please find attached, the plot of the inequalities

A possible solution is given as the value of x = 6, where y = 10

Therefore, she should by 6 bags of popcorn and 10 drinks.

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

The equals sign (=) must appear in an equation. You can think of an equation as having a left and a right side since there will be a mathematical expression on either side of it. Consider an equation to be a set of scales. Although you can use different amounts on either side, for it to be solved, each side must be equally balanced .An unknown will always be present in an algebraic equation. This is symbolized by a symbol, such x, y, or z.

Here,

We must calculate the product of 3x(\(x^{2}\) + 4).

In light of the query

Follow all of the instructions listed below to obtain the equation's product.

Equation; 3x(\(x^{2}\) + 4).

Then,

The product of the equation is,

=>3x(\(x^{2}\) + 4).

=>3\(x^{3}\) + 12x

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

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The concept of factoring quadratic equations simply is one of the ways to solve for the zeroes of the quadratic equation.

The concept of factoring quadratics is a technique which is characterized by expressing the quadratic equation ax2 + bx + c = 0 as a product of its associated linear factors as (x - f)(x - g), in which case, f and g are the roots of the quadratic equation ax2 + bx + c = 0.

Factoring is an important concept that helps express equations of any type in simpler forms The mode of operation of the factoring works such that, the polynomial is rewritten in a simpler form and consequently, expressed as a product of it's linear factors.

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