-w=16 what does -w equal?

Answer:

B

Step-by-step explanation:

D) - y = (x + 5)(x - 3)(x + 1).

Table in this case would look like this:

Write coefficients of x³, x² ,x and the constant in a row and divisor would be the x value obtained by equation x + 5 = 0.

The sequence of multiplications would be as shown in picture.

x² - 2x - 3

x² - 3x + x - 3

x(x - 3) + 1(x - 3)

(x + 1)(x - 3)(x + 5).

Answer:

In this solution the solvent is water and the solutes are sugar, artificial flavor and artificial color. Another interesting property of solutions is that different concentrations of solute can be made. As all of you are aware, you can make very sweet Kool Aid and less sweet Kool Aid.

Kool -Aid is a famous solution

So

Rest ingredients are solutes

The whole is the solution

Answer:

Step-by-step explanation:  It means a high level of quality, with 3.4 defects per million opportunities. It is this sigma level that leads to the term Six Sigma, which is a philosophy of delivering near perfect products or services by eliminating variabilities that lead to defects.

Answer:

The sets of values that correctly completes the t-chart are:

7, -1, 7

Hence, option B is true.

Step-by-step explanation:

Given the equation

y = 2x² - 1

FOR x = -2

substitute x = -2 in the equation

y = 2x² - 1

y = 2(-2)² - 1

y = 8 - 1

y = 7

FOR x = 0

substitute x = 0 in the equation

y = 2x² - 1

y = 2(0)² - 1

y = -1

FOR x = 2

substitute x = 2 in the equation

y = 2x² - 1

y = 2(2)² - 1

y = 8 - 1

y = 7

Thus, the t-chart becomes:

x              y

-2            7

0             -1

2              7

Thus, the sets of values that correctly completes the t-chart are:

7, -1, 7

Hence, option B is true.

Answer:

B.

Step-by-step explanation:

Answer:

Inferential statistic

Step-by-step explanation:

The art of making deductions or data driven predictions from statistical data refers to an aspect of statistics called Inferential statistics. Inferential statistics differs from descriptive statistics which is another aspect which focuses on presenting characteristics of data. Here, we make statistical deductions about the entire population from the results obtained about the sample statistic. In the scenario above, the statistic derived from the sample data will be used to make deductions about the general population of students who park in the university. Therefore, from the statistic obstaied from the sample, we infer about the population.

The  dimensions of the rectangle is 1mm x 0.5mm.

The area of a sector of a circle can be calculated using the formula A = (1/2)*r2*θ,  

 where r is the radius of the circle and

θ is the angle of the sector.

Therefore, the area of the sector given in the question is A = (1/2)*r²*1, where r = 1.

Since the rectangle has the same area as the sector,

the area of the rectangle can be calculated as A = l*w,

 where l is the length and

w is the width.

This equation can be rearranged to give l = A/w,

 where A = (1/2) and w is the width.

Substituting the values for A and w into the equation gives l = (1/2) / w.

Since the width of the rectangle is the same as the radius of the circle,

w = 1.

Therefore, the length of the rectangle is l = (1/2), which gives the dimensions of the rectangle as 1mm x 0.5mm, rounded to the nearest millimeter.

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The value of a/b is  \(\sqrt{6}\) / 2

The area of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.

Measurement of agricultural fields, floor areas required for purchase/selling transactions. Measurement of volumes required for packaging milk, liquids, solid edible food items. Measurements of surface areas required for estimation of painting houses, buildings, etc.

According to the question:-

Side of an equilateral triangle equals a/3.

Therefore, the equilateral triangle's area is equal to (1/2)(a/3)2 sqrt (3) / 2 = a2 [sqrt (3)/ 36].

Hexagonal side equals b / 6.

The area is thus 6 (1/2) (b/6)^2 sqrt (3) / 2 

= b^2 [ 3 sqrt (3) / 72] = b^2 [sqrt (3) / 24]

So

sqrt (3) / 36 a2 = sqrt (3) / 24 b2

So

A2 / B2 = [Sqrt(3)/24] / [Sqrt(3)/36]

a^2 / b^2 = [ 36 / 24 ]

a^2/ b^2 = 3/2

A/ B = Sqrt(3) / Sqrt(2)

=Sqrt(6) / 2

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Answer:

17² - 8² = 225

√225=15

Step-by-step explanation:

a = x

b = 8

c = 17

a² + b² = c²

b² = c² - a²

The required answer is  sec θ = -√2.

Explanation:-

Part 1: Given cosine of theta is equal to radical 3 over 2 on the domain [0,[infinity]).

To determine three possible angles θ,  the cosine inverse function which is a cos and since cosine function is positive in the first and second quadrant. Therefore  conclude that, cosine function of θ = radical 3 over 2 implies that θ could be 30 degrees or 330 degrees or 390 degrees. So, θ = {30, 330, 390}.Part 2:To convert 495° to radians, multiply by π/180°.495° * π/180° = 11π/4To find sec θ, we use the reciprocal of the cosine function which is sec.

Therefore, sec θ = 1/cos θ.To find cos 11π/4,  the reference angle, which is 3π/4. Cosine is negative in the third quadrant so the final result is sec θ = -√2.

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The percentage of the men in the sample who have blood type O is 40.38%.

What is the percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The acronyms pct., pct., and occasionally pc are also used to indicate it, however, the percent sign is most frequently used. A % is a number without dimensions and without a standard measurement.

Here, we have

Given: The contingency table below shows the blood types of a sample of people cross-classified by sex.

We have to find the percentage of the men in the sample who have blood type o.

Total number of males = 104

Number of males who has blood type O = 42

Percentage of the males in the sample have blood type O:

= (42×100%)/104

= 40.38%

Hence, the percentage of the men in the sample who have blood type O is 40.38%.

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Answer:

11.68 m^2

Step-by-step explanation:

area of triangle = 1/2(b)(h)

b = 7.3, h = 3.2

1/2(7.3)(3.2) = 11.68

Answer:

11.68m

firstly remember area of triangle is half multiplied by base multiplied by height

We need to consider the general problem: \[-(ku')' + cu' + bu = f\]If we discretize by the finite element method with four elements.

On the first and last elements, we use linear shape functions, and on the middle two elements, we use quadratic shape functions. The resulting basis functions are given by:The basis functions ϕ1 and ϕ4 are linear while ϕ2 and ϕ3 are quadratic in nature. These basis functions are such that they follow the property of linearity and quadratic nature on each of the elements.

For the structure of the stiffness matrix K, we need to consider the discrete problem given by \[KU=F\]where U is the vector of nodal values of u, K is the stiffness matrix and F is the load vector. Considering the above equation and assuming constant values of k and c on each of the element we can write\[k_{1}\begin{bmatrix}1 & -1\\-1 & 1\end{bmatrix}+k_{2}\begin{bmatrix}2 & -2 & 1\\-2 & 4 & -2\\1 & -2 & 2\end{bmatrix}+k_{3}\begin{bmatrix}2 & -1\\-1 & 1\end{bmatrix}\]Here, the subscripts denote the element number. As we can observe, the resulting stiffness matrix K is symmetric and has a banded structure.

The element [1 1] and [2 2] are common to two elements while all the other elements are present on a single element only. Hence, we have four elements with five degrees of freedom. Thus, the stiffness matrix will be a 5 x 5 matrix and the structure of K is as follows:

$$\begin{bmatrix}k_{1}+2k_{2}& -k_{2}& & &\\-k_{2}&k_{2}+2k_{3} & -k_{3} & & \\ & -k_{3} & k_{1}+2k_{2}&-k_{2}& \\ & &-k_{2}& k_{2}+2k_{3}&-k_{3}\\ & & & -k_{3} & k_{3}+k_{2}\end{bmatrix}$$Conclusion:In this question, we considered the general problem given by -(ku')' + cu' + bu = f. We discretized it by the finite element method with four elements. On the first and last elements, we used linear shape functions, and on the middle two elements, we used quadratic shape functions. We sketched the resulting basis functions. The structure of the stiffness matrix K was then determined by ignoring boundary conditions. We observed that it is symmetric and has a banded structure.

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Answer:

A, C, D

Step-by-step explanation:

I took the test lol :)

(A) The amount of change is different for the percent increase and the percent decrease.

(C) The ratio for the percent increase has a smaller denominator than the percent decrease.

(D) The ratio for the percent increase has a different numerator than the percent decrease.

Therefore, the correct options are as follows -

(A) The amount of change is different for the percent increase and the percent decrease.

(C) The ratio for the percent increase has a smaller denominator than the percent decrease.

(D) The ratio for the percent increase has a different numerator than the percent decrease.

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Answer:

-9 ≤y≤8

Step-by-step explanation:

The range is the output values or the y values for this graph

The minimum y value is  -9   and the maximum is 8

-9 ≤y≤8

Answer:

1 hour and 5 minutes

Step-by-step explanation:

55+5=60 (this takes you to 11:00 o'clock)

plus 1 hour is 12:00 or noon

Hope this helps! :)

Answer:

Acute Scalene Triangle

Step-by-step explanation:

This depends on the classification type. Because we are given both the angle measure and information on the sides, I am combining the angle and side classification.

1. In terms of angles, it's acute. All the angles are less than 90, so it makes it acute.

2. In terms of sides, it's scalene because it has no equal sides.

Wen will have the following:

From the information provided we will have that:

The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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Step-by-step explanation:

First, we need to substitute g(x) into f(x) wherever we see x in f(x):

f(g(x)) = -5(g(x)) - 5

Now, we need to substitute the expression for g(x) into the equation above:

f(g(x)) = -5(2x² - 4x - 12) - 5

Simplifying the expression inside the parentheses by distributing the -5:

f(g(x)) = -10x² + 20x + 60 - 5

Combining the constant terms:

f(g(x)) = -10x² + 20x + 55

So the final answer is:

f(g(x)) = -10x² + 20x + 55

Answer:

Step-by-step explanation:

Remark

You are going to use the Pythagorean Theorem. The trick is to find the length of the leg making up the base of the triangle.

That base is equal to the difference between the two bases.

Solution

The base of the triangle = 2x + 1 - (x + 3)      Remove the brackets.

base = 2x + 1 - x - 3

base = x - 2

Now the height of the trapezoid is also the second leg of the triangle. Apply the Pythagorean Theorem.

c^2 = a^2 + b^2

a = x - 2

b = x + 4

c = 2x

4x^2 = (x - 2)^2 + (x + 4)^2                              Expand the brackets

4x^2 = x^2 - 4x + 4 + x^2 + 8x + 16                Collect like terms

4x^2 = 2x^2 + 4x + 20                                    Subtract the right side from the left.

4x^2 - 2x^2 - 4x - 20 = 0

2x^2 - 4x - 20 = 0                                            Divide by 2

2x^2/2 - 4x/2 - 20/2 = 0              

x^2 - 2x - 10 = 0

x = - b +/- sqrt(b^2 - 4*a*c)/ 2a

a = 1

b = - 2

c = - 10

x = (- -2 + / - sqrt((-2)^2 - 4*(1)*(-10) ) / 2

x = (2 + / - sqrt(4 + 40 ))/2                      Only the plus root has any meaning.

x = ( 2 + sqrt(44 ) )/2

x = ( 2 + 2*sqrt(11) ) / 2

x = 1 + sqrt(11)

sqrt(11) = 3.3166

x = 1 + 3.3166

x = 4.3166

the answer is 8^(-3)

This is a prospective cohort study.

The point of intersection of the two lines is (x, y) = (- 45 / 37, - 250 / 37).

Vectorially speaking, a line is represented by the following parametric expression:

(x, y) = (a, b) + t · (c - a, d - b)        (1)

Where:

Two points intercept each other when they share the same point (x, y). Then,

(- 2, 5) + t₁ · (1, - 15) = (5, 15) + t₂ · (- 2, - 7)

t₁ · (1, - 15) - t₂ · (- 2, - 7) = (7, 10)

t₁ · (1, - 15) + t₂ · (2, 7) = (7, 10)

Which is equivalent to the following system of linear equations:

t₁ + 2 · t₂ = 7

- 15 · t₁ + 7 · t₂ = 10

Then, the solution of the system is (t₁, t₂) = (29 / 37, 115 / 37) and the point of intersection is:

(x, y) = (- 2, 5) + (29 / 37) · (1, - 15)

(x, y) = (- 45 / 37, - 250 / 37)

The point of intersection of the two lines is (x, y) = (- 45 / 37, - 250 / 37).

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The given function \(q(x) = \frac{x^2}{2} - 3\) is a shifted and compressed version of the basic function \(f(x) = x^2\), where \(f(x)\) represents a parabola with a horizontal compression and a vertical shift downwards by 3 units.

To determine the more basic function that has been shifted, reflected, stretched, or compressed, we can compare the given function \( q(x) \) to the general form of a basic function. The general form of a basic function is \( f(x) = ax^n \), where \( a \) and \( n \) are constants.

Comparing the given function \( q(x) \) to the general form \( f(x) = ax^n \), we can see that \( q(x) \) is a shifted and compressed version of \( f(x) \). The basic function that has been shifted, reflected, stretched, or compressed is \( f(x) = x^2 \).

Here's how we can determine this:

1. The power of \( x \) in \( q(x) \) is 2, which matches the power in the basic function \( f(x) = x^2 \).

2. The coefficient of \( x^2 \) in \( q(x) \) is 1/2, which means the function has been compressed horizontally.

3. The constant term (-3) in \( q(x) \) represents a vertical shift downwards by 3 units.

Therefore, the basic function that has been shifted, reflected, stretched, or compressed is \( f(x) = x^2 \).

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Correlation coefficients examine the relationship between variables.

They help in determining the strength and direction of the association between two continuous variables, making it easier to understand and interpret their connection.

Correlation coefficients are statistical measures used to examine the relationship between two or more variables. The correlation coefficient quantifies the degree to which the variables are related or associated with each other.

A positive correlation coefficient indicates that when one variable increases, the other variable also tends to increase, while a negative correlation coefficient indicates that when one variable increases, the other variable tends to decrease.

A correlation coefficient of zero indicates no relationship between the variables.

Correlation coefficients are often used in research studies to examine the strength and direction of the relationship between two variables.

For example, in a study examining the relationship between exercise and weight loss, a correlation coefficient could be calculated to determine how strongly exercise and weight loss are related.

It is important to note that correlation does not imply causation, and a strong correlation between two variables does not necessarily mean that one variable causes the other.

Correlation coefficients are simply used to describe the relationship between two variables and to identify patterns in the data.

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Answer:

Vertical angles.

Step-by-step explanation:

Answer:

f(-3)=10

Explanation:

Given the function:

When x = -3

the customer saved 45% on the price of the radio compared to the original price.

25%

The original price of the radio = 100%

The 20% discount = 100%-20% = 80%

The 25% discount = 80%-25% = 55%

Overall percentage reduction = 100%-55% = 45%.

The original price of the radio was 100%. On the final day, the ale was discounted by 25%, which reduced the price to 80%. This was then further discounted by 20%, bringing the price to 55%. Therefore, the overall percentage reduction on the price of the radio was 45%. This means that the customer saved 45% on the price of the radio compared to the original price.

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The equation for the line that contains the point (5,-3)and is parallel to the line y = 4x +2 is obtained using the point-slope form of the line as y=4x-23.

Use the point's coordinates for (a, b) in the point-slope form to get a line that passes through the point and is parallel to a line: y - b= m (x -a). Simply enter the slope of the previous line for m.

A point (5,-3) and a line y = 4x +2 are given.

Find the slope of the given equation of the line.

On comparison of the given equation of the line with the standard equation of the line, y=mx+c

m=4

Plug the given point and the slope in the point-slope form of the line.

y-(-3)=4(x -5)

y+3=4x-20

y=4x-23

So, the required equation of the line is y=4x-23

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