Factorize a²+ b²-c²-d² - 2ab-2cd​

An equation which describe the function g(x) after reflecting the graph of function f(x)=2|x| over the x-axis is: C. g(x) = −2|x|. g begin argument x end argument equals negative 2 begin absolute value x end absolute value.

In Geometry, a reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection across the x-axis is given by this transformation rule: (x, y)  →  (x, -y).

By applying a reflection across the x-axis to the function, we have;

f(x) = 2|x|

g(x) = -f(x)

g(x) = -(2|x|)

g(x) = -2|x|

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The inequality is represented by the equation

D. (2, 5) is the solution of the inequality

The given points are (0, 0.75) and (2, 4.75) these is used to calculated the slope

m = (y - y') / (x - x')

m = (4.75 - 0.75) / (2 - 0)

m = 4 / 2 = 2

using the point slope formula which is

(y - 4.75) = 2 (x - 2)

y - 4.75= 2x - 4

y = 2x + 0.75

y = 2x + 3/4

dashed straight line with positive slope goes and Everything to the left of the line is shaded means greater than >

y < 2x + (3/4)

Watching the graph the solution is D(2, 5) this point is in the shaded area

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s in the_set is the expression that whose value is true if the value that is referenced by s in the_set.

The right response to the question is assignment operator (=). Explanation: The = operator is used to assign a value to a variable, or we may say to hold the value of a variable. An assignment operator is referred to as the = operator.

A variable's name and storage space are assigned when a value is to be stored there. We saw that we could provide a variable both a string (text) and a numeric value. We also saw that we could give a variable a new value, replacing any previous ones, by reassigning it.

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The SI unit for density is kilogram per cubic meter (kg/m³)/

The density of liquid is 0.17 × 10⁸.

Kilogram Per Cubic Meter:

The SI unit for density is the kilogram per cubic meter (kg/m3). For many situations, however, this as an inconvenient unit, and we often use grams per cubic centimeter (g/cm3) for the densities of solids and liquids, and grams per liter (g/L) for gases.

According to the question:

Firstly, have to change your units to kilograms and cubic meters. Since there are a thousand grams in a kilogram,

                        170g = 1.70 x 10⁻¹ kg.

Since there are a thousand milliliters in a liter and a thousand liters in a cubic meter

               100ml = 1.00 x 10⁸ cubic meters

Therefore, Density= mass/volume

Density = 1.7 x 10⁻¹/ 1.00 x 10⁸ kg/m³

             = 0.17 x 10⁸ kg/m³.

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The evidence is not sufficient to support the claim since the p-value is 0.1833 higher than 0.05, so e) none of the preceding.

α = significance level = 0.05

n = sample size

df = degree of freedom = n - 1 = 10 - 1 = 9

Before we find the p-value, we use t test formula. But, before that we calculate mean and standard deviation for two population with excel.

In excel we get,

[tex]\bar x_1[/tex] = 231.8

[tex]\bar x_2[/tex] = 214.8

[tex]\sigma_1[/tex] = 41.95

[tex]\sigma_2[/tex] = 37.90

Next, we can calculate t test. So,

t = [tex]\frac{\bar x_1 -\bar x_2}{\sqrt{\frac{\sigma^2_1+\sigma^2_2}{n}}}[/tex]

= [tex]\frac{231.8-214.8}{\sqrt{\frac{41.95^2+37.9^2}{10}}}[/tex]

= [tex]\frac{17}{\sqrt\frac{3,196.2125}{10}}[/tex]

= 0.9509

Using t score to p-value calculator for 0.9509, we get p-value = 0.1833.

Thus, the p-value is 0.1833 is higher than significance level 0.05 so there is no sufficient evidence to support the claim.

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Answer:41/60

Step-by-step explanation:

3/5 and 4/7 can also be expressed as 21/30 and 20/30 respectively.

(7 and 5 have a common multiple of 30) if you multiply both of these by 2/2 (aka 1) then you get 42/60 and 40/60 respectively.

In between these 2 fractions is 41/60.

Answer:

i think it's 6,000

Step-by-step explanation:

just multiple 3.0 x 2,000 and you will get 6,000

The scale factor is 2 if the two triangles are similar to each other after applying the property of a similar triangle.

The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

It is given that:

Two triangles are shown in the picture

From the definition of the similar triangle.

Scale factor = 6/3 = 2

Thus, the scale factor is 2 if the two triangles are similar to each other after applying the property of a similar triangle.

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Answer:

$747.50

Step-by-step explanation:

Answer:

larysa got a larger drawing because 1 in 5 is bigger then 1 in 8 yards so that makes her area way larger

Answer:

y = 3 cos (π (0-3) + 2)

y = 3 cos (-2π + 2)

y = 3 cos (-2)

y = 3(-1)

y = -3

Answer:

480

Step-by-step explanation:

8 * 60 = 480

Answer:

width = 20 ft; length = 33 ft

Step-by-step explanation:

The formula for perimeter of a rectangle is P = 2l + 2w

Given that the length is seven less than twice its width, we have

[tex]l=2w-7[/tex]

We need to have only one variable or we can't solve.

Thus, we have:

[tex]106=2(2w-7)+2w\\106=4w-14+2w\\106=-14+6w\\120=6w\\20=w\\\\l=2w-7\\l=2(20)-7\\l=40-7\\\\l=33[/tex]

Answer:

Huh???

Step-by-step explanation:

THERE ARE NO GRAPHS!!!

The classification of the following triangles are below:

The types of triangle includes:

5. a = 180° - (56° + 84°)

= 180° - 140°

= 40°

6.

5s + (3s - 9) + 45 = 180

5s + 3s - 9 + 45 = 180

8s - 36 = 180

8s = 180 + 36

8s = 216

s = 216/8

s = 27

7. 180° - 139° = 41°

m < 1 = 180° - (41° + 83°)

= 180 - 124

m < 1 = 56°

180° - (68° + 52°)

= 180 - 120

= 60°

m < 1 = 180° - 60°

= 120°

Therefore, a triangle is a three sides polygon which also have three angles.

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Answer:

Step-by-step explanation:

1.Φ(u,v) gives the parametrization with its x, y, and z components. So, x=7u+4, y=u-v, and z=13u+v. We can use this to get the tangent vectors by taking the respective partial derivatives. Tu=<7, 1, 13> by taking the u derivatives of the components and Tv=<0, -1, 1> by taking the v derivatives of the components.

2. Taking the cross product of Tu and Tv will give the normal vector n(u,v), which is <14, -7, -7>

3. To find Area(S), you have to multiply the area of D by the magnitude of the normal vector from the previous step. D is the region defined by 0<=u<=5 and 0<=v<=6, so the area of D is 5*6=30. Multiply this by the magnitude of the normal vector to find that Area(S)=30sqrt(294)

4. To integrate, we first must put the initial function in terms of the parameters we found in the first step. Replace y with u-v and z with 13u+v. Next, multiply this integrand by the magnitude of the normal vector (sqrt294) and apply the given bounds for u (0<=u<=5) and v (0<=v<=6). From here the problem can be integrated like any other double integral, the final answer being 190sqrt(294)

The simplified form of the given expression is 6x³-9x²-22x-8

To simplify a mathematical expression is to represent it in the least complicated form possible.

Given an expression, (-2x-1)(-3x²+6x+8)

(-2x-1)(-3x²+6x+8) = 6x³-12x²-16x+3x²-6x-8

= 6x³-9x²-22x-8

Hence, The simplified form of the given expression is 6x³-9x²-22x-8

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A complex number is represented on a complex plane. The number [tex]z = 3-5i[/tex] is represented in a smilar manner as real numbers but y axis cosidered a imaginary axis.

What is a complex plane?

A complex plane is formed by complex numbers in a similar manner as the Cartesian coordinate system. But the x axis is made up of real numbers and y axis is made up of imaginary numbers.

A complex number is plotted on a complex plane. In the complex plane the x axis is known as the real axis and the y axis is known as the imaginary axis.

Consider the given complex number.

[tex]z = 3-5i[/tex]

Here, 3 is real number and -5 is imaginary number.

Since 3 is real number hence, move 3 steps in the right direction on x axis. Now, -5 is the imaginary number hence, move 5 steps in the downward direction parallel to the y axis.

The final position is [tex]z = 3-5i[/tex].  

Hence, a complex number is represented on a complex plane.

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Natalie should use Clustered Column Chart.

What is a Clustered Column Chart?
A clustered column chart is a vertical representation that shows data in groups (columns) that are connected to one another. Each column's data is separated into categories according to an attribute like year, age, sex, or race.For the purpose of comparing various variables, many bars are clustered in the same class in a clustered-column (bar) chart which is a specific kind of column (bar) chart. Hence, (B.) Clustered Column Chart is the correct option.

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3456

Step-by-step explanation:

2x2=4 3456 67867789990

(a) H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are fair.

(b) The expected count for each side of the dice is 13

(c) Yes, because the expected cell count is at least 5 for all cells.

Hypothesis :

In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.

Complete question:

You play a game of dice at the state fair, but suspect the dice may have been rigged. You observe the game owner rolling the dice 78 times and note the following results:

Face "1" "2" "3" "4" "5" "6"

Observed count 8 13 18 14 19 6

(a) Which hypotheses should be used to test if the dice are fair:

Identify H0:

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are unfair.

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 0, implying the dice are fair.

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are fair.

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 0, implying the dice are unfair.

Identify Ha:

-Ha: every p ≠ 1/6, implying the dice are unfair.

-Ha: at least one p≠ 1/6, implying the dice are unfair.

-Ha: every p ≠ 1/6, implying the dice are fair.

-Ha: at least one p ≠ 1/6, implying the dice are fair.

(b) What is the expected count for each side of the dice?

(c) Is the cell count condition met?

-No, because some cells have less than 10 observed counts.

-Yes, because the expected cell count is at least 5 for all cells.

-Yes, because the expected cell count is close to the observed cell count for all cells.

-No, because some cells have less than 30 observed counts.

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Answer:

The answer is 7

Step-by-step explanation:

Simplify would be 0.4x + 2.2

The area of the triangle is 3 units² which has a hypotenuse of 3 units and a side of 2 units.

A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon.

There are three sides and three angles in every triangle, some of which may be the same.

In the case of a right triangle, the three sides are given unique names: the hypotenuse, which is the side that faces the right angle, and the legs, which are the other two sides.

Every triangle is bicentric and convex.

The triangle's interior is the area of the plane it encloses; the outside is the rest of the plane.

So, the area of the triangle will be:

We know that the hypotenuse is 3 units.

The length of the other side is 2 units.

Area of triangle formula: 1/2 * base * height

Now, insert values in the formula and calculate:

1/2 * base * height

1/2 * 2 * 3

3 units²

Therefore, the area of the triangle is 3units² which has a hypotenuse of 3 units and a side of 2 units.

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The limits of the confidence interval are positive and don't include 0.

What is the confidence interval?

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specified confidence level; the 95% confidence level is most commonly used, but other levels, such as 90% or 99%, are occasionally used.

Yes, there is a significant difference between the 2 means.

Since both the limits of the confidence interval are positive and

doesn't include 0.

Hence, the limits of the confidence interval are positive and don't include 0.

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The percent of the wall does she paint will be;

⇒ 79%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The length of room wall = 8 feet

The width of room wall = 12 feet

The length of windows = 5 feet

The width of windows = 2 feet

Now,

The area of wall = 12 x 8 feet²

                         = 96 feet²

And, The area of windows = 5 x 2 feet²

                                         = 10 feet²

Hence, The area of paints a wall in her bedroom = 96 - 2 (10)

                                                                            = 96 - 20

                                                                            = 76 feet²

So, She paint the wall of area 76 feet².

Since, The area of whole wall = 96 feet²

But, There are two window.

So, The percent of only wall paint of are 76 feet² = 100 x 76 / 96

                                                                            = 79.16%

Thus, The percent of the wall does she paint to the nearest whole percent will be;

⇒ 79%

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