Factor the following polynomial with a negative coefficient. -5x^(6)+15x^(4)+20x^(3)

ZW = 5.656

Since XY ≅ XZ ≅ YZ, △XYZ is an equilateral triangle. This means △XYZ is also equiangular.

Find the measures of the following angles in degrees:

m∠WYZ = 60°

m∠YWZ = 60°

m∠YZW = 60°

Find WY:

WY = 8

Find ZW: Give your answer in both simplest radical form and as an approximation correct to two decimal places.

simplest radical form ZW = 4√2

approximation ZW = 5.656854249492381

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Answer:

x=0

Step by step explanation:

cos (a+b) = cos(a) cos(b) -sin (a) sin (b)

Same identity forms in question.

L.H.S -cos (x+60)

Now write it in the form of sin .

sin [90-(60+x)]

Equal to RHS

R.H.S - 30

90-(60+x)=30

30-x=30

x=0

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The answer to the equation cos195°cos285° is -1/4.

An equation is a mathematical statement that asserts the equality of two expressions. Equations are used to describe relationships between different quantities and can be used to solve for unknown values. Equations are typically written as symbols, but can also be written in words. Simple equations might involve addition, subtraction, multiplication, and division, while more complex equations may involve exponents, logarithms, and trigonometric functions. Equations can be used to model and understand real-world phenomena, such as calculating projectile motion, or predicting the behavior of a chemical reaction.

This is derived from the trigonometric identity cos{60°−x}cosx – sin(60°−x)sinx. This identity states that the cosine of the sum of two angles is equal to the product of the cosines of each angle minus the product of the sines of each angle.

By substituting the angles 195° and 285° into the identity, we get cos{60°−195°}cos195° – sin(60°−195°)sinx. When we use the values of the angles, we get cos{-135°}cos195° – sin(135°)sinx. We can then simplify this to -1/4cos195° – 0sinx. As the sine of the angle is 0, this simplifies to –1/4cos195°. As the cosine of 195° is -1/4, the answer to the equation cos195°cos285° is -1/4.

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The given function is (3x^(3)-2x^(2)+3)/(x-1). To express it in the form q(x)+(r(x))/(b(x)), we need to use polynomial long division.

First, divide the first term of the numerator, 3x^(3), by the first term of the denominator, x:

3x^(3)/x = 3x^(2)

Now, multiply this result by the denominator and subtract it from the numerator:

(3x^(3)-2x^(2)+3) - (3x^(2)(x-1)) = -2x^(2)+3x^(2)-3

Simplify:

x^(2)-3

Next, divide the first term of the new numerator, x^(2), by the first term of the denominator, x:

x^(2)/x = x

Multiply this result by the denominator and subtract it from the new numerator:

(x^(2)-3) - (x(x-1)) = -3+x

Simplify:

x-3

Since the degree of the new numerator is less than the degree of the denominator, we can stop here. The final result is:

q(x) = 3x^(2)+x

r(x) = x-3

b(x) = x-1

So, the function can be expressed as:

(3x^(3)-2x^(2)+3)/(x-1) = 3x^(2)+x + (x-3)/(x-1)

In HTML format, the answer would be:

<p>(3x^(3)-2x^(2)+3)/(x-1) = 3x^(2)+x + (x-3)/(x-1)</p>

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We can see here that the experimental probability that it will snow in March is:

Experimental probability is the probability that an event will occur based on actual experiments or observations.

It is calculated by performing an experiment or conducting observations, counting the number of times the event of interest occurs, and dividing that count by the total number of trials or observations.

Mathematically, the formula for the experimental probability is defined by:

Probability of an Event P(E) = Number of times an event occurs / Total number of trials.

Number of times it snowed = 2

Total number of trials = 5.

Thus, the experimental probability will be: 2/5.

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Answer:

35

Step-by-step explanation:

(7/20) *100=35

This is why because if 20 percent is equal to 7, so 40 % will be 14, 80% 28 and 100% will be 35

Answer: 35 dolls

Step-by-step explanation:

7/x and 20/100

20 times 5 is 100

and 7 times 5 is 35. Therefore 35 dolls are in Anita’s collection

By answering the above question, we may state that Shade the region to line the left of the open circle, since x is less than 4.

A line is a geometric object that is infinitely long and has no width, depth, or curvature. A line, which can also exist in two-, three-, and more-dimensional spaces, is therefore a one-dimensional object. A line is often used to refer to a line segment with two points as its endpoints. A line is a flat, one-dimensional object that may extend indefinitely in both directions and has no thickness. The terms "straight line" or "old correct line" are sometimes used to describe a line that has no "wobble" anywhere along its length.

plot the inequality 4x-22<-6 on a number line,

4x - 22 + 22 < -6 + 22

4x < 16

4x/4 < 16/4

x < 4

Plot an open circle at 4 on the number line to indicate that x is not included in the solution set.

Shade the region to the left of the open circle, since x is less than 4.

The resulting graph should look like this:

     ○----------------->

     |  |  |  |  |  |  |

   -∞  -5  -4  -3  -2  -1  0  1  2  3  4  5  6

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Answer:

-----------------------

As per table we see:

Since the difference of both variables is common, the function is linear.

The matching choice is C.

The true statement is 'The value 36 represents the initial water level before it began to recede.

First of all, understand the word problem,  

Given that The water level of a river recedes at a constant rate each day it implies the water level is decreasing at a constant rate. The expression 36 - 0.25x represents the water level after 'x' days.

Here we have

The expression 36 - 0.25x represents the water level after 'x' days

Let x = 0 which implies the water level is not begin to recede

Then the Initial water level = 36 - 0.25(0) = 36  

Hence, we can conclude that the initial water level is 36

Therefore,

The true statement is 'The value 36 represents the initial water level before it began to recede.

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The Complete Question is attached below

The solution set for the inequality 6x + 1 ≤ 4x + 1 is x ≤ -3/2 can be written in interval notation as (-∞, 0].

To solve the inequality 6x + 1 ≤ 4x + 1, we need to isolate the variable on one side of the inequality. Here are the steps to do so:

1. Subtract 4x from both sides of the inequality: 6x + 1 - 4x ≤ 4x + 1 - 4x
2. Simplify: 2x + 1 ≤ 1
3. Subtract 1 from both sides of the inequality: 2x + 1 - 1 ≤ 1 - 1
4. Simplify: 2x ≤ 0
5. Divide both sides of the inequality by 2: 2x/2 ≤ 0/2
6. Simplify: x ≤ 0

The solution set in interval notation is (-∞, 0]. This means that any value of x less than or equal to 0 will satisfy the inequality.

"

Prper question:

Solve the inequality. Write the solution set in interval notation.

6x + 1 ≤ 4x + 1

"

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Plotting the data and visually examining the connection between x and y equation is often the best method for identifying which equation best describes the line of best fit.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions.

Based on the above equations, y = x + 5 or y = x - 5 would be the most plausible contenders. Both of these equations have the typical slope for a linear connection, which is a straight line slope of 1.

While the y-intercept of the equation y = x + 15 has a significantly bigger value than would be predicted based on the other possibilities, the slope of the equation is 1. Similar to that, the slope of the equation y = 2x - 15 is 2.

Plotting the data and visually examining the connection between x and y is often the best method for identifying which equation best describes the line of best fit.

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Answer: 1, -2

Step-by-step explanation:

Answer:

(1,-2)

Step-by-step explanation:

x-4 you move it to the left 4 units and y-3 you move it down 3 units to get (1,-2)

The proportional equation for p in terms of s which matches the given context is p = 34s.

What is a proportional equation?

A proportional equation is written as y = kx. The equation's variables are the letters y and x. The proportionality constant, which never changes, is symbolised by the letter k.

We are given that a store buys 10 sweaters for $50 and sells them for $390.

Cost of one sweater = $50 / 10 = $5

Sale price of one sweater = $390 / 10 = $39

We know that total profit = Sale price - Cost price.

So, we get

p = 39s - 5s

p = 34s

Hence, the proportional equation for p in terms of s which matches the given context is p = 34s.

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The equation for the function shown in the given table is y = 4x + 2 OR 4x - y = -2. The graph of the equation is attached below

From the question, we are to determine the equation for the function

From the the given table,

When x = 0, y = 2

and when x = 1, y = 6

We can determine the equation for the function by using the formula,

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

From above

x₁ = 0

y₁ = 2

x₂ = 1

y₂ = 6

Thus,

(y - 2)/(x - 0) = (6 - 2)/(1 - 0)

(y - 2)/x = 4/1

1 × (y - 2) = 4 × x

y - 2 = 4x

y = 4x + 2

OR

4x - y = -2

Hence, the equation is y = 4x + 2

The graph of the equation is attached below

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The solution to the set of equations is (x, y) = (8, 17).

What is system of linear equations?

A system of linear equations is a set of two or more equations with two or more variables that are to be solved simultaneously. Each equation in the system is linear, meaning it can be written in the form of ax + by + cz + ... = d, where a, b, c, and d are constants and x, y, z, and other variables are unknowns.

The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system. The solution of a system of linear equations is a set of values for the variables that make all of the equations true.

There are different methods to solve systems of linear equations, such as substitution method, elimination method, and matrix method. These methods involve manipulating the equations in the system to isolate one variable, substitute its value into another equation, and eventually find the values of all the variables.

Systems of linear equations are used in many areas of mathematics, science, engineering, and economics to model real-world situations and solve practical problems.

To find the solution to the set of equations, we need to determine the values of x and y that satisfy both equations simultaneously. One way to do this is to use substitution or elimination methods.

However, the given answer choices do not seem to be the steps of a solution process. We need to use both equations to find a solution. Here is one possible way to do it:

Equation S: y = x + 9

Equation T: y = 2x + 1

Since both equations equal to y, we can set them equal to each other:

x + 9 = 2x + 1

Simplifying this equation, we get:

x = 8

Now that we know the value of x, we can substitute it into either Equation S or Equation T to find the value of y. Let's use Equation S:

y = x + 9

y = 8 + 9

y = 17

Therefore, the solution to the set of equations is (x, y) = (8, 17).

None of the given answer choices matches this solution process.

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The x-intercepts of R(x) are (-3,0), (1,0), and (-2,0), and the y-intercept is (0,-24).

To find the x-intercepts of R(x) = (2x+6)(x-1)(4-2)(x+2), we need to set R(x) equal to 0 and solve for x:
0 = (2x+6)(x-1)(4-2)(x+2)
This equation can be simplified to:
0 = (2x+6)(x-1)(2)(x+2)
We can use the zero product property to find the x-intercepts:
2x+6 = 0, x-1 = 0, 2 = 0, x+2 = 0
Solving for x, we get:
x = -3, x = 1, x = -2
So, the x-intercepts are (-3,0), (1,0), and (-2,0).
To find the y-intercepts, we need to set x equal to 0 and solve for R(x):
R(0) = (2(0)+6)(0-1)(4-2)(0+2)
R(0) = (6)(-1)(2)(2)
R(0) = -24
So, the y-intercept is (0,-24).

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Answer: 941.33 inches squared

Step-by-step explanation:

You will find the area of each shape separately, then add them together.

The area of a square is s²

26² = 676

Area of a semicircle is 1/2(πr²)

1/2((3.14)(13)²)

1/2((3.14)(169))

1/2(530.66)

265.33

676 + 265.33 = 941.33 inches squared

Hope this helps!

The linear function for the given values can be written as: f(x) = -x/2

The equation of a straight line is a relationship between x and y coordinates, The two point form of the equation of a straight line is:

y-y₁ = (y₂-y₁)/(x₂-x₁)*(x-x₁)

Given that,

f (-4)=2 and f (6)= -3

The linear function  = ?

we can consider input value as x and output value as y,

then the linear function can be estimated by using two point form of straight line.

y - 2 = (-3 - 2)/(6 - (-4))*(x - (-4))

y - 2 = -1/2 (x + 4)

y   =  - x/2 - 2 + 2

    =  - x/2

Hence, the linear function is f(x) = -x/2

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we have that

1) cot 70=x/12

Cot 70=[opposite side]/[adjacent side]=x/12

The option 1 is correct

2) cot 70=12/x

Cot 70=[opposite side]/[adjacent side]=x/12

The option 2 is not correct

3)sec 20=x/12

Sec 20 =1/cos20

Cos 20==[opposite side]/[hypotenuse]=12/z

1/(1/cos20)-------> 1/(12/z)------> z/12

The option 3 is not correct

4) sec 20=12/x

Sec 20 =1/cos20

Cos 20==[opposite side]/[hypotenuse]=12/z

1/(1/cos20)-------> 1/(12/z)------> z/12

The option 4 is not correct

the correct value is

1) cot 70=x/12

v=4 or v=-1.

The rational expression is undefined when the denominator is equal to 0. Therefore, we need to find the values of v that make the denominator 0.

v^(2)-3v-4=0

We can factor this equation to find the values of v:

(v-4)(v+1)=0

Therefore, the rational expression is undefined when v=4 or v=-1.

In conclusion, the rational expression (v^(2)+11)/(v^(2)-3v-4) is undefined when v=4 or v=-1.

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Answer: it is - 13

Step-by-step explanation: it is -13 because it either can be less or more

Check the picture below.

Answer: -sqrt(3)/4

Step-by-step explanation:

To solve this trigonometric expression, we can use the following trigonometric identities:

sin (180 + x) = -sin x

cos (180 + x) = -cos x

Using these identities, we can rewrite the expression as:

sin(200°)cos(80°) - cos(200°)sin(80°)

= sin(180° + 20°)cos(80°) - cos(180° + 20°)sin(80°)

= -sin(20°)cos(80°) + cos(20°)sin(80°)

= (cos(20°) - sin(20°))sin(80°)

= sin(70°)sin(80°)

= (cos(20°) - cos(150°))/2

= (-sqrt(3)/2 - sqrt(3)/2)/2

= -sqrt(3)/4

Therefore, sin(200°)cos(80°) - cos(200°)sin(80°) = -sqrt(3)/4.

Answer: 14 miles and the donors will both owe $35 for a total of $70

Step-by-step explanation:

The mother is giving $35 and the grandmother is 2.50 per mile and at the end they both end up owing the same amount

grandmothers 2.50 per miles

you walk 14 miles

you multiply 2.50 and 14 to get $35

The mother and the grandmother both owe $35

so take $35x2= 70

The domains amortized expense be after one year is $27.80, the correct option is C

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The expenditure of sami= $250

Now,

To calculate the amortized expense of the domain name, we need to divide the total cost by the number of years before it needs to be renewed or sold. In this case, Sami spent $250 and has nine years before renewal, so the annual amortized expense will be:

$250 / 9 = $27.78

Rounding this to the nearest cent

Therefore, by algebra the answer will be $27.78.

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Using the unitary method, we found that the equivalent amount of 750 US Dollars in Egyptian pounds is 1100 Egyptian pounds.

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit and then multiplying that value to determine the required value. Therefore, the goal of this method is to establish values in relation to a single unit. Always write the things that need to be calculated on the right side and the things that are known on the left side to simplify things. The unitary approach must be applied whenever we need to determine the ratio of one quantity to another.

Given,

 The amount of money  in US dollars = 750 US Dollars

The conversion to Egyptian pounds can be done using the unitary method.

1 usd = 18.48 Egyptian pounds

The unitary method can be used to convert single units to multiple units.

So,

750 usd = 750 * 18.48 = 1110 Egyptian pounds.

Therefore using the unitary method, we found that the equivalent amount of 750 US Dollars in Egyptian pounds is 1100 Egyptian pounds.

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A non-Abelian group is a group in which the order of the elements matters, meaning that the order that they are written in changes the outcome of the operation.

An automorphism is a transformation that preserves the group structure and is an isomorphism fromGto itself. SinceGis a non-Abelian group, its elements are not all the same, meaning that there is a difference between some elements.

This difference can then be used to generate an automorphism that is not the identity. For example, an automorphism in a groupGcould exchange two elements,g1andg2, and then evaluate the group operation on the exchange.

This automorphism does not leave the group unchanged, and therefore is not the identity. In conclusion, a non-Abelian groupGhas an automorphism that is not the identity because its elements are not all the same and can be exchanged to generate a new automorphism.

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25. The scale factor is 2.5

26. The congruent angles include

∠ E = ∠ J = 65 degrees

∠ F = ∠ K = 90 degrees

∠ G =  L = 90 degrees

∠ H = ∠ M = 115 degrees

25. The scale factor of JKLM and EFGH is calculated using corresponding sides

side EF * scale factor = side JK

8 * scale factor = 20

scale factor = 20 / 8

scale factor = 2.5

26. The congruent angles include

∠ E = ∠ J = 65 degrees

∠ F = ∠ K = 90 degrees

∠ G =  L = 90 degrees

∠ H = ∠ M = 360 - 90 - 90 - 65 = 115 degrees

27.  the ratios of the corresponding side lengths

JK / EF is proportional to KL / FG is proportional to LM / GH is proportional to MJ / EH

28. the values of x, y, and z

x = 2.5 * FG = 2.5 * 11 = 27.5

y = 30 / 2.5 = 12

z = 65 degrees

29. the perimeter of each polygon

the smaller polygon EFGH = 8 + 11 + 3 + 12 = 34

the bigger polygon JKLM = 20 + 27.5 + (3 * 2.5) + 30 = 85

30. the ratio of the perimeters of JKLM to EFGH

= 85 / 34 = 2.5

31. the area of each polygon

the smaller polygon EFGH = 0.5(3 + 8) * 11 = 60.5

the bigger polygon JKLM = 0.5(20 + 7.5) * 27.5 = 378.125

32. the ratio of the areas of JKLM to EFGH​

= 378.125 / 60.5 = 6.25

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The given equation is z = 1 + iβ/β + 2i. We need to determine the value(s) for β such that the equation holds true.

First, we can multiply both sides of the equation by β + 2i to get rid of the denominator:

z(β + 2i) = 1 + iβ

Next, we can distribute the z on the left-hand side of the equation:

zβ + 2iz = 1 + iβ

Now we can rearrange the equation to get all the β terms on one side:

zβ - iβ = 1 - 2iz

We can factor out the β on the left-hand side:

β(z - i) = 1 - 2iz

Finally, we can divide both sides of the equation by z - i to get the value of β:

β = (1 - 2iz)/(z - i)

This is the value of β that satisfies the given equation. None of the given options match this value, so the correct answer is "None of the given options."

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Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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