Evaluate each expression for x=-2,0,1 , and 4.
(1/2)x-8

There are above and beyond 371 Pythagorean Hypothesis confirmations, initially gathered and put into a book in 1927, which incorporates those by a 12-year-old Einstein (who utilizes the hypothesis twenty years after the fact for something about somewhat), Leonardo da Vinci and Leader of the US James A.

In science, the Pythagorean hypothesis, or Pythagoras' hypothesis, is a basic connection in Euclidean math among the three sides of a right triangle. It expresses that the region of the square whose side is the hypotenuse is equivalent to the amount of the region of the squares on the other different sides.

The Pythagorean equation be a² + b² = c²

a be the side of right triangle

b be the side of right triangle

c be the hypotenuse

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Answer:

Step-by-step explanation:

1). You would add the numbers inside of the parenthesis first this would give you (13.34) inside of the parenthesis.

2). You equation should look like 0.5(13.34)9 now then you would multiply the 0.5 to the number inside of the parenthesis and you will have (6.67)9 now.

3). Lastly you will multiply the 6.67 to the 9 and you will get 60.03 as your final answer.

Answer: 6

Step-by-step explanation: 2=24 4=48 6=72

The formula for the given cosine function is:

g(x) = 6cos(0.8(x - 0.75π)) - 8

Hence the coefficients are:

a = 6, b = 0.8, c = -0.75π, d = -8.

The cosine function is defined as follows:

g(x) = acos(bx+c)+d.

The coefficients have these following roles:

In this problem, we have that the maximum value is of -2 and the minimum value is of -14(difference of 12), hence the amplitude is given as follows:

2a = 12.

a = 6.

A standard cosine function with amplitude would vary the between -6 and 6, while this one varies between -14 and -2, hence the vertical shift is of d = -8.

The minimum and maximum values form half the period, hence:

[tex]\frac{2\pi}{B} = 2\pi - \frac{3\pi}{4}[/tex]

[tex]\frac{\pi}{B} = \frac{5\pi}{4}[/tex]

B = 4π/5

b = 0.8π.

The minimum value in the standard function is at x = 0, while at this function is at x = 3π/4, hence the phase shift is of 3π/4 = 0.75π units to the right, that is, c = -0.75π.

Hence the formula for the given cosine function is:

g(x) = 6cos(0.8(x - 0.75π)) - 8

The graph of the function is given at the end of the answer.

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Marco ran 4 plays for a total of 60 yards throughout the first half of the football season. Marco committed 6 penalties that cost his team 80 yards in the second half of the season. His total 160 yardage for his football season.

Given that,

Marco ran 4 plays for a total of 60 yards throughout the first half of the football season.

Marco committed 6 penalties that cost his team 80 yards in the second half of the season.

We have to calculate his total season yardage in football.

In the 1st half of the football season, Marco ran 4 plays for a total of 60 yards.

4[tex]\times[/tex]60=240

In the 2nd half of football season, Marco committed 6 penalties that cost his team 80 yards.

That is.

240-80=160

Therefore, his total 160 yardage for his football season.

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Byron agrega una cantidad de 17 / 80 kilogramos por cada pimentero. (Opción correcta: D)

En este problema debemos interpretar y emplear fracciones para encontrar una cantidad determinada, así como saber utilizar operaciones para obtener el resultado deseado y elegir la opción correcta entre las cuatro disponibles.

Byron tiene 17 / 10 kilogramos de pimienta negra y distribuye equitativamente siete octavas partes de esa pimienta en siete pimenteros. En consecuencia, la cantidad por pimentero es igual a siete octavas partes de la cantidad dispuesta por Byron y dividida a su vez por la cantidad de pimenteros:

x = [(7 / 8) × (17 / 10 kg)] / 7

x = (119 / 80 kg) / 7

x = 17 / 80 kg

Byron agrega una cantidad de 17 / 80 kilogramos por cada pimentero. (Opción correcta: D)

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The simpler form of given fraction 2/x -5 / 6/x - 3 is (2 - 5x)/(6 - 3x)

The correct answer is an option (A)

In this question,

we have been given a rational function  2/x -5 / 6/x - 3

We need to simplify given fraction.

2/x -5 / 6/x - 3

=  [(2/x) - 5] / [(6/x) - 3]

= [(2 - 5x) / x] / [(6 - 3x) / x]

= (2 - 5x) / (6 - 3x)

Therefore, the simpler form of given fraction 2/x -5 / 6/x - 3 is:                 (2 - 5x) / (6 - 3x)

The correct answer is an option (A)

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Answer:

|Least percentage = |32% - 5%| = 27%

Greatest percentage = |32% + 5%| = 37%

Step-by-step explanation:

|Percentage who favor ± error

Evaluating 5/12 a decimal gives 0.4166666666....≈ 0.4167

Given data

5/12 of her ELA class essay

5 / 12 is same as 12 dividing 5

this is done as follows

12 | 5

we form the decimal in the answer column then add 0 to 5 to get 50

12 | 50     0.

12 | 50     0.4            50 - (12 * 4 )= 50 - 48 = 2

12 | 2       0.4  

add 0 to 2 to get 20 and divide by 12

12 | 20       0.41        20 - ( 12 * 1 ) = 20 - 12 = 8

add 0 to 8 to get 80 and divide by 12

12 | 80        0.416       80 - ( 12 * 6 ) =80 - 72 = 8

add 0 to 8 to get 80 and divide by 12

12 | 80        0.4166      80 - ( 12 * 6 ) =80 - 72 = 8

The procedure is repeated to get 0.4166666666....≈ 0.4167

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Answer: b:180

Step-by-step explanation: since it 100% cant be A:90 or d:360 it could be c: 270 but after i looked up that angle, no not at all. so the only one that makes since is b:180

Per year price drop is -41.50$

The cost of an MP3 player in the year 2003 is = $ 499

The cost of an MP3 player in the year 2009 is = $ 249.99

The price drop per year will be –

We need to subtract the base year price from that of the current year price  and divide that by the difference between the base year and the current year

The year that serves as the standard against which subsequent values are measured is referred to as the base year.

The term "current year" refers to the fiscal year that has already begun but has not yet completed its cycle.

So,

(499-249.99) / (2003-2009)

249.01 / -6 = -41.50 $

Hence per year price drop is -41.50$

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Using the definition of slope, the points (-2 , 6), (0 , 2), and (1 , 0) are collinear.

Three or more points are said to be collinear if they lie on a single straight line.

To determine whether the given points are collinear, use the definition of slope. The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.

m = (y2 - y1)/(x2 - x1)

Getting the slope of each pair of points:

(-2 , 6) and (0 , 2)

m = (y2 - y1)/(x2 - x1)

m = (2 - 6)/(0 - -2)

m = -4/2

m = -2

(0 , 2), and (1 , 0)

m = (y2 - y1)/(x2 - x1)

m = (0 - 2)/(1 - 0)

m = -2/1

m = -2

(-2 , 6) and (1 , 0)

m = (y2 - y1)/(x2 - x1)

m = (0 - 6)/(1 - -2)

m = -6/3

m = -2

Since collinear points lies on the same line, the slope of any pair of points should be the same. Since the slopes of each pair of points is equal with each other, then they are collinear.

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Answer:

Cadence had gotten 7 refills.

Step-by-step explanation:

$14.25 + $1.25r = 23$

23 - 14.25 = 8.75

8.75/1.25 = 7

r = 7

The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ x² + 2x + 1

Factorize the expression, then the factor of the expression will be

⇒ x² + x +  x + 1

⇒ x(x + 1)x + 1(x + 1)

⇒ (x + 1)(x + 1)

⇒ (x + 1)²

The product of two binomials will be (x + 1) and (x + 1).

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The diver's elevation changes by 15 meters.

The diver is initially stopped at a height of 11 meters.

After that, he leaps, falling 11 meters, causing an initial elevation drop of 11 meters.

Finally, he descends to a depth of 4 meters, or 4 meters below the surface of the water, adding 4 more meters to the elevation change (11 + 4 = 15).

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

You may calculate the angle of elevation, for instance, by standing on the ground and looking up at the peak of a mountain. For instance, you can determine the angle of elevation by standing on the ground and gazing up at a mountain's peak.

Therefore, making the diver's elevation change 15 meters.

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Answer:

Slope-intercept form: y=3x-5

Step-by-step explanation:

The slope is 3 and the y-intercept is -5. We plug those in for m and b, respectively.

Answer: 6

Step-by-step explanation:

3x ÷ x = 3

27 ÷ 3 = 9

9 = x + 3
x = 6

I don't which one is the width so I just assume the smaller badge side x cm is the width

The x-value of the solution of x + y = 7 , 3x - 2y = 11, is equal to 5.

The given equations are linear equations in two variables since there are two unknown variables present in these equations.

Considering equation number one to be, x + y = 7

and equation number two to be, 3x - 2y = 11

By rearranging the first equation, the value of x can be considered to be:

x + y = 7

x = 7 - y

Adding this value of x in the second equation for the solution of y;

3 (7 - y) - 2y = 11

21 - 3y - 2y = 11

Rearranging,

21 - 11 = 3y + 2y

10 = 5y

y = 10 ÷ 5

y = 2

By adding this value of y to the first equation, the value of x can be found as follows,

x + y = 7

As y = 2

x + 2 = 7

x = 7 - 2

x = 5

Hence, the value of x is calculated to be 5.

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Hence , on factorization given equation 2x² + 5xy/3 - 2y² gives ( 2x + 3y)(3x -2y) .

We have given an equation 2x² + 5xy/3 - 2y² .

On simplification , we get

  2x² + 5xy/3 - 2y² = 0

 6x² + 5xy - 6y² = 0

By splitting in the middle term , we can write 5xy as ( 9 - 4 ) xy

6x² + (9xy - 4xy ) - 6y² = 0

( 6x² + 9xy ) - (4xy + 6y²) = 0

3x ( 2x + 3y) - 2y (2x + 3y ) = 0

( 2x + 3y)(3x -2y) = 0

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Answer:

His calories go down 50 calories every day. Hope it helps!

Step-by-step explanation:

Out of these equations and inequalities, -2/3 > -3/4 is the true statement.

Briefly, A mathematical statement is a sentence that is either true or false. It may include words and symbols. "The square root of 4 is 5" is an example of a mathematical statement (which is, of course, false).

We use language in mathematics in a very precise way that is sometimes slightly different from everyday use. We'll start by talking about some common disagreements.

In everyday language, we say "either A or B" to mean that one of the two options is correct but not both.

And therefore out of these equations and inequalities

-2/3 = -3/4

-2/3 > -3/4

-2/3 < -3/4

The true statement is -2/3 > -3/4

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Answer:

"The poison arrow frog... has enough toxicity in its skin that a dart rubbed on the surface can kill a small mammal.

Step-by-step explanation:

An ellipsis is a punctuation mark that indicates the interruption of thought and has great power of suggestion. They are also used, for example, in interrupting a character's speech.

The sentence which uses ellipsis correctly is: "The poison arrow frog ... has enough toxicity on its skin ... ".

As per the passage, which defines the ellipsis, that the poison arrow frog who resides in the tropical forest of the South America has enough toxicity on its skin that a dart rubbed across the surface of the body which can kill a small mammals.

The given passage is a missing punctuation marks which defines the ellipsis. In this the thoughts are in the interruption face as well as in the power of suggestion. In this, the suggestions are very important because it is killing the mammals which are resided at the surface.

What is ellipsis?

Ellipsis has number of dots in a sentences or a phrase which define the intention of a passage as well as author. It is also called as punctuation marks with three dots.

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a. the equation of the formula in terms of x is: x = (c - b)/a

b. x = 4 and x = 6

Where we have a, b, and c as constants of the equation, ax + b = c, and the variable is x, we can solve for the value of x as shown below:

ax + b = c

Subtract b from both sides

ax - b = c - b

ax = c - b

Divide both sides by a

ax/a = c/a - b/a

x = c/a - b/a

x = (c - b)/a

b. 3x + 7 = 19

a = 3, b = 7, and c = 19

Substitute a = 3, b = 7, and c = 19 into x = (c - b)/a

x = (19 - 7)/3

x = (12)/3

x = 4

x - 1 = 5

a = 1, b = -1, and c = 5

Substitute a = 1, b = -1, and c = 5 into x = (c - b)/a

x = (5 - (-1))/1

x = 6/1

x = 6

In summary, we have:

a. the equation of the formula in terms of x is: x = (c - b)/a

b. x = 4 and x = 6

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The exterior angle (∠ 5) is larger than either remote interior angle

( ∠ 7 and ∠ 8) then m ∠ 2 > m ∠ 8 and m ∠ 5 > m ∠ 8.

According to the exterior angle inequality theorem, the measure of any exterior angle of a triangle is greater than the measure of either of the opposite interior angles.

The adjacent interior angle and the exterior angle are supplementary. A triangle's exterior angles add up to 360º.

A triangle's exterior angle is always greater than its two remote interior angles.

By the Exterior Angle Inequality Theorem, the exterior angle (∠ 2) is larger than either remote interior angle (∠ 6 and ∠ 8).

Similarly, the exterior angle (∠ 5) is larger than either remote interior angle (∠ 7 and ∠ 8).

m ∠ 2 > m ∠ 8 and m ∠ 5 > m ∠ 8 .

Therefore, the correct answer is ∠ 2 and ∠ 5.

The complete question is:

Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated condition

Measures greater than m ∠ 8

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Answer:

It's C

Step-by-step explanation:

Trust me bro

The polygon is a regular hexagon.

Stella is using a compass and a straight edge to construct a polygon inscribed in a circle.

Also the circle is drawn with five arc markings that lie on the circle. Also there is an additional point marked on the circle.

So there are in total 6 points on the circle. Also the lines joining these five points will be equal. So we will get a regular hexagon through this construction.

The following is the process of construction.

First she starts at a point on the circle placing the compass there. Then she will measure the radius of the circle on compass. Fixing this distance, she will draw an arc on the circle. The process is repeated by placing the compass on the new point obtained on the circle.

So in total she will get the 6 vertexes of the regular hexagon. Joining the adjacent points, a regular hexagon is inscribed inside the circle.

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Answer: A regular hexagon