Draw a line representing the rise and representing the run of the line. State the slope of the line in simplest form.

Using the combination formula, it is found that:

The order in which the students are chosen is not important, as for example, João and Elisa is the same outcome as Elisa and João, hence the combination formula is used to solve this question;

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula, involving factorials.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

2 students are chosen from a set of 125, hence the number of combinations is:

[tex]C_{125,2} = \frac{125!}{2!123!} = 7750[/tex]

There are 7750 different ways for the winners to be chosen.

The first two students winning is only one outcome, hence:

The probability that the first two students who signed up will be the winners is 1/7750.

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The given equation;9(x+7)-6(x-3)=99 then the value of x in the given equation is 6.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

For a solution , it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point

WE need to Solve the given equation;

9(x+7)-6(x-3)=99 .

Open the bracket;

9(x+7)-6(x-3)=99

9x + 63 - 6x + 18 = 99

Collect the like terms then solve it;

9x + 63 - 6x + 18 = 99

9x  - 6x + 63+ 18 - 99 = 0

3x - 18 = 0

3x = 18

Divide by 3 on both sides the n we get;

x = 6

Therefore, the value of x in the given equation is 6.

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The amount Adriano earns this month is $1150.

The amount Adriano would receive would increase by the number of new subscribers and reduce by the number of subscribers who cancel.

Total amount Adriano earns this month = (number of subscribers x subscription fee) + (number of new subscribers x subscription fee) - (number of people who cancelled x subscription fee)

(200 x $5) + (40 x  $5) - (10 x $5)

$1000 + $200 - $50 = $1150

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Answer:

Hello,

answer C: 19.0ft (rounded to 1 digit)

Step-by-step explanation:

[tex]s=\dfrac{6+7+11}{2} =12\\\\A=\sqrt{12*6*5*1} =\sqrt{360}= 18,97366596...\approx{19.0}\ (ft^2)[/tex]

Answer:

19.0 ft^2.

Step-by-step explanation:

s = (6 + 7 + 11)/2

   = 12

--> A = √[12(12-6)(12-7)(12-11)]

        = √(12 * 6 * 5 * 1)

        = √360

        = 18.97

Answer:

Each person will owe $9.02

Step-by-step explanation:

Just divide 36.08 by 4

Answer:

$9.02

Step-by-step explanation:

36/4 = 9

8/4 = 2, so 0.08/4 = 0.02

36.08/4 = 9.02

Answer: c=26

Step-by-step explanation:

x= c

a^2 + b^2 = c^2

24^2 +10^2 = c^2

Take the square root of all the values

c=26

Answer:26

Step-by-step explanation:

pythagorean theorem

c=[tex]\sqrt{a^{2} +b^{2} }[/tex]

a=24,b=10

[tex]24^{2}[/tex]=576, [tex]10^{2}[/tex]=100

576+100=676

[tex]\sqrt{676}[/tex]=26

The person who have gained 11 lb. of pure fat will gain 5,500 cm³ of volume.

It is given in the question that the person gains 11 lb. of pure fat.

We have to find the volume (in cm3 ) gained by the person.

We know that,

The density of fat is about 0.9 grams/ml

Converting this in pounds, we get :-

0.9 grams/ml * 1 lb. / 454 grams * 1 ml / 1 cm³= 0.002 lb./cm³

We know the formula of density:-

Density = mass / volume

Hence,

Volume = mass / density

Volume = 11 / 0.002

Volume = 5,500 cm³.

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A radius is a segment with endpoints at the center and on the circle. Here, NC, ND, NE or NF is radius.

In classical geometry, a radius of a circle or sphere is any of the line segments connecting its center to its perimeter; in more modern usage, it is also their length. The term comes from the Latin word radius, which means both ray and spoke of a chariot wheel.

A circle's radius is the distance between its center and any point on its circumference. The letters 'R' or 'r' are commonly used to represent it. In almost all circle-related formulas, this number is significant. The radius of a circle is used to calculate its area and circumference.

A radius is a segment with ends at the circle's center and on the circumference. Radius can be NC, ND, NE, or NF in this case.

The complete question is:

Identify each

c. a radius

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Answer: Your answer is A one over 32

Answer: 1/64

Step-by-step explanation:You need to multiply 1/2 by the other 1/2 as well not just the exponents.

Answer: f(x)= 1/7 * x + 1/7

Step-by-step explanation:

f(x) = (x+1)/7

f(x) = x/7 + 1/7

f(x)= 1/7 * x + 1/7

Jonathan made $228 in these two days of working on Monday and Tuesday.

Fractions indicate pieces of a whole or group of objects. A fraction is divided into two pieces. The numerator is the number at the top of the line. It specifies how many equal pieces of the total or collection are taken. The number below the line is referred to as the denominator. It displays the total number of equal portions into which the whole is divided or the total number of the same objects in a collection.

Given that he makes $16 per hour

On Monday he made =  5 1/2 × 16

                                    = $88

On Tuesday he made = 8 3/4  × 16

                                     = $140

Total money he made = 140 + 88

                                     = $228

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Answer:

1%

Step-by-step explanation:

9.64-9.53 = 0.11
0.11/ 9.64 = 0.011 x 100 = 1.1% or  basically 1%

The equation of the given line y=1/2 x-2 in standard form is x - 2y - 4 = 0

Equation of a line in standard form can be expressed as:

Ax + By + C = 0

Where:

A and B are called coefficients.

x and y are called variables of degree 1 or linear variables.

C is called a constant.

In the above equation, the values of A, B, and C should be integers, not fractions or decimals. Furthermore, "A" needs to be a positive number.

The given equation is:

y = 1/2 x - 2

Notice that the coefficient of x is not an integer, therefore we need to multiply the equation by 2.

2y = 2 . (1/2)x  - 2 . 2

2y = x - 4

Subtract x from both sides
2y - x = x - 4 - x

-x + 2y = -4

Add 4 to both sides

-x + 2y + 4 = -4 + 4

-x + 2y + 4 = 0

Note that the coefficient of x is negative, hence, we need to multiply both sides by (-1).

x - 2y - 4 = 0

This is the standard form of the given line.

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The moving average forecast for period 13 = 44.55.

Calculate the moving average forecast for period 13 with n = 4. round your answers to 2 decimals.

The moving average technique averages a number of the most recent actual values in the data given for generating the forecast. When n=4, a four-period moving average is calculated by taking the average of 4 most recent actual values. Here we have to take the average of actual sales values of periods 9,10, 11, and 12.

Hence moving average forecast for period 13= (A9+A10+A11+A12)/4

 = (60+48+41.2+29.0)/4      

 = 44.55

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New location of a particle moves in a velocity field at time 6.01 is given by: (7.49, 2.11).

Think about the fluid flow's steady-state velocity vector field, or v. The instantaneous velocity of the fluid particles (atoms or molecules) as they pass through the point (x,y) is measured by the vector v(x,y).

The vector field used to quantitatively characterize the motion of a continuum in continuum mechanics is called the flow velocity in fluid dynamics, macroscopic velocity in statistical mechanics, or drift velocity in electromagnetism. The flow speed is a scalar and is represented by the length of the flow velocity vector.

It is also known as a velocity field, and a velocity profile is what it is known as when it is measured along a line.

Everything about a fluid's motion is efficiently described by its flow velocity.

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Answer:

2x^2

Step-by-step explanation:

x

Answer:

When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.

Step-by-step explanation:

I THINK IT HELPS YOU

Answer:

a - ( 3,0 )

b - ( 6,-3 )

c - ( 2, -3 )

Step-by-step explanation:

Hope this helps! I added 6 to the x and subtracted 4 from the y to translate it to the new position

The greatest length, in inches, that she can make from the two pieces of ribbon is 6 inches

Find the factors of 30 and 48

The greatest common factor of 30 and 48 is 6

Therefore,

Ribbon A can be cut into = 30 / 6

= 5 pieces

Ribbon B = 48/6

= 8 pieces

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The correct is option A which is definition of bisector

The term bisect refers to dividing into two equal parts. In mathematics, the term is used mostly in geometry, when a line intersects another line, say line A intersects line B, when the point of intersection is the mid point of line A. Then it can be said that line B is the bisector of line A. If the point of intersection is also the mid point of line B  then line A also is the bisector of line B. Bisector then refers to the line that bisects the other.

The terms bisect and bisector is not used for lines alone it can be used in many other circumstances for instance say angle. An angle may be bisected into two equal parts two. An example is angle 180 degrees can be bisected to get angle 90 degrees. Angle 90 degrees can be further bisected to give angle 45 degrees.

Hence we can say that line DF which is 96 is bisected by line EG to get two equal parts of 48 each, This means that line EG intersects line DF at the midpoint

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  The ratio between the height of the prisms is 7/3.

  Prisms are geometric bodies or solids that start from the extrusion of a plane figure, and that is the origin of their name, for example, if the base is square, the prism is quadangular.

  A numerical ratio is a constant value that relates a system of two or more variables, it allows us to know how their variations will be as the values change.

  Since prisms are said to be similar, then the ratio of their areas and heights must be proportional, expressed as:

a²/b² = 98/18

a²/b² = 49/9

a/b = 7/3

  The ratio between the height of the prisms is 7/3.

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Answer: -1000

Step-by-step explanation:

La "Gripe Española" de 1.918 acabó con 2.105 por ciento de la población mundial de su tiempo.

La "Gripe Española" fue una enfermedad respiratoria emparentada con los virus SARS-COV vistos en las últimas dos décadas que alimentó una pandemia que mató a decenas de millones de personas entre 1.918 y 1.920.

En esta pregunta debemos determinar el porcentaje de personas muertas con respecto a la población mundial de la época. Esto calcula al dividir el número de personas muertas por el número total de pobladores del mundo y multiplicar tal razón por 100.

La población aproximada del mundo en 1.920 fue de casi 1.900 millones de personas, entonces tenemos que el porcentaje de personas muertas es:

x = (40 000 000 / 1 900 000 000) × 100

x = 2.105 %

La "Gripe Española" de 1.918 acabó con 2.105 por ciento de la población mundial de su tiempo.

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4/7 x 35/28 x 70/30 x 12/5 is 4

The two are similar, because: in both AP and GP, we can find the mean value using first and last values.

The two are different because: in both AP and GP, different methods are used to find the mean value.

Now,

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Answer: JY=14

Step-by-step explanation:

JA=JY+YA
17=JY+3

17-3=JY+3-3

JY=17-3

JY=14

The slope of the line with points (-1/2 ,-1/2) and (-3,-4) is 1.4

A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.

The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.  

Therefore,

m =  y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.

Be aware that tan ∅ = y/x

We also refer to this tan as the line's slope

We know that slope, slope = m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

For the pairs of points (-1/2 ,-1/2) and (-3,-4)

⇒ m = [tex]\frac{-4- (-1/2)}{-3 - (-1/2)}[/tex]

⇒ m = [tex]\frac{-7/2}{-5/2 }[/tex]

⇒ m = 7/5

⇒ m = 1.4

Hence, the slope of the line with points (-1/2 ,-1/2) and (-3,-4) is 1.4

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