Un atleta corre 400 m hacia el Este y luego 500 m hacia el Oeste. Si el tiempo total de su recorrido fue de 4 minutos, considera la dirección hacia el Este como positiva, calcula su rapidez media en m/s.

Answer:

2/4

Step-by-step explanation:

Usually when you times a fraction by 2 (both the top and the bottom number are timed by the same number) you can get the closest fraction.

Answer:

It is a composite number

Step-by-step explanation:

The factors are: 1, 2, 4, 7, 8, 14, 28, 56

what is management business

Answer:

8x+3 --> x = 8/3
8/3 is about 2.66

Answer: 45 degrees

Step-by-step explanation:

1 clockwise rotation = 360 degrees

1/8 a clockwise rotation = 360/8 = 45 degrees

The values of G(x), At x = 0, 2, 4 are G(0) = 0, G(2) = 12 and G(4) = 12.

A function that is piecewise defined by numerous subfunctions, each of which has a separate domain interval for which it is applicable.

Piecewise definition is more of an expression of the function than it is a property of the function.

Given, A piecewise function G(x) defined by,

- 3x, x < 2 and 12, x ≥ 2.

Therefore, The value of G(x), At x = 0 is,

G(0) = - 3(0).

G(0) = 0.

At x = 2 the function G(x) is,

G(2) = 12.

At x = 4, the function G(x) is,

G(4) = 12.

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The two transformation that would map triangle ABC onto triangle A'B'C' include the following:

In Geometry, dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have TO apply a dilation to the coordinates of the preimage by using a scale factor of 1/2 centered at the origin as follows:

Ordered pair A (-2, 2) → Ordered pair A' (-2 × 1/2, 2 × 1/2) = Ordered pair A' (-1, 1).

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

Ordered pair C (-4, 4) → Ordered pair C' (-4 × 1/2, 4 × 1/2) = Ordered pair C' (-2, 2).

Furthermore, by applying a reflection over the y-axis to the coordinates of triangle A'B'C', the image coordinates include the following:

(x, y)                               →              (-x, y)

Ordered pair A' (-1, 1)    →    Ordered pair A'  (-(-1), 1) = (1, 1).

Ordered pair B' (-2, 1)    →    Ordered pair B' (-(-2), 1) = (2, 1).

Ordered pair C' (-2, 2)    →    Ordered pair C' (-(-2), 2) = (2, 2).

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Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. That would make this equation algebra.

Given data :

10(y-13) = 10(y+13)

y = 10*-13 = y = 10 * 13

-130 = 130

both sides will remain equal

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Answer: 10-1  (9)

Step-by-step explanation: start with parentheses then subtract

On solving the provided question, we can say that In the graph, x = PR' - PR  => x = 1= -8 => x = 2

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

In the graph,

x = PR' - PR

x = 1= -8

x = 2

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Answer:

Step-by-step explanation:

1.

[tex]\displaystyle\\\frac{1}{5}x+15=-5 \\\\\frac{1}{5}x+15-15=-5-15\\\\\frac{1}{5}x=-20[/tex]

Multiply both parts of the equation by 5:

[tex]x=-100[/tex]

2.

[tex]4-3x=5\\\\4-3x-4=5-4\\\\-3x=1[/tex]

Divide both parts of the equation by (-3):

[tex]\displaystyle\\x=-\frac{1}{3}[/tex]

3.

[tex](3x)^0+(8x+70)^0=180^0\\\\(3x)^0+(8x)^0+70^0=180^0\\\\(11x)^0+70^0-70^0=180^0-70^0\\\\(11x)^0=110^0[/tex]

Divide both parts of the equation by 11:

[tex]x=10[/tex]

[tex]m\angle TRS=(8(10)+70)^0\\\\m\angle TRS=(80+70)^0\\\\m\angle TRS=150^0[/tex]

4.

[tex]\$ 25(5)+\$250=\\\\\$125+\$250=\\\\\$375[/tex]

5.

[tex]\displaystyle\\\frac{x}{15}=\frac{30}{18}[/tex]

Multiply both parts of the equation by 15:

[tex]\displaystyle\\x=\frac{30(15)}{18} \\\\x=\frac{450}{18}\\\\x=25[/tex]

The value of q in the arithmetic sequence is 1/2

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k. Example: a1 = 25. a(n) = a(n-1) + 5.

The common difference of arithmetic sequence is found by subtract subtracting the first from the second term. This means

d = 2q+2 - q = q+2

the sum of term is a(n) = a +( n-1)d

for third term it will be a(3) = q+ (3-1) q+2

a(3) = q +2(q+2)

the third term = 5q+ 3

5q+3 = q+ 2q+4 = 3q+4

5q+3 = 3q+4

collect like terms

5q-3q = 4-3

2q = 1

q = 1/2

therefore the value of q = 1/2

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95% of the scores fall within (mean - 2 * standard deviation) and (mean + 2 * standard deviation)

The empirical rule (68-95-99.7% Rule) states that for a normal distribution, 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean

95% of the values are within two standard deviation from the mean = mean ± 2 * standard deviation = (mean - 2 * standard deviation, mean + 2 * standard deviation)

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The equation relating temperature and time is given by 3y = -10x + 130

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the temperature be represented as y

Let the time be represented as x

Now , let the first point be P = P ( 1 , 40 )

Let the second point be represented as Q = Q ( 7 , 20 )

The slope of the line between the points m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 40 - 20 ) / ( 1 - 7 )

On simplifying the equation , we get

Slope m = -20/6

Slope m = -10/3

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 40 = ( -10/3 ) ( x - 1 )

On simplifying the equation , we get

y - 40 = ( -10/3 )x + 10/3

Adding 40 on both sides of the equation , we get

y = ( -10/3 )x + 130/3

Multiply by 3 on both sides of the equation , we get

3y = -10x + 130

when x = 1 am

3y = -10 + 130

3y = 120

y = 40 degrees

when x = 7am

3y = -70 + 130

3y = 60

y = 20 degrees

Hence , equation representing temperature and time is 3y = -10x + 130

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A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.

To solve this, we would first need to see how many times 7 can fit into 24.

7 + 7 + 7 = 21.

We can see that is fits 3 times into 24, but what about the remaining 3? We can take that 3 and make it into a fraction of 7, making it [tex]\frac{3}{7}[/tex].

Now, putting the 3 and the 3/7 together, we get  [tex]3\frac{3}{7}[/tex].

The meaning of the y-intercept in this situation is that: A) When the cab travels 0 miles, the total fee will be $14.00.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

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

Where:

Next, we would determine the linear equation representing the line and passes through the points (2, 17) and (5, 21.5) by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 17 = (21.5 - 17)/(5 - 2)(x - 2)

y - 17 = 4.5/3(x - 2)

y - 17 = 1.5(x - 2)

y = 1.5x - 3 + 17

y = 1.5x + 14

Therefore, the y-intercept is equal to 14.

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The inverse function would be x = (y + 3) / -3 and the domain of the inverse function would be (-infinity, -1/3].

What is the inverse function?

An inverse function is a function that "undoes" another function. The inverse function, denoted as f^-1, reverses the direction of the original function, so that if the original function maps x to y, the inverse function maps y to x.

To find the inverse function of a given function, you can switch the x and y variables and solve for y. The inverse function will also have a different domain and range than the original function.

For example, for the function y = 1 - 3x, where x belongs to the interval [-2, 2],

First, we need to switch the x and y variables to get x = 1 - 3y.

Now we need to solve for y,

y = (x + 3) / -3

So the inverse function of y = 1 - 3x, where x belongs to the interval [-2, 2], is

x = (y + 3) / -3

The domain of the original function is [-2, 2] and the range is (-infinity, -1/3], whereas the domain of the inverse function is (-infinity, -1/3] and the range is [-2, 2].

Hence, The inverse function would be x = (y + 3) / -3 and the domain of the inverse function would be (-infinity, -1/3].

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Both relation (year, percent of men) and (year, percent of women) are functions.

What is a function?

A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Let A & B be any two non-empty sets; mapping from A to B will be a function only when every element in set A has one end, only one image in set B.

Now,

In given data

For every input (i.e. year) there is a unique output (i.e. percent of men/ percent of women)

Hence, Given relation (year, percent of men) and (year, percent of women) are functions.

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Answer:

0.36km/

Step-by-step explanation:

speed= distance/time

14.4km/40min

= 0.36km/min

Answer:

A is what I think is a independent variable

Step-by-step explanation:

Well a independent variable is something that stands alone and does not change by the other variables you are trying to measure. So for example b would not be since it relies on the number of cookies sold to figure out the total of money made.

Answer:

a=3c/2+5b/2

Step-by-step explanation:

First open parenthesis

5a-5b=3a+3c

Than subtract A's and add b and c's

2a=3c+5b

Divide by two

a=3c/2+5b/2

Answer:

5, -2

Step-by-step explanation:

Jeremy needs an amount of $7.75 cash to buy 3 comic books.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The function f(x) = 5.25x − 8 represents the amount of cash required to purchase x comic books after using his gift card.

To determine the amount of cash Jeremy needs to buy 3 comic books, we can substitute 3 for x in the function f(x) = 5.25x − 8.

So, f(3) = 5.25(3) − 8 = 15.75 − 8 = 7.75

Therefore, he needs $7.75 cash to buy 3 comic books.

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The question seems to be incomplete the correct question would be:

Jeremy has an $8 gift card to use to buy comic books. Each comic book costs $5.25. The function f(x) = 5.25x − 8 represents the amount of cash required to purchase x comic books after using his gift card. How much cash does Jeremy need to buy 3 comic books?

Answer:

Choice D

Step-by-step explanation:

x = cost of 1 bagel

y = cost of 1 muffin

3x + 4y = $5.67

5x + 3y = $6.70

Answer:

1. x = 10.46

2. y = 5.2

Step-by-step explanation:

1.

[tex]cos17^{0} =\frac{10}{x}[/tex]

[tex]x=\frac{10}{cos17^{0} }[/tex]

[tex]x=10.46[/tex]

2.

Angle F = 180 - 42 - 48 = 90° (is a right triangle)

[tex]sin48^{0} =\frac{y}{7}[/tex]

[tex]y=7sin48^{0}[/tex]

[tex]y=5.2[/tex]

Hope this helps

P(A or B) =

Formula: P(AUB)=P(A)+P(B)-P(A n B)

We roll six-sided die.

Then sample space ={1,2,3,4,5,6}

And

Event A: Roll an odd number.

Odd numbers are {1,3,5}

Event B: Roll a number less than 5

Number less than 5 are {1,2,3,4}

So, Probability P(A)=

Probability P(B)=

Now, the odd number which is less than 5 are {1,3}

So, P(A n B)=

Since P(AUB)=P(A)+P(B)-P(A n B)

Therefore, P(A or B) = 1/6

Step-by-step explanation:

Move the decimal point one place to the right