if you could fly and every hour u loose 30 feathers in 14 days how many feathers did you loose?

Answer: 15

Step-by-step explanation: add 10 to 5 and you get 15

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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According to the given information in the question P(A) is mutually exclusive.

When two events are incompatible with one another, the specific addition rule is applicable in probability. It claims that the likelihood of either event happening is equal to the likelihood of each event happening individually. If two occurrences A and B are considered to be mutually exclusive, then P(A) + P(B) is the formula used to determine the likelihood that either event will occur (B).

Assuming that event A and event B are mutually exclusive event.

To prove: Aand B are mutually exclusive.

Condition:P(A or B)=P(A)+P(B)

P(A or B)=P(A)+P(B)

           = +

              =

              =

               =

               =

               =

P(A or B)=P(A)+P(B)

Therefore, the given equation satisfies the condition.

So, Event A and Event B are Mutually Exclusive events.

a)Mutually Exclusive.

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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

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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Answer: 10-1  (9)

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

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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Answer:

It is a composite number

Step-by-step explanation:

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

Answer:

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

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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what is management business

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.

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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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:

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]

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:

a) 40cm²

b) 150cm²

Step-by-step explanation:

a)

The area of the shaded region is equal to the area of the larger rectangle, minus the area of the smaller rectangle.

Knowing the formula for the area of a rectangle is bh (where b is base and h is height), we can find

Large rectangle area: bh = (20)(10) = 200cm²

Smaller rectangle area: bh = (12)(10) = 120cm²

The area of the shaded region is therefore 200-120cm²=80cm²

b)

The area of the shaded region is equal to the area of the larger triangle, minus the area of the smaller triangle.

Knowing the formula for the area of a triangle is 0.5bh (where b is base and h is perpendicular height), we can find

Large triangle area: 0.5bh = 0.5(20)(20) = 10(20) = 200cm²

Smaller triangle area: 0.5bh = 0.5(20)(5) = 10(5) = 50cm²

The area of the shaded region is therefore 200-50cm²=150cm²

Answer:a) 140 cm^

b)150m^2

Step-by-step explanation:

a)first find the area of big rectangle i.e rectangle

area of rectangle 1 = length ×breadth

area of rectangle = 10×20=200cm^2

now find area of small rectangle i e rectangle

area of rectangle 2 = 12×5=60cm^2

now subtract area of rectangle 2 from area of rectangle

area of shaded portion =200-60= 140cm^2

b)find area of big triangle i.e triangle 1....

area of triangle 1 = 1/2 × base × height...

area of triangle 1 =1/2×20×20 = 200m^2

area of triangle 2 =1/2×10×5 =25m^2

area of triangle 3=1/2×10×5= 25m^2

area of shaded portion = area of triangle 1 - area of triangle 2 - area of triangle

area of shaded portion =200-25-25 =150m^2

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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Answer: a = 7, b = -4:

This equation can be rewritten as 7x = ax + b - 4.

Since the coefficients of x on both sides are equal, the equation becomes 7x = ax - 4, we can see that the equation has only one solution.

a = 4, b = 7:

This equation can be rewritten as 7x = ax + b - 7.

Since the coefficients of x on both sides are different, the equation becomes 7x = 4x + 7, we can see that the equation has no solution.

a = 7, b = 4:

This equation can be rewritten as 7x = ax + b - 4.

Since the coefficients of x on both sides are equal, the equation becomes 7x = 7x + 4, we can see that the equation has infinitely many solutions.

a = -7, b = 4:

This equation can be rewritten as 7x = ax + b - 4.

Since the coefficients of x on both sides are different, the equation becomes 7x = -7x + 4, we can see that the equation has no solution.

Step-by-step explanation:

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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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 required measure of m ∠Q is 46 degrees for the given figure.

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

As per the corresponding angles property, we can write the equation would be as:

17x = 56 + (8x-2)

17x - 8x = 56 - 2

9x = 54

x = 6

Since m ∠Q = 8x-2

So substitute the value of x = 6 in the above equation,

Then, we get m ∠Q = 8(6) - 2 = 46 degree

Thus, the required measure of m ∠Q is 46 degrees.

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solution of the equation is: (1, 6 ). This can be solved by substitution method.

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

y = 5x + 1 .............(1)

4x + y = 10 ............ (2)

substitute y = 5x + 1 into (2)

4x + 5x + 1 = 10

or, 9x + 1 = 10 ( subtract 1 from both sides )

or, 9x = 9 ( divide both sides by 9 )

or, x = 1

substitute x = 1 into (1)

y = 5(1) + 1

or, y = 5 + 1

or, y = 6

Thus, solution of the equation is: (1, 6 )

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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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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: 45 degrees

Step-by-step explanation:

1 clockwise rotation = 360 degrees

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

Step-by-step explanation:

Move the decimal point one place to the right

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.