A car travels 37 km in 25 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.

The probability that it is a blue ball is 5/12 ≈ 0.416.

Given:

A bag contains 5 blue balls 4 red balls 3 orange balls.

Total balls = 5 + 4 + 3

= 12

Number of possible outcomes = 12

Number of favorable outcomes =  number of blue balls = 5

Probability = Number of favorable outcomes / Number of possible outcomes.

= 5/12.

= 0.416

Therefore the probability that it is a blue ball is 5/12 ≈ 0.416.

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x-\cfrac{4}{5}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is 2/3 and that it passes through (-3 , 2) in standard form

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{2}{3}}(x-\stackrel{x_1}{(-3)}) \implies y -2= \cfrac{2}{3} (x +3)[/tex]

[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y-2)=3\left( \cfrac{2}{3} (x +3) \right)}\implies 3y-6=2(x+3)\implies 3y-6=2x+6 \\\\\\ 3y=2x+12\implies -2x+3y=12\implies {\Large \begin{array}{llll} 2x-3y=-12 \end{array}}[/tex]

The main difference between vulnerability scanning and penetration testing is a  vulnerability scan is an automated, high-level test that looks for and reports potential vulnerabilities. A penetration test is a detailed hands-on examination by a real person that tries to detect and exploit weaknesses in your system.

vulnerability scanning:

These scans are typically automated and give a beginning look at what could possibly be exploited.

High-quality vulnerability scans can search for over 50,000 vulnerabilities and are required as per PCI DSS, FFIEC, and GLBA mandates.

penetration testing:

A penetration test simulates a hacker attempting to get into a business system through hands-on research and the exploitation of vulnerabilities. Actual analysts, often called ethical hackers, search for vulnerabilities and then try to prove that they can be exploited. Using methods like password cracking, buffer overflow, and SQL injection, they attempt to compromise and extract data from a network in a non damaging way.

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The statement which said that "the standard deviation of utterance is the average number of morphemes that communicators use in their sentences", is false.

What is the standard deviation?

Standard deviation is a statistical value that shows the distribution of data in the sample so that it can show how close each point is to the sample mean value. The amount of data that differs from the average can be identified by the standard deviation value.

In conclusion, the standard deviation of utterance is the number of morphemes that are different from the average morpheme used by the communicator in his sentence.

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Answer:

pretty sure its the 2nd, 3rd, and 5th one

(Sorry if im wrong)

Step-by-step explanation:

The width of the shade along line AB, using relations in a right triangle, is of:

337.8 mm.

There are three relations in a right triangle, given as follows:

The width of the shade along-side line AB is of:

100 mm + e1 + e2.

Considering a bisection at the top corner of the shade, we have that:

e1 is the length opposite side to an angle of 50º in a right triangle with hypotenuse of 150 mm, hence:

sin(50º) = e1/150

e1 = 150 x sin(50º)

e1 = 114.9 mm.

Considering a bisection at the bottom corner of the shade, we have that:

e2 is the length opposite side to an angle of 55º in a right triangle with hypotenuse of 150 mm, hence:

sin(55º) = e2/150

e2 = 150 x sin(55º)

e2 = 122.9 mm.

Hence the total width of the shade is of:

100 mm + e1 + e2 = 100 + 114.9 + 122.9 = 337.8 mm.

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Answer:

Step-by-step explanation:

With corners as

A

(

−

2

,

−

1

)

,

B

(

1

,

2

)

,

C

(

5

,

2

)

and

D

(

2

,

−

1

)

, let us find slopes of each side of the parallelogram

A

B

C

D

.

Slope of

A

B

is

2

−

(

−

1

)

1

−

(

−

2

)

=

3

3

=

1

Slope of

B

C

is

2

−

2

5

−

1

=

0

4

=

0

Slope of

C

D

is

(

−

1

−

2

2

−

5

=

−

3

−

3

=

1

Slope of

D

A

is

−

1

−

(

−

1

)

2

−

(

−

2

)

=

0

4

=

0

As slopes of alternate sides of quadrilateral are equal, alternate sides are parallel to each other

and

A

B

C

D

is a parallelogram.

The required value of the function x is 41.6

This relationship is typically represented as y = f(x), or "f of x," where y and x are coupled such that for each value of x, there is a specific value of y. This means that f(x) can only have one value for a given x. In set theory jargon, a function connects an element x to an element f(x) in another set.

Given : f (x ) = 3x - 121

to find ; value of f ( x ) when f (x) = 4

Since two values of f(x ) are given

we can simply equate these two values

and the answer which we will get is the final answer

thus we get

3x - 121 = 4

3x = 121 + 4

3x = 125

x = 125/ 3

x = 41.6

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The smallest amount that can be charged per box of seeds to make a profit of $409 is $20.125

A profit is the financial gain from a business transaction when the revenue from the transaction exceeds the expenses and taxes.

The function for the profit from the fund raiser is; p = -0.5·x² + 36·x - 113

When the profit is $409, we have;

p = 409 = -0.5·x² + 36·x - 113

-0.5·x² + 36·x - 113 = 409

-0.5·x² + 36·x - 522 = 0

The solutions of the above quadratic function, found using the quadratic formula are as follows;

x = (-36 ± √(36² - 4×(-0.5)×(-522)))/(2×(-0.5))

From which we have;

x = (-36 + √(36² - 4×(-0.5)×(-522)))/(2×(-0.5)) ≈ 20.125

x = (-36 - √(36² - 4×(-0.5)×(-522)))/(2×(-0.5)) ≈ 51.875

Therefore, when the profit is $409, the amount charged are x ≈ 51.875 or x ≈ 20.125

The smallest amount charged when the profit is $409 is therefore;

x ≈ $20.125

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Answer:

90 - 2x

Step-by-step explanation:

Angle A and B are both equal as both connect to the middle of the circle

ABO = [tex]x[/tex]

BAO = [tex]x[/tex]

Look at the diagram I attached

Angle ABC is = [tex]x+90[/tex]

Angle BAC = [tex]x[/tex]

Total Angle in a Triangle = 180

[tex]x + 90 + x + ACB = 180[/tex]

[tex]180 - 90 - 2x = ACB[/tex]

[tex]ACB = 90 - 2x[/tex]

Answer: No, both statements are false.

Step-by-step explanation: it's logical a square has to have 4 sides no more and no less.

The statements are not logically equivalent because D.) No, both statements are false.

A square is a regular quadrilateral in Euclidean geometry, which means it has four equal sides and four equal angles. It can also be defined as a rectangle with two adjacent sides of equal length.

A square is a regular polygon with four equal sides and four equal angles of 90° each. A square is a closed two-dimensional shape with four equal sides and four vertices. Its opposing sides are perpendicular to each other. A square can also be thought of as a rectangle with equal length and width.

In this case, a square has four sides. Therefore, the information given about the square is wrong. The correct option is D.

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Step-by-step explanation:

1. gradient=y2-y1/x2-x1

=21-9/-7-(-12)

=21-9/-7+12

=12/5

2.consider any two coordinates:

(13,32),(7,33)

gradient:

=33-32/7-13

=1/-5

Answer:

be chill bro but which subject is this

3(3c + 1) = 21 is false

Answer:

3(3c + 1) = 21 is false.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-1°C

Step-by-step explanation:

-8+7=-1

Is your s key broken?

Answer:move one part on the right-side of zero

Step-by-step explanation:

Function for which x -intercepts is at 4 and -6 is given by

y = k (x - 4)( x + 6).

As given in the question,

Let us consider f(x) be the required function.

y = f(x)

Standard form of a function whose x- intercepts is defined as x = a and

x = b is given by ;

f(x) = k (x - a ) ( x -b)

⇒ y =  k (x - a ) ( x -b)

Where 'k' is constant which can be evaluate when quadratic function  passes through point ( x₁ , y₁).

Here x - intercept is  at 4 and -6

a = 4 and b = -6

Function for which x -intercepts is at 4 and -6 is given by :

y = k (x - 4) ( x -(-6))

⇒ y = k ( x - 4 ) ( x+ 6 )

Therefore, function for which x -intercepts is at 4 and -6 is given by

y = k (x - 4)( x + 6).

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Answer:

-14 + 23 = 9

Step-by-step explanation:

if you borrow 14 dollars and pay23 dollars you have a change of 9 dollars

Answer:

  C  1/2

Step-by-step explanation:

You have differentiable functions f and g that are inverses of each other with ...

and you want to know g'(-4).

Consider the composition ...

  f(g(x)) = x . . . . . . the functions are inverses of each other.

Differentiating with respect to x, we get ...

  f'(g(x))·g'(x) = 1

  g'(x) = 1/f'(g(x)) . . . . . . divide by the coefficient of g'(x)

For x = -4, this is ...

  g'(-4) = 1/f'(g(-4)) = 1/f'(7) . . . . . use the given values

  g'(-4) = 1/2

__

Additional comment

In the attachment, you can consider the red line to be the tangent to f(x) at x=7, and the blue line to be tangent to g(x) at x=-4. The slope of the tangent, g'(-4), is 1/2, the reciprocal of the slope at f(7)=-4.

A function and its inverse are reflections of each other in the line y=x. That line is shown as dashed orange, and the points of interest are marked: (7, -4) and its inverse, (-4, 7).

The missing side of the first triangle is 8 millimeters long.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inversely proportional, can be built to find the desired measures in the problem.

We have been given that;

The first triangle has a side length of 12 millimeters, which corresponds to the second triangle's side of 18 millimeters.

The missing side of the first triangle corresponds to a side of 12 millimeters on the second triangle.

Therefore, The relationship between them is;

12/ n = 18/12

n = 12 x 12/18

n = 144 /18

n = 8

Therefore, the missing side of the first triangle is 8 millimeters long.

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Check the picture below, assuming counter-clockwise rotation.

Answer:

147 * 3/8

1176/3 = 392

Answer: Choice B

Step-by-step explanation:

A doesn’t contain any variables

B is literal because you can solve for X

C doesn’t contain any numbers

D is an expression

- Your Welcome

Answer:

C.

Step-by-step explanation:

A literal equation consists of mainly variables.

A. has no variables

B. only has one variable

D. Is not an equation

The percentage of flowers she did not pay for is 25% (option A)

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

For instance, 25% means 25/100. This means that 25% of a 50mangoes is 25/100× 50 =12.5mangoes

Similarly, the discount when she paid $60 instead of $80 is $80-$60= $20

therefore %discount = 20/80 ×100= 2000/80= 25%

therefore the percentage she did not pay for is 25%

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The equation of the line in standard form is x + 2y = -16

Linear equations are the set of equations that have constant slopes or  gradient

From the question, we have the following equation that can be used in our computation:

y+4=-1/2(x+8)

Rewrite the above equation properly

So, we have the following representation

y + 4 = -1/2(x + 8)

Multiply through the equation by -2

So, we have the following equation

-2(y + 4) = -1/2(x + 8) * -2

Evaluate the products

-2y - 8 = x + 8

To rewrite as standard form is to make the variable stand alone

So, we have

-x -2y = 8 + 8

Evaluate the like terms

So, we have the following representation

-x -2y = 16

Multiply through by -1

x + 2y = -16

Hence, the equation is x + 2y = -16

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Possible question

consider the equation y+4=-1/2(x+8)

Put the equation of a line into standard form

As per the concept of right angled triangle, the set of side measurements that could be used to form a right triangle is √15, 6, and √51

Right-angle triangle:

Right angle triangle means a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

Given,

√19, √35, 54

√15, 6, √51

5, 8, 30

5, 6, 7

Now, we have to determine which set of side measurements could be used to form a right triangle.

Here we  know that, according to the Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

So, by using Pythagoras' theorem:

Option (2) √15, 6, √51

Makes the right angle triangle,

Because when we verify these by using the Pythagoras theorem,

(√15)² + (6)² = (√51)²

15 + 36 = 51

51 = 51

Therefore, the set of side measurements that could be used to form a right triangle is √15, 6, and √51  option (2) is correct.

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Answer:

y

=

x

+

3

y

=

x

−

3

Step-by-step explanation:

For the given function f(x) = 5x² - 35x -300 the rational zeroes of the given function are 12 and -5.

As given in the question,

Given function is equal to:

f(x) = 5x² - 35x -300

Simplify the given function f(x) = 5x² - 35x -300 to get the rational zeros of the function,

f(x) = 0

⇒ 5x² - 35x -300 = 0

⇒ 5( x² - 7x - 60) = 0

As 5≠ 0 ,

⇒ x² - 7x - 60 = 0

⇒  x² - 12x + 5x- 60 = 0

⇒(x-12) (x+ 5) = 0

⇒ x = 12 or -5

Therefore, for the given function f(x) = 5x² - 35x -300 the rational zeroes of the given function are 12 and -5.

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