how to convert 178cm to inches?

Answer: the answer would be

 $ 784.96

Step-by-step explanation:

Answer:

Step-by-step explanation:

The discount rate = 12%

The retail price= $892

The discount = the retail price*the dicount

                      =  12/100*892= $107.4

"Poke the bear" in cybersecurity refers to intentionally triggering a potential threat in order to test an organization's security systems and identify vulnerabilities.

In cybersecurity, "Poke the bear" means intentionally attempting to trigger a potential cyber threat in order to test an organization's security systems and identify vulnerabilities. This may involve actions such as sending a phishing email to see if employees fall for it, or attempting to breach a system in order to determine how strong its defenses are.

By proactively identifying weaknesses in their security systems, organizations can take steps to improve their cybersecurity posture and reduce the risk of a successful attack. However, "Poking the bear" should be done carefully and ethically, with appropriate permissions and safeguards in place.

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The required in the equation y = 12x + 30, the independent variable is x, which represents the number of weeks. The dependent variable is y.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the equation y = 12x + 30, the independent variable is x, which represents the number of weeks. The dependent variable is y, which represents the amount of money in the savings account after x weeks.

The value of y depends on the value of x, so y is dependent on x. However, the value of x does not depend on the value of y, so x is independent.

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The matrix equation [4 5 40 - 9 - 5 27 1 - 7 32] can be written as a vector equation Ax = <40 27 32>

A matrix is a rectangular array of numbers, often denoted as Ax, where A is the matrix itself and x is the vector of numbers that make up the columns of the matrix.

In this problem, we are given the matrix equation 4 5 40 - 9 - 5 27 1 - 7 32 and asked to use the definition of Ax to write it as a vector equation.

To do this, we need to identify which numbers are in the matrix A and which numbers are in the vector x.

The numbers 4, 5, -9, -5, 1, and -7 represent the matrix A, while the numbers 40, 27, and 32 represent the vector x.

Therefore, the matrix equation can be written as Ax = 40 27 32.

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Therefore , the solution of the given problem of linear equation comes out to be the linear equation of the image is y = 3x + 22.

The formula y = mx+b is used to produce a simple regression curve. The slope is B, and the y-intercept is m. The preceding line indicates independent components, yet is commonly referred to as a "math equation combining many variables". In bivariate linear equations, there are just two variables. Application problems involving linear equations have no known solutions. Y=mx+b.

Here,

Let's first find the coordinates of two points on the original line. We can choose any two points, but for simplicity, let's choose (0,4) and (1,7), which lie on the line y=3x+4.

The distance between these two points is:

d = √((1-0)² + (7-4)²) = √(10)

To find the new coordinates of these points after dilation, we multiply the distance by 4 and use the center of dilation (1,1) as the reference point:

New coordinates of (0,4):

x' = 1 + 4(0-1) = -3

y' = 1 + 4(4-1) = 13

New coordinates of (1,7):

x' = 1 + 4(1-1) = 1

y' = 1 + 4(7-1) = 25

So the image of the line y=3x+4 after dilation by scale factor 4 centered at (1,1) is the line passing through the points (-3,13) and (1,25). We can find the equation of this line by finding the slope and the y-intercept.

Slope:

m = (y2-y1)/(x2-x1) = (25-13)/(1-(-3)) = 12/4 = 3

Y-intercept:

y = mx + b

13 = 3(-3) + b

b = 22

Therefore, the linear equation of the image is y = 3x + 22.

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The age of Jane is 22 years.

Janes age is 10 more than three times her son's age. In two years, her age will be 12 less than the square of her son's age. Therefore, let's find Jane's age as follows:

Hence, using equation,

let

son's age = x

Jane age = 3x + 10

In two years,

(x + 2)² - (3x + 10 + 2)  = 12

(x + 2)(x + 2) - 3x - 12 = 12

x² + 2x + 2x + 4 - 3x - 24 = 0

x² + x - 20 = 0

x² - 4x + 5x  - 20 = 0

x(x - 4) + 5(x - 4) = 0

(x + 5)(x - 4) = 0

Therefore,

x = -5 and x = 4

We can only use positive numbers.

Therefore,

Jane's age = 3x + 10

Jane's age = 3(4) + 10

Jane's age = 12 + 10

Jane's age = 22

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To convert ml to kg we have to find the density of the liquid or the body first.

The density of the body is defined as the mass of the body per unit volume of the body.

The density of the body is the only link between  mass and the volume of the body. As we know that volume and mass have different unit I.e. mass have Kg and volume have ml.

So, what we do is,

Density = Mass/volume

Now, we can inter convert them to our requirement.

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Pick B. The graph's name and shape as expressed by the equation y = c is known as its constant function.

Theoretical physicists use graphs to graphically represent or chart facts or values in a logical way. Usually, a plot point will reveal the connection between three or more objects. A graph is a quel data structure made up of nodes, also known as triangles, and edges. The nodes, sometimes referring to as vertices, should have been joined with glue. Edges in this graph are 1, 2, 3, and 5, whereas edges are 1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Graphical depictions of advances in statistical charts, such as charts and graphs, pie charts, and line graphs. a circle logarithmic graph

given

The function illustrated is a horizontal straight line which is often represented by the equation y = c which is a constant function; consequently, the right answer is B.

By considering alternative options, we can determine that the function cannot be an identity function (since the function is not y = x), an absolute value function (because the graph is flat), or a cubic function (because the graph is flat).

Pick B. The graph's name and shape as expressed by the equation y = c is known as its constant function.

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Answer:

Step-by-step explanation:

m

=

1

;  

n

=

−

2

Explanation:

Given:

4

m

+

n

=

2

-------------------------------Equation (1)

m

−

4

n

=

9

..........................................Equation (2)

Determine the value of n

Showing every step in the first part to demonstrate method

Consider Equation (2)

Add 4n to both sides

m

−

4

n

+

4

n

=

9

+

4

n

But

4

n

−

4

n

=

0

m

=

9

+

4

n

.....................................(3)

Substitute for m in (1) using (3)

4

m

+

n

=

2

→

4

(

9

+

4

n

)

+

n

=

2

Multiply out the bracket

⇒

36

+

16

n

+

n

=

2

36

+

17

n

=

2

Subtract 36 from both sides

17

n

=

−

34

Divide both sides by 17

n

=

−

34

17

=

−

2

'.........................................................

Determine the value of m

Substitute

n

=

−

2

into (2)

m

−

4

n

=

9

→

m

−

4

(

−

2

)

=

9

m

+

8

=

9

m

=

9

−

8

m

=

1

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Check

4

m

+

n

=

2

→

4

(

1

)

+

(

−

2

)

=

2

m

−

4

n

=

9

→

1

−

4

(

−

2

)

=

9

The amount of money that will be used to drive only one mile by the different vehicles given above such as Deswagon and DesMobile would be =$57.35 and $56.78 respectively.

The total mileage that can be covered by Deswagon = 490miles.

The total cost of gas for the Deswagon = $28,100

Therefore the amount that will be paid for only one mile = X.

That is , 490 miles = $28,100

1 mile = ×

make X the subject of formula;

X = 28,100/490

= $57.35.

The total mileage that can be covered by DesMobile = 575miles.

The total cost of gas for the DesMobile = $32,650.

Therefore the amount that will be paid for only one mile = X.

That, 575 miles = $32,650

1 mile = X

Make X the subject of formula;

X = 32,650/575

X = $56.78.

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The number of rational zeroes in f(x) = 4x⁴ - x³ + 3x² - 4x - 6 is 12.

The rational root theorem explains how a polynomial's roots and coefficients are related. It explains the kind of rational roots that the polynomial might have in particular.

According to the rational root theorem, the possible roots of a polynomial of degree three and above are,

± (coefficient of the last term)/(coefficient of the first terms).

Given, A polynomial function f(x) = 4x⁴ - x³ + 3x² - 4x - 6.

Now, The rational roots are ± (a₄)/(a₀).

= (± 1, ± 2, ± 3, ± 6)/(± 1, ± 2, ± 4).

Therefore, The possible number of rational zeroes is 4×3 = 12.

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CJ's rectangular prism will require more material to construct since it has a larger surface area than Torey's prism.

To compare the amount of material required to construct the two rectangular prisms, we need to calculate the surface area of each prism. The surface area of a rectangular prism is given by the formula:

Surface area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the rectangular prism.

For CJ's prism, we have:

l = 7 cm, w = 4 cm, h = 12 cm

So the surface area of CJ's prism is:

Surface area of CJ's prism = 2(7 cm x 4 cm) + 2(7 cm x 12 cm) + 2(4 cm x 12 cm)

= 56 cm² + 168 cm² + 96 cm²

= 320 cm²

For Torey's prism, we have:

l = 10 cm, w = 6 cm, h = 3 cm

So the surface area of Torey's prism is = 2(10 cm x 6 cm) + 2(10 cm x 3 cm) + 2(6 cm x 3 cm)

= 120 cm² + 60 cm² + 36 cm²

= 216 cm²

Therefore, CJ's rectangular prism will require more material to construct since it has a larger surface area than Torey's prism.

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Answer:

This is an obtuse triangle.

Step-by-step explanation:

Sure that are 2 acute angle but it is not acute, if it was acute, then it would have 3 acute angles. It might look like a right triangle, but the angle on the bottom left is actually past 90º. So it is an obtuse triangle. Hope this helped! Have a good day!

Answer:

y = x + 8  (second option)

Step-by-step explanation:

If Chris's age is x , then Stephanie who is 8 years older should be x + 8

y = x + 8

The object has a mass of 5.76 kg.

We may represent "m" in terms of "e" (energy) and "v" (speed) using the kinetic energy formula, assuming that "m" relates to the mass of the object:

The energy an object possesses as a result of its motion is known as kinetic energy. It is described as the energy that a moving object contains as a result of its motion, which is dependent on the mass and velocity of the object.

The formula for calculating an object's kinetic energy is KE = 1/2 * m * v2.

To solve for "m," we can rearrange this formula:

m = 2 x KE /

We obtain the following by substituting the given values:

m = 2 x 1800 / 25

m = 2 x 1800 J / 625

m= 5.76 (rounded to two decimal places)

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The smallest angle θ1 for which a laser beam can undergo total internal reflection on the hypotenuse of a glass prism is 41.8°, expressed with two significant figures

The smallest angle θ1 for which a laser beam can undergo total internal reflection on the hypotenuse of a glass prism can be calculated using the law of total internal reflection. This law states that when a ray of light is incident on the surface separating two media of different refractive indices, the angle of incidence (θ1) must be greater than a certain critical angle (θc) in order for total internal reflection to occur.

Calculating the critical angle of the hypotenuse of a glass prism can be done by using Snell’s Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two media. In this case, the two media are air and glass, with refractive indices of 1 and 1.5 respectively.

Using Snell’s Law, we can calculate the critical angle of the hypotenuse as θc = sin⁻¹ (1/1.5) = 41.8°.

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We may use the formula 1Hp = 735Watt to convert watts to horsepower.

Watt and horsepower are both units of power.

But horsepower is a more powerful unit of power. We use horsepower to measure the power of electrical instruments such as turbines, motors, and a variety of other devices.

Thus, according to normal unit conversion rates, 1 Horsepower Equals 735 Watt.

1 Hp = 735 W

As a result, we have the conventional relationship 1Hp = 735 W. We may now simply convert any power supplied in horsepower to the unit of Watt.

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In case of measurement, 300 mm is equivalent to 11.811 inches.

Measurement is a critical aspect of our daily lives as it helps us quantify things and understand the world around us.

When it comes to converting units of measurement, it is essential to understand the basic conversions. One such conversion is between millimeters (mm) and inches (in).

To convert millimeters to inches, we need to know the conversion factor, which is 1 mm = 0.0393701 in. This means that if we have a measurement of 300 mm and we want to know its equivalent in inches, we simply multiply 300 by the conversion factor:

300 mm x 0.0393701 in/mm = 11.811 inches (rounded to the nearest thousandth)

It is essential to remember that understanding conversions between units of measurement is crucial in many fields such as engineering, science, and medicine. Being able to convert units accurately can prevent errors and ensure precise calculations.

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The statement that must be true is option (f) "The equation Ax = b has a solution for all b precisely when it has more columns than rows".

A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns.

This is because if the matrix has more columns than rows, then the system of equations cannot be underdetermined, meaning that there is a unique solution for the equation.

On the other hand, if the matrix has more rows than columns, then it is possible that the equation Ax = b could have no solutions, which would mean that it is an overdetermined system.

Furthermore, if the matrix is a square matrix, then it will have the same number of rows and columns, and it is possible that the equation Ax = b could have either one solution or no solutions.

Therefore, the statement "The equation Ax = b has a solution for all b precisely when it has more columns than rows" is the only one out of the six given that must be true

Hence the option (f) is correct.

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Measures of centre are used to describe the typical or average value of the data, while measures of spread describe the variability or dispersion of the data around the centre. Some common measures of centre and spread include:

Mean: the arithmetic average of the data. It is appropriate for symmetric distributions without outliers.

Median: the middle value of the data. It is appropriate for skewed distributions and distributions with outliers.

Mode: the most common value in the data. It is appropriate for distributions with a prominent peak or mode.

Range: the difference between the maximum and minimum values in the data. It is appropriate for describing the spread of the data, but it can be influenced by outliers.

Interquartile range (IQR): the range of the middle 50% of the data, from the 25th percentile (Q1) to the 75th percentile (Q3). It is appropriate for describing the spread of the data, and it is less influenced by outliers than the range.

Standard deviation: a measure of the average distance of the data from the mean. It is appropriate for symmetric distributions without outliers, and it is used to describe the spread of the data in the context of the mean.

The choice of which measures to use depends on the characteristics of the distribution and the goals of the analysis.

In general, it is important to consider multiple measures of centre and spread in order to obtain a complete understanding of the distribution of the data.

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Answer

True, True, False

Step-by-step explanation:

I am not quite sure but I hope this helps in any way.

I say True to the Increasing from minute to 25 because Clayton’s time starts at 0 and the time increases to 25 minutes.

I say True because if you see the point where it shows 25 minutes and stops at 60 minutes until Clayton goes back up, it shows the line regularly occurring which would make him be constantly moving to 60 minutes. (Constant means to regularly occur)

I say false because Clayton’s time is increasing into 90 minutes, not decreasing. Also its kinda like the same concept as the Increasing from minute 0 to 25.

Answer:

surface area = 578^2

Step-by-step explanation:

SA of cylinder = 2πr^2+2πrh

r = radius (8)

h = height (7)

= 2 x π x 6^2 + 2 x π x 8 x 7

= 578.053

The population of Blueville in 2012 from the exponential function is;

⇒ 9000

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Here, We are given the equation of the function as;

⇒ f (x) = 9000(0.985)ⁿ

where;

x is the number of years since 2012

Thus, In the year 2012, it means that n will be 0,

Hence, As number of years is 0 by then we get;

f(0) = 9000(0.985)⁰

f(0) = 9000 * 1

f(0) = 9000

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The inverse function of the given function which gives the value of the number of days when the population of bacteria is known is:

f ⁻¹(x) = log₁.₆(1.6x - 32)

What is an inverse function?

A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function. The output of a function is returned by the inverse function, which also returns the initial value. A function that can reverse into another function is known as an inverse function or anti function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y.

The given function is:

[tex]f(x) = 1.6^{x-1} + 20\\[/tex]

[tex]y = 1.6^{x-1} + 20\\[/tex]

Now we are asked to find the inverse of this function.

That is, we have to write x in terms of y.

And then substitute the y back with x, to write as an inverse function

f ⁻¹(x).

[tex]y = 1.6^{x-1} + 20\\[/tex]

y - 20 = [tex]1.6^{x-1}[/tex]

y-20 = 1.6ˣ / 1.6

1.6y - 1.6 * 20 = 1.6ˣ

1.6y - 32 = 1.6ˣ

x = log₁.₆(1.6y - 32)

Therefore the inverse function of the given function which gives the value of the number of days when the population of bacteria is known is:

f ⁻¹(x) = log₁.₆(1.6x - 32)

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Answer:

30^

Step-by-step explanation:

To write 0.3 as a percent, multiply 0.3 by 100. Append % symbol in the product obtained. So, 0.3 as a percent is 30 %. We can write in just two steps to calculate any decimal into a percent.

Answer:

12.598

Step-by-step explanation:

divide the length value by 2.54

Answer:

24.413

Step-by-step explanation:

Break the shape up into 2 triangles and 1 rectangle, then add up the 3 areas.

Rectangle:  4.6 x 3.15 = 14.49

Triangle 1:  1/2(3.3)(3.15) = 5.1975

Triangle 2: 1/2(3)(6.3 - 3.15) = 4.725

Total area = 14.49 + 5.1975 + 4.725 = 24.413