Simplify (4.5)(5)(-2).

answers:

45

4.5

-4.5

-45

a. The total number of possible passwords is 45,697,014,176.

b. The total number of possible passwords is 44,146,368,000

(a) If digits and letters can be repeated, then there are 10 possible choices for each of the 3 digits as well as 26 possible choices for each of the 4 letter. Therefore, the total number of possible passwords is:

10^3 * 26^4 = 45,697,014,176

(b) If digits and letters cannot be repeated, then there are 10 choices for the first digit, 9 choices for the second digit (since one digit has already been used), 8. Therefore, the total number of possible passwords is:

10 * 9 * 8 * 26 * 25 * 24 * 23 = 44,146,368,000

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a. The total number of possible passwords is 45,697,014,176.

b. The total number of possible passwords is 44,146,368,000

(a) If digits and letters can be repeated, then there are 10 possible choices for each of the 3 digits as well as 26 possible choices for each of the 4 letter. Therefore, the total number of possible passwords is:

10^3 * 26^4 = 45,697,014,176

(b) If digits and letters cannot be repeated, then there are 10 choices for the first digit, 9 choices for the second digit (since one digit has already been used), 8. Therefore, the total number of possible passwords is:

10 * 9 * 8 * 26 * 25 * 24 * 23 = 44,146,368,000

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The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.

The combined rate of all three workers is 6 fences per 3 hours.

To find out how long it would take for all three painters to paint the fence together, we need to find the combined rate of work for Abel, Baker, and Chuck.

Let's first find the rate of work for each painter individually.

Abel's rate of work is 1/18 of the fence per hour (since he can paint the whole fence in 18 hours).

Baker's rate of work is twice as fast as Abel's, so his rate of work is 2/18 (or 1/9) of the fence per hour.

Chuck's rate of work is three times as fast as Abel's, so his rate of work is 3/18 (or 1/6) of the fence per hour.

Now, to find the combined rate of work for all three painters, we simply add their individual rates of work together:

1/18 + 1/9 + 1/6 = 1/18 + 2/18 + 3/18 = 6/18 = 1/3

This means that together, the three painters can paint 1/3 of the fence per hour.

To find out how long it would take them to paint the whole fence, we simply divide the total amount of work (1 whole fence) by their combined rate of work (1/3 of the fence per hour):

1 ÷ 1/3 = 3

So it would take the three painters 3 hours to paint the whole fence together.

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Answer:

The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

But,

<P = 048°

<Q = \(360^{o}\) - \(324^{o}\)

     = 0\(36^{o}\)

Sum of angles in a triangle = \(180^{o}\)

<P + <Q + <S = \(180^{o}\)

048° + 0\(36^{o}\) + <S = \(180^{o}\)

\(84^{o}\) + <S = \(180^{o}\)

<S  = \(180^{o}\) -  \(84^{o}\)

    = \(96^{o}\)

<S = \(96^{o}\)

Applying the Sine rule,

\(\frac{y}{Sin P}\) = \(\frac{x}{Sin Q}\) = \(\frac{z}{Sin S}\)

\(\frac{y}{Sin P}\) = \(\frac{z}{Sin S}\)

\(\frac{y}{Sin 48^{o} }\) = \(\frac{17}{Sin 96^{o} }\)

\(\frac{y}{0.74314}\) = \(\frac{17}{0.99452}\)

⇒ y = \(\frac{12.63338}{0.99452}\)

       = 12.703

y = 12.70 km

\(\frac{x}{Sin Q}\) = \(\frac{z}{Sin S}\)

\(\frac{x}{Sin 36^{o} }\) = \(\frac{17}{Sin 96^{o} }\)

\(\frac{x}{0.58779}\) = \(\frac{17}{0.99452}\)

⇒ x = \(\frac{9.992430}{0.99452}\)

      = 10.0475

x = 10.05 km

Thus,

the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Answer:

Slope is 4.

Step-by-step explanation:

First, we need to find two points in order to find the slope.

Point A (50, 0)

Point B (60, 40)

Next, we have to plug the points in to the slope equation.

\(m = \frac{y_{2} - y{1}}{x_{2}- x_{1}}\)

Point A will be \((x_{1}, y_{1})\)

Point B will be \((x_{2}, y_{2})\).

\(m = \frac{40 - 0}{60- 50}\)

\(m = \frac{40}{10}\)

\(m = 4\)

Therefore, the slope is 4.

Hope this helped! <3

If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to widen.

This is because the standard deviation is a measure of the spread of the data, so if it increases, the data points are more spread out from the mean. As a result, the range of values that could reasonably contain the true population parameter (i.e., the confidence interval) needs to be wider to account for the increased variability in the sample.
If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to become wider.
When standard deviation increases, it indicates more variability in the data. As a result, the confidence interval, which is a range of values that estimates the true population parameter with a certain level of confidence, needs to be wider to account for the increased variability. This ensures that the true population parameter is still captured within the interval with the same level of confidence.

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Answer:

To find out how much the TV is worth now, we need to apply the depreciation rate of 9% to the original price for 8 months:

First, let's calculate the value after the first month:

Value after 1 month = $2740 - (9% of $2740) = $2501.40

Now, let's calculate the value after 2 months:

Value after 2 months = $2501.40 - (9% of $2501.40) = $2275.80

We can continue this process for 8 months to find the current value:

Value after 3 months = $2071.67

Value after 4 months = $1888.81

Value after 5 months = $1725.10

Value after 6 months = $1579.92

Value after 7 months = $1452.16

Value after 8 months = $1339.53

Therefore, the TV is worth $1,339.53 now.

The use of a stakeholder management tool, such as the power interest grid or the stakeholder assessment matrix, may differ based on the chosen methodology. The methodology selected determines the approach, criteria, and prioritization used in assessing stakeholders and managing their engagement.

The choice of methodology for stakeholder management tools like the power interest grid or the stakeholder assessment matrix can impact how stakeholders are identified, assessed, and prioritized. The power interest grid is a tool that classifies stakeholders based on their level of power and interest in a project or organization. The methodology used to populate this grid can vary, such as through surveys, interviews, or a combination of methods. The methodology chosen can affect the accuracy and reliability of the data gathered, as well as the level of stakeholder involvement in the assessment process.

Similarly, the stakeholder assessment matrix is another tool that evaluates stakeholders based on their level of influence and impact on a project. The chosen methodology will determine the criteria used to assess stakeholders and assign them to different categories within the matrix. For example, one methodology might consider a stakeholder's financial investment, while another might focus on their expertise or social influence. The methodology selected can influence the outcomes of the assessment, such as the identification of key stakeholders or the prioritization of their needs and expectations.

In conclusion, the use of stakeholder management tools like the power interest grid or the stakeholder assessment matrix can differ based on the chosen methodology. The methodology determines the approach, criteria, and prioritization used in assessing stakeholders and managing their engagement. Careful consideration should be given to selecting a methodology that aligns with the specific project or organizational context to ensure effective stakeholder management.

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Answer:

To find the equation of the tangent line at the point (1,-1), we need to find the derivative of the function y=2/x-3/x^2 first.

y = 2/x - 3/x^2

y' = -2/x^2 + 6/x^3

Now we can plug in x=1 to find the slope of the tangent line at (1,-1).

y'(1) = -2/1^2 + 6/1^3 = 4

So the slope of the tangent line is 4.

To find the equation of the tangent line, we can use the point-slope form:

y - y1 = m(x - x1)

where m is the slope and (x1,y1) is the point (1,-1).

Plugging in the values, we get:

y - (-1) = 4(x - 1)

Simplifying, we get:

y = 4x - 5

Therefore, the equation of the tangent line at (1,-1) is y=4x-5.

Step-by-step explanation:

The process of checking the correctness of an integration answer is essentially the reverse process of integration, called differentiation. By taking the derivative and comparing it to the original function, you can confidently determine if your integration solution is accurate.

The answer to an integration question, also known as the integral, represents the accumulated sum of a given function over a specified interval. In other words, integration helps us find the area under a curve or the total accumulated value of a continuously changing quantity.
To check the answer of an integration problem and ensure its correctness, you can use the following steps:
Perform the integration: Compute the integral of the given function over the specified interval, which will result in a new function or a constant value.
Take the derivative: To verify the correctness of the computed integral, take the derivative of the resulting function (if the integral resulted in a function) or the constant value. This process is called differentiation.
Compare the derivative with the original function: After obtaining the derivative of the integral, compare this derivative to the original function given in the integration problem. If the derivative matches the original function, then the computed integral is correct.
Verify any boundary conditions: If the integration problem involves definite integrals (integrating over a specific range or interval), ensure that the computed integral satisfies any given boundary conditions or constraints.
Remember, the process of checking the correctness of an integration answer is essentially the reverse process of integration, called differentiation. By taking the derivative of the integral and comparing it to the original function, you can confidently determine if your integration solution is accurate.

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Therefore , the solution of the given problem of surface area comes out to be 212 square feet of the wall are therefore covered by the design.

The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.

Here,

We must first determine the area of each individual form before adding them together to determine the portion of the wall that the design covers.

Taking a look at the rectangle first, we can observe that it has the following area:

=> 120 square feet=  10 feet x 12 feet.

=> 40 square feet =  (1/2)(10 ft)(8 ft).

Consequently, the two triangles' combined area is:

=> 80 square feet =  2 x 40 square feet.

=> (12 square feet) = (1/2)(6 ft)(4 ft).

The total area of all the shapes is as follows:

=> 212 square feet=  120 square feet, 80 square feet, and 12 square feet.

=> 212 square feet of the wall are therefore covered by the design.

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Answer: the answer is 261 ^2 ft!

Step-by-step explanation:

a. There are 10 kg salt in the tank after t minutes

b.  After 30 minutes, the amount of salt in the tank is still 10 kg.

a) After t minutes, the amount of salt in the tank can be found by the formula:

Amount of salt = initial amount of salt + (rate of salt in - rate of salt out) x time

The initial amount of salt is 10 kg, and the rate of salt in is 0.01 kg/L x 15 L/min = 0.15 kg/min. The rate of salt out is also 0.01 kg/L x 15 L/min = 0.15 kg/min, because the solution is kept thoroughly mixed. Therefore, the amount of salt in the tank after t minutes is:

Amount of salt = 10 + (0.15 - 0.15) x t = 10 kg

b) After 30 minutes, the amount of salt in the tank is still 10 kg. This is because the rate of salt in and the rate of salt out are equal, and so the amount of salt in the tank remains constant. Therefore, the answer is the same as part (a), which is 10 kg

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Andrew gets on a scale and reads his weight as 66 lb. If 1 kg ≈ 2. 2 lb, what is his mass in kilograms? His mass is 29.93 kilograms.

A pound( symbol lb) is a unit of mass used in the customary systems of dimension. The transnational avoirdupois pound( the common pound used moment) is defined as exactly 0.45359237 kilograms. The avoirdupois pound is original to 16 avoirdupois ounces.

A kilogram( symbol kg) is the base unit of mass in the International System of Units( SI). It's presently defined grounded on the fixed numerical value of the Planck constant, h, which is equal to 6.62607015 × 10- 34 in the units of J · s, or kg · m2 · s- 1. The cadence and the second are defined in terms of c, the speed of light.

The unitary method is used to find the value of a single unit from a given multiple, 1 pound = 0.45359237 kilograms ≈ 0.454 kilograms

66 pounds = 66 X 0.454 kilograms ≈ 29.93 pounds.

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the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

The claim and the null hypothesis are the same when the claim being made is that there is no significant difference or relationship between variables or that there is no effect or impact of a particular factor. In other words, the claim asserts that the null hypothesis is true.

For example, if the null hypothesis (H₀) states that there is no difference between the means of two groups, the corresponding claim would be that the means are indeed equal. Similarly, if the null hypothesis states that there is no correlation between two variables, the claim would be that there is indeed no significant correlation.

In such cases, the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

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The System of Linear Equations with at least one solution is called as Consistent .

Consider the two linear equations , \(a_{1}x +b_{1}y =c_{1}\) and \(a_{2}x +b_{2}y =c_{2}\) ;

Case(i) If the ratio is \(\frac{a_{1} }{a_{2} } \neq \frac{b_{1} }{b_{2} }\) ,

then we say that the system of linear equations has a unique solution and the solutions are called as consistent .

Case(ii) If the ratio is \(\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }\)  ,

then we say that the system of linear equations has infinitely many solution and the solutions are called as consistent .

Case(iii) If the ratio is \(\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } \neq \frac{c_{1} }{c_{2} }\)  ,

then we say that the system of linear equations has No Solution and the solutions are called as inconsistent .

So , if the system has at least one solution , then the solutions are consistent .

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Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer:

35m

Step-by-step explanation:

length = 2+w

width = w

Perimeter = 2(length)+2(width)

24 = 2(2+w)+2(w) =  4+2w+2w = 4+4w

24=4+4w

4w=20

w=5

width =5

length = 2+5 = 7

Area = (length)(width) = 5(7) = 35m

Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Answer:

\(y=-4x+17\)

Step-by-step explanation:

\(\begin{pmatrix}4&1\end{pmatrix}\quad \mathrm{and}\quad \begin{pmatrix}2&9\end{pmatrix}\)

\(\mathrm{Computing\:dot\:product\:of\:two\:vectors}:\quad \left(x_1,\:\:\ldots ,\:\:x_n\right)\cdot \left(y,\:\:\ldots ,\:\:y_n\right)=\sum _{i=1}^nx_iy_i\)

\(=4\cdot \:2+1\cdot \:9\)

\(=17\)

Answer:

-5<x<-3

Step-by-step explanation:

Hope this helps! ;-)

A pencil consists of a cylindrical body (10 cm long, radius 0.3 cm) with a cone-shaped eraser (1 cm slant height) and a hemisphere-shaped eraser.

A pencil consists of three main parts: a cylindrical body, a cone-shaped eraser, and a hemisphere-shaped eraser. Let's break down the dimensions of each part:

Cylindrical Body:

Length: 10 cm

Radius: 0.3 cm

Cone-shaped Eraser:

Slant height: 1 cm (assumed height of the cone)

Hemisphere-shaped Eraser:

Since the dimensions of the hemisphere-shaped eraser are not specified in detail, we'll assume a few things:

Let's assume that the hemisphere is attached to the cone in such a way that the flat surface of the hemisphere is aligned with the circular base of the cone.

We'll assume that the radius of the hemisphere is the same as the radius of the cylindrical body, which is 0.3 cm.

Please note that the actual dimensions of a pencil can vary, and these assumptions are made for the purpose of explanation.

It's worth mentioning that the cylindrical body of the pencil is the main part used for writing, while the cone-shaped and hemisphere-shaped erasers are located at the opposite end of the pencil, typically used for erasing mistakes.

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Answer:

Step-by-step explanation:

a). Since starting point of the line is (0, 50),

    Therefore, I started with the saving of $50.

b). Since endpoint of the segment is (5, 175),

    Money with me after 5 weeks will be $175.

c). Let the equation of the line given in the graph is,

    y - y' = m(x - x')

    Where (x', y') is a point lying on the graph.

    And 'm' is the slope of the line.

    Slope of the line = \(\frac{175-50}{5-0}\)

                             m = \(\frac{125}{5}\)

                             m = 25

     Since, the line passes through (0, 50),

     y - 50 = 25(x - 0)

     y = 25x + 50

     y = 25x + 50

     For x = 6,

     y = 25×6 + 50 = 200

     For x = 7,

     y = 25×7 + 50 = 225

     For x = 8,

     y = 25×8 + 50 =250

d). For x = 10 weeks,

    y = 25×10 + 50 = $300

e). For x = 15 weeks

     y = 25×15 + 50 = $425

f). For x = 50 weeks,

     y = 25×50 + 50 = $1300

g). Equation of the line is,

     y = 25x + 50

Answer:

True

Step-by-step explanation:

It will be a special right triangle

Answer:

True

Step-by-step explanation:

For 3.5, 4.5 and 7 to be sides of a triangle the sum of two sides has to be greater than the third so

3.5+4.5 = 8 > 7 so is good

3.5.   +7 = 10.5 >4.5 si is good

4.5    +7 = 11.5 > 3.5 so all are good

The relation S={(a,b)∈R×R:a²+b²=1} is not an equivalence relation on the set of real numbers R.

To show that S is not an equivalence relation, we need to demonstrate that it fails to satisfy one or more of the properties of an equivalence relation: reflexivity, symmetry, and transitivity.

Reflexivity: For a relation to be reflexive, every element of the set should be related to itself. However, in the case of S, there are no real numbers (a, b) that satisfy the equation a² + b² = 1 for both a and b being the same number. Therefore, S is not reflexive.

Symmetry: For a relation to be symmetric, if (a, b) is related to (c, d), then (c, d) must also be related to (a, b). However, in S, if (a, b) satisfies a² + b² = 1, it does not necessarily mean that (b, a) also satisfies the equation. Thus, S is not symmetric.

Transitivity: For a relation to be transitive, if (a, b) is related to (c, d), and (c, d) is related to (e, f), then (a, b) must also be related to (e, f). However, in S, it is not true that if (a, b) and (c, d) satisfy a² + b² = 1 and c² + d² = 1 respectively, then (a, b) and (e, f) satisfy a² + b² = 1. Hence, S is not transitive.

Since S fails to satisfy the properties of reflexivity, symmetry, and transitivity, it is not an equivalence relation on the set of real numbers R.

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Answer:

immma send you the link friend me on hereStep-by-step explanation:

Answer:

Step-by-step explanation:

a

Opposite means add a negative sign in front of it.

The opposite of 6 is -6,

7 --> -7,

-10 --> 10.

Reciprocal means flip it.

Reciprocal of 6 is 1/6

of 7 is 1/7

of -10 is -1/10

Opposite reciprocal means add a negative sign AND flip it.

6 --> -1/6

7 ---> -1/7

-10 --> 1/10

In geometry, perpendicular lines on a graph have opposite reciprocal slopes.

Answer:

14

Step-by-step explanation:

Answer:

No because the first one will get an answer of -2 while the second one will get an answer of 14

Step-by-step explanation:

Hope This Helped

Answer:

no

Step-by-step explanation:

To solve this we can plug in 2 for x and 2 for y and see if the equations are true

we have

2= -4(2)+6

2= -8+6

2= -2

this is false, the answer is no

The volume of the given prism is 72 cubic centimeters

A prism is a solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.

From the given figure, one cube represents 1 cubic cm

From the given figure

length =6cm

width = 3cm

Height = 4cm

Determine the volume

Volume = length * width * height

Substitute the given parameters into the formula

Volume = 6cm * 3cm * 4cm

Volume = 18 * 4

Volume = 72 cubic centimeters

Hence the volume of the given prism as shown in the diagram is 72 cubic centimeters

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