A wardrobe has 3 pants , 5 shirts , and 7 ties .

The number of total possible outfits is 15 .

True

False

254.47cm^2

Step-by-step explanation:

A= pi x 3x3

= 9pi

x2 (there is 2 circles)

18pi

C=pi x D

= pi x 6

= 6pi

Width of rectangle wrap perfectly around the circle, so the circumference of 6pi will become the width of the rectangle

Rectangle:

A=lxw

= 10.5 x 6pi

= 63pi

Add up:

63pi + 18pi = 81pi

81pi = 254.469.....

Round to nearest 100th would be 254.47cm^2

(100th is 1/100= 0.01)

Hope this helps!

Answer: x<2

Step-by-step explanation:

Add 3 to both sides: x<2

The profitability index for Aryan Company's new machine investment is 0.96.

The profitability index is a ratio used to measure the profitability of an investment by comparing the present value of future cash flows to the initial investment cost. It is calculated by dividing the present value of future cash flows by the initial investment cost.

In this case, the present value of the future cash flows can be calculated by multiplying the expected cash flow of $24,000 per year by the present value of an annuity for 3 periods at 12%, which is given as 2.40183. Therefore, the present value of future cash flows is $57,644.32.

The initial investment cost is $60,000.

To calculate the profitability index, we divide the present value of future cash flows by the initial investment cost: $57,644.32 / $60,000 = 0.96074. Rounded to one decimal place, the profitability index is 0.96.

The profitability index indicates that the present value of the expected future cash flows is approximately 96% of the initial investment cost. Generally, a profitability index greater than 1 indicates a favorable investment, while a value less than 1 suggests an unfavorable investment. In this case, the profitability index of 0.96 suggests that the investment is not expected to be highly profitable.

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The complete question is :

Aryan Company p o buy a new machine for $60.000 that will have an estimated useful site of 3 years and no savage value. The expected cash tom $24,000 annually Company has a cost of capital of 12% Given that the present value of $1 after 3 periods at 12% 071172 and the present valu of an annuity for 3ds at 12% is 2.40183, the profitability index is

1.96

1.04

0.28

0.96

0.04

Answer:

Step-by-step explanation:

32 + 42 + x = 180

x = 106

C(4) is the same cost as D(4) but because D(4) offeres unlimited data unlike C(4) that offers ofly 4GB of dats for same amount, then Company D's plan is cheaper.

We are told that the cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used.

The plan from Company D costs $80 per month, with unlimited data.

Thus, the monthly cost in Company C for using g gigabyte of data will be;  C(g) = 10 + 15g ........ (1)

Now, the monthly cost in Company D for using g gigabyte of data will be  

D(g) = 70 ......... (2)

Now, from equation (1), the statement C(4) is;

C(4) = 10 + 15(4) = 70, which is the monthly charges of Company C for using 4 Gigabyte of data usage.

Thus, we conclude that the cost the cost is the same for 4GB of data for Company C. However, this means that company D is the better plan because it provides more data for a lesser amount.

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Step-by-step explanation:

what is B in your question ? you did not tell us.

since you mention "fraction", I assume B is the slope of a line ?

if that is the case, please remember, the slope is (y coordinate change / x coordinate change) when going from one point of the line to another.

the way you phrased it I assume the slope was originally negative.

that means either the y difference or the x difference was negative (but not both, otherwise it would have been a positive fraction again).

let's look at what happens, when things get reflected across the y axis :

things go from the left side (negative x values) to the right side (positive x values) of the y axis or vice versa.

and things stay on the same side of the x axis (either above the x-axis with positive y values, or below the x-axis with negative y values).

so, that reflection causes the x values to flip their sign, but the y values stay the same.

so, if y was originally negative, then x must have been positive. after the reflection x is now negative too, that makes the y/x fraction -/- = +/+ positive.

if y was originally positive, then x must have been negative. after the reflection x is now positive too, that makes the y/x fraction +/+ positive.

therefore, in every case, the reflected slope fraction must be positive.

Answer:

48

Step-by-step explanation:

120 divided by 2.5 = 40

Answer:

48 miles per hour

Step-by-step explanation:

to find the average speed, the equation is speed = distance ÷ time

120 ÷ 2.5 = 48 miles per hour

The form of the given conditional argument is Modus Ponens.

The form of the given conditional argument "If you don't pay them, they won't protect you. You have paid them, so they will protect you" is Modus Ponens. It is a valid argument form of deductive reasoning that allows us to infer the consequent from the antecedent in the form of an "if-then" statement. In other words, if the antecedent of a conditional statement is true, then the consequent must also be true.

In the given statement, the antecedent is "If you don't pay them, they won't protect you" and the consequent is "they won't protect you." The second premise, "You have paid them," affirms the antecedent, therefore the consequent "they will protect you" can be inferred from the antecedent through the use of Modus Ponens.

The conditional argument is in the form of Modus Ponens, which is a valid argument form of deductive reasoning. It infers the consequent from the antecedent in the form of an "if-then" statement.

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It is FALSE to state that if a researcher is interested determining if there is a relationship betweenethnicity and job type, then a Chi- Square Goodness of Fit test can be   used.

A Chi-Square Goodness of Fit test is not   appropriate for determining the relationship between ethnicity and job type.

This test is used to assess thedistribution of categorical variables within a single population or sample,   comparing observed frequencies with expected frequencies.

To examine the relationship between ethnicity and job type, a Chi-Square test of independence   or another suitable statistical test, such as logistic regression,would be more appropriate.

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Since, The equation of the height with the time is provided and the balloon is thrown upwards against gravity from 5 feet, The answer is 0.255 sec.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.

initial height = 5

final height =20

height to travel =20-5 =15

\(15 = 16t^{2}+35t+5\\16t^{2}+35t-10 =0\)

solving we get, t = 0.255 or -2.44

since, -2.44 is not possible,

t = 0.255 seconds.

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Answer:

Its 4.3

Step-by-step explanation:

If you graph it, y is the height an t is the time. At a height of 0 it had been in the air for 4.3 seconds

Given the function f(x)=sin(2πx), with x = 0.3, f(x) = 0.951057. The objective is to approximate the value of f(0.2) using the first two terms in the Taylor series and Vx=0.1.

We know that the Taylor series for a function f(x) can be written as:f(x)=f(a)+f′(a)(x−a)+f′′(a)2(x−a)2+…+f(n)(a)n!(x−a)n+…The first two terms of the Taylor series are given by:f(x)=f(a)+f′(a)(x−a)The first derivative of f(x) is given by:f′(x)=2πcos(2πx)On substituting x = a = 0.1, we get:f′(0.1) = 2πcos(2π * 0.1) = 5.03118603447The value of f(x) at a=0.1 is given by:f(0.1) = sin(2π * 0.1) = 0.587785252292With a=0.1, the first two terms of the Taylor series become:f(x)=0.587785252292+5.03118603447(x−0.1) = 0.587785252292+0.503118603447x−0.503118603447×0.1Using x=0.2 and substituting the values of a and f(a) in the equation above, we get:f(0.2)=0.587785252292+0.503118603447*0.2−0.503118603447×0.1=0.712261After approximating the value of f(0.2) using the first two terms in the Taylor series,

we can conclude that the value of f(0.2) = 0.712261 with a = 0.1, with an error of approximately 0.012796.

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Answer:

what do you want the slope? The y cordinate is where the points are on the y axis.

Step-by-step explanation:

The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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Answer:322.6

Step-by-step explanation:

322.6

The equation y = 2x perfectly fits the given points (-1,2), (0,0), (0.1,1), (1,2), as the coefficients are determined to be a = 0, b = 2, and c = 0. This means that the equation represents a straight line passing through the origin (0,0), with a slope of 2.

To fit the given points (-1,2), (0,0), (0.1,1), (1,2) to the equation y = a + bx + cx², we can use the method of least squares regression to find the values of the coefficients a, b, and c that minimize the sum of the squared differences between the actual y-values and the predicted values from the equation.

Using the least squares regression, we can solve a system of linear equations formed by substituting the x and y values from the given points into the equation. In this case, we have four equations:

2 = a - b + c

0 = a

1 = a + 0.1b + 0.01c

2 = a + b + c

Solving these equations, we find that a = 0, b = 2, and c = 0.

Therefore, the equation that best fits the given points is y = 2x, with a = 0, b = 2, and c = 0.

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Answer:

72%

Step-by-step explanation:

Express her score as a fraction and multiply by 100% to make the percentage

\(\frac{18}{25}\) × 100% = 18 × 4% = 72%

Answer:

72%

Step-by-step explanation:

Total score of Parveen in her math test

= 18/25

Total percentage she scored in her math test

= (18/25×100)%

= (18×4)%

= 72%

Hence, Parveen scored 72% in her math test.

Step-by-step explanation:

The slope formula of the line passing through the points (x_1,y_1) and (x_2,y_2) can be found by:

m={y_2-y_1}/{x_2-x_1}

So to find the slope of a line segment joining the points ( 2, - 5) and (- 2, 4).

First, label the points as x_1 = 2, y_1 = - 5, x_2 = -2 and y_2 = 4

m={y_2-y_1}/{x_2-x_1} =

= {9}/{-4}

= {-9}/{4}

So, the slope (m

) = -9/4.

Answer:

its 5.

Step-by-step explanation:

Answer:

a =2 5

b =50

Step-by-step explanation:

The remaining area of the pizza, after one-eighth was eaten, is 175.84 square inches.

To find the remaining area of the pizza, we first need to calculate the total area of the pizza and then subtract the portion that was eaten.

The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius. In this case, we have the diameter of the pizza, which is 16 inches. The radius is half the diameter, so the radius would be 8 inches.

Using the formula, we can calculate the total area of the pizza:

A = 3.14 * (8^2)

A = 3.14 * 64

A = 200.96 square inches

Now, if one-eighth of the pizza was eaten, we need to calculate the portion that was consumed. To do this, we divide the total area by 8:

Portion eaten = 200.96 / 8

Portion eaten = 25.12 square inches

To find the remaining area, we subtract the portion eaten from the total area:

Remaining area = Total area - Portion eaten

Remaining area = 200.96 - 25.12

Remaining area = 175.84 square inches

Therefore, there are 175.84 square inches of pizza remaining.

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Answer:

31.2

Step-by-step explanation:

Answer:

13.3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer:

3x−6=x+4

Step 1: Subtract x from both sides.

3x−6−x=x+4−x

2x−6=4

Step 2: Add 6 to both sides.

2x−6+6=4+6

2x=10

Step 3: Divide both sides by 2.

2x2=102

x=5

The most significant factor contributing to the recent breakthroughs in AI research, such as the Year of Deep Learning in 2016, can be attributed to the advancements in hardware technology.

Examples are: Training deep neural networks, Real-time inference.

Over the past few decades, there have been significant improvements in the performance and capabilities of computer processors, memory, and storage devices.
These advancements in hardware have allowed researchers and developers to train and run complex AI models more efficiently and effectively. For example, the introduction of Graphics Processing Units (GPUs) and specialized AI chips like Tensor Processing Units (TPUs) have significantly accelerated deep learning algorithms, enabling the processing of massive amounts of data in parallel.
Moreover, the availability of high-performance computing resources, such as cloud-based platforms, has democratized access to powerful computational resources. This has allowed researchers and developers from various backgrounds to experiment with and apply AI techniques to their respective fields.
Some examples to illustrate the impact of hardware advancements on AI research:
1. Training deep neural networks: Deep learning models consist of multiple layers and require immense computational power to train. In the past, training these models could take weeks or even months. However, with the introduction of powerful GPUs, training times have been greatly reduced. For instance, researchers at OpenAI trained a language model called GPT-3 with 175 billion parameters using thousands of GPUs, resulting in a highly capable natural language processing model.
2. Real-time inference: Real-time applications, such as autonomous vehicles or speech recognition systems, require quick decision-making based on input data. Hardware advancements have made it possible to deploy complex AI models on edge devices, like smartphones or IoT devices, enabling real-time inference without relying on cloud servers. For example, smartphones now have dedicated AI accelerators that can process and analyze images or perform voice recognition tasks locally.

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Solution

Step1

The AA criterion for triangle similarity states that if two triangles have two pairs of congruent angles, then the triangles are similar.

Step2

Two pairs angles are equal, hence they are similar

Answer

Are similar by AA

The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

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