Which expression is equivalent to 76a^2 b^3 / 19 a b

Answers

Answer 1

\(\\ \rm\Rrightarrow \dfrac{76a^2b^3}{19ab}\)

Use exponent rule

a^m÷a^n=a^{m-n}

\(\\ \rm\Rrightarrow \dfrac{76}{19}a^{2-1}b^{3-1}\)

\(\\ \rm\Rrightarrow 4a^1b^2\)

\(\\ \rm\Rrightarrow 4ab^2\)


Related Questions

Which of the following allows for someone to draw conclusions about a population from the information collected in a population sample? a. magnitude statistics b. central tendency c. inferential statistics d. effect size

Answers

The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

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rewrite in simplest terms −6(−0.8w−0.8)+3(−0.9w−0.3)

Answers

(4.8w+4.8)+(2.7w+2.7)

Answer:

2.1w + 3.9

Step-by-step explanation:

is the point below which a specified percentage of the observations fall.

Answers

In mathematics, the point below which a specified percentage of the observations fall is commonly referred to as the percentile.

A percentile is a measure that indicates the relative position of a particular value within a dataset.

For example, if a value is at the 80th percentile, it means that 80% of the observations in the dataset are below that value, and only 20% of the observations are above it.

Percentiles are often used to analyze and understand the distribution of data, especially in fields such as statistics, probability, and data analysis. They provide insights into how individual data points compare to the overall dataset and help identify outliers or extreme values.

A percentile is a statistical measure that indicates the relative standing of a particular value within a dataset. It represents the point below which a specified percentage of the observations or data points fall. Percentiles are primarily used to understand the distribution of data and analyze how individual values compare to the overall dataset.

To calculate a percentile, the dataset is arranged in ascending order, from the smallest value to the largest value. The position of a specific percentile is then determined based on the percentage of data points below it. For example, the 75th percentile represents the value below which 75% of the data points fall.

Percentiles are commonly used in various fields, including statistics, probability, and data analysis. They provide valuable insights into the spread, variability, and distribution of data. Here are a few key points to consider:

1. Median: The median is the 50th percentile, representing the value that divides the dataset into two equal halves. It is a measure of central tendency and provides information about the middle point of the distribution.

2. Quartiles: Quartiles divide the dataset into four equal parts. The first quartile, or the 25th percentile (Q1), represents the value below which 25% of the data points fall. The third quartile, or the 75th percentile (Q3), represents the value below which 75% of the data points fall. The difference between Q3 and Q1 is known as the interquartile range (IQR) and provides insights into the spread of the middle 50% of the data.

3. Percentile Ranks: Percentile ranks indicate the percentage of data points that are below a specific value. For example, if a student scores in the 80th percentile on a standardized test, it means they performed better than 80% of the test-takers.

4. Outliers: Percentiles can be useful in identifying outliers, which are data points that significantly deviate from the rest of the dataset. Extremely high or low percentiles may indicate unusual or extreme values that warrant further investigation.

5. Normal Distribution: In a normal distribution, the 50th percentile (median) coincides with the mean and mode, and specific percentiles have known standard deviations from the mean (e.g., the 68-95-99.7 rule).

Percentiles are versatile tools for summarizing and analyzing data, providing valuable insights into the distribution and relative positions of individual values. They enable comparisons and help make informed decisions based on the characteristics of a dataset.

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i need help with only partB

i need help with only partB

Answers

The second step when evaluating the given expression is to subtract 6 from 18, simplifying the expression within the parentheses to 12.

The second step when evaluating the expression 3 + (18 - 6) + 20 + 4 is to perform the operation within the parentheses, specifically the subtraction inside the parentheses.

Let's break down the expression step by step:

1. Start with the expression: 3 + (18 - 6) + 20 + 4

2. The expression inside the parentheses is 18 - 6. To simplify this, we subtract 6 from 18, which equals 12.

3. Now, we rewrite the expression with the simplified part: 3 + 12 + 20 + 4

4. At this point, the expression consists of addition operations only. When evaluating an expression with multiple addition operations, we start from the left and work our way to the right, performing the addition operation between two numbers at a time.

5. The first addition operation is between 3 and 12. Adding these two numbers gives us 15.

6. We rewrite the expression again, replacing the addition of 3 and 12 with the result: 15 + 20 + 4

7. Now, we perform the next addition operation between 15 and 20, resulting in 35.

8. We rewrite the expression once more: 35 + 4

9. Finally, we perform the last addition operation between 35 and 4, resulting in 39.

Therefore, the second step when evaluating the given expression is to subtract 6 from 18, simplifying the expression within the parentheses to 12.

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Help me figure this out please

Help me figure this out please

Answers

Only relations a, c and e are functions.

Here, we are given 6 relations and we need to determine which of them are function.

The basic property of a function is that a function from a set X to a set Y assigns to each element of X exactly one element of Y.

a. In this relation all elements in A are assigned only one value in B, thus, this relation is a function.

b. In this relation -1 in A has two values in B, that is, 5 and 2. Thus, this relation is not a function.

c. In this relation all elements of the first set are assigned only one value in set 2, thus, this relation is a function.

d. In this relation, 9 in set 1 has two values in set 2, that is, 9 and 5. Thus, this relation is not a function.

e. In this, relation, from the graph, we can see that all the x values have exactly one y value corresponding to them. Thus, the relation is a function.

f. In this relation we see that when x = 2, y can be 2 or 7. Thus, this relation is not a function.

Hence, we conclude that only relations a, c and e are functions.

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The area of a rectangle is 33y^2 , and the length of the rectangle is less than double the width. Find the dimensions of the rectangle.

Answers

The width of the rectangle is given by √[(33y²)/2], and the length is less than √(132y²).

To find the dimensions of a rectangle when given its area and a condition on the length and width relationship, we can follow a step-by-step approach. Let's solve this problem together.

Area of the rectangle is given by a Quadratic Equation = 33y²

Length of the rectangle < 2 times the width

Let's assume:

Width of the rectangle = w

Length of the rectangle = l

We know that the area of a rectangle is given by the formula A = length × width. So, in this case, we have:

33y² = l × w   ----(Equation 1)

We are also given that the length of the rectangle is less than double the width:

l < 2w   ----(Equation 2)

To solve this system of equations, we can substitute the value of l from Equation 2 into Equation 1:

33y² = (2w) × w

33y² = 2w²

w² = (33y²)/2

w = √[(33y²)/2]

Now that we have the value of w, we can substitute it back into Equation 2 to find the length l:

l < 2w

l < 2√[(33y²)/2]

l < √(132y²)

Therefore, the dimensions of the rectangle are:

Width (w) = √[(33y²)/2]

Length (l) < √(132y²)

In summary, the width of the rectangle is given by √[(33y²)/2], and the length is less than √(132y²).

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If you have 80 tickets for the fair and each ride costs 5 tickets, how many rides can you go on?​

Answers

Answer:

16

Step-by-step explanation:

80/5=16

Answer:

16

Step-by-step explanation:

80 divided by 5 is 16

Find the inverse function of y=5x. ​

Answers

Answer:

x/5

Step-by-step explanation:

y=5x

interchange the variables x and y

x=5y

Solve x=5y for y

y=x/5

The measure of L in triangle LMN is 36°. The measure of M is 75°. What is the measure of N?
A.
111°
B.
39°
C.
69°
D.
249°

Answers

Answer:

C.  69°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

two of the angles are given to find the third one we subtract their sum from 180

180 - (36+75) = 69 degrees

A can in the shape of a cylinder has a diameter of 12 inches and a height of 14 inches. Which measurement is closest to the lateral surface area of the can in square inches?

Answers

Answer:

1583 in²

Step-by-step explanation:

Radius r = 12/2 = 6 inches

Height h = 14 inches

Volume = πr²h = 3.14 x 6² x 14 = 1583 in²

A 5th order system has roots at s=−5±3j,s=−15±5j, and s=−30. a. Determine an approximate system based on the dominant roots. b. From the dominant root(s), determine the damping ratio, ζ, natural frequency, ωn, time constant, τ, and damped frequency, ωd.

Answers

a. The approximate system based on the dominant roots is a 2nd order system.

b. The damping ratio (ζ) is approximately 0.5, the natural frequency (ωn) is approximately 3.16 rad/s, the time constant (τ) is approximately 0.316 s, and the damped frequency (ωd) is approximately 2.98 rad/s.

a. In a 5th order system, the dominant roots are the roots with the largest real part. In this case, the dominant roots are s = -5±3j, s = -15±5j, and s = -30. Since the roots at s = -5±3j and s = -15±5j have imaginary components, they contribute to the oscillatory behavior of the system. Therefore, we can approximate the system based on the dominant roots as a 2nd order system.

b. The roots at s = -5±3j and s = -15±5j can be represented by the following general form of the characteristic equation: s^2 + 2ζωns + ωn^2

Comparing this with the given roots, we can determine the values of ζ and ωn:

For the root s = -5±3j: Real part = -5 Imaginary part = ±3 We can find the damping ratio (ζ) and natural frequency (ωn) using the following formulas: ζ = -Real part / (2ωn) ωn = √(Real part^2 + Imaginary part^2) Substituting the values, we get: ζ = -(-5) / (2 × 3) ≈ 0.833 ωn = √((-5)^2 + 3^2) ≈ 5.83

For the root s = -15±5j: Real part = -15 Imaginary part = ±5 Using the same formulas as above, we get: ζ = -(-15) / (2 × 5) ≈ 1.5 ωn = √((-15)^2 + 5^2) ≈ 15.13

Since we are approximating the system based on the dominant roots, we will use the values of ζ and ωn from the root with the largest real part, which is s = -15±5j.

The time constant (τ) can be calculated using the formula: τ = 1 / (ζ × ωn) Substituting the values, we get: τ = 1 / (1.5 × 15.13) ≈ 0.044 s

The damped frequency (ωd) can be calculated using the formula: ωd = ωn × √(1 - ζ^2) Substituting the values, we get: ωd = 15.13 × √(1 - 1.5^2) ≈ 2.98 rad/s

a. The approximate system based on the dominant roots is a 2nd order system.

b. From the dominant root at s = -15±5j, the damping ratio (ζ) is approximately 1.5, the natural frequency (ωn) is approximately 15.13 rad/s, the time constant (τ) is approximately 0.044 s, and the damped frequency (ωd) is approximately 2.98 rad/s.

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High interest rates make it difficult for people to pay off credit card debt in a reasonable period of time. The interest I (in dollars) paid on a $10,000 debt over 3 years when the interest rate is r% can be approximated by the equation shown below.†
I
175.393
+ 0.663 = r
If the credit card interest rate is 23.6%, find the amount of interest paid during the 3 years.

Answers

Answer:

Step-by-step explanation:

We are told that the equation is for a 3 year debt, which is also the period over which the . This means that we can use the equation.

(I/175.393) + 0.663 = r

We are given r = 23.6%

Plugging this vakue in for r gives;

l/175.393 + 0.663 = 23.6

l/175.393 = 23.6 - 0.663

l/175.393 = 22.937

I = 175.393 x 22.937

I = $4022.99, which is approximately

$ 4023


Hello, I need help with my work, someone ANYONE please help me, you will make my day if you help me.

Hello, I need help with my work, someone ANYONE please help me, you will make my day if you help me.

Answers

Answer:

2.5, 3, 6, 9, 2.8, 6, 1.5

Is this what you're asking for?

Step-by-step explanation:

compute the mirr statistic for project j if the appropriate cost of capital is 10 percent. (do not round intermediate calculations and round your final answer to 2 decimal places.)

Answers

To compute the Modified Internal Rate of Return (MIRR) statistic for Project J, we need the cash inflows and outflows associated with the project and the appropriate cost of capital. Unfortunately, the specific cash flows for Project J have not been provided in your question.

To calculate the MIRR, we need to know the cash inflows and outflows for each period of the project and their respective timing. With this information, we can calculate the present value of the cash inflows and outflows at the appropriate cost of capital.

Once we have the present value of the cash inflows and outflows, we can determine the MIRR using the following steps:

Compute the future value (FV) of all positive cash inflows using the appropriate cost of capital (10% in this case).

Compute the future value (FV) of all negative cash outflows using the project's reinvestment rate, which is typically different from the cost of capital.

Calculate the net future value (NFV) by subtracting the future value of the cash outflows from the future value of the cash inflows.

Calculate the MIRR by finding the discount rate that equates the present value of the terminal value (FV of positive cash flows) to the present value of the initial outflow (FV of negative cash flows).

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I NEED HELP ASAP PLS HURRY

I NEED HELP ASAP PLS HURRY
I NEED HELP ASAP PLS HURRY

Answers

Answer: C

Step-by-step explanation: The slope of Function A is 6 and the slope of Function B is 5.

Selection two: solving two step equations (7 of 10) 20-n=48

Answers

N= 28! 20-28=48 (also the same as 20+-28=48)
Please Mark BRAINLIEST!

Carlos ran an experiment with bean plants. He gave one plant less light and one plant more
light. The plant that got less light grew 2 inches. The plant that got more light grew 3 times
as tall as the plant that got less light.
How many inches did the plant that got more light grow?

Answers

Answer:

it grew 6 inches. 3x2=6.

Solve the system by substitution. y= y= \,\,-2x+1 −2x+1 -9x-2y= −9x−2y= \,\,3 3

Answers

Using substitution method of simultaneous linear equation the results are x = -1 and y = 3

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here,

Substitution method of simultaneous linear equation is used

y = -2x + 1

-9x - 2y =3

Putting the value of y in the second equation

-9x - 2(-2x + 1) = 3

-9x +4x -2 = 3

-5x = 3 + 2

-5x = 5

\(x = -\frac{5}{5}\\x = -1\)

Putting the value of x in the first equation,

\(y = -2 \times -1+1\\y = 3\)

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2) Calculate the perimeter and area of the following shapes. Put the answer in pi notation
and rounded to the nearest tenth.

Height of Square- 5ft

Answers

The area of the square is 25ft² and the perimeter is 20ft.

How to illustrate the area?

It's important to note that the area of a square is calculated as:

= Side ²

The perimeter is calculated as:

= 4 × Side

From the information given, the side is 5ft. The area will be:.

= 5 × 5

= 25ft²

The perimeter will be:

= 4 × Sode

= 4 × 5ft.

= 20 feet

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HELP PLZ NO ONE WANTS TO HELP MR PLZ HELP DUE IN 15 MINUTES

HELP PLZ NO ONE WANTS TO HELP MR PLZ HELP DUE IN 15 MINUTES

Answers

Answer:

no its not a function

Step-by-step explanation:

Answer:

It is not a 1 to one function

2 = 2(m − 8) − 2
m =

Answers

Use distributive property
2 = 2m - 16 - 2
Simplify
2 = 2m - 18
Add 18
20 = 2m
m = 10
2 = 2m - 16 - 2
-16 - 2 = -18
2 = 2m - 18
2 = 20 - 18
m = 10

the standard deviation is a resistant measure of spread. t/f

Answers

True, the standard deviation is a resistant measure of spread.

The standard deviation is calculated as the square root of the variance of the data set. Variance is calculated as the average of the squared differences between each data point and the mean of the data set. The standard deviation is the square root of this average.

In mathematical terms, the standard deviation can be calculated using the following formula:

σ = √(1/n ∑(x - μ)²)

Where σ is the standard deviation, n is the number of data points in the data set, x is the value of the i-th data point, and μ is the mean of the data set.

The standard deviation is an important measure because it gives an idea of how much the individual values in a data set differ from the mean.

In summary, the standard deviation is a resistant measure of spread because it gives a robust measure of the spread of the data in a set and is not easily influenced by outliers or extreme values.

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The function f(x) = 2x when evaluated for f(2) is:
Approximately 22
Approximately 7
Approximately 17
None of the choices are correct

Answers

Answer:

D

Step-by-step explanation:

The symbol on the right says that if there is an x on the right side of the equation, Then substitute a 2 for it.

f(x) = x

f(2) = 2*2 = 4

D

None of the other answers offered are correct.

what is the perimeter of a rectangle with a height of 8 units and a length of 11 units?​

Answers

Answer:

38

Step-by-step explanation:

Formula for perimeter of a rectangles is 2 times the sum of the height and the length. The height plus the length is 19, and 2*19 = 38

There are 28 students at a Halloween party, 12 of the students are boys. What is the ratio of students to girls at the party?

Group of answer choices

28:12

28:16

Answers

Answer:

28:16

Step-by-step explanation:

Answer:

28:16

Step-by-step explanation:

28-12 = 16

12 is the number of boys

16 is the number of girls

Therefore, 28:16 is the answer.

Hope this helps!

usually, data collection in a functional analysis is based on a. duration b. frequency c. momentary time sampling

Answers

The correct answer is b. frequency.

Data collection in a functional analysis typically involves recording the frequency of a target behavior. In functional analysis, the focus is on understanding the function or purpose of a behavior, and frequency data helps to identify patterns and determine the relationship between the behavior and environmental events.

During a functional analysis, various conditions are manipulated to assess how they impact the occurrence of the behavior. The frequency of the behavior is typically recorded within each condition to determine if there are differences in its occurrence based on the specific environmental variables being manipulated.

While duration and momentary time sampling are also data collection methods used in behavioral analysis, they are not specifically associated with functional analysis. Duration refers to measuring the length of time a behavior occurs, while momentary time sampling involves recording whether a behavior is occurring or not at specific intervals of time.

In functional analysis, frequency data is typically the primary method for collecting and analyzing data to understand the relationship between behavior and environmental variables.

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Final answer:

Data collection in a functional analysis is usually based on three components: duration, frequency, and momentary time sampling. Duration observes the amount of time a behavior occurs. Frequency measures how often a behavior occurs. Momentary time sampling observes the existence of behavior at specified time intervals.

Explanation:

In the context of a functional analysis, typically the data collection methods revolve around three primary types: duration, frequency, and momentary time sampling.

Duration refers to the total amount of time that a behavior happens. It generally is measured from the moment the behavior begins until it ends. It's important when the length of time that the behavior occurs can impact its functionality.

Frequency records how often a behavior occurs within a set observational period. It’s used when the number of times the behavior occurs is the important aspect to measure.

Momentary time sampling is a method of measuring behavior in which the existence or nonexistence of behaviors are recorded at precisely specified time intervals. This process involves observing whether the behavior occurs or does not occur at the moment the interval ends. This method is beneficial as it does not need continuous observation.

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Find the greatest common factor of the following monomials35w^6 14w^5 10w

Find the greatest common factor of the following monomials35w^6 14w^5 10w

Answers

As per given by the question,

There are given that the monimials,

\(35w^6,14w^5,\text{ 10w}\)

Now,

Find the common factor of

So,

\(\begin{gathered} 35w^6=5\times7\times w\times w\times w\times w\times w\times w \\ 14w^5=2\times7\times w\times w\times w\times w\times w \\ 10w=2\times5\times w \end{gathered}\)

Now,

The greatest common factor is,

For the greatest common factor, there are given w in all the terms and 7 is common for first and secon and 5 common for first and third.

So, for greatest common factor, value matched in all the terms.

Then,

Hence, the greatest common factor is w.

State how the triangles are congruent using SSS, SAS, ASA, AAS, or
HL. If they are not congruent, type NOT.

State how the triangles are congruent using SSS, SAS, ASA, AAS, orHL. If they are not congruent, type

Answers

Answer:

SSS

Step-by-step explanation:

Since \(\overline{AD} \cong \overline{AD}\) by the reflexive property, there are three pairs of congruent sides.

Julie has a square-shaped driveway with an area of 256 square feet. What are the dimensions of the driveway?

A. 64ft x 4ft

B . 15ft x 15ft

C. 16ft x 16ft

D. 32ft x 8ft

Answers

Answer:

16ft x 16ft

Step-by-step explanation:

Square shaped, so side lengths are all the same size, so 16ft by 16ft. 256 would also need to end in a 5 to be a product of 15 by 15 but would end in six for 16x16 (5*5 and 6*6 will show last digit of the number)

In math class, Sam correctly multiplied 3. 625×10-8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product? A -16 B -10 C -7 D -5

Answers

The exponent in Sam’s product is -5.

What does a math exponent mean?

When a number is multiplied by itself, it is said to have an exponent. For instance, 2 to the third (written as 23) indicates that 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. A number raised to the power of one is itself, so keep that in mind.

Let us first multiply 500 with 3. 625×10-8

3. 625×10-8  × 500 = 1812.5 × 10⁻⁸

Then Sam has reported this answer in scientific notation

The format for writing a number in scientific notation is

(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).

In 1812.5 × 10⁻⁸  we move the decimal 3 times to left side

Since the decimal is moved left side, we multiply by 10³

1812.5 × 10⁻⁸ = 1812.5 × 10⁻⁸ × 10³

1812.5 × 10⁻⁸  = 1812.5 × 10⁻⁵

Exponent is a quantity representing the power to which a given number or expression is to be raised

1812.5 × 10⁻⁵ exponent is -5

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Value of x in 4,5,x,480 what is an example of an adverb phrase/clause following any line in a delta-connected system back to the connection point shows that the current supplied to that line is supplied by ___ coil(s). Lori is writing a five-page paper about ways to create a healthy diet. Which of these topics is the most specific?OA. Diet Programs and MethodsOB. All the Sources of ProteinOC. Health Benefits of QuinoaOD. Reasons You Might be HungryHurry plss what is a relational data model, provide the general properties of relations, integrity constraints, and the characteristics of well-structured relations. Y varies directly as x, and y=9 when x = 27 solve the given initial-value problem. d2x dt2 + 2x = f0 sin t, x(0) = 0, x '(0) = 0 Both Lam and Bosch employed symbolic elements in their work. What role do you think symbols can play in helping to visualize imaginative worlds? How can one read the symbolism (iconography)? Determine the unit rate for every 2 hours of studying, i take a 15 minute break. Explain your answer. Two friends make baked goods for a living. They buy the ingredients and follow their own recipes. Which basic economic question do they still need to answer?. The top of a 16-ounce can of a drink is three times thicker than the sides and bottom (SOthat the flip-top opener will work properly), and the can has a volume of 473 cubiccentimeters. What should the radius and height of the can be in order to use the leastpossible amount of metal? [ Assume that the entire can is made from a single sheet of#metal, with three layers being used for the top.]A) r = 3 cm; h = 16.73 cmB)=3.5 cm; h = 12.29 cmC)=3.35 cm; h = 13.41 cmD)= 4.35 cm; h = 14.41 cmE)= 6.7 cm; h= 3.35 cm A negative charge of -0.00040 C and a positive charge of 0.00092 C are separated by 0.4 m. What is the force between the two charges? brennan, a, chick, se, davies, r. a taxonomy of model structures for economic evaluation of health technologies. Suppose that instead of leasing the Accord, Nigel decides to buy the Honda Accord for $22,180. Would this contract need to be in writing to be enforceable? In classical conditioning how long the organism takes to learn an association is called: Acquisition Generalization Discrimination Extinction Bartone Company counted and reported the ending inventory on December 31,2020 at P2,500,000. None of the following items were included when the total amount of the ending inventory was computed: - Goods located in the entity's warehouse that are on consignment from another entity 200,000 - Goods sold by the entity and shipped FOB destination was in transit on Dec. 31,2020 and received by the customer on Jan. 2, 2021300,000. - Goods purchased by the entity and shipped FOB shipping point were in transit on Dec. 31,2020 and receive by the entity on Jan. 2, 2021450,000 - Goods sold by the entity and shipped FOB shipping point were in transit on Dec. 31,2020 and received by the customer on Jan. 2, 2021500,000 What is the correct amount of inventory on December 31,2020? During the initial setup of a new switch, which of the following configuration tasks should be performed? (Select three.)Set passwords for the console, virtual terminal (TTY) ,and enable mode.Set an IP address for remote management.Set the default gateway for remote management. PLEASE HELP ME I WILL MARK U AS THE BRAINIEST ANSWER! 1.Imagine that you are stuck in an island. Truffle of numerous kinds grow extensively all over the island, but there is no other food. Some of the truffles have been identified as poisonous and others as not. You are the only one on the island. You have 11 truffles and you have identified truffles A, B, C, D, E, F, G and H are poisonous or not. The edibility of truffle U, V and W are still unknown. Consider a sample dataset as shown below:a.What is the entropy of edible?b.Which attribute should you choose as the root of a decision tree? Hint: You can figure this out by looking at the data without explicitly computing the information gain of all four attributes.c.What is the information gain of the attribute you chose in the previous question?d.Build an ID3 decision tree to classify truffles as poisonous or not. Show and present your work step by step. (Tips: You can refer to this link: https://towardsdatascience.com/decision-trees-for-classification-id3-algorithm-explained-89df76e72df1).e.Classify truffles U, V and W using the decision tree as poisonous or not poisonous. Answer all parts. i will rate your answer only if you answer allcorrectly.Consider the definite integral. 3 LUX (18x 1)ex dx Let u = 9x2 x. Use the substitution method to rewrite the function in the integrand, (18x 1)e9x?-*, in terms of u. integrand in terms of