WILL GIVE BRAINIEST!! PLEASE HELP!
The function L(x) represents the length of a rectangle containing x inch sections. The function W(x)
represents the width of the rectangle. Which process can be used to find the area of the rectangle if each
section is 3 inches?

Check all that apply
A). (L + W)(3)

B). (L • W)(3)

C). [L(W)]^2

D). L(3) • W(3)

E). L[W(3)]

Answer:

B: (-8/3 , 8)

Step-by-step explanation:

A (x₁,y₁) (4,-7) and C (x₂,y₂) (-4,11), B (x,y)

AB (a):BC (b) = 5:1

x = (bx₁ + ax₂) / (a+b) = (1*4+5*-4) / (5+1) = -16/6 = - 8/3

y = (by₁ + ay₂) / (a+b) = (1*-7+5*11) / (5+1) = 48/6 = 8

B: (-8/3 , 8)  

The equation r · sin θ = 10 in rectangular coordinates is equal to y = 10.

Herein we find the representation of a equation in polar coordinates, whose form in rectangular coordinates. This can be done by using the following definitions:

cos θ = x / r

sin θ = y / r

Where:

Then, the equation in polar coordinates is:

r · sin θ = 10

y = 10

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Given:-

now put the value of x = 2 in eqⁿ

\( \rm{2( \: {5} \: )^{x} }\)

\( \: \)

\( \rm{2 (\: {5} \: )^{2} }\)

\( \: \)

\(2( \: 25 \: )\)

\( \: \)

\( \underline{ \boxed{ \rm \orange{ { \: 50 \: }}}}\)

\( \: \)

hope it helps! :)

\( \: \)

a) The probability of a very good poker player earning a profit (more than $0) after playing 40 hands in $100/$200 Texas Hold'em can be calculated using the normal distribution and the given mean ($1) and standard deviation ($31). b) The proportion of the time a very good poker player can expect to earn at least $500 after playing 100 hands in $100/$200 Texas Hold'em can be calculated using the normal distribution and the given mean ($1) and standard deviation ($31).

To compute these probabilities, we need to make some assumptions and use probability distribution calculations based on the given information.

a) To determine the probability of a profit after playing 40 hands, we can use the concept of the normal distribution. We need to calculate the z-score using the formula: z = (x - μ) / σ, where x is the desired profit, μ is the expected profit per hand, and σ is the standard deviation. In this case, x = $0, μ = $1, and σ = $31.

Once we have the z-score, we can use a standard normal distribution table or calculator to find the corresponding probability.

b) Similarly, to find the proportion of the time a player can expect to earn at least $500 after playing 100 hands, we need to calculate the z-score for x = $500, using the same formula as in part (a). Then, we can use the standard normal distribution table or calculator to find the corresponding proportion.

c) To determine the probability of earning a profit during a 14-hour session, we need to calculate the number of hands played, which is 20 hands per hour multiplied by 14 hours. Let's denote it as N. Then, we can calculate the mean profit for the 14-hour session by multiplying the expected profit per hand ($1) by N.

The standard deviation for the session can be calculated by multiplying the standard deviation per hand ($31) by the square root of N. Finally, we can use the normal distribution and the same z-score calculation as in part (a) to find the probability.

Please note that the above calculations assume that the profits from each hand are independent and follow a normal distribution. Real poker outcomes may deviate from these assumptions.

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The fraction shows that D. Maddy made 4 bows from the piece of ribbon and had enough left for of a bow.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case the fraction divided will be:

= 3 1/2 ÷ 3/4.

= 7/2 ÷ 3/4

= 7/2 × 4/3

= 28/6

= 14 / 3

= 4 2/3

Therefore, the correct option is D.

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Answer:

464 ft

Step-by-step explanation:

How to find out volume:

Length x Width x Height

= Volume

--

8 x 4 x 14.5 = 464 ft

Answer:

\(x = \frac{4y + 1}{3} \)

The goal is to isolate the X value. So the first step would be to add 1 to both sides, making the equation 4y + 1 = 3x.

Then you divide both sides by 3, making the equation (4y + 1)/3 = x

If you have a Y value then you'd plug it in for Y and solve for x but since there isn't one provided you're done.

The equation for the amount left after t years if half life is

and initial amount is A is,

Determine the amount left after 450 years.

Thus amount of samarium left after 450 years is 11850 grams.

Answer:

Step-by-step explanation:

for this problem we have to

3330/18=185 toothpicks for each row

Answer:

185

Step-by-step explanation:

Divide 3330 by 18.

3330 is the number of tooth pics he has, so divide by how many rows he needs, 18.

Answer:

The answer is 4

Step-by-step explanation: I did the work and it works out like that I hope this helps

The procedure of mapping continuous and infinite changes in the perceptual input onto a finite number of discrete percepts is referred as the process of perceptual categorization or discretization.

This is necessary because human perception operates with a limited capacity to process and understand complex and continuous stimuli.

By categorizing or discretizing perceptual input, our brain simplifies the information, allowing us to make sense of the world and differentiate between different perceptual experiences. This process is crucial for organizing and interpreting sensory information efficiently and effectively.

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Answer:

\(-3, -2, -0.8, -\frac{1}{10} ,\frac{1}{2}, 0.8, 7\)

Step-by-step explanation:

Given

\(7, -3, \frac{1}{2}, -0.8, 0.8, -\frac{1}{10}, -2\)

Required

Order from least to greatest

\(7, -3, \frac{1}{2}, -0.8, 0.8, -\frac{1}{10}, -2\)

Convert 1/2 and -1/10 to decimals

\(7, -3, 0.5, -0.8, 0.8, -0.1, -2\)

Negative numbers are always the least of all numbers.

In the given list, the negative numbers are:

\(-3, -0.8, -0.1, -2\)

The higher the magnitude of a negative number, the smaller it is.

--------------------------------------------------------------------------------------------

Take for instance: -7 and -8.

-8 has a magnitude of 8 and -7 has a magnitude of 7.

Because 8 > 7 (the magnitudes), then

-8 < -7

--------------------------------------------------------------------------------------------

Using the above analysis:

\(-3, -0.8, -0.1, -2\) from least to greatest is:

\(-3, -2, -0.8, -0.1\)

Considering the positive numbers:

\(7, 0.5, 0.8\)

From least to greatest, it is:

\(0.5, 0.8, 7\)

Merge the negative and the positive numbers:

\(-3, -2, -0.8, -0.1,0.5, 0.8, 7\)

Convert 0.5 and -0.1 back to fractions

\(-3, -2, -0.8, -\frac{1}{10} ,\frac{1}{2}, 0.8, 7\)

Given the dimensions of the rectangular ceiling below

Let us sketch out the image of the rectangle ceiling.

We are to solve for x, which represents the cost of garland Mia will need to reach from one corner of the ceiling to the opposite corner.

Let us now sketch out the triangular shape from the rectangle.

Using Pythagoras theorem to solve for x,

Therefore,

Hence, the cost of garland Mia will need to reach from one corner of the ceiling to the opposite corner is 87feet.

25r(cos^2Ф-sin^2Ф)-6cosФ=0

The equation in rectangular coordinates is 25x2=25y2=6x, we need to write in cylindrical coordinates

The rectangular coordinate system consists of two real number lines that intersect at a right angle

In cylindrical coordinate, x=rcosФ

y=rsinФ

z=z

25(rcosФ)^2=25(rsinФ)^2=6rcosФ

25r^2cos^2Ф-25r^2sin^2Ф=6rcosФ

25r^2(cos^2Ф-sin^2Ф)=6rcosФ

25r(cos^2Ф-sin^2Ф)-6cosФ=0

25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required equation in cylindrical coordinates.

Therefore 25r(cos^2Ф-sin^2Ф)-6cosФ=0 is the required cylindrical equation

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1. The average time it takes a customer from when they arrive at the truck until they receive their taco is 141.67 seconds.

2. The average utilization of the truck 141.67 seconds.

3. On average, there is 1 person waiting in line.

4. In order to achieve a delay probability of under 10%, a minimum of 1 server is required.

1 The arrival rate is 1 customer every 2 minutes, which is equivalent to 0.5 customers per minute. The service rate is 1 customer per 50 seconds, which is equivalent to 1.2 customers per minute (since there are 60 seconds in a minute).

2 Average Number of Customers = (0.5 / 1.2) + 1 = 1.4167.

Average Waiting Time = 1.4167 * (50 + 50)

= 141.67 seconds.

3 The average utilization of the truck is given by the formula: Utilization = Arrival Rate / Service Rate.

Utilization = 0.5 / 1.2

= 0.4167 (or 41.67%).

The average number of people waiting in line can be calculated using the formula: Average Number of Customers - Average Utilization.

Average Number of Customers - Average Utilization = 1.4167 - 0.4167

= 1.

4 Given that the desired delay probability is 10% (or 0.1), we can rearrange the formula to solve for the utilization:

Utilization = Delay Probability / (1 + Delay Probability).

=

Utilization = 0.1 / (1 + 0.1) = 0.0909 (or 9.09%).

The utilization we calculated represents the maximum utilization to achieve a delay probability of 10%. In conclusion, to achieve a delay probability of under 10%, a minimum of 1 server is required.

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a) Sample space = {36}

b) Probability of the sum of the dice is a 7 = P(E) = 6/36 = 1/6

c) Probability of the sum of the dice is at least a 7 = P(F) = 21/36 = 7/12.

We need to find, What is the size of the sample space? Probability of the sum of the dice is a 7 ?Probability of the sum of the dice is at least a 7? Solution a)Sample space is defined as the set of all possible outcomes. Suppose that you roll two 6 sided dice. So, The possible outcomes of each die is {1,2,3,4,5,6}.The total outcomes for rolling two dice are {1,1}, {1,2}, {1,3}, {1,4}, {1,5}, {1,6}, {2,1}, {2,2}, {2,3}, {2,4}, {2,5}, {2,6}, {3,1}, {3,2}, {3,3}, {3,4}, {3,5}, {3,6}, {4,1}, {4,2}, {4,3}, {4,4}, {4,5}, {4,6}, {5,1}, {5,2}, {5,3}, {5,4}, {5,5}, {5,6}, {6,1}, {6,2}, {6,3}, {6,4}, {6,5}, and {6,6}.Therefore, Sample space = {36}.b)Let E be the event that the sum of the dice is a 7.The events where the sum of the dice is a 7 are {1,6}, {2,5}, {3,4}, {4,3}, {5,2}, and {6,1}.The number of events where the sum of the dice is a 7 is 6.Therefore, Probability of the sum of the dice is a 7 = P(E) = 6/36 = 1/6.c)Let F be the event that the sum of the dice is at least a 7.Therefore, F = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1), (2,6), (3,5), (4,4), (5,3), (6,2), (3,6), (4,5), (5,4), (6,3), (4,6), (5,5), (6,4), (5,6), and (6,5)}The number of events where the sum of the dice is at least a 7 is 21.Therefore, Probability of the sum of the dice is at least a 7 = P(F) = 21/36 = 7/12.a) Sample space = {36}.b) Probability of the sum of the dice is a 7 = P(E) = 6/36 = 1/6.c) Probability of the sum of the dice is at least a 7 = P(F) = 21/36 = 7/12.

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Appropriate hypotheses for performing a significance test: Null hypothesis: The mean weight of loaves of bread produced at the bakery is equal to 1 pound. Alternative hypothesis: The mean weight of loaves of bread produced at the bakery is less than 1 pound.

Parameter of interest: The mean weight of loaves of bread produced at the bakery.b. There is some evidence for the alternative hypothesis since the p-value is 0.00806, which is less than the level of significance of 0.01. This means that the results are statistically significant, and it is unlikely to get this result due to chance alone.c. At the α level of 0.01, the conclusion would be to reject the null hypothesis since the p-value is less than the level of significance.

This means that there is sufficient evidence to support the alternative hypothesis, which is that the mean weight of loaves of bread produced at the bakery is less than 1 pound. In summary, data markers are used in charts to represent individual data points. They are often used in combination with other chart elements, such as axes, gridlines, and legends, to help viewers understand the data being presented. The column, bar, area, dot, pie slice, or other symbol in a chart that represents a single data point is a data marker. Data markers provide you with a visual representation of the data in a chart. For example, in a column chart, each column represents a single data point.

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Answer:

? 40.50

Step-by-step explanation:

90 ÷ 20 × 9 = 40.5

Answer:

cost of 9article is 40.50

hope it helps.

Answer:

-2

Step-by-step explanation:

The slope of a line can be found using the formula m = \(\frac{y_2 -y_1}{x_2 - x_1}\), where m is the slope and \((x_1,y_1)\) and \((x_2,y_2)\) are two points on the line.

From the graph we can see that (-2,1) and (0,-3) are two points on the line, so let's sub these values into our formula to find the slope:

m = \(\frac{y_2 -y_1}{x_2 - x_1}\)

m = \(\frac{1-(-3)}{-2-0}\)=\(\frac{4}{-2}\)=-2

(a) The graph of the linear functions is as attached.

(b) The equation of the linear function in slope-intercept form is; y = x

(c) The equation of the transformed function in slope-intercept form is;

y = x + 2 and y = x - 3

Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.

x is the independent variable.

y is the dependent variable.

If the linear function is; y = x,

The equation of the transformation in slope-intercept form is given as;

For translation of 2 units up, we have;

y = x + 2

For a translation of 3 units down, we have;

y = x - 3

Thus, the required graph has been attached and the solution is determined.

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\(f(f^{-1}(x))=f \left(\frac{x+6}{5} \right)=5 \left(\frac{x+6}{5} \right)-6=x+6-6=x\\\\f^{-1}(f(x))=f^{-1}(5x-6)=\frac{5x-6+6}{5}=\frac{5x}{5}=x\)

Since \(f(f^{-1}(x))=f^{-1}(f(x))=x\), the functions are inverses of each other.

The composition of functions is x, f(x) and f⁻¹(x) are inverse functions.

Inverse function is represented by f⁻¹ with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

The given functions are f(x)=5x-6 and f⁻¹(x)=(x+6)/5.

The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).

Now, h(x)=f(f⁻¹(x))

h(x)=5((x+6)/5 -6)

h(x)=x+6-6

h(x)=x

Since, the composition of functions is x, f(x) and f⁻¹(x) are inverse functions.

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To determine the number of green ladders that should be produced to net a profit of $155, we need to consider the given constraints and objectives.

The company must ship at least 215 ladders per day to satisfy the contract with the store. Let's denote the number of blue ladders produced per day as "B" and the number of green ladders produced per day as "G". Based on the demand requirements, we have the following inequalities:

B ≥ 100 (demand for blue ladders)

G ≥ 70 (demand for green ladders)

To satisfy the cost limitations, we have:

B ≤ 160 (maximum blue ladders production)

G ≤ 150 (maximum green ladders production)

The total number of ladders produced per day is B + G, and we want this to be at least 215. Now, let's consider the profit calculation. Each blue ladder results in a $5 profit, while each green ladder results in a $3 loss. The total profit can be calculated as 5B - 3G.

To net a profit of $155, we set up the equation:

5B - 3G = 155

We need to find the value of G that satisfies all the constraints and gives us the desired profit. This involves solving the system of inequalities and the equation simultaneously. Unfortunately, without specific values for the production quantities or additional constraints, it is not possible to provide a numerical solution. The solution would require applying linear programming techniques to find the feasible region and optimize the profit.

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Answer: I think it’s d

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

That diagram leaves a whole lot to be desired. It took a bit to figure out what was going on.

The entire angle is 89 degrees.

It is made up of three angles:

<1 = 30

<2 = x

<3 = 44

<1 + <2 + <3 = 89

30 + x + 44 = 89

74 + x = 89

x = 89 - 74

x = 15

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

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step 1

Find the equation of function A

Find the slope

take the points

(1,7) and (3,11)

m=(11-7)/(3-1)

m=4/2

m=2

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=2

(x1,y1)=(1,7)

substitute

y-7=2(x-1)

Find the y-intercept

REmember that te form

y-y1=m(x-x

Answer:

3250

Step-by-step explanation:

Multiply 5,000 times 6.5 percent

                      5000 X 6.5% = 3250

Big money Bank has an offer for new customers and the interest earned by the account over a period of time will be 3250.

Simple interest is a quick and straightforward approach to figuring out how much interest has accrued on a sum of money. Interest is always applied to the main sum, and there is a constant rate of interest applied during the course of the calculation.

According to the question, the given information in the question is,

Principle amount, P = $5000

Rate, R = 6.5% and,

Time, T = 10 years

Make use of the simple interest formula, SI= \(\frac{P*R*T}{100}\)

SI = [5000 × 6.5 × 10] / 100

SI = 325,000 / 100

SI = 3250

Hence, the interest earned by the account in this period will be 3250.

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