The surface area for a rectangular prism is given by the formula SA = 2ab + 2bc + 2ac, where a, b, and c are the lengths of the prism. If the surface area of a rectangular prism with side c measuring 12 meters is 434 square meters and length of side a measuring the same length as side b, then what is the length of side a of the rectangular prism?

Answer:

C

Step-by-step explanation:

2x + 3 = 5

____ ____

x 2

(cross multiply)

2(2x+3) =5x

4x + 6 = 5 x

6 = 5x - 4x

6 = x

The cost of laptop and cost of desktop are; $1,800 and $2,100 respectively.

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value.

From the question , we are given that the laptop costs $350 more than the desktop, therefore,

let x represent the cost of the laptop thus, x-350 will be the cost of the desktop .

The total finance charge of $388 is equal to 8% of the cost of the laptop and 7.5% of the cost of the desktop, we solve as;

388 = 0.08(x) + 0.075(x - 350)

252 = 0.08x + 0.075x - 26.25

278.75 = 0.155x

x = 278.75/0.155

x = 1798

Recall that the cost of desktop = x -350

therefore:

1,798- 350 = 1448

The cost of laptop = $1798

The cost of desktop = $1448

Thus, the cost of laptop and cost of desktop are; $1,800 and $2,100 respectively.

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Each will get thirty kisses, and there'll be five left over, unless he has favorite students.

Answer:

n = 0.0164321

Answer:

1051.6×10n

Step-by-step explanation:

There are 120 unique orders in which five items (a, b, c, d, e) can be arranged. Correct option is D.

The number of unique orders in which five items (a, b, c, d, e) can be arranged is a classic example of a permutation problem. Permutation refers to the arrangement of objects, where the order of the objects is important. For example, if we have 5 objects A, B, C, D, and E, there are 5! = 5 × 4 × 3 × 2 × 1 = 120 unique arrangements or permutations.

To solve this problem, we can use the formula for permutations, which is given by:

n! / (n - r)!

where n is the total number of objects and r is the number of objects in each permutation.

In this case, we have 5 objects and we want to arrange them all, so r = 5. Therefore, the number of unique orders in which five items (a, b, c, d, e) can be arranged is:

5! / (5 - 5)! = 5! / 0! = 5 × 4 × 3 × 2 × 1 = 120

Therefore, the answer is (d) 120.

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The statistic typically used in the estimation of the population variance of a variable is the sample variance, denoted by s².

The sample variance is a measure of the spread or dispersion of a set of data around its mean. It is calculated by taking the sum of the squared differences between each data point and the sample mean, and then dividing by the sample size minus one.

The sample variance is an unbiased estimator of the population variance, which means that its expected value is equal to the true population variance. However, the sample variance is not the only statistic used in the estimation of the population variance. Other statistics, such as the z-score, Student's t-test, chi-squared test, and Thompson's tau, may also be used in certain contexts depending on the specific research question and data characteristics.

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Answer : 59%

Step-by-step explanation:

The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.

If the measures of the three angles of a triangle are x, x + 10, and 2x - 6, the triangle must be isosceles.

In a triangle, the sum of the angles is always 180 degrees. Therefore, we can set up the equation:

x + (x + 10) + (2x - 6) = 180

Combine the terms:

4x + 4 = 180

Subtract 4 from both sides:

4x = 176

Divide by 4:

x = 44

Now, we can find the measures of the other two angles:

x + 10 = 44 + 10 = 54
2x - 6 = 2(44) - 6 = 88 - 6 = 82

The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.

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Suppose a contestant has earned $800 on his or her first three spins and chooses to spin the wheel again. The expected value of his or her total winnings for the four spins is $800.

Suppose a contestant has earned $800 on his or her first three spins and chooses to spin the wheel again.

We have to determine the expected value of his or her total winnings for the four spins.

Total winning depends on the fourth term.

Outcome              Skunk        100        200        500

Probability              1/4            1/4          1/4          1/4

Total Winning          0             900       1000       1300

Expected Total Winning = 1/4 (0 + 900 + 1000 + 1300)

Expected Total Winning = 1/4 × 3200

Expected Total Winning = 800

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The complete question is:

Contestants on a game show spin a wheel like the one shown in the figure above. Each of the four outcomes on this wheel is equally likely and outcomes are independent from one spin to the next.

The contestant spins the wheel.

If the result is a skunk, no money is won and the contestant's turn is finished.

If the result is a number, the corresponding amount in dollars is won.

The contestant can then stop with those winnings or can choose to spin again, and his or her turn continues.

If the contestant spins again and the result is a skunk, all of the money earned on that turn is lost and the turn ends.

The contestant may continue adding to his or her winnings until he or she chooses to stop or until a spin results in a skunk.

Suppose a contestant has earned $800 on his or her first three spins and chooses to spin the wheel again. What is the expected value of his or her total winnings for the four spins?

Answer:

(x, y) = (-1, 1)

Step-by-step explanation:

we can calculate the test statistic as follows:

t = (mean A - mean B) / √((sA² / nA) + (sB² / nB))

What is probability?

Probability is a measure or quantification of the likelihood of an event occurring. It is a numerical value assigned to an event, indicating the degree of uncertainty or chance associated with that event. Probability is commonly expressed as a number between 0 and 1, where 0 represents an impossible event, 1 represents a certain event, and values in between indicate varying degrees of likelihood.

To determine if the data suggests that the two methods provide the same mean value for natural vibration frequency, we can perform a hypothesis test.

Let's define the hypotheses:

H0: The mean value for natural vibration frequency using Method A is equal to the mean value using Method B.

H1: The mean value for natural vibration frequency using Method A is not equal to the mean value using Method B.

We can use a two-sample t-test to compare the means. We calculate the test statistic and the p-value to make our decision.

If we have the sample means, standard deviations, and sample sizes for both methods, we can calculate the test statistic as follows:

t = (mean A - mean B) / √((sA² / nA) + (sB² / nB))

Here, mean A and mean B are the sample means, sA and sB are the sample standard deviations, and nA and nB are the sample sizes for Methods A and B, respectively.

The p-value corresponds to the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true.

To find the interval for the p-value, we need more information such as the sample means, standard deviations, and sample sizes for both methods. With that information, we can perform the calculations and determine the p-value interval.

Hence, we can calculate the test statistic as follows:

t = (mean A - mean B) / √((sA² / nA) + (sB² / nB))

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Complete question:

do the data suggest that the two methods provide the same mean value for natural vibration frequency? find interval for p-value: enter your answer; p-value, lower bound

24 represents the cost per gallon of paint.

The process of finding the rate of change of the value dependent variable of the function changes with respect to that of the variable independent variable.

Given that, The expression 102+24x represents the total amount, in dollars, a painter spends at a store to purchase paintbrushes and x gallons of paint.

The equation is 102+24x

Here, the slope of the equation is 24, which tells the rate of change.

Hence, 24 is the cost per gallon of paint

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a. The equations in slope-intercept form are y = -2x + 3 and y = 0.5x - 2.

b. A table for each equation is shown below.

c. A graph of the points with a line for each inequality is shown below.

d. The solution area for each inequality has been shaded.

e. The intersection of the two shaded areas begins from point (2, -1).

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line can be modeled by the following equation;

y = mx + b

Where:

Part a.

In this exercise, we would change each of the inequalities to an equation in slope-intercept form by making "y" the subject of formula and replacing the inequality symbols with an equal sign as follows;

8x + 4y ≤ 12

y = -2x + 3

-2x + 4y > -8

y = 0.5x - 2

Part b.

Next, we would complete the table for each equation based on the given x-values as follows;

8x + 4y ≤ 12________

x       -1        0        1

y        5        3       1

-2x + 4y > -8_______

x       -1        0        1

y      -2.5    -2      -1.5

Part c.

In this exercise, we would have to use an online graphing tool to plot the system of inequalities as shown in the graph attached below.

Part d.

The solution area for this system of inequalities has been shaded and a possible solution is (-20, 12).

Part e.

In conclusion, the point of intersection of the two shaded areas represent the solution area and it begins from point (2, -1).

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Answer:

145 percent trust mee I passed it and it's right ✅️

Answer:

Snow accumulated faster in Harris. 0.50

Answer:

1 4 5

Step-by-step explanation:

Answer:

The second box

The forth box

And

The sixth box

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

180-105=75

180=75+55+x

x=50

Answer:

(B) Subtract 3x from both sides of the equation, and then divide both sides by 2.

Can't read the second question fully.

(A) 0.53

Step-by-step explanation:

Number 1:

If we have the equation \(3x + 2 = 5x\), our first goal is to get rid of the x term on one side.

To do this we can subtract 3x from both sides. This leaves our equation to \(2=2x\). To find x, we want to divide both sides by 2 since 2x divided by 2 is just x. Our goal is to isolate x.  This leaves \(x=1\).

I couldn't read Number 2 fully - I'm sorry :c

Number 3:

Given the equation \(3(x+0.2)=2.2\), we want to isolate x on one side.

To do this, we first apply the distributive property to the left side.

\(3x + 0.6 = 2.2\)

Now subtract 0.6 from both sides:

\(3x=1.6\)

And divide both sides by 3.

\(x=0.5\overline{3}\)

This rounds to 0.53.

Hope this helped!

Answer:

B

28.78

A

Step-by-step explanation:

Equation

3x + 2 = 5x

The first step is to subtract 3x from both sides.

3x - 3x + 2 = 5x - 3x

2 = 2x

The next step is to divide by two. That's the 2 in front of the two x.

2/2 = 2x/2

1 = x

So the answer must be B

The others are just not done in the right order and give wrong answers.

==================

Sorry didn't see the other two.

================

problem 2

Janette

Total Cost                  555.28

4 Tires   (4*122.57)    488.28         (Subtract)

Installation                                              65.00

Monique

Total Cost                    585.34

Tires (4*136.71)             546.84    (Subtract)

Installation                                             38.50

Difference                                              26.50 (Subtract from 65)

Problem 3

3(x + 0.2) = 2.2

3x + 0.6 = 2.2

3x + 0.6 - 0.6 = 2.2 - 0.6

3x = 1.6

x = 1.6/3

x = 0.53

Answer:

$107.60

Step-by-step explanation:

100 [1 + (0.076 * 1)] = 107.6

= $107.60

Answer:

Step-by-step explanation:

yeah

The area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x) is 2.85 sq.units.

In this question we need to find the area of the region bounded by the given curves. y = 6x^2 ln(x), y = 24 ln(x)

Equating both the equations of the curve,

6x^2 ln(x) = 24 ln(x)

24 ln(x) - 6x^2 ln(x) = 0

x = 1, 2

This means,  the curves intersect at x = 1 and x = 2.

So, the required area would be,

A = ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx

First we find the indefinite integral ∫[24 ln(x) - 6x^2 ln(x)] dx

= -6  ∫[-4 ln(x) + x^2 ln(x)] dx

= -6 ∫ln(x) (x^2 - 4) dx

= -6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x

So,  ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx

= [-6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x] _(x = 1 to x = 2)

= 32 ln(2) - 58/3

= 22.18 - 19.33

= 2.85 sq.units.

Therefore, the area of the region is 2.85 sq.units.

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The probability that at least one box in a selection of three candy gift boxes will weigh less than 34 ounces needs to be found.

To calculate the probability, the weight of a box can be considered as the sum of the weights of the individual candies in the box. The weights of the individual candies are normally distributed with known means and standard deviations.

Using the properties of normal distributions, the weights of the boxes can be modeled as normally distributed with a mean of 27 ounces (9 candies x 3 ounces per candy) and a standard deviation of 0.374 ounces (sqrt(4*(0.2^2)+5*(0.3^2)+0.1^2)). Then, the probability of at least one box weighing less than 34 ounces can be calculated using the normal distribution function.

The calculated probability is 0.0569, or approximately 5.69%. Thus, there is a 5.69% chance that at least one of the three selected candy gift boxes will weigh less than 34 ounces.

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The probability that at least one box will weigh less than 34 ounces is approximately 0.117.

To solve this problem, we can use the Central Limit Theorem to approximate the distribution of the total weight of three gift boxes. The mean weight of one gift box is 3*(4)+5*(3) = 27 ounces, and the standard deviation is sqrt((4*(0.2)^2 + 5*(0.3)^2)) = 0.69 ounces.

The probability that one gift box weighs less than 34 ounces is given by the standard normal distribution, which we can find using a z-score of (34-27)/0.69 = 10.14.

The probability that all three boxes weigh at least 34 ounces is (1-0.117)^3 = 0.770, so the probability that at least one box weighs less than 34 ounces is approximately 1 - 0.770 = 0.117.

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In the Bode magnitude plot, the value |GH| at ω = 0.4 is -5 dB, and it lies on a line with a specific slope.

The Bode magnitude plot represents the magnitude response of a system as a function of frequency. It consists of a logarithmic scale for the magnitude in decibels (dB) and a linear scale for the frequency.

Given that |GH| at ω = 0.4 is -5 dB, it means that the magnitude of the system's transfer function, GH, at the frequency ω = 0.4 is -5 dB. This indicates that the system attenuates the input signal by 5 dB at that specific frequency.

The statement also mentions that this value lies on a line with a slope. The slope of the Bode magnitude plot represents the rate at which the magnitude changes with respect to frequency. Without additional information about the specific slope mentioned, it is not possible to determine its exact value or interpret its significance.

To fully understand the behavior of the system, additional information about the specific transfer function or frequency response characteristics would be needed.

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The margin of error from the smaller sample will be about 3 times the margin of error from the larger sample.

The margin of error in a one-sample z interval for a proportion depends on three factors: the sample size (n), the sample proportion, and the level of confidence \((z\alpha/2)\). The formula for the margin of error is:

Assuming the sample proportion is the same in each sample, the only difference between the margins of error will be due to the difference in sample sizes.

The margin of error is inversely proportional to the square root of the sample size, meaning that as the sample size increases, the margin of error decreases. Therefore, if the larger sample size is n = 900 and the smaller sample size is n = 100, the margin of error from the smaller sample will be about √9 times larger than the margin of error from the larger sample, or approximately 3 times larger. In other words, the margin of error from the smaller sample will be about 3 times the margin of error from the larger sample.

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Answer:

b Any length between 1ft and 6ft

Step-by-step explanation:

I am only 80% shure sorry

The output obtained after executing the java code snippet,

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

will be 4.

As per the question statement, we are provided with a java code snippet, which goes as:

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We are required to determine the output, that we will obtain on executing the above mentioned code.

That is, on executing the code

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We will obtain an output of 4, as "++" is the post increment function.

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Answer: $2,009

Step-by-step explanation:

345 + 125 = 470

470 + 21 = 491

2,500 - 491 = 2,009

Answer:

The answer should be B. $2,009

Step-by-step explanation:

Just add the total amount that she spent and subtract it by the total, which is $2500.

Answer:

Area = w x (5+ 8 w)

Step-by-step explanation:

Recall the formula for the area of a rectangle:   Area=with x length

You are suggested to use "w" to represent the width of the pen.

Now, they give you information about the length of the pen in word form.

We are converting those words into an algebraic expression:

"The length of the pen is 5 more than 8 times the width of the pen"

Length = 5 + 8  w

So we replace the length of the pen with this expression in the area formula:

Area = w x (5+ 8 w)

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Have a great rest of ur day :)

Step-by-step explanation:

In the 1984 domestic violence study conducted by Sherman and Berk, the ethical concern was that they potentially withheld a beneficial treatment.

The domestic violence study conducted by Sherman and Berk in 1984 raised an ethical concern in that they financially profited from the research. This raises the question of whether their motives were purely altruistic or whether they were driven by financial gain. Additionally, the study did not adhere to special protections for vulnerable populations such as women and children who may have been victims of domestic violence. This raises concerns about the validity and generalizability of the study's findings. Furthermore, the study potentially withheld a beneficial treatment, which raises questions about the ethical responsibility of researchers to ensure that their subjects receive the best possible care. Finally, there are also concerns that the researchers may have deceived their subjects, which raises questions about the integrity and transparency of the research process. In conclusion, the ethical concerns raised by this study highlight the need for researchers to carefully consider the impact of their research on vulnerable populations and to ensure that they adhere to the highest ethical standards.
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Answer:

49.2F

Step-by-step explanation:

To find the difference you can see how far they both are from 0 and add them together. So for this, it would be 36.6+12.6=49.2