RATING BRAINLIEST Which of the following demonstrates the Distributive Property?

4(2a + 3) = 8a + 3
4(2a + 3) = 2a + 12
4(2a + 3) = 6a + 7
4(2a + 3) = 8a + 12

From the  X coordinate is -0.45 centimeter and Y coordinate is -2.0 cm of the center of mass for the uniform plate.

According to the Question:

Since the plate is uniform, we can divide it into three rectangles, each with a mass proportional to its area and with its barycenter at its geometric center. We will refer to the large piece of 35cm x 10cm; it occupies 63.6% of the total surface and its barycenter is at

(x₁, y₁) = (−5.0cm,−2.5cm).

Now,

The top 20cm× 5cm piece has 18.2 % of the total area; its center of mass is at (x₂, y₂) = (10cm,12.5cm).  

Now,

The bottom 10cm× 10cm piece (section 3) also has 18.2 % of the total area; its center of mass is at (x₃, y₃)​ = (5cm,−15cm).

(a) The x coordinate of the center of mass for the plate is

   \(X_{com} = (0.636)X_1 + (0.182)X_2 + (0.182)X_3\)

            = -0.45 cm

(b) The y coordinate of the center of mass for the plate is

    \(Y_{com} = (0.636)Y_1 + (0.182)Y_2 + (0.182)Y_3\)

             = -2.0 cm.

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The statement " A(n) method is like a blueprint, or template, for all the objects within a class" is true because methods define the behavior or operations that an object can perform and are defined within a class, acting as a blueprint or template for creating objects in object-oriented programming.

A method in object-oriented programming is a set of instructions that defines the behavior or operations that an object can perform. It is a part of a class, which acts as a blueprint or template for creating objects. When an object is created from a class, it can access and use the methods defined within that class.

Methods can be used to perform tasks, manipulate data, or interact with other objects. They are an essential aspect of encapsulation in object-oriented programming, as they allow for data to be accessed and manipulated in a controlled manner. Overall, methods are a crucial tool for developers to create robust and scalable applications.

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The general solution of differential equation is:

\(y = c1 e^(-3x) + c2 xe^(3x) + A cos(\sqrt(3/(J + m + I))x) + B sin(\sqrt(3/(J + m + I))x)\)

First, we can use the method of undetermined coefficients to find a particular solution.

We assume that y = A cos(kx) + B sin(kx) and plug it into the differential equation to obtain:

\(f(-k^4A cos(kx) - k^4B sin(kx) + 6k^3fA sin(kx) - 6k^3fB cos(kx) + (9f + 1 + 6m)(-k^2A cos(kx) - k^2B sin(kx)) + (9m + 6l)(-kA sin(kx) + kB cos(kx)) + 9l(A cos(kx) + B sin(kx))) = 0\)

Simplifying and collecting like terms, we get:

\((-k^4fA + 6k^3fB - (9f + 1 + 6m)k^2A - (9m + 6l)kB + 9lA)cos(kx) + (-k^4fB - 6k^3fA - (9f + 1 + 6m)k^2B + (9m + 6l)kA + 9lB)sin(kx) = 0\)

Since cos(kx) and sin(kx) are linearly independent, the coefficients of each must be zero. Thus, we have the following system of equations:

\(-k^4fA + 6k^3fB - (9f + 1 + 6m)k^2A - (9m + 6l)kB + 9lA = 0\)

\(-k^4fB - 6k^3fA - (9f + 1 + 6m)k^2B + (9m + 6l)kA + 9lB = 0\)

Dividing the second equation by k and substituting \(kB = (9f + 1 + 6m - 6k^2)A - 6k^3B\), we get:

\((-k^5f + 6k^4f - (9f + 1 + 6m)k^3 - (9m + 6l)(9f + 1 + 6m - 6k^2)k)/((9f + 1 + 6m - 6k^2)^2 + 36k^6) = 0\)

Solving for k, we get:

\(k = \pm \sqrt(3/(J + m + I))\)

Thus, a particular solution is:

\(y = A cos(\sqrt(3/(J + m + I))x) + B sin(\sqrt(3/(J + m + I))x)\)

To find the general solution, we combine the particular solution with the two given linearly independent solutions:

\(y = c1 e^(-3x) + c2 xe^(3x) + A cos(\sqrt(3/(J + m + I))x) + B sin(\sqrt(3/(J + m + I))x)\)

where c1 and c2 are constants determined by initial or boundary conditions.

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Answer:

Step-by-step explanation:

4 + 63 = 67

67(56x6)

if its 56x^6 then

3752x^6

The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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The number of different 4-person committees that can be chosen from a group of 100 members is 94,109,400.The correct answer is option D.

To determine the number of different 4-person committees that can be chosen from a group of 100 members, we can use the combination formula.

The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!),

where n is the total number of items and r is the number of items to be selected.

In this case, we have n = 100 (total number of members) and r = 4 (number of members to be selected).

Using the combination formula, we can calculate the number of different 4-person committees:

C(100, 4) = 100! / (4! * (100 - 4)!)

Simplifying the expression:

C(100, 4) = 100! / (4! * 96!)

The factorial notation represents the product of all positive integers up to the given number. For example, 4! (read as "4 factorial") is equal to 4 * 3 * 2 * 1.

Calculating the expression, we find that C(100, 4) = 94,109,400.

Therefore, the correct answer is: D. 94,109,400.

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Option B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past

In Act 2 of A Raisin in the Sun, George Murchison's arrival changes the mood of the scene as he complains that Beneatha is giving them a lecture on their African past. George's comments create tension and conflict among the characters, particularly with Beneatha, who is exploring her African heritage. His attitude towards Beneatha's interest in her roots is dismissive and condescending, which generates discomfort and disagreement among the characters. George's arrival highlights the cultural differences between him and the Younger family and demonstrates the generational and ideological divides within the African American community. Thus, his presence is a catalyst for revealing deeper tensions and conflicts within the play.

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Complete question:

How does the arrival of George Murchison change the mood of the scene?

A) George's arrival changes the mood because he doesn't take part in the dance

B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past

C) George's arrival changes the mood because he was rich, and they didn't like that a rich white person was in their house

D) George's arrival changes the mood because he had a gun

The function F(A,B,C,D)=AB′D+BCD′+A′C′D+AB′D′+A′B′C is realized using a 4-to-1 MUX and a minimum number of external gates.

A 4:1 multiplexer has four data inputs (I0, I1, I2, and I3) and two control inputs (S1 and S0). The outputs are selected based on the state of the control inputs, which produce a binary value from 0 to 3. Using the terms "minimum" and "number", realize the following logic function using 4-1 MUX and a minimum number of external gates. Select A and B as control inputs: F(A,B,C,D)=AB′D+BCD′+A′C′D+AB′D′+A′B′C.The number of external gates used in the construction of a 4-to-1 MUX can be reduced by forming the output function through the MUX. By using this approach, the circuit shown below can be produced:In the circuit, the AND gate in the upper right corner is used to convert A and B into S0 and S1. The remaining three AND gates are used to create the data inputs for the 4-to-1 MUX. Therefore, the function F(A,B,C,D)=AB′D+BCD′+A′C′D+AB′D′+A′B′C is realized using a 4-to-1 MUX and a minimum number of external gates.

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Answer:

what rubbish can Youcould b emade

Basketball competition refers to organized events or tournaments where teams compete against each other in the sport of basketball.  There are 6 6-player games (3 on 3) and 7 2-player games (1 on 1) played in the neighbourhood basketball competition.

Since all 50 athletes sign up for only one kind of game, we know that the total number of players participating in the competition is 50. Let's assume there are x 6-player games (3 on 3) and y 2-player games (1 on 1) in total.

In a 6-player game, there are 6 athletes playing. Therefore, the total number of athletes participating in 6-player games can be calculated as 6 * x.

In a 2-player game, there are 2 athletes playing. So, the total number of athletes participating in 2-player games can be calculated as 2 * y.

Since all 50 athletes participate, we can write the equation:

6 * x + 2 * y = 50

We are also given that the neighbourhood holds 13 total games. Therefore, the total number of games can be expressed as:

x + y = 13

We now have a system of equations:

6x + 2y = 50
x + y = 13

To solve this system of equations, we can use substitution or elimination method. Let's use the elimination method in this case.

Multiplying the second equation by 2, we get:

2x + 2y = 26

Subtracting this equation from the first equation, we can eliminate the y term:

(6x + 2y) - (2x + 2y) = 50 - 26
4x = 24

Dividing both sides of the equation by 4, we find:

x = 6

Substituting this value back into the second equation, we can find y:

6 + y = 13
y = 7

Therefore, there are 6 6-player games (3 on 3) and 7 2-player games (1 on 1) played in the neighborhood basketball competition.

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Answer:

14

Step-by-step explanation:

formula

SQURED A+B=C

10+b =18

100+b=324

100-100 324-100

=224

squre root of 224

is 14

0.995 or 209/210 is the probability that berries will be produced.

We use combination function to solve the probabilities

\(^nC_r = \frac{(n!}{(n-r)!r!}\)

No. of ways of Choosing 6 plants out of 10 = 10C6 = 210

Out of 10 plants there are 4 females so there will be 6 males.

If a homeowner buys 6 plants then out of them 1 male and 1 female are necessary to produce berries.

Therefore the following are pairs that he can choose from.

Males Females

2               4

3               3

4               2

5               1

We rule out the possibility of choosing only 1 type since they won't produce berries and also of choosing 5 females since there are only 4 females at the store.

Choosing male and female plants event is simultaneous (intersection) so we will the numbers of ways of that many females and males being chosen

numbers of ways that we choose a male plant = 6CM  ......Where M is the no. of males is selected.

numbers of ways that we choose a female plant = 4CF  ......Where F is the no. of females is selected.

M         F                  No. of ways choosing Probability

2      4                        6C2 * 4C4 = 15                15/210 = 0.0714

3      3                        6C3 * 4C3 = 80                             0.381

4      2                        6C4 * 4C2 = 90                             0.4286

5       1                        6C5 * 4C1 = 24                              0.1142

We add these +  probabilities since any of the pairs can be bought (union)

Therefore, the probability that berries will be produced 0.995 or 209/210.

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0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Answer:

Step-by-step explanation:

Distributive property of multiplication has to do with the multiplication of numbers by the sum of that number

say in our given example $2.05.

When we decide to multiply 3 property with $2 and $0.5 which when added together will still give  $2.05, we are using distributive property of multiplication.

Hence according to distributive property 3*$2.05 is the same as

3*$2 + 3*$0.5

Answer:

ΔAXC ~ ΔCXB

ΔACB ~ ΔAXC

Step-by-step explanation:

B and D are correct

Congruent triangles have equal corresponding sides.

The true statements are: ΔAXC ~ ΔCXB ; and ΔACB ~ ΔAXC  

From the figure (see attachment), we have the following highlights

This means that we have the following similarities statements:

ΔAXC ~ ΔCXB ; and ΔACB ~ ΔAXC  

Hence, the true options are: (b) and (d)

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Answer:

D $92

Step-by-step explanation:

$5 x 10 cakes = 50

$6 x 7 pies = 42

50 + 42 = 92

Answer:

D

Step-by-step explanation:

5(10)+6(7)= 50+42=92

function is the answer of this question

The factors of the polynomial are (x - 4)(x - 4)(x + 7), and the polynomial is completely factored.

For the polynomial x³ - 7x² - 16x + 112, the following statements are true:

1. The factors of the polynomial are (x - 4)(x - 4)(x + 7).

2. The polynomial is completely factored.

To factor the polynomial completely, we can use different factoring techniques such as grouping, factoring by grouping, or synthetic division.

In this case, we observe that the number 4 is a root of the polynomial since when we substitute x = 4 into the polynomial, we get zero.

Using synthetic division or long division, we can divide the polynomial by (x - 4) twice to obtain the factored form (x - 4)(x - 4)(x + 7).

Hence, the factors of the polynomial are (x - 4)(x - 4)(x + 7), and the polynomial is completely factored.

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Answer:

decrease/decrease.

Step-by-step explanation:

both will decrease in quantity due to lack of food from the primary producer. Once the prey reduces, it affects the population of the predator.

The p-value for the hypothesis test is approximately 0.65.

To find the p-value for the hypothesis test, we need to determine the test statistic and the corresponding probability.

First, we need to state the null and alternative hypotheses:

Null Hypothesis: The mean number of alcoholic drinks for college students at the liberal arts college is equal to the mean number of alcoholic drinks for U.S. college students in general, which is 4.73.

Alternative Hypothesis: The mean number of alcoholic drinks for college students at the liberal arts college is not equal to the mean number of alcoholic drinks for U.S. college students in general.

Next, we need to determine the test statistic, which is calculated as follows:

t = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

t = (4.45 - 4.73) / (3.92 / sqrt(70))
t = -0.28 / 0.47
t = -0.596

Using a t-distribution table with 69 degrees of freedom (70 - 1), we find the corresponding two-tailed probability to be 0.553.

Therefore, the p-value for the hypothesis test is 0.553. This means that if we assume the null hypothesis is true, there is a 55.3% chance of observing a sample mean of 4.45 drinks per week or more extreme. Since this p-value is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the mean number of alcoholic drinks for college students at the liberal arts college differs from the mean number of alcoholic drinks for U.S. college students in general.
To find the p-value for the hypothesis test, we first need to set up the null and alternative hypotheses:

Null hypothesis (H₀): The mean number of alcoholic drinks for college students at this liberal arts college is equal to the national mean (µ = 4.73).
Alternative hypothesis (H₁): The mean number of alcoholic drinks for college students at this liberal arts college is different from the national mean (µ ≠ 4.73).

Next, we'll perform a t-test, since we have a sample mean, standard deviation, and sample size, but not the population standard deviation.

First, calculate the t-statistic:
t = (sample mean - population mean) / (sample standard deviation / √sample size)
t = (4.45 - 4.73) / (3.92 / √70)
t ≈ -0.46

Now, we need to find the degrees of freedom (df) for the t-distribution:
df = sample size - 1
df = 70 - 1 = 69

Using a t-table or t-distribution calculator, we can find the p-value for a two-tailed test (since we're testing for a difference, not specifically greater or lesser) with t ≈ -0.46 and df = 69. The p-value is approximately 0.65.

Your answer: The p-value for the hypothesis test is approximately 0.65.

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The probability that their mean is above 215 is 0.0359.

Therefore the answer is (a) 0.0359.

To find the probability that the mean rating of 36 applicants is above 215, we can use the central limit theorem, which states that the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size. So, the mean of the distribution of sample means is 200, and the standard deviation is 50/sqrt(36)=8.33.

We can then standardize the sample mean using the z-score formula:

z = (x* - μ) / (σ / sqrt(n))

where x* is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size. Plugging in the values, we get:

z = (215 - 200) / (8.33) = 1.8.

Using a standard normal distribution table or calculator, we can find that the probability of getting a z-score greater than 1.8 is 0.0359. Therefore, the answer is (a) 0.0359.

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Answer:

99 husks

Step-by-step explanation:

To find out how many ears she can husk in a minute we divide 24 by 8. When we do that we get 3. Since she husks three ears of corn in a minute we just have to multiple 3 by 33 to see how many ears she can husk in 33 minutes. 3x33 is 99.

The temperature of the oven 10 minutes after being turned on will be 315°.

The temperature of the oven t minutes after being turned on will be 65 + 25t

The temperature of the oven 10 minutes after being turned on will be:

= 65 + (25 × t)

where t = number of minute

= 65 + (25t)

= 65 + 25(10)

= 65 + 250

= 315°

The temperature of the oven 10 minutes after being turned on will be 315°.

The temperature of the oven t minutes after being turned on will be:

= 65 + (25 × t)

= 65 + 25t

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Examine one full set:

12/8

simplify

3/2

filling in

3  2

9  6

12  8

18  12

Answer:

The slope is 1

Step-by-step explanation:

for every 1 unit crossed in the X value, 1 is crossed the Y value, which is

1/1 or 1

Answer: 1

Step-by-step explanation:

Let us look at the given line.

➜ The line is going from bottom left to upper right, this is a positive slope

➜ We can use rise/run for a slope of 4/4 = 1/1. See attached.

The probability of selecting a user who chooses cinnamon and is under 13 years old is: 0.18 or 18% (rounded to two decimal places).

In the problem, we are given the number of users who choose bacon and are under 13 years old, which is 8. We are also given the number of users who choose plain and are under 13 years old, which is 5. Therefore, the total number of users under 13 years old is 8 + 5 = 13.

Next, we are asked to find the probability of selecting a user who chooses cinnamon and is under 13 years old. We know that the number of users who choose cinnamon and are under 13 years old is 3. Therefore, out of the total 13 users under 13 years old, the probability of selecting a user who chooses cinnamon and is under 13 years old is:

The total number of users under 13 years old is 8 (choose bacon) + 5 (choose plain) = 13.

The number of users who choose cinnamon and are under 13 years old is 3.

Therefore, the probability of selecting a user who chooses cinnamon and is under 13 years old is:

3 / 13 ≈ 0.23 or 23% (rounded to two decimal places)

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\(\huge\text{Hey there!}\)

\(\large\boxed{\mathsf{(27\times3- 5\times9)(4)}}\\\large\boxed{\mathsf{= (4)(27\times3-5\times9)}}\\\large\boxed{\mathsf{= 4(81-45)}}\\\large\boxed{\mathsf{= 4(36)}}\\\large\boxed{{\mathsf= \ 144}}\huge\checkmark\\\\\\\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}\)

121500 twins birth

In order to determine the number of birth in 2000, we will use the expressionn as shown:

Note that the total percent of twins birth initially is 100%

x is the approximate twin births in 2000.

Simplify the result to determine the value of x

Divide both sides by 1.14

Hence the total number of twin birth in 2000 were approximately 121500 twins birth

What percent of 150 is 90? ANS ________ %

In this problem

150 represent 100%

so

Applying proportion

Find out what percentage represent 90

so

100/150=x/90

solve for x

x=(100/150)*90

x=60%

Answer:

In this I would choose C

Step-by-step explanation: