Ethan has partially filled the prism with 8 unit cubes.

A rectangular prism with length, height, and width of 3.
How many more cubes does he need to fill the prism completely?
10
15
19
21

Answer:

y = mx+b

Step-by-step explanation:

m is the slope, and

b is the y-intercept

Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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Answer:

100

Step-by-step explanation:

Ignore the 15 yard you have to use the center number which is 5 and multiply by the length 20 this gives you 100 becaus 20*5 equals 100. You got your answer!!

Answer:

Step-by-step explanation:

\(\frac{\pi }{3}\) and \(\frac{2\pi }{3}\)

The radius of convergence of the Taylor series for the exponential function, e^x, centered at x = 0, is infinite.

The Taylor series expansion for the exponential function, \(e^x\), around x = 0 is given by the formula:

\(e^x = 1 + x + (x^2)/2! + (x^3)/3! + (x^4)/4! + ...\)

This series converges for all values of x because the terms in the series decrease in magnitude as the exponent increases. This means that as x approaches infinity or negative infinity, the terms in the series approach zero.

The convergence of a power series is determined by the ratio test or the root test. In the case of the exponential function, both tests yield a radius of convergence of infinity. This indicates that the series converges for all values of x. Therefore, the Taylor series expansion of e^x around x = 0 is valid for all real numbers x.

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Answer:

192 cm^2

Step-by-step explanation:

A = b*h

8(24) = 192

The angle of rotation is 0 degrees (or 0 radians) since no clockwise rotation is necessary for AB to coincide with BC.

To determine the angle by which AB turns clockwise about point B to coincide with BC, we need to consider the starting position of AB and the final position of BC.

Clockwise rotation is considered negative in terms of angles.

If AB and BC coincide, it means they align perfectly in the same direction. This indicates that no rotation is required. Thus, the angle by which AB turns clockwise about point B to coincide with BC would be 0 degrees or 0 radians.

Therefore, the angle of rotation is 0 degrees (or 0 radians) since no clockwise rotation is necessary for AB to coincide with BC.

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The statement that is NOT equivalent to the others is option c. "P(0) = r."

In the context of polynomials, a factor of a polynomial is a term or expression that divides evenly into the polynomial. So, if (x - r) is a factor of P(x), it means that when P(x) is divided by (x - r), the remainder is zero. This is equivalent to saying that r is a zero or root of the polynomial P(x). In other words, if r is a zero of P(x), then P(r) = 0.

Option c, on the other hand, states that P(0) = r. This means that when x is equal to zero, the value of the polynomial P(x) is equal to r. This statement does not provide any information about whether (x - r) is a factor of P(x) or if r is a zero of P(x). It simply relates the value of the polynomial at x = 0 to the constant value r.

To summarize, options a, b, and d are equivalent because they all refer to the fact that r is a zero of the polynomial P(x), while option c does not provide the same information and is therefore not equivalent to the others.

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Answer:

y = -1/5x

Step-by-step explanation:

Using the 'y=mx+c' form for the equation:

Find the slope (m):

Since the product of both slopes should be -1 (if they are perpendicular),

s₁s₂  = -1

5*s₂ = -1

s₂ = -1/5x

Hence, the slope (m) is -1/5x.

Substituting the slope value into 'y=mx+c':

y = -1/5x+c -----(1)

Substituting the point (-5,1) into the equation (1):

1 = -1/5 * (-5) + c

1 = 1 + c

c = 0

Substitiuting 'c=0' into 'y = -1/5x+c':

y = -1/5x

Hence,

y = -1/5x

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

EM SORY

Step-by-step explanation:

DUNIA BERDITI TAHUN TOGTV

In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)

Part (a) asked for the equation of the line in y = mx+b form

That would be y = -2x+9

This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.

The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9

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

Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below

Answer: y = -2x+9

Step-by-step explanation:

Answer:

D: (3,-2)

Step-by-step explanation:

I graphed it out and found the point.

The sample size increases, the probability of obtaining a sample mean less than 3500 decreases. The mean of the sample mean distribution is equal to the population mean, which is 7500.

a) The probability that, on a single test, x is less than 3500 can be calculated using the standard normal distribution. We need to standardize the value using the z-score formula: z = (x - μ) / σ. Substituting the given values, we get z = (3500 - 7500) / 1750 ≈ -2.286.

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of -2.286. The probability is approximately 0.0116, or 1.16%. Therefore, there is a 1.16% chance that a single test result will be less than 3500, indicating leukopenia.

(b) When the doctor uses the average x (sample mean) for two tests taken about a week apart, the probability distribution of x (sample mean) follows a normal distribution. The mean of the sample mean distribution is equal to the population mean, which is 7500. The standard deviation of the sample mean distribution is equal to the population standard deviation divided by the square root of the sample size. In this case, the sample size is 2.

The probability distribution of x (sample mean) < 3500 can be calculated by standardizing the value using the z-score formula and then finding the corresponding probability from the standard normal distribution table or a calculator. With two tests, the probability distribution will be narrower compared to a single test. The exact probability depends on the specific value of the sample mean and the standard deviation of the sample mean distribution.

(c) When considering three tests taken a week apart, the process is similar to part (b). The mean of the sample mean distribution remains the same at 7500, but the standard deviation of the sample mean distribution is now divided by the square root of 3, since the sample size is 3. As the sample size increases, the standard deviation of the sample mean distribution decreases, resulting in a narrower distribution.

The probability distribution of x (sample mean) < 3500 can be calculated using the z-score formula and finding the corresponding probability from the standard normal distribution table or a calculator. With three tests, the probability distribution will be even narrower compared to two tests.

In summary, as the sample size increases, the probability of obtaining a sample mean less than 3500 decreases. With more tests, we can have greater confidence in the accuracy of the sample mean and draw stronger conclusions about the individual's condition. If a person had a sample mean less than 3500 based on three tests, it would indicate a higher level of certainty about the presence of leukopenia, potentially leading to further investigation or treatment options.

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Answer:

d) State constitution

Step-by-step explanation:

Missouri needs a state constitution to become a state. It is necessary for every state. Hence, option (d) is correct answer.

Answer:3.5s2

Step-by-step explanation:

because I said so

Answer:

3.5s2

Step-by-step explanation:

because that guy said so and it was right

Answer:

A scatter plot can also be useful for identifying other patterns in data. We can divide data points into groups based on how closely sets of points cluster together. Scatter plots can also show if there are any unexpected gaps in the data and if there are any outlier points

pls mark as brainliest answer

Step-by-step explanation:

The reason is discussed below:

A scatter plot is a means to represent data in a graphical format. A simple scatter plot makes use of the Coordinate axes to plot the points, based on their values.

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

A scatter plot might be helpful for spotting further data trends.

Based on how tightly sets of data points cluster together, we can categorize the data points into groups.

Additionally, scatter plots can reveal any unexpected gaps in the data as well as any outlier spots.

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The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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Answer:

P'(4,4)

Step-by-step explanation:

⭐ What does it mean to translate a figure?

In the notation you are given (\(T__ < x-4,y+7 > P = P'\)), point P is going to be moved 4 units to the left and 7 units up.

⭐How do we translate P?

P' = (8-4, -3 + 7)

∴ P' = (4,4)

Answer:

sine

Step-by-step explanation:

(a) The function f(x) = 2x + 1 − 2x² is continuous on (0, 1) using the limit theorems. (b) The function f(x) = 3(∑(n=1)^∞ 1/n²) + x is continuous on (0, 1) using the limit theorems.

a- To show that f(x) is continuous on (0, 1), we need to show that it is continuous at every point in (0, 1). Let x₀ be an arbitrary point in (0, 1), and let ε > 0 be given. We need to find a δ > 0 such that |f(x) − f(x₀)| < ε whenever |x − x₀| < δ and x ∈ (0, 1).

First, note that f(x) is a polynomial, so it is continuous on (0, 1) by definition. Moreover, we have:

|f(x) − f(x₀)| = |2x + 1 − 2x² − (2x₀ + 1 − 2x₀²)| = |2(x − x₀) − 2(x² − x₀²)|

Now, using the identity a² − b² = (a − b)(a + b), we can write:

|f(x) − f(x₀)| = |2(x − x₀) − 2(x − x₀)(x + x₀)| ≤ 2|x − x₀| + 2|x − x₀||x + x₀|

Since x + x₀ < 2 for all x, we have:

|f(x) − f(x₀)| ≤ 2|x − x₀| + 4|x − x₀| = 6|x − x₀|

Thus, we can choose δ = ε/6, and it follows that |f(x) − f(x₀)| < ε whenever |x − x₀| < δ and x ∈ (0, 1). Therefore, f(x) is continuous on (0, 1).

To show that f(x) is continuous on (0, 1), we need to show that it is continuous at every point in (0, 1). Let x₀ be an arbitrary point in (0, 1), and let ε > 0 be given. We need to find a δ > 0 such that |f(x) − f(x₀)| < ε whenever |x − x₀| < δ and x ∈ (0, 1).

First, note that the series ∑(n=1)^∞ 1/n² converges, so it has a finite limit L = ∑(n=1)^∞ 1/n². Thus, we can write:

|f(x) − f(x₀)| = |3L + x − (3L + x₀)| = |x − x₀|

Thus, we can choose δ = ε, and it follows that |f(x) − f(x₀)| < ε whenever |x − x₀| < δ and x ∈ (0, 1). Therefore, f(x) is continuous on (0, 1).

C-The function f(x) = ∑(n=0)^∞ xⁿ is continuous on (0, 1) using the limit theorems.

To show that f(x) is continuous on (0, 1), we need to show that it is continuous at every point in (0, 1). Let x₀ be an arbitrary point in (0, 1), and let ε > 0 be given. We need to find a δ > 0 such that |f(x) − f(x₀)| < ε whenever |x − x₀| < δ and x ∈ (0, 1).

Note that f(x) is an infinite geometric series with common ratio x, so we can write:

f(x) = 1 + x + x² + x³ + ... = 1/(1 − x)

Since 0 < x < 1, we have |f(x)| = |1/(1 − x)| < ∞. Moreover, we have:

|f(x) − f(x₀)| = |1/(1 − x) − 1/(1 − x₀)| = |(x₀ − x)/(1 − x)(1 − x₀)|

Now, suppose we choose δ = ε/2, and let |x − x₀| < δ. Then we have:

|(x₀ − x)/(1 − x)(1 − x₀)| ≤ 2|x₀ − x|/δ²

Thus, if we choose δ small enough so that 2/δ² < ε/(2|f(x)|), we get:

|f(x) − f(x₀)| < ε

Therefore, f(x) is continuous on (0, 1).

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The shape of the distribution for the given data is ii. Positively Skewed.

In a positively skewed distribution, the tail of the distribution extends towards the higher values. In this case, the majority of the data points are concentrated towards the lower end of the distribution, while there are a few outliers on the higher end, resulting in a longer tail in that direction. This is evident from the fact that the median (11.60) is smaller than the mean (14.83), indicating that the distribution is pulled towards the higher values by the outliers.

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Answer:

In a circle, any two inscribed angles with the same intercepted arcs are congruent. Hope this helps!

The expression -2x³ + 13x² + 3x + 50 is equivalent to 10 - (2x³ + 11x² - 2x - 35) + (x + 5) + 6(4x²

An algebraic expression is an expression which consists of variables, coefficients, constants, and mathematical operators such as addition, subtraction, multiplication and division. Generally, if two things are the same, then it is called equivalent. Similarly, in mathematics, the equivalent expressions are the expressions that are the same, even though the expression looks different. But if the values are plugged in the expression, both the expressions give the same result.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

In the given expression;

10 - (2x³ + 11x² - 2x - 35) + (x + 5) + 6(4x²); this can be reduced or simplified to -2x³ + 13x² + 3x + 50

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Answer: Part A: The graph shows a negative relationship between the temperature of the city and the number of popsicles sold. As the temperature increases, the number of popsicles sold decreases.

Part B: To make the line of best fit, we need to draw a line that comes closest to the data points. We can find the slope and y-intercept of the line by using two of the data points on the graph. Let's choose the points (90, 20) and (40, 10).

Slope = (change in y) / (change in x) = (20 - 10) / (90 - 40) = 0.2

To find the y-intercept, we can use the slope-intercept form of a line: y = mx + b, where m is the slope and b is the y-intercept. Let's use the point (90, 20) and plug in the slope we just found:

20 = 0.2(90) + b

b = 2

Therefore, the approximate slope of the line of best fit is 0.2 and the approximate y-intercept is 2.

Step-by-step explanation:

In a factorial design, a line graph of the results is most likely to show an interaction when the lines are not parallel.

What is factorial design?

It is possible to investigate the main and interaction effects between two or more independent variables and on one or more outcome variables using the factorial design as a sort of research approach.

Here,

in a factorial design, a line graph of the results is most likely to show an interaction when the lines are both main effects and interactions are converging lines.

Hence, a line graph of the results is most likely to show an interaction when the lines are not parallel.

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Answer:

2(7) - 1/4 = 4 + 1/3x

x = 117/4

Step-by-step explanation:

solving an equation with one missing variable

step 1: multiply 2 * 7

ex: 14 - 1/4 = 4 + 1/3x

step 2: subtract 14 from 1/4

ex: 55/4 = 4 + 1/3x

step 3: subtract 4 from both sides of the equation

55/4 - 4 = 4 + 1/3x - 4   (39/4 = 1/3x)

step 4: divide both sides of the equation by 1/3

ex: 39/4 / 1/3 = 1/3x / 1/3   (x = 117/4 or x = 29 1/4)

step 5: to check your answer add the answer you got from the last equation which was 117/4 or 29 1/4 and input it into the original equation and get your final answer

ex: 2(7) - 1/4 = 4 + 1/3(117/4)

14 - 1/4 = 4 + 39/4

55/4 = 55/4 (if both sides of the equation are the same numbers like 55/4 = 55/4 then your answer is true)

Answer:

d

Step-by-step explanation:

the fitness grows into bodyness from good

Answer:

it is an isosceles triangle

so angle c is 50°

and you know the sum of angle of the triangle is 180° so 50° is already given and angle c is also 50° then 50° +50°+b= 180°

then b= 180° -100°

b= 80°

hence angle B is 80°and

angle c is 50°.

Answer:

angle c is 50°

Step-by-step explanation: