A rectangular prism has a length of 4 cm, a width of 6 cm, and a height of 3 cm. what is it’s volume

Answer:

-2, 2, 6

Step-by-step explanation:

f(-4)= -4+2=-2

f(0)=0+2=2

f(4)=4+2=6

Substitute x for the number in parentheses

The values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function f(x) = x + 2

To find the value of f(-4):

Plug x = -4 in the function:

f(-4) = -4 + 2 = -2

To find the value of f(0):

Plug x = 0 in the function:

f(0) = 0 + 2 = 2

To find the value of f(4):

Plug x = 4 in the function:

f(4) = 4 + 2 = 6

Thus, the values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.

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Answer:

1) Power of a Product Rule

2) Power Rule (or Power of a Power)

Answer:

x=8

Step-by-step explanation:

The angles shown are vertical angles and vertical angles are equal

13x+19 = 16x -5

Subtract 13x from each side

13x-13x+19 = 16x-13x -5

19 = 3x-5

Add 5 to each side

19+5 = 3x-5+5

24 = 3x

Divide by 3

24/3 = 3x/3

8 = x

Answer:

x = 8

Step-by-step explanation:

The angles shown are vertical angles

Vertical angles are congruent

Hence, 13x + 19 = 16x - 5

We now solve for x using the equation we just created

13x + 19 = 16x - 5

Subtract 13 x from both sides

19 = 3x - 5

Add 5 to both sides

24 = 3x

Divide both sides by 3

x = 8

Answer:

The square root of negative 11 is 3.31662479 i

Answer:

Bus 1 is traveling faster.

Step-by-step explanation:

The information provided states that Bus 1 travels at 55 miles per hour. The graph shows that Bus 2 travels less than 50 miles per hour. This shows that Bus 1 travels more miles per hour.

Hope it helps!

Answer:

the answer is 57.72 square ft

Answer:

*surface area* meaning all areas of all the sides added up.

6.5 x 5.2 = 33.8

33.8 divided by 2 = 16.9

16.9 x 2 = 33.8 (area of triangles)

5.2 x 2.4 = 12.48 (area of the bottom rectangle)

2.4 x 3.9 = 9.36 (area of the rectangle standing)

6.5 x 2.4 = 15.6 (area of the slanted rectangle)

33.8 + 12.48 + 9.36 + 15.6 = 71.24

Step-by-step explanation:

I think I got it wrong im trying to look for my mistake dont enter yet!

The average rate of change of f(x) from x = 1 to x = 3 is 0.5

The average rate of change of a function over an interval is the change in the function value (y) divided by the change in the input value (x) over that interval.

To find the average rate of change of f(x) = \(x^{3}\) - \(4x^{2}\) + 5 from x = 1 to x = 3, we can use the following formula:

(f(3) - f(1)) / (3 - 1)

substituting the function value, we get

(\(3^{3}\) - 4\((3)^{2}\) + 5 - (\(1^{3}\) - 4\((1)^{2}\) + 5)) / (3 - 1)

= (27 - 36 + 5 - (1 - 4 + 5)) / 2

= (1) / 2

So the average rate of change of f(x) from x = 1 to x = 3 is 0.5

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The probability that exactly 4 seeds don't grow out of 11 planted is approximately 0.992.

This is a binomial distribution problem, where the probability of success (plant growing) is p = 0.6 and the probability of failure (plant not growing) is q = 1 - p = 0.4. We want to find the probability that exactly 4 seeds don't grow out of 11 planted.

The formula for this is:

P(X = k) = (n choose k) * p^k * q^(n-k)

where X is the number of seeds that don't grow, k = 4, n = 11, (n choose k) is the binomial coefficient which can be calculated as (n choose k) = n! / (k!(n-k)!), and p and q are the probabilities of success and failure respectively.

Substituting the values, we get:

P(X = 4) = (11 choose 4) * 0.4^4 * 0.6^7

= (11! / (4! * 7!)) * 0.0256 * 0.1176

= 330 * 0.003008256

= 0.99227008

Therefore, the probability that exactly 4 seeds don't grow out of 11 planted is approximately 0.992.

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Answer:

yes it is

Step-by-step explanation:

It is a rational number, as it can be written as a fraction.

Answer:

Step-by-step explanation:

119/12

108car wash

11 students as community volunteers

Answer: it is probaly is 1/5

Step-by-step explanation:

A triangle with three obtuse angles is called an obtuse triangle.

In an obtuse triangle, all three angles are obtuse, which means that they are greater than 90 degrees. This is in contrast to a right triangle, which has one right angle (90 degrees) and two acute angles, or an acute triangle, which has three acute angles (all less than 90 degrees). Obtuse triangles can be either scalene (all sides have different lengths) or isosceles (two sides have the same length). They cannot be equilateral, because in an equilateral triangle all three angles are equal to 60 degrees, which is less than 90 degrees.

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Answer:

3

√

10

√

5

Step-by-step explanation:

Answer:

2x + 3y = 6

Step-by-step explanation:

The equation of a line in slope- intercept fprm is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = 5 ( subtract 2x from both sides )

3y = - 2x + 5 ( divide terms by 3 )

y = - \(\frac{2}{3}\) x + \(\frac{5}{3}\) ← in slope- intercept form

with slope m = - \(\frac{2}{3}\)

Parallel lines have equal slopes, then

y = - \(\frac{2}{3}\) x + c ← is the partial equation

To find c substitute (3, 1 ) into the partial equation

1 = - 2 + c ⇒ c = 1 + 2 = 3

y = - \(\frac{2}{3}\) x + 3 ( multiply through by 3 to clear the fraction )

3y = - 2x + 6 ( add 2x to both sides )

2x + 3y = 6 ← equation of parallel line

In descriptive statistics, we measure central tendency, variability, and skewness of a dataset. A few interesting things that we can notice are:

Continuous Variables Skewness: The skewness of the continuous variables distribution is a measure of asymmetry in the distribution. The distribution of the continuous variables is said to be skewed if the mean and median differ significantly from each other. We interpret the skewness by checking the location of the tail. If it is on the left, it is negatively skewed and if it is on the right, it is positively skewed. If the skewness is zero, the distribution is symmetrical.

Means of Dummy Variables: The dummy variables contain values of 0 and 1. The means of the dummy variables can be interpreted as proportions. If the mean is 0.6, it indicates that 60% of the observations have a value of 1. We can compare the means of the dummy variables to see which one has a higher proportion. This can be useful in many applications such as marketing research, where we can compare the proportion of people who prefer one product over another.

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Step-by-step explanation:

Use the formula for the volume of a cylinder

volume = pi r^2 h       diameter = 15 ft so  r, radius = 7.5 feet   h = 25 ft

volume = pi * ( 7.5)^2 * 25  = 4417.86 ft^3

Answer:

Yes

Step-by-step explanation:

They are both using the same line so yeah

The Inequality equations can be correctly matched with the given graphs as 3 - D, 2 - A, 1 - C and 4 - B.

The Inequality equation is given below.

\(y\geq -3x+4\) is correctly matched with 2

\(y\leq -\frac{3}{5} -5\) is correctly matched with 4

\(y\leq \frac{4}{3} x-4\) is correctly matched with 1

\(y > \frac{3}{2} x-5\) is correctly matched with 3.

Therefore, the matching for linear inequality equation with the letter for the graph are:

2= \(y\geq -3x+4\)

4=  \(y\leq -\frac{3}{5} -5\)

1=  \(y\leq \frac{4}{3} x-4\)

3=  \(y > \frac{3}{2} x-5\)

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The Inequality equations can be correctly matched with the given graphs as 3 - D, 2 - A, 1 - C and 4 - B.

Here, we have,

The Inequality equation is given below.

y ≥ -3x + 4 is correctly matched with 2

y≤ -3x/5 - 5  is correctly matched with 4

y≤ 4x/3 -4 is correctly matched with 1

y > 3x/2 - 5 is correctly matched with 3.

Therefore, the matching for linear inequality equation with the letter for the graph are:

2= y ≥ -3x + 4

4= y≤ -3x/5 - 5

1=  y≤ 4x/3 -4

3=  y > 3x/2 - 5

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Step-by-step explanation:

2. AB || CD                              2. Def of parallelogram

3. <BAC is congr <DCA         3. alt int angles of parallel lines

4. seg AB is congr seg CD    4. Theorem: opp sides of parallel are congr

5. <s AEB and CED are rt <s    5. Def of perpendicular lines

6. <AEB is congr <CED           6. Theorem: all right angles are congr

7. tr. AEB is congr tr. CED       7. AAS

8. seg. AE is congr seg. CE   8. CPCTC

9. <BEC is a rt <                      9. Def of perpendicular lines

10. <AEB is congr <BEC         10. Theorem: all right angles are congr

11. seg BE is congr seg. BE     11. Theorem: congr of seg's is reflexive

12. tr. AEB is congr tr. CEB       12. SAS

13. seg AB congr seg BC         13. CPCTC

Dissociative identity disorder is a psychological condition characterized by the presence of multiple distinct identities or personality states within an individual.

Dissociative identity disorder (DID) is a psychological condition in which an individual experiences the presence of multiple distinct identities or personality states.

These identities may have their own unique traits, memories, and behaviors, and they can take control of the person's behavior and consciousness at different times.

DID, also known as multiple personality disorder, is marked by the coexistence of different identities or "alters" within the same person. These alters may vary in age, gender, mannerisms, and even voice. They often have distinct memories, skills, and emotional responses.

The development of dissociative identity disorder is believed to be a response to severe and prolonged trauma, typically experienced during childhood.

The dissociation serves as a defense mechanism, allowing the individual to compartmentalize distressing memories and experiences.

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Answer:

120 kids prefer video games

Step-by-step explanation:

60% is .60

multiply .60 by 200 to get your answer.

.60 × 200 = 120

By applying the geometrical plane concept, it can be concluded that the point at which the line intersects the given plane is (x, y, z) = (0, 5, 2).

A geometrical plane is a Euclidean, two-dimensional surface that extends infinitely.

A line intersects a plane at one point if they have one common point of intersection.

To find the point at which the line intersects the given plane, we need to substitute the values of x, y, and z from the line equation into the plane equation and solve for t. Once we have the value of t, we can plug it back into the line equation to find the coordinates of the point of intersection.

We have the following equations of lines and a plane:

x = 4 − 4t

y = 5t

z = 1 + t

x + 2y − z = 8

Step 1: Substitute the values of x, y, and z from the line equation into the plane equation:

                  x + 2y − z = 8

(4 − 4t) + 2(5t) − (1 + t) = 8

Step 2: Simplify the equation:

4 − 4t + 10t − 1 − t = 8

Step 3: Combine like terms:

5t + 3 = 8

     5t = 5

Step 4: Solve for t:

t = 1

Step 5: Plug the value of t back into the line equation to find the coordinates of the point of intersection:

x = 4 − 4t

  = 4 - 4*1

  = 0

y = 5t

  = 5*1

  = 5

z = 1 + t

  = 1 + 1

  = 2

Therefore, the point at which the line intersects the given plane is (x, y, z) = (0, 5, 2).

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The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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Answer:

a = 65

Step-by-step explanation:

The value of x that makes lines u and v parallel is 6. Option A is correct.

First, let us understand the angles formed by parallel and transversal lines:

The different types of angles are alternate exterior angles, alternate interior angles, corresponding angles, consecutive angles, etc.

From the picture attached,

If the lines u and v are parallel and a third line (transversal) is intersecting these lines at two distinct points,

Both the angles given in the picture will be equal in measure as these angles are alternate exterior angles if u and v are parallel.

20x + 10 = 130 degrees

20x = 130 - 10 degrees

x = 120 / 20 = 6

So, the value of x is 6.

Thus, the value of x that makes lines u and v parallel is 6. Option A is correct.

For question please check the below figure:

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When no undergraduate students, graduate students, or faculty members are employed, 520 interviews are allowed.

Term definitions for faculty. a teacher who holds a position at a college or university. the words "academic" and "academician" It does, and it depends on the situation. A group of employees can be referred to as a "faculty" and the plural form is "faculties." I am a faculty member in the school of medicine. A faculty member of the School of Mathematics is my colleague. Educators, lecturers, researchers, scholars, and professors of various academic positions, such as associate professor, assistant professor, and so forth, make up a faculty. As previously mentioned, there are three levels of faculty rank: assistant, associate, and full professor.

Let xi represent the undergraduate​ students, graduate​ students and faculty  students.

The maximum interview, \(P=18x_{1} +25x_{2} +30x_{3}\)

Subject to \(x_{1} +x_{2} +x_{3}\)≤20

\(100x_{1} +150x_{2} +200x_{3}\)≤3200

With \(x_{1},x_{2} ,x_{3}\)≥0

\(P_{max}=520\)  when \(x_{1} =0\), \(x_{2} = 16\), \(x_{3} = 4\)

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mass of the penny in pounds is 0.00220462 pounds.

To explain this, we can use unit analysis to convert the mass from grams to pounds. We know that there are 453.592 grams in one pound, so we can set up a conversion factor:
1 pound / 453.592 grams
To convert the mass of the penny in grams to pounds, we can multiply the given value by this conversion factor:
( X grams ) * ( 1 pound / 453.592 grams )
Simplifying this expression, the grams unit cancels out, leaving us with the mass of the penny in pounds:
( X / 453.592 ) pounds
Plugging in the given mass of the penny in grams, we get:
( Y grams ) * ( 1 pound / 453.592 grams ) = ( Y / 453.592 ) pounds

the mass of the penny in pounds is ( Y / 453.592 ) pounds, which is approximately 0.00220462 pounds.

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Explanation

By definition.

so

Let

hence

I hope this helps you