PLEASE HELP!! WILL MARK BRAINLIEST


Some high school students made a rectangular prism-shaped box, shown in the figure, to bury in the ground as a time capsule at their school. They want to know how much space will be available. Find the volume of the rectangular prism.

Question 19 options:


A)


512 cm3


B)


348 cm3


C)


729 cm3


D)


432 cm3

Answer:

I guess 400g good for your diet. and health

By using the chain rule , the derivative or partial derivative of w is dw/dt at t = 3 is -2cos(3)sin(3). And by using product law the derivative of given function is ∂w/∂u = y + z + x * ∂z/∂u. Therefore, ∂w/∂u at the point (1/2, 1) is 1/2.

(a) w = ln(x^2 + y^2), x = cos t, y = sin t, find dw/dt at t = 3.To find dw/dt, we will use the chain rule. The partial derivative of w with respect to x is given by the following rule:∂w/∂x = 1/(x^2 + y^2) * 2x.Similarly, the partial derivative of w with respect to y is given by the following rule:∂w/∂y = 1/(x^2 + y^2) * 2y.Now using the chain rule:dw/dt = ∂w/∂x * dx/dt + ∂w/∂y * dy/dtAt t = 3, x = cos(3) and y = sin(3), so we can substitute these values:dw/dt = ∂w/∂x * dx/dt + ∂w/∂y * dy/dt= [1/(cos^2(3) + sin^2(3)) * 2cos(3)](-sin(3)) + [1/(cos^2(3) + sin^2(3)) * 2sin(3)](cos(3))= (-2cos(3)sin(3))/(cos^2(3) + sin^2(3))= -2cos(3)sin(3).Therefore, dw/dt at t = 3 is -2cos(3)sin(3).(b) w = xy + yz + xz, x = u + v, y = u - v, z = uv.We need to find ∂w/∂u at the point (u, v) = (1/2, 1).Using the product rule, the partial derivative of w with respect to u is given by:∂w/∂u = y + z + x * ∂z/∂u.Substituting x, y, and z, we get:∂w/∂u = (u - v) + v(u + v) + (u + v)v= 2uv + u - v.Therefore, at the point (u, v) = (1/2, 1), we get:∂w/∂u = 2(1/2)(1) + (1/2) - 1= 1/2.Therefore, ∂w/∂u at the point (1/2, 1) is 1/2.

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Step-by-step explanation:

There should be an option that says, “From the origin, move 0.5 unit to the right along the x-axis and 1 unit down, and place the point.”

Answer:

x=10

Step-by-step explanation:

just use ur brain

Answer:

h;ikl

Step-by-step explanation:

Answer: 44800000

Step-by-step explanation:56000 x 800=44800000

44800000÷56000=800

Answer:

64

Step-by-step explanation:

300 -4x = 44

(300 - 44)/4= 64

check

64 x 4 =256

300 - 256 = 44

Answer:

The answer would be (7,9).

Step-by-step explanation:

If you partition that line by 6 you'd get (3,5), (4,6), (5,7), (6,8), and (7,9) in the middle of the two points. And the ratio of 5:1 would be seen at point (7,9).

Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

3 hours (or 180 minutes)

3/4 of an hour = 45 minutes

45 minutes × 3 = 135 minutes or 2 hours and 25 minutes

2 hours and 25 minutes + 45 minutes = 3 hours (180 minutes)

Answer: the slope is down 4 to the left five which is the -4/5 and then your y intercept is -10

Step-by-step explanation:

I know this because in a y intercept equation it’s y equals your slope which is m then out x then your y intercept which is b. so a normal one would look like y=mx+b

slope is m and y intercept is b the rest you keep how it is

Answer:

k+15

Step-by-step explanation:

The word "increased" indicates that there will be addition and the word "product" indicates there will be multiplication. Since it's asking for the product of 5 and 3, we can solve by multiplying those two numbers to get 15. Our variable k will then add 15. So, the final answer we get is: k+15

According to the question, the solution to the system of linear equations is (2t, (11/3)t + 8/3, t) in terms of the parameter t.

To solve the system of linear equations:

Equation 1: 2x1 + x2 - 3x3

= 8x3 = 8

Equation 2: 4x1 - 2x1 + 3x2 - 13x3 - 12x3

= 12

We can rewrite the equations as:

Equation 1: 2x1 + x2 - 11x3

= 8

Equation 2: 2x1 + 3x2 - 25x3

= 12

To solve this system, we'll use the method of row reduction.

Row 2 - Row 1 gives us:

0 + 2x1 - 14x3

= 4

This simplifies to:

2x1 - 14x3

= 4

We can express the system in matrix form:

[2   0  -14]   [x1]   [4]

[2   3  -25] * [x2]

= [12]

To solve the system using row reduction:

Row 2 - Row 1 gives us:

0   -3    11    -8

Now, we have:

[2   0  -14   |  4]

[0   -3   11  |  -8]

Divide Row 2 by -3:

[2   0  -14   |  4]

[0   1  -11/3 | 8/3]

We can express this system as:

2x1 - 14x3

= 4

x2 - (11/3)x3

= 8/3

Solving for x1, x2, and x3 in terms of the parameter t:

x1 = 2t

x2 = (11/3)t + 8/3

x3 = t

Therefore, the solution to the system of linear equations is (2t, (11/3)t + 8/3, t) in terms of the parameter t.

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Answer:

4

Step-by-step explanation:

all the details can be found in the attachment.

Answer: Option A: x=4

The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.

To define the supremum and infimum of the set A, we first need to determine the properties of the set.

The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.

To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.

Let's analyze the elements of A:

For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.

As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.

Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.

Again, analyzing the elements of A:

As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.

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If a data set contains three unique values, none of the given statements must be true.

The mean is the average of a data set, calculated by summing all values and dividing by the number of values. In a data set with three unique values, the mean will not necessarily be equal to the median, which is the middle value when the data set is arranged in ascending or descending order.

The median is the middle value in a data set when arranged in order. With three unique values, the median will not necessarily be equal to the midrange, which is the average of the minimum and maximum values in the data set.

Therefore, none of the statements "mean = median," "median = midrange," or "median = midrange" must hold true for a data set with three unique values.

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Answer:

196 miles

Step-by-step explanation:

To find the distance that the bus drives, we can use the formula:

distance = rate x time

where rate is the average speed and time is the duration of the trip.

In this case, the average speed of the bus is 56 mph and the duration of the trip is 3 1/2 hours. However, it is easier to work with time in terms of a single unit, so let's convert 3 1/2 hours to 7/2 hours:

3 1/2 hours = (2 x 3) + 1/2 hours = 7/2 hours

Now we can plug in the values into the formula:

distance = rate x time

distance = 56 mph x 7/2 hours

We can simplify by multiplying 56 by 7 and then dividing by 2:

distance = (56 x 7) / 2 = 196 miles

Answer:

2.Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.

Step-by-step explanation:

The object of "Euclidean geometry" (more commonly called "plane geometry") is, in principle, the study of the shapes and properties of natural bodies. However, geometry is not an experimental science since its object is not to study certain aspects of nature but a necessarily arbitrary reproduction of it.

After the definitions, Euclid then poses his famous postulates (his requests), the fifth of which has remained Euclid's postulate, often called axiom (or postulate) of parallels and which was the subject of much research and controversy as to its necessity:

From the above explanation, we could deduce that the correct option is Option 2.

Answer:

The answer is B, Through a given point not on a line, there exists exactly one line parallel to the given line through the given point.

Step-by-step explanation:

If the value of θ is 46.4°. Then the value of the cosine of θ will be 20/29.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The value of sine of θ is 21/29.

Then the value of θ will be

sin θ = 21/29

     θ = sin⁻¹(21 / 29)

     θ = 46.4°

Then the value of the cosine of θ will be

cos θ = cos 46.4°

cos θ = 20/29

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Answer:

$172.46

Step-by-step explanation:

Discount = 229.95 × 25/100

Discount = 229.95 x 0.25

= $57.49

Final Price = 229.95 - 57.4875

= $172.46

The probability that the team will experience a pulled hamstring muscle between the 15th and 25th minute of the game is 0.0196. 

We know that the normal time between pulled hamstring muscles is 342 minutes. Subsequently, the rate parameter λ for the exponential dissemination is:

λ = 1/342

(a) To discover the likelihood that the group will drag a hamstring muscle within the next amusement, we got to discover the likelihood that a pulled hamstring muscle happens within 90 minutes.

Let X be the time (in minutes) until the following pulled hamstring muscle. At that point, X takes after an exponential dispersion with rate parameter λ = 1/342.

P(X < 90) = 1 - \(e^\)(-λ * 90) = 1 - \(e^\)(-90/342) ≈ 0.2638

Subsequently, the likelihood that the group will drag a hamstring muscle within another amusement is roughly 0.2638.

(b) To discover the likelihood that the team will involve a pulled hamstring muscle between the 15th and 25th miniature of the diversion, we got to discover the likelihood that a pulled hamstring muscle happens between 15 and 25 minutes.

Let Y be the time (in minutes) until the another pulled hamstring muscle.

P(15 < Y < 25) = \(e^\)(-λ * 15) - \(e^\)(-λ * 25) =\(e^\)(-15/342) - \(e^\)(-25/342) ≈ 0.0196

In this manner, the likelihood that the group will involve a pulled hamstring muscle between the 15th and 25th diminutive of the amusement is roughly 0.0196. 

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Based on the vertical angles theorem, the value of x in the image attached below is: x = 25.

When two lines intersect at a point, they form pairs of angles that are referred to as vertical angles, which are equal in measure to each other based on the vertical angles theorem.

In the image given, where lines j and k are parallel to each other, 3x° and 75° are vertical angles.

Therefore, we have:

3x = 75

3x/3 = 75/3 [division property of equality]

x = 25

The value of x is: 25.

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In order to compute the annual dollar changes and percent changes for each item, we need to follow these steps:

1. Identify the items for which we need to compute the changes.
2. Determine the dollar change for each item by subtracting the previous year's value from the current year's value. If the value has decreased, add a minus sign in front of the change to indicate a decrease.
3. Calculate the percent change for each item by dividing the dollar change by the previous year's value and multiplying by 100. Round your percentage answers to one decimal place.
4. Repeat steps 2 and 3 for each item.

For example, let's say we have the following items:

Item A:
Previous year's value = $100
Current year's value = $120

Item B:
Previous year's value = $500
Current year's value = $400

Item C:
Previous year's value = $1000
Current year's value = $1100

To compute the changes:

1. Item A:
Dollar change = $120 - $100 = $20
Percent change = ($20 / $100) * 100 = 20%

2. Item B:
Dollar change = $400 - $500 = -$100
Percent change = (-$100 / $500) * 100 = -20%

3. Item C:
Dollar change = $1100 - $1000 = $100
Percent change = ($100 / $1000) * 100 = 10%

By following these steps, you can compute the annual dollar changes and percent changes for each item in the given information. Remember to round the percentage answers to one decimal place.

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Answer:

A, C, and B. In that order

Using a significance level of 5%, we conclude that there is significant evidence that American adults who drink alcohol do not favor beer, wine, and liquor equally as the alcoholic drink they consume most often. So, the correct answer is D).

Using a significance level of 5%, the chi-square test statistic is 33.3815 with 2 degrees of freedom and a corresponding p-value of less than 0.0001.

Since the p-value is less than 0.05, we reject the null hypothesis of equal preference for beer, wine, and liquor and conclude that there is significant evidence that American adults who drink alcohol do not favor beer, wine, and liquor equally as the alcoholic drink they consume most often.

Therefore, the answer is (d) There is significant evidence that American adults who drink alcohol do not favor beer, wine, and liquor equally as the alcoholic drink they consume most often.

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--The given question is incomplete, the complete question is given

"  Gallup asked a nationally representative sample of adults about their alcohol consumption. Those in the sample who drank alcohol were asked which they drank most often-beer, wine, or liquor. Do the data provide evidence of an equal preference for beer, wine, and liquor as the favored alcoholic drink of American adults who drink alcohol? Here is an incomplete Minitab output for the corresponding chi-square test: Test Contribution Category Observed Proportion Expected to Chi-Sq beer 264 0.333333 216.667 10.3405 wine 237 0.333333 216.667 1.9082 liquor 149 0.333333 216.667 21.1328 N DF Chi-Sq P-Value 650 Using a significance level of 5%, what should you conclude?

a. There are significantly more American adult drinkers who favor beer over wine or liquor.

b. The data are consistent with an equal distribution of beer, wine, and liquor as the alcoholic drink consumed most often by American adults who drink alcohol.

c. We are unable to conclude anything, because the test assumptions are not met.

d. There is significant evidence that American adults who drink alcohol do not favor beer, wine, and liquor equally as the alcoholic drink they consume most often."--

Based on the lateral area of the cylinder, the volume of the cylinder can be calculated to be 139.5 cm³.

When given the lateral surface area of a cylinder, you can find the volume as:

= Area of lateral surface x (radius / 2)

Solving gives:

= 55.8 x (5 / 2)

= 55.8 x 2.5

= 139.5 cm³.

Missing part of the question:

Radius of the cylinder is 5cm.

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The Θ-class of the following recurrence relations is:

a) T(n) = Θ(n³ log(n))

b) T(n) = Θ(n log(n))

c) T(n) = Θ(n log(n)).

Hence, the solution is given by,

a) T(n) = Θ(n³ log(n))

b) T(n) = Θ(n log(n))

c) T(n) = Θ(n log(n))

The master theorem is a very simple technique used to estimate the asymptotic complexity of recursive functions.

There are three cases in the master theorem, namely

a) T(n) = aT(n/b) + f(n)

where f(n) = Θ\((n^c log^k(n))\)

b) T(n) = aT(n/b) + f(n)

where f(n) = Θ(nc)

c) T(n) = aT(n/b) + f(n)

where f(n) = Θ\((n^c log(b)n)\)

Find Θ-class of the following recurrence relations using the master theorem.

a) T(n) = 2T(n/2) + n³

Comparing the recurrence relation with the master theorem's 1st case, we have a = 2, b = 2, and f(n) = n³.

Here, c = 3, k = 0, and log(b) a = log(2) 2 = 1.

Therefore, the value of log(b) a is equal to c.

Hence, the time complexity of

T(n) is Θ\((n^c log(n))\) = Θ\((n^3 log(n))\).

b) T(n) = 2T(n/2) + 3n - 2

Comparing the recurrence relation with the master theorem's 2nd case, we have a = 2, b = 2, and f(n) = 3n - 2.

Here, c = 1.

Therefore, the time complexity of T(n) is Θ(nc log(n)) = Θ(n log(n)).

c) T(n) = 4T(n/2) + n log(n)

Comparing the recurrence relation with the master theorem's 3rd case, we have a = 4, b = 2, and f(n) = n log(n).

Here, c = 1 and log(b) a = log(2) 4 = 2.

Therefore, the time complexity of T(n) is Θ\((n^c log(b)n)\) = Θ(n log(n)).

Therefore, the Θ-class of the following recurrence relations is:

a) T(n) = Θ(n³ log(n))

b) T(n) = Θ(n log(n))

c) T(n) = Θ(n log(n)).

Hence, the solution is given by,

a) T(n) = Θ(n³ log(n))

b) T(n) = Θ(n log(n))

c) T(n) = Θ(n log(n))

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The area under a Normal curve depends on the interval being considered and the parameters of the Normal distribution, such as its mean and standard deviation.

To determine which of the given intervals corresponds to the smallest area under a Normal curve, we need to consider the properties of the Normal distribution. The Normal distribution is a symmetric bell-shaped curve that is completely determined by its mean and standard deviation. The mean, denoted by µ, is the center of the curve, while the standard deviation, denoted by σ, determines the spread of the curve.

Option b) µ to µ + 3σ corresponds to the interval that covers almost all the area under a Normal curve, as about 99.7% of the area lies within three standard deviations of the mean. Therefore, this option cannot correspond to the smallest area under a Normal curve.

Option a) Q1 to Q3 and option d) µ - σ to Q3 both cover more area than option c) Q1 to µ + 2σ. The interval Q1 to Q3 covers the entire middle 50% of the distribution, while the interval µ - σ to Q3 covers at least 50% of the distribution, as almost all the area lies within three standard deviations of the mean. Therefore, option c) Q1 to µ + 2σ corresponds to the smallest area under a Normal curve.

In summary, the interval corresponding to the smallest area under a Normal curve is option c) Q1 to µ + 2σ.

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Answer:

1/4x-7/4

Step-by-step explanation:

Answer:

I'm 50% sure it is B)8,4

We want to find the coordinates of a point D such that AB is parallel to CD.

The coordinates of D are: D (10, 7).

We have that:

If we want CD to be parallel to AB, then the change in the components between D and C must be the same as the change in the components between B and A.

The change in the x-component between B and A is:

8 - 1 = 7

The change in the y-component between B and A is:

4 - 7 = -3

Then the coordinates of D are given by:

x = 3 + 7 = 10

y = 10 + (-3) = 7

The coordinates of D such that CD is parallel to AB are:

D(10, 7).

Notice that this is just an option, there are a lot of other possible coordinates that will also make CD parallel to AB, this is just the easier one to find.

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