Can someone explain this to me if you can.​

1. The volume of the container is 618.75 cm³

2. The amount of that will fit into the cone is 75.36cm³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

1. The shape of the container is a trapezoidal prism. The volume of a prism is expressed as;

V = base area × height

base area = 1/2(a+b)h

h = √ 26² - 13²

h = √ 676 - 169

h = √ 507

h = 22.5

base area = 1/2( 34+21) × 22.5

= 1237.5/2

= 618.75 cm³

2. Volume of a cone = 1/3πr²h

= 1/3 × 3.14 × 3² × 8

= 226.08/3

= 75.36 cm³

therefore the amount of grain that will fit into the cone is 75.36 cm³.

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The best model to represents the probability situation of a  bag of marbles is given by a bag with 5 compartments, each containing 5 marbles of one of the five colors.

Number of different colors of marbles = 5

Probability of each colored marble is 0.2.

Represent this situation using a multinomial probability distribution.

A multinomial distribution models the probability ,

Observing a certain number of each of several outcomes in a fixed number of independent trials.

The best bag of marbles to model this situation would be a bag with 5 compartments.

Each containing marbles of one of the five colors.

The number of marbles in each compartment would be chosen .

The total number of marbles in the bag is 25 .

And the probability of drawing a marble of each color is 0.2.

One possible bag of marbles that satisfies these conditions is,

5 yellow marbles

5 blue marbles

5 red marbles

5 purple marbles

5 green marbles

With this bag, the probability of drawing a marble of any given color is,

P(Yellow) = 5/25 = 0.2

P(Blue) = 5/25 = 0.2

P(Red) = 5/25 = 0.2

P(Purple) = 5/25 = 0.2

P(Green) = 5/25 = 0.2

Therefore, using the probability a bag with 5 compartments, each containing 5 marbles of one of the five colors, would best model this situation.

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Given the information on the circular graph, we have that Medicare & Medicaid has the 35%, then, in angles this is:

For the rest, we have the following:

The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D with three variables.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The functions of a point (or vector) in R2 or R3 that have real values will now be looked at. These functions will typically be defined on sets of points in R2, but there will be occasions when we utilise points in R3 and when it is more convenient to think of the points as vectors (or terminal points of vectors).

Each point f(x,y) in D is given a real number f(x,y) according to a real-valued function f defined on a subset D of R2. The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D, and the range of f is the greatest set D in R2 on which f is defined.

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Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Given that AC is a diameter of the circle, we can conclude that triangle ABC is a right triangle, with AC being the hypotenuse. The area of the circle is not directly related to finding the lengths of BC or AB, so we will focus on the given information: AB = 16 units.

Using the Pythagorean theorem, we can find BC. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the other two sides (AB and BC):

AC² = AB² + BC²

Substituting the given values, we have:

(AC)² = (AB)² + (BC)²

(AC)² = 16² + (BC)²

(AC)² = 256 + (BC)²

Now, we need to find the length of AC. Since AC is a diameter of the circle, the length of AC is equal to twice the radius of the circle.

AC = 2 * radius

To find the radius, we can use the formula for the area of a circle:

Area = π * radius²

Given that the area of the circle is 2897 units², we can solve for the radius:

2897 = π * radius²

radius² = 2897 / π

radius = √(2897 / π)

Now we have the length of AC, which is equal to twice the radius. We can substitute this value into the equation:

(2 * radius)² = 256 + (BC)²

4 * radius² = 256 + (BC)²

Substituting the value of radius, we have:

4 * (√(2897 / π))² = 256 + (BC)²

4 * (2897 / π) = 256 + (BC)²

Simplifying the equation gives:

(4 * 2897) / π = 256 + (BC)²

BC² = (4 * 2897) / π - 256

Now we can solve for BC by taking the square root of both sides:

BC = √((4 * 2897) / π - 256)

To find the measure of angle BC (mBC), we know that triangle ABC is a right triangle, so angle B will be 90 degrees.

In summary:

BC = √((4 * 2897) / π - 256)

mBC = 90 degrees

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Answer:

Rate of change: 4/3

Step-by-step explanation:

Number of sodas/Total cost

pick a number

24/18 = 4/3

Answer:

4/3

Step-by-step explanation:

Rate of change is also known as slope.

To find slope, you have to find the change in y divided by the change in x.

y2-y1 / x2-x1

The variable y in this situation is the number of sodas.

The variable x in this situation is the total cost.

28 - 24 / 21 - 18

= 4 / 3

The rate of change in this problem is 4/3.

Answer:

it is on y axis so that the points are (0,4)&(0,8) on the horizontal angle & it will touch the x axis on (-8&2)

Answer:

Step-by-step explanation:

Putting values into the equation

14(1) - 4 - 2(4)

14 - 4 - 8

10 - 8 = 2

Answer:

\(C" = (-4,-3)\)

Step-by-step explanation:

Given

\(C = (4,3)\)

Required

The coordinates of C"

From the question, we understand that:

C is reflected over x-axis to give C'

The rule to this is:

\(C(x,y) \to C'(x,-y)\)

So, we have:

\(C(4,3) \to C'(4,-3)\)

Next, C' is reflected over y-axis to give C''

The rule to this is:

\(C'(x,y) \to C"(-x,y)\)

So, we have:

\(C'(4,-3) \to C"(-4,-3)\)

Answer:

T8 = -1280

Step-by-step explanation:

Tn = ar^n - 1

T8 = ar^7

T8 = -10*2⁷

T8 = -1280

a) The amount of salt in the tank after t minutes can be determined by considering the rate at which brine enters and leaves the tank. By integrating the rate of change of salt with respect to time, we can find an expression for the amount of salt in the tank.

(b) To find the maximum amount of salt in the tank, we need to determine the point at which the amount of salt is at its highest value.

(a) Let's denote the amount of salt in the tank after t minutes as x(t). The rate at which salt enters the tank is given by the rate of brine entering (2 gal/min) multiplied by the concentration of salt in the brine (5 lb/gal), resulting in a rate of 10 lb/min.

On the other hand, the rate at which salt leaves the tank is given by the rate of the solution leaving (3 gal/min) multiplied by the concentration of salt in the tank (x(t) lb/gal), resulting in a rate of 3x(t) lb/min.

Therefore, the rate of change of salt in the tank can be expressed as dx/dt = 10 - 3x(t).

To solve this first-order linear differential equation, we can rearrange it as dx/(10 - 3x) = dt and integrate both sides.

The integral of the left side can be evaluated using partial fraction decomposition or an appropriate integration technique.

(b) To find the maximum amount of salt in the tank, we need to determine the point at which the amount of salt is at its highest value.

This occurs when the rate of change of salt is equal to zero, indicating that the amount of salt is no longer increasing.

By setting dx/dt = 0, we can solve for x(t) to find the value of the maximum amount of salt in the tank.

By solving the differential equation and evaluating the maximum amount of salt, we can provide the complete solution to the problem.

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The amount of salt in the tank at any given time t is given by (50/3)(10 - e^(-3t/50)). The maximum amount of salt in the tank is approximately 33.33lb and it occurs at t=50/3 minutes.

This relates to the field of differential equations in calculus, specifically linear differential equations with variable coefficients.

Let's denote x(t) as the amount of salt in the tank at time t. We can form the differential equation describing the situation: dx/dt = (rate in) - (rate out). Rate in is the amount of salt added per minute, which is 5lb/gal * 2gal/min = 10lb/min. Rate out is the amount of salt leaving the tank per minute, which is (x/50) * 3, since x/50 gives the concentration of salt in the solution and multiplying by 3 gives the amount leaving per minute.

The differential equation then becomes dx/dt = 10 - 3x/50. This can be integrated to solve for x(t), yielding x(t) = (50/3)(10 - e^(-3t/50)). The units are in pounds, since that was the unit for the salt amount.

As for the maximum amount of salt in the tank, that occurs when the derivative dx/dt = 0. Solving for this, we get t = 50/3 min. Substituting back into x(t), we find the maximum amount of salt is approximately 33.33lb.

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Answer:

Give brainliest to the other person they deserve it

Step-by-step explanation:

The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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Answer: 5x + 63 = 6

Step-by-step explanation:

5/9x + 7 = 2/3

9(5/9x + 7 = 2/3)

5x + 63 = 6

-Hope this helps <3

The fit statistic that can be used across different series that are in fact measured in different units is; MAPE

There are different statistics models in this regards such as;

Mean Absolute Error (MAE)

Mean Absolute Scaled Error (MASE)

Accuracy Percent (Accuracy %)

Mean Squared Error (MSE)

Root Mean Squared Error (RMSE)

Mean Absolute Percent Error (MAPE)

Now, we are told that we need the fit statistic that can be used across different series that are in fact measured in different units.

The correct one will be Mean Absolute Percent Error (MAPE) because the average absolute percent difference between the values that are fitted by the model and the observed data values.

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Answer:

Step-by-step explanation:

18<n

The minimum cost to meet the minimum requirements is $1280.

To determine the minimum cost, we need to calculate the number of platters required to meet the minimum requirements for each item (hamburgers, hot dogs, and chicken wings) and then multiply it by the cost of each platter.

Let's calculate the number of platters required for each item:

For hamburgers:

80 hamburgers / 1 burger per platter = 80 platters

For hot dogs:

95 hot dogs / 1 hot dog per platter = 95 platters

For chicken wings:

380 chicken wings / 5 chicken wings per platter = 76 platters

Now, let's calculate the cost:

For Platter A:

80 platters * $16 per platter = $1280

For Platter B:

95 platters * $20 per platter = $1900

The minimum cost would be the lower of the two costs, which is $1280. Therefore, the minimum cost to meet the minimum requirements is $1280.

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Complete Question:

The Very Possible Foods Company makes vegan versions of hamburgers, hot dogs, and chicken wings, and they offer two platters. Platter A consists of 1 burger, 3 hot dogs, and 5 chicken wings, which costs $16. Platter B consists of 2 burgers, 1 hot dog, and 8 chicken wings, which costs $20.

A barbecue organizer requires 80 hamburgers, 95 hot dogs, and 380 chicken wings. (There can be leftovers, but these are the minimum requirements.) What is the minimum cost (in dollars)?

Answer:

algebraic expression. An expression that contains at least one variable, at least one numbers and at least one operation.

Step-by-step explanation:

Answer:

expressions

Step-by-step explanation:

this is how a definition in a textbook would be written. they just put a blank in

Answer:

any point that x is 0

Step-by-step explanation:

The area to the right of z = 0.03 under the standard normal curve is 0.4880.

To find the area to the right of z = 0.03 under the standard normal curve, we need to calculate the cumulative probability. The standard normal distribution has a mean of 0 and a standard deviation of 1.

To perform this calculation, we can use either statistical tables or a calculator with built-in functions. Since the instructions mention viewing pages of a standard normal table, I will assume we are using a table to find the cumulative probability.

Page 1 of the standard normal table provides values for the cumulative probability up to a certain z-score, while page 2 provides values for the complementary cumulative probability (1 minus the cumulative probability). We are interested in the area to the right of z = 0.03, so we need to use page 2.

Looking at page 2 of the table, we find the closest value to z = 0.03, which is 0.030. The corresponding value in the table represents the area to the left of z = 0.030. However, we want the area to the right of z = 0.03.

To obtain the area to the right of z = 0.03, we subtract the value from 1. Since the table value for 0.030 is 0.5120, the area to the right of z = 0.03 is:

1 - 0.5120 = 0.4880

It is important to note that this answer is rounded to four decimal places, as requested in the question. However, in practice, it is advisable to keep more decimal places for accuracy in statistical calculations.

In summary, using the standard normal table, we found that the area to the right of z = 0.03 under the standard normal curve is approximately 0.4880.

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The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation of the line is y = x + 5

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line y = mx + c

Now,

The equation of the line passes through the points:

(-2, 3) and (2, 7).

This means,

(-2, 3) = (a, b)

(2, 7) = (c, d)

The slope is given as:

Slope:

= (d - b) / (c - a)

= (7 - 3) / (2 + 2)

= 4 / 4

= 1

Now,

The line passes through point (-2, 3) = (x, y) so,

3 = (-2) x 1 + c

3 = -2 + c

c = 3 + 2

c = 5

Now,

m = 1

c = 5

The equation of the line is y = x + 5

Thus,

The equation of the line is y = x + 5

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Answer:

The intersection points are (-1,0) and (10,0)

Step-by-step explanation:

Brainliest if i am right? uwu

Answer: the m in in the equation y = mx + b represents the slope of the graph of y = mx + b.

When we have a normal model for the sampling distribution, we cannot say that a sample mean or sample proportion is approximately 2 standard errors (ses) away from the population mean or the true proportion.

Instead, we can say that 95% of the sample proportions fall within two standard errors of the population proportion. Similar to this, the percentage of sample proportions decreases as the standard error distance decreases and increases as the standard error distance increases.

Therefore, the standard error distance will be greater than 2 standard errors (ses) if 99% of the sample proportions are within a given standard error distance of the population proportion.

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Answer:

C IS THE ANSWER

Step-by-step explanation:

plz tell me if I am right plZ

Answer:

c

Step-by-step explanation:

When measuring wind speed with a cup anemometer on a sailboat trip across the Atlantic Ocean, there are a few situations that may arise, as shown below:1. When the bearing of the axle is old, the type of error that occurs is systematic error. To reduce or overcome this error, you would need to replace the bearing to avoid it.

2. When there is turbulent flow, the type of error that occurs is random error. To overcome this error, you would have to wait for the wind to stabilize or take an average of many measurements.  3. When there is icing on the cups, the type of error that occurs is also random error.

To overcome this error, you would need to remove the ice or wait for it to melt before continuing the measurement.4. When there is strong tumbling of the sailboat, the type of error that occurs is systematic error. To overcome this error, you would need to find a way to stabilize the boat or take measurements when the boat is less unstable.

It is not well posed to use a cup anemometer to measure in-cabin air flow in a quiet environment because the device is not sensitive enough. The device needs a minimum wind speed to provide accurate readings, and it is not designed to measure low wind speeds. Therefore, it may not be the right tool for the job, and a different instrument may be more appropriate.

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The mean is 18.6.

Given the following information; z = 2.25, x = 22.2, and σ = 1.6, to find the mean, we have to apply the formula for z-score. z = (x - μ)/σWhere; z-score is represented by z, the value of X is represented by x, the mean is represented by μ and the standard deviation is represented by σSubstituting the values into the equation above;2.25 = (22.2 - μ)/1.6Multiplying both sides of the equation by 1.6, we have;1.6(2.25) = (22.2 - μ)3.6 = 22.2 - μ Subtracting 22.2 from both sides of the equation;3.6 - 22.2 = - μ-18.6 = - μ Multiplying both sides of the equation by -1, we have;μ = 18.6

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. Z-scores range from -3 standard deviations, which would fall to the extreme left of the normal distribution curve, to +3 standard deviations, which would fall to the far right. You must be aware of the mean and population standard deviation in order to use a z-score.

The z-score can show you how that person's weight compares to the mean weight of the general population.

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Answer:

if there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line. Skew Lines Never intersect and are not coplanar.

Step-by-step explanation: