A prism has a length of 13 meters, a height of 3 meters, and width of 13 meters. What is the volume of the prism? m3

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There are 10 faculties in the committee and 12 students.

To find a certain quantity out of many including quantities when their ratios is given use the following formula.

{(ratio of the particular quantity/sum of all the given ratios) × Total quantity}

According to the given question

The ratio of student to faculty on the First Year College Experience Committee at a certain university is 1.2 : 1.

Total number number of people in the committee is 22.

The ratio 1.2 : 1 can also be written as 12 : 10 to remove the decimal.

∴No. of students is

(12/22) × 22 = 12

AND

No. of faculty is

(10/22) × 22 = 10

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The graph of line a and line b is shown in the image attached below. The lines do not intersect each other.

To check if both lines intersect, we need to graph the system of equations. First, use the points given to write out the equations.

Line a:

Slope (m) = change in y / change in x = 6 - 4 / 8 - 0 = 2/8

m = 1/4

Find the y-intercept (b) by substituting m = 1/4, x = 0 and y = 4 into y = mx + b:

4 = 1/4(0) + b

b = 4

The equation of line a is: y = 1/4x + 4.

Line b:

Slope (m) = change in y / change in x = 1 - (-2) / 8 - 0

m = 3/8

Find the y-intercept (b) by substituting m = 3/8, x = 0 and y = -2 into y = mx + b:

-2 = 3/8(0) + b

b = -2

The equation of line b is: y = 3/8x - 2.

Both lines are graphed in the image attached below. Line a is the red line and line b is the red line. They do not intersect at any point.

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The final answer is f(x) = e ^ x + 1/2 * x ^ 2 + 3.

Given, f' * (x) = e ^ x + x and f(0) = 4. We have to find the value of f(x).

Using the given differential equation, we can find f(x) by integrating both sides with respect to x.

∫f' * (x) dx = ∫e ^ x + x dx

f(x) = e ^ x + 1/2 * x ^ 2 + c

where c is an arbitrary constant of integration.

Using the initial condition, f(0) = 4, we can solve for the value of c.

f(0) = e ^ 0 + 1/2 * 0 ^ 2 + c

4 = 1 + c

c = 3

Substituting the value of c in the general solution, we get the particular solution.

f(x) = e ^ x + 1/2 * x ^ 2 + 3

Therefore, the final answer is f(x) = e ^ x + 1/2 * x ^ 2 + 3.

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Answer:

If your question is this then your answer will be this too. Check it plzz...

Hope it helps!!!

Answer: 2+2?

Step-by-step explanation: Yes

The most likely marble to be chosen will be red.

Given  that,

Number of red marbles = 1/2

Number of blue marbles = 1/4

Number of green marbles = 1/6

Number of yellow marbles = 1/12

To compare the probabilities, we need to find a common denominator. The common denominator for 2, 4, 6, and 12 is 12.

Therefore,

Probability of choosing a red marble = 6/12

Probability of choosing a blue marble = 3/12

Probability of choosing a green marble = 2/12

Probability of choosing a yellow marble = 1/12

Since the highest probability is for red marble, it is most likely to be chosen.

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Answer:

8, 0

Step-by-step explanation:

Answer:

x=$165.50

Step-by-step explanation

4x+18=$680

680-18=$662

662/4=$165.50

Answer:

The total distance the students ran in the race would be 5 1/2 km.

Step-by-step explanation:

2/4 + 3/4 + 2 2/4 + 1 3/4 = 3 10/4 = 5 2/4 = 5 1/2 (Simplified)

a. The probability that a random person traveled by car, bus or bicycle is 0.9 or 90%.

b. None of the people travelled by any other means.

a) To calculate P(car, bus or bicycle), we need to find the probability that a person picked at random from the group traveled to work by car, bus, or bicycle. This can be done by adding the individual probabilities of each mode of transport:

P(car, bus or bicycle) = P(car) + P(bus) + P(bicycle)

P(car, bus or bicycle) = 47% + 0.13 + 3/10

To calculate this sum, we need to convert the percentages to decimals:

47% = 47/100 = 0.47

3/10 = 0.3

Now we can calculate the sum:

P(car, bus or bicycle) = 0.47 + 0.13 + 0.3 = 0.9

Therefore, the probability that a person picked at random from the group traveled to work by car, bus, or bicycle is 0.9 (or 90%).

b) No, none of the people in the group traveled to work in a different way. Since we have accounted for all the modes of transport (car, bus, and bicycle) in our calculation of P(car, bus or bicycle), there is no room for any other means of transportation.

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Answer:

x=-4

Step-by-step explanation:

Answer:

8/3

Divide both sides by the GCF, 4.

32 ÷ 4 = 8

12 ÷ 4 = 3

Answer:

the answer will be

Step-by-step explanation:

the steps is founded below

\( - 6 \frac{4}{5} \div ( - \frac{2}{5} ) \\ - \frac{34}{5} \div ( - \frac{2}{5} ) \\ - \frac{34}{5} \times - ( \frac{2}{5} ) \\ = \frac{68}{25} is \: the \: answer\)

Answer:

17

Step-by-step explanation:

I'm sure that the answer is 17.
Here's how to arrive at that answer:

-6 4/5 divided by -2/5 can be rewritten as (-34/5) divided by (-2/5) using mixed number subtraction and fraction division.

To divide fractions, we multiply the first fraction by the reciprocal of the second, so we can rewrite (-34/5) divided by (-2/5) as (-34/5) multiplied by (-5/2):

(-34/5) x (-5/2) = (34/5) x (5/2) = 17

So the final answer is 17.

Answer:

Neither even nor odd

Step-by-step explanation:

The graph of y = -5x^2 - 2x + 6 is that of a parabola that opens down.  This function is neither even nor odd because a point chosen at random is neither reflected in the y-axis nor reflected in the origin.

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

1)\(\frac{7}{12}\) 2)\(\frac{1}{4}\)  3)\(\frac{2}{12}\) 4)Rs.36 000

Step-by-step explanation:

1)1/3+1/4=4/12+3/12

             =7/12

2)remaining=12/12-7/12

                   =5/12

 other expenses=5/12*3/5

                            =1/4

3)total=7/12+1/4

          =7/12+3/12

          =10/12

          =5/6

remaining=6/6-5/6

                =1/6

fraction of the salary=1/6*2

                                  =2/12

4)1/6=rs.6000

   6/6=rs,36 000

Answer:

104/45

Step-by-step explanation:

(2.31 x 10) - 2.3/9 =

20.8/9

Which is

208/90

Simplified:

104/45

Hope this helps!

Answer:

The diver was 34 feet below sea level

The length vector is 1. So the sketch vector field f is given below. So the option a is correct.

In the given question, the vector field F by drawing a diagram like this figure.

The given vector field F is:

F(x, y) = (yi + xj)/√(x^2 + y^2)

We can write the vector field as:

F(x, y) = yi/√(x^2 + y^2) + xj/√(x^2 + y^2)

Here

F(x, y) = [y/√(x^2 + y^2)]^2 + [x/√(x^2 + y^2)]^2

F(x, y) = y^2/(x^2 + y^2) + x^2/(x^2 + y^2)

F(x, y) = (y^2+ x^2)/(x^2 + y^2)

F(x, y) = 1

F(0, y) = y/|y| = ±1

F(x, 0) = x/|x| = ±1

So the length vector is 1.

So the sketch vector field f is given below:

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The complete question is:

Sketch the vector field F by drawing a diagram like this figure.

F(x, y) = (yi + xj)/√(x^2 + y^2)

Answer:

P’(-5,2)

J’(0,3)

M’(1,2)

Y’(-4,0)

Step-by-step explanation:

when we rotate 90 degrees clockwise, we have that;

(x,y) becomes (-y,x)

Let us get the coordinates before rotation

P (2,5)

J( 3,0)

M ( 2,-1)

Y (0,4)

After the rotation, we have;

P’(-5,2)

J’(0,3)

M’(1,2)

Y’(-4,0)

Answer:

P’(-5,2)

J’(0,3)

M’(1,2)

Y’(-4,0)

Step-by-step explanation:

Different types of integer models refer to different formulations and restrictions applied to the variables in mathematical optimization problems. Here are brief explanations of three commonly used types of integer models: total integer model, 0-1 integer model, and mixed integer model.

1. Total Integer Model: In a total integer model, all variables are required to take integer values. This means that the solution must consist of only whole numbers, without any fractional or decimal values. For example, if a variable represents the number of units to produce, a total integer model would ensure that only whole units can be produced.

2. 0-1 Integer Model: In a 0-1 integer model, the variables are binary and can only take two values: 0 or 1. This formulation is often used for decision variables that represent choices or binary decisions, such as selecting or not selecting a particular option. For example, in a facility location problem, a 0-1 integer variable can represent whether a facility is open (1) or closed (0).

3. Mixed Integer Model: A mixed integer model allows a combination of integer and continuous variables in the optimization problem. Some variables can take fractional or decimal values (continuous), while others must take integer values. This formulation is useful when there is a need to model both discrete decisions and continuous quantities in the same problem. For example, in a production planning problem, the number of machines (integer) and the amount of raw material used (continuous) can be decision variables in a mixed integer model.

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To analyze the sampling distribution in this specific case, additional information is needed, such as the sample mean or the sample standard deviation. With that information, we can determine the characteristics of the sampling distribution and make further inferences or calculations based on it.

The sampling distribution of the sample mean refers to the distribution of the means obtained from multiple random samples of the same size from the population. The central limit theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normally distributed, regardless of the shape of the population distribution. The mean of the sampling distribution will be equal to the population mean, and the standard deviation of the sampling distribution, known as the standard error, is equal to the population standard deviation divided by the square root of the sample size.

Similarly, the sampling distribution of the sample standard deviation refers to the distribution of the standard deviations obtained from multiple random samples of the same size from the population. The properties of this distribution depend on the characteristics of the population distribution.

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In order to determine 1/11 as a decimal you need to divide 1 by 11. This would equal 0.0909090909090909. Rounding this number to three decimal places would equal 0.091.

Answer:

1. Consider a hot pot taken off the stove and placed on a tile countertop. At first it cools quickly. As it cools, the difference in temperature between the pot and the room air becomes less, and so it takes a long time for the pot to lose enough heat to match room temperature. Two objects at the same temperature are said to be in equilibrium.

2.  When a liquid changes into a gas it absorbs energy. When it changes into a solid it gives off energy...If a solid (dry ice for example) is allowed to sublimate into a gas, it absorbs heat - that's why it feels cold when you touch ice. So, if a gas changes into a liquid, it give off heat as an opposite effect.  Anytime you compress a gas, it gets warmer.

The next best option would be to use a table or chart to present the data instead of a graph.

If there are too many categories of statistics to present clearly on a graph, the next best option for a multiple choice question would be to use a table or a segmented bar chart. A table allows you to organize data in rows and columns, while a segmented bar chart can help you display the data in a more visually appealing manner by stacking different categories within each bar. Both of these options can effectively represent large amounts of data while still being easy to understand.

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Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Answer: 490

Step-by-step explanation: Add 326 and 164, which gets you 490. To check your work, substitute z with 490

On solving the the provided question we can say that -  here in the slope the equation will be y - 3 = 1(x+6) = y - x - 9 = 0

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

points are (-6,3)

y - y1 = m(x-x1)

y - 3 = 1(x+6)

y - x - 9 = 0

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Answer:

65/13

650/130

Step-by-step explanation:

6.5/1.3

times 10: 65/13

times 100: 650/130