Container A has 600 mL of water and is being filled at a rate of 12 mL per minute. Container B has 1500 mL of water and is being drained at 12 mL per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

Answer:

8 footballs

Step-by-step explanation:

      We will turn 7 punds into oz.

7 * 16 = 112 oz

      Now, we will divide the eight of the carton by the weight of a single football.

112 oz / 14 oz = 8 footballs

There are 8 footballs in the carton

True. Post-implementation evaluation refers to the process of evaluating the performance and effectiveness of a new system after it has been implemented.

It involves assessing the extent to which the system meets the intended objectives, as well as its overall quality and impact on the organization. The evaluation can be carried out through various methods such as user feedback, performance metrics, and system testing.

Therefore, post-implementation evaluation is primarily concerned with assessing the quality of a new system and its ability to deliver the expected benefits to the organization.

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Every 3rd term that occurs after the first term in the second pattern (that is, the 4th term, 7th term, 10th term, 13th term, 16th term, etc.), all represent the terms of the first pattern.

Both Patterns start at 0

Pattern 1 follows the rule, add 9.

Pattern 1 has terms, 0, 9, 18, 27, 36, 45, 54, 63, 72, 81....

Pattern 2 follows the rule, add 3.

Pattern 2 has terms, 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54...

It is evident that all of the terms of the first pattern will eventually occur in the second pattern at some regular points.

They both have the same first terms.

Both Patterns have terms that are all multiples of 3.

Every 3rd term that occurs after the first term in the second pattern (that is, the 4th term, 7th term, 10th term, 13th term, 16th term, etc.), all represent the terms of the first pattern.

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An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

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Answer:

\(\sqrt[8]{197^{7} }\)

Step-by-step explanation:

\(\sqrt[8]{197^{7} }\)

Answer:

1. 5 child tickets

Step-by-step explanation:

So 2 adult tickets would be 24$

So we do 64-24=40. So each child tickets cost 8$

So we do 40/8=5

So for number 1 they can buy 5 child tickets.

The multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another.

Unlike the other basic operations, when dividing natural numbers there is sometimes a remainder that will not go evenly into the dividend.

Division has two parts dividend and divisor.

Division is not commutative, meaning that a / b is not always equal to b / a.

Division is also not, in general, associative.

Division is traditionally considered as left-associative.

Division is right-distributive over addition and subtraction.

Division is shown in algebra and science by placing the dividend over the divisor with a horizontal line, also called a fraction bar, between them. For example, "a divided by b" can written as:

a/b

Now it is given that,

5 divided by 1/3

This can be expressed as,

5 divided by 1/3 = 5 ÷ 1/3

Since to convert the division of fraction into multiplication, we reciprocate the fraction

So, applying division we get,

5 ÷ 1/3 = 5 x 3

So, the multiplication equation is,

5 x 3

Now multiplying 5 and 3 we get,

5 x 3 = 15

this is the required multiplication equation of 5 divided by 1/3.

Thus, the multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.

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Answer:

pretty sure the answer is 1 inch

Step-by-step explanation:

0.2 x 5 = 1

Answer:

Exponential growth refers to an increase based on a constant multiplicative rate of change over equal increments of time,that is a percent increase of the original amount over time.

Step-by-step explanation:

add up his total score in all the 5 tests

370+85 =455

divide by the number of tests

455÷5=91

The number described in the question, whose stated percentage difference is 36, is 80.

Let us represent the number as x. So, the increased number will be -

Increased number = x + 20%×x

Simplify percentage

Increases number = x + 0.2x

Add the digits

Increased number = 1.2x

Similarly, decreased number = x - 25%×x

Converting percentage

Decreased number = x - 0.25x

Subtract the digits

Decreased number = 0.75x

Representing the difference

1.2x - 0.75x = 36

Subtract

0.45x = 36

Divide

x = 80

Hence, the number is 80.

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a) The congruent sides are:

As they have the same lengths.

b) The diagonals AC and BD are congruent.

Congruent figures are figures that have the same side lengths, that is, the side lengths of the figures have the same numerical measures.

The lengths of each side will be obtaining using the formula for the distance between two points, \((x_1,y_1)\) and \((x_2, y_2)\), given as follows:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates of the vertices of the rectangle are given as follows:

A(0,3), B(3,6), C(9,1), D(6,-2).

Hence the lengths of each segment is given as follows:

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Answer:

So there are 6 numbers

The mean is 14.83

and the mean absolute deviation is 7.83

Step-by-step explanation:

Answer:

Cost for 6 Miles: 7.50$

Cost in General: 11$

Step-by-step explanation:

1.25x6=7.50

7.50+3.50=11

Answer:

Step-by-step explanation:

4i+19=47

4i=28

i=28/4

i=7

4i+19=47

4i=28

i=28/4

i=7

Serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof is 71.8 degree.

Measurement of Angle:

The measurement of angles is done using basic geometric tools such as protractors and compasses. This tool helps to find precise measurements of angles. A protractor helps provide accurate measurements of angles, while compasses help construct angles. Angles are measured in three ways: degrees, radians, and revolutions.

According to the Question:

Suppose the measure of angle is θ, then we have

   Sinθ = 22.8/24

⇒ Sinθ = 0.95

Therefore,

θ = Sin⁻¹ (0.95)

  = 71.8 degree.

Therefore, Serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof is 71.8 degree.

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The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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Answer:

table C represents a linear function.

Answer: Its the first one

Step-by-step explanation:

Took the test review and got it correct.

Hope this helps peeps!

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

You turn the fractions improper, 9/2 x 8/3. Multiply the top numbers and then multiply the bottom. Simplify to get 12.

Answer

2 =1

3=1.4

Step-by-step explanation:

hb=2A

b=2·5

10=1

hb=2A

b=2·14

20=1.4

Step-by-step explanation:

2 .) Using Pythagorean Theorem,

    \(a^{2} + b^{2} = c^{2}\)

    \(5^{2}+ 10^{2} = c^{2}\)

     \(25 + 100 = c^{2}\)

      \(125 = c^{2}\)

      \(\sqrt{125}= c\)

       \(11 . 18 = c\)

3.) Using Pythagorean Theorem,

     \(a^{2} + b^{2} = c^{2}\)

     \(a^{2} + 14^{2} = 20^{2}\)

     \(a^{2}= 20^{2}- 14^{2}\)

      \(a^{2} = 400 - 196\\a^{2} = 204\)

      \(a = \sqrt{204}\)

       \(a = 14.28\)

Answer:

Php 210

Step-by-step explanation:

Basic pizza = Php 150

each additional slice of meat topping = Php 5

y = 150 + 5x

Where,

y = Total cost of pizza

x = number of additional meat topping

How much will the pizza cost if it has a dozen slices of meat

toppings?

A dozen slices of meat

toppings = 12 slices of meat

toppings

y = 150 + 5x

= 150 + 5(12)

= 150 + 60

= 210

y = Php 210

Using a linear function, it is found that the pizza will cost Php 210.

A linear equation has the following format:

\(y = mx + b\)

In which:

In this problem:

Then:

\(y = 5x + 150\)

The cost if it has a dozen slices of meat  toppings is y when x = 12, thus:

\(y = 5(12) + 150 = 210\)

The pizza will cost Php 210.

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Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to eliminate a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make one of the 9x's negative. To do this, multiply each term in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

Answer: y = -1/3x - 3

Step-by-step explanation:

First, convert this equation into slope intercept form (y = mx + b where m is the slope and b is the y-intercept)

Next, you need to find the slope of your new equation. The slope of a perpendicular line will have a slope that is the opposite reciprocal of the first slope, which means it will have the opposite sign and the fraction will be flipped (even whole numbers are a fraction - they are divided by 1)

Now that you have your slop, you need to find your y-intercept. To do this, you use the point that you are given. In the previous step, you figured out the slope, so now you can enter that into your new equation. Then, plug the x-coordinate in for x and the y-coordinate in for y in the equation.

The next step is to solve the equation like you would any other equation.

Lastly, create your new equation in slope-intercept form with the values you have found.

The centerline for the p¯p¯ chart is simply the average proportion of successes in the population, which is p = 0.04. Therefore, the centerline is 0.04.

To calculate the control limits, we need to use the formulas:

UCL = p + 3√((p(1-p))/n)
LCL = p - 3√((p(1-p))/n)

Substituting in the given values, we get:

UCL = 0.04 + 3√((0.04(1-0.04))/250) = 0.068
LCL = 0.04 - 3√((0.04(1-0.04))/250) = 0.012

Therefore, the upper control limit (UCL) is 0.068 and the lower control limit (LCL) is 0.012.
Hi! To calculate the centerline, upper control limit (UCL), and lower control limit (LCL) for the p¯ chart, we will use the given values of n = 250 and p = 0.04.

a. Centerline: The centerline is simply the value of p, which is 0.04. So, the centerline is 0.04 (rounded to 2 decimal places).

b. UCL and LCL: To calculate the control limits, we'll first find the standard deviation of the process using the formula:

Standard Deviation (σ) = √(p * (1 - p) / n) = √(0.04 * (1 - 0.04) / 250) ≈ 0.0111

Next, we'll calculate the control limits using the formula:

UCL = Centerline + 3 * σ ≈ 0.04 + 3 * 0.0111 ≈ 0.0733 (rounded to 3 decimal places)
LCL = Centerline - 3 * σ ≈ 0.04 - 3 * 0.0111 ≈ 0.0067 (rounded to 3 decimal places)

So, the centerline is 0.04, the upper control limit (UCL) is 0.073, and the lower control limit (LCL) is 0.007.

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y>/-4x+20

This is the answer :D

Answer: Start with y2-y1/x2-x1

-4+7/-6+3

Answer=2.5 or 5/2

DONT TRUST ME THOUGH

Step-by-step explanation:

The proportional relationship among the side lengths in the similar triangles is given as follows:

25/40 = 20/32 = 17.5/28.

Similar triangles are triangles that share these two features listed as follows:

The equivalent side lengths for the similar triangles are given as follows:

Hence the proportional relationship is given as follows:

25/40 = 20/32 = 17.5/28.

The triangles are similar as all these rates are of 0.625.

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The probability of selecting the chicken, cow, and human is (1/97) * (1/47) * (1/77).

When randomly selecting one creature from the sample of 97 chickens, 47 cows, and 77 humans, each creature has an equal probability of being selected. Therefore, the probability of selecting the chicken is 1 out of 97 (1/97), the probability of selecting the cow is 1 out of 47 (1/47), and the probability of selecting the human is 1 out of 77 (1/77).

To find the probability of all three events happening together (selecting the chicken, cow, and human in that order), we multiply the individual probabilities. This is because the events are independent, meaning the selection of one creature does not affect the probabilities of selecting the others.

Multiplying the probabilities, we have:

(1/97) * (1/47) * (1/77) ≈ 0.000000000274

Therefore, the probability of selecting the chicken, cow, and human is approximately 0.000000000274.

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The coordinate vector of p(t) relative to the basis b is:
[-2, 1, -1, 1]

To find the coordinate vector of p(t) relative to the basis b, we need to express p(t) as a linear combination of the vectors in b.

Let's write p(t) as:
p(t) = 2 - 8t + 3t^2

To express p(t) as a linear combination of the vectors in b, we need to solve the system of equations:
2 - 8t + 3t^2 = a(1-t^2) + b(-2t) + c(t^2) + d(1-t-t^2)

Expanding the right-hand side and collecting like terms, we get:
2 - 8t + 3t^2 = (d-a)t^2 + (-2b-c-a)t + (d-a-b)

Equating coefficients, we have:
d - a = 3

-a - 2b - c = -8
d - a - b = 2

Solving this system of equations, we get:
a = -2
b = 1
c = -1
d = 1

Therefore, we can express p(t) as a linear combination of the vectors in b as:
p(t) = -2(1-t^2) + (2t) + (-t^2 + 1 - t)
The coordinate vector of p(t) relative to the basis b is: [-2, 1, -1, 1]

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