A tap can fill a tank in 6 hours after half the tank is filled, three more similar taps are opened what is the total time taken to fill the tank completely?.

Answer:

2 -2 = 0

hope this helps <3

9514 1404 393

Explanation:

We will prove by contradiction. We assume that the given sum is rational, and the ratio can be expressed in reduced form by p/q, where p and q have no common factors.

  \(\sqrt{n-1}+\sqrt{n+1}=\dfrac{p}{q}\qquad\text{given}\\\\(n-1)+2\sqrt{(n-1)(n+1)}+(n+1)=\dfrac{p^2}{q^2}\quad\text{square both sides}\\\\2(n+\sqrt{n^2-1})=\dfrac{p^2}{q^2}\qquad\text{simplify}\)

We note that this last equation can have no integer solutions (n, p, q) for a couple of reasons:

There can be no integer n for which the given expression is rational.

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

3/5

Step-by-step explanation:

put into fraction form:  21/35

21/35 (divide by 7/7)

3/5

Answer:

We just have to make the ratio into a fraction and simplify:

\(21:35=\frac{21}{35}=\frac{3}{5}\)

\(12:15=\frac{12}{15} =\frac{4}{5}\)

\(8:20=\frac{8}{20}=\frac{2}{5}\)

\(2:10=\frac{2}{10} =\frac{1}{5}\)

The coordinates' weighted average is 4

The given parameters are:

Coordinate 2 has a weight of 2

Coordinate 3 has a weight of 2

Coordinate 10 has a weight of 1

The weight average is then calculated as:

Weight average = Sum of (Weight * Coordinate)/Sum of Weights

So, we have:

Weight average = (2 × 2 + 3 ×2 + 10 × 1)/(2 + 2 + 1)

Evaluate the quotient

Weight average = 4

Hence, the weight average of the coordinates is 4.

To learn more about Average refer to:

https://brainly.com/question/28368339

#SPJ1

If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

To know more about linear regression, click here

https://brainly.com/question/32505018

#SPJ11

Answer:

\( →{6}^{3} \times {9}^{3} \\ = ( {2}^{3} \times {3}^{3} ) \times ( {3}^{3} \times {3}^{3} ) \\ = {2}^{3} \times {3}^{3} \times {3}^{3} \times {3}^{3} \\ = \boxed{{2}^{3} \times {3}^{9} }✓\)

ANSWER

x = 2/5

EXPLANATION

We want to solve the equation below:

To do this, we cross multiply:

2x * 25 = 5 * 4

50x = 20

That is the solution.

Answer:

Look at my in the photo

Step-by-step explanation:

Solution for given inequality is \(-5\leq x\leq -2\)

                                         or         \(x\) ∈ [ -5 , -2]

 a.) Solve  -24 <= 4x - 4 <= -12

Case I :

                      -24 <= 4x - 4                          

                     \(-24 + 4\leq 4x\)

                                       \(-20 \leq 4x\)

                                             \(\frac{-20}{4} \leq x\)

                                                    \(-5\leq x\)   ........ (I)

Case II :

                     4x - 4 <= -12

                      \(4x\leq -12+4\)

                           \(4x\leq -8\)

                              \(x\leq \frac{-8}{4}\)

                                 \(x\leq -2\)   ......................(II)

combining (I) and (II) we get,

                              \(-5\leq x\leq -2\)

b). graph of

                              \(-5\leq x\leq -2\) , refer the attachment

c). Solution in interval

                                   \(x\) ∈ [ -5 , -2]

To learn more about Inequality visit: https://brainly.com/question/20383699

#SPJ9

Answer:

124°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 7 ( heptagon has 7 sides ) , then

sum = 180° × 5 = 900°

let x be the final interior angle , then

776° + x = 900° ( subtract 776° from both sides )

x = 124°

Answer:

C. 124

Step-by-step explanation:

E2020

The transformation that would linearize the data for volume and time is ln(Seconds), ln(cm3).

The correct option is (D)

To determine which transformation will linearize the data, we can look at the form of the relationship between volume and time in the scatterplot. Since the pattern is curved, it suggests that the relationship may be exponential. Therefore, we can try taking the logarithm of the volume or the time or both and see which transformation produces a linear relationship.

A) Seconds, cm3: This transformation does not involve taking the logarithm of either variable, so it is unlikely to linearize the relationship.

B) ln(Seconds), cm3: This transformation takes the natural logarithm of the time variable. It may help to linearize the relationship if the relationship is exponential with respect to time.

C) Seconds, ln(cm3): This transformation takes the natural logarithm of the volume variable. It is unlikely to linearize the relationship because it does not address the potential exponential relationship with respect to time.

D) ln(Seconds), ln(cm3): This transformation takes the natural logarithm of both variables. It is a good choice because it can linearize an exponential relationship between the two variables.

Therefore, the transformation that would linearize the data for volume and time is D) ln(Seconds), ln(cm3).

Learn more about Volume of water at:

https://brainly.com/question/17322215

#SPJ1

A regular hexagon has 6 congruent sides.

The dimension of the rectangle is 8 inches by \(4\sqrt 3\) inches

Start by calculating the value of x using the following cosine ratio

\(\cos(60) = \frac{x}{4}\)

Make x the subject

\(x = 4 * \cos(60)\)

Evaluate cos(60)

\(x = 4 * 0.5\)

\(x = 2\)

So, the dimension of the rectangle is:

\(Length = 2x + 4\)

\(Width = 2x\sqrt 3\)

This gives

\(Length = 2 * 2 + 4\)

\(Length = 8\)

\(Width = 2 * 2\sqrt 3\)

\(Width = 4\sqrt 3\)

Hence, the dimension of the rectangle is 8 by \(4\sqrt 3\)

Read more about hexagons at:

https://brainly.com/question/2264170

Answer:

C. plane HJG

Step-by-step explanation:

hope this helped :-)

The angle of elevation of an airplane is the angle formed by the horizontal line and the line of sight between an observer on the ground and the airplane in the sky.

If the observer is looking straight ahead at the horizon, the angle of elevation is 0 degrees. If the observer is looking straight up at the airplane, the angle of elevation is 90 degrees. The angle of elevation will be somewhere between 0 and 90 degrees if the observer is looking at the airplane at any other point in the sky.

To find the angle of elevation of an airplane, you can use the formula:
tanθ = opposite/adjacent

Where θ is the angle of elevation, opposite is the vertical distance between the observer and the airplane, and adjacent is the horizontal distance between the observer and the airplane.

By rearranging the formula and using a calculator, you can find the angle of elevation:

θ = tan^-1(opposite/adjacent)

For example, if the vertical distance between the observer and the airplane is 5000 feet and the horizontal distance is 8000 feet, the angle of elevation would be:

θ = tan^-1(5000/8000)
θ = 32.005 degrees

So the angle of elevation of the airplane in this example is 32.005 degrees.

Know more about angle of elevation here:

https://brainly.com/question/27243378

#SPJ11

Answer:

12 cups of flour needed for 8 tablespoons of sugar

Step-by-step explanation:

2 times 4 = 8

4 times 3 equals 12

Answer:

29

Step-by-step explanation:

count the rectangles one by one :)

Answer:

1808 people

Step-by-step explanation:

Find 1% by dividing by 100.

1600/100=16

Multiply 16 by 13.

208

Add it to 1600.

1808

There are now 1808 people.

The probability that the randomly selected student chose running is; 12/57

Total number of students = 57

Total number of boys = 24

Total number of girls = 33

Number of Girls that chose football = 17

Number of boys that chose football = 14

Number of students that chose Tennis = 14

Now, number of students that chose running will be;

Number of students that chose running = 57 - (31 + 14) = 12

Thus, probability that a randomly selected student chose running = 12/57

Read more about probability selection at; https://brainly.com/question/251701

Solving this equation for dy/dx we get, dy/dx = (3y^(1/2))/2Now substituting this value in given options we get option A: O (3y-1)/ (2y^-1/2 - 3x) dx. Therefore, Option A is the correct answer.

The correct answer is option A:

O (3y-1)/ (2y^-1/2 - 3x) dx.

Explanation:Given equation is

4y^(1/2) - 3xy + x

= 0.

The first step is to differentiate this equation with respect to x then we get,

4*(1/2)*y^(-1/2) - 3y + 1

= 0

Now rearranging this equation, we get, 2/y^(1/2)

= 3y - 1

Taking the derivative of both sides, we get,

(d/dx) (2/y^(1/2))

= (d/dx) (3y - 1)

Now we substitute the values of dy/dx and we get,

-1/(2y^(-1/2)) dy/dx

= 3dy/dx .

Solving this equation for dy/dx we get, dy/dx

= (3y^(1/2))/2

Now substituting this value in given options we get option A:

O (3y-1)/ (2y^-1/2 - 3x) dx.

Therefore, Option A is the correct answer.

To know more about equation visit:

https://brainly.com/question/29657983

#SPJ11

The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

To learn more about average here:

https://brainly.com/question/24057012

#SPJ4

The horizontal distance that the submarine traveled to the nearest meter is 219 meters.

To solve this problem, we can use trigonometry. Let's call the horizontal distance that the submarine traveled "x".

We know that the angle of inclination of the submarine's path is 21º. This means that if we draw a right triangle with the submarine's path as the hypotenuse, the angle between the hypotenuse and the horizontal (i.e. the angle of inclination) is 21º.

Using trigonometry, we can relate the horizontal distance "x" to the distance measured along the submarine's path (600 m) and the angle of inclination (21º):

sin(21º) = x / 600

Solving for "x", we get:

x = 600 * sin(21º) ≈ 218.9

Therefore, the horizontal distance that the submarine traveled to the nearest meter is 219 meters.

Learn more about distance t here:

https://brainly.com/question/15256256

#SPJ11

Step-by-step explanation:

p^m × p^n .....since the base is the same, add the powers

p^(m + n)

p^m + n

Thus, the growth rate of the given function is decreasing over the entire interval (-∞, ∞).

The given function is f(x) = 241 3e-1.3x.

We need to find the interval over which the growth rate of the function is decreasing.

For this, we need to find the first derivative of the given function.

So, f'(x) = -394.08e-1.3x.

Let us find the second derivative of the given function.

So, f''(x) = 510.144e-1.3x.

On differentiating the function twice, we observe that the second derivative f''(x) is always positive. It means that the slope of the tangent to the graph of the function is increasing.

So, the growth rate of the function is decreasing over the whole interval.

As the second derivative is positive, the function is always concave up.

Hence, it has no points of inflection. Therefore, the interval over which the growth rate of the function is decreasing is from negative infinity to positive infinity.

Thus, the growth rate of the given function is decreasing over the entire interval (-∞, ∞).

To know more about function  visit:

https://brainly.com/question/30721594
#SPJ11

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

To learn more about Accelation , refer:

https://brainly.com/question/10307723

#SPJ4

The correct answer would be "A group of 400 doctors sent a questionnaire."Option B.

A sample is defined as a subset of a population, so a small group of people that represents the whole is an example of a sample. A population, on the other hand, is a total set of individuals, objects, or observations in a given study. A sample is a subset of a population that is chosen for study.

So, the correct answer would be "A group of 400 doctors sent a questionnaire."

Option B represents a sample because only 400 doctors were surveyed to represent the entire population of doctors. Option A represents a population because all students at a small college represent the entire population of students at the college.

Option C represents a population because all employees in a factory represent the entire population of workers in the factory.

Option D represents a population because all cars of a certain make and model from one year represent the entire population of cars of that make and model from that year.

A group of 400 doctors sent a questionnaire, since it's a smaller group representing the larger population of doctors, it is the only option that represents a sample.

Know more about population here,

https://brainly.com/question/15889243

#SPJ11

Answer:

-6f

Step-by-step explanation:

Answer:

The absolute value of f(-6) is 6

Answer:

The angle is 35 degrees.

Step-by-step explanation:

180-20-40= 120

180-120-25= 35

The sum of the x and y coordinates of D" is 6

From the question, we have the following parameters that can be used in our computation:

D = (-1, -3)

The transformation rule is given as

T(-2,0) R180° about the origin.

Mathematically, this can be represented as

(x, y) = (-x + 2, -y)

So, we have the following representation

D" = (1 + 2, 3)

Evaluate the like terms

D" = (3, 3)

When the coordinates are added, we have

Sum = 3 + 3

Evaluate

Sum = 6

Hence, the sum is 6

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Complete question

A"B"C"D" is the image of ABCD after the composition of transformations

T(-2,0) R180° about the origin.

What is the sum of the x and y coordinates of D" if the coordinate of point D is (-1, -3)?