Nizhoni adds water at a constant rate to a 2L reservoir in a water filtering pitcher until it is full. At the same time, water goes through the filter and out of the reservoir, into the pitcher. It takes 5/11 minutes to fill the reservoir, then another 3 1/3 minutes for the reservoir to empty. At what rate does Nizhoni add water to the reservoir?

Answer: 1 tablespoon

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

3/4 x 2/11 = 3/22

Step by step explanation

multiply both numerators together: 3 x 2 = 6

multiply both denominators together: 4 x 11 = 44

3 x 2 = 6                   4 x 11 = 44     = 6/44

Divide 6 by 2 and 44 by 2.

6 / 2 = 3

44 / 2 =22

thus your answer is 3/22

Hope this helps! :)

The sum of the infinite geometric series –288 –216 –144 –72 is -1152.

The sum of an infinite number of terms having a constant ratio between successive terms is called as infinite geometric series.

Given series, -288, -216, -144, -72, ...

The sum of the infinite geometric series can be calculated as:

Sum = \(\dfrac{a}{1 -r}\)

Here, 'a' is the first term of the series and 'r' is the common ratio.

a = -288

The common difference can be calculated as:

r = \(\dfrac{(-216)}{(-288)}\)

= \(\dfrac{3}{4}\)

Substitute the values in the sum formula:

Sum = \(\dfrac{-288}{1 - \dfrac{3}{4}}\)

It can be simplified as:

Sum =  -288 \(\times\) 4

             = -1152

So, the sum of the infinite geometric series is -1152.

Learn more about geometric series here:

https://brainly.com/question/30264021

#SPJ12

Answer:

\(\boxed{\sf x = 11.7}\)

\(\boxed{\sf b = 9.4}\)

Sine Rule states:

\(\sf sin(x) = \dfrac{opposite}{hypotenuse}\)

\(\hookrightarrow \sf sin(51) = \dfrac{x}{15}\)

\(\hookrightarrow \sf x = 15sin(51)\)

\(\hookrightarrow \sf x = 11.657 \ \ \approx \quad 11.7\)

Additional, cosine rule:

\(\sf cos(x) = \dfrac{adjacent}{hypotenuse}\)

\(\hookrightarrow \sf cos(51) = \dfrac{b}{15}\)

\(\hookrightarrow \sf b = 15cos(51)\)

\(\hookrightarrow \sf b = 9.4398 \quad \approx \ \ 9.4\)

The slope is the ratio of the vertical change between two points the rise to the horizontal change between the same two points.The slope of a line is respresented with (\(x_{1}\),\(y_{1}\)) represents the first point whereas (\(x_{2}\),\(y_{2}\)) represents the second point.

we find the slope of the graph of the function at the specified point firstly we pick two points on the given line and determine the cordinates.find out the difference in y coordinates of two points and also find out the difference in x coordinates of two points ,than divided the difference in y coordinates by the difference in x coordinates.

To learn more about slope of the graph,click here.

brainly.com/question/6977538

#SPJ4

(a) For \(\(g(x) = x^2(x - 2)\)\), we need to evaluate \(\(g(2)\)\).

\(\(g(2) = 2^2(2 - 2) = 4(0) = 0\)\).

(b) For \(\(g(x) = x^2(x - 2)\)\), we need to evaluate \(\(g\left(\frac{3}{2}\right)\)\).

\(\(g\left(\frac{3}{2}\right) = \left(\frac{3}{2}\right)^2\left(\frac{3}{2} - 2\right) = \frac{9}{4} \cdot \left(-\frac{1}{2}\right) = -\frac{9}{8}\).\)

(c) For \(\(g(x) = x^2(x - 2)\)\), we need to evaluate \(\(g(c)\)\).

\(\(g(c) = c^2(c - 2) = c^3 - 2c^2\).\)

(d) For \(\(g(x) = x^2(x - 2)\)\), we need to evaluate \(\(g(t + 2)\)\).

\(\(g(t + 2) = (t + 2)^2((t + 2) - 2) = (t^2 + 4t + 4)(t) = t^3 + 4t^2 + 4t\)\).

(a) When evaluating \(\(g(2)\)\), we substitute \(\(x = 2\)\) into the function. Since \(\((2 - 2)\)\) equals 0, multiplying by \(\(x^2\)\) gives us 0 as the result.

(b) When evaluating \(\(g(\frac{3}{2})\)\), we substitute \(\(x = \frac{3}{2}\)\) into the function. Simplifying the expression results in \(\(-\frac{9}{8}\)\).

(c) When evaluating \(\(g(c)\)\), we substitute \(\(x = c\)\) into the function. Expanding the expression gives us \(\(c^3 - 2c^2\)\).

(d) When evaluating \(\(g(t + 2)\)\), we substitute \(\(x = t + 2\)\) into the function. Expanding the expression gives us \(\(t^3 + 4t^2 + 4t\)\).

To know more about evaluating functions and simplifying expressions, refer here:

https://brainly.com/question/11270390#

#SPJ11

Answer:

Step-by-step explanation:

Answer:

B. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.

Answer:

The width would be 8 inches

Step-by-step explanation:

50% of 16 is 8

Answer:

The answer is D

Step-by-step explanation:

Believe me, dawg!

The series is (d)

A series is the cumulative sum of a given sequence of terms.

Given:

2.5 + 2.5(1.2) + 2.5(1.2)2 + ⋯ + 2.5(1.2)87

If we look at the power it is always one less the term i.e., for first term the value of k=0.

So, the series in the form of summation can be written as

\(^{88}\sum_{k=1}\) 2.5 (1.2)^(k-1)

Learn more about series here:

https://brainly.com/question/12707471

#SPJ2

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

The objective function can be written as q = x^2(22 - x) or q = (22 - y)^2y, depending on whether you express it in terms of x or y, respectively.

To write the objective function q = x^2y in terms of x, we can substitute the value of y from the constraint equation x + y = 22.

Given x + y = 22, we can solve for y as y = 22 - x.

Substituting this value of y into the objective function q = x^2y, we get:

q = x^2(22 - x)

To write the objective function in terms of y, we can solve the constraint equation for x as x = 22 - y.

Substituting this value of x into the objective function q = x^2y, we get:

q = (22 - y)^2y

So, the objective function can be written as q = x^2(22 - x) or q = (22 - y)^2y, depending on whether you express it in terms of x or y, respectively.

To learn more about objective function, refer:-

brainly.com/question/29185392

#SPJ11

Algebraic equations with equivalent solutions or roots are called equivalent equations.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. An equivalent equation is one that is created by adding or subtracting the same quantity or expression from both sides of a given equation.

Here,

Equations in algebra are referred to as equivalent if they have the same answers or roots. The same quantity or expression must be added to or subtracted from both sides of an equation to produce an equivalent equation.

To know more about equation,

https://brainly.com/question/28243079

#SPJ4

Answer:

146 hamburgers

Step-by-step explanation:

Use x as the number of hamburgers

and 2x as the number of cheeseburgers sold

x + 2x = 438

3x = 438

x = 146

Answer:

32

Step-by-step explanation:

see it in figure hope it will help you

Answer:

x = 32

Step-by-step explanation:

3/4 x -5=1/2 x + 4

3/4 x - 1/2 x= 3+5

by solving the left hand side equation we get

1/4x and in right hand side equation we get 8

now,

1/4x = 8

x = 8 divided by 1/4

x = 8 Multiply by 4

x= 32

Answer:

Step-by-step explanation:

Meeee

The larger the group of answer choices, the less likely our data represent the model due to larger differences between the expected frequencies.

Based on the terms provided, we want to know the relationship between the size of a group of answer choices, differences between expected frequencies, and how likely the data represents a model.

The larger the group of answer choices, the larger the differences between the expected frequencies, and the less likely our data represent the model.

This is because a larger group of answer choices increases the complexity of the dataset, which may lead to more significant deviations from the expected frequencies, ultimately making it less likely that the data represents the given model.

For similar question on differences.

https://brainly.com/question/26726803

#SPJ11

The number of columns in the first matrix must equal the number of rows in the second matrix in order to multiply matrices with different dimensions.

    3. Determine the dot product of the corresponding row in matrix A          and the corresponding column in matrix B for each element in matrix C.

    4: The final response is matrix C, which is the union of the 2x3 matrix A and the 3x4 matrix B.

     Therefore, the result is a 2x4 matrix, which is produced by taking the dot product of the rows and columns of matrix A and matrix B.

To know more about matrices at :

brainly.com/question/12088021

#SPJ4

Answer: The correct answer is A :)

The quadratic equation 4y² + 3 - 4y = 0 can be solved using the quadratic formula, resulting in real number solutions.

To solve the quadratic equation 4y² + 3y - 4 = 0 using the quadratic formula, we start by identifying the coefficients. In this case, the coefficient of the quadratic term (y²) is 4, the coefficient of the linear term (y) is 3, and the constant term is -4.

Using the quadratic formula: y = (-b ± √(b² - 4ac)) / (2a), we can substitute the values into the formula:

y = (-3 ± √(3² - 4 * 4 * -4)) / (2 * 4)

Simplifying the expression within the square root:

y = (-3 ± √(9 + 64)) / 8

y = (-3 ± √73) / 8

The solutions to the equation are given by the two possibilities:

   y = (-3 + √73) / 8

   y = (-3 - √73) / 8

These are the real number solutions to the quadratic equation 4y² + 3y - 4 = 0. The "±" symbol indicates that there are two possible solutions, one obtained by adding the square root and the other by subtracting it.

To simplify the solutions further,  can approximate the square root of 73, if desired. However, if the instructions specifically state to leave the answer in radical form, then the expression (-3 ± √73) / 8 is the simplified solution.

To learn more about quadratic - brainly.com/question/29133429

#SPJ11

An equation represents the line that passes through the point (4, -5) and is perpendicular to the line x + 2y = 5 is 2x + y = 3.

So, the correct answer is C.

The equation that represents the line passing through the point (4, -5) and perpendicular to the line x + 2y = 5 can be found by first identifying the slope of the given line and then finding the slope of the perpendicular line.

To find the slope of the given line, rewrite it in the slope-intercept form (y = mx + b), where m represents the slope:

x + 2y = 5 → 2y = -x + 5 → y = -1/2x + 5/2.

The slope (m) of this line is -1/2.

The slope of a line perpendicular to this one would be the negative reciprocal of the original slope, so m_perpendicular = 2.

Now, use the point-slope form of a linear equation (y - y1 = m(x - x1)) with the point (4, -5) and the perpendicular slope:

y - (-5) = 2(x - 4) → y + 5 = 2x - 8.

Rewrite the equation in standard form (Ax + By = C):

2x - y = 3.

Thus, the correct equation is 2x - y = 3, which corresponds to option C.

Learn more about equations at

https://brainly.com/question/29112593

#SPJ11

Answer:

multiply both sides by 4

Step-by-step explanation:

Answer:

- 3/2 is the answer:)

Step-by-step explanation:

Move the constant to the right

Calculate

Divide by both sides

Hope this helps!

Answer:

-3(-11+12x)

Step-by-step explanation:

that should be the answer

Ileana  have to invest for 8 years :

Simple interest is a simple and straightforward formula for figuring out how much interest will be charged on a loan. Simple interest is calculated by dividing the daily interest rate by the principle and the number of days between payments.

The principal amount must be multiplied by the time, interest rate, and time period in order to calculate simple interest. Simple Interest = Principal x Interest Rate x Time is the written formula.

Principal amount = $15,500

interest = $5,084

Time = ?

Rate = 4.1% simple interest

to find the simple interest :

                                         I = \(\frac{(p*t*r)}{100}\)

       Then:

         Time = \(\frac{I*100}{P*R}\)

                  = \(\frac{(5084*100)}{(15500*4.1)}\)

                  = \(\frac{508400}{63,550}\)

                  = 8 years

Ileana  have to invest for 8 years

To know more about simple intertest visit:

https://brainly.com/question/24217271

#SPJ4

The minimum number of hours of sleep is 4 and maximum number of hours of sleep is 10

Given that William conducted a random survey of the students in his school regarding the number of hours of sleep they got last night.

The box plot shows the release of his survey.

The minimum number of hours of sleep is 4

The maximum number of hours of sleep is 10

The Q₃ is 8

Q₁ is 5

IQR is 8-5 which is 3

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ1

Answer:

∠ BCA = 45°, ∠ AWD = 90°

Step-by-step explanation:

All angles are right angles by definition.

Diagonals bisect the angles , so

∠ BCA = 45°

Diagonals are perpendicular bisectors of each other, so

∠ AWD = 90°

Answer:

3

Step-by-step explanation:

a cube has 6 sides, and each side is 0.5, if you add 0.5 6 times you will get 3