17. A cistern has two inlets A and B which can fill it in 12 minutes and 15 minutes respectively.
An outlet C can empty the full cistern in 10 minutes. If all the three pipes are opened
together in the empty tank, how much time will they take to fill the tank completely?
Pls help

False. The statement that a cone and cylinder with the same height and bases of equal radius have equal volumes is incorrect.

The volume of a cone is given by the formula \(V_{cone}\) = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. On the other hand, the volume of a cylinder is given by the formula \(V_{cylinder }\) = πr²h, where r is the radius of the base and h is the height of the cylinder.

Comparing the formulas, we can see that the volume of the cone is one-third of the volume of the cylinder. Since the factor of one-third exists in the volume formula for the cone, the volumes of a cone and a cylinder with the same height and bases of equal radius are not equal. The cone will always have a volume that is one-third of the volume of the corresponding cylinder.

Therefore, the statement that the volumes of a cone and a cylinder with the same height and bases of equal radius are equal is false.

Learn more about volume here:

brainly.com/question/28058531

#SPJ11

Answer:

for each quart of yogurt, there needs to be 3/4 or 0.75 of a cup of sugar.

we know this since the ratio for cups of sugar to quarts of yogurt is 3:4. which means that for each ONE quart of yogurt there needs to be 3/4 or .75 cups of sugar

Answer:

7/12 for white sock. 5/12 black sock. 1/4 navy

Step-by-step explanation:

(white) 24-10=14 so then 14/24=7/12

(black) 10/24=5/12

(navy) 6/24=1/4

Answer: 50x - 27

Step-by-step explanation:

To find the 8th term of the arithmetic sequence, we need to first find the common difference between consecutive terms:

Common difference (d) = second term - first term

d = (8x - 3) - (x + 1)

d = 7x - 4

Now, we can use the formula to find the nth term of an arithmetic sequence:

an = a1 + (n - 1)d

where a1 is the first term, d is the common difference, and n is the term number we want to find.

Plugging in the values, we get:

a8 = (x + 1) + (8 - 1)(7x - 4)

a8 = x + 1 + 7(7x - 4)

a8 = x + 1 + 49x - 28

a8 = 50x - 27

Therefore, the 8th term of the arithmetic sequence x + 1, 8x - 3, 15x - 7 is 50x - 27.

The system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have three linear equations in three variables:

x - y - z = 0 ..(1)

2x - y + 2z = 1 ..(2)

x - y + z = -2 ..(3)

From the equation (1):

\(\rm x=y+z\)

Plug this value in the equation (2) and (3):

\(\rm 2\left(y+z\right)-y+2z=1\\\\ y+z-y+z=-2\)

After solving we get:

z = -1

y = 5

Plug the above two values in equation (1) we get:

x = 4

Thus, the system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Answer:

0

Step-by-step explanation:

1+2 =3 3-3=0

Answer:

0

Step-by-step explanation:

If X=1, substitute that value into the equation. x(1) + 2 - 3 = 1 + 2 - 3 = 3 - 3 = 0

Hope this helped! If it did, please mark me as brainliest! :) Thanks!

Step-by-step explanation:

here you go!

so basically x = 9 cars

The magnitude of the vector QP is √73.

To find the component form of the vector QP, we need to subtract the coordinates of point P from the coordinates of point Q. The component form of a vector is represented as (x, y), where x and y are the differences in the x-coordinates and y-coordinates, respectively.

Given that P = (4, 1) and Q = (-4, 4), we can calculate the component form of the vector QP as follows:

x-component of QP = x-coordinate of Q - x-coordinate of P

                 = (-4) - 4

                 = -8

y-component of QP = y-coordinate of Q - y-coordinate of P

                 = 4 - 1

                 = 3

Therefore, the component form of the vector QP is (-8, 3).

To find the magnitude of the vector QP, we can use the formula:

Magnitude of a vector = √(\(x^2 + y^2\))

Substituting the x-component and y-component of QP into the formula, we get:

Magnitude of QP = √((\(-8)^2 + 3^2\))

              = √(64 + 9)

              = √73

Therefore, the magnitude of the vector QP is √73.

In summary, the component form of the vector QP is (-8, 3), and its magnitude is √73. The component form gives us the direction and the magnitude gives us the length or size of the vector.

For more such question on magnitude  visit

https://brainly.com/question/30337362

#SPJ8

Answer:

Step-by-step explanation:

Answer:

5x- 10

20x=5

3= 17x

25-10x

6x=12

Step-by-step explanation:

Answer:

she needs to work 16 hours

Answer:

Step-by-step explanation:

lol put ur books or notes or whatever behind the device and cheat

BUT I really don’t advice u to cheat just try preparing for the exam or do as much as u can and don’t waste ur time at least u would know something while solving the exam.

Answer:

1.44m

Step-by-step explanation:

:p

Answer:

d. (2,1) and (4,2)

Step-by-step explanation:

Slope is rise/run or (y2 - y1) / (x2 - x1)

We see option D, the y increase by 1, and the x increase by 2

So, the slope of this equation is 1/2, and it matches our question.

So, D is the answer!

If you can, please give me a Brainliest! Thank you, and have a good day!

Answer:

d. (2,1) and (4,2)

y = 1/2x

2y = x

x = 2y

CHECKING

x = 2y        (substitute (2,1) and (4,2)

2 = 2(1)

2 = 2          correct

x = 2y

4 = 2(2)

4 = 4         correct

Step-by-step explanation:

Step-by-step explanation:

yes i ccsan help but i dont know what your question is

the answer is 2.66 (continuous sixes)

is this what the question is?

Answer:

a=1

b=-1

c=1

value of discriminant =-3

quadratic function will intersect x-axis 0 times

Step-by-step explanation:

Answer:

The ratio of the volume of the triangular prism to the volume of the cuboid is \(\frac{3}{20}\).

Step-by-step explanation:

Geometrically speaking, the volume of the prism is equal to the product of the area of the base and its height. Then, the volumes of the triangular prism and the cuboid are, respectively:

Triangular prism

\(V_{tp} = \frac{1}{2}\times 5\,cm \times 4\,cm \times 9\,cm\)

\(V_{tp} = 90\,cm^{3}\)

Cuboid

\(V_{c} = 6\,cm\times 5\,cm \times 20\,cm\)

\(V_{c} = 600\,cm^{3}\)

Lastly, the ratio of the volume of the triangular prism to the volume of the cuboid is:

\(r = \frac{V_{tp}}{V_{c}}\)

\(r = \frac{3}{20}\)

The ratio of the volume of the triangular prism to the volume of the cuboid is \(\frac{3}{20}\).

Answer:

V = 400 m^3

Step-by-step explanation:

The volume of a square pyramid is

V = 1/3 Bh where B is the area of the base and h is the height

B = 10 *10 = 50

V = 1/3 (100)* 12

V = 400 m^3

Answer:

PHOTO IS BLACK . SO , I CAN'T ANSWER UR QUESTION

Answer:

\(\frac{1}{2x-3}\)

Step-by-step explanation:

(\(\frac{f}{g}\) )(x)

= \(\frac{f(x)}{g(x)}\)

= \(\frac{x+1}{2x^2-x-3}\) ( factorise the denominator )

= \(\frac{x+1}{(2x-3)(x+1)}\) ← cancel the common factor (x + 1) on numerator/ denominator

= \(\frac{1}{2x-3}\)

No, because it fails vertical line test.

What is vertical line test?

Vertical line test is defined as a method used to find if the given equation or graph represents a function or not. The vertical line test states that a vertical line needs to cuts the graph of a function (equation) at only one point, for it to represent a function.

Hence, in the given graph, the function intercepts the y- axis at two points, therefore, it fails vertical line test.

To know more about, vertical line test, visit:

https://brainly.com/question/11945432

#SPJ9

Answer:

x = 8

Step-by-step explanation:

Complimentary angles are angles that add up to 90 degrees. If ABC and DBC are complimentary, then when added together, it equals 90 degrees.

ABC + DBC = 90

6x+13+4x−3 = 90

10x+10 = 90

10x = 80

x = 8

The conditions for conducting one-sample t-procedures are as follows:

1. Random Sample: The data should be obtained from a random sample or a randomized experiment to ensure that it is representative of the population of interest. This condition helps to minimize bias and ensure the validity of statistical inference.

2. Independence: The observations within the sample should be independent of each other. In other words, the values should not be influenced by each other and should be selected or measured independently. Violation of independence can lead to inaccurate results.

3. Normality or Large Sample Size (Central Limit Theorem): The population from which the sample is drawn should follow a normal distribution, or the sample size should be sufficiently large. If the population is known to be normally distributed, there are no specific requirements on the sample size. However, if the population distribution is unknown, the sample size should generally be at least 30 to apply the Central Limit Theorem, which states that the sample mean tends to follow a normal distribution, regardless of the population distribution shape.

4. Outliers: The presence of outliers can have a significant impact on the results of t-procedures. It is important to check for and address any outliers in the data. Outliers can distort the distribution and violate the assumptions of the t-test.

5. Equal Variances (for two-sample t-test): In the case of a two-sample t-test, if comparing two groups, the variances of the two populations should be equal. This assumption is necessary for calculating the correct degrees of freedom and obtaining accurate results. If the variances are not equal, a modified version of the t-test, called the Welch's t-test, can be used instead.

It is important to carefully assess these conditions before conducting one-sample t-procedures to ensure that the results are valid and reliable. Violations of these conditions may require alternative statistical tests or adjustments to the analysis.

to know more about Theorem visit:

brainly.com/question/28667736

#SPJ11

The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

To know more about the word implies visits :

https://brainly.com/question/2507296

#SPJ11

Answer: 6.4 miles

Step-by-step explanation:

Take 30 divided by 4 = 1 mile every 7.5 minutes

Then take 48 divided by 7.5 = 6.4 miles in 48 minutes

Answer:5

Step-by-step explanation:

Explanation

We are given the following:

We are required to determine the sum of the interior angle of the polygon above.

We know that the sum of the interior angles of a polygon is given as:

The polygon above has 12 sides (dodecagon), hence, we have:

Hence, the answer is :

Option C is correct.

Cluster analysis is a valuable tool in data analysis that helps identify hidden patterns and group similar objects or data points.

It is useful in various fields, such as market research, image analysis, customer segmentation, and anomaly detection. By clustering data, we can gain insights, make predictions, and improve decision-making. Hierarchical clustering is a specific approach to cluster analysis. It organizes data points into a hierarchy of clusters, where each cluster can contain subclusters. This method allows for a hierarchical structure that captures different levels of similarity or dissimilarity between data points.

For example, in customer segmentation, hierarchical clustering can group customers based on similar attributes like demographics, purchase history, and behavior. In image analysis, it can be used to segment images into meaningful regions or objects based on their visual characteristics. Hierarchical clustering offers a flexible and interpretable way to analyze complex datasets and discover underlying structures.

To learn more about data points click here: brainly.com/question/17148634

#SPJ11