LA BASE DE UNA PISCINA ES UN RECTÁNULO QUE TIENE 3m DE ANCHO Y 6M DE LARGO, SI LA ALTURA DE LA PISCINA ES DE 2m. ¿CUÁNTOS LITROS DE AGUA TENDRÁ CUANDO ESTA TOTALMENTE LLENA?

Answers

Answer 1

Answer:

36m^3

Step-by-step explanation:

El volumen de una prisma rectangulo es ancho*largo*altura, entonces multiplique 3 con 6 y 2.

3m*6m=18m^2

18m^2*2m=36m^3

Si yo te ayudo, da un brainly por favor!

Answer 2

Answer:

36

Step-by-step explanation:


Related Questions

Ms.Groves has trays of paint for her students in her art class.Each tray has 5 colors.One of the colors is purple.What fraction of the colors in 20 trays is purple?

Answers

The fraction of colors that are purple in 20 trays is 5/20, or 1/4. This is because each tray has 5 colors, and there are 20 trays. Therefore, the total number of colors is 5 x 20 = 100. Since one of those colors is purple, there are 100/1 = 100 purple colors. Thus, the fraction of colors that are purple is 100/100 = 5/20, or 1/4.

Add. −12+(−20) Enter your answer in the box.

Answers

Answer: -31

Step-by-step explanation:

-12+(-21)   is equal to -12-21 which is -31

The correct answer is:

-32

Work and explanation:

Remember the integer rule:

\(\sf{a+(-b)=a-b}\)

Similarly

\(\sf{-12+(-20)=-12-20}\)

Simplify

\(\sf{-32}\)

Therefore, the answer is -32.

You must decide whether to buy new machinery to produce product X or to modify existing machinery. You believe the probability of a prosperous economy next year is 0.7. Prepare a decision tree and use it to calculate the expected value of the buy new option. The payoff table is provided below (+ for profits and - for losses).
When entering the answer, do not use the $ symbol. Do not enter the thousand separator. Enter up to 2 decimal places after the decimal point. For example, $6,525.35 must be entered as 6525.35
N1: Prosperity ($) N2: Recession ($)
A1 (Buy New) $1,035,332 $-150,000
A2(Modify) $823,625 $293,648

Answers

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

For more questions on expected value

https://brainly.com/question/14723169

#SPJ8

Solve for x in the diagram below.

Solve for x in the diagram below.

Answers

Step-by-step explanation:

Use the triangle bisector theorem:

"The angle bisector of a triangle divides the opposite side into two parts proportional to the other two sides of the triangle."

so 12 is to 16  as   x is to 20

12/ 16 = x/20

20 * 12/16 = x = 15 units

Answer:

x = 15

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divides the side opposite the angle into segments that are proportional to the other two sides , that is

\(\frac{12}{16}\) = \(\frac{x}{20}\) ( cross- multiply )

16x = 12 × 20 = 240 ( divide both sides by 16 )

x = 15

if abcd is dilated by a factor of 1/3 the coordinate of A would be?

if abcd is dilated by a factor of 1/3 the coordinate of A would be?

Answers

Answer:

A' = (-1, -1)

Step-by-step explanation:

Rule for the dilation of any point A(x, y) about the origin by a factor of k is given by the rule,

A(x, y) → A'(kx, ky)

From the graph attached,

Coordinates of point A are (-3, -3) and it is dilated by a scale factor of \(\frac{1}{3}\) about the origin then the coordinates of the image point A' will be,

A(-3, -3) → \(A'(-3\times \frac{1}{3},-3\times \frac{1}{3})\)

             → A'(-1. -1)

Therefore, coordinates of A' = (-1, -1) is the answer.

A pile of cards contains twelve cards, numbered 1 through 12. What is the probability of NOT choosing the 3?

Answers

11/12  is the probability of NOT choosing the 3.

Probability Definition in Math -

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.Four perspectives on probability are commonly used: Classical, Empirical, Subjective, and Axiomatic.

There are 12 cards each having equals probability since all they appear once

Each card therefore has a probability of 1/12

Since there are 11 other numbers apart from 3

= 1/12 × 11

= 11/12

Learn more about  probability

brainly.com/question/11234923

#SPJ4

I just took a project and got a bad grade on it my teacher wrote this, It looks like you made a calculation error with the radius measurement in your work. Take a look at the comments I left on your paper. You may revise your work and resubmit and I will regrade your project. This is my work. Please help

I just took a project and got a bad grade on it my teacher wrote this, It looks like you made a calculation

Answers

The areas that needs correction has been attended to and they include the following:

4.)533.8 meters

5.)22686.5 m²

8.)19.06 m

How to determine the radius of a circle?

To determine the radius of a circle, the diameter should be divided into two.

For the wheel, the radius is calculated as follows;

Diameter = 150/2

= 85 meters.

For 4.)

The circumference of the wheel with the given radius;

Formula = 2πr

= 2×3.14×85

= 533.8 meters

For 5.)

Area of the wheel = πr²

= 3.14×85×85 = 22686.5 m²

For 8.) The arc length between the two cars;

= circumference/number of compartment

= 533.8/28

= 19.06 m

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

What is the value of v?

What is the value of v?

Answers

Answer: V = − 1 /2 (Fraction)V = -0.5 (Decimal)_____________________________________I need everyone to know something! Don't let anyone ever push you down or call you worthless.  You are worth everything and more! So stay strong, hold on, and live long!  Most people don't hear this often. Your all loved, no matter what it feels like. So please, stay strong. If not for yourself then for me and everyone else who cares for you...

░░░░░░░░░░░▄▀▄▀▀▀▀▄▀▄░░░░░░░░░░░░░░░░░░

░░░░░░░░░░░█░░░░░░░░▀▄░░░░░░▄░░░░░░░░░░

░░░░░░░░░░█░░▀░░▀░░░░░▀▄▄░░█░█░░░░░░░░░

░░░░░░░░░░█░▄░█▀░▄░░░░░░░▀▀░░█░░░░░░░░░

░░░░░░░░░░█░░▀▀▀▀░░░░░░░░░░░░█░░░░░░░░░

░░░░░░░░░░█░░░░░░░░░░░░░░░░░░█░░░░░░░░░

░░░░░░░░░░█░░░░░░░░░░░░░░░░░░█░░░░░░░░░

░░░░░░░░░░░█░░▄▄░░▄▄▄▄░░▄▄░░█░░░░░░░░░░

░░░░░░░░░░░█░▄▀█░▄▀░░█░▄▀█░▄▀░░░░░░░░░░

░░░░░░░░░░░░▀░░░▀░░░░░▀░░░▀░░░░░░░░░░░░

please help asap this means everthing for me

please help asap this means everthing for me

Answers

Step-by-step explanation:

41 litres - 10.83gallons

3.5gallons-13.25 litres

First answer is 10.8311 and second number answer is 15.9113

an inverted pyramid is being filled with water at a constant rate of 40 cubic centimeters per second. the pyramid, at the top, has the shape of a square with sides of length 5 cm, and the height is 9 cm. find the rate at which the water level is rising when the water level is 2 cm.

Answers

The rate at which the water level is rising when the water level is 5 cm is;

dh/dt = 1.6 cm/s

What is a PYRAMID?A structure with triangle outside surfaces that converge to a single step at the summit is referred to as a pyramid (from Greek: pyrams)]. This shape is roughly a pyramid in the geometric sense. A pyramid foundation might be triangular, quadrilateral, or any other type of polygon. A pyramid therefore has at least three triangular exterior surfaces (at least four faces including the base). A typical variation is the square pyramid, which has a square base and four triangular exterior surfaces.Because a pyramid is built with the pyramidion at the top and the remainder of the weight closer to the ground[3], less material will be pressing down from above. Early civilizations could build stable structures thanks to this weight distribution.

Acc to our question-

length of square side; s = 4 cmheight of pyramid; h = 8 cmvolumetric rate; dV/dt = 30 cm³/sSince the base is square shaped and we know that area of a square = s², then we can say that;Volume of pyramid = ¹/₃s²hThe pyramid has a height of 8 cm and length of its' square base side is 8 cm.Now, regardless of the water height, the surface of the water will always be square shaped. This implies that the ratio of the height to the top side of square will always be the same. Thus, we can say that; s = 4/8 h = h/2Thus, Volume is;V = ¹/₃ × (h/2)² × hV = ¹/₃ × h³/4V = h³/12dV/dt = (3h²/4) dh/dtPlugging in the relevant values gives;30  = (3 × 5²/4) dh/d120 = 75 dh/dtdh/dt = 120/75dh/dt = 1.6 cm/s

Hence,The rate at which the water level is rising when the water level is 5 cm is; dh/dt = 1.6 cm/s

learn more about pyramid click here:

https://brainly.com/question/13697843

#SPJ4

A' buy a radio at 3/4th of it' marked price. He ell it at 20% more than it marked price. What i 'A' gain per cent?

Answers

60% of profit he gain if A' buy a radio at 3/4th of it' marked price. He ell it at 20% more than it marked price

What is percentage

In essence, percentages are fractions with 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If  need to calculate a percentage of a number, should divide it by its entirety and then multiply it by 100.

since radio buy at 3/4 th of marked price

let us assume 100 be the marked price

then he buy it in 75

and sold at 20 % profit = 120

so get profit of 120-75=45

profit %= 45/75 *100

          =3/5 *100

         = 3*20

          = 60% profit

learn more about of profit here

https://brainly.com/question/30044204

#SPJ4

Let C be the circle relation defined on the set of real numbers. For every x, y ϵ R, x Cy <=> x^2 + y^2 = 1. (a) Is C reflexive justify your answer. C is reflexive for a very real number x, x C x. By definition of C this means that for every real number x, ____ -1. This is ____.
Find an example x and x^2 + x^2 that show this is the case. (x, x^2 + x^2) = ( ____ ) Since this ____ 1, C ____ reflexive

Answers

About the circle relation C on the set of real numbers:

To determine if circle (C) is reflexive, we need to examine if for every real number x, x C x holds true. By definition of C, this means that for every real number x, x^2 + x^2 = 1.

Now, let's simplify this equation: x^2 + x^2 = 2x^2, so we get 2x^2 = 1. To satisfy this equation, x^2 must equal 1/2. However, there is no real number x for which x^2 = 1/2.

As we cannot find an example of x such that (x, x^2 + x^2) = (x, 1), we conclude that since this does not equal 1, C is not reflexive.

Learn more about circle and real numbers: https://brainly.com/question/24375372

#SPJ11

true or false: when a researcher rejects the null hypothesis, they are saying that the difference between two groups is statistically significant.

Answers

The given statement "when a researcher rejects the null hypothesis, they are saying that the difference between two groups is statistically significant." is true.

The word hypothesis in statistics refers a formal statement, which gives the explanation about the relationship between the two or more variables

Here we have given the statement "when a researcher rejects the null hypothesis, they are saying that the difference between two groups is statistically significant." and we need to find whether the given statement is true or not.

While we looking into the given question, we know that in null hypothesis testing, then this criterion is called α (alpha) and is almost always set to . 05. Where as if there is less than a 5% chance of a result as extreme as the sample result if the null hypothesis were true, and then the null hypothesis is rejected. If this happens, then the result is said to be statistically significant .

Based on these concept the given statement is true.

To know more about hypothesis here

https://brainly.com/question/29576929

#SPJ4

If there are 25 students in a math class in which 16 of them are male . If there are 1500 students in the school how many of them are male and how many other or females

Answers

960 are male and 540 are female

joe drives a golf cart when he needs to monitor the security of his neighborhood. he can cover the 49 miles of streets in his neighborhood in 2 hours. what unit rate expresses the speed of Joeys golf cart per hour?


A. 10 miles per hour
B. 15 miles per hour
C. 20 miles per hour
D. 30 miles per hour​

Answers

Answer:

C 20 miles per hour

Step-by-step explanation:

Given data

Distance covered= 49 miles

Time taken = 2 hours

Required

The speed of the golf cart

The expression for speed is

Speed= distance/time

substitute

Speed= 49/2

Speed= 24.5 miles per hour

Hence the speed is 24.5 miles per hour

The approximate value is option C 20 miles per hour

Find the number,if 1/5 of it is 15

Answers

Answer:

The number is 75

Step-by-step explanation:

Let x be the unknown number

of means multiply and is means =

1/5 x = 15

Multiply each side by 5

5 * 1/5 x = 5*15

x = 75

Answer:

75

Step-by-step explanation:

Dependent and Independent Events
S
?
Tom is playing a board game.
He has rolled a six nine times in a row.
What's the probability that his 10th roll will not be a six?

Answers

Answer:

Step-by-step explanation:

Hello!

If you consider the 6-sided dice to be balanced, then each result has the same probability of occurrence: P(1)=P(2)=P(3)=P(4)=P(5)=P(6)= \(\frac{1}{6}\)

And each time Tom rolls the dice is independent of the other times, this means that you can disregard all previous rolls and calculate the 10nth time as if it is the 1st one.

Be the event A: "Tom rolled the dice for the 10nth time and obtained a 6"

The probability of A occurring will be P(A)= 1/6

On the other hand, the complement of "A" will be \(A^c\): "Tom rolled the dice for the 10nth time and didn't obtain a 6"

This means he could obtain a 1 or a 2 or a 3 or a 4 or a 5

You can calculate the probability pf this event by adding the probability of obtaining each value P(\(A^c\))= P(1)+P(2)+P(3)+P(4)+P(5)= 1/6*5= 5/6

Or by subtracting the probability of A to the total probability of the sample space:

P(\(A^c\))= 1 - P(A)= 1 - 1/6= 5/6

I hope this helps!

Which image is a reflection of the orange letter K in Quadrant I?
I'll give you brainliest if you actually answer my question

Which image is a reflection of the orange letter K in Quadrant I?I'll give you brainliest if you actually

Answers

The answer is the green K in quadrant IV

what is the Cartesian co-ordinate system?

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates.

Given here: The K in the fourth quadrant is a reflection of K in the first quadrant because it first flips the K and but there is no change in the position of the x-axis quite clearly.

Hence, The answer is the green K in quadrant IV

Learn more about the Cartesian co-ordinate system:

https://brainly.com/question/29762404

#SPJ1

Compare the second line with the first line. How much more money does Diego have after 1 hour of babysitting? 2 hours? 5 hours? x hours?

Answers

The second line should be compared to the first line to determine how much more money Diego has after a certain number of hours of babysitting. The amount of money earned by Diego per hour should be taken into account to calculate the difference in earnings after 1, 2, 5, or x hours of babysitting.

To determine how much more money Diego has after a certain number of hours of babysitting, we need to compare the earnings per hour mentioned in the first and second lines. Let's denote the amount of money earned by Diego per hour as "p" in the first line and "q" in the second line.

After 1 hour of babysitting, Diego would have earned an additional "q - p" amount of money compared to the first line. After 2 hours of babysitting, Diego would have earned a total of "(2 * q) - (2 * p)" more money compared to the first line.

After 5 hours of babysitting, Diego would have earned a total of "(5 * q) - (5 * p)" more money compared to the first line. If we want to calculate the difference in earnings after x hours of babysitting, the formula would be "(x * q) - (x * p)".

In summary, to determine how much more money Diego has after a certain number of hours of babysitting, we compare the earnings per hour mentioned in the first and second lines. The difference in earnings can be calculated by subtracting the earnings per hour in the first line (p) from the earnings per hour in the second line (q), and then multiplying that difference by the number of hours of babysitting.

Learn more about  Diego here:- brainly.com/question/29441041

#SPJ11

Galaxy A has a cosmological redshift in its spectrum of z = 0.01 indicating it is moving away from us at 3000 km/s. Galaxy B has z = 0.08. a) How fast is Galaxy B moving away from us?

Answers

Galaxy B is moving away from us at a speed of 24,000 km/s.

The speed at which Galaxy B is moving away from us would be 24,000 km/s. Here's how we arrived at this conclusion:

Given: Galaxy A has a cosmological redshift in its spectrum of z = 0.01 indicating it is moving away from us at 3000 km/s.

Galaxy B has z = 0.08.We know that the redshift z is directly proportional to the speed at which the galaxy is moving away from us.

In other words, z ∝ v, where z is the redshift, and v is the speed.

Therefore, we can write:z₁/v₁ = z₂/v₂where z₁ and v₁ are the redshift and speed of Galaxy A, and z₂ and v₂ are the redshift and speed of Galaxy B.

Rearranging the formula, we get:v₂ = (z₂/z₁) x v₁

Substituting the values of z₁, v₁, and z₂ into the formula, we get:v₂ = (0.08/0.01) x 3000 km/sv₂ = 24,000 km/s

Therefore, Galaxy B is moving away from us at a speed of 24,000 km/s.

Know more about speed here,

https://brainly.com/question/17661499

#SPJ11

helpppppppppppppppppp

helpppppppppppppppppp

Answers

Answer:

C

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

The interior angle at 150° = 360° - 150° = 210°

sum the angles and equate to 360

25 + 30 + 210 + x = 360 , that is

265 + x = 360 ( subtract 265 from both sides )

x = 95 → C

matt joins a gym the cost includes a one time fee of 200 plus a monthly fee of 20

Answers

The total cost paid by Matt if he joins for 6 months is found as 320.

How to form linear equation with one variable?The equation for a linear equation in one variable is written as ax+b = 0, whereby there and b were also two integers, as well as x is a variable. This equation has had only one solution. For instance, the linear equation 2x+3=8 only has one variable. As a result, this equation has a single solution, x = 5/2.

For the stated query:

The joining cost of gym = 200

The month cost = 20.

Let the number of month be 'x'.

Let the total cost be 'c'.

Then , linear equation forms be.

c = 200 + 20x

For 6 months, put x = 6.

c = 200 + 20*6

c = 200 + 120

c = 320

Thus, the total cost paid by Matt if he joins for 6 months is found as 320.

To know more about the linear equation, here

https://brainly.com/question/2030026

#SPJ1

The complete question is-

Matt joins a gym the cost includes a one time fee of 200 plus a monthly fee of 20. Find the total cost paid by Matt if he joins for 6 months.

Guys can you please help. I dont understand. Thank you. :))))

Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.

Answers

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Can you solve these for me?

Can you solve these for me?

Answers

The solution to the inequality 4 ≤ -3x - 1 ≤ 9 is -5/3 ≥ x ≥ -10/3.

What is the solution to the given inequality?

Given the inequality in the question;

4 ≤ -3x - 1 ≤ 9

To solve, first move all terms not containing x from center section of the inequality.

4 ≤ -3x - 1 ≤ 9

Add 1 to each sides of the inequality

4 + 1 ≤ -3x - 1 + 1 ≤ 9 + 1

4 + 1 ≤ -3x ≤ 9 + 1

Add 4 and 1

5 ≤ -3x ≤ 9 + 1

Add 9 and 1

5 ≤ -3x ≤ 10

Now, divide each term in the inequality by -3

5 / -3 ≥ -3x / -3 ≥ 10 / -3

Simplify

5 / -3 ≥ x ≥ 10 / -3

-5/3 ≥ x ≥ -10/3

Therefore, the solution is -5/3 ≥ x ≥ -10/3.

Learn more about inequality here: https://brainly.com/question/30231190

#SPJ1

Amy takes 17/5
minutes to drive from her home to the local shopping centre. She spends 1/8
of this time waiting at traffic lights.

Answers

Answer:

Make 7/5 and 1/8 have a common denominator, which is 40.

7/5 x 8/8 = 56/40(minutes driving to her home)

1/8 x 5/5 = 5/40 she spends

rounded to the thousands place :) thank you!!

5e^3x – 4 = 31

Answers

Step-by-step explanation:

Add 4 to both sides: 5e^3x = 35, or

help asaaaap explain please!!!!!

help asaaaap explain please!!!!!

Answers

Answer:

C

Step-by-step explanation:

Once

\(\sqrt{xy} = 6\)

We know that \(xy = 36\)

There are infinity values for \(x, y\), but considering \(x, y \in \mathbb{Z}\)

Below we have all the solutions for \(x, y\)

Negative:

\(\\x = -36 \text{ and } y = -1\\x = -18 \text{ and } y = -2\\x = -12 \text{ and } y = -3\\x = -9 \text{ and } y = -4\\x = -6 \text{ and } y = -6\\x = -4 \text{ and } y = -9\\x = -3 \text{ and } y = -12\\x = -2 \text{ and } y = -18\\x = -1 \text{ and } y = -36\\\)

Positives:

\(x = 36 \text{ and } y = 1\\x = 18 \text{ and } y = 2\\x = 12 \text{ and } y = 3\\x = 9 \text{ and } y = 4\\x = 6 \text{ and } y = 6\\x = 4 \text{ and } y = 9\\x = 3 \text{ and } y = 12\\x = 2 \text{ and } y = 18\\x = 1 \text{ and } y = 36\\\)

We can see that \(x + y \neq 18\)

lim x -4 sqrt x+20 - sqrt 12-x x^ 2 +3x-4 =

lim x -4 sqrt x+20 - sqrt 12-x x^ 2 +3x-4 =

Answers

hey jay sorry for the phone number but i did not respond yet but i will text you back when you leave the office

Step-by-step explanation:

\( = \lim \limits_{x \to - 4} \frac{ \sqrt{x + 20} - \sqrt{12 - x} }{ {x}^{2} + 3x - 4 } \)

\( = \lim \limits_{x \to - 4} \frac{ \sqrt{x + 20} - \sqrt{12 - x} }{(x + 4)(x - 1)} \times \frac{ \sqrt{x + 20} + \sqrt{12 - x} }{ \sqrt{x + 20} + \sqrt{12 - x } } \)

\( = \lim \limits_{x \to - 4} \frac{ {( \sqrt{x + 20} )}^{2} - {( \sqrt{12 - x} )}^{2} }{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} \)

\( = \lim \limits_{x \to - 4} \frac{x + 20 - 12 + x }{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} \)

\( = \lim \limits_{x \to - 4} \frac{2x + 8}{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} \)

\( = \lim \limits_{x \to - 4} \frac{2 \cancel{(x + 4)}}{ \cancel{(x + 4)}(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} \)

\( = \lim \limits_{x \to - 4} \frac{2}{(x + 1)( \sqrt{x + 20} + \sqrt{12 - x} )} \)

\( = \frac{2}{( - 4 + 1)( \sqrt{ - 4 + 20} + \sqrt{12 + 4} ) } \)

\( = \frac{2}{( - 3)( \sqrt{16} + \sqrt{16}) } \)

\( = \frac{2}{( - 3)(4 + 4)} \)

\( = \frac{2}{( - 3)(16)} \)

\( = \frac{1}{( - 3)(8)} \)

\( = - \frac{1}{24} \)

A tank has a height of 10 feet. The area of the horizontal cross section of the tank at height h feet is given by the function A, where A(h) is measured in square feet. The function A is continuous and decreases as h increases. Selected values for A(h) are given in the table above. (a) Use a left Riemann sum with the three subintervals indicated by the data in the table to approximate the
volume of the tank. Indicate units of measure.

Answers

To approximate the volume of the tank using a left Riemann sum, we can use the provided data in the table. The left Riemann sum is obtained by multiplying the width of each subinterval by the corresponding height value of the function A.

Given that the height of the tank is 10 feet and the function A is decreasing as the height increases, we can divide the height interval into three subintervals: [0, 2], [2, 6], and [6, 10].

Using the left endpoint of each subinterval, we can calculate the approximate volume as follows:

Volume ≈ (width of subinterval 1) * (A(0)) + (width of subinterval 2) * (A(2)) + (width of subinterval 3) * (A(6))

Let's assume the width of each subinterval is 2 feet based on the given data. Using the values from the table, we can substitute the corresponding height values:

Volume ≈ (2) * (8) + (2) * (6) + (2) * (4)

Simplifying the expression, we get:

Volume ≈ 16 + 12 + 8 = 36 cubic feet

Therefore, the approximate volume of the tank using the left Riemann sum with the given three subintervals is 36 cubic feet.

Learn more about function here : brainly.com/question/12426369

#SPJ11

If 5(2x - 1) = 35, then x = ?

Answers

Answer:

x=4

Step-by-step explanation:

35/5=7

so, 2x-1=7

1+7=8

8/2=4

Answer: x=4 can you please mark brainliest
Other Questions
Otto builds and sells model cars. He made a graph to compare the number of days to the number of model cars. Three of the points form a proportional relationship, but one does not. Which point does not fit in the proportional relationship? Coordinate plane with Number of Days on the x-axis and Number of Model Cars on the y axis. 4 points are plotted in the plane: 2, 1; 4, 2; 6, 2; and 8, 4. A (2, 1) B (4, 2) C (6, 2) D (8, 4)\Need HELP ASAP How would you name the number:100 liters? A. DekaliterB. HectoliterC. CentiliterD. MegaliterE. Other help me complete this reverse poem template (supposed to be on lost generations) Help me please. Your the best if you help. 1. Why is it important for a management accountant to understand how different costs behave?2. Which of the following is not a fixed cost? Justify your answer.a. Direct labor.b. Raw materials.c. The salary of the factory supervisor.d. Sales force commissions (Paid as a % of sales).3. What are the FOUR principles of Global Management Accounting? Which option is an example of capital as a factor of production?A. A government increasing taxesB. An artist painting a pictureOC. A tree used to make paperD. An industrial assembly line how do you think westward expansion affected the gloable reputation of America Volumes of Revolution:1. Find the volume V of the solid generated by revolving the region between the curves y=1/x, y=0, x=1, x=3 about the y axis.2. find the volume of the solid formed by revolving the region bound by x^2+y^3=4 and x=0 and x=2 and y=0 about the y axis 3. The base of a certain solid is the region enclosed between the curves y=sin(x), y=0, x=/4, x=3/4, and every cross section perpendicular to the x axis is a square with one side across the base. Find the volume V of the solid.4. Let Vx and Vy be the volumes of the solids obtained by revolving the region enclosed by y=1/x, y=0, x=1/2 and x=b, (b>1/2) about the x and y axes respectively. Is there a value for b for which Vx=Vy? (If there are multiple values, enter any one of them, if there are no values, enter 0).I'm more interested in learning how to solve these problems than just getting the answer. Thanks! please help i m clusless The circle below is centered at (3, 1) and has a radius of 2. What is itsequation? A jacket with an original price of $98.60 is discounted 65%. What is theSale Price? Which statement is true about the loyalists? the length of a rectangle is 2 feet more than its width. find the dimensions of the rectangle if its area is 63 square feet. list the smallest dimension first. Every day, for ten days in a row, you lose 5 points in a video game. What integer represents your total loss? What is the main idea? Because the fox is a nighttime creature, you are not likely to see it during the day. You will have to wait until dark. During the day, the fox sleeps in an underground home called a den. At night, it hunts for its food. The fox uses its keen sense of hearing to look for mice, rabbits, insects, birds, and other small animals. Sometimes, foxes can help control pest on Which is the following sum? 45+25 610 810 Why were mortality rates of slaves so high on the slave ships during the "Middle Passage?"Illness-- The conditions on the ships were not suitable for the number of people aboard or their bodily functions.Disease ran rampant among all on board the slave ships of the "Middle Passage."Illness- The mental health of the crew often deteriorated during a long voyage. Hallucinations would occur thatwould lead to mass executions of slaves on board during the "Middle Passage."Illness-- The Africans were not immune to European diseases and would contract the disease when first makingcontact with European slavers at the trade ports in Africa. The disease would manifest itself weeks later duringthe "Middle Passage."OIllness-- The mental health of people locked to a boat for weeks on end often deteriorated and they would jumpoverboard during the "Middle Passage." Participants in this exercise were asked to rate the accuracy of their personality tests (before being told of the ruse). Despite the deception at hand, most felt it was very accurate, with ratings generally falling between Select, yielding a numerical mean of between Select 4. will give brainliest How do you think evidence from nursing journals affects patient care?.