The side of a cube is decreasing at a rate of 9 millimeters per minute.
At a certain instant, the side is 19 millimeters.
What is the rate of change of the volume of the cube at that instant (in cubic millimeters per minute)?

Answers

Answer 1

Answer:

the  rate of change of the volume of the cube is  -9747 cubic millimeters per minute

Explanation:

The computation of the rate of change of the volume of the cube is given below:

As we know that

The volume of the cube is x^3

Now differentiate it with time t

So

dV÷ dt = 3x^2 dx ÷ dt

Now put the values

= 3(19)^2  (-9)

= -9747 cubic millimeters per minute

hence, the  rate of change of the volume of the cube is  -9747 cubic millimeters per minute


Related Questions

Why were the aircraft carriers safe from the bombing at peral harbor?

Answers

Answer:

im not sure but i thought they were taken away from pearl harbor before the attack happened but i might be wrong

What would be an example of the pathway a plastic bag thrown on the ground in eastern Washington could end up in the Pacific Ocean?

Answers

The plastic gets sent to landfills

The citrus growers who collect mature oranges from the grove would be considered
in the value chain.

Answers

Answer:

Manufacturer or producer of goods

Explanation:

The complete question is -

The citrus growers who collect mature oranges from the grove would be considered what in the value chain

Solution

The citrus grower produces the oranges and hence he/she would be considered as manufacturer or producer of goods (as orange is a goods). The supply chains comprises of manufacturer, distributor, retail shops, transportation etc.

EASY 100 PTS! THIS IS A TWO PART PROBLEM NOT MULTIPLE CHOICE

The distribution of the number of children per family in the United States is strongly skewed right with a mean of 2.5 children per family and a standard deviation of 1.3 children per family.

a) Without doing any calculations, which event is more likely? Explain.
Event A: Randomly selecting a family from the United States that has 3 or more children.
Event B: Randomly selecting 40 families from the United States and finding an average of 3 or more children.

b) The probability of one of the two events listed in part (a) can be calculated even though the distribution of the population is strongly skewed right. For which event can the probability be calculated? Explain.

c) Calculate the probability of the event that you selected in part (b).

Answers

Answer:

a) Event B

b) Event B

c) 0.649733

Explanation:

Give an example of more concentrated ownership (or vertical integration) in the US.
I

Answers

Answer:

Tech Giant Apple is an example of more concentrated ownership (or vertical integration)

Explanation:

Vertical integration refers to expansion of business in a way that no outside entity or service is required in the entire process of manufacturing and distribution.  

For instance – Tech Giant Apple has its own retails store, has its own brand and manufacturing facilities around the globe. Thus, they do not need an outsider for carrying out these activities.  

A form of behavior therapy that is generally done in three steps as a way to reduce fear and anxiety is referred to as _________.
A.
aversion therapy
B.
systematic desensitization
C.
cognitive therapy
D.
rational-emotive behavior therapy

Answers

Answer:

C. cognitive therapy

Explanation:

A form of behavior therapy that is generally done in three steps as a way to reduce fear and anxiety is referred to as cognitive therapy .

The part of the behavior therapy that has been involved in dealing with fear and anxiety is systematic desensitization. Thus, option B is correct.

What is a behavior therapy?

The physiological therapy that has been used to treat the mental disorder such as fear, stress, anxiety, depression, and others is termed as the behavioral therapy.

The therapy can be performed in three steps, with the step that has been involved in the dealing with fear by exposure to the stimulus that leads to the reduction in the anxiety is termed as systematic desensitization. Thus, option B is correct.

Learn more about behavior therapy, here:

https://brainly.com/question/13756734

#SPJ2

Where are the most mountains found on Africa

Answers

Answer:

North-western, central and eastern regions of Africa have large number of mountains.

Explanation:

North-western, central and eastern regions of Africa have large number of mountains. However, 50% of the Africa's countries have high mountains (higher than 2000 m)

Some of the prominent mountains are -

Mount Kilimanjaro (5,895 m) in Tanzania, Mount Kenya (5,195 m) in Kenya, Mount Stanley (5,119 m), Mount Speke (4,890 m) and Mount Baker (4,844 m) in Congo-Uganda etc.  

Other Questions
Two resistors, 2.50 and 4.95 , are wired in series to a 12.00 V battery. What is the equivalent resistance of the circuit? Which of the following helps prevent erosion? (select 2 answers).IceTreesRainRiversPlants (Vegetation) find the Surface Area of this shape Prove: The diagonals of a square are perpendicular. PLEASE ANSWER THIS ASAP WHOEVER IS CORRECT GET BRAINLIST What are the vertices of triangle ABC'if triangle ABC is dilated by a scale factor of 3? Can someone please help me! im confused! Name the organization that was created after World War II to "reaffirm faith infundamental human rights, in the dignity and worth of the human person, in theequal rights of men and women and of nations large and small"? Read the following paragraph from a speech:You, graduates, are among the luckiest citizens of theworld. You were born into a noble and civilized race ofpeople - and, moreover, a generous one, which seeks tospread the knowledge and enlightenment it enjoys in thisplace to other lands, where bands of savages have neveryet heard of or benefitted from the advantages we have toshare with them.Which statement most strongly describes an implication of the paragraph?O A. The speaker believes his country's presence is welcomedoverseas.O B. The speaker believes that young citizens of his country arecowardly.O C. The speaker believes that his nation brings enlightenment to othercountries.O D. The speaker believes his nation is better than most others. Ghost, Inc., has no debt outstanding and a total market value of $240,000. Earnings before interest and taxes, EBIT, are projected to be $32,000 if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be 15% higher. If there is a recession, then EBIT will be 30% lower. The company is considering a $80,000 debt issue with an interest rate of 7 percent. The proceeds will be used to repurchase shares of stock. There are currently 15,000 shares outstanding. Ignore taxes for this problem.a-1. Calculate earnings per share (EPS) under each of the three economic scenarios before any debt is issued. a-2. Calculate the percentage changes in EPS when the economy expands or enters a recession. b-1. Calculate earnings per share (EPS) under each of the three economic scenarios assuming the company goes through with recapitalization. b-2. Given the recapitalization, calculate the percentage changes in EPS when the economy expands or enters a recession.a-1 Recession EPS $0.97 Normal EPS $1.39 Expansion EPS Z $1.59a-2 Recession percentage change in EPS -30.0 Expansion percentage change in EPS 15.0b-1 Recession EPS $1.09 Normal EPS 15.00 Expansion EPS b-2 Recession percentage change in EPSE -36.36 Expansion percentage change in EPS 18.18 Anyone know how to do this? What is 4/3 ft x 15 inches I need the anwser in inches A movable section of stage has the shape of an isosceles right triangle. You need to apply 2 coats of paint to all but the bottom. The paint covers approximately 90 square feet per quart. How many quarts of paint do you need to buy? You need to buy quarts of paint. Please help!!!!!!!!!!!!!!!!!!!! The radius of a circle is 25 millimeters. Find the diameter. Find the values of the variables and the lengths of the sides of the kite. simplify the expression[tex] \sqrt[3]{686x {}^{4} } y {}^{7} [/tex] Can someone help me with this. Will make brainliest. Need answer and explanation/work. Thank you. URGENTTT !!!!! (multiple questions)1. Analysez les phrases et choisissez celle qui explique le mieux comment la manire de faire les courses en France est en train de changer.A. The growth of supermarkets has changed the way people shop because now people can go to one store instead of five.B. A majority of French people shop in supermarkets because they prefer food that has a lot of preservatives.C. The growth of open markets in France has changed the way people shop because the food is fresher and produced locally.D. The growth of small businesses has changed the way people shop because it offers people more convenience and cheaper prices.2. (Select multiple) Choisissez les produits que vous trouvez dans le rayon boucherie-charcuterie.un jambonun pouletun saucissonun ufune fraiseun canard3. Compltez la phrase avec le verbe qui correspond le mieux au contexte. Faites attention la forme du verbe. la fin du diner, les clients _____ souvent le chef du restaurant.applaudissentfinissezfinissentapplaudissez4. Compltez la phrase avec le verbe qui correspond le mieux au contexte. Faites attention la forme du verbe.Tu ______ souvent le diner avec un dessert.applauditfinitapplaudisfinis5. (fill in the blank) Conjuguez le verbe ouvrir pour complter la phrase.Sophie ____ le pot de confiture pour le petit djeuner. Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.