All edges of a cube are expanding at a rate of 6 centimeters per second. (a) How fast is the volume changing when each edge is 5 centimeter(s)

Answers

Answer 1

Answer:

(a).The volume of cube is changing at the rate [tex]450 cm^3/s[/tex]

Step-by-step explanation:

Let x be the side of cube

[tex]\frac{dx}{dt}=6 cm/s[/tex]

We have to find the rate at which  volume of cube changing when edge is 5 cm.

We know that

Volume of cube, V=[tex]x^3[/tex]

Differentiate w.r.t t

[tex]\frac{dV}{dt}=3x^2\frac{dx}{dt}[/tex]

Substitute the values

[tex]\frac{dV}{dt}=3(5)^2\times 6[/tex]

[tex]\frac{dV}{dt}=450 cm^3/s[/tex]

Hence, the volume of cube is changing at the rate [tex]450 cm^3/s[/tex]


Related Questions

help me please!!!!!
do not write silly if you have no evidence please.
thanks for your help!!!!​

Answers

The answer is 3,4 because it’s the intersection of x and z

Cindy rode her scooter for 1/3 hour and traveled 2 1/6 kilometers. What is her average speed in kilometers per hour?

Answers

Answer:

6 1/2km per hour

Step-by-step explanation:

1/1/3 = 1 × 3 = 3

2 1/6 × 3 = 6 1/2

6 1/2km/1hour

6 1/2km per hour

Cat behavior: A report stated that the average number of times a cat returns to it's good bowl during the day is 37. Assuming the variable is normally distributed with a standard deviation of 3, what is the probability that a cat would return to it's dish between 34 and 39 times a day. Use the graphing calculator. Round the answer to four decimal places.
P (34<X<39) =?​

Answers

Answer:you have to round the numbers

Step-by-step explanation:

Skate Space charges $50.00 to rent their bullding for events and \$5,50 per person to attend. A planning committee has \$100.00 to spend for an event at Skate SpaceWhich the committee use to find xnumber of people who can attend the event at Skate Space?

Answers

Answer:

50 + 5.50x <= 100

Step-by-step explanation:

Just did the test

what is the variable? 16.2-3(4)+ 14/2​

Answers

Answer:

11.2 or 56/5 or 11 1/5

Step-by-step explanation:

A 30 cl cocakola bottle must contain ________ ml of liquid *
5 points
A.3
B.30
C.300
D.3000
choose the correct option.

Answers

Answer:300ml.

Step-by-step explanation:

Since 1cl =10ml

Therefore,30cl =10×30ml

=300ml.

Answer:

C. 300ml is the correct answer

Step-by-step explanation:

Help my please i need it now please i will give brainiest

Answers

Answer: C

Step-by-step explanation: In any parallelogram, opposite angles are always equal to each other.

Answer:

C bro trust

Step-by-step explanation:

Choose the correct statement of the rule; then complete the table for missing values. A merchant adds $3.00 to his cost to determine his selling price.
The rule is:

c 1 2 3 4 5
f(c)

Answers

Answer:

Selling Price = Cost + $3.00

c 1, 2, 3, 4, 5,

f(c) 4, 5, 6, 7, 8,

The merchant uses Selling Price = Cost + $3.00 to determine the selling price.

What is Addition?

Addition is a process of combining two or more numbers.

A merchant adds $3.00 to his cost to determine his selling price.

The cost is denoted by c.

The selling price is given by f(c).

As there is given add in the sentence, it means we have to use the addition rule.

Selling price is the sum of cost plus three

Selling Price = Cost + $3.00

So the table becomes as below

c 1, 2, 3, 4, 5,

f(c) 4, 5, 6, 7, 8,

Hence, the merchant uses Selling Price = Cost + $3.00 to determine the selling price.

To learn more on Addition click:

https://brainly.com/question/29053821

#SPJ2

PLS HELP HURRY! I NEED HELP ON ALL OF THESE!

Answers

Answer:

1+2=3 hahahhahhahah

Step-by-step explanation:

Help plzzz I need help and be serious

Answers

The answer is Right. Have a good day

A cylindrical can of paint has a volume of 200pi cubic inches.





What is the volume of a cone with a base and height that are congruent to the corresponding measures of the paint can?

Answers

Answer:

Step-by-step explanation:

What is 2/3 divided by 5?
Show your work

Answers

Answer:

2/15

Step-by-step explanation:

2/3 / 5/1  =  

2/3 x 1/5 = 2/15

Answer: 0.08

Step-by-step explanation: When dividing with fractions, you keep the first number change the symbol from division to multiplication. In this problem it would be 2/3*1/5. Your result is 0.08

Please Solve | 2x + 6 l<16

Answers

Answer:

x<5

Step-by-step explanation:

|2x+6|  <16

2x+6< 16

Both side -6

2x+6-6<16-6

2x<10

Both side divide 2

[tex]\frac{2}{2}[/tex]<[tex]\frac{10}{2}[/tex]

x<5

Write the expression in exponential form

Answers

Answer:

[tex] \sqrt[3]{ {x}^{5} } = {x}^{ \frac{5}{3} } [/tex]

is the right answer.

HELPPPPLLLLL PLEASEEE
Henna paste (1 batch)
3 cups of henna powder
1 tsp oil
2 tbsp sugar
2 cups of water
What is the ratio of cups to powder to cups of water for 4 batches of Henna paste?

Answers

Your answer would be 7

Answer:

the answer is 16

Step-by-step explanation:

because 3+1+2+2+2+2+2=16

The distance between two cities on a map is 8 cm. The scale on the map is 1 cm = 35 km. What is the actual distance between the two cities?

Answers

Answer:

Step-by-step explanation:

if the scale on the map is

1cm=35 km, then

8cm=35*8=280 km

this is the actual distance between the cities

2y-11=25 solve the equation

Answers

Answer:

18

Step-by-step explanation:

25 + 11 = 36

36/2 = 18

hope this helps

The lottery prize is 2m on the 1st week, 5m on the 2nd week. 10m on the 3rd. 13m on

the 4th. 26m on the 5th and 29m on the 6th week.

a) How much is the prize in the 10th week?

b) How much more is the prize worth on the 14th week than the 11th week?​

Answers

Answer:

a. $125 million

b. $259 million more

Step-by-step explanation:

Looking at the first 3 terms, 5 is 3 more than 2, and 10 is double 5. Knowing that, the pattern is every even term is 3 more than the previous odd, and every odd term is double the previous even. As a result, week 7's prize is $58m (29 * 2), week 8's is $61m (58 + 3), week 9 is $122m (61 * 2), and week 10 (what part a is asking for) is $125m (122 + 3).

Now for part 2. Week 11's prize would be $250m (125 * 2). Week 12's prize would be $253m (250 + 3). Week 13's would be $506 (253 * 2). Week's 14 would be $509 (506 + 3). Now, subtract 250 from 509 to find the difference in prize money, which is $259 million.

The temperature is dropping 5 degrees every hour. If it continues to

fall at this same rate for 12 hours, how many degrees will it drop

altogether?

Help meeeee

Answers

Just multiply 5x12 which is 60

Select the correct answer.
What is the justification for step 1 in the solution process?

8x + 15 = 11x + 2
Step 1: 8x = 11x − 13
A.
the addition property of equality
B.
the subtraction property of equality
C.
the multiplication property of equality
D.
the division property of equality

Answers

Answer:

b

Step-by-step explanation:

 

Answer:

b

Step-by-step explanation:

Multiply (- 9/20)(- 5/27)

Answers

Answer:

The answer to the question provided is [tex] \frac{1}{12} [/tex].

.

Step-by-step explanation:

☆Happy to help!

Answer:

Step-by-step explanation:

cancel out the - sign and get (9/20)(5/27)

multiply the top and bottom and get 45/540

simplify and get 1/12

or

simplify and get (1/4)(1/3) and get 1/12

9 and 27 can simplify

5 and 20 can simplify

Your family goes out for dinner at their favorite restaurant. The bill totals
$36 without the tip. Your parents want to leave a 20% tip. How much
should they leave for a tip?

Answers

Answer:

20 percent of 36 is 7 dollars so youd leave a 7.2 dollar tip plus the amount dinner costs

Step-by-step explanation:

no offense but that dinner seems kinda cheap for a whole family ngl

Pleaseeeeeeee helppppppp

Answers

Answer:

y = -3x + 6

Step-by-step explanation:

We can first find the y intercept by looking at y when x = 0

y intercept = 6

We can then find the slope by looking at the patterns on the tables.

As we can see, the top row's pattern is +4 every time

The bottom row's pattern is -12

Slope = rise/run

-12/4 = -3

Therefore, the equation for the chart is y = -3x + 6

Use the Distributive Property to expand −2(−3x−2) .

Answers

Answer:

6x + 4

Step-by-step explanation:

-2(-3x-2) = -2 × -3x + -2 × -2 = 6x + 4

Answer:

6x + 4

Step-by-step explanation:

up

what equation is used to find the vertex form of a parabola with the vertex (h, k)?

Answers

Answer:

y=a[tex](x-h)^{2}[/tex]+h

Step-by-step explanation:

equation for vertex form of a parabola is,

y=a[tex](x-h)^{2}[/tex]+h

Answer:

y=a+h

Step-by-step explanation:

Car A travels 90 km in the same time car B going 10 km/hr slower travels 60 km. Find the speech of each. List answer for car A first then car B. Do not show units.

Answers

Answer:

For

Car A : 30

Car B : 20

Step-by-step explanation:

Let the speed at which Car A travels be x and the time of travel be T. Recall that

speed = distance/time

Hence for Car A.

x = 90/T

T = 90/x

since Car B is B going 10 km/hr slower travels 60 km then

T = 60/(x - 10)

equating both equations

90/x = 60/(x - 10)

cross multiply

90(x - 10) = 60x

90x - 900 = 60x

90x - 60x = 900

30x = 900

Divide both sides by 30

x = 900/30

= 30

This is the speed of Car A : 30km/hr

The speed of Car B = 30 - 10 = 20 km/hr

2+4=? Sorry I forgot

Answers

Answer:6

Step-by-step explanation:

if you add 4 eggs to the carton of 2 eggs, you will have 6.

Plz help I will give you 10 points and brainliest but you have to simplify

Answers

i think it is 32/15 bc you have to times 4 and 8 then times 5 and 3
In a fraction the answer would be 47/40 but in a mixed number the answer would be 1 7/40 in a decimal it’s 1.175. Hope this helps

HELLLOPPPPPPPPPPPPpppppppppppp

Answers

Answer:

I am pretty sure it is  b

Step-by-step explanation:

because the < has no line under it no its the one with a open cricle also the this "<" is going to the left so its b.

Answer:

b

Step-by-step explanation:

Fill in the blanks to complete the equation that describes the diagram.
0
- 8
-12+
-4+

Answers

Answer:

-4+ -6

Step-by-step explanation:

..........................

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