A spherical balloon is inflated so that its volume is increasing at the rate of 2.5 ft3/min. How rapidly is the diameter of the balloon increasing when the diameter is 1.3 feet?

Answers

Answer 1

Answer:

.9417 ft/min

Step-by-step explanation:

Sphere volume = 4/3 pi r^3

dv/dr = 4/3 pi * 3 r ^2    = 4 pi r^2

dv/dr  * dr/dt =    dv/dt =  4 pi r^2  dr/dt

                          2.5   = 4 pi (1.3/2)^2 dr/dt      (Diameter is 1.3 , radius is 1.3/2)

                                 dr/dt = .4709  ft/min

  THIS answer is how fast the RADIUS is changing

         the DIAMETER is changeing TWICE this:

                2 x .4709 ft/min = .9417 ft / min     =   diameter/dt

 


Related Questions

Tina will use the number cube, the spinner, and the coin shown below in a game. The number cube has faces numbered 1 through 6. Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome. How many unique outcomes where the number on the cube is greater than 4 are possible?​
There are 4 slots for the spinner.
Answer Choices:
A. 12
B. 24
C. 16
D. 48

Answers

the answer is C
explanation

PLEASE HELP!!

(look at picture!)

Answers

Answer:

a. 35, 34

b. 25, 18

Step-by-step explanation:

How many participants will make 45 handshakes in total

Answers

N - number of participants
n(n-1)/2=45
n^2-n-90=0
(n-10)(n+9)=0
n(1)= 10

Your answer would be 10 participants

DOES ANYONE KNOW THE ANSWER ???? Please I can’t fail this test !

Answers

Answer:

The last option

Step-by-step explanation:

You take the middle 2 numbers, add them up, and divide by 2.

Write this percentage as a fraction in its simplest form. 50 %

Answers

Answer:

1/2

Step-by-step explanation:

50/100 = 5/10 =1/2

in it's simplest form

;)

Enter the unknown number to make the equation true.
Please help I’ll give brainless if possible

Answers

Answer:

It would be 70

Step-by-step explanation:

hope this helped :)

Carson grew up to be one of Texas most prominent real estate investor. Carson took $32,500 he made on the sale of a home and placed it in a new account that earns 6% compounded annually. Find the total amount after 5 years.



ps (delta math)

Answers

Answer:

$44,492.33

Step-by-step explanation:

Compound Interest Formula

A = P (1 + r/n)^(nt)A = amount of interestP = Principalr = interest rate (in decimals)n = number of times interest is compoundedt = number of years

Solving

A = (32,500)(1 + 0.06/1)⁵A = (32,500)(1.06)⁵A = (32,500)(1.33822558)A = $44,492.33 (nearest cent)

Can the volume of a cone with the same size base as a cylinder ever have a bigger volume? Explain

Answers

Answer:

No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.

Two players, A and B, are playing an asymmetrical game. There are n points on the game board. Each turn player A targets a pair of points and player B says whether those two points are connected or unconnected. A can target each pair only once and the game ends when all pairs have been targeted. Player B wins iff a point is connected with all other points on the very last turn, while player A wins if any point is connected with all other points on any turn but the very last one OR if no point is connected to all other points after the last turn. For what values of n does either player have a winning strategy?

Answers

The values of n does either player have a winning strategy is; Player B has a winning strategy for all n ≥ 2.

How to predict winning probability?

Let us use an example to solve this question. The game is played on the complete graph Kₙ (n ≥ 2), which consists of n vertices, each pair of vertices joined by an edge.

Now, Initially all edges are unpainted. At each turn, A chooses an edge, which B paints blue or red. Now, B will win if, after the last edge is painted, there is a vertex which is joined to all other vertices by blue edges. If that doesn't happen, then A wins.

The winning strategy of B is described by 3 rules which are;

Rule 1; Paint the last edge blue.Rule 2. Never paint an edge red if that would result in two red vertices being joined by an unpainted edge.Rule 3. Use red paint whenever permitted by Rules 1 and 2.

Thus, if n >2, the first edge will always be painted red, the second will always be painted blue.

In conclusion, when we apply that same scenario to our question it is the same result and as such Player B has a winning strategy for all n ≥ 2.

Read more about probability at; https://brainly.com/question/24756209

#SPJ2

The pencil is 10 cm long and the cup is 8 cm tall. Find the diameter of the base of the cup?

Answers

80 because when u do 10 times 8 it’s 80

Is 1000 a sequence in 50 65 80 95

Answers

Answer: yes

Step-by-step explanation:

it’s the 41st term

Divide. 12.92/105 please

Answers

Answer:

Decimal Form: 0.12304762 (Not Rounded)

Answer:

0.2584

Step-by-step explanation:

First off 10 to the 5th power is 10 x 5 = 50, so 12.92 / 50 is 0.2584.

Evaluate the indefinite integral.

Answers

Answer:

[tex]\frac{1}{3} x^3 - x^2 + 4x[/tex]

Step-by-step explanation:

All this takes is the use of the power rule, which, for integrals, says that

∫[tex]x^n[/tex] = [tex]\frac{1}{n+1}x^{n+1}[/tex].

With this in mind, we can integrate:

∫[tex]x^2 - 2x + 4[/tex]

= [tex]\frac{1}{3} x^3 - x^2 + 4x[/tex].

We can also check our answer by differentiating our answer:

[tex]\frac{d}{dx} (\frac{1}{3}x^3 - x^2 + 4x)\\\\ = x^2 - 2x + 4[/tex]

so we are correct!

hope this helped!

Ade think of a number.he double it and then subtract five.the results cannot less than 100 . find the range of value of x

Answers

Answer:

[tex]x > \frac{105}{2}[/tex]

Step-by-step explanation:

Let's say that the number is [tex]x[/tex].

He doubles the number and then subtracts five to get the number to be [tex]2x - 5[/tex]. If the result cannot be less than 100, then we can write the inequality [tex]2x - 5[/tex] > [tex]100[/tex]. Now, solving for x, we get [tex]x > \frac{105}{2}[/tex].

Find the MAD:
98, 140, 220, 150

Answers

Answer:

I'm not too sure but I think It's 34

Step-by-step explanation:

Rusty in that particular area of math

(3x+8) (x + 4) need help solving the problem

Answers

Answer:

3x^2 [squared] + 20x + 32 (If your factoring)

Step-by-step explanation:

3x X x = 3x^2

3× X 4 = 12x

8 X x = 8x

8 X 4 = 32

What is the value of x?


Answers

Answer:

x = 52°

Step-by-step explanation:

The angles add up to 360°.

x + 98 + x + 91 + x + 15 = 3603x + 204 = 3603x = 156x = 52°

NEED ASAP PLS HELP ILL MARK BRAINLIEST IF CORRECT
(06.02 MC)

A line is drawn on a scatter plot, as shown below:

Which statement best describes the line?

(A) It can be the line of best fit because it shows a positive linear association between x and y.
(B) It can be the line of best fit because it closely fits the data points.
(C) It cannot be the line of best fit because it does not pass through all the data points.
(D) It cannot be the line of best fit because it shows a negative linear association.

Answers

Answer:

B

Step-by-step explanation:

How do you divide fractions i forgot in the 5th grade

Answers

Keep the first fraction the same

Change the division symbol into a multiplication symbol

Swap the numerator and the denominator of the second fraction

Example:

[tex]\frac{1}{2} \div \frac{1}{4}[/tex] will turn into [tex]\frac{1}{2} \times \frac{4}{1}[/tex] giving you an answer of [tex]\frac{4}{2}[/tex] which is 2

- Kan Academy Advance

a knife is four times the cost of a spoon. 12 spoons and 16 knives cost £105.64. work out the cost of 1 knife

Answers

Answer:

£5.56

Step-by-step explanation:

let K be the cost of a knife

    S Ben the cost of a spoon

The statement “a knife is four times the cost of a spoon”

means  K = 4S

means  S = (1÷4)K

the statement “12 spoons and 16 knives cost £105.64”

means  12S + 16K = 105.64

⇔ 12(1÷4)K + 16K = 105.64

⇔ 3K + 16K = 105.64

⇔ 19K = 105.64

⇔ K = 105,64÷19

       = £5.56

Martha bought a 0.35​-kilogram bottle of spice. spice. She uses 80 grams a week. Is one bottle of spice enough for 6 ​weeks? Explain.

Answers

Answer:

She has not got enough spice for 6 weeks.

Step-by-step explanation:

Remark

0.35 kg = 0.35 * 1000 grams / kg = 350 grams.

Since she will use 6 * 80 = 480 grams for 6 weeks, and since 350 is less than 480, she does not have enough spice for six weeks.

Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.

Answers

Answer:

[tex]29i[/tex]

Step-by-step explanation:

From this information, we can write the following equation: [tex](2-5i)(2 + 5i)(i)[/tex]

We can see that there is the factorization of the difference of squares, so we can first expand that. The equation will become the following: [tex](4+25)(i)[/tex]

= [tex]29i[/tex]

hope this helped! :)

Solve for x in the equation -2/5 x = 12

Answers

Answer:

x= -30

Step-by-step explanation:

X is 30 ml:) hopefully that helps ml

Mrs. Purdue needs to pick three random students in her class to be representatives on the student council. Explain how Mrs. Purdue could use slips of paper to generate a random sample.

Answers

Answer:

See below

Step-by-step explanation:

She could have each student in the class write his or her name on a slip of paper and put it in a bowl. Then, she could shake the bowl and pull out any slip of paper with a student's name on it. After 3 times, the random sample would be over, and Mrs. Purdue would have her 3 representatives.

(3)(6)(-2)

Please Help

Answers

=> 18 x -2 = -36

hope it helps.

Answer:

-36

Step-by-step explanation:

(3)×(6)×(-2) =

18 × (-2) =

(remember plus per minus = minus)

-36

A bag contains 7 red marbles, 12 orange marbles, 18 yellow marbles, and 5 purple marbles. a marble is drawn at random from the bag. what is the probability that the marble drawn will not be orange? 130 112 27 57

Answers

Answer:

its 5/7

Step-by-step explanation:

no of marbles that r not orange = 30

no of total marbles = 42

probability = 30/42

= 15/21

= 5/7

I hope my answer is helpful

A box is shaped like a rectangular prism. the base area of the box is 630 square centimetres, and the height is 20 centimetres. determine the volume of the box.

Answers

Answer:

  12600 cm³

Step-by-step explanation:

The volume of a prism is the product of its base area and height:

  V = Bh

__

For your prism, this product is ...

  V = (630 cm²)(20 cm) = 12600 cm³

The volume of the box is 12600 cm³.

PLS HURRYYYY ITS DUE TODAY!!!

Malik is cutting boards for a project. He needs boards that are 712 inches long. He cut his first board too long. His percent error was 12%.

How long did Malik cut the board?

Enter your answer as a mixed number in simplest form in the box.

in.

Answers

Answer:

85 44/100

Step-by-step explanation:

I think this is the corect anser

Answer:

8 2/5

7 1/2 times 12 divided by 100 = 0.9

7 1/2 + 0.9 = 8.4

as a mixed number it would be 8 2/5

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!!!!

The diameter of a circle is 7 cm, What is it's area/circumference????!


HELP!!!!

Answers

Answer:

Below in bold.

Step-by-step explanation:

Circumference = π * diameter

= π * 7

= 20.99 cm to nearest hundredth.

Radius of the circle = 1/2 * diameter = 7/2

= 3.5cm.

Area = π r^2

= π * 3.5^2

= 38.48 cm^2 to nearest hundredth.

              - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

            ◈ The diameter of a circle is 7 cm. What is its area? How about its circumference?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

We're asked to find the circle's circumference, which can be found using the formula below:-

[tex]\textsf{Formula for Circumference of a Circle:- \boxed{\bold{C=\pi d}}}[/tex]

Where:-

[tex]\bold{C=Circumference}[/tex][tex]\pi[/tex] = pi               [3.14][tex]\bold{d=diameter}[/tex]

As per provided information (d=7cm), we can easily find the circumference by substituting 7 for d:-

↬ [tex]\sf{C=\pi (7)}[/tex]

On simplification,

   ↬ [tex]\sf{C=7*3.14}[/tex]

Remember, 3.14 is pi.

On further simplification,

            ↬  C=21.98 cm.

So we conclude that the circumference of the given circle is:-

   

      C=21.98 cm.

Now, how about the area?

[tex]\textsf{Formula for Area of a Circle:-\boxed{\bold{A=\pi r^2}}}[/tex]

Where:-

A=arear=radius (it's squared, which means it's multiplied times itself)

Notice that we only have the diameter and not the radius.

We can easily find the radius by dividing the diameter by 2:-

3.5

So the radius is 3.5.

Substitute the value of r into the formula, which results in:-

         ↬ [tex]\sf{A=\pi (3.5)^2}[/tex]

On simplification,

A=12.25π

On further simplification,

A=12.25•3.14 (3.14 is pi)

On further simplification,

A=38.465 cm²

Good luck.

                           -- - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Help me find the angle H equals in the attachment. I am running out of time pls help quick!!!​

Answers

Answer:

Angle H is 133

Step-by-step explanation:

(h-48)+95=180

solve it and you will get 133

Answer:

133°

Step-by-step explanation:

from the diagram,

(h- 48)° +95°= 180° ( angles on a straight line)

h-48+95 = 180°

h+47 = 180

collect like terms

h = 180-47= 133°

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