A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the redius of the bubbles is about 0.7 mm. According to the formula below, what would be the volume of one of these bubbles?

Answers

Answer 1

Answer:

0.267[tex]mm^3[/tex]

Step-by-step explanation:

Radius of the Bubble = 0.7 mm

Volume of the bubble is given by the formula :

[tex]r=\sqrt[3]{\frac{3V}{4\pi } }[/tex]

Taking cube on both sides

[tex]V=\frac{4\pi\times r^3 }{3}\\\\ V=\frac{4\times3.14\times(0.7)^3}{3}\\\\V=\frac{12.56\times 0.064}{3}\\\\ V=\frac{0.804}{3}\\\\V=0.267mm^3[/tex]


Related Questions

What is 1/7 x 140 ( Multiplying fractions by whole numbers using tape diagrams)

Answers

Answer:

20

Step-by-step explanation:

20 is your answer

need help with soh cah toa will award most brainliest

Answers

Answer:

46.07

Step-by-step explanation:

CAH (cosine=adjacent/hypotenuse)

cos (71)=15 (adjacent)/x (hypotenuse)

x=15/cos(71)

x=46.07

Answer

so what you do is

Step-by-step explanation:

do Cos71= 15/x

becomes x times cos71 = 15

becomes x =  15/cos71

then if u put in calculater and type 15 divided by the cos of 71 and make sure oyur calculater is on degrees an you will get answer

If you were given the area of a figure and told that all the dimensions of the figure would be cut in half, how could you find the area of the new similar figure?

Multiply the area of the original figure by 4.
Divide the area of the original figure by 1/2 .
Multiply the area of the original figure by 1/2 .
Divide the area of the original figure by 4.

Answers

Answer:

multiply the area of the original by 1/2

Step-by-step explanation:

when cutting a shape in half, its area is also halved, but not all dimensions change

Answer:

Divide the area of the original figure by 4.

Step-by-step explanation:

Area of current figure:

A= ab

Area of new figure:

A'= 1/2a*1/2b= 1/4ab= 1/4A

So the area of the original figure to be divided by 4

Last answer option is correct

Which expression is shown using the model below?

Answers

Answer:

C

Step-by-step explanation:

Hopefully

C

I did it on edge hopefully this helps you and don't think i copied the other person

20 points someone who actually knows what they doing lol❤️

Answers

Answer:

77°

Step-by-step explanation:

We can use: [tex](c*9/5)+32=f[/tex] to convert Celsius to Fahrenheit.

'c' - Celsius

'f' - Fahrenheit

Replace 'c' with 25:

[tex](25*9/5)+32=f\\45+32=f\\\boxed {77 = f}[/tex]

25° Celsius is 77° Fahrenheit.

Answer:

77

Step-by-step explanation:

which expression is equivalent
HELP ME PLEASE

Answers

Answer:

the 4th option is correct

Step-by-step explanation:

[tex]xy^{2/9}[/tex]   Original expression

[tex]x(y^{2})^{1/9}[/tex]   Split up the exponent

[tex]x(\sqrt[9]{y^{2} } )[/tex]   The 1/9 of an expression is the same thing is the 9th root of the expression.

First, tell whether each decimal is a fraction or a mixed number.
Then, write it in simplest form. 0.85​

Answers

Answer:

Proper fraction.

Step-by-step explanation:

[tex] \frac{85}{100} \\ \\ simplify to= \frac{17}{20} [/tex]

Please help! Correct answer only! This assignment is due today.


A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.

If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Use the properties of exponents to determine the value of aa for the equation: Screenshot is below

Answers

Answer:

a = -9/20

Step-by-step explanation:

We can evaluate what’s on the left hand side of the equation to get what a is.

The numerator can be expressed as x^(4/5)

The denominator is x^5/4

we use the law of indices to finish this off

That would be;

x^(4/5) ÷ x^(5/4)

Using the second law of indices;

x^(4/5-5/4) = x^-9/20

Since the bases are now equal, then we equate the powers

Thus a = -9/20

Miss penny inherits £450 she decides to save some of the money and spend the rest. The ratio of savings to spending money is 9:6 How much does she save and how much does she spend?

Answers

Answer:

she spent £270.

Step-by-step explanation:

First, let us define what a ratio of 9:6 means.

when you have a ratio such as this, you have to add both ratios first:

9+6 = 15

This means that out of every 15 parts, the ratio of the sharing is 9 parts to 6 parts.

Now let us solve the problem

Savings to spending = 9:6

if total amount = m

ratio saved = 9/15 × m

ratio spent = 6/15 × m

Now total amount (m) = £450

∴ ratio saved = 9/15 × 450 = 4050/15 = £270

Therefore she spent £270.

To calculate the amount saved, we simply subtract 270 from 450, or we use (6/15 × 450). You can try it out to see if you get the same answer, which is she spent £180

Someone help me with this like right now like right now

Answers

Answer:

C

Step-by-step explanation:

M = K

N = L

M + K + N + L = 360

Answer:

C

Step-by-step explanation:

write 3x^2/5 in radical form

Answers

Answer:

  [tex]3\sqrt[5]{x^2}[/tex]

Step-by-step explanation:

As written, no radical is implied. The expression can be rewritten as ...

  (3x^2)/5 = (3/5)x^2

_____

Perhaps you intend ...

  3x^(2/5)

The denominator of the exponent becomes the index of the radical:

  [tex]3x^{\frac{2}{5}}=\boxed{3\sqrt[5]{x^2}}[/tex]

Joe went shopping yesterday. He saw a new Wii game that costs $55.00. It was on sale for 20% off. How much did Joe pay for the game after the discount? (don't include tax)

Answers

Answer:

the answer is 1100

Step-by-step explanation:

you will do... 5500*20/100

Simplify the following (7)(-6).

Answers

Answer:

-42

Step-by-step explanation:

7 x -6 = 42

Liam highlighted the columns in the multiplication table below to find equivalent ratios. A multiplication table. In the row labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the row labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. The same number goes into each box to make the two ratios below equivalent. StartFraction 4 Over blank EndFraction, StartFraction blank Over 36 EndFraction Which number goes into both boxes?
A-6
B-9
C-12
D-18

Answers

9514 1404 393

Answer:

  C-12

Step-by-step explanation:

You want to find n such that ...

  [tex]\dfrac{4}{n}=\dfrac{n}{36}\\\\4\cdot36=n^2\qquad\text{multiply by $36n$}\\\\\sqrt{4\cdot36}=n\\\\2\cdot6=\boxed{n=12}[/tex]

Answer:

12

Step-by-step explanation:

Took the test on edg I got 100%.

Please help me. I don't understand how to work it out. ​

Answers

You move it to the left

[tex]answer \\ = 60 \: meters \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]

Tony wants to put $318,000 in his retirement savings account. It earns an interest rate of 7.1% compounded quarterly. He wants to determine how much he will have in the account after 5 years, even if he makes no additional contributions or withdrawals to the account
A. $448099.52
B. $347242.34
C. $452115.44
D. $341186.28
which answer correct

Answers

Answer:

C. $452115.44

Step-by-step explanation:

To solve this, we will follow the steps below;

first write down the formula for  compound interest

A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt

where A is the ending amount

P represent the principal

r represent the interest rate

n represent the number of compounding a year

t represent the time {in years)

from he question above

p= $318 000

r = 0.071

n = 4  since is quarterly

t= 5

we can now proceed to insert the values into the formula

A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt

  =318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^4(5)

  = $318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^20

   =$318 000 [1+0.01775] ^20

    = $318 000 [1.01775] ^20

     =$318 000× 1.421747

      ≈$452 115.44

He will have $452 115.44 in the account

An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?

Answers

Answer:

2664

Step-by-step explanation:

9.25×36+(380÷20)×8

the sum of two binomials is 9x^2-4x. if one of the binomials is 3x^2-2x, which of the following choices is the other binomial? a) 6x^2-2x b) 6x^2-6x c) 12x^2-6x d) none

Answers

Answer:

B. 6x²-6x

Step-by-step explanation:

If the sum of two binomials is 9x²-4x, and we know that one of them is 3x²-2x, we must subtract 3x²-2x from 9x²-4x to find the second binomial.

9x²-4x-3x²-2x

Combine like terms

6x²-6x

Suppose p and q are inversely proportional. If p=25 when q=6, find the value of p when q=15 Please help me!!!

Answers

Answer:

p=10 when q=15

Step-by-step explanation:

p and q are inversely proportional

It means

p=k/q

p=25 when q=6

p=k/q

25=k/6

k=25÷1/6

k=25×6/1

=150

k=150

Find p when q=15

p=k/q

p=150/15

=10

p=10

PLEASE HELP I need the answer for this ASAP pleaseeeee

Answers

Answer:

13

Step-by-step explanation:

[tex]f(x) = 5 \sqrt{x} + 8 \\ f(1) = 5 \sqrt{1} + 8 \\13[/tex]

Hope this helps..

What characteristics of these geometric figures create the different requirements?

Answers

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition. 

-Peter ( hope its right )

Divide 8848 by 16(Show working)

Answers

Answer:

553

Step-by-step explanation:

              5  5    3

     ---------------------

16  /  8   8   4    8

        8   0

      ---------------

              8   4

              8   0

             ----------------

                    4    8

                     4   8

                   -----------

                            0

The quotient is 553.

                     4   8

                    ----------

                           0

Please help! Correct answer only!

For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Cindy is facing South through how many degrees should she turn clockwise to face East? a. 90° b. 180° c. 270° d. 360° e. Other:

Answers

Answer:

90°

Step-by-step explanation:

because from south to east is half of north which makes it 90°

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

The slope is 3

Step-by-step explanation:

Or 3/1

Cheers! :)

PS: GOT AN QUESTION WORTH 10 POINTS ANYONE INTERESTED?

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer & Step-by-step explanation:

The figure shown in the diagram is a square. Squares have equal lengths on all sides. So, in order to find out the side length, we will have to factor the area.

x² - 12x + 36

First, you will break down x² which will just be x and x. Since 12x is negative and 36 is positive, then we will use a minus sign.

(x - )(x - )

Now, we break down 36 which will be 6 and 6. After we do that, we will have our answer.

(x - 6)(x - 6)

So, the side length of the square is (x - 6) meters.

Which graph represents the function g(x) = |x + 4| +2

Answers

Answer:

none of the two graphs in the pic.

it should be one in the II quadrant

Step-by-step explanation:

the plus four means to move 4 to the left

the plus 2 means to move up 2

That would make the vertex in the II quadrant.

Answer:

its A

Step-by-step explanation:

Which of the following statements is true of the Alien and Sedition Acts?


They were designed to keep immigrants and the French in power.


They encouraged Americans to speak out against the government.


They were supported by Federalists and not by Democratic-Republicans.

Answers

Answer:

C (the last one)

Step-by-step explanation:

The Alien and Sedition Acts were a series of four laws passed by the U.S. Congress in 1798 amid widespread fear that war with France was imminent. The four laws–which remain controversial to this day–restricted the activities of foreign residents in the country and limited freedom of speech and of the press. Also, The Alien and Sedition Acts were four laws passed by the Federalist-dominated 5th United States Congress and signed into law by President John Adams in 1798. Seeing this, the last on is the only reasonable one.

Hope this helps!!!!

Answer:

They were supported by Federalists and not by Democratic-Republicans.

Step-by-step explanation:

I took the edge 2021 test

BRAILIEST?

6. A wire Il om long has a mass of 187 g. What is the mass of 7 cm of this wire?

Step by step explansion​

Answers

Answer:

119 g.

Step-by-step explanation:

11 cm has a mass of 187 g

So 1 cm has a mass of 187/11 g

7 cm ...............................  (187/11) * 7

= 17 * 7

=  119 g.

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