A beverage manufacturer performs a taste-test and discovers that people like
their fizzy beverages best when the radius 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:
The Answer is: B= about 1.44mm^3
Step-by-step explanation:
hope I could help you out :)
The volume of bubble is 1.44 cubic mm.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
Given data as :
Radius of the Bubble (r) = 0.7 mm
Volume of the bubble is given by the formula
[tex]r =\sqrt[3]{\dfrac{3v}{4\pi} }[/tex]
Taking cube on both sides
r³ = 3v/4π
Rearrange the equation,
v = 4πr³/3
Substitute the value of r in the above equation,
v = 4π(0.7)³/3
Substitute the value of π = 3.14
v = 4(3.14)(0.343)/3
v = 4.3/3
v = 1.44
Hence, the volume of bubble is 1.44 cubic mm.
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Related Questions
The table represents a function.
A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 1, 3, 5. The second column is labeled f of x with entries negative 2, 5, 4, negative 8.
What is f(5)?
–8
–1
1
8
Answers
Answer:
The value of f(5) is:
-8
Step-by-step explanation:
Lets make table which represents the function.
Th table has 2 columns, first column contains values for x, second column contains values of y
The table has 4 rows, which means that there are 4 values of x, which corresponds to 4 values of y.
The table is given as:
x f(x)
-4 -2
-1 5
3 4
5 -8
We need to find the value of f(5).
We can get the value of f(5) if we substitute x = 5 into f(x)
We can see in the table, that if we substitute x=5 in f(x), we get the value of f(5) = -8
Which is the answer
Answer:
F(5)=8
Step-by-step explanation:
Match the term to its definition.
1. represent a range of values within which a true mean will fall
an estimate that is a single number which is represented as a
2.
point on a line
subset of the total population from which estimates about the
3.
population can be made
interval estimate
point estimate
Sample data
Answers
Answer:
Sample data - subset of the total population from which estimates about the population can be made
Point estimate - an estimate that is a single number which is represented as a point on a line
Interval estimate - a range of values within which a true mean will fall
Hope this is correct :)
how would i graph this on a corrdinate plane you can just tell me the corridante
Answers
Identify if each graph represents a function. Explain your reasoning.
Answers
Answer:
A and B
Step-by-step explanation:
Do the vertical line test! A and B pass the test, however the circle doesn't. That means the circle is not a function.
Irrational numbers (picture provided)
Answers
Answer:
C would be irrational.
Step-by-step explanation:
Irrational means that you cannot make a distinct ratio with the number. One of the more famous irrational numbers are π. You cannot make π into a fraction with whole numbers for a numerator and denominator.
Other examples of irrational numbers are square roots that are not perfect square roots. C is not a perfect square so it is irrational.
Very large or very small numbers are best input with exponential notation. For instance, the number 8,000,000 (eight million) is equal to 8×106 . In this course, you can enter that as either 8 * 10 ^ 6 or as 8e6 in these problems. Try out exponential notation in the question below.
One light year is equal to 9,460,730,472,580.8 kilometers. Enter this number below in exponential notation. The tolerance on this question is 5%.
________km
Answers
Answer:
[tex]9*10^{12}km[/tex]
Step-by-step explanation:
[tex]9,460,730,472,580.8 km[/tex]
First, we can work out 5% of our number, by multiplying it by 0.05
[tex]9,460,730,472,580.8 * 0.05 = 473,036,523,629[/tex]
Now, if we add and subtract our 5% calculated from our original number, we can work out the minimum and maximum value that our final answer can be in the range of.
[tex]9,460,730,472,580.8 + 473,036,523,629 = 9.933767*10^{12}\\9,460,730,472,580.8 - 473,036,523,629 =8.98769395*10^{12}[/tex]
We can see that [tex]9*10^{12}[/tex] is in the range of valid answers, as:
[tex]8.9*10^{12} \leq 9*10^{12} \leq 9.9 * 10^{12}[/tex]
So, our final answer is:
[tex]9*10^{12}km[/tex]
Identify the graph and describe the solution set of this system of inequalities.
y> fx+5
Answers
Answer:
What does the graph look like
Step-by-step explanation:
The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.
What is inequalities?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values aren't equal. But several inequalities are utilised to compare the numbers, whether they're less than or higher than.
The different inequality representations, properties, and methods for resolving linear inequalities throughout one variable or two variables will all be covered in this article along with examples. The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.
Therefore, the inequalities have no solution since their graph does not intersect or overlap.
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You have bumped into the car in front of you. You are injured in the collision, resulting in $2,500 in medical expenses. Your policy provides only liability insurance, with a limit of $25,000, and your deductible is $500. How much will your insurance company pay toward these medical expenses?
a) $0
b) $500
c) $2,000
d) $2,500
Answers
Answer: $2,000
Step-by-step explanation:
Your insurance companies limit is 25,000. You only need 2,500 but there is a deductible. You will get 2k
What is 5,267 rounded to the nearest ten?
Answers
Answer:
2,270
Step-by-step explanation:
If you look at the last two numbers, then you can see that the closest ten to 67 is 70.
Answer:
5,270
Step-by-step explanation:
WE CONSIDER 7 TO BE THE NO WHICH WILL BE USED FOR ROUNDING
SO 7 IS MORE THAN 5 SO WE ADD 1 TO THE TENS PLACE
0,1,2,3,4=+0
5,6,7,8,9=+1
d to master them
A chameleon is looking for prey. Let positive numbers represent the elevation of prey above the chameleon and
negative numbers represent the elevation of prey below the chameleon
The chameleon spots a fly and a grasshopper.
What does an elevation of 0 m represent in this situation?
Choose 1 answer
The elevation of the fly
The elevation of the chameleon
Answers
Find the value of x In this triangle
Answers
Answer:
x = 25
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
2x+ x+15 +90 = 180
Combine like terms
3x+ 105 = 180
Subtract 105 from each side
3x+105-105 = 180-105
3x = 75
Divide each side by 3
3x/3 = 75/3
x = 25
The value of X is 25 degree.
please see the attached picture for full solution
Hope it helps..
Good luck on your website
Write the slope intercept form 2x-3y=9
Answers
Answer:
y = 2/3 x - 3
i hope i helped
What is the solution to this equation?
-13x=78
O A. x= 6
B. X= -5
O c. x= -6
O D. x= 5
Plzzz help mee
Answers
Answer:
x = -6
Step-by-step explanation:
-13x=78
Divide each side by -13
-13x/-13 = 78/-13
x =-6
Answer:
x = -6
Step-by-step explanation:
-13x = 78
x = 78/-13
x = -6
solve for x. Will mark the brainliest.
Answers
Answer:
x=10 degrees
Step-by-step explanation:
11x+14=46+(8x-2)
11x+14=46+8x-2
3x+14=44
3x=30
x=10
Answer:
x=10
Step-by-step explanation:
180-(11x+14)=intern angle
166-11x=intern angle
166-11x+8x-2+46=180
-3x+210=180
180-210=-3x
-30=-3x
-30/-3=x
10=x
17. What is the slope of the line given by the equation
2x + 9y = -18?
A.-2
B.-
[tex] \frac{9}{2} [/tex]
c. -
[tex] \frac{2}{9} [/tex]
D.2
E.9
Answers
Answer:
slope = - [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 9y = - 18 ( subtract 2x from both sides )
9y = - 2x - 18 ( divide all terms by 9 )
y = - [tex]\frac{2}{9}[/tex] x - 2 ← in slope- intercept form
with slope m = - [tex]\frac{2}{9}[/tex]
Wich equation represents a linear function
Answers
Answer:yeah ❤️
Step-by-step explanation:
te tree♾
Answer:
y=x-3
or the 3rd option.
The circumference of a circular painting is 59.66 feet. What is the radius of the painting? Use 3.14 for π and do not round your answer.
Answers
Answer:
9.5 feet
Step-by-step explanation:
So let's review the equations we need to know.
Circumference= π x d or π x 2r
Since we are solving for r, let's stick with the 2nd one.
Next, plug in the values.
59.66=3.14 x 2r
simplify.
59.66=6.28r
9.5=r
done!
the radius is 9.5 feet!
Write an inequality to model the situation.
The temperature must be kept below 32 degrees.
Answers
Answer:
x<32
Step-by-step explanation:
Answer:
t > 32
Step-by-step explanation:
2. If you’re good at geometry could somebody please help me?
Answers
Answer:
See the explanation.
Step-by-step explanation:
The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse (diagonal, longest side) of the triangle.
We can see that the legs are labeled 15 (blue) and 8 (red). Substitute that into the equation.
(8)^2 + (15) ^2 = c^2
From there, we can simplify and solve for c.
64 + 225 = c^2. Add.
289 = c^2. Take the square root.
c = 17.
I hope this helps!
Answer: 17
Pro tip: 3/4/5, 5/12/13 and 8/15/17 are the first three Pythagorean Triples on the list and teachers like to use them for problems. The multiples also come up, like 6/8/10. Learn these and save yourself some calculation down the road.
Let's do it like they want
a² + b² = c²
8² + 15² = c²
64 + 225 = c²
289 = c²
√289 = √c²
17 = c
* ANSWER PLS * What are two types of angle measurements? a.) metrics and radians b.) radians and metrics c.) degrees and metrics d.) degrees and radians
Answers
Answer:
D.
Step-by-step explanation:
The two types of angle measurements are:
1) Degrees ( ° )
2) Radians ( r)
2 Points
In the diagram below, DE is parallel to 7. What is the value of x?
2
119
F
X
y
O A. 115
B. 85
C. 65
D. 105
O
Answers
Answer:
C
Step-by-step explanation:
The angle adjacent to x on XY = 115° ( corresponding angle )
This angle and x are adjacent and supplementary , thus
x = 180 - 115 = 65 → C
Answer:
65⁰
Step-by-step explanation:
x + 115⁰ = 180⁰ (co exterior)
x = 180 - 115 = 65⁰
The largest z-score available in most tables is 2.99, which corresponds to a probability of 99.86%. A fair coin is
tossed 200 times.
a) What number of heads observedžwould correspond to a z-score of 2.99? [2]
Answers
Answer:
The number of heads observed is 121.14 heads
Step-by-step explanation:
The formula for the z-score of a proportion is given as follows;
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}[/tex]
Where:
[tex]{\hat{p}[/tex] = Sample proportion
p = Population success proportion = 0.5
q = 1 - p = 1 - 0.5 = 0.5
n = Number in of observation = 200
z = 2.99
Hence, we have;
[tex]z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99[/tex]
Therefore;
[tex]{\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}[/tex]
[tex]{\hat{p}[/tex] = 0.6057
[tex]Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} = \dfrac{Number \ of \ heads}{200} = 0.6057[/tex]
∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.
How many numbers can you make between 0-99 using exactly four 4s?
Answers
Answer:
Number Four Fours Term Solved By
0 4 - 4 + 4 - 4 johnv
1 (4/4) / (4/4) johnv
2 4/4 + 4/4 pilot
3 (4+4+4) / 4 pilot
4 [ (4/4) ^4 ] * 4 catbells
5 [ 4*4 +4 ] / 4 pilot
6 [ (4+4) /4 ] +4 scruffy
7 4+4 - (4/4) Flora Flatbelly
8 4*4 - 4 - 4 catbells
9 4/4 +4 +4 scruffy
10 4 + √4 + √4 + √4 P Rubie
11 44 / (√4 + √4) christina
12 4 + 4 + √4 + √4 johnv
13 4!/(√4) + 4/4 tackline
14 4+4+4 + √4 D12Bit
15 (44/4)+4 D12Bit
16 4*4*4 / 4 D12Bit
17 4*4 + 4/4 D12Bit
18 4*4 + 4 / √4 D12Bit
19 4! - 4 - 4/4 ?
Solutions to the Second Challenge: 20 to 99
Number Four Fours Term Solved By
20 4 * 4 + √4 + √4
21 4! - 4 + 4/4
22 4! - (4! / 4 - 4)
23 4! - 4^(4-4)
24 4 * ( 4 + 4/√4 )
25 4! + 4^(4-4)
26 4! + (4! / 4 + 4)
27 4! + 4 - 4/4
28 4! + 4 * (4/4)
29 4! + 4 + 4/4
30 (4 + 4/4)! / 4
31 (4! + 4)/4 +4! MicheleR
32 4*4 + 4*4
33 (4 - .4)/.4 + 4! IceMantis
34 4*4 * √4 + √
35 4! + 44/4
36 4*4 * √4 + 4
37 4! + (4! + √4) / √4 christina
38 44 - 4 - √4
[39] 4! + 4! - 4/.4~
40 44 - √4 - √
41 (4*4 + .4) / .4
42 44 - 4/√4
43 44 - 4/4
44 44 + 4 - 4
45 44 + 4/4
46 44 + 4/√4
47 4! + 4! - 4/4
48 44 + √4 + √4
49 4! + 4! + 4/4
50 44 + 4! / 4
51 (4! - 4 + .4) / .4 Mr.B
52 44 + 4 + 4
[53] 44 + 4 / .4~
54 4! + 4! + (4! / 4)
55 [4! - ( 4 / √4 ) ] IceMantis
56 44 + 4! / √4
[57] 4! + 4! + 4/.4~
58 4! + 4! + 4/.4 IceMantis
59 4!/.4 - 4/4 FireMantis
60 44 + 4 * 4
61 4!/.4 + 4/4 FireMantis
62 (4 + 4) ^ √4 - √4
63 (4! + √4) / .4 - √4 FireMantis
64 4 * 4 * √4 * √4
65 (4^4 +4) / 4 Jeremy
66 (4 + 4) ^ [√4] + √4
67 [4! + √4] / .4 + √4 FireMantis
68 (4 + 4) ^ √4 + 4
69 (4!+4-.4)/.4 Partick
70 44 + 4! + √4 FireMantis
71 (4 + 4! + .4) / .4 IceMantis
72 [ (4! / 4) ^ √4 ] * √4
[73] [4! * √4 + √.4~)] / √.4~) capOCC
74 4! + 4! + 4! + √4 FireMantis
75 (4! + √4 + 4) / .4 FireMantis
76 4!*4 - 4! + 4 Jeremy
[77] (4/.4~) ^ √4 - 4 FireMantis
78 √4 / .4~) * [4! + √4] ArBeeJay Ruakura
79 (4/.4~) ^ √4 - √4
80 4! * 4 - 4*4 -
[81] (4/.4~) * (4/.4~) -
82 (4! / .4) + 4! - √4 Partick
[83] (4/.4~) ^ √4 + √4 -
84 4! * 4 - 4! / √4 -
[85] (4/.4~) ^ √4 + 4 -
86 4!*4 - 4/.4 IceMantis
87 4! * 4 - 4/.4~ -
88 4! * 4 - 4 - 4 -
89 4! + [4! + √4]/.4 RyVikOCC
90 4! * 4 - 4! / 4 -
91 4 * 4! - (√4 / .4) IceMantis
92 4! * 4 - √4*4) -
[93] 4 * 4! - [ √4 / √(.4~) ] IceMantis
94 4! * 4 - 4/√4 -
95 4! * 4 - 4/4 -
96 4! * 4 + 4 - 4 -
97 4! * 4 + 4/4 -
98 4! * 4 + 4/√4 -
[99] (4!*√4-4) / .4~ IceMantis
Step-by-step explanation:
What is the slope of the line?
Thank you!!
Answers
Kesley graphed the equation y = 3x + 1 as shown below
Answers
First of all, what graph and second, what is "shown below"
The graph will be a line that passes through these points. In this case, the line will have a positive slope of 3 and a y-intercept of 1. None of the options is correct.
The graph of the equation y = 3x + 1 is a straight line.
To graph this equation, we need to plot points that satisfy the equation and then connect those points to create the line.
We can choose any values for x and calculate the corresponding y values using the equation. Let's choose a few x-values to get started:
When x = 0:
y = 3(0) + 1 = 1
So we have the point (0, 1).
When x = 1:
y = 3(1) + 1 = 4
So we have the point (1, 4).
When x = -1:
y = 3(-1) + 1 = -2
So we have the point (-1, -2).
We can continue this process and plot more points to have a clear representation of the line.
Once we have a few points, we can connect them with a straight line.
The resulting graph will be a line that passes through these points. In this case, the line will have a positive slope of 3 and a y-intercept of 1. Since Kesley draws the wrong x-intercept.
None of the given options is correct.
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The question given is incomplete, the complete question is attached in the image below.
Which of the following represents the reflexive property of length? Question 6 options: A) m∠A = m∠A B) If AB = CD, then CD = AB C) x° = x° D) AB = AB
Answers
Answer:
D) AB = AB
Step-by-step explanation:
The reflexive property states that a value is equal to itself: x = x.
The reflexive property of length states that a length is equal to itself:
AB = AB
A) and C) are wrong. They represent the reflexive property of angles.
B) is wrong. It represents the symmetric property of length.
Answer:
D
Step-by-step explanation:
Which graph shows the solution to the system of linear inequalities below?
Answers
Answer:
B
Step-by-step explanation:
The red line is y = 2x + 3 and the blue line is y = -2x - 4. The solution will be shaded on the left side of the red line and below the blue line which is Graph B.
Answer:
B
Step-by-step explanation:
Check the inequalities
2 Points
In the diagram below, DE is parallel to ty. What is the value of y?
D
100"
yº
.
O A. 60
B. 100
C. 120
D. 80
Answers
Answer:
80 degrees
Step-by-step explanation:
Co-interior angles
The measure of y is 80 degree.
Option D is correct.
What are Parallel line?The basic qualities listed below make it simple to identify parallel lines.
Parallel lines are defined as straight lines that are always the same distance apart.Parallel lines, no matter how far they are extended in either direction, never intersect.As, from the property of parallel line we have
corresponding Angle are equalAlternate interior angle are equalCo interior angles are supplementary.As, DE || XY then
y+ 100 = 180 ( Angles on same side of transversal)
y= 180- 100
y= 80 degree
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I will give u 100 points if u can answer this quition pls it is hard for me John has three pieces of rope. One piece was 31 cm long, one piece was 0.33 m long, and one piece was 0.45 m long. John wants to know how much rope he has. Which statement best describes how John should figure out the amount of rope he has? Add 31 + 0.33 + 0.45; John has 31.78 cm of rope. Add 31 + 0.33 + 0.45; John has 31.78 m of rope. Add 0.31 + 0.33 + 0.45; John has 1.09 cm of rope. Add 0.31 + 0.33 + 0.45; John has 1.09 m of rope.
Answers
Answer:
Add 0.31 + 0.33 + 0.45;
Step-by-step explanation:
Hope I got it right! If not i'm sorry.
Answer: The last one where it’s 1.09 rope
Step-by-step explanation: cm and m are different measurements so this is the only one that works since 31 would be a decimal
1. Focus is at (0,7) and the Directrix is y = 1.
a) Sketch the parabola.
b) What are the coordinates of the vertex?
Answers
Answer:
a) see the attached file
b) Coordinates of vertex = (0, 4)
Step-by-step explanation:
Given:
Focus of parabola is [tex](0,7)[/tex] and the directrix is [tex]y=1[/tex]
To sketch: the parabola
To find: coordinates of the vertex
Solution:
As the focus lies on the y-axis and y-coordinate of the focus is positive,
equation of parabola is [tex](x-h)^2=4p(y-k)[/tex]
Here, [tex](h,k)[/tex] denotes the vertex of parabola, focus is [tex](h,k+p)[/tex] and the directrix is [tex]y=k-p[/tex]
According to question,
[tex](h,k+p)=(0,7)[/tex]
[tex]k-p=1[/tex]
So, [tex]h=0[/tex]
[tex]k+p=7\,,\,k-p=1[/tex]
On adding these equations,
[tex]k+p+k-p=7+1\\2k=8\\k=4[/tex]
Put [tex]k=4[/tex] in [tex]k+p=7[/tex]
[tex]4+p=7\\p=7-4\\p=3[/tex]
So, equation of parabola is [tex](x-0)^2=4(3)(y-4)\Rightarrow x^2=12(y-4)[/tex]
For part a), see the attached file.
b)
Coordinates of vertex = [tex](h,k)=(0,4)[/tex]
