What differences would you expect to observe between a random walk of a molecule in a gas and a random walk of a protein molecule in water
The main difference between the random walk of a gas molecule and that of a protein molecule in water is that the gas molecule will have a lower random walk.
Random Walk This refers to the random movements taken by a molecule in a state of matter. Is heavily affected by the collisions the molecule makes with other molecules.When there is a high frequency of molecules, as is the case in a liquid, there will be more random walks because molecules will keep bumping into each other. In gas however, the random walk will be less because molecules are more spaced out.
In conclusion, the gas molecule will have less random walk.
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A plumber charges an initial $75 tip fee plus $60.00 for every hour worked. How much does the plumber charge for 4.5 hours of work? D. $345 C. $315 B. $270 A $135
Answer:
D
Step-by-step explanation:
What is the value of tan(alpha), if CH=3, BH=6.4
Answer:
6.4 / 3 or 2.13Step-by-step explanation:
tangent = opposite / adjacenttan α = CH/AHThe triangles ACH and CBH are similar by AA.
According to similarity we have same ratio of corresponding sides:
CH/AH = BH/CHSo the value of the tan α is:
tan α = BH/CH = 6.4 / 3 ≈ 2.13[tex]\\ \tt\longmapsto CH^2=AH(BH)[/tex]
[tex]\\ \tt\longmapsto 9=6.4AH[/tex]
[tex]\\ \tt\longmapsto AH=1.4[/tex]
So
[tex]\\ \tt\longmapsto tan\alpha=CH/AH[/tex]
[tex]\\ \tt\longmapsto tan\alpha =\dfrac{3}{1.4}[/tex]
[tex]\\ \tt\longmapsto tan\alpha=2.14[/tex]
Solve for the variable in the following equation: |1/3y-7|=|2/5y+5|
Answer:
y = {-180, 2 8/11}
Step-by-step explanation:
I like to solve these using a graphing calculator. I generally start by writing the equation in the form ...
f(y) = 0
This can be done by subtracting the right-side expression from both sides. The solution will be the horizontal intercepts of the graph:
y = -180; y = 2 8/11
__
To solve this analytically, you need to recognize that this resolves into four equations, effectively two identical pairs. Each equation comes with a set of conditions (domain) for which it is applicable. Here is the expanded set of equations:
1/3y -7 = 2/5y +5 . . . both positive: 1/3y -7 ≥ 0 and 2/5y + 5 ≥ 0
7 -1/3y = 2/5y +5 . . . left side negative: 1/3y -7 ≤ 0 and 2/5y +5 ≥ 0
1/3y -7 = -2/5y -5 . . . right side negative: 1/3y -7 ≥ 0 and 2/5y +5 ≤ 0
7 -1/3y = -2/5y -5 . . . both sides negative: 1/3y -7 ≤ 0 and 2/5y +5 ≤ 0
__
The conditions resolve to ...
1/3y -7 ≥ 0
y -21 ≥ 0 . . . . . multiply by 3
y ≥ 21 . . . . . . . add 21
and ...
2/5y +5 ≥ 0
y +25/2 ≥ 0 . . . . multiply by 5/2
y ≥ -25/2 . . . . . subtract 25/2
Now, we are in a position to solve the equations and determine where the solution is applicable.
__
both positive
The domain will be y ≥ 21 and y ≥ -25/2, which is y ≥ 21.
Multiplying the equation by 15 gives ...
5y -105 = 6y +75
y = -180 . . . . . . . . . subtract 5y+75
This solution is not in the allowed domain.
__
left side negative
The domain will be y ≤ 21 and y ≥ -25/2, which is -25/2 ≤ y ≤ 21.
Multiplying the equation by 15 gives ...
105 -5y = 6y +75
30 = 11y . . . . . . . . . add y-75
y = 30/11 . . . . . . the solution is in the allowed domain
__
right side negative
The domain will be y ≥ 21 and y ≤ -25/2. This is the empty set.
__
both sides negative
The domain will be y ≤ 21 and y ≤ -25/2, which is y ≤ -25/2.
Multiplying the equation by 15 gives ...
105 -5y = -6y -75
y = -180 . . . . . . . . . . add 6y-105 . . . . the solution is in the allowed domain
__
Solutions to this equation are ...
y = 30/11 = 2 8/11
y = -180
Hans has bought tickets for a raffle. The probability of his winning is 1/9
What are the odds in favor of his winning?
Answer:
1/9 or roughly 11.1%
Step-by-step explanation:
Hope I helped you
Which number line shows 2/3r - 5 > 3
Answer:
The third answer is correct
Step-by-step explanation:
Solve the inequality by compensating it like an equation.
Answer:
3rd line
Step-by-step explanation:
3. What number is 35% of 20?
Answer:
7
Step-by-step explanation:
20*0.35=7
A biology teacher has 5 different pets they keep in their classroom. For an upcoming holiday break, the teacher
will send the pets home with students. Suppose that 16 of the teacher's 75 students volunteer to take a pet
home, and the teacher will randomly select 5 of those volunteers to cach take 1 pet home.
The permutation formula n Pr can be used to find the number of unique ways the teacher can distribute pets to
the volunteers
What are the appropriate values of n and r?
n
1
The number of unique ways the teacher can distribute pets to the volunteers is given by nPr with; n =16 and r = 5.
Permutations and arrangement.The term permutation represents the number of unique ways in which an arrangement can be carried out from a set of given possible choices.
According to the given question;
Although, there are 75 students in the class, only, only 16 students volunteered to take a pet home.Therefore, the teacher only has 16 students to select from. Hence, n= 16. The teacher needs to choose 5 among the volunteer students to take a pet home, hence, r= 5.
On this note, the given permutation is nPr with; n=16 and r= 5.
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A football team loses 7 1/2yards on a play. Then they lose 20 yards on the next one. What is the
Difference between those losses?
Answer:
5 yard loss
Step-by-step explanation:
Answer:
12 1/2 yardsStep-by-step explanation:
Find the difference of the given numbers:
20 - 7 1/2 = 7 + 13 - (7 + 1/2) = 7 + 13 - 7 - 1/2 =13 - 1/2 = 12 1/2Find the mean of the following scores.
50, 66, 68, 50, 58, 98, 66, 78.
=
50 + 66 + 68 + 50 + 58 + 98 + 66 +78 = 534
534/8 = 66.75
Mario has 4 pairs of shoes. His sister, Felicity has five more pairs of shoes than Mario. Write an expression to represent the number of shoes Felicity owns. *
Answer:
F=5+M
F=5+4
Step-by-step explanation:
Do it for me, please
(5×28)+(2×23)+(3×3)
.................
f:f(x²+3)² is defined on the set R of real numbers. Find the gradient of f(x) at x = 2
Answer:
The gradient of the function at x = 2 is 56
Step-by-step explanation:
f : f(x² + 3)²
df / dx = 4x(x² +3)
At x = 2
df / dx (= gradient) = 4 x 2 x (2² + 3)
= 8 x (7)
= 56
A small bottle contains 2 cups of juice Do 5 small bottles of juice have a greater amount of juice than a 1 quart bottle juice ? Explain
Answer:
Yes
Step-by-step explanation:
There are 4 cups in a quart.
2 times 5 = 10
10>4
Yes, 5 small bottles of juice have a greater amount of juice than a one quart bottle juice
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then the value by multiplying the single value. Unitary method is a that by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Given that small bottle contains 2 cups of juice.
Here we have to find if 5 small bottles of juice have a greater amount of juice than a 1 quart bottle juice.
Since there are 4 cups in a quart.
2 x 5 = 10
10>4
Therefore, the answer is yes.
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If a secretary typed 10,800 words in 2 hours and 30 minutes, how many words per minute did she type? ( Hint: Change hours to minutes.) Please show your work.
Work Shown:
1 hour = 60 min
2 hours = 120 min (multiplied both sides by 2)
2 hours + 30 min = 120 min + 30 min = 150 min
speed = (number of words typed)/(time taken)
speed = (10800 words)/(150 min)
speed = (10800/150) words per minute
speed = 72 words per minute
Please help I will give brainliest
Answer:
145 yd.²
Step-by-step explanation:
Area of the Rectangle = 12 × 10 = 120 yd.
Area of the Triangle = (5 × 10)/2 = 25 yd.
120 yd.
+ 25 yd.
---------------
145 yd.²
A recipe needs ; tablespoon salt.
This same recipe is made 5 times.
How much total is needed?
Hi!
If a recipe needs 1 table spoon of salt, then for the recipe being made 5 times we multiply that by 5.
5 x 1 = 5
Hope that helps! :D
Write an equation that represents the line.
Use exact numbers.
Answer:
y=5/6x+8/3
Step-by-step explanation:
Let's use the slope-intercept form:
y=mx+b
m: slope
b: y-intercept
x and y: x and y coordinate pair
We start by finding the slope.
Slope = (y₂-y₁)/(x₂-x₁)
Slope = (6-1)/(4-(-2)) These are the two points on the line given to us
Slope = 5/6
Now we find the y-intercept:
y=5/6x+b
We can plug in one of the x and y coordinate pairs into the equation:
6=5/6(4)+b
6=10/3+b
b=8/3
Since we have the y-intercept and the slope, we can write the equation:
y=5/6x+8/3
Answer:
Step-by-step explanation:
( - 2 , 1 )
( 4 , 6 )
m = [tex]\frac{1-6}{-2-4}[/tex] = [tex]\frac{5}{6}[/tex]
y - 6 = [tex]\frac{5}{6}[/tex] ( x - 4 )
y = [tex]\frac{5}{6}[/tex] x - [tex]\frac{10}{3}[/tex] + 6
y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{8}{3}[/tex]
Review financial websites or publications and gather the following information for three company stocks:
• the industry each company operates in
• the current market price of the company's shares
• the share price exactly one year ago
• the capital gains/losses for investors in each stock for the past one year
Assuming that you bought one share of each stock exactly one year ago, and that the companies did not pay out dividends to investors. Use this
formula to calculate the rate of return on each stock for the past year:
annual rate of return = (current share price-share price a year ago)
100
The rate of return will be negative if the stock's current market price is less than what it was a year ago. Now, fill out the table below with the
information you gathered for each stock.
Answer:
(Left to right)
Company name, JC Penney Company Inc., Apple Inc., Ford Motor Company
Industry, retail, information technology, automobiles
Current share price ($), $9.09, $119.08, $15.66
Share price one year ago ($), $7.65, $105.11, $15.74
Annual capital gain/loss ($), $1.44, $13.97, -$0.08
Annual rate of return (%), 18.82%, 13.29%, -0.51%
The annual rate of return exists as the percentage difference in the value of an investment.
What is an annual rate of return?
The yearly rate of return exists estimated by considering the amount of money gained or lost at the back of the year and separating it from the initial investment at the start of the year. This approach exists also directed as the annual rate of return or the nominal annual rate.
The annual rate of return exists as the percentage difference in the value of an investment.
For instance: If you suppose you earn a 10% annual rate of return, then you exist considering that the value of your investment will rise by 10% every year.
Company name, JC Penney Company Inc., Apple Inc., Ford Motor Company
Industry, retail, information technology, automobiles
Current share price ($), $9.09, $119.08, $15.66
Share price one year ago ($), $7.65, $105.11, $15.74
Annual capital gain/loss ($), $1.44, $13.97, -$0.08
Annual rate of return (%), 18.82%, 13.29%, -0.51%
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Find the volume of the sphere shown below. Use 3.14 for
π
π. Round your answer to the nearest hundredth.
Benjamin is trying to find the height of a radio antenna on the roof of a local building.
He stands at a horizontal distance of 25 meters from the building. The angle of
elevation from his eyes to the roof (point A) is 28°, and the angle of elevation from
his eyes to the top of the antenna (point B) is 40°. If his eyes are 1.52 meters from
the ground, find the height of the antenna (the distance from point A to point B).
Round your answer to the nearest meter if necessary.
The height of the antenna on the roof of the local building is approximately 8 meters.
The situation forms a right angle triangle.
Properties of a right angle triangle:One of its angles is equals to 90 degreesThe sides of the triangles can be calculated using Pythagoras theorem.Therefore, let's find the height of the building and the radio antenna from the eye point.
Using trigonometric ratios,
tan 40° = opposite / adjacent
tan 40° = x / 25
where
x = the height of the building and the radio antenna from the eye point.
x = 25 tan 40
x = 25 × 0.83909963117
x = 20.9774907794 meters
Let's find the height of the building from his eye point.
tan 28° = y / 25
where
y = height of the building from his eye point
y = 25 × tan 28°
y = 25 × 0.53170943166
y = 13.2927357915 meters
Height of the antenna = 20.9774907794 - 13.2927357915 = 7.68475498786
Height of the antenna ≈ 8 meters
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What is the slope of the line shown in the
Answer:
2/4
Step-by-step explanation:
Which mathematical law or property is used to rewrite the following expression?
2+(4+6)=2+(6+4) Explain your answer.
Explanation:
This property is where we have A+B = B+A. In other words, adding two numbers can be done in any order. This can be extended to more than two values also.
So, 4+6 = 6+4 since both sides result in 10.
Overall it leads to 2+(4+6) = 2+(6+4) being a true equation as well. Both sides simplify to 12.
Jonah is thinking of a 2-digit number.it is a multiple of 6 and 12.it is a factor of 108.The sum of its digits is 9.What number is Jonah thinking of?
Answer:
36
Step-by-step explanation:
There are an infinite number of multiples of 6 and 12, so it is easier to first look at the factors of 108, specifically the 2 digit factors, and go from there. The 2-digits factors of 108 are 12, 18, 27, 36, and 54. The factors 18, 27, and 36 have digits whose sum is 9. However, only 36 is a multiple of both 6 and 12 (6*6=36 and 12*3=36). So, the number Jonah is thinking of must be 36.
4x10^6 is how many times as large as 1x10^4?
Answer:
400
Step-by-step explanation:
(4 × 10^6) / (1 × 10^4) =
= 4/1 × 10^6/10^4
= 4 × 10²
= 400
Answer: 400
Answer:
so the first one is 400,000
the second one is 10,000
try to subtract and if that doesn't help divide the two
Step-by-step explanation:
What is the volume of the rectangular prism?
-
1
3
3. m.
mm
8 mm
2
9 mm
21 mm
76.5 mm
80 mm
267 75 mm
Answer:
D.) 267.75mm squared
Step-by-step explanation:
3.5×9×8.5=267.75
1.How many times greater is the value of the 4 in 4,325 than the value
of the digit 4 in 2,456?
Select all that would translate 2x + 2 = 8 into words
Answer:
two times a number plus two is eight
Step-by-step explanation:
The answer is:
2 times a number x increased by 2 is 8Explanation:
Here are some ways that 2x + 2 = 8 could be translated into a verbal phrase.
First, notice that we have 2x. This alone can be written several different ways.
the product of 2 and a number x2 times a number x2 times xThen, + 2:
increased by 2plus 2That makes the following combinations:
the product of 2 times a number x increased by 22 times x plus 22 times a number x increased by 2the sum of 2 times a number and 2This equals 8.
In summary, there are several ways that 2x + 2 = 8 can be written in words.
Which congruence theorem proves the following triangle is congruent. (ASA, SSS, SAS or AAS)
Answer:
(d) AAS
Step-by-step explanation:
The vertical angles are congruent. The adjacent marked angles are congruent. And the side after that (working clockwise) is marked congruent. When you have congruent Angle, Angle, Side, the appropriate theorem to claim is the AAS theorem.
Becca wants to know, on average, how many people in her state drink coffee every day. How can Becca gather data in a way that gives both an accurate estimate, and is efficient?
A
Divide the state in half and randomly ask people from each half.
B
Divide the state up by city, and ask people from each city.
C
Ask every person in the entire state.
D
Randomly select people from the whole state to ask.
Becca can gather data by dividing the state in half and randomly asking people from each half. This method is known as stratified random sampling.
What is Stratified random sampling?
Stratified random sampling is a sampling technique in which a large population can be divided into strata or subgroups from which data are being randomly chosen.
From the information given:
Becca wants to use the best way to get accurate and efficient information on average, how many people in her state drink coffee every day.To do this since she's dealing with a large population, she needs to gather data by dividing the state in half and randomly asking people from each half.
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