f. At Cleveland Middle School, 400 students come by bus and 300 walk or bike. Would you say it is more common for Cleveland students to ride the bus to school than for Pearson students? Explain your reasoning.​

Answers

Answer 1

Answer:

For cleveland Middle school we know that more students come by bus to school than bike or walking


Related Questions

create a circle with a centre of (0,0) and a radius of 13

Answers

Answer:

The equation would be:

[tex]x^2+y^2=169[/tex]

In the attachment!!!

Hope this helps!!!

[tex]Sofia[/tex]

what is the similarity ratio of the smaller to the larger cones?

Answers

Answer:

that the are both have a right angle. And that the are both cones.

Step-by-step explanation:

Answer:

3 : 5

Step-by-step explanation:

The ratio can be determined using the radii or the heights of the 2 cones

radii  6 : 10 = 3 : 5 ← in simplest form

height 9 : 15 = 3 : 5 ← in simplest form

find the range of the following data set 31,31,22,28,23​

Answers

Answer:

9

Step-by-step explanation:

since 2 is the minimum and 31 is the maximum you subtract 31 by 22

To find the range of the given data set, follow these steps:
1. Identify the maximum value in the data set.
2. Identify the minimum value in the data set.
3. Subtract the minimum value from the maximum value.
Let's apply these steps to the provided data set:
Data set: 31, 31, 22, 28, 23
Step 1: Find the maximum value.
Looking at the numbers, the maximum value is 31. (Both occurrences of 31 are considered, but since they are the same, the maximum is still 31.)
Step 2: Find the minimum value.
Looking at the numbers, the minimum value is 22.
Step 3: Calculate the range.
Subtract the minimum value from the maximum value: 31 - 22 = 9.
Hence, the range of the given data set is 9.

Find the circumference if radius =26

Answers

Circumference can be found using [tex]C=2\pi r[/tex] formula. Where [tex]r[/tex] is radius.

Now we just put in the data.

[tex]C=2\pi\times26=52\pi\approx\boxed{163.36}[/tex]

If the radius is 26, firstly we have to calculate the diameter. The diameter is 2 times the radius.

Radius = 26

Diameter = 26 × 2 = 52

Circumference of circle = π × Diameter

= π × 52

= 163.3628 or 163.4 (to 1 dp)

A total of 800 pre-sale tickets and tickets at the gate were sold to the football city championship game. if the number of tickets sold at the gate was thirteen less then twice the number of pre-sale tickets, how many pre-sale tickets were sold?​

Answers

ANSWER

271 pre-sale tickets were sold.

EXPLANATION

Let p represent the number of pre-sale tickets and t represent the number of tickets sold.

According to the question,a total of 800 pre-sale tickets and tickets were sold .

This implies that,

[tex]p + t = 800[/tex]

Also the number of tickets sold is 13 less than twice the number of pre-sale tickets.

This gives another equation:

[tex]t = 2p - 13[/tex]

We substitute, the second equation into the first equation to obtain:

[tex]p + 2p - 13 = 800[/tex]

This implies that;

[tex]3p = 813[/tex]

Divide both sides by 3

[tex]p = \frac{813}{3} = 271[/tex]

Hence 271 pre-sale tickets were sold.

By setting up an algebraic equation and denoting pre-sale tickets as x, we discover that 271 pre-sale tickets were sold for the football city championship game.

To solve the problem of how many pre-sale tickets were sold for the football city championship game, we can set up an algebraic equation. Let's denote the number of pre-sale tickets as x. According to the question, the number of tickets sold at the gate is thirteen less than twice the number of pre-sale tickets, which we can express as 2x - 13. We are given that the total number of tickets sold is 800.

So, we set up the equation:

x + (2x - 13) = 800

Combining like terms, we get:

3x - 13 = 800

Adding 13 to both sides:

3x = 813

Then we divide both sides by 3 to find the value of x:

x = 813 / 3

x = 271

Therefore, 271 pre-sale tickets were sold.

Algebra manipulation. Thank you! My answer is - 8/5 but I want to make sure :)

Answers

Start with

[tex]\dfrac{2a+3b}{a+b}=7[/tex]

Assuming [tex]a\neq -b[/tex], multiply both sides by [tex]a+b[/tex]

[tex]2a+3b = 7a+7b[/tex]

Solve for [tex]a[/tex]

[tex]5a = -4b \iff a = -\dfrac{4b}{5}[/tex]

Substitute this value for [tex]a[/tex] in the desired expression:

[tex]\dfrac{2a}{b} = \dfrac{\frac{-8b}{5}}{b} = -\dfrac{8}{5}[/tex]

You were correct! :)

a, a +4,a+8,...
write the nth term of sequence in terms of the first term of the sequence​

Answers

Final answer:

The nth term of the sequence can be found using the formula Tn = a + 4(n - 1), where a is the first term and n is the term position. This is based on the characteristics of an arithmetic sequence.

Explanation:

This pattern indicates that the sequence is an arithmetic sequence, where each term is obtained by adding a constant difference to the preceding term.

To find the nth term of an arithmetic sequence, we use the formula:

Tn = a + (n - 1)d

Where Tn is the nth term, a is the first term, n is the position of the term in the sequence, and d is the common difference between terms. For this sequence, d = 4.

Substituting the known values into the formula gives us:

Tn = a + 4(n - 1)

This expression allows us to calculate the nth term of the sequence given the first term (a) and the position (n) of the term we want to find.

Write -1/14,7/9,-4/5 in order from least to greatest

Answers

7/9 is going to be the greatest since it is the only positive number and the. it’s going to be -4/5 and then the least is going to be -1/14.

-1/14 , -4/5 , 7/9

Final answer:

The numbers -1/14, 7/9, -4/5 arranged from least to greatest are -4/5, -1/14, 7/9. This is found by converting fractions to decimals for easier comparison and then arranging them in order.

Explanation:

To go about solving this, we first consider each number's location on the number line. The numbers closer to the left are smaller than those on the right. Given the numbers -1/14, 7/9, and -4/5, we can start by converting each fraction to a decimal for easier comparison.

-1/14 equals approximately -0.0714, 7/9 equals approximately 0.7777, and -4/5 equals -0.8. Therefore, from smallest to largest, these numbers can be arranged as -0.8, -0.0714, 0.7777. Converting these back to fractions gives us the desired result: -4/5, -1/14, 7/9.

Learn more about Ordering Fractions here:

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simplify please. i'm failing and grade cost 4 summitives.
|-10|+|5|

A)-15
B)-5
C)5
D)15

Answers

Answer:

D = 15

Step-by-step explanation:

|-10|+|5|=10+5=15

|-10|=10

|5|=5

Answer:

D)15

Step-by-step explanation:

| | these cancel out the negative in the ten making it a positive

so it would be 10+5

which is 15

Help me with these 2 problems

Answers

Answer:

Part a) The width of parking lot is 87m.

Part b) The length of rectangular pool is 94 m

Step-by-step explanation:

a) The area of parking lot Area= 8439 m^2

Length of Parking Lot = Length = 97 m

Width of Parking Lot = Width= ?

Area of rectangle = Length * Width

Putting the values,and finding width,

8439 = 97 * Width

=> Width = 8439/97

=> Width = 87 m

So, The width of parking lot is 87m.

b) Perimeter of rectangular pool = Perimeter= 344 m

Width of rectangular pool = Width = 78 m

Length of rectangular pool = Length = ?

The formula for perimeter is:

Perimeter = 2*(Length + Width)

Putting values in the formula:

344 = 2*(Length + 78)

344/2 = Length + 78

172 = Length + 78

=> Length = 172 - 78

Length = 94 m

So, the length of rectangular pool is 94 m.

Common multiples of 15 20 45

Answers

Answer:

15: 15, 30, 45, 60, 75, 90, 105, 120, 135...etc, 20: 20, 40, 60, 80, 100, 120, 140...etc, 45: 45, 90, 135, 180, 225, 270....etc

Common Multiples: Is 180, Because all of them have a multiple of 180.

Step-by-step explanation:

Hope i helped you. :)

Answer:

15:

20:

45:

hope this helps

What is the product of 2x + y and 5x – y + 3?

Answers

Answer:

The correct answer is 10x² + 3xy + 6x - y² + 3y

Step-by-step explanation:

It is given an expression (2x + y)(5x - y + 3)

To find the product

(2x + y)(5x - y + 3) = 2x * 5x  - 2x*y + 2x*3 + y*5x -y² + 3y

 = 10x² - 2xy + 6x + 5xy - y² + 3y

 = 10x² + 3xy + 6x - y² + 3y

Therefore the correct answer is

10x² + 3xy + 6x - y² + 3y

Final answer:

The product of (2x + y) and (5x – y + 3) is found by using the distributive property of multiplication over addition, which gives us: 10x^2 + 3xy + 6x - y^2 + 3y.

Explanation:

To find the product of (2x + y) and (5x – y + 3), we need to use the distributive property of multiplication over addition. This involves multiplying each term within the first parentheses by each term in the second parentheses.

The steps are as follows:

Multiply 2x by each term in the second parentheses: (2x*5x, 2x*-y, 2x*3)Multiply y by each term in the second parentheses: (y*5x, y*-y, y*3)Sum up all the products obtained.

The result is 10x^2 -2xy + 6x + 5xy - y^2 + 3y. Simplifying further gives us: 10x^2 + 3xy + 6x - y^2 + 3y.

So, the product of (2x + y) and (5x – y + 3) is 10x^2 + 3xy + 6x - y^2 + 3y.

Learn more about Multiplication of Polynomials here:

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Two-thirds of a number plus 5 is greater than 12. Find the number

Answers

Answer:

n >10.5

Step-by-step explanation:

Let n be our number

2/3 n+5 >12

Subtract 5 from each side

2/3 n +5-5 >12 -5

2/3 n >7

Multiply each side by 3/2 to isolate n

3/2*2/3n > 7 *3/2

n > 21/2

n >10.5

Answer:12

Step-by-step explanation: 12x2/3=8

8+5=13 GG

Write an equation for the following points:

(1, 25) (2, 5) (3, 1)

Answers

Answer:

Use desmos.com/calculator. It is a graphing calculator that can do many things

Step-by-step explanation:

say thanks and vote

Please help will give brainliest

Answers

Answer:

This relation is a function because a function, in fact this is a linear function. We have that:

[tex]\left[\begin{array}{cc}x & y\\2 & 3\\4 & 4\\6 & 5\\8 & 6\end{array}\right][/tex]

As you can see below, all the points have been plotted an this is a linear function. Therefore, with two points we can get the equation, so:

[tex]The \ equation \ of \ the \ line \ with \ slope \ m \\ passing \ through \ the \ point \ (x_{1},y_{1}) \ is:\\ \\ y-y_{1}=m(x-x_{1}) \\ \\ \\ y-3=\frac{4-3}{4-2}(x-2) \\ \\ \\ y-3=\frac{1}{2}(x-2) \\ \\ y=\frac{1}{2}x-1+3 \\ \\ y=\frac{1}{2}x+2 \\ \\ \\ Where: \\ \\ (x_{1},y_{1})=(2,3) \\ \\ (x_{2},y_{2})=(4,4)[/tex]

Finally, the equation is:

[tex]\boxed{y=\frac{1}{2}x+2}[/tex]

Answer:

y=0.5x +2

Step-by-step explanation:

I NEED HELP WHAT IS 100,00 X 100,00

Answers

  10,000

x 10,000

________

100,000,000

Answer:

100,000,000

Step-by-step explanation:

determine if -1, 1, 4, 8 is a geometric sequence

Answers

ANSWER

No, because there is no common ratio

EXPLANATION

The given sequence is

-1, 1, 4, 8

If this sequence is geometric, then there should be a common ratio among the consecutive terms.

[tex] \frac{1}{ - 1} \ne \frac{4}{1} \ne \frac{8}{4} [/tex]

Hence the sequence

-1, 1, 4, 8

is not a geometric sequence.

Answer:

The sequence is not a geometric sequence

Step-by-step explanation:

In a geometric sequence you find the following term multiplying the current by a fixed quantity called the common ratio.

To prove if a sequence is geometric we need to check if the ratio is consistent across the sequence. To check for the ratio we use the formula:

[tex]r=\frac{a_n}{a_{n-1}}[/tex]

were

[tex]r[/tex] is the ratio

[tex]a_n[/tex] is the current term  

[tex]a_{n-1}[/tex] is the previous term

Let's star with 1, so [tex]a_n=1[/tex] and [tex]a_{n-1}=-1[/tex]

[tex]r=\frac{a_n}{a_{n-1}}[/tex]

[tex]r=\frac{1}{-1}[/tex]

[tex]r=-1[/tex].

Now let's check 4 and 1, so [tex]a_n=4[/tex] and [tex]a_{n-1}=1[/tex]

[tex]r=\frac{a_n}{a_{n-1}}[/tex]

[tex]r=\frac{4}{1}[/tex]

[tex]r=4[/tex]

Since the ratios between two pair of numbers are different, we can conclude that the sequence is not geometric.

what is the surface area of the right cylinder with a height of 20 and a radius of 5

Answers

Answer: The answer is 785.4

Step-by-step explanation: Equation is 2πrh+2πr²

Plug in your numbers and hit enter!

Hope this helps

For this case we have by definition, that the surface area of a cylinder is given by:

[tex]SA = 2 \pi * r * h + 2 \pi * r ^ 2[/tex]

Where:

A: It's the radio

h: It's the height

According to the given data we have:

[tex]SA = 2 \pi * (5) * 20 + 2 \pi * (5) ^ 2\\SA = 200 \pi + 50 \pi\\SA = 250 \pi\\SA = 785 \ units ^ 2[/tex]

ANswer:

[tex]785 \ units ^ 2[/tex]

Name two three dimensional figures that produce a square when sliced horizontally by a plane

Answers

Answer:

A rectangular prism and a cube.

Step-by-step explanation:

A rectangular prism when sliced by a plane can have a square facing up, meaning that a square will be produced. A cube has all square faces and when cut horizontally will produce a square.

If
q
(
x
)
is a linear function, where
q
(

1
)
=
3
, and
q
(
3
)
=
5
, determine the slope-intercept equation for
q
(
x
)
, then find q(2).

The equation of the line is:

q(2) =


If
t
(
x
)
is a linear function, where
t
(

4
)
=
3
, and
t
(
4
)
=
4
, determine the slope-intercept equation for
t
(
x
)
, then find t(0).

The equation of the line is:

t(0) =

Answers

Answer:

[tex]\large\boxed{Q1.\ q(x)=\dfrac{1}{2}x+\dfrac{7}{2},\ q(2)=\dfrac{9}{2}}\\\boxed{Q2.\ t(x)=\dfrac{1}{2}x+\dfrac{7}{2},\ t(0)=\dfrac{7}{2}}[/tex]

Step-by-step explanation:

[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have}\\\\q(-1)=3\to(-1,\ 3)\\q(3)=5\to(3,\ 5)[/tex]

[tex]\text{Calculate the slope:}\\\\m=\dfrac{5-3}{3-(-1)}=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}\\\\\text{We have the equation:}\\\\y=\dfrac{1}{2}x+b\\\\\text{Put the coordinates of the point (-1, 3) to the equation:}\\\\3=\dfrac{1}{2}(-1)+b\\\\3=-\dfrac{1}{2}+b\qquad\text{add}\ \dfrac{1}{2}\ \text{to both sides}\\\\3\dfrac{1}{2}=b\to b=3\dfrac{1}{2}=\dfrac{7}{2}[/tex]

[tex]q(x)=\dfrac{1}{2}x+\dfrac{7}{2}\\\\q(2)-\text{put x = 2 to the equation:}\\\\q(2)=\dfrac{1}{2}(2)+\dfrac{7}{2}=\dfrac{2}{2}+\dfrac{7}{2}=\dfrac{9}{2}[/tex]

[tex]t(-4)=3\to(-4,\ 3)\\t(4)=4\to(4,\ 4)\\\\m=\dfrac{4-3}{4-(-4)}=\dfrac{1}{8}\\\\y=\dfrac{1}{8}x+b\\\\\text{put the coordinates of the point (4,\ 4):}\\\\4=\dfrac{1}{8}(4)+b\\\\4=\dfrac{1}{2}+b\qquad\text{subtract}\ \dfrac{1}{2}\ \text{from both sides}\\\\3\dfrac{1}{2}=b\to b=3\dfrac{1}{2}=\dfrac{7}{2}\\\\t(x)=\dfrac{1}{2}x+\dfrac{7}{2}\\\\t(0)=\dfrac{1}{2}(0)+\dfrac{7}{2}=0+\dfrac{7}{2}=\dfrac{7}{2}[/tex]

A multiple choice test has 5 possible answers. Find the probability of answering all the questions correctly

Answers

The answer is 1/5

Step-by-step explanation:

You have the probability of getting 1/5 correct.

For this case, we have by definition, the calculation of probabilities:

[tex]probability = \frac {number\ of \favorable\ cases} {number\ of\ possible\ cases}[/tex]

We have 5 possible answers, and we have only one favorable case, that is, only one correct option among the 5 possible answers.

So, we have:

[tex]Probability = \frac {1} {5} = 0.2[/tex]

Answer:

0.2

!!!please help!!!

The diagram below shows the dimensions of Tessa’s garden.

A) What is the perimeter, in feet, of Tessa’s garden? Show or explain all your work.

B) What is the area, in square feet, of Tessa’s garden? Show it explain all your work.

C) Tessa decoded that she liked the shape of her garden but wanted to have 2 times the area. She drew a design for a garden with every dimension multiplied by 2. Explain the error in Tessa’s design.

Answers

Perimeter =525.66 ft

Area = 10913.27 ft2

See photo

what is the x-coordinate of the solution​

Answers

Answer:

x=-4

Step-by-step explanation:

An online ticket seller charges $44 for each ticket ton concert, plus a fixed handling fee of $12. Define the unknown variables and write an equation to model the situation.

Answers

Answer:

x= number of tickets bought

y= total

44x+12=y

A system of two equations has no solution. One equation is -15x+y=18.

Select the equation that would make this system infinitely many solutions.

A) 3y-45x=54
B)3y+45x=54
C)45x+3y=-54
D)45x-3y=54

Answers

A.

If you multiply the original equation by 3 you get -45x+3y=54, which is the exact same as A, therefore they have infinite solutions.

what is the y-coordinate of the image of P(3,-4) after a reflection in the x-axis?

Answers

Answer:

[tex]\boxed{4}[/tex]

Step-by-step explanation:

When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign.

Thus,  the y-coordinate becomes [tex]\boxed{\textbf{4}}[/tex].

3/4 of Melissa's friends babysit for extra money. 2/3 of her friends babysit and pet sit. What fraction of those who babysit also pet sit?


A) 1/2

B) 1/4

C) 12/17

D) 8/9

Answers

Do 3/4 of 2/3

Turn the demoninator into 12 so:

9/12 8/12 so I’m guessing C

Answer:  The correct option is (D) [tex]\dfrac{8}{9}.[/tex]

Step-by-step explanation:  Given that [tex]\dfrac{3}{4}[/tex] of Melissa's friends babysit for extra money and [tex]\dfrac{2}{3}[/tex] of her friends babysit and pet sit.

We are to find the fraction of her friends those who babysits also pet sits.

Total fraction of Melissa's friends is given by

[tex]F=\dfrac{3}{4}.[/tex]

Therefore, the fraction of her friends those who babysits also pet sits is given by

[tex]f=\dfrac{\frac{2}{3}}{\frac{3}{4}}=\dfrac{2}{3}\times\dfrac{4}{3}=\dfrac{8}{9}.[/tex]

Thus, the required fraction is [tex]\dfrac{8}{9}.[/tex]

Option (D) is CORRECT.

Select the correct answer. Which inequality is true? A. |-5| > |-7| B. |-8| < |-5| C. |9| < |7| D. |-9| > |8|

Answers

Final answer:

To determine which inequality is true, compare the absolute values of the given numbers. The correct answer is B, |-8| < |-5|.

Explanation:

To determine which inequality is true, we need to compare the absolute values of the given numbers. Absolute value is the distance of a number from zero on the number line. In this case:

A. |-5| is greater than |-7|, so |-5| > |-7| is true.B. |-8| is less than |-5|, so |-8| < |-5| is true.C. |9| is not less than |7|, so |9| < |7| is false.D. |-9| is greater than |8|, so |-9| > |8| is true.

Therefore, the correct answer is B, |-8| < |-5|.

graph the function f(x) = cos(2x) +1

Answers

The graph of the function f(x) = cos(2x) + 1 is added as an attachment

Sketching the graph of the function

From the question, we have the following parameters that can be used in our computation:

f(x) = cos(2x) + 1

The above function is a cosine function that has been transformed as follows

Horizontally stretched by a factor of 1/2Shifted up by 1 unit

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

Lines
m
and
n
are parallel. The equation of line m is =3+3
y
=
3
x
+
3
. What is the equation of line
n
?

Answers

Answer:

y = 3x + b

Step-by-step explanation:

Parallel lines have the same slope.

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation of the line m:

[tex]m:\ y=3x+3\to m=3[/tex]

Therefore the equation of a line n parallel to the line m is:

[tex]y=3x+b[/tex]

where b is any real number

Answer y = 3x + b

Step-by-step explanation:

Other Questions
Which of the following statements are true regarding olfaction? Check all that apply. a)Smell is a chemical sense. b)Odorant molecules dissolve in mucus before stimulating a receptor. c)Humans can only distinguish up to 200 odors. d)Olfactory receptors have hairs on the apical surface that respond to stimuli. e)When olfactory receptors are stimulated a receptor potential is created. The Anti-Saloon League was a group that supported __________. A. prohibition B. racism C. gender discrimination D. poverty 1960 $4,9951970 $8,6261980 $15,9701990 $31,3672000 $41,8072010 $55,202Determine the average mean salary for the six decades, 1960 2010. Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tube of paint costs $8.50. Assume that x represents the number of tubes of paint Catherine can buyThe inequality that represents this scenario is1. 8.5x +20>542. 8.5x-20 Describe how to find the measurement of angle L using the measurement of angle C. Chelsea had $71.18 she bought a new pair of glasses for $59.95 can she buy a case that costs $12.95 Carlos wrote a check for $44.92 to pay his gas bill. Hell use the check register to record his transaction. What will be his new balance? $345.09 $370.09 $434.93 $459.93 True or false? according to public health news article "lead poisoning strikes another town" lead poisoning is equally harmful to everyone; however, it has devastating impacts on young children. How did the Magna Carta further the development of the rule of law?It replaced Ye Olde Rule of Law in England.It granted special rights to the sovereign.It gave King John a place in history.It made the sovereign subject to law. What caused the civil war? Annabelle is writing a literary analysis essay. Which of the following points should she keep in mind as she writes?Include personal opinions.Write in the present tense.Use figurative language.Write in third person.Avoid using text citations. what is the equation of the graphed line written in standard form?x-4y=4. x+4y=4. y=1/4x-1. y=-1/4x-1 2. Who was a famous Anti-Federalist? A. John Adams B. Alexander Hamilton C. Thomas Jefferson D. Benjamin Franklin Hello, my teacher asked me to write a paragraph about life. Here's what I got. "You don't know where life will take you." I need help What is the function of the Golgi apparatus? Match the definitions to the terms: Terms: Hypotonic SolutionIsotonic SolutionHypertonic SolutionDiffusionFacilitative DiffusionActive TransportPassive TransportConcentration GradientEquilibriumOsmosisDefinitions: 1.Movement of material across the cell membrane with energy2.The environment outside of the cell has a lower concentration of dissolved material than the inside of the cell. This causes the cell to swell, and it may even burst.3.A difference in the concentration of a substance across a distance4.Movement of material across the cell membrane without energy5.The environment outside of the cell has more dissolved material than inside of the cell. If a cell is placed in a this type of solution, water will leave the cell. This can cause a cell to shrink and shrivel (crenation).6.The movement of particles from regions of higher density to lower density regions7.Diffusion of water across a selectively permeable membrane8.Concentration of a substance is the same throughout a space9.A solution in which the amount of dissolved material is equal both inside and outside of the cell. Water still flows in both directions, but an equal amount enters and leaves the cell.10.The movement of large molecules through a membrane protein channel along the concentration gradient. All of the planets in Earth's solar system must follow the same plane of motion. What's this plane called? A. Plane of the ecliptic B. Plane of spherical motion C. Plane of triangulation D. Plane of orbital rotation Consider a beam of electrons in a vacuum, passing through a very narrow slit of width 2.00m. The electrons then head toward an array of detectors a distance 1.068 m away. These detectors indicate a diffraction pattern, with a broad maximum of electron intensity (i.e., the number of electrons received in a certain area over a certain period of time) with minima of electron intensity on either side, spaced 0.527 cm from the center of the pattern. What is the wavelength of one of the electrons in this beam? Recall that the location of the first intensity minima in a single slit diffraction pattern for light is y=L/a, where L is the distance to the screen (detector) and a is the width of the slit. The derivation of this formula was based entirely upon the wave nature of light, so by de Broglie's hypothesis it will also apply to the case of electron waves. What did Washington territory have to do to become a state What is the concentration of hydrogen ions commonly expressed as