What is the major determinant of the permeability of a membrane to a specific ion?

Answer:

I think the answer is 2.

Step-by-step explanation:

I think 2 would be the median because there are 5 numbers including zero, so the middle number would be 2.

Hope this was helpful!!! Brainliest would be greatly appreciated!!!!

Answer:

function is linear and decreasing

Step-by-step explanation:

as shown in the graph between points (4,0) and (6,0)

Answer:

the answer will be the second one or B

hope its helps

Answer:

 y = -x -1

Step-by-step explanation:

The x- and y-coordinates will be the same for the parallel line, so we only need to find the constant that needs to replace the +8 in the given equation.

 y = mx +b

 y = -x +b . . . . . with the coefficient of x filled in

 -4 = -(3) +b . . . with the given point filled in

 b = -1 . . . . .add 3 to both sides

The equation is ...

 y = -x -1

Answer: $362.50.

8.5 x 25 = 212.5,

212.5 + 150.0 = 362.50

Very simple, I hope this helps!

Answer:

Prove the following identitics: tan 0 + cot 0 = I/(sin 0 cos 0) 0 + tan 0 sec 0 = cosec 0 'sec? 0. 18 cosec = cosec? 0 = tan? 0 cot2 19 sec? 0 sin ' 0 =cos? 0 'sin? 20 cos4 (sec 0 + tan 0) (sec 0 _ tan 0) = 1 2 sin? 0 = cOs? 0 _ 'sin? 0. 22 2 cos? 0_I=1 23 sec? 0 + cosec 0 = sec? 0 cosec? sin? , COs? 24 sec" 0 cosec" 0 = cos 0 sin" 0 25 =I tan 0 + 1 cot? 0 +4 26 (sec? 0 1) (cosec? 0 1) = [ 27 ((sec? 0 _0)+ V(cosec" 0 _ !) = sec € cosec 0 28 (sec? tan? 0) + V(cosec? 0 ~ cot? 0) = 2 cos? 0 29 =1 sin sec? 0 _ 1 sec 0 cosec 0 tan 0 + cot 0 30 tan 0 cot 0 sec 0 + cosec 0 cos 0 sin 0 31 =l V( + tan? 0) V( + cot? 0) Eliminate 0 from the following equations: 32 x = 4 cos 0, y = b sin 0. 33 x = 4 cot 0,y = b cosec 0. 34 x=a tan 0,y =b cos 0. 35 x = ] sin 0, y = [ + cos 0, 36 x =a sec 0,y = b +c cos 0. 37 x=a cosec 0, y = b sec 0. 38 X=l+ tan 0,y = cos 0. 39 x=sin 0 + cos 0,y = sin 0 40 cos X = sCc 0 + tan 0, y = sCc 0 ~ tan 0.

The equation of the line perpendicular to the line 3x - 6y = - 8 is y = - 2x - 15 and of line parallel to the line 3x - 6y = - 8 is y = x/2.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is a line 3x - 6y = - 8.

We have -

3x - 6y = - 8

3x = 6y - 8

6y = 3x - 8

y = x/2 - 4/3

For a parallel line -

slope = 1/2

y = x/2 + c

for the point (- 6, - 3), we can write -

-3 = -6/2 + c

-3 = -3 + c

c = 0

Equation : y = x/2

For a perpendicular line -

y = - 2x + c

for the point (- 6, - 3)

- 3 = - 2 x - 6 + c

- 3 = 12 + c

c = - 15

Equation : y = - 2x - 15

Therefore, the equation of the line perpendicular to the line 3x - 6y = - 8 is y = - 2x - 15 and of line parallel to the line 3x - 6y = - 8 is y = x/2.

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The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.

Given that the expenses on petrol be R4850.00 at the end of September, balance is R 106360.00, usage on income of salaries be 25%, on electricity,rates and taxes be 11%, 42% of the remaining on insurance and investments.

We are required to find the total income and expenditure in September.

Generally the equation for insurance is mathematically given as :

Insurance=42% of the balance

Insurance=0.42*0.64A

Insurance=0.2688A.

Generally the equation for the total after all the other expenditures is mathematically given as:

Total expenditure after all other expenditures=0.64A-0.2688A

Total expenditures after all other expenditures=0.3712A.

Total expenditures after all other expenditures is as 111210 (106360+4850)

Equating both the equation and value:

111210=3712A

A=299596

The total income is 299596.

Therefore the calculation of expense is given as:

Expense=0.25A+0.11A+0.2688A+4850

Expense=0.6288A+4850

=0.6288*299596+4850

=193236

The expense is 193236.

Hence the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.

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The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.

We have to find the total income and expenditure in September.

The equation for insurance is mathematically given as :

Insurance = 42% of the balance

Insurance=0.42*0.64A

Insurance=0.2688A.

Total expenditure after all other expenditures = 0.64A-0.2688A

Total expenditures after all other expenditures = 0.3712A.

Total expenditures after all other expenditures is as 111210 (106360 +4850)

Equating both the equation and value:

111210 = 3712 A

A = 299596

Thus The total income is 299596.

Therefore the calculation of expense is given as:

Expense=0.25A+0.11A+0.2688A+4850

Expense=0.6288A+4850

=0.6288*299596+4850

=193236

The expense is 193236.

Hence, the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.

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Answer:

D. Point Y should be 8 inches from point A

Step-by-step explanation:

The value of the smaller number (x) is approximately 6.67 (rounded to two decimal places).

To solve this problem, let's call the smaller number x and the larger number y.
According to the given information, the sum of the two numbers is 20, so we can write the equation: x + y = 20.
It is also given that one of the numbers (y) is twice the other number (x).

In equation form, we can write: y = 2x.

To find the value of the smaller number (x), we can substitute the value of y from the second equation into the first equation:
x + 2x = 20
Combining like terms, we get:
3x = 20
Dividing both sides by 3, we find:
x = 20/3
So, the value of the smaller number (x) is approximately 6.67 (rounded to two decimal places).

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Answer:

8 in^2.

Step-by-step explanation:

F = P * A

22 = 2.75 * A

A = 22/ 2.75

A = 8 in^2.

The area of the membrane in square inches is given as 8 in^2.

We are given that the force on the membrane is 22 pounds and the pressure is 2.75 pounds per square inch.

We know that the formula for force is F = P * A, where F is the force, P is the pressure, and A is the area.

Solving for A, we get A = F / P.

Plugging in the values for F and P, we get A = 22 / 2.75 = 8 square inches.

In other words, the area of the membrane is 8 square inches. This is consistent with the output of the Python code, which also calculated the area to be 8 square inches.

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Answer:

Step-by-step explanation:

f(x) = 6(1 - x)

To find f(-8) substitute the value of x that's - 8 into f(x) that is for every x in f (x) replace it with - 8

We have

f(-8) = 6( 1 - 8)

= 6(-7)

We have the final answer as

Hope this helps you

Answer:f(-8) = - 42

Step-by-step explanation:

Answer:

(2.405,1.357)

Step-by-step explanation:

(2.405,1.357)

To find the minimum value of the total surface area of a solid cuboid formed by merging 5150 cubes with side length 1, we can use the formula for the surface area of a cuboid.

Let's assume the length, width, and height of the cuboid formed by merging 5150 cubes are represented by L, W, and H, respectively. Since each cube has a side length of 1, the number of cubes on one face of the cuboid is equal to L * W, which should be equal to 5150.

To find the minimum value of the total surface area, we need to minimize the sum of the individual areas of each face. The formula for the surface area of a cuboid is given by:

Surface Area = 2(LW + LH + WH)

By substituting LW = 5150, we can express the surface area as:

Surface Area = 2(5150 + LH + WH)

We want to minimize the surface area, so we need to find the values of L, W, and H that minimize this expression. Since the number of cubes is fixed at 5150, we can find the dimensions of the cuboid by finding the factors of 5150. We need to find the factor pair (L, W) that results in the smallest sum of L and W.

Once we determine L, W, and H, we can calculate the surface area using the formula and find the minimum value among the different configurations of the cuboid.

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Answer:

The total value of the account after 3 years will be $5,503.52.

Step-by-step explanation:

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Tyler's bank account pays a straightforward yearly financing cost of 3.25%. Assume he stores $5,000 in the record and sets aside no extra installments or withdrawals for a long time.

The total value of the account after 3 years will be calculated as,

A = $5,000(1 + 0.0325)³

A = $5,000 x (1.0325)³

A = $5,000 x 1.1007

A = $5,503.52

The total value of the account after 3 years will be $5,503.52.

Answer:

\(\frac{1}{4}\) (t + 9) ≤ 9

Step-by-step explanation:

One-fourth multiplied by sum of t and 9 is at most 9

One-fourth \(\frac{1}{4}\)

sum of t and 9 = t + 9

at most 9 = ≤ 9

In public opinion polling, a sample as small as about 1,500 people can faithfully represent the "universe" of Americans.

The size of a sample needed for accurate representation of a larger population, known as the "universe," depends on several factors, including the desired level of confidence and margin of error. While larger sample sizes generally provide more precise estimates, they also require more resources and time. Statistically, a sample size of around 1,500 is often considered sufficient for accurately representing the opinions and characteristics of the larger American population.

The principle behind this is known as the "law of large numbers" and the "central limit theorem." These statistical concepts suggest that as the sample size increases, the sample's distribution becomes closer to the population's distribution. By using appropriate sampling techniques, such as random sampling, stratified sampling, or quota sampling, pollsters aim to select a diverse and representative subset of the population. Through statistical analysis, they can estimate the views and preferences of the larger population based on the responses collected from the sample. A well-designed and properly conducted survey with a sample size of around 1,500 individuals can provide reliable insights into the opinions and attitudes of Americans as a whole.

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Answer:

Step-by-step explanation:

No you are correct. That's the correct end result. Technically you should start with

Area = s^2

Area = 64 ft^2

s^2 = 64

sqrt(s^2) = sqrt(64)

s = 8

s = - 8 has no meaning.

Your way is fine.

The journal entry to record indirect labor consists of A. Debit Factory Overhead $ 5, 700, credit Factory Wages Payable $ 5, 700.

Indirect labor charges, like those for factory supervisors or maintenance crew, cannot be exclusively attributed to a given product or job.

Instead, they are typically allotted to all jobs depending on predetermined rates/bases in job order costing, by debiting a Factory Overhead account and crediting an accounting option such as Factory Wages Payable or Accrued Wages Payable.

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Answer:

Step-by-step explanation:

p=x(1-15/100)

p=x(100-15)/100

p=x(85/100)

p=0.85x

The volume of the solid obtained by means of rotating the region bounded through the curves y = x^2 - 6x - 7 and y = 0 about the x-axis is approximately 1796.4 cubic units.

To find the volume of the solid obtained through rotating the region bounded via the curves y = x^2 - 6x - 7 and y = 0 about the x-axis, we can use the disk method.

First, we need to discover the bounds of integration. We set y = 0 to find the x-values in which the curves intersect:

x^2 - 6x - 7 = 0

solving for x, we get:

x = 7 or x = -1

Considering we only want to discover the extent of the region between x = -1 and x = 7, these could be our limits of integration.

Now we can set up the fundamentals:

\(V = π∫[-1,7] (x^2 - 6x - 7)^2 dx\)

Simplifying the integrand:

\(V = π∫[-1,7] (x^4 - 12x^3 + 49x^2 - 84x + 49) dx\)

Integrating time period through term, we get:

\(V = π[(1/5)x^5 - 3x^4 + (49/3)x^3 - 42x^2 + 49x]∣[-1,7]\)

\(V = π[(1/5)(7^5 + 1) - 3(7^4 + 1) + (49/3)(7^3 + 1)- 42(7^2 + 1) + 49(7 + 1/5) -((1/5)(-1^5 +1)-3(-1^4+ 1) + (49/3)(-1^3+3) - 42(-1^2 + 1) + 49(-1))]\)

V ≈ 1796.4

Therefore, the extent of the solid obtained by means of rotating the region bounded through the curves y = x^2 - 6x - 7 and y = 0 about the x-axis is approximately 1796.4 cubic units.

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Answer:

8

Step-by-step explanation:

You know that 65+9x-1+5x+4=180

Simplify

68+14x=180

14x=112

x=8

Answer:

15 feet

Step-by-step explanation:

See the attached graph.  [y and x replace h and t in the given equation]

The are two ways to answer the question.  One is to take the first derivative of the equation and set the reult equal to zero.  The solutions represnet the points at which the slope of the line is 0 (i.e., where the line changes direction - at the top and bottom).  

An easier way is to graph the equation and look for the maximum(s).  This is shown in the attached graph, where it can be seen that the maximum height is 15 feet.

The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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The factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

1*21 = 21,

3*7 = 21.

Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

x² - 4x - 21

= x² + (3 - 7)x - 21

= x² + 3x - 7x - 21

= x(x + 3) - 7(x + 3) {By taking common}

= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

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The rate of the area of the circle, expressed in terms of the circumference C, is 0.1C square centimeters per second.

What is known as a circle?

C=2πr

A=πr²

dA/dr=2πr=C

dr/dt=-0.1 cm/sec

      dA/dt

= dA/dr * dr/dt

= 2πr (-0.1) cm²/s

= -0.1C cm²/s

As a result, a circle's radius is reducing at a steady rate of 0.1 centimeters each second. The rate of the area of the circle, expressed in terms of the circumference C, is 0.1C square centimeters per second.

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We know that

l² = r² + h²

l² = (10.5)² + (36)²

l² = 110.25 + 1296

l² = 1406.5

l = √(1406.5)

l = 37.5 cm

Now,

CSA of cone = πrl

=> 22/7 × 10.5 × 37.5

=> 22 × 1.5 × 37.5

=> 1237.5 cm²

Area of 20 caps = 20 × 1237.5

=> 24750 cm²

Answer:

24740 cm²

Step-by-step explanation:

First let us find the slant height (l) of the corn

l²  =  r²  +  h²

l²  =  (10.5)² + (36)²

l²  =  110.25 +  1296

l²  =  1406.25

l  =  √1406.25

l  = 37.5 cm

Now let us use this formula to find the area of a corn

π r l

π × 10.5 × 37.5

1237.00 cm²

And now let's find the area of 20 caps or corns

1237.00 × 20

24740 cm²

Hope this helps you :-)