please help me and don't just write a random answer for the points. thank you

(a) The junction capacitance per unit area is approximately 1.75 x 10^-5 F/cm². (b) To double the junction capacitance, we need to increase the acceptor concentration by a factor of 4. In other words, we need to increase NA from 2 x 10^15 cm⁻³ to 8 x 10^15 cm⁻³.

(a) The junction capacitance per unit area can be calculated using the following formula:

C = sqrt((qε/NA)(ND/(NA+ND))×V)

Where:

Plugging in the values given in the question, we get:

C = sqrt((1.6 x 10^-19 C × 12.4 ε0 / (2 x 10^15 cm⁻³)) × (3 x 10^16 cm⁻³ / (2 x 10^15 cm⁻³ + 3 x 10^16 cm⁻³)) × 1.6 V)

C ≈ 1.75 x 10^-5 F/cm²

(b) To double the junction capacitance, we need to increase the acceptor concentration (NA) by a certain factor. We can use the following formula to calculate this factor:

F = (C2/C1)² × (NA1+ND)/(NA2+ND)

Where:

Plugging in the values from part (a) as C1 and NA1, and using C2 = 2C1, we get:

2C1 = sqrt((qε/NA1)(ND/(NA1+ND))×V) × 2

Squaring both sides and simplifying, we get:

NA2 = NA1 × 4

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Answer:

10

Step-by-step explanation:

according to the formula of y = P(1-r)^x, P is the initial value, and in this case it looks like it is 10 :)

Three boys share R2100 in ratio 3:5:7 and the first boy will get R420, the second boy will get R700, and the third boy will get R980.

To determine how much each boy will receive, we must add up the ratios, which equals 3 + 5 + 7 = 15

To determine how much each boy will receive, we must add up the ratio, which equals 

In other words, the R2100 is split into 15 equal parts.

We can divide the overall amount by 15 to determine the value of each component:

R2100 ÷ 15 = R140

Accordingly, each component is valued R140.

We can multiply their ratio by R140 to determine the amount that each guy will receive:

First boy's share:

3 parts × R140 = R420

Second boy's share:

5 parts × R140 = R700

Third boy's share:

7 parts × R140 = R980

The first boy will receive R420, the second boy R700, and the third boy R980 as a result.

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Answer:

3.6cm

Step-by-step explanation:

YZ = 10² - 6² = 8

sinX = 8/10 = 53.13º

cos 53.13º = XN/6

XN = 3.6cm

Answer:

\( \underline{ \underline{ \red{ \large {\tt{✧ G \: I \: V \: E \: N}}} }}: \)

\( \underline{ \underline{ \purple{ \large{ \tt{✧ T \: O \: \: F\: I\: N\: D}}}}} : \)

\( \underline{ \underline{ \pink{\large {\tt{✧ S \: O \: L \: U\: T\: I \: O\: N}}}} }: \)

In rt. XYZ :

Using Pythagoras theorem:

\( \large{ \sf{p = \sqrt{ {h}^{2} - {b}^{2} } }}\)

Plug the values & then simplify!

⇢ \( \large{ \sf{YZ = \sqrt{( {10)}^{2} - {(6)}^{2} } }}\)

⇢ \( \large{ \sf{YZ = \sqrt{100 - 36}}}\)

⇢ \( \large{ \sf{YZ = \sqrt{64}}} \)

⇢ \( \large{ \sf{YZ = 8} \: cm} \: \)

In rt. YNZ ,

Using Pythagoras theorem :

⇾ \( \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}\)

⇾ \( \large{ \sf{ {YN}^{2} = {8}^{2} - {(10 - x)}}}^{2} \)

⇾ \( \large{ \sf{ {YN}^{2} = 64 - \{ {(10)}^{2} - 2 \times 10 \times x + {(x)}^{2} \} }}\)

⇾ \( \large{ \sf{ {YN}^{2} = 64 - \{100 - 20x + {x}^{2} \}}} \)

⇾ \( \large{ \sf{ {YN}^{2} = 64 - 100 + 20x - {x}^{2} }}\)

⇾ \( \large{ \sf{ {YN}^{2} = 20x - {x}^{2} - 36}} \longrightarrow \: eq (i)\)

In rt. XYN ,

Using Pythagoras theorem :

\( \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}\)

⇾ \( \large{ \sf{ {YN}^{2} = {(6)}^{2} - {(x)}}}^{2} \)

⇾ \( \large{ \sf{ {YN}^{2} = 36 - {x}^{2} \longrightarrow \: eq(ii) }}\)

Now , From Equation ( i ) & Equation ( ii )

⤑ \( \large{ \sf{20x - {x}^{2} - 36 = 36 - {x}^{2} }}\)

⤑ \( \large{ \sf{20x - \cancel{ {x}^{2} } - 36 = 36 - \cancel{ {x}^{2} }}}\)

⤑ \( \large{ \sf{20x = 36 + 36}}\)

⤑ \( \large{ \sf{20x = 72}}\)

⤑ \( \large{ \sf{x = 3.6}}\) cm

Hence, The length of XN is \( \large{ \boxed{\red{ \bold{ \tt{3.6 \: cm}}}}}\)

[ Correct me if I am wrong ]

♨ Hope I helped! ♡

♪ Have a wonderful day / night ! ☃

☥ \( \underbrace{ \overbrace{{ \mathfrak{Carry \: On \: Learning}}}}\) ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer: principal = $16.00

Step-by-step explanation:

P = A / (1 + rt)

P = 20 / (1+.05 x 5)

P = 20 / (1.25)

P = 16

Answer:

132

Step-by-step explanation:

240/5=48

48*2=96

240-15%=204

240-204=36

96+36=132

The number of pupils who came by bus is 108.

Total number of kids in school = 240

Fraction of pupils who came to school by car = 2/5

Number of pupils who came to school by car = \(\frac{2}{5}\) × 240

                                                                           = 96

Percentage of pupils who came to school by walk = 15 %

Number of pupils who came to school by walk = \(\frac{15}{100}\) × 240

                                                                              = 36

Number of people who came by bus  

                    =Total number of kids in school - number of pupils who         came by car - number of pupils who came by walk

                    = 240 - 96 - 36

                    = 108

Therefore, the number of pupils who came to school by bus = 108.

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Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = \(\frac{-2-0}{0-(-2)}\) = \(\frac{-2}{0+2}\) = \(\frac{-2}{2}\) = - 1

To calculate the expected value and variance of the lottery L, we need to consider the probabilities of winning each outcome and the values associated with those outcomes.

Let's calculate them step by step for the given lottery:

Lottery outcomes and their values:

Outcome 1: Winning $36 with a probability of 20% (0.2).

Outcome 2: Winning $16 with a probability of 80% (0.8).

Expected Value (E(L)):

The expected value of a lottery is the sum of the products of the probabilities and the corresponding values of the outcomes.

E(L) = (Value of Outcome 1 * Probability of Outcome 1) + (Value of Outcome 2 * Probability of Outcome 2)

= ($36 * 0.2) + ($16 * 0.8)

= $7.2 + $12.8

= $20

Therefore, the expected value of the lottery L is $20.

Variance (Var(L)):

The variance of a lottery measures the spread or variability of the possible outcomes. To calculate the variance, we need to calculate the squared deviations of each outcome from the expected value and then multiply them by their respective probabilities.

Var(L) = [(Value of Outcome 1 - E(L))^2 * Probability of Outcome 1] + [(Value of Outcome 2 - E(L))^2 * Probability of Outcome 2]

= [($36 - $20)^2 * 0.2] + [($16 - $20)^2 * 0.8]

= [($16)^2 * 0.2] + [(-$4)^2 * 0.8]

= [256 * 0.2] + [16 * 0.8]

= 51.2 + 12.8

= 64

Therefore, the variance of the lottery L is 64.

In summary:

The expected value (E(L)) of the lottery L is $20.

The variance (Var(L)) of the lottery L is 64.

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Answer:

d and b

Step-by-step explanation:

Answer:

A: 0.968 B: 0.625

Step-by-step explanation:

for part A:

since the linear term represents the velocity and the initial velocity is 0 then, 10x = 0. so our function is now

-16x^2 -15 =0

if we solve for x then we get both a negative and positive value but we only choose the positive one since time cant be negative.

x = 0.968

For part B:

since the constant represents the height and the initial height is 0 the equation becomes:

-16x^2 + 10x = 0

we solve for x once more and we get x = 0.626

make sure to ask if you need any further help.

and I would really appreciate a brainliest! :)

a)

The flotation device will land in the water after 3/4 seconds if the initial velocity is 0.

b)

The flotation device will land in the water after approximately 1.02 seconds if the initial height is 0.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

a.

If the initial velocity is 0, then the equation becomes:

-16x² + 15 = 0

We can solve for x by factoring the equation:

-16x² + 15 = (4x - 3)(-4x - 5) = 0

This gives us two solutions:

4x - 3 = 0 or -4x - 5 = 0

Solving for x in each case gives us:

x = 3/4 or x = -5/4

Since we are looking for the time at which the flotation device lands in the water, we can ignore the negative solution.

Therefore, the flotation device will land in the water after 3/4 seconds if the initial velocity is 0.

b.

If the initial height is 0, then the equation becomes:

-16x² + 10x + 15 = 0

We can solve for x using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Plugging in the values from the equation, we get:

x = (-10 ± √(10² - 4(-16)(15))) / 2(-16)

x = (-10 ± √(100 + 960)) / -32

x = (-10 ± √(1060)) / -32

Since we are looking for the time at which the flotation device lands in the water, we can ignore the negative solution.

Therefore, the flotation device will land in the water after approximately 1.02 seconds if the initial height is 0.

Thus,

The flotation device will land in the water after 3/4 seconds if the initial velocity is 0.

The flotation device will land in the water after approximately 1.02 seconds if the initial height is 0.

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It is impossible to give an exact solution for where g(x) is less than zero in interval notation, without knowing the specific function of g(x).

To find where g(x)<0, we need to find the values of x for which the function is negative. This can be done by solving the inequality g(x)<0.

Once we have found the values of x that make the function negative, we can write the answer in interval notation. Interval notation is a way of writing a set of numbers that fall within a certain range.

It is written using parentheses or brackets to indicate the endpoints of the interval and a comma to separate the two endpoints. For example, the interval notation for all numbers between 1 and 5 would be (1, 5).

Without knowing the specific function g(x), it is not possible to provide an exact answer for where g(x)<0. However, once you have solved the inequality g(x)<0, you can write the answer in interval notation by using the values of x that make the function negative as the endpoints of the interval.

For example, if the values of x that make the function negative are between -2 and 3, the answer in interval notation would be (-2, 3).

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Given:

The equation is:

\(y=\sqrt[3]{x}\)

To find:

The graph of the given equation.

Solution:

We have,

\(y=\sqrt[3]{x}\)

The table of values is:

x                 y

-8              -2

-1                -1

0               0

1                 1

8                8

Plot these points on a coordinate plane and connect them by a free hand curve as shown in the below graph.

Answer:

D

Step-by-step explanation:

edge 2020

Answer: Option (4)

Step-by-step explanation:

We can multiply each of the coordinates by 3/2.

\(A(-2,3) \longrightarrow A'(-3, 4.5)\\\\B(-4, -4) \longrightarrow B'(-6,-6)\\\\C(4,0) \longrightarrow C'(6,0)\\\\D(5,4) \longrightarrow D'(7.5, 6)\)

The cell may need to react by undergoing a lot of modifications (short-term and long-term). Different signal transduction proteins guarantee the signal's amplification and the emergence of a variety of responses (if necessary).

Here, we have,

the function of protein molecules in cell:

to make it easier for molecules to be transported into or out of cells passively or actively.

Metabotropic receptors that support other cell processes or metabolic cascades.

we know that, protein molecules:

These amino acids are arranged in a long chain and joined to one another by covalent peptide bonds to form proteins. Polypeptides are another name for proteins. The sequence of amino acids in every type of protein is distinct and identical from one molecule to the next. There are countless varieties of proteins, each with a unique amino acid sequence.

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complete question:

Why does one receptor have so many different signal transduction proteins/pathways?

If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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The no-arbitrage price today of a 5-year $1,000 US Treasury note with a 2% coupon rate and a 4.25% yield to maturity is approximately $908.44, closest to option B: $900.53.

To determine the no-arbitrage price of a 5-year $1,000 US Treasury note with a coupon rate of 2% and a yield to maturity (YTM) of 4.25%, we can use the present value of the future cash flows.First, let's calculate the annual coupon payment. The coupon rate is 2% of the face value, so the coupon payment is ($1,000 * 2%) = $20 per year.The yield to maturity of 4.25% is the discount rate we'll use to calculate the present value of the cash flows. Since the coupon payments occur annually, we need to discount them at this rate for five years.

Using the present value formula for an annuity, we can calculate the present value of the coupon payments:PV = C * (1 - (1 + r)^-n) / r,

where PV is the present value, C is the coupon payment, r is the discount rate, and n is the number of periods.

Plugging in the values:PV = $20 * (1 - (1 + 0.0425)^-5) / 0.0425 = $85.6427.

Next, we need to calculate the present value of the face value ($1,000) at the end of 5 years:PV = $1,000 / (1 + 0.0425)^5 = $822.7967.

Finally, we sum up the present values of the coupon payments and the face value:No-arbitrage price = $85.6427 + $822.7967 = $908.4394.

Rounding to the penny, the no-arbitrage price is $908.44, which is closest to option B: $900.53.

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Answer:

126

Step-by-step explanation:

(2*5*3)+(2*6*3)+(2*6*5)

Answer:

126cm²

Step-by-step explanation:

formula= 2 ( LB + BH + LH )

Answer:(2x+1)x=45

x=4.5

4.5*2+1=10

Step-by-step explanation:

Answer:

v=8

Step-by-step explanation:

–9v + 1 = –8v − 7

Add 9v to each side

–9v+9v + 1 = –8v+9v − 7

1 = v-7

Add 7 to each side

1+7 = v-7+7

8 =v

Answer:

V=6

Step-by-step explanation:

The smallest sample size n that provides the desired accuracy is 10.

To find the smallest sample size n that provides the desired accuracy, we can use the formula:

n = (Z-value * standard deviation / margin of error)²

Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)

Substituting the values, we get:

n = (1.96 * 1.5 / 0.3)²
n = 9.8

Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:

n = 10

Therefore, the smallest sample size n that provides the desired accuracy is 10.

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Your Answer is $0.5 or 1/2

A line up for tickets to a local concert is normally distributed with average waiting time of 25 m a standard deviation of 4 minutes, 6.68% of people in line waited for more than 31. Using the concept of probability we get -

The area of mathematics known as probability focuses with numerical figures as to how often it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Waiting time for tickets for a concert ~ N(25,4)

P(X > 31) = P( Z > (31 -25)/4) = P(Z > 1.5) = 1 - P( Z < 1.5) = 1 - 0.9332 = 0.0668

From the concept of Z-table we find the value of (Z < 1.5) is = 0.9332

Therefore, 6.68% people in the line will wait for more than 31 minutes.

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At the school football game, on Friday, were sold 88 student tickets and 272 adult tickets.

A system of equations is the given term of math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by substitution or adding methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

First, you should convert the text of the problem into equations, thus you can write:

 s + a= 360      (1)

3s + 4a =1352 (2)

where: s=student and a= adult

For solving this question, you can apply the substitution method. Thus, you should follow the steps below:

     1. From equation (1), you have s = 360 - a.

    2.  Replacing s = 360 - a in the equation (2) and find a . Thus,

         3*(360 - a)+4a=1352

         1080 -3a +4a = 1352

         a = 1352- 1080

        a = 272

    3.  Replacing a=272 in the equation (1) and find b. Thus,

         s + a= 360

         s+ 272 = 360

         s = 360 - 272

         s=88

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Integer represents the rowboat's position is 23 + 9 = 32.

Rena's rowboat drifts 23 feet from shore, followed by 9 more feet. The rowboat's current  position can be represented by -23 + (-9)

-23+(-9)=-23-9

=-32

So, the rowboat is 32 offshore.

What is a rowboat called?

While you may hear them simply referred to as boats, rowing boats are also frequently called shells. They are made from lightweight carbon fiber and reinforced plastic. Since shells are crucial to rowing, many crews will even give their rowing shells names to honor their importance

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201 numbers are less than 2017

If and only if it is odd, a number is the sum of two successive integers.

Only if it is a multiple of 5 is a number considered to be the sum of 5 consecutive integers. If you have any doubts, remember that the product of five consecutive integers equals five times the integer in the middle (this remains true if instead of 5 you put in any odd positive integer).

Consequently, you are seeking odd multiples of 5 below 2017. There are 403 multiples of 5 immediately below 2017, or 2015/5. Of those, 202 are odd. It is necessary to eliminate the number 5 because it is not completely positive when expressed as the sum of its successive integers, which is (-1)+0+1+2+3.

There are 201 numbers left.

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Answer:

No

Step-by-step explanation:

Answer:

10x + 2pix

Step-by-step explanation: