Problem 2: (10 pts) Solve the following separable equation: (e^-2x+y +e^-2x) dx -e^ydy = 0

Answer:

Yes it is a square

Step-by-step explanation:

They are all equal sides

Answer:

Yes, because AB = BC = CD = AD, and ABCD is a rectangle

Answer:

its u=(-2,1)

Step-by-step explanation:

Answer:

N - 3

Step-by-step explanation:

It is a series of -3 so:

7 -3 = 4

4 - 3 = 1

1 - 3 = -2

So:

N-3

where N is the present value in the sequence.

Answer:

$ 3675.19

Step-by-step explanation:

using formula CA=P(1+R/1200)^(12*T)

Answer:

Step-by-step explanation:

1. So after 30 years ( 6 years of deposits plus 24 years of leaving the money in the account) you will have  $1,219.59 in the account.

2. So after 24 years of making monthly deposits of $140 into the account, you will have $50,026.08 in the account.

The correct option is r < 0 for the given inequalities of  p < 0, q > 0, and p + q = r.

For the given inequalities;

p < 0, q > 0, and p + q = r;

As, we know that if p < 0; then it hold the negative value.

And for  q > 0, it have the positive values.

Because -negative(P) was closer to zero than Positive q, let's say p = -10 and q = 5.

p + q = r

Put the values;

r = -10 + 5 = -5,

r = -5

Therefore, r < 0 is the correct condition for the given inequalities.

To know more about the number line, here

https://brainly.com/question/4727909

#SPJ9

The net operating income will be $ 5000.

The profitability of real estate assets that produce income is evaluated using a formula known as net operating income (NOI). NOI is the total revenue from the asset less all running costs that are deemed to be absolutely required.

Here we have  

A product has a selling price of $10 per unit, variable expenses of $6 per unit, and total fixed costs of $35,000.

In total 10,000 units are sold  

The net operating income will be computed by Subtracting all expenditures from all money collected on the product.    

Net operating income = ($10 - $6) × 10000 - $ 35000

= ($10 - $6) × 10000 - $ 35000  

=  $ 40000 - $ 35000

= $ 5000    

Therefore,

The net operating income will be $ 5000.

Learn more about Net Operating Income

https://brainly.com/question/25895372  

#SPJ4

Answer:

Step-by-step explanation:

Slope intercept form: y = mx +b

10x - 7y = -8

      -7y = - 10x - 8

Divide the equation by (-7)

\(\dfrac{-7y}{-7}=\dfrac{-10x}{-7} +\dfrac{-8}{-7}\\\\\\y =\dfrac{10}{7}x+\dfrac{8}{7}\)

The order of processes that support the central dogma are:1.DNA replication: the process by which DNA makes a copy of itself.

2.Transcription: the process by which RNA is synthesized from a DNA template.

3.Translation: the process by which proteins are synthesized from RNA templates.

The central dogma of molecular biology describes the flow of genetic information within a biological system. The method by which DNA instructions are translated into useful products is known as the "Central Dogma." Francis Crick, who discovered the structure of DNA, first put up the idea in 1958.

The order of processes that support the central dogma are:

1.DNA replication: the process by which DNA makes a copy of itself.

2.Transcription: the process by which RNA is synthesized from a DNA template.

3.Translation: the process by which proteins are synthesized from RNA templates.

In summary, the central dogma can be described as follows: DNA is replicated to make more DNA, DNA is transcribed into RNA, and RNA is translated into proteins.

To learn more about DNA replication:

https://brainly.com/question/16464230

#SPJ4

Step-by-step explanation:

you need to solve this using fractions.

Example :

It takes 3 men 8 hours to build a wall. How long would it take 4 men to build the same wall?

For 3 men: It is 1 wall divided by 8 hours, which is 1/8.

For 1 man: It is 1/8 divided by 3, which is 1/24.

For 4 men: It is 1/24 multiplied by 4, which is 1/6, = 6 hours.

The equation we get for the amount of bacteria with  with time T

T(t)=15×2ⁿ where n is the number of hours.

Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.

Given here: A certain type of bacteria doubles every hour

Now number of hours between 9-12 pm

is 15 hours

if at 9 a.m the amount of bacteria is x then we have in 15 hours

at t=1 we have the number of bacteria was

T=2×15

=30

Similarly we have for t=15 we get

T=15×2¹⁵

Hence, The equation we get for the amount of bacteria with  with time T

T(t)=15×2ⁿ where n is the number of hours.

Learn more about exponents here:

https://brainly.com/question/5497425

#SPJ1

a) The probability that the port handles less than 5 million tons of cargo per week is 0.266.

b) The probability that the port handles 3 million or more tons of cargo per week is 0.823.

c) The probability that the port handles between 3 million and 4 million tons of cargo per week is 0.394.

d) The number of tons of cargo per week that will require the port to extend its operating hours is 4.699 million tons.

To calculate the probabilities, we need to use the information provided:

Mean cargo volume per week = 3.7 million tons

Standard deviation of cargo volume per week = 0.8 million tons

a) To find the probability that the port handles less than 5 million tons of cargo per week, we can use the z-score formula and the standard normal distribution:

z = (5 - 3.7) / 0.8 ≈ 1.625

Using a standard normal distribution table or a calculator, we find that the probability corresponding to a z-score of 1.625 is approximately 0.947.

The probability of handling less than 5 million tons is 1 - 0.947 ≈ 0.053.

b) To find the probability that the port handles 3 million or more tons of cargo per week, we can use the complement rule:

P(cargo ≥ 3 million tons) = 1 - P(cargo < 3 million tons)

Using the z-score formula, we find:

z = (3 - 3.7) / 0.8 ≈ -0.875

Using a standard normal distribution table or a calculator, we find that the probability corresponding to a z-score of -0.875 is approximately 0.191.

P(cargo < 3 million tons) ≈ 0.191

P(cargo ≥ 3 million tons) = 1 - 0.191 ≈ 0.809

c) To find the probability that the port handles between 3 million and 4 million tons of cargo per week, we can subtract the probability of handling less than 3 million tons from the probability of handling less than 4 million tons:

P(3 million ≤ cargo < 4 million) = P(cargo < 4 million) - P(cargo < 3 million)

Using the z-score formula, we find:

z1 = (4 - 3.7) / 0.8 ≈ 0.375

z2 = (3 - 3.7) / 0.8 ≈ -0.875

Using a standard normal distribution table or a calculator, we find the probabilities corresponding to z1 and z2:

P(cargo < 4 million tons) ≈ 0.647

P(cargo < 3 million tons) ≈ 0.191

P(3 million ≤ cargo < 4 million) ≈ 0.647 - 0.191 ≈ 0.456

d) To determine the number of tons of cargo per week that will require the port to extend its operating hours, we need to find the z-score corresponding to the 85th percentile of the standard normal distribution. This represents the point below which 85% of the data falls.

Using a standard normal distribution table or a calculator, we find the z-score that corresponds to an area of 0.85 is approximately 1.036.

Using the z-score formula, we can solve for the number of tons (x):

1.036 = (x - 3.7) / 0.8

Simplifying the equation:

0.8 * 1.036 = x - 3.7

0.8288 + 3.7 = x

x ≈ 4.699 million tons

a) The probability that the port handles less than 5 million tons of cargo per week is approximately 0.266.

b) The probability that the port handles 3 million or more tons of cargo per week is approximately 0.823.

c) The probability that the port handles between 3 million and 4 million tons of cargo per week is approximately 0.394.

d) The number of tons of cargo per week that will require the port to extend its operating hours is approximately 4.699 million tons.

To know more about probability , visit

https://brainly.com/question/251701

#SPJ11

Answer:

one side is 16, the other is 8\(\sqrt{3}\)

Step-by-step explanation:

30-60-90 angle triangle always give the following sides

1-\(\sqrt{3}\)-2 , which is a-b-c

to label your triangle as such

8= a

other leg =b

hypotenuse = c

so. if a =8, then

c = 8*2 =16

b=8\(\sqrt{3}\)

Answer:

length = 50 cm

Step-by-step explanation:

let width be w then length = w + 10

area = w(w + 10) = 2000 , that is

w² + 10w = 2000 ( subtract 2000 from both sides )

w² + 10w - 2000 = 0 ← in standard form

Consider the factors of the constant term (- 2000 ) which sum to give the coefficient of the w- term ( + 10)

the factors are + 50 and - 40 , since

50 × - 40 = - 2000 and sum = 50 - 40 = + 10

(w + 50)(w - 40) = 0 ← in factored form

equate each factor to zero and solve for w

w + 50 = 0 ⇒ w = - 50

w - 40 = 0 ⇒ w = 40

Since w > 0 then w = 40 and

length = w + 10 = 40 + 10 = 50 cm

Answer:

10825 mm³

Step-by-step explanation:

Volume of cylinder shaped stack

the correct statement is: The equation does not show a linear relationship or a proportional relationship.

The statement "The equation shows a linear relationship, but not a proportional relationship" is incorrect.

The equation y = 225x^2 + 60 represents a quadratic relationship, not a linear relationship. In a linear relationship, the equation would have the form y = mx + b, where m is the slope (constant rate of change) and b is the y-intercept (constant term). However, in the given equation, we have an x^2 term, which makes it a quadratic equation.

Furthermore, the equation does not represent a proportional relationship. In a proportional relationship, the ratio between the x-variable and the y-variable remains constant. This means that if you were to calculate the ratio of y to x for different values of x, you would always get the same value. However, in the given equation, the relationship between y and x is not proportional because of the x^2 term. As x increases, the impact on y is not linear, but rather quadratic, resulting in a curved relationship

for more such question on proportional relationship.

https://brainly.com/question/28777033

#SPJ8

Answer:

6:5 or \(\frac{6}{5}\)

Step-by-step explanation:

\(\frac{90}{75}\)  Divide by \(\frac{15}{15}\)

\(\frac{6}{5}\) or 6:5

Answer: nope

Step-by-step explanation:

Among the given options, "None of the above" is not an example of a time series model.

A time series model is used to analyze and forecast data that varies over time. It involves identifying patterns, trends, and seasonality in the data. The options "Exponential smoothing," "Moving Average," and "Exponential smoothing with Trend" are all examples of time series models commonly used for forecasting.

However, "None of the above" does not represent a specific time series model but rather signifies that none of the given options are correct examples of time series models. Therefore, "None of the above" is the option that is not an example of a time series model.

To learn more about Exponential click here:

brainly.com/question/29160729

#SPJ11

Wayne's Actual ACT score is 19.2 where mean is 21, standard deviation is 5 and the Z - score is -0.6.

Standard Deviation:

Standard deviation is  a measure of the dispersion of a set of numerical values from their mean.

The general form of the standard deviation is,

\(SD=\sqrt{\frac{\sum (x_i-\bar{x})}{n} }\)

where

xi is each value in the data set,

x-bar is the mean, and

n is the number of values in the data set.

Given,

Mean = 21.

Standard deviation = 5

Wayne's standardized score on the act = −0.6 .

Here we need to find the Wayne's Actual ACT score.

Let x be the Wayne's Actual ACT score.

So,
=> z-score = (x - mean)/SD

Apply the values on it,

=> -0.6 = (x - 21) / 3

=> -1.8 = x - 21

=> x = 21 - 1.8

=> x = 19.2

Therefore, Wayne's Actual ACT score is 19.2

To know more about Standard Deviation here.

https://brainly.com/question/16555520

#SPJ4

the graph that goes up the most

Answer: D

Step-by-step explanation:

Because it said she rode her bike 15 feet per second and per means 1 so for every second she rode 15 distance(feet)

I Hope This helped :)

Answer: exact form: y= -23/4

Step-by-step explanation: move all the terms that doesn’t contain “y” to the right side and solve.

Answer:

y=  1/4 x - 6

Step-by-step explanation:

Answer:  

4 is equal to x=1 + 30 will be 31

Step-by-step explanation:

2= 2x1 that is equal to 2 + 15= 17

in conclusion 2=17   and 4=31

To find the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0, we first need to find the characteristic equation by assuming that y = e^(rt), where r is a constant. Substituting this into the differential equation, we get r^3 - 6r^2 - 7r = 0.

Factoring this, we get r(r - 7)(r + 1) = 0. So the roots of the characteristic equation are r1 = 0, r2 = 7, and r3 = -1.

Therefore, the general solution of the differential equation is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants that can be determined using initial or boundary conditions.

In summary, the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0 is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants.

To know more about differential equation visit:

https://brainly.com/question/31492438

#SPJ11

The given statement is FALSE.

In a two-dimensional array, both dimensions do not necessarily have to have the same number of elements. The syntax [10][10] implies a two-dimensional array with 10 elements in each dimension, resulting in a square matrix of size 10x10.

However, it is possible to have a two-dimensional array where the number of elements in each dimension differs. For example, an array declared as [5][3] would have 5 elements in the first dimension and 3 elements in the second dimension, resulting in a matrix with 5 rows and 3 columns.

The dimensions of a two-dimensional array represent its structure and the arrangement of its elements in rows and columns. It is common for arrays to have different sizes in each dimension to accommodate specific data requirements. This flexibility allows for more dynamic storage and manipulation of data.

For instance, you might need a two-dimensional array to store data in a tabular format, where the number of rows can vary while the number of columns remains constant.

Hence, it is not necessary for both dimensions of a two-dimensional array to have the same number of elements. Arrays can have different sizes in each dimension, providing flexibility in storing and organizing data based on specific requirements.

To know more about Arrays, visit:

https://brainly.com/question/30726504

#SPJ11

Answer:

Step-by-step explanation:

The theoretical probability for the 1 horned, 1 eyed,  flying, people eater purple is found to be 1/120.

Experimental Probability: Based on actual results rather than mathematical calculations, the experimental probability of an occurrence is the likelihood that the event will actually occur.

Theoretical Probability: Considering that the event is ideal, the theoretical chance that it will occur is the theoretically ideal probability of a specific result. The flaws in the system are not taken into consideration by theoretical probability.

Theoretical Probability = Number of favorable outcomes / Number of possible outcomes.

The given probability are;

Let P(E)  be the theoretical probability  1 horned, 1 eyed,  flying, people eater purple.

Then,

P(E) =  3/4 * 1/5* 2/3* 3/8* 1/2

P(E) =  1/120

Know more about the theoretical probability

https://brainly.com/question/1503266

#SPJ1

To calculate the probabilities, we need to use the concept of binomial probability.

For a fair coin being tossed 5 times:

(a) Probability of getting five heads:

The probability of getting a head in a single toss is 1/2.

Since each toss is independent, we multiply the probabilities together.

P(Head) = 1/2

P(Tails) = 1/2

P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125

So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.

(b) Probability of getting four heads:

There are five possible positions for the four heads.

P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625

So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.

(c) Probability of getting one head:

There are five possible positions for the one head.

P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625

So, the probability of obtaining one head is approximately 0.15625 or 15.625%.

For a fair die being thrown eight times:

(a) Probability of a 6 occurring six times:

The probability of rolling a 6 on a fair die is 1/6.

Since each roll is independent, we multiply the probabilities together.

P(6) = 1/6

P(Not 6) = 1 - P(6) = 5/6

P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433

So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.

(b) Probability of a 6 never happening:

P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256

So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.

(c) Probability of an odd number of 6s:

To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

Calculate each term and sum them up to find the final probability.

After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.

Learn more about binomial probability here:

https://brainly.com/question/12474772

#SPJ11

Answer: 2

Step-by-step explanation:

Answer:

x = a²

Step-by-step explanation:

To undo the square root, you have to square both sides of the equation so it becomes...

(√x )² = a²

That undoes the square soot so it is

x = a²