a+b/a-b=5/3 what are the following ratios a+b/a

The solution  to the differential equation dy/dx = √(y/x), is v = (1/2) ∫ (√(1/x) - y/(x√(y/x))) dx

To solve the differential equation dy/dx = √(y/x), we can use a technique called separation of variables.

Let's begin by rewriting the equation in a more convenient form:

dy/dx = √(y/x)

We can rearrange the equation by multiplying both sides by √(x/y) to separate the variables:

√(y/x) dy = √(x/y) dx

Now, let's integrate both sides with respect to their respective variables:

∫√(y/x) dy = ∫√(x/y) dx

To integrate the left side, we can use the substitution u = √(y/x). Then, differentiating both sides with respect to x gives:

du/dx = (1/2) (√(1/x) - y/(2x√(y/x)))

Substituting this back into the equation, we have:

∫du = ∫(1/2) (√(1/x) - y/(2x√(y/x))) dx

Simplifying, we get:

u = (1/2) ∫ (√(1/x) - y/(x√(y/x))) dx

To integrate the right side, we can use the substitution v = √(y/x). Then, differentiating both sides with respect to x gives:

dv/dx = (1/2) (√(1/x) - y/(2x√(y/x)))

Substituting this back into the equation, we have:

∫dv = ∫(1/2) (√(1/x) - y/(2x√(y/x))) dx

Simplifying, we get:

v = (1/2) ∫ (√(1/x) - y/(x√(y/x))) dx

To know more about differentiation here.

brainly.com/question/30074964

#SPJ11

Answer:

x = 1

Step-by-step explanation:

1. Expand the expression:  \(2^x * 2^3 = 2*2^{-x} + 15\)

2. Evaluate the power: \(2^x * 8 = 2 * \frac{1}{2^{x}} +15\)

3. Substitute. Let's use t for \(2^x\) : \(t * 8 = 2 * \frac{1}{t} +15\)

4. Solve for t :

\(8t = \frac{2}{t} + 15\)

\(8t - \frac{2}{t} -15 = 0\)

\(\frac{8t^2-2-15t}{t}\)\(= 0\)

\(8t^2 -15t -2 = 0\)

\(t(8t + 1) -2 (8t + 1) = 0\)

\((8t + 1)(t-2) = 0\)

\(8t+1 = 0 ; t-2=0\)

\(t = -\frac{1}{8}; t=2\)

5. Substitute back:

\(2^x =\frac{1}{8} ; 2^x = 2\)

6. Solve for x

\(2^x = -\frac{1}{8}\) is false for any value of x because the exponential function is always positive, so there is no real solution.

\(2^x = 2^1\) since the bases are the same, set the exponents equal

x = 1

The value of this bond, if it paid interest annually, would be $850.78.

In order to calculate the value of the bond, we need to use the present value formula for a bond. The present value of a bond is the sum of the present values of its future cash flows, which include both the periodic coupon payments and the final principal payment at maturity.

To calculate the present value of the annual coupon payments, we can use the formula:

PV = C × (1 - (1 + r)⁻ⁿ) / r,

where PV is the present value, C is the coupon payment, r is the required yield to maturity, and n is the number of periods.

In this case, the coupon payment is $120 ($1,000 par value × 12% coupon rate), the required yield to maturity is 14% (0.14), and the number of periods is 13. Plugging these values into the formula, we get:

PV = $120 × (1 - (1 + 0.14)⁻¹³) / 0.14

  ≈ $850.78.

Therefore, the value of this bond, if it paid interest annually, would be approximately $850.78.

Learn more about bond

brainly.com/question/31994049

#SPJ11

The equation of the line in stope-intercept form is: y = -6x - 3

The general form for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

We are told that the equation of the line passes through the point (1,-9) and has the slope -6. Thus:

-9 = -6(1) + b

b = -3

Thus, the equation is:

y = -6x - 3

Read more about Equation of a Line at: https://brainly.com/question/18831322

#SPJ4

Answer:

What is the square root of 0.01?

would write 0.01=1100

Take the squre root: √1100=110=0.1

Answer Is 1/10

xXxAnimexXx

The two tangent angle theorem indicates that where the measure of the arc EB is 150° then we get;

The measure of the arc CEB = 210°

The measure of the angle m∠CDB = 30°

The two tangent angle theorem states that the angle formed at the intersection point of two tangent to a circle is half the difference of the measure of the intercepted arc.

The two tangent angle theorem indicates that the measure of the angle m∠CDB = (m\(\widehat{CEB}\) - m\(\widehat{CB}\))/2

The measure of the arc m\(\widehat{CEB}\) = 360° - 150° = 210°

Therefore; m∠CDB = (m\(\widehat{CEB}\) - m\(\widehat{CB}\))/2

m∠CDB = (210° - 150°)/2 = 30°

Learn more on tangents to a circle here: https://brainly.com/question/16510765

#SPJ1

The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

To know more about yield:

https://brainly.com/question/30820017

#SPJ4

Let pp be the number of players. We can write an equation to solve for the number of players.

1581.75 - 968.50 - (pp × 55.75) = 0

1581.75 - 968.50 - 55.75pp = 0

-55.75pp = -613.25

pp = 11

Therefore, the team can bring 11 players to the tournament. To find this, we subtracted the cost of the bus (968.50) and the cost of meals per player (55.75pp) from the total amount raised (1581.75).

We then divided both sides by -55.75 to solve for the number of players (pp) on the team.

For more questions like Equation click the link below:

https://brainly.com/question/18831322

#SPJ4

Answer: 14

Step-by-step explanation:

Use order of operations.

In this case, multiply before you subtract.

5 times 2 = 10

24 - 10 = 14

Answer:

14

Step-by-step explanation:

the bodmas rule b-bracket, o-of , d-division , m-multiplication , a-addition , s-subtraction , we should follow this order

so the first to do here is multiplication-5*2=10

2nd step subtraction - 24-10=14

so 14 is the answer

An internal firewall sits at the boundary between the corporate site and the internet. This statement is False.

A firewall is a security system designed to protect computer networks from unauthorized access. Firewalls are hardware, software, or a combination of both that act as a shield between an organization's internal network and the outside internet or other untrusted networks. It can also be used to separate an internal network from other internal networks.

Internal firewalls are utilized to improve an organization's security posture by segregating sensitive systems or networks from less sensitive systems. For example, one of the internal firewalls may be used to separate the accounting department's systems from the systems used by other departments to ensure that accounting information is only accessible by authorized individuals.

The statement that an internal firewall sits at the boundary between the corporate site and the internet is not true as it refers to an external firewall. The internal firewall is used to separate sensitive systems and networks from less sensitive ones, which helps to enhance the security of an organization.

Learn more about internal firewall :

brainly.com/question/32357492

#SPJ11

Answer:

Step-by-step explanation:

380 rows in total

bcs

use sense

Answer:

$0.20/lb

Step-by-step explanation:

2.99/15 = 199333

.20/lb

The rate of change of the distance with respect to time that the box submarine traveled is 11 feet per second

A rate of change describes how one quantity changes in relation to another quantity.

Mathematically, it is defined as the change in one quantity divided by the change in the other quantity.

In this case, we have:

rate of change = change in distance / change in time

Use the data in the table:

rate of change = 545-380/15-0

rate of change = 165/15 = 11

Note: You can pick any 2 data points for the calculation

Therefore, 11 feeet per second is the rate of change of the distance in feet below sea level with respect to time that the box submarine traveled

Learn more about rate of change on:

brainly.com/question/8728504

#SPJ1                

Answer:

A the awsers a

Step-by-step explanation:

as time goes by the obeject slows down due to fruction

Answer:

C

Step-by-step explanation:

the answer is C because this is a Distance/Time graph. The speed is not changing here, the distance is decreasing as we move, which means we're moving towards the point of origin

Answer:

B. 80

Step-by-step explanation:

According To Question, We Have

(180,14) (120,8) (? , 4) (220,18)

        Thus, (120*1/10)-4 ⇔ 120-4 = 8

Now (?*1/10)-4=4 solve it .

Thus, ?*1/10=8⇔?=80 is Our Missing Number .

Answer:

The correct option is Sometimes.

Step-by-step explanation:

Volume refers to the amount of three-D space that a liquid, a solid or a gas, occupies. Some of the most commonly used units of volume are cubic meters, liters, millilitres and cubic centimetres.

Whereas, capacity refers to the capability to hold or absorb something. It is similar in theory to volume, but there are little dissimilarities.  

Consider the example below:

So, the capacity of a container can be or cannot be less than the volume.

Thus, the correct option is Sometimes.

Dilbert's boss was wrong to use the number 40% to assume that the employees were cheating because it only represents a percentage and not the actual number of days that the employees were absent.

In reality, if the workweek is 5 days, then 40% would only be 2 days. Therefore, assuming that the employees were cheating based on this percentage alone is not a fair or accurate assessment. It's important to consider the actual number of days missed by each employee and investigate the reasons for their absence before jumping to conclusions.

While 40% might seem like nearly half of the days in a workweek, it doesn't necessarily imply that employees are cheating. To make a fair assessment, one should consider other factors such as workload, productivity, and employee performance, rather than solely focusing on a percentage.

To know more about percentage click here

brainly.com/question/24120406

#SPJ11

The mean of Y(n) is 0.

The mean of Z(n) is 0.

The variance of Y(n) is σ²/2.

The variance of Z(n) is (4/9)σ²/2.

Let's calculate the mean, variance, and covariance of Y(n) and Z(n) based on the given moving average processes.

Mean:

The mean of Y(n) can be calculated as:

E[Y(n)] = E[1/2(X(n) + X(n-1))]

Since X(n) is an IID(0,σ²) random variable, its mean is zero. Therefore, E[X(n)] = 0. We can also assume that X(n-1) is independent of X(n), so E[X(n-1)] = 0 as well. Hence, the mean of Y(n) is:

E[Y(n)] = 1/2(E[X(n)] + E[X(n-1)]) = 1/2(0 + 0) = 0.

Similarly, for Z(n):

E[Z(n)] = E[(2/3)X(n) + (1/3)X(n-1)]

Using the same reasoning as above, the mean of Z(n) is:

E[Z(n)] = (2/3)E[X(n)] + (1/3)E[X(n-1)] = (2/3)(0) + (1/3)(0) = 0.

Variance:

The variance of Y(n) can be calculated as:

Var(Y(n)) = Var(1/2(X(n) + X(n-1)))

Since X(n) and X(n-1) are independent, we can calculate the variance as follows:

Var(Y(n)) = (1/2)²(Var(X(n)) + Var(X(n-1)))

Since X(n) is an IID(0,σ²) random variable, Var(X(n)) = σ². Similarly, Var(X(n-1)) = σ². Hence, the variance of Y(n) is:

Var(Y(n)) = (1/2)²(σ² + σ²) = (1/2)²(2σ²) = σ²/2.

For Z(n):

Var(Z(n)) = Var((2/3)X(n) + (1/3)X(n-1))

Using the same reasoning as above, the variance of Z(n) is:

Var(Z(n)) = (2/3)²Var(X(n)) + (1/3)²Var(X(n-1)) = (4/9)σ² + (1/9)σ² = (5/9)σ².

To calculate the covariance between Y(n) and Z(n), we need to consider the relationship between X(n) and X(n-1). Since they are assumed to be independent, the covariance is zero. Hence, Cov(Y(n), Z(n)) = 0.

The mean of Y(n) and Z(n) is zero since the mean of X(n) and X(n-1) is zero. The variance of Y(n) is σ²/2, and the variance of Z(n) is (4/9)σ²/2. There is no covariance between Y(n) and Z(n) since X(n) and X(n-1) are assumed to be independent.

To know more about mean visit:

https://brainly.com/question/1136789

#SPJ11

The map visually represents the spatial distribution of the Hispanic population across U.S. counties, allowing for the identification of patterns and clusters. On the other hand, the histogram provides a quantitative representation of the distribution, illustrating the frequency or density of Hispanic population within specific ranges or categories.

The map reveals certain features that may not be apparent in the histogram. For instance, it allows us to observe spatial concentrations or clusters of Hispanic population, such as regions with high densities of Hispanic residents or areas where the Hispanic population is more dispersed. These spatial patterns can provide insights into factors like immigration patterns, cultural heritage, or historical settlement patterns that influence the distribution of the Hispanic population in the United States.

Conversely, the histogram highlights features that may not be readily visible in the map. The histogram enables a more detailed examination of the distribution within specific population ranges or categories. It can reveal the frequency or density of the Hispanic population within each range, allowing for comparisons across different counties or regions. By examining the histogram, one can identify variations in the size or proportion of the Hispanic population in different areas, potentially indicating demographic disparities or variations in population growth rates.

In summary, the map provides a visual understanding of the spatial distribution of the Hispanic population, highlighting clusters and patterns, while the histogram offers a quantitative representation, revealing variations in population density within specific ranges or categories. Both tools are valuable for analyzing and interpreting the distribution of the Hispanic population in U.S. counties, providing complementary perspectives for understanding demographic trends and patterns.

Learn more about distribution here:

https://brainly.com/question/29664127

#SPJ11

After using proportion method 325 calories will she get if she drinks the larger 20 oz. size.

What is proportion?

 Ratio and fractions are the main bases on which proportion is explained. Two ratios are equal when they are expressed as a fraction in the form of a/b, ratio a:b, and then a proportion. In this case, a and b can be any two integers. The ratio and proportion are important building blocks for understanding the numerous ideas in science and mathematics. Numerous challenges in daily life can be solved with proportion, including those in business when handling transactions or in the kitchen, among other situations. It creates a relationship between two or more quantities and aids in comparing them.

Here 16 oz medium size has 260 calories.

Then

=> \(\frac{size of coffee}{ calories}\)

=>\(\frac{16}{260}=\frac{20}{x}\)

=>x=\(\frac{20*260}{16}\)

=> x = 325

Hence 325 calories will she get if she drinks the larger 20 oz. size.

To learn more about proportion refer the below link

https://brainly.com/question/1496357

#SPJ4

Answer:

center: (-5,6)

Radius: 7

Step-by-step explanation:

Answer:

equation is the answer.

The completion of the following frequency table is below:

Age Range Tally Frequency

21-25 |||| 4

26-30 ||||| | 6

31-35 ||||| ||||| || 12

36-40 ||| 3

41-45 | 1

46-50 ||||| |||| 9

Frequency refers to the rate of occurrence of a data. It is the relationship between incidence and time period.

Tally can be defined as the record of data using marks.

Given data:

50, 20, 23, 34, 24, 21, 20, 26, 27, 27, 29, 30, 31, 32, 39, 33, 35, 31, 32, 32, 25, 35, 35, 35, 36, 40, 46, 47, 46, 50, 50, 50, 48, 47, 45, 28, 35

Age Range Tally Frequency

21-25 |||| 4

26-30 ||||| | 6

31-35 ||||| ||||| || 12

36-40 ||| 3

41-45 | 1

46-50 ||||| |||| 9

Read more on frequency table:

https://brainly.com/question/1809498

#SPJ1

Answer:

y = -1/4x + -6

Step-by-step explanation:

The point where the slope of the function F(X) = 5x - ln(x) is -5 is (0.1, 0.5 + ln(10)).

To find the point where the slope of the function is -5, we need to set the derivative of F(X) equal to -5 and solve for X.

Taking the derivative of F(X) with respect to X, we get 5 - 1/x. Setting this equal to -5, we have 5 - 1/x = -5. By solving this equation, we find x = 0.1.

To find the corresponding y-coordinate, we substitute x = 0.1 into the original function F(X) = 5x - ln(x). Evaluating this expression, we get F(0.1) = 0.5 + ln(10).

Therefore, the point where the slope of the function F(X) = 5x - ln(x) is -5 is (0.1, 0.5 + ln(10)).

to learn more about coordinate click here:

brainly.com/question/29092536

#SPJ11

The length of the hypotenuse is approximately equal to 10.6.

The length of the hypotenuse of a right triangle can be calculated using the Pythagorean theorem.

The theorem states that the square of the length of the hypotenuse (H) is equal to the sum of the squares of the lengths of the other two sides.

Hypotenuse square is equal to the sum of squares of other two sides

Let's take a = 7 and b = 8, we can use the theorem to find the length of the hypotenuse:

\(H^2 = a^2 + b^2\)

\(H^2 = 7^2 + 8^2\)

\(H^2 = 49 + 64\)

\(H^2 = 113\)

\(H = \sqrt{113}\)

Therefore, the length of the hypotenuse is approximately equal to 10.6.

To learn more about the Pythagorean theorem:

https://brainly.com/question/343682

#SPJ4

The only solution to the equation a*t*y = 0 is y = 0.

To show that the only solution to the equation a*t*y = 0 is y = 0, we can use the fact that if ax = b always has at least one solution, it means that a is non-zero. In the equation a*t*y = 0, we have a*t as the coefficient. Since a is non-zero, we know that a*t cannot be zero.

To satisfy the equation a*t*y = 0, the only possibility is for y to be zero. If y is non-zero, then a*t*y would also be non-zero, contradicting the equation. Therefore, the only solution that satisfies the equation is y = 0.

In summary, because the equation a*t*y = 0 has a non-zero coefficient (a*t), the only solution that makes the equation true is y = 0.

To learn more about equation  click here

brainly.com/question/29657983

#SPJ11

Answer:

2/3 = 12

12/2 = 1/3

1/3 = 6

3/3 = 3x6

Whole drive = 18miles

Hopefully this helps