The range of doses for Losartan per day is 70 to 90 milligrams. What would be the corresponding range for doses in micrograms?

The differential equations that could be used to model this situation with respect to time t, where k is a positive constant is db/dt= kp(N-p)

A differential equation is a mathematical equation that contains one or more terms and the derivatives of one variable (the dependent variable) with respect to another variable.

A differential equation is an equation that connects one or more unknown functions and their derivatives. In most applications, functions represent physical quantities, derivatives represent their rates of change, and differential equations define a relationship between the two.

This was illustrated regarding the change with respect to the number of people.

Learn more about equations on:

https://brainly.com/question/2972832

#SPJ1

Answer:

-2

Step-by-step explanation:

find two points on the line. You go down 2 units and 1 unit to the right.

Answer:

the smaller one is 132

Step-by-step explanation:

140-8=132

Answer:

The center of the circle is at (0, 3), and the radius of the circle is 2.

So the equation of the circle is

\( {x}^{2} + {(y - 3)}^{2} = {2}^{2} \)

\( {x}^{2} + {(y - 3)}^{2} = 4\)

Answer:

Zero

Step-by-step explanation:

y=0

0 divided by most numbers (except 0) is 0.

Answer:

See answers below

Step-by-step explanation:

Given the function:

f(x) = 0.15x + 900

a) f(80) = 0.15(80) + 900

f(80) = 12 +  900

f(80) = 912

b)  f(120) = 0.15(120) + 900

f(120) = 18 +  900

f(120) = 918

c) f(200) = 0.15(200) + 900

f(200) = 30 +  900

f(200) = 930

d)  f(56) = 0.15(56) + 900

f(56) = 8.4 +  900

f(56) = 908.4

Answer:

graph it on -1/2

Step-by-step explanation:for the y-axis you would put it on -1 and for the x axis put it on 2 :) if its wrong please lmk! or if you need help let me know

Answer:

C (2)

Step-by-step explanation:

The weighted average of -1 and 5 with two-thirds of the weight on the first number and one-third on the second number is 1.

As per the question, we have:

First number: -1

Weight on the first number: 2/3

Second number: 5

Weight on the second number: 1/3

To calculate the weighted average:

Weighted average = ((-1) × (2/3) + (5) × (1/3)) / ((2/3) + (1/3))

Simplifying the expression:

Weighted average = ((-2/3) + (5/3)) / (2/3 + 1/3)

Weighted average = (3/3) / (3/3)

Weighted average = 3/3

Thus, the weighted average of -1 and 5 with two-thirds of the weight on the first number and one-third on the second number is 1.

Learn more about the weighted average here:

https://brainly.com/question/28334973

#SPJ2

The conditional probability of a randomly generated bit string of length five containing at least three consecutive 1s, given that the last bit is a 0, is 0.125.

To calculate the conditional probability, we need to consider the possible configurations of the bit string. For a bit string of length five ending in 0, the first four bits can take on any combination of 0s and 1s.

However, we need to exclude the cases where the bit string already contains three consecutive 1s.

The total number of possible bit strings ending in 0 is 2^4 = 16, as each of the four bits can take on two possible values (0 or 1).

Out of these 16 possible bit strings, we need to determine the number of bit strings that have at least three consecutive 1s.

Let's consider the favorable cases:

1110

1111

There are two favorable cases.

Therefore, the conditional probability is 2/16 = 1/8 = 0.125.

Visit here to learn more about probability:

brainly.com/question/13604758

#SPJ11

==========================================================

Explanation:

An estuary is where a river pours into the ocean. So that means fresh water mixes with salt water here. This allows us to rule out choices A and B.

According to NOAA, their site says "Estuaries are one of the most productive ecosystems in the world, so there is a great diversity of animals and plants that live there". In other words, a lot of plants and animals live here, so we can rule out choice C.

Choice D is the answer because tides do affect estuaries. This is simply because the ocean is pretty much right next to it, or attached to it. So it's expected that a high tide would cause the water level in an estuary to increase.

Answer:

it is affected by tides that's the conclusion I have come to

The ratio of students who secured grades A,B,C and D​ is 9 : 15 : 4 : 2

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

Students = 60

A = 18

B = 30

C = 8

D = 4

When represented as a ratio, we have

Ratio = A : B : C : D

substitute the known values in the above equation, so, we have the following representation

A : B : C : D = 18 : 30 : 8 : 4

Simplify

A : B : C : D = 9 : 15 : 4 : 2

Hence, the ratio of students who secured grade A,B,C and D​ is 9 : 15 : 4 : 2

Read more about ratio at

https://brainly.com/question/21003411

#SPJ1

Answer:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

Answer:

A coefficient is a numerical or constant quantity placed before and multiplying variable.

Step-by-step explanation:

For example, 4x+8=12. 4 is the coefficient.

The net profit on sales ratio for the given financials is 15.68%

To calculate the net profit on sales ratio, also known as the profit margin ratio, you would divide the net profit by the total sales and multiply by 100 to express the result as a percentage.

The calculation is,

Net Profit on Sales Ratio = (Net Profit ÷ Total Sales) x 100%

Substituting the given values, we get

Net Profit on Sales Ratio = (R23,009 ÷ R146,700) x 100%

Do the arithmetic operations

= 15.68%

This means that for every Rand of sales generated, the company earned a profit of 15.68 cents.

Learn more about net profit here

brainly.com/question/30652816

#SPJ4

When an individual places their phone number on the Do Not Call (DNC) Registry, it remains there permanently, and telemarketers are prohibited from making unsolicited calls to that number until the individual requests to be removed from the list.

When an individual places their phone number on the Do Not Call (DNC) Registry, it remains there permanently, and telemarketers are prohibited from making unsolicited calls to that number until the individual requests to be removed from the list. This list is managed by the Federal Trade Commission (FTC), which enforces the Telephone Consumer Protection Act (TCPA) in the United States. If someone's phone number is on the DNC registry, the registry rules apply indefinitely. This means that even if the individual's phone number is still listed after a period of time, telemarketers are prohibited from calling that number. If the individual wishes to receive telemarketing calls again, they must remove their phone number from the list by dialing the DNC registry's phone number, which is 1-888-382-1222. The process of removing a phone number from the list is a simple one. Dial the number on your phone, and then follow the instructions that the voice prompt gives you. Furthermore, it is important to know that calls from organizations that you have given permission to call you are still allowed even if your number is on the DNC registry.

To know more about telemarketers visit: https://brainly.com/question/32807591

#SPJ11

Answer:

12

Step-by-step explanation:

h(n)=3n

h(4)

1. Subsitute 4 for n

h(4)=3*4

h(4)=12

Answer:

12

Step-by-step explanation:

h(4)=3n

h(4)=3(4)

h(4)=12

Answer:

Step-by-step explanation:

Here, 4 teams given. Each teams has played every other teams 4 times.

so here we will name each team

team a = bulls

team b = lakers

team c = knickers

team c = warriors

So to find total number of games, we know that Bulls played with the other 3 teams by 4 times that is (4×3) = 12, Lakers played with the other two teams by 4 times that is (4×2) = 8, Knicks played with Warriors 4 times.

Therefore, total number of games = .

Total points given, for Bulls = 22, for Lakers = 19, for Knickers = 14, for Warriors = 12.

So sum of total points =

For a win a team earned 3 points and for a tie two teams win 1 point.

That means for tie total point = 1+1 = 2.

Let's take total number of game which ended as win played be x and total number of game which ended as a tie be y.

We have got total number of games is 24.

So we can write the equations as,

.......Equation 1

And also we have got total number of points is 67. So the equation is,

.......Equation 2

From equation 1, if we move x to the right side we will get,

Now let's substitute this value in equation 2, to get the value of x. By substituting the value we will get,

We will expand 2 now.

We will move 48 to the other side by subtracting it from both sides. We will get,

So the number of games which ended as a win = 19

The number of games which ended as a tie = 24 -19 =5  

So we have got the required answers.

u can just check the answer and this answer is copy righted from its rightful owner

Given two functions f(x) and g(x), its composition will be:

It is read g compound f or simply said to g we are going to fill it with f. So, you have

To expand the binomial, apply the binomial formula to the cube, that is:

So, you have

Finally, operate similar terms

x = 2 is your missing value.

The equation below encapsulates the idea of direct variation.

If y is expressed as the product of a constant integer k and x, we say that y varies directly with x.

It becomes clear that k is the constant ratio between y and x if we isolate it on one side. In other words, there is always a constant result when you divide y by x.

K is also referred to as the proportionality constant, constant of variation, or just k.

You are finding the direct variation's solution. This indicates that both x and y have the same amount of change:

Observe: (x, y) & (x1, y1)

(x , y) = (4 , 6)

(x₁ , y₁) = (x , 3)

Set the two on an equal footing:

(4 , 6) = (x , 3)

Find common denominators (y). Remember that what you multiply to one you multiply to the other:

(4 , 6) = (x * 2, 3 * 2) = (2x , 6)

Simplify. Isolate the variable x.

Divide:

(4) = (2x)

(4)/2 = (2x)/2

x = 4/2

x = 2

x = 2 is your answer.

Learn more about the direct variation from :

brainly.com/question/14254277

#SPJ4

A slope field for the given differential equation dy/dx = xy/2 at the 9 points indicated is shown below.

We know that a slope field represents the slope of a differential equation at certain vertical and horizontal intervals on the coordinate plane.

First we construct a table which contains the values of slope.

Consider given differential equation dy/dx = xy/2

where -1 ≤ x ≤ 1,

1 ≤ y ≤ 3

Let the slope be m

so, dy/dx = m

For x = -1, y = 1

m = (-1 × 1)/2

   = -1/2

For x = -1, y = 2

m = (-1 × 2)/2

   = -1

For x = -1, y = 3

m = (-1 × 3)/2

   = -3/2

For x = 0, y = 1

m = (0 × 1)/2

   = 0

For x = 0, y =2

m = (0 × 2)/2

   = 0

For x = 0, y = 3

m = (0 × 1)/2

   = 0

For x = 1, y = 1

m = (1 × 1)/2

   = 1/2

For x = 1, y = 2

m = (1 × 2)/2

   = 1

For x = 1, y = 3

m = (1 × 3)/2

   = 3/2

So, the table is:

x/y     1  2    3

-1     -1/2   -1      -3/2

0     0   0   0

1       1/2     1      3/2

Therefore, the slope field is as shown below.

Learn more about the  differential equation here:

https://brainly.com/question/13378403

#SPJ4

five couples have reserved seats in a row for a concert, 3840 different ways can they be seated. So, using the concept of combination formula we get -

The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the process of choosing items or things from a bigger group where order is irrelevant.

The formula becomes: \(^nC_r\)

Where n = total number of objects in the set.

r = number of choosing objects from the set

Given that,

there are five couples

These couples have reserved seats in a row for a concert.

So, arrangements of 5 couples can be done in 5! × 2⁵= 3840 ways.

To know more about combination formula refer to:

https://brainly.com/question/28065038

#SPJ4

Assumptions: For the purpose of this exercise, let's assume that we are analyzing defects in a manufacturing process. We will invent data for five different categories of defects and their corresponding frequencies. the cumulative percentage for each category, we find that the top 20% category of defects is Category A.

a. Based on the invented data, the histogram analysis reveals the following distribution of defects and their frequencies:

Category A: 50 defects

Category B: 30 defects

Category C: 20 defects

Category D: 15 defects

Category E: 10 defects

To identify the top 20% of the category of defects contributing to 80% of the total volume, we calculate the cumulative frequency. Starting with the category with the highest frequency, we add up the frequencies until we reach 80% of the total. In this case, Category A contributes the highest frequency, and its cumulative frequency is 50. The total number of defects is 125 (50 + 30 + 20 + 15 + 10). By calculating the cumulative percentage for each category, we find that the top 20% category of defects is Category A.

b. Performing a Root Cause Analysis for the Top Contributing Factor (Category A) using the 5-Why method or Fishbone diagram helps determine the underlying causes. We identify potential factors such as equipment malfunction, operator error, insufficient training, or process variability. By asking "why" repeatedly, we dig deeper into each cause to uncover the root cause.

c. Based on the analysis, we develop a corrective action plan and preventive action plan. For example:

Corrective Action Plan: Assign qualified technicians to regularly inspect and maintain the equipment, conduct additional training for operators to enhance their skills, and implement process control measures to reduce variability.

Preventive Action Plan: Establish a preventive maintenance schedule for equipment, implement a comprehensive training program for all operators, and conduct regular process audits to identify and address potential issues proactively.

The corrective and preventive action plans should clearly define the tasks, responsibilities, and timelines. The maintenance department may be responsible for equipment maintenance, the training department for operator training, and the quality department for process audits. Regular monitoring and evaluation of the action plans should be conducted to ensure effectiveness and make any necessary adjustments.

know more about cumulative frequency click here:

https://brainly.com/question/28491523

#SPJ11

⇒ x² - 6x = -8

\(\sf add \ 9 \ on \ both \ sides\)

⇒ x² - 6x + 9 = -8 + 9

\(\sf simplify \ and \ complete \ square\)

⇒ x² - 3x - 3x + 9 = 1

\(\sf factor \ common \ term\)

⇒ x(x - 3) - 3(x - 3) = 1

\(\sf collect \ into \ groups\)

⇒ (x - 3)² = 1

\(\sf square \ root \ both \ sides\)

⇒ x - 3 = ±√1

\(\sf simplify\)

⇒ x - 3 = ±1

\(\sf change \ side\)

⇒ x = 1 + 3, -1 + 3

\(\sf simplify\)

⇒ x = 4, 2

\(\rightarrow \sf 4x^2 + 12x + 11 = 0\)

\(\rightarrow \sf 4\left(x^2+3x+\dfrac{11}{4}\right) = 0\)

\(\rightarrow \sf 4\left(x^2+3x+\dfrac{11}{4}+\left(\dfrac{3}{2}\right)^2-\left(\dfrac{3}{2}\right)^2\right) = 0\)

\(\rightarrow \sf 4\left(x+\dfrac{3}{2}\right)^2+2 = 0\)

\(\rightarrow \sf \left(x+\dfrac{3}{2}\right)^2 = -\dfrac{2}{4}\)

\(\rightarrow \sf \left(x+\dfrac{3}{2}\right)^2 = -\dfrac{1}{2}\)

\(\rightarrow \sf x+\dfrac{3}{2} = \pm \sqrt{-\dfrac{1}{2} }\)

\(\rightarrow \sf x+\dfrac{3}{2} = \pm i\sqrt{\dfrac{1}{2} }\)

\(\rightarrow \sf x= \pm i\sqrt{\dfrac{1}{2} }-\dfrac{3}{2}\)

Answer:

21

Step-by-step explanation:

the opposite of 12 is 21

The evaluation of the integral ∫(4x−x^2)/(9x^2) dx is:
(1/3) ln|x| + C, where C is the constant of integration.

To evaluate the integral ∫(4x−x^2)/(9x^2) dx, we can break it down into two separate integrals.
First, let's consider the integral of 4x/9x^2:
∫(4x/9x^2) dx
We can simplify this by canceling out a factor of x:
∫(4/9x) dx
Now, we can integrate using the power rule:
(4/9) ∫(1/x) dx
Integrating 1/x gives us the natural logarithm of x:
(4/9) ln|x| + C1
Next, let's consider the integral of -x^2/9x^2:
∫(-x^2/9x^2) dx
We can simplify this by canceling out a factor of x^2:
∫(-1/9x) dx
Now, we can integrate using the power rule:
(-1/9) ∫(1/x) dx
Again, integrating 1/x gives us the natural logarithm of x:
(-1/9) ln|x| + C2
Combining both integrals, we have:
(4/9) ln|x| - (1/9) ln|x| + C
Simplifying, we get:
(3/9) ln|x| + C
Finally, we can simplify the constant by expressing it as a fraction:
(1/3) ln|x| + C

Learn more about integral

https://brainly.com/question/31433890

#SPJ11

The point of intersection of two straight line graphs is the point with coordinates that satisfies both lines equations

The length of segment EF is presented as follows;

\(EF =\underline{\mathbf{ 17\dfrac{1}{7} \ ft.}}\)

The reason why the above value is correct is as follows;

The given parameters are;

Height of right triangle ACD = 40 ft.

Height of right triangle BCD = 30 ft.

Required:

To find the length of EF

Solution:

The equation of the lines AC and BD are found and equated to find the height of EF as follows;

The slope of AC = \(\dfrac{-40}{CD}\)

The equation of AC  is presented as follows;

\(y - 40 = \dfrac{-40}{CD} \times (x - 0)\)

\(y = \dfrac{-40}{CD} \times x + 40\)

The slope of BD = \(\dfrac{30}{CD}\)

The equation of BD is given as follows;

\(y - 30 = \dfrac{30}{CD} \times (x - CD)\)

\(y = \dfrac{30}{CD} \times (x - CD)+ 30\)

Equating both values of y to find the value of y at the intersecting point E, gives;

\(\dfrac{-40}{CD} \times x + 40 = \dfrac{30}{CD} \times (x - CD)+ 30\)

Which gives;

\(\dfrac{40 \cdot CD - 40 \cdot x}{CD} = \dfrac{30 \cdot x}{CD}\)

Therefore;

40·CD - 40·x = 30·x

\(CD = \dfrac{70\cdot x}{40} = \dfrac{7\cdot x}{4}\)

\(CD = \dfrac{7\cdot x}{4}\)

Therefore, at E, we have;

\(y = EF= \dfrac{40 \cdot CD - 40 \cdot x}{CD} = \dfrac{30 \cdot x}{CD}\)

\(y = EF = \dfrac{40 \times \dfrac{7}{4}\cdot x - 40 \cdot x}{\dfrac{7}{4}\cdot x} = \dfrac{30 \cdot x}{\dfrac{7}{4}\cdot x} = \dfrac{120}{7} = 17\dfrac{1}{7}\)

\(\underline {EF = 17\dfrac{1}{7} \ ft.}\)

Learn more about the point of intersection of straight lines here:

https://brainly.com/question/13713063