NO LINKS!!! URGENT HELP PLEASE!!!

Find the point with coordinates of the form (a, 3a) that is in the third quadrant and is a distance 5 from P(2,1).

(x, y) = __________

Answers

Answer 1

Answer:

(-8.89, -26.69)

Step-by-step explanation:

To find the point with coordinates of the form (a, 3a) that is in the third quadrant and is a distance 5 from P(2,1), we can use the following steps:

Since the point is in the third quadrant, both the x-coordinate and the y-coordinate must be negative. Therefore, we can write (a, 3a) as (-|a|, -3|a|).We know that the distance between P(2,1) and (-|a|, -3|a|) is 5. We can use the distance formula to set up an equation and solve for |a|:

[tex]\sqrt{(2 - (-|a|))^2 + (1 - (-3|a|))^2} = 5\\\sqrt{(2 + |a|)^2 + (1 + 3|a|)^2} = 5[/tex]

Squaring both sides of the equation and simplifying, we get:

[tex]a^2 + 8a - 8 = 0[/tex]

Solving for a using the quadratic formula, we get:

[tex]a = \frac{-8 ±\sqrt{8^2 - 4(1)(-8)}} {(2(1))}\\a = \frac{-8 ± \sqrt{96}}{ 2}\\a = -4 ± 2\sqrt{6}[/tex]

Since the point is in the third quadrant, we want the negative root, so:

[tex]a = -4 - 2\sqrt(6)[/tex]

Substituting this value of a into (-|a|, -3|a|), we get:

(x, y) =[tex](-|-4 - 2\sqrt(6)|, -3|-4 - 2\sqrt(6)|)[/tex]

(x, y) ≈ (-8.89, -26.69)

Therefore, the point with coordinates of the form (a, 3a) that is in the third quadrant and is a distance 5 from P(2,1) is approximately (-8.89, -26.69).


Related Questions

What is the measure of angle x?

Enter your answer in the box.

Answers

• opposite angles have the same degree

The answer is 43

Answer:

43

Step-by-step explanation:

at the upper horizontal plane the angles add up to 180 degrees so you add the right angle with the 47 degrees and then you subtract the answer from180 degrees.the value you obtain is oppositely equal to the value of x hence,43

DETERMINE IF THE SEQUENCES ARE ARITHMETIC, IF SOFIND THE COMMONDIFFERENCE, THE 52 TERM, AND EXPLICIT FORMULA

31, -69, -169, -269

Answers

The common difference of the sequence is - 100.

The explicit formula of the sequence is  131 - 100n.

The 52 term of the sequence is -5069.

How to find the explicit formula of a sequence?

Let's find the explicit formula of the arithmetic sequence as follows:

31, -69, -169, -269

We will find the common difference and the 52 terms.

Therefore,

a + (n + 1)d = nth term

where

a = first termd = common differencen = number of terms

Therefore,

d = common difference = -69  - 31 = - 100

Therefore,

nth term = 31 + (n - 1)-100

nth term = 31 - 100n + 100

nth term = 131 - 100n

Let's find the 52 term

Hence,

52 term = 131 - 100(52)

52 term = 131 - 5200

52 term = -5069

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Brainliest and extra points for right answer.
Use the graph to answer the question.

Graph of polygon ABCDE with vertices at negative 1 comma negative 4, negative 1 comma negative 1, 3 comma negative 1, 3 comma negative 4, 1 comma negative 6. A second polygon A prime B prime C prime D prime E prime with vertices at 13 comma negative 4, 13 comma negative 1, 9 comma negative 1, 9 comma negative 4, 11 comma negative 6.

Determine the line of reflection.

Reflection across the x-axis
Reflection across x = 6
Reflection across y = −3
Reflection across the y-axis

Answers

Answer:

The question is asking about the line of reflection that would transform polygon ABCDE to its image A' B' C' D' E'.

To determine the line of reflection, we need to identify the axis or line that reflects each point of polygon ABCDE to its corresponding point on polygon A' B' C' D' E'.

Looking at the coordinates of the vertices, we can see that the x-coordinates of the corresponding points are the same, but the y-coordinates are opposite in sign. This suggests that the line of reflection is parallel to the x-axis.

Furthermore, we can see that the reflected image is below the original polygon, so the line of reflection must be the x-axis itself, reflecting the polygon downward.

Therefore, the correct answer is "Reflection across the x-axis."

Select all statements that are true.

Answers

Answers:

A, B, D, E

Nearly everything except choice C is true.

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

Explanation:

Choice A is true because sine = opposite/hypotenuse.Choice B is true as well because cosine = adjacent/hypotenuseTangent is opposite/adjacent. The 4/9 should be 9/4. Therefore, choice C is false. If beta was theta, then tan(theta) = 4/9 would be true.Choice D is true because of the pythagorean theorem a^2+b^2 = c^2.Choice E is true because tan = opposite/adjacent, and the 9 and 4 are in the correct order (see choice C).

Compare and contrast the direct write-off method and the allowance method for bad debts.
At a minimum, please consider the following in your answer:

When is the expense for uncollected accounts receivable recognized under each method?
Why is the direct write-off method not considered to follow generally accepted accounting

Answers

The direct write-off method and the allowance method are two different ways of accounting for uncollectible accounts receivable.

How do we explain?

When an account is found to be uncollectible, the direct write-off method records the expense for uncollected accounts receivable. This approach involves simply writing off the uncollectible account as a bad debt expense and deducting the outstanding quantity from the accounts receivable total.

Despite being quite easy to understand and basic, this method does not adhere to generally accepted accounting principles (GAAP) because it does not match expenses to the time period during which income was generated.

In contrast, the allowance approach establishes an allowance for doubtful accounts contra-asset account and estimates the amount of uncollectible accounts before recognizing the expense for uncollected accounts receivable.

This allowance account is used to lower the balance of accounts receivable to the anticipated amount of collection. Instead of when the account is found to be uncollectible, the expense is recognized at the time the estimate is made. Because it matches the expense to the time period in which the revenue was received, this method is thought to be more accurate than the direct write-off method.

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50 points. use rotation tool in top right to flip upright.

Answers

Answer:

(a) 56%

(b) 28%

Step-by-step explanation:

Hope this helps! :)

When we started here, there were 500 employees. Since then, we have added 35% more employees, so we now have a total of _________ employees

Answers

The company now has 675 employees after adding 35% more employees to the initial 500 employees.

What is percentage?

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

To calculate the total number of employees after adding 35%, you can multiply the initial number of employees by 1.35:

Total number of employees = 500 x 1.35

Total number of employees = 675

Therefore, the company now has 675 employees after adding 35% more employees to the initial 500 employees.

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17 feet 2 inches= Inches

Answers

Answer:

206 inches

Step-by-step explanation:

1 feet = 12 inches

17 feet = 17 x 12 = 204 inches

17 feet 2 inches = 204 + 2 = 206 inches

So, 17 feet 2 inches = 206 inches

3. vertices at (-8, 4) and (4, 4), foci at (-3, 4) and (-1, 4)

Answers

The equation of the ellipse is ((x+2)² / 36) + ((y-4)² / 35.12) = 1

To find the center of the ellipse, we can find the midpoint between the two vertices:

Midpoint = ((-8 + 4)/2, (4 + 4)/2) = (-2, 4)

So the center of the ellipse is (-2, 4).

To find the semi-major axis (a), we can find the distance from the center to one of the vertices:

Distance = √[(-8 - (-2))² + (4 - 4)²] = √36 = 6

So the semi-major axis is 6.

To find the distance between the foci (2c), we can find the distance between the two foci:

Distance = √[(-3 - (-1))² + (4 - 4)²] = 2

So 2c = 2 and c = 1.

Now we can use the relationship between a, b, and c in an ellipse:

c² = a²- b²

(1)² = (6)² - b²

b² = 35

b ≈ 5.92

So the semi-minor axis is approximately 5.92.

Therefore, the equation of the ellipse is ((x+2)² / 36) + ((y-4)² / 35.12) = 1

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Correct question is "vertices at (-8, 4) and (4, 4), foci at (-3, 4) and (-1, 4), find the equation of the ellipse."

5You can form a right triangle by cutting a _______ in half diagonally.

Answers

You can form a right triangle by cutting a square in half diagonally.

A square is a quadrilateral with four equal sides and four right angles. When a square is cut in half diagonally, it forms two congruent right triangles. The two halves of the square, which are the two legs of the right triangle, are equal in length.

The diagonal of the square, which is the hypotenuse of the right triangle, can be found using the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides (the legs) is equal to the square of the length of the longest side (the hypotenuse).

Therefore, in a right triangle formed by cutting a square in half diagonally, the length of the hypotenuse can be found by taking the square root of the sum of the squares of the lengths of the two legs.

In summary, cutting a square in half diagonally allows us to form two congruent right triangles with equal leg lengths, making it a suitable shape to form a right triangle.

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HELP ASAP ASAP PLS PLS ALSO BRAINLIEST
A family recipe calls for sauce and oregano. The table below shows the parts of sauce to oregano used to make the recipe.


Servings Sauce (cups) Oregano (tsp)
4 8 one half
6


At this rate, how much sauce and oregano will be needed to make 6 servings?
The recipe will need 12 cups of sauce and three fourths teaspoons of oregano for 8 servings.
The recipe will need 12 cups of sauce and 1 teaspoon of oregano for 8 servings.
The recipe will need 10 cups of sauce and 1 teaspoon of oregano for 8 servings.
The recipe will need 10 cups of sauce and three fourths teaspoons of oregano for 8 servings

Answers

The amounts needed to make 6 servings are given as follows:

Sauce: 12 servings.Oregano: 3/4 teaspoons.

How to obtain the amounts?

The needed amounts to make 6 servings of the recipe are obtained applying the proportions in the context of the problem.

From the first line of the table, we get the amounts of sauce and oregano per serving are follows:

Sauce: 8/4 = 2 cups.Oregano: 0.5/4 = 1/8 teaspoons per serving.

Hence the amounts for six servings are given as follows:

Sauce: 6 x 2 = 12 servings.Oregano: 6 x 1/8 = 6/8 = 3/4 teaspoons.

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Determine how many liters a right circular cylindrical tank holds if it is 5 m long and 13 m in diameter.
The tank holds about _____ liters of liquid.
(Round to the nearest thousand as needed.)

Answers

The right circular cylindrical tank which is 5 m long and 13 m in diameter holds about 663,325 liters of liquid approximately.

The formula to find the volume of a right cylindrical tank is

V = πr²h, where 'r' is the radius and 'h' is the height.

Given that, the height is 5 m and the diameter is 13 m.

Radius = Diameter/2.

Radius = 13/2 = 6.5 m.

We know that, π = 3.14.

Now, we can substitute the values in the formula.

V = 3.14×(6.5)²×5.

V = 3.14×6.5×6.5×5

V = 663.325 cubic meters.

Now, we have to convert cubic meters into liters.

We need to multiply by 1000 as a thousand liters are in one cubic meter.

663.325×1000 = 663,325.

Therefore, the tank holds about 663,325 liters of liquid approximately.

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Find the geometric mean of 5 and 320.

A. 35
B. 40
C. 45
D. 50

Answers

Answer: 40

Step-by-step explanation:

math

An individual depositing in a non-IRA account has to pay income taxes on the funds deposited and on interest earned in each year but does not have to pay taxes on withdrawals from the account.

Sarah, who is five years from retirement, receives a $10,000 bonus at work. She is trying to decide whether to save this extra income in an IRA account or in a regular savings account. Both accounts earn 8 percent nominal interest, and Sarah is in the 30 percent tax bracket in every year (including her retirement year)

If Sarah invests in the normal savings account, her net value (after taxes) five years from now will be?:

Answers

The net value of the $10,000 bonus in a normal savings account after taxes and interest in five years will be $9,181.

What is the net value of Sarah's $10,000 bonus in a normal savings account after taxes and interest in five years?

Assuming an 8 percent nominal interest rate and a 30 percent tax bracket, the after-tax return on the normal savings account is 5.6 percent. Thus, after five years, the $10,000 bonus will grow to $14,693.

However, since Sarah is in the 30 percent tax bracket in every year, she will owe taxes on the interest income earned each year. This reduces the after-tax return to 3.92 percent. Therefore, in five years, the $10,000 bonus in the normal savings account will be worth $9,181 after taxes.

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Area and perimeter assignment. (9th Grade geometry)

Answers

Thus, the perimeter of the shown triangle using the distance formula is found as  13.45 units.

Explain about the perimeter:

A path that encircles a region is referred to as a perimeter. Adding the lengths of every one of the sides together is the simplest formula for calculating the perimeter. The word circumference, that only encompasses a circle's perimeter, is used to describe the distance around a circle.

Given that:

coordinates of triangle: A(5,3) , B(1,5) and C(3,0)

Perimeter = sum of all sides

Perimeter = AB + BC + CA

Estimate each distance using the distance formula:

d = √(x2 - x1)² + (y2 - y1)²

AB = √(1 - 5)² + (5 - 3)²

AB = √(-4)² + (-2)²

AB = √(16 + 4)

AB = √20

BC = √(3 - 1)² + (0 - 5)²

BC = √(2)² + (-5)²

BC = √(4 + 25)

BC = √29

CA = √(5 - 3)² + (3 - 0)²

CA = √(2)² + (3)²

CA =  √(4 + 9)

CA = √13

Perimeter = AB + BC + CA

Perimeter = √20 + √29 + √13

Perimeter = 4.47 + 5.38 + 3.60

Perimeter = 13.45 units.

Thus, the perimeter of the shown triangle using the distance formula is found as  13.45 units.

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HELP QUICKLY PLEASE!!!
What are the x-intercepts of the quadratic function shown?

Answers

Answer:

D. 1,0 & -3,0

Step-by-step explanation:

because the two lines pass through points 1,0 and -3,0 at the x-axis

Answer:

your answer is D. 1,0 & -3,0

Step-by-step explanation:

pls
a golf ball is hit so that it travels a horizontal distance of 440 feet and reaches a maximum height of 190 feet

using your understanding of parametric equations for projectile motion, what is the angle the ball takes off?

Answers

The requried, quadratic equation that models the path of the golf ball, is 16.0850t² - 110.560t - 190 = 0 and the angle the ball takes off is 64.4⁰.

The motion of the golf ball can be modeled using two equations, one for the vertical motion and another for the horizontal motion.

The equation for the vertical motion of the ball is given by:

h = V₀t - ¹/₂gt²,

Using the given values, we find that,
V₀ = √(2 x 32.17 x 190) = 110.56 ft/s.

Substituting this value and the value of g into the equation of motion for the vertical direction, we get -190 = 110.56t - ¹/₂(32.17)t², which simplifies to 16.0850t² - 110.560t - 190 = 0.

The equation for the horizontal motion of the ball is given by [tex]x = V_xt[/tex], where x is the horizontal distance traveled, Vx is the initial horizontal velocity, and t is the time. Using the given value of x, we can find Vx as [tex]V_x = 440/t.[/tex]

We can then solve the quadratic equation 16.0850t² - 110.560t - 190 = 0 to find the time t of flight.
Using the formula method, we get t = 8.3 s. Substituting this value into the equation for the horizontal motion, we get [tex]V_x = 440/8.3 = 53.01 ft/s.[/tex]

Finally, we can find the angle of projection θ using the formula tan θ = [tex](V_y) / (V_x)[/tex],

tan θ = (110.56)/(53.01),

which simplifies to tan θ = 2.086. Taking the inverse tangent of both sides, we get θ = tan⁻¹(2.086) = 64.4⁰.

Therefore, the angle at which the ball takes off is 64.4⁰.

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Recite the numbers in
each row.
29
42
77
30
43
78
31 32 33
44
45 46
79
80
81
го
Copyright © A Dab of Glue W

Answers

Note to recite the numbers, you have repeat alound the tiven numbers. Often, the purpose of recitation is to memorize and become aquatinted with.

Why do a recitation ?

Recitation is often a smaller subset of a larger lecture course, commonly conducted by teaching assistants, meant to offer time for conceptual knowledge application and extension of training that happens in lecture through problem-solving or discussion.

Consider this a learning process in which knowledge is recalled from memory.

You have been handed numbers to recite in this case. Reciting numbers can help you increase your numeric intelligence.

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PLEASE HELP ME

Sophie deposited money into an account in which interest is compounded
semiannually at a rate of 2.2%. She made no other deposits or withdrawals and the
total amount in her account after 13 years was $22,099.87. How much did she
deposit? Round answer to nearest whole number. Do not include units in the
answer. Be sure to attach your work for credit.

Answers

By using compound interest formula, we conclude that Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

What is compound interest?

Compound interest is a method of calculating interest on a principal amount of money, where the interest earned on the initial principal is added to the principal at the end of each compounding period (usually monthly, quarterly, or annually).

According to given information:

We can use the formula for compound interest to solve this problem. The formula is:

[tex]A = P(1 + r/n)^{(nt)[/tex]

Where:

A = the total amount in the account

P = the principal (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

We know the values for A, r, n, and t, so we can solve for P:

[tex]A = P(1 + r/n)^{(nt)[/tex]

[tex]22,099.87 = P(1 + 0.022/2)^{(2*13)[/tex]

[tex]22,099.87 = P(1.011)^{26[/tex]

22,099.87 = 1.329P

P = 22,099.87 / 1.329

P = 16,637.55

Therefore, Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

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rationalize the denominator [tex]\frac{6}{\sqrt{x} 2\\}[/tex]

Answers

The rationalized form of the expression 6/√x is 6√x/x.

Rationalizing the denominator

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

6/√x

To rationalize the denominator of 6/√x, we can multiply both the numerator and denominator by √x.

This gives:

6/√x * √x/√x = 6√x/x

So the rationalized form of 6/√x is 6√x/x.

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The exponential function f, represented in the table, can be written as f(x)=axb^x

x l f(x)
0 l 15
1 l 9

Complete the equation for f(x)

Answers

The equation for f(x) can be written as f(x)= 15(3/5)ˣ

Define exponential function?

An exponential function is a mathematical function of the form f(x) = aˣ, where 'a' is a positive constant and 'x' is any real number. The graph of an exponential function is characterized by a rapid increase or decrease as 'x' increases or decreases, respectively. Exponential functions have many applications in fields such as finance, biology, and physics.

From this table we know this thing that when x=0, y=15

when x=1, y=9

a×b⁰=15⇒ a=15 as b⁰=1

a×b¹=9⇒ ab=9

so b=9/a

b= 9/15⇒3/5

After putting the values we get the result f(x)=15×(3/5)ˣ

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Write the equation of an exponential function that passes through the points
(1,12) and (3,108)

Answers

Answer:

[tex]f(x)=4(3)^x[/tex]

Step-by-step explanation:

The general equation for an exponential function is:

[tex]\boxed{f(x) = ab^x}[/tex]

where:

a is the initial value or y-intercept.b is the base or growth factor.

To find the values of a and b that satisfy the given conditions, we can use the two points (1, 12) and (3, 108) to form a system of equations:

[tex]\begin{cases}12 = ab^1\\108 = ab^3\end{cases}[/tex]

Divide the second equation by the first equation to eliminate a:

[tex]\dfrac{ab^3}{ab} = \dfrac{108}{12}[/tex]

[tex]b^2=9[/tex]

[tex]\sqrt{b^2}=\sqrt{9}[/tex]

[tex]b=3[/tex]

Substitute the found value of b into the first equation and solve for a:

[tex]12&=3a[/tex]

[tex]\dfrac{12}{3}=\dfrac{3a}{3}[/tex]

[tex]4=a[/tex]

[tex]a=4[/tex]

Therefore, the equation of the exponential function that passes through the points (1, 12) and (3, 108) is:

[tex]\boxed{f(x) = 4(3)^x}[/tex]

Answer:

y=4(3^x).

Step-by-step explanation:

To find the equation of an exponential function passing through the given points (1,12) and (3,108),

we can use the standard exponential form y=a(b^x). We know that when x=1, y=12,

so we can substitute these values into the equation to find a.

So  12 = a(b^1). Similarly, when x=3, y=108, so 108 = a(b^3). We can divide the second equation by the first to eliminate a and get (108/12) = b^2, or 9 = b^2. Thus, b=3 (taking only the positive root). We can now substitute this value of b into either equation to find a. Using the first equation, we get 12 = a(3^1), so a=4. Therefore, the exponential function passing through the given points is y=4(3^x).

d) If repeats are not allowed, at least one character must be a symbol and characters can be digits, lower- case letters or any of the 5 symbols !$%&*, how many passwords of length 5 can be made?​

Answers

There are 65,000 possible passwords of length 5 that can be made with no repeats allowed.

What is length?

Length is a measure of distance between two points or the extent of something along its longest dimension. It is one of the basic dimensions in geometry and can be defined as the distance between two points measured in one dimension, typically along a straight line.

Since at least one character must be a symbol, there are 5 choices for the first character. For the remaining four characters, there are 10 choices (0 to 9) for each character if digits are allowed, 26 choices (a to z) for each character if lowercase letters are allowed, and 5 choices for each character if the other symbols are allowed.

Therefore, the total number of passwords of length 5 that can be made, with no repeats allowed and at least one character being a symbol, is:

5 * (10 * 26 * 5 * 5 * 5)

Simplifying the expression, we get:

5 * (13,000)

65,000

Therefore, there are 65,000 possible passwords of length 5 that can be made with no repeats allowed, at least one character being a symbol, and characters being digits, lowercase letters, or any of the 5 symbols !$%&*.

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A right rectangular prism had a length 2 1/2yd, width 3 1/2yd, and height 1 1/2yd. You use cubes with fractional edge length 1/2yd to find the volume. How many cubes are there for each of the length, width, and height of the prism? Find the volume.

Answers

The volume of the rectangular prism is 13.125 cubic yards.

Calculating the number of cubes and the volume

To find the number of cubes that fit along the length, width, and height of the rectangular prism, we need to divide the length, width, and height by the edge length of each cube, which is 1/2yd.

Along the length: (2 1/2 yd) / (1/2 yd) = 5 cubes

Along the width: (3 1/2 yd) / (1/2 yd) = 7 cubes

Along the height: (1 1/2 yd) / (1/2 yd) = 3 cubes

Therefore, there are 5 cubes along the length, 7 cubes along the width, and 3 cubes along the height of the rectangular prism.

To find the volume of the rectangular prism, we can multiply the length, width, and height:

Volume = (2 1/2 yd) x (3 1/2 yd) x (1 1/2 yd)

Volume = (5/2 yd) x (7/2 yd) x (3/2 yd)

Volume = (13.125 yd^3)

Therefore, the volume of the rectangular prism is 13.125 cubic yards.

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f (t) = Atne(−bt)
The values A, n, and b are the parameters of the function.
This function accurately represents the way a drug interacts in the bloodstream. Studying
this function is essential to doctors and pharmacists because it allows them to administer
dosages of medicine correctly.1
A drug dose is being designed for a 90kg male patient. The amount of the drug in the
patient’s bloodstream after t hours, measured in nanograms per milliliter (ng/ml) is given
by a surge function.
Any positive value of A can be achieved by increasing or decreasing the amount of
medicine given. However, depending on the type of delayed release mechanism selected
there are choices possible for the value of the pair (n,b): The achievable pairs are listed in
the table below.
Delay Type n value b value
Extended 2 0.3
Medium 3 0.5
Rapid 3 0.7
The medical requirements for the treatment are:
• The dose (in ng/ml) may not exceed 100 at any time.
• The dose must fall to be at or below 20 ng/ml by 24 hours.
Within these parameters, the treatment effect will be measured in ng/ml-hours. (1
ng/ml concentration for 1 hour is 1 ng/ml-hour of treatment). The objective is to obtain
the maximum possible treatment effect while ensuring the requirements are met.. For each Delay Type, determine the value of A (dosage amount) that maximizes treat-
ment effect for that Delay Type while meeting medical requirements.
2. Determine which Delay Type (assuming optimal dosage) will maximize treatment ef-
fect.
3. For the Delay Type and dosage level you selected above,
(a) determine the treatment effect over the first 24 hours.
(b) determine the residual treatment effect for time after the first 24 hours

Answers

We can calculate the residual treatment effect for a time after the first 24 hours by adding up the integrals for each subsequent 24-hour period until the residual treatment effect falls to or below 20 ng/ml

How to solve

To determine the optimal dosage amount A for each Delay Type, we need to first define the surge function for each delay type as:

Extended: f(t) = [tex]At^2e^-^0^.^3^t[/tex]

Medium: f(t) = [tex]At^3e^-^0^.^5^t[/tex]

Rapid: f(t) = [tex]At^3e^-^0^.^7^t[/tex]

To find the optimal dosage amount A, we need to maximize the treatment effect while ensuring that the dose does not exceed 100ng/ml at any time and falls to be at or below 20ng/ml by 24 hours.

The treatment effect can be calculated by integrating the surge function over time from 0 to 24 hours and then adding up the integrals for each subsequent 24-hour period until the residual treatment effect falls to or below 20ng/ml

For the Delay Type and dosage level selected, we can calculate the treatment effect over the first 24 hours by integrating the surge function from 0 to 24 hours.

Then, we can calculate the residual treatment effect for a time after the first 24 hours by adding up the integrals for each subsequent 24-hour period until the residual treatment effect falls to or below 20 ng/ml..

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Type the correct answer in each box. If necessary, use / for the fraction bar. If 3 + 2i / 2 - 3i

Answers

The correct term in each box, if necessary, use / for the fraction bar are a = 1/7-4i, b = 1/13.

What is a fraction bar?

In mathematics, a fraction bar is a visual representation of fractions that facilitates fraction comparison and fraction operation. Part-to-whole representational models like fraction bars or fraction strips are used. One unit out of a whole is represented by each segment of a fraction bar.

We need to be aware of an aspect of imaginary numbers in order to determine the values of variables a and b. The following rule applies to the hypothetical unit:

Therefore, the correct terms are 1/7-4i, b = 1/13.

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need answers 5. , 6. , 7. , whoever gives all ill give brainliest!! please im gonna fail this class and im about to graduateee

Answers

Answer:

5)

$332.19

6)

$16,857.36

7)

$248.91

Step-by-step explanation:

monthly premium = Base Rate * [tex]\frac{Monthly Payroll}{100}[/tex]

5)

given:

Base rate = $2.24
Monthly payroll = $14,830.00

unknown = monthly premium

 [tex]2.24 * \frac{14,830.00}{100}[/tex] = $332.192≈$332.19

6)

given:

Base rate = $19.89
Monthly payroll = $84,752.96

unknown = monthly premium

[tex]19.89 * \frac{84,752.96}{100}[/tex] = $16,857.364≈$16,857.36

7)

given:

Base rate = $2.90
Monthly payroll = $8,582.94

unknown = monthly premium

[tex]2.90 * \frac{8,582.94}{100}[/tex]=$248.90526≈$248.91

Please help thank you

Answers

Answer:

(-2)

Step-by-step explanation:

just do -2 x-3 x than + 13 and than you will get - 2

4 William and his three friends had lunch at a restaurant. They split the bill
equally. The total bill was $34. They left a 15% tip. How much would each person
pay?
9x
omission for?

Answers

Answer:

$9.10 per person

Step-by-step explanation:

34 / 4 is 8.50

15% is 2.40, then divided 2.40 by 4 and get 0.60.

0.60 + 8.50 = 9.10 per person

What is the best type of graph for the data set below?

Answers

The best type of graph for the data set below is a bar graph. So the correct option is A.

Describe bar graph

The pictorial representation of data which is generally grouped, in the form of vertical or horizontal rectangle-shaped bars is called a bar graph. In this type of graph, the length of bars is a representation of the measure of data. They are also called bar charts. In statistics, bar graphs are one of the ways of data handling.

Statistics is the collection, presentation, analysis, organization, and interpretation of data observations. There are various methods for the representation of this statistical data. These can be tables, bar graphs, pie charts, histograms, frequency polygons, etc.

There are three main characteristics of bar graphs. These are:

It helps in comparing the different sets of data among different groups.

The relationship using two axes is shown where the categories are on one axis and the values are on the other axis.

Major changes in data over time are shown.

Therefore the correct option is A.

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