PLS SOLVE QUICKLY:

u/p +u/q = m, if, p is not equal to -q

Answers

Answer 1

Answer:

4n r+

Step-by-step explanation:

Try using calculator cause I seen this before.


Related Questions

2.5(x – 4) = -60

Which one is it -28 -25.6 -22.4 or -20

Answers

Answer:

x = -20

Step-by-step explanation:

2.5(x - 4) = -60

~Distribute left side

2.5x - 10 = -60

~Add 10 to both sides

2.5x = -50

~Divide 2.5 to both sides

x = -20

Best of Luck!

Pleaseeeeeee..........​

Pleaseeeeeee..........

Answers

Answer:

can u give it in properway image so I can tell u

Answer:

>Name all sides of the red triangle

•side AB, side AC, and side BC (the side's symbol is a line on the top of the AB, AC, BC)

>Name all the angles

• ∠ABC, ∠CBA,

>Name all vertices

•A, B, and C

State if the three numbers can be the measures of the sides of a triangle. Show your work
1) 7,2,6
2) 11,2,11

State if the three numbers can be the measures of the sides of a triangle. Show your work1) 7,2,62) 11,2,11

Answers

Answer: 2

Step-by-step explanation:

Answer is 2 (11,2,11)

2.
What is the slope of the line whose equation is
y = 2x - 102
A
B. 2
C. 5
D. - 10

Answers

Answer:

2

Step-by-step explanation:

y=mx + b where m is the slope.

m = 2 in this instance.

So the slope is 2.

Answer: btw is B

Step-by-step explanation:

The sequence shown below is defined using a recursion formula. Write the first four terms of the sequence.
a1=10 and an-1+3 for n is greater than and equal to 2

Answers

Answer:  10, 13, 16, 19

Explanation:

The notation \(a_1 = 10\) says that the first term is 10.

The notation \(a_n = a_{n-1}+3\) is the recursive rule that says "to find the nth term, we add 3 to the previous term". So we add 3 to each term to get the next one.

first = 10second = first+3 = 10+3 = 13third = second+3 = 13+3 = 16fourth = third + 3 = 16+3 = 19

This sequence is arithmetic due to the common difference d = 3.

Answer:

Step-by-step explanation:

a1=10

a_{n}=a_{n-1}+3

n=2

\(a_{2}=a_{1}+3=10+3=13\\n=3\\a_{3}=a_{2}+3=13+3=16\\n=4\\a_{4}=a_{3}+3=16+3=19\\first~four~terms~are\\10,13,16,19\)

Quiz Active
1
2
B
8
The figure shows five points. A point has been translated right and up.
D
9 10
Based on the graph, which statements about the points could be true? Check all that apply.

Answers

The point (5, 10) has not been translated in the given figure.Hence this statement is false.

The graph shows five points.

A point has been translated right and up.

Now, the statements that are true based on the graph are as follows:

The point (9, D) has been translated right and up.Answer: False

There is no information given about point (9, D).

So, we cannot say anything about the translation of point (9, D).

The point (1, 8) has been translated right and up.Answer: True

As explained above, the point (1, 8) has been translated 7 units to the right and 2 units up to get the new point (8, 10). So, this statement is true.

The point (2, 9) has been translated right and up.Answer: False

The point (2, 9) has not been translated in the given figure.

So, this statement is false.

Statement 4: The point (8, B) has been translated right and up.Answer: True

The point (8, B) has been translated 1 unit up in the given figure. So, this statement is true.

The point (5, 10) has been translated right and up.Answer: False

The point (5, 10) has not been translated in the given figure.

So, this statement is false.

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The area of a square is 144 square meters. What is the length (in meters) of one side of the square?

Answers

Answer:

12 m

Step-by-step explanation:

area = (side)²

(side)² = area

√(side)² = √(area)

side = √(area)

side = √(144 m²)

side = 12 m

a. esteban-perez and j. m. morales ´ , distributionally robust stochastic programs with side information based on trimmings, mathematical programming, (2022).

Answers

Distributionally robust stochastic programs with side information based on trimmings

This is a research paper whose authors are Adrián Esteban-Pérez and Juan M. Morales.

Abstract:

We look at stochastic programmes that are conditional on some covariate information, where the only knowledge of the possible relationship between the unknown parameters and the covariates is a limited data sample of their joint distribution. We build a data-driven Distributionally Robust Optimization (DRO) framework to hedge the decision against the inherent error in the process of inferring conditional information from limited joint data by leveraging the close relationship between the notion of trimmings of a probability measure and the partial mass transportation problem.We demonstrate that our technique is computationally as tractable as the usual (no side information) Wasserstein-metric-based DRO and provides performance guarantees. Furthermore, our DRO framework may be easily applied to data-driven decision-making issues involving tainted samples. Finally, using a single-item newsvendor problem and a portfolio allocation problem with side information, the theoretical findings are presented.

Conclusions:

We used the relationship between probability reductions and partial mass transit in this study to give a straightforward, yet powerful and creative technique to expand the usual Wasserstein-metric-based DRO to the situation of conditional stochastic programming. In the process of inferring the conditional probability measure of the random parameters from a limited sample drawn from the genuine joint data-generating distribution, our technique generates judgments that are distributionally resilient to uncertainty. In a series of numerical tests based on the single-item newsvendor issue and a portfolio allocation problem, we proved that our strategy achieves much higher out-of-sample performance than several current options. We backed up these actual findings with theoretical analysis, demonstrating that our strategy had appealing performance guarantees.

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A pizza parlor offers 4 different pizza toppings. How many different kinds of 2-topping pizzas are available?

Answers

Answer:

you need to be more specific.

Step-by-step explanation:

\(-\frac{1}{3} xz(-9xy+15yz)+3x^{2} (2yz^{2} -yz)\)

Answers

( 6^2yz^2-5xyz^2 ) is the awnser

39.
Gregory planted a lemon tree in his back yard. When he planted the tree, it was 2 feet tall. He noticed that it has been growing
eTool (Desmos) Homework Help
a. Create multiple representations (→y table, graph, and equation) to represent the relationship between the days that ha
tree.
b. If the tree continues growing at this rate, when will it be 6 feet tall? How can you see this in each of the representations?
c. State the possible inputs and outputs of the graph.

Answers

A create multiple rep graph an equation

(0)
A production line operates for two eight-hour shifts each day. During this time, the production line is expected to produce 3,000 boxes. What is the takt time in minutes?
Group of answer choices
.25
.3
3
.6

Answers

The expected number of boxes to be produced is given as 3,000 boxes. So, the correct answer is 0.3, indicating that the takt time in minutes is 0.3 minutes.

The production line operates for two eight-hour shifts each day, which means there are 16 hours of production time available. Since there are 60 minutes in an hour, the total available time in minutes would be 16 hours multiplied by 60 minutes, which equals 960 minutes.

The expected number of boxes to be produced is given as 3,000 boxes.

To calculate the takt time in minutes, we divide the total available time (960 minutes) by the expected number of boxes (3,000 boxes):

\(Takt time = Total available time / Expected number of boxes\)

\(Takt time = 960 / 3,000\)

By performing the calculation, we find that the takt time is approximately 0.32 minutes, which is equivalent to 0.3 minutes rounded to one decimal place.

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what is the approximate length of arc s on the circle below? use 3.14 for . round your answer to the nearest tenth. 5.6 in. 6.3 in. 14.3 in. 25.1 in.

Answers

The approximate length of arc is 2.2

We can find the approximate length of arc s on the circle given below by using the formula given below:

arc length = θ/360° × 2πr Where,θ = central angle of the arc in degrees r = radius of the circle

Given that, radius of the circle = 5.6 in and central angle of the arc is 75°.

Therefore, the approximate length of arc s on the circle is as follows:

arc length = θ/360° × 2πr

arc length = 75/360° × 2 × 3.14 × 5.6

arc length = 0.208 × 2 × 3.14 × 5.6

arc length = 2.19 (rounded to nearest tenth)

Therefore, the approximate length of arc s on the circle is 2.2 in.

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Hi, good morning. i will give u brainlest if u help me thanks and if u get the answer correct.

Hi, good morning. i will give u brainlest if u help me thanks and if u get the answer correct.

Answers

Hello!

Total brownies: 16 (so that's the denominator of the fraction)

Brownies with nuts: 6 (that's the numerator of our fraction)

The fraction is:

\(\bf{\displaystyle\frac{6}{16}}\)

Divide the numerator (6) and denominator (16) by 2:

\(\bold{\displaystyle\frac{3}{8}}\)

That's the answer.

I hope everything is clear.

Let me know if you have any questions!

#KeepLearning :-)

Answer:

\(\frac{3}{8}\)

Step-by-step explanation:

⇒ Given:

Conner made 16 brownies.

Put nuts on 6 brownies.

⇒ To Find:

Write the simplified fraction of the brownies that had nuts.

⇒ Solution:

Since Conner made 16 brownies:

16 brownies is the total also known as denominator of a fraction.

Since, Conner put nuts on 6 brownies:

6 brownies is the ones that has nuts also known as numerator of a  fraction.

Thus, the fraction is \(\frac{6}{16}\).

It a even number thus, we can simplify:

\(\mathrm{Factor\:the\:number:\:}\:6=2\cdot \:3\)

\(=\frac{2\cdot \:3}{16}\)

\(\mathrm{Factor\:the\:number:\:}\:16=2\cdot \:8\)

\(=\frac{2\cdot \:3}{2\cdot \:8}\)

\(\mathrm{Cancel\:the\:common\:factor:}\:2\)

\(=\frac{3}{8}\)

Therefore, the simplify fraction of the brownies that had nuts is \(\frac{3}{8}\)

`~lenvy~`


True or False? (-x)^6 = -x^5 Explain your
answer (use either words or an example).

Answers

Answer:

False

Step-by-step explanation:

\((-x)^{6}\) = \(x^{6}\)

- \(x^{5}\) = - \(x^{5}\)

Thus

\((-x)^{6}\) ≠ - \(x^{5}\)

when two fractions are added the result is 3/5 if 23/25 is one of the fractions find the other fraction​

Answers

Answer:

-8/25

Step-by-step explanation:

Since the sum of two fractions x and 23/25 is 3/5, the formula for finding x would be 3/5 - 23/25 = x. Simply calculate this and we get -->

-8/25

hope this helps!

Answer:

x = -8/25

Step-by-step explanation:

x + 23/25 = 3/5

Get a common denominator

x + 23/25 = 3/5 *5/5

x + 23/25 = 15/25

Subtract 23/25 from each side

x = 15/25 - 23/25

x = -8/25

what is the complementary strand of dna that goes with the following strand of dna ATTCGGCAT

Answers

TAAGCCGTA is the right answer

Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = n^3 / 4n^3 + 1 lim n rightarrow infinity an = Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = 3^n + 3 /4^n lim n rightarrow infinity an =

Answers

a) For the sequence {an}, where an = n^3 / (4n^3 + 1), the sequence converges to a limit of 1/4.

b) For the sequence {an}, where an = (3^n + 3) / 4^n, the sequence converges to a limit of 0.

For the sequence {an}, where an = n^3 / (4n^3 + 1), we can see that both the numerator and the denominator are polynomials in n with the same degree of 3. Thus, we can apply the ratio test to determine whether the series converges or diverges.

Taking the limit of the ratio of consecutive terms as n approaches infinity, we have

\(\lim_{n \to \infty}\) |(an+1 / an)|

= \(\lim_{n \to \infty}\) |((n+1)^3 / (4(n+1)^3 + 1)) / (n^3 / (4n^3 + 1))|

= \(\lim_{n \to \infty}\) |((n+1)^3 / n^3) * ((4n^3 + 1) / (4(n+1)^3 + 1))|

= \(\lim_{n \to \infty}\) |(1 + 1/n)^3 * (4n^3 + 1) / (4n^3 + 12n^2 + 12n + 5)|

= 1/4 < 1

Since the limit of the ratio of consecutive terms is less than 1, the series converges by the ratio test. To find the limit, we can use algebraic manipulation to simplify the expression for an:

an = n^3 / (4n^3 + 1)

= 1 / (4 + 1/n^3)

As n approaches infinity, 1/n^3 approaches zero, and so an approaches 1/4. Therefore, the limit of the sequence is

\(\lim_{n \to \infty}\) an = 1/4.

b) For the sequence {an}, where an = (3^n + 3) / 4^n, we can also apply the ratio test

\(\lim_{n \to \infty}\) |(an+1 / an)|

= \(\lim_{n \to \infty}\) |((3^(n+1) + 3) / 4^(n+1)) / ((3^n + 3) / 4^n)|

= \(\lim_{n \to \infty}\) |(3^(n+1) + 3) / (4 * (3^n + 3))|

= 3/4

Since the limit of the ratio of consecutive terms is less than 1, the series converges by the ratio test. To find the limit, we can observe that

an = (3^n + 3) / 4^n

= (3/4)^n + 3/4^n

As n approaches infinity, the first term approaches 0, and the second term approaches 0. Therefore, the limit of the sequence is

\(\lim_{n \to \infty}\) an = 0 + 0 = 0.

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Fill The Blank ?a function is a rule that assigns to each value of the_____

Answers

In essence, a function is a rule that assigns to each value of the input set (also known as the domain), a unique value of the output set (also known as the range).

A function is a fundamental mathematical concept that is used to describe the relationship between two sets of values.

To understand the idea of a function, imagine a machine that takes in an input and produces an output. The input values are the domain of the function, and the output values are the range. A function can be represented as an equation, a graph, or a table. For example, the equation f(x) = x + 3 represents a function that takes in an input value x and produces an output value that is 3 greater than the input value.

One of the key features of a function is that each input value must have a unique output value. This means that if you input the same value into the function twice, you should get the same output value both times. In mathematical terms, we say that a function is well-defined if it has a unique output value for each input value.

Functions are used in a wide range of mathematical applications, from algebra and calculus to statistics and data analysis. They provide a powerful tool for describing and analyzing relationships between different sets of values.

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The website for company A recieves 8x10(6) visitors per year. The website for company recieves 4x10(3) visitors per year.
determine how many times more visitors per year the website for company a recieves than the website for company B.

PLEASE ANSWER ASAP​

Answers

On solving the provide question, we can say that by linear equation the value  2000 times

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

\(8*10^6/(4*10^3)\\=(8/4)*(10^6/10^3)\\=2*(10^3)\\=2*1000\\=2000 times\)

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Measuring the Wind Speed of a HurricaneWhen measuring the wind speed of a hurricane or similar storm, meteorologists don’t want to get hit by flying debris. They use a measure available to them in the comfort of their TV studio. Luckily for the meteorologists, the barometric pressure is linearly related to the wind speed.Suppose scientists compared the wind speeds and barometric pressure readings of two severe storms over the Atlantic Ocean. For one of the storms, the barometric pressure was 1,000 mb (millibars), and the maximum wind speed was 100 kmh (kilometers per hour). The second had a barometric pressure of 960 mb and maximum wind speeds of 180 kmh. (a)Develop a rule that you could use to predict the wind speed given any barometric pressure.(b)Use your rule to predict the wind speed of a hurricane with a barometric pressure of 980 mb. Using what you know about linearity, explain why your prediction is reasonable. (c)Interpret the intercept for wind speed in this context (i.e., as it pertains to the weather).(d)Explain the meaning of slope in this context.

Answers

Answer:

So i found the teacher notes after hours of looking here are the exact answers so i would recommend changing the wording.

Part A: Ordered pairs in the form (mb, kmh): (1,000, 100) and (960,180) Let X be the barometric pressure and Y be the wind speed.

Slope= (180-100)

          ----------------    = -2

          (960-1000)

Formula: y=-2(x-1000)+100

Part B: y=-2(980-1000)+100=140

140 kmh is reasonable. Because 980 mb is halfway between 960 mb and 1000 mb, we should expect a wind speed halfway between 180 kmh and 100 kmh.

Part C: The wind speed intercept is (0,2100) [or (2100,0) if written that way.] This means that when brometric pressure is 0 mb, then the wind speed would be 2100 kmh. However in the context of real weather, this is an impossible situation.

Part D: The slope means that every decrease of 2 kmh in wind speed corresponds to a 1 mb increase in barometric pressure.

hoped this helped :)

Convert 3.9m^2 into cm^2

I will leave good review!

Convert 3.9m^2 into cm^2I will leave good review!

Answers

Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.

which of the following is not important when developing a multiple-year operating forecast?

Answers

When developing a multiple-year operating forecast, all of the following factors are typically important:

1. Historical Data: Analyzing past performance and trends is crucial for understanding the company's financial position and making informed projections.

2. Market Analysis: Evaluating the current market conditions, industry trends, and competitive landscape helps identify opportunities and potential risks that can impact the forecast.

3. Strategic Goals and Objectives: Aligning the forecast with the organization's long-term goals and objectives ensures that it supports the company's overall strategic direction.

4. Economic Factors: Considering macroeconomic indicators such as GDP growth, inflation rates, interest rates, and exchange rates helps anticipate how the broader economy might affect the business.

5. Internal Factors: Assessing internal factors like sales pipelines, production capacity, staffing levels, and operational efficiencies allows for a more accurate forecast based on the company's specific capabilities.

6. Assumptions and Scenarios: Developing a range of scenarios based on different assumptions helps account for uncertainties and provides a comprehensive view of potential outcomes.

7. Financial Analysis: Conducting financial analysis, including ratio analysis, cash flow projections, and profitability assessments, helps validate the feasibility and sustainability of the forecast.

Given that all the factors mentioned above are important for developing a multiple-year operating forecast, none of them can be considered unimportant in this context.

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Vectors M and N obey the equation M +N -0. These vectors satisfy which one of the following statements? A) Vectors M and N are at right angles to each other. B) Vectors M and N point in the same direction. C) Vectors Mand N have the same magnitudes. D) The magnitude of M is the negative of the magnitude of N

Answers

The equation M + N = 0 implies that vectors M and N are additive inverses of each other, meaning that when added together, they cancel each other out and result in the zero vector. This also means that they have the same magnitude, but point in opposite directions.

Therefore, statement C is true, while A, B, and D are not. Statement A cannot be true because vectors at right angles to each other have a dot product of zero, but the given equation implies that their dot product is -1 (since M and N are additive inverses).

Statement B cannot be true because vectors pointing in the same direction have the same direction, but the given equation implies that they have opposite directions. Finally, statement D cannot be true because the magnitudes of both vectors are the same (as per the given equation) and cannot be negative.

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Which expression is equivalent to 2(3x + 4y + x)?

Answers

\(\huge\textsf{Hey there!}\)

\(\large\text{2(3x + 4y + x)}\)

\(\large\textsf{DISTRIBUTE 2 WITHIN the PARENTHESES}\)

\(\large\text{2(3x) + 2(4y) + 2(x)}\)

\(\large\text{2(3x) = \boxed{\bf 6x }}\)

\(\large\text{6x + 2(4y) + 2(x)}\)

\(\large\text{2(4y) = \boxed{\bf 8y}}\)

\(\large\text{6x + 8y + 2(x)}\)

\(\large\text{2(x) = \boxed{\bf 2x}}\)

\(\large\text{6x + 8y + 2x}\)

\(\large\textsf{COMBINE the LIKE TERMS}\)

\(\large\text{(6x + 2x) + (8y)}\)

\(\large\text{6x + 2x = \boxed{\bf 8x}}\)

\(\large\text{8x + 8y}\)

\(\boxed{\boxed{\large\text{Answer: \huge \bf 8x + 8y}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

-4y + 7z + 2y - 10z

please help!!!

Answers

Answer:

-2y - 3z :)))))))))))))

Answer:

-2y - 3z

Step-by-step explanation:

What is the conditional probability that, when flipping a non-biased coin four times, there are at least two hs, given that the first flip is a h?

Answers

The conditional probability that, when flipping a non-biased coin four times, there are at least two heads, given that the first flip is a head, is 3/4.

Calculating the Conditional Probability:

Let us assume that getting a head in the first flip of coin is event B

Also, let us assume that getting a head in on of the remaining three flips is A

Then we have to find the probability of A given B, that is, P(A|B).

The formula for conditional probability is given as follows,

P(A|B) = P (A∩B) / P(B)

The probability of getting two heads, P(A∩B) = 3/8

The probability of getting head in the first flip, P(B) = 1/2

∴ P(A|B) = (3/8) / (1/2)

P(A|B) = 3/4

Thus,  the conditional probability of getting at least two heads, given that the first flip is a head is 3/4.

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Solve: -8 = -7 + X x =

Answers

-8 = -7 + X

- 8 + 7 = X (Adding 7 to both sides of the equation)

-1 =x (Subtracting)

The answer is x=-1.

the answer of -8 = -7 +Xx is x= -1

Find the solution of the initial value problem 9y" — 10y' + y = 0, y(0) = 9,v′ (0) = 1. Then determine the maximum value M of the solution and also find the point where the solution is zero. y(t) M: = || The point where the solution is zero is

Answers

In this problem, we are given a second-order linear homogeneous differential equation, also known as an initial value problem. We need to find the solution to the given differential equation, satisfying the initial conditions y(0) = 9 and y'(0) = 1. Additionally, we are asked to determine the maximum value of the solution and find the point at which the solution is zero.

Let's solve the initial value problem step by step.

Step 1: Find the characteristic equation.

The characteristic equation is obtained by substituting y = \(e^{rt}\) into the differential equation, where r is an unknown constant:

9y" - 10y' + y = 0

Substituting y = c into the equation, we get:

9r²\(e^{rt}\)  - 10(r\(e^{rt}\) ) + \(e^{rt}\)  = 0

Step 2: Simplify the equation.

Divide the entire equation by \(e^{rt}\)  to simplify it:

9r² - 10r + 1 = 0

Step 3: Solve the quadratic equation.

We can solve the quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, it is easier to use the quadratic formula:

r = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 9, b = -10, and c = 1.

Substituting these values into the quadratic formula, we have:

r = (-(-10) ± √((-10)² - 4 * 9 * 1)) / (2 * 9)

 = (10 ± √(100 - 36)) / 18

 = (10 ± √64) / 18

 = (10 ± 8) / 18

We have two possible solutions for r:

r₁ = (10 + 8) / 18 = 18 / 18 = 1

r₂ = (10 - 8) / 18 = 2 / 18 = 1/9

Step 4: Write the general solution.

The general solution of the differential equation is given by:

y(t) = c₁\(e^{r_{1} t}\) + c₂\(e^{r_2t}\)

where c₁ and c₂ are constants that will be determined using the initial conditions.

Step 5: Apply the initial conditions.

We are given y(0) = 9 and y'(0) = 1. Let's apply these initial conditions to find the specific solution.

When t = 0:

y(0) = c₁\(e^{{r_1} * 0}\) + c₂\(e^{{r_2} * 0}\)

      = c₁e⁰ + c₂e⁰

      = c₁ + c₂

Since y(0) = 9, we have:

c₁ + c₂ = 9 ---(1)

Differentiating y(t) with respect to t gives:

y'(t) = c₁r₁\(e^{r_2t}\) + c₂r₂\(e^{r_2t}\)

When t = 0:

y'(0) = c₁r₁\(e^{{r_1} * 0}\) + c₂r₂\(e^{{r_2} * 0}\)

= c₁r₁ + c₂r₂

Since y'(0) = 1, we have:

c₁r₁ + c₂r₂ = 1 ---(2)

Solving equations (1) and (2) simultaneously will give us the values of c₁ and c₂.

Step 6: Solve the system of equations.

We have the following system of equations:

c₁ + c₂ = 9

c₁r₁ + c₂r₂ = 1

Multiplying the first equation by r₁ and the second equation by 1, we can eliminate c₂:

c₁r₁ + c₂r₁ = 9r₁

c₁r₁ + c₂r₂ = 1

Subtracting the second equation from the first, we obtain:

c₂(r₁ - r₂) = 9r₁ - 1

Since r₁ - r₂ = 1 - 1/9 = 8/9, we can rewrite the equation as:

c₂ = (9r₁ - 1) / (8/9)

   = (9r₁ - 1) * (9/8)

   = (9r₁² - r₁) * (9/8)

Substituting this value of c₂ into equation (1), we get:

c₁ + (9r₁² - r₁) * (9/8) = 9

Simplifying the equation further, we have:

c₁ + (81r₁² - 9r₁) / 8 = 9

c₁ + 81r₁² - 9r₁ = 72

Rearranging the terms, we obtain:

81r₁² - 9r₁ + c₁ = 72

This equation relates the values of r₁ and c₁ that satisfy the initial conditions.

Step 7: Calculate the specific solution.

By solving the equation derived in step 6, we can find the values of r₁ and c₁. Once we have those, we can determine c₂ using equation (2).

After finding the values of c₁ and c₂, the specific solution of the initial value problem is given by:

y(t) = c₁\(e^{r_{1} t}\) + c₂\(e^{r_2t}\)

Step 8: Determine the maximum value of the solution.

To find the maximum value of the solution, we need to analyze the behavior of the function y(t) in the given range. Since we have the specific solution, we can analyze its properties using calculus. We need to find the critical points and classify them as local maximums, local minimums, or points of inflection.

Step 9: Find the point where the solution is zero.

To find the point(s) where the solution is zero, we need to solve the equation y(t) = 0. This can be done by setting the specific solution equal to zero and solving for t.

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Answers

Answer:

A is the only correct answer

Step-by-step explanation:

i hope this helps, mark brainliest if so!

Answer:

A

Step-by-step explanation:

bigger negative numbers are actually lower

ex: -3 is less than -1. when your doing positive numbers, 3 is more than 1

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