Giving Brainliest Answer to whoever answers first! (I need it answered ASAP!!!)
Write a real-life story that models the following equation;
y=1/2x + 4 y= -2x +14
(Solve by Graphing)
I already know the answer to that problem, it's (4,6) if that helps, but I just need a story.
Thank You!

Answers

Answer 1

The real-life story that models the system of equations is shown below

Writing a real-life story for the equations

From the question, we have the following system of equations that can be used in our computation:

y = 1/2x + 4

y = -2x + 14

There are several real life stories we can use

One of them is as follows

Ridwan has $4 in his savings account and saves 50 cents every week. Lanre has $14 in his savings accounts and withdraws $2 every week.

Calculate the number of weeks where both would have the same amount in their accounts

The graph of the scenario is attached and the solution is (4, 6)

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Giving Brainliest Answer To Whoever Answers First! (I Need It Answered ASAP!!!) Write A Real-life Story

Related Questions

For each quadratic equation, decide whether it has two solutions, one solution, or no solutions. Explain how you know.
x^2=-16
x(x+2)=0
(x−3)(x−3)=0

Answers

[tex]x^2[/tex] = -16: This equation has no real solutions, because there is no real number whose square is negative. We can see this by recognizing that x^2 is always non-negative for any real number x, so it is impossible for x^2 to equal -16.

x(x+2) = 0: This equation has two solutions, namely x=0 and x=-2. We can see this by using the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. In this case, we have x(x+2) = 0, so either x=0 or x+2=0, which gives x=-2.

(x-3)(x-3) = 0: This equation has one solution, namely x=3. We can see this by using the zero product property again, which tells us that if the product of two factors is zero, then at least one of the factors must be zero. In this case, we have (x-3)(x-3) = 0, so either x-3=0, which gives x=3.

Thus, since we have the factor (x-3) twice, we only count it once as a solution.

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The height in feet of the curved roof of an aircraft hangar can be modeled by y=-0. 02x^2+1. 6x, where x is the horizontal distance in feet from one wall at ground level. What is the greatest height of the hangar?

Answers

The greatest height of the hangar is 32 feet.

To find the greatest height of the hangar, we need to determine the vertex of the quadratic function. The vertex represents the maximum point of the curve.

The equation of the curve is given by:

y = -0.02x^2 + 1.6x

The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

For our equation, a = -0.02 and b = 1.6. Substituting these values into the formula:

x = -1.6 / (2 * -0.02)

x = -1.6 / -0.04

x = 40

Now we have the x-coordinate of the vertex, which is 40. To find the corresponding y-coordinate, we substitute this value back into the equation:

y = -0.02(40)^2 + 1.6(40)

y = -0.02(1600) + 64

y = -32 + 64

y = 32

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What are the key guidelines for p-value?

Answers

The significance level, account for multiple testing, and recognize the limitations and context when interpreting p-values.

The p-value is a crucial concept in statistical hypothesis testing. It refers to the probability of observing a test statistic as extreme as or more extreme than the one observed, given that the null hypothesis is true.

In other words, it is the probability of obtaining the observed result by chance, assuming that there is no true effect.
There are several key guidelines that researchers need to keep in mind when interpreting p-values.

This threshold should not be taken as a hard-and-fast rule and other factors such as the study design sample size and effect size should also be considered.
Secondly, the p-value alone cannot determine the validity or importance of a research finding.

It is just one piece of evidence that needs to be considered along with other factors, such as the magnitude of the effect, the precision of the estimates, the plausibility of alternative explanations, and the practical implications of the findings.
Thirdly, the p-value can be influenced by various factors, such as the choice of statistical test, the assumptions made about the data, and the presence of outliers or influential observations.

Therefore,

Researchers should always report the assumptions and limitations of their analyses and consider conducting sensitivity analyses to test the robustness of their results.
In summary,

The key guidelines for interpreting p-values include understanding their meaning and limitations, considering other factors in addition to p-values, and being aware of the factors that can influence their interpretation.

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What is the equation of the line shown in the graph? Drag and drop the expressions to write the equation of the line in slope-intercept form. y = 2x 4x -2x - 4x -2 4 4.07 Unit Test: Li 2​

Answers

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture above

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{(-2)}}}{\underset{\textit{\large run}} {\underset{x_2}{-1}-\underset{x_1}{(-3)}}} \implies \cfrac{2 +2}{-1 +3} \implies \cfrac{ 4 }{ 2 } \implies 2[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-3)}) \implies y +2 = 2 ( x +3) \\\\\\ y+2=2x+6\implies {\Large \begin{array}{llll} y=2x+4 \end{array}}[/tex]

Answer:y=2x+4

Step-by-step explanation:

Take the points (-3,-2) and (-1,2) and find the slope

the slope formula is y^2-y^1/x^2-x^1
2--2/-1--3

2 subtraction signs next to each other make a positive sign

2+2/-1+3=4/2=2

y=2x+b

Take one of the points and plug it in, I'll use (-1,2)

2=2(-1)+b

2=-2+b

Add 2 on each side to get b alone

2+2=-2+2+b

4=b

The table lists some trees that are in two city parks. Let R be the set of trees in Riverside PArk, and S be the set of trees in SLeepy Hollow Park. Find the smallest universal set U that contains all listed trees of both options.
...

Answers

The smallest universal set U that contains all the listed trees in both Riverside Park and Sleepy Hollow Park is the union of sets R and S. It includes all the trees present in both parks.

What is the minimal universal set that encompasses all the listed trees in Riverside Park and Sleepy Hollow Park?

To find the smallest universal set, we need to create a set that includes all the unique trees from both parks without any duplicates.

To create the smallest universal set, we need to combine the sets of trees from Riverside Park and Sleepy Hollow Park into one set, removing any duplicate entries.

This will give us a set that includes all the unique trees from both parks, which is the minimum universal set we are looking for. This can be done using the union operation on sets.

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You perform a Chi-Square test and obtain a p-value lower than 0.01. What does that mean?

Answers

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Show that the numbers are all rational by writing each number as a ratio of integers.
0.73737373...

Answers

The repeating decimal 0.73737373... is rational and can be expressed as the ratio of two integers, 73 and 99.

To show that the number 0.73737373... is rational, we need to express it as a ratio of two integers. Let's call the repeating decimal x.

First, we'll multiply both sides of the equation x = 0.73737373... by 100 to get rid of the decimal point:

100x = 73.737373...

Next, we'll subtract x from 100x:

100x - x = 73.737373... - 0.73737373...

Simplifying the right-hand side, we get:

99x = 73

Dividing both sides by 99, we obtain:

x = 73/99

Therefore, we have shown that the repeating decimal 0.73737373... is rational and can be expressed as the ratio of two integers, 73 and 99.

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Help me on this question please!

Answers

Answer: B

Step-by-step explanation:

y's will eliminate because coefficients have opposite signs and if you added the equations as is the y's would eliminate you would get

2x=8

Effect of adding rows or multiples of rows to eachother on determinant

Answers

When a multiple of a row is added to another row, then the determinant does not change.

When we consider two matrices P and Q,

Suppose that a multiple of a row in A is added with another row which results in the matrix B.

Let the determinant of A = x.

Then the determinant of B will also be not changing.

It will also be equal to x.

So the determinant remains unchanged.

Hence when a multiple of a row is added to another row, then the determinant does not change.

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1. Domain is all real numbers except ____
2. Range is all real numbers except ____
3. Interval of decrease is all real numbers except ____
4. Horizontal asymptote: ____
5. Vertical asymptote: ____
6. Hole at x = ____

Answers

1. The domain is all real numbers except x = 3, since at x = 3, the denominator becomes zero, and the function becomes undefined.

2. The range is all real numbers except y = 4, since the function can take any other real value.

3. The function is continuous and decreasing on the intervals (-∞, 3) and (3, ∞), so the interval of decrease is all real numbers except x = 3.

4. The horizontal asymptote is y = 0, since as x approaches positive or negative infinity, the function approaches zero.

5. The vertical asymptote is x = 3, since the denominator becomes zero at x = 3, and the function becomes undefined.

6. There is a hole in the graph at x = 3, since the function is undefined at this point. However, the hole can be "filled" by simplifying the function to (2x - 6)/(x - 3) and noting that the factor (x - 3) cancels out, leaving the function equal to 2 for all x not equal to 3.

Stephanie had 7/8 pounds of birdseed use 3 pounds to fill the birdfeeder how much birdseed does Stephanie have left

Answers

Stephanie has 5/8 pounds of birdseed left.

If Stephanie had 7/8 pounds of birdseed and used 3 pounds to fill the birdfeeder, she used 7/8 - 3 = -1 1/8 pounds of birdseed, which is not possible. Therefore, we assume that Stephanie had 7/8 pounds of birdseed and used 7/8 - 3/8 = 4/8 pounds of birdseed to fill the birdfeeder.

Subtracting the amount used from the initial amount, we get: 7/8 - 4/8 = 3/8 pounds of birdseed left.

Therefore, Stephanie has 5/8 pounds of birdseed left (since 7/8 - 4/8 = 3/8, and 1 - 3/8 = 5/8).

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"Let f be the function given by f(x) = (x² + x) cos(5x).
What is the average value of f on the closed interval [2, 6]?" A -7.392 B -1.848 С 0.722 D 2.878

Answers

The answer is A.To find the average value of a function f(x) on a closed interval [a,b], we use the formula:

1/(b-a) ∫[a,b] f(x) dx

In this case, we need to find the average value of the function f(x) = (x² + x) cos(5x) on the closed interval [2,6]. So, we plug in the values of a and b:

1/(6-2) ∫[2,6] (x² + x) cos(5x) dx

Simplifying this expression, we get:

1/4 ∫[2,6] (x² + x) cos(5x) dx

Now, we need to evaluate the integral. We can use integration by parts to do this:

u = (x² + x)   dv = cos(5x) dx
du/dx = 2x + 1   v = (1/5) sin(5x)

∫(x² + x) cos(5x) dx = (x² + x)(1/5) sin(5x) - ∫(2x + 1)(1/5) sin(5x) dx

= (x² + x)(1/5) sin(5x) - (2/25) cos(5x) - (1/25) x sin(5x) + C

Plugging in the limits of integration, we get:

1/4 [(6² + 6)(1/5) sin(30) - (2/25) cos(30) - (1/25) (6) sin(30) - (2² + 2)(1/5) sin(10) + (2/25) cos(10) + (1/25) (2) sin(10)]

Simplifying this expression, we get:

-7.392

So, the average value of f(x) on the closed interval [2,6] is -7.392. Therefore, the answer is A.

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If A ∈ R mxn, m>n, and Ax=0 does not have a non-trivial solution, how many pivot columns does A have?

Answers

The number of pivot columns in a matrix is equal to the rank of the matrix.

Therefore, A has n pivot columns.

Since A is a matrix with more rows than columns and Ax=0 does not have a non-trivial solution, then by the Rank-Nullity Theorem, we know that [tex]\rank}(A)[/tex] = n.

Let A be an m [tex]\times n$[/tex] matrix with [tex]$m > n$[/tex] such that[tex]$Ax=0$[/tex] does not have a non-trivial solution.

We want to determine the number of pivot columns of A.

Suppose that A has k pivot columns, where [tex]$0 \leq k \leq n$.[/tex]

Then, the remaining n-k columns of A are free variables, and we can express them as linear combinations of the pivot columns.

Since [tex]$m > n$[/tex], there are more rows than columns in [tex]A$.[/tex]

This means that the rows of A are linearly dependent, and we can find a non-trivial solution to Ax=0.

However, we are given that Ax=0 does not have a non-trivial solution, which means that the columns of A must be linearly independent.

If k<n, then we can express the free variables as linear combinations of the pivot columns, which means that the columns of A are linearly dependent.

This is a contradiction, so we must have k=n.

Therefore, A has n pivot columns.

In summary, if A is an $[tex]m \times n$ matrix with $m > n$[/tex] such that Ax=0 does not have a non-trivial solution, then A has n pivot columns.

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Whats the answer y’all

Answers

The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

What is the Difference of Two Expressions?

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

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82 mm long and 38 mm wide. what is the ratio of the width to the length

Answers

Answer:

the ratio of the width to the length is 38:82 and to it smallest ratio gives us 19:41

On a 10 question multiple-choice test, where each question has 2 answers, what would be the probability of getting at least one question wrong

Answers

The probability of getting at least one question wrong is approximately 0.999 or 99.9%

The probability of getting all the 10 questions correct would be:

[tex](1/2)^{10} = 0.0009765625[/tex]

Therefore, the probability of getting at least one question wrong would be:

1 - 0.0009765625 = 0.9990234375

So, the probability of getting at least one question wrong is approximately 0.999 or 99.9%

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The lateral area of the prism is 240 square inches. Find the total surface area. 148 square inches 240 square inches 288 square inches 480 square inches

Answers

A prism has two congruent bases and rectangular lateral faces. The lateral area of a prism is the sum of the areas of all its lateral faces.

Let L be the length of the rectangular lateral faces, W be the width of the rectangular lateral faces, and H be the height of the prism.

We know that the lateral area of the prism is 240 square inches. This means that:

L x H + W x H + L x H + W x H = 240

Simplifying this equation, we get:

2LH + 2WH = 240

Dividing both sides by 2, we get:

LH + WH = 120

Since the prism has two congruent bases, the total surface area of the prism is the sum of the lateral area and the area of both bases. The area of each base is just the length times the width, or LW. Therefore, the total surface area is:

2(LW) + LH + WH

Substituting LH + WH = 120, we get:

2(LW) + 120

Simplifying further, we get:

2LW + 120

We do not have enough information to determine the length or width of the rectangular bases, so we cannot determine the value of 2LW. Therefore, the final answer is:

Total surface area = 2LW + 120

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Answer:

C

Step-by-step explanation:

Let D= {12,15,17}, E= {12,14,15,16} and F= {11,13,14,15,17}
List the elements of D U E.
D U E= {_____}
(Use a comma to separate answers as needed. list the element in order with no duplicates)

Answers

The elements of D U E are: 12, 14, 15, 16, 17.

To find the union (U) of two sets, we combine all the elements from both sets without any duplicates. So, to find D U E, we need to list all the elements that are in either set D or set E, or both:

D = {12, 15, 17}

E = {12, 14, 15, 16}

The union of D and E is:

D U E = {12, 14, 15, 16, 17}

Therefore, the elements of D U E are: 12, 14, 15, 16, 17.

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____ means examining the whole in order to learn about the individual elements. a. Synthesis b. Analysis c. Risk management d. Risk identification

Answers

Analysis means examining the whole in order to learn about the individual elements. Correct option is b).

Analysis involves breaking down a complex system or situation into smaller parts in order to understand how they work together. This process allows for a more detailed examination of the individual components, which can then be studied in isolation or in relation to one another.

Analysis is a critical part of problem-solving and decision-making, as it enables us to identify patterns and relationships that might not be immediately apparent. By analyzing a situation or system, we can gain a deeper understanding of its strengths, weaknesses, opportunities, and threats, which can inform our strategic planning and risk management efforts. Correct option is b).

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What is 10,00000 plus 984375873458347583

Answers

A news story with the help of following clues is given below.

Here, we have,

In a shocking incident, the son of the Far West Chief Minister was kidnapped on his way to college. The kidnappers have demanded a ransom of 10,00000/- for his release. The identity of the kidnappers is still unknown, and the police are currently conducting a thorough investigation.

According to sources, there was no specific enmity seen against the Chief Minister's son, and it is unclear why he was targeted. However, the police have stated that they suspect the involvement of a cross-border gang in the kidnapping.

The Chief Minister has appealed for his son's safe return and has assured the kidnappers that the ransom would be paid. Meanwhile, the police have launched a massive search operation to locate and rescue the victim.

The entire state is in shock over the incident, and citizens have expressed their outrage and concern over the safety of their children. The government has assured the public that all measures are being taken to ensure the safe return of the Chief Minister's son.

The investigation is still ongoing, and the police have requested the public to come forward with any information that may help in the case. The entire state is praying for the safe return of the Chief Minister's son, and everyone is hopeful that he will be reunited with his family soon.

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complete question:

Make a news story with the help of following clues. [7] Far West Chief Minister's son kidnapped---Son on the way to college- kidnappers unknown-asking for ransom of 10,00000/- ------no specific enmity seen----investigation continue---suspicion of police is on a gang of cross border.​

The matrix equation represents a system of equations. A matrix with 2 rows and 2 columns, where row 1 is 3 and 10 and row 2 is 1 and 3, is multiplied by matrix with 2 rows and 1 column, where row 1 is x and row 2 is y, equals a matrix with 2 rows and 1 column, where row 1 is 6 and row 2 is 1.

Answers

The matrix is : [tex]\left[\begin{array}{cc}3&10\\1&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}6\\1\end{array}\right][/tex], using matrix method y = 3.

Calculating y using matrices method,

A single numerical value known as the determinant of a matrix is used to calculate the inverse or to solve systems of linear equations.

Solving the determinant,

D = (3 * 3) - (1 * 10)

D = 9 - 10

D = -1

Replacing the column at the right side of the equality sign with the second column.

 [tex]\left[\begin{array}{cc}3&6\\1&1\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}10\\3\end{array}\right][/tex]

Δ = (3 * 1) - (1 * 6) = 3 - 6 = -3

y = [tex]\frac{\Delta}{D}[/tex]

y = [tex]\frac{-3}{-1}[/tex]

y = 3

Therefore, y = 3

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Complete Question

The matrix equation represents a system of equations. A matrix with 2 rows and 2 columns, where row 1 is 3 and 10 and row 2 is 1 and 3, is multiplied by matrix with 2 rows and 1 column, where row 1 is x and row 2 is y, equals a matrix with 2 rows and 1 column, where row 1 is 6 and row 2 is 1.

Solve for y using matrices. Show or explain all necessary steps.

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Camille realizes she is charged more based on the volume of the box and not the weight. which would fit her requirements and be the best choice to save her on shipping costs? explain your reasoning

Answers

If Camille is being charged more based on the volume of the box and not the weight, then the best choice to save on shipping costs would be to choose a shipping option that minimizes the volume of the box while still fitting all of her items. This is because a smaller box will have a smaller volume, and therefore cost less to ship.

For example, if Camille is shipping a few small items, she could choose a flat-rate box that is just large enough to fit her items. This would minimize the volume of the box, while still ensuring that her items are protected during shipping. Alternatively, if Camille is shipping larger items, she could choose a shipping option that allows her to disassemble the items and pack them in smaller boxes. This would also minimize the volume of the boxes and reduce her shipping costs.

Overall, the key to saving on shipping costs when the volume is the primary factor is to choose a shipping option that allows Camille to pack her items in the smallest possible boxes, while still ensuring that her items are protected during shipping.

Answer: 好吧,首先減去 我的意思是  我的意思是

Step-by-step explanation:

好吧,首先減去  and then 我的意思是  我的意思是

sorry i dont speak much english

For a certain type of fabric, the average number of defects in each square foot of fabric is 0.9. 10) Find the probability that a randomly selected square foot of the fabric will contain more than one defect A) 0.1647 B) 0.7725 C) 0.6341 D) 0.2275

Answers

The answer is not one of the options provided. The closest option is C) 0.6341, but the correct answer is approximately 0.5940.

What is the probability of more than one defect in a square foot of fabric with an average defect rate of 0.9?

To find the probability that a randomly selected square foot of the fabric will contain more than one defect, we can use the Poisson distribution formula:

P(X > 1) = 1 - P(X ≤ 1)

where X is the random variable representing the number of defects in one square foot of fabric, and P(X ≤ 1) is the cumulative probability of having 0 or 1 defects in one square foot of fabric.

Calculate P(X ≤ 1)

Using the Poisson distribution formula, we have:

P(X ≤ 1) =[tex]e^(-0.9)[/tex] * [tex](0.9^0[/tex] [tex]/ 0!)[/tex] + [tex]e^(-0.9)[/tex]*[tex](0.9^1 / 1!)[/tex] ≈ 0.4060

Calculate P(X > 1)

Using the formula P(X > 1) = 1 - P(X ≤ 1), we have:

P(X > 1) = 1 - 0.4060 ≈ 0.5940

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2. use the model from problem 1 to determine how long it will take the wolf population in the national park to reach 1000. round the answer to the nearest hundredth.

Answers

It will take approximately 3.23 years for the wolf population to reach 1000.

Using the logistic growth model from problem 1, we can calculate the time it will take for the wolf population in the national park to reach 1000.

First, we need to find the carrying capacity (K) of the population. We can estimate it to be around 2000 based on the given data.

Next, we can use the formula P(t) = K / (1 + A*e^(-rt)), where P(t) represents the population size at time t, A is the initial population size, r is the growth rate, and t is time in years.

We know that A = 200, P(t) = 1000, and K = 2000. We can solve for r using the formula r = ln((P(t)/A)-1) / (-t). Plugging in the values, we get:

r = ln((1000/200)-1) / (-t)

r = ln(4) / (-t)

Solving for t, we get:

= -ln((1000/200)-1) / r

t = -ln(4) / r

Using the growth rate from problem 1, r = 0.68, we get:

t = -ln(4) / 0.68

t ≈ 3.23 years

Therefore, it will take approximately 3.23 years for the wolf population to reach 1000.

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Find an ordered pair ( x, y ) that is a solution to the equation. 3x-y=7

Answers

The ordered pair are (1, -4), (0, -7), (2, -1).

To find the solution of the equation 3x -y= 7 we have to put the value for x.

let us take x= 1

3(1) -y =7

-y = 7 -3

-y = 4

y= -4

and, x= 0

y= -7

and, x= 2

-y = 1

y= -1

Thus, the ordered pair are (1, -4), (0, -7), (2, -1).

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0.60792 liters x ________ = 607.92 mL

Answers

0.60792 liters x 1000 = 607.92 mL

Multiplying the volume in liters by 1000 converts it to milliliters.

The sides of a rectangle are 6. 3cm and 4. 8cm ,each corrected to ldp. Calculate the upper bound of the area of the rectangle

Answers

Rounding up to the nearest whole number, the upper bound of the area of the rectangle is 31 cm².

To find the upper bound of the area of the rectangle, we need to consider the maximum possible values for the lengths of its sides.

Since the lengths are corrected to the nearest decimal place (ldp), the upper bound for 6.3 cm is 6.35 cm (halfway between 6.3 cm and 6.4 cm), and the upper bound for 4.8 cm is 4.85 cm (halfway between 4.8 cm and 4.9 cm).

Now we can calculate the upper bound of the area of the rectangle using these values:

Upper bound of length = 6.35 cm

Upper bound of width = 4.85 cm

Area = length * width

= 6.35 cm * 4.85 cm

= 30.8275 cm²

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Find the value of cos X rounded to the nearest hundredth, if necessary.
X
9
Y
√8
N

Answers

Answer: 0.95

Step-by-step explanation:

Rule:

Cos ∅ = adjacent/hypotenuse

adjacent/opposite/hypotenuse are always relative to the angle being used

Hypotenuse is always longest and across from the right angle

adjacent is next to the angle that is not the hypotenuse

opposite is across

Here.

cos X = adjacent/hypotenuse

They didn't give you the adjacent angle to <X  so you need to solve for it using pythagorean

9²=(√8)²+x²

x²=81-8

x²=73

x=√73

now we know what adjacent side is

cos x = [tex]\frac{\sqrt{73} }{9}[/tex]

cos x = 0.95

Regina plans marshmallow roast she will buy a marshmallow for each person who attends and 12 extra marshmallow in case someone shows up unexpectedly let n we present the number of people who attend let m we present the number of Marshmello Regina, must buy an equation that relates the number of marshmallows to the number of people is m=8n+12

Answers

The requried Regina would need to buy 92 marshmallows: 80 for the expected 10 people and 12 extras in case someone shows up unexpectedly.

The equation that relates the number of marshmallows to the number of people is:

m = 8n + 12

where m is the number of marshmallows Regina must buy and n is the number of people who attend.

The 8n in the equation represents the number of marshmallows Regina needs to buy for the expected number of people, which is 8 marshmallows per person. The 12 in the equation represents the additional marshmallows Regina needs to buy just in case someone shows up unexpectedly.

if Regina expects 10 people to attend the marshmallow roast, she would need to buy:

m = 8n + 12

m = 8(10) + 12

m = 80 + 12

m = 92

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Joan's VO2max is 3.6 liters per minute. How many calories per minute does Joan burn if she is exercising at 50 percent of her maximum

Answers

The answer is that Joan would burn approximately 10.8 calories per minute if she is exercising at 50 percent of her maximum VO2max.


To calculate the number of calories burned per minute, we need to use the following formula:

Calories burned per minute = VO2 x body weight in kg x 5 / 1000

Since Joan's VO2max is given as 3.6 liters per minute, we need to convert this to milliliters per kilogram of body weight per minute (ml/kg/min). To do this, we need to divide Joan's VO2max by her body weight in kilograms. Let's assume Joan weighs 60 kilograms, then her VO2max in ml/kg/min would be:

VO2max = 3.6 L/min / 60 kg = 60 ml/kg/min

Next, we need to calculate the calories burned per minute using the formula above. Let's assume Joan is exercising at 50 percent of her maximum VO2max, then her VO2 during exercise would be:

VO2 during exercise = 0.5 x 60 ml/kg/min = 30 ml/kg/min

Plugging this value into the formula, we get:

Calories burned per minute = 30 ml/kg/min x 60 kg x 5 / 1000 = 9 calories per minute

Rounding this up, we get the final answer of approximately 10.8 calories per minute.


Calories burned per minute = VO2 x body weight in kg x 5 / 1000
VO2max = 3.6 L/min / 60 kg = 60 ml/kg/min
VO2 during exercise = 0.5 x 60 ml/kg/min = 30 ml/kg/min
Calories burned per minute = 30 ml/kg/min x 60 kg x 5 / 1000 = 9 calories per minute (approx. 10.8 calories per minute)

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