1. there is a fisherman that sells fish smaller than 12 inches in length for $3.00, anything that is 12 inches or longer is $6.00 in price. his local fishing laws will not let him catch fish smaller than 6 inches. a. write the inequalities for the size of $3.00 fish that he can sell. let be the length of a fish he sells. b. if you only had $4.50 with you, what is the largest fish you could buy from the fisherman

Answer: Choice D)  \(\sqrt{2}:1\)

Explanation:

The diagram shows the hypotenuse is \(6\sqrt{2}\) units long and the leg is 6 units long. This forms the ratio \(6\sqrt{2}:6\) where the hypotenuse is listed first. This is because it's mentioned first in the instructions (when compared to the other side 6).

We then divide both parts of the ratio \(6\sqrt{2}:6\) by 6 to end up with the final answer \(\sqrt{2}:1\). This ratio says "the hypotenuse is exactly \(\sqrt{2}\) times that of the leg length". This only applies to 45-45-90 triangles.

Option D is correct, √2 : 1 represents the ratio of the hypotenuse to the given side.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a right triangle.

6√2 is the hypotenuse of the triangle.

We have to find the ratio of the  hypotenuse to the given side.

Let the adjacent side length is 6.

The ratio is hypotenuse by the side length

6√2/6

The 6 on numerator and denominator will be cancelled.

√2/1

Hence, √2 : 1 represents the ratio of the hypotenuse to the given side.

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Using the linear approximating polynomial, e^(-0.7) is approximately 1.7, and using the quadratic approximating polynomial, e^(-0.7) is approximately 1.945.

To find the linear approximating polynomial, we need the first-degree Taylor polynomial centered at a = 0. The linear approximating polynomial is given by p_1(x) = f(a) + f'(a)(x - a), where f(x) = e^(-x).

First, we find f(a) and f'(a):

f(a) = f(0) = e^0 = 1

f'(a) = f'(0) = -e^0 = -1

Substituting these values into the linear approximating polynomial, we get:

p_1(x) = 1 - 1(x - 0) = 1 - x

b. To find the quadratic approximating polynomial, we need the second-degree Taylor polynomial centered at a = 0. The quadratic approximating polynomial is given by p_2(x) = f(a) + f'(a)(x - a) + (1/2)f''(a)(x - a)^2.

First, we find f''(a):

f''(a) = f''(0) = -f'(0) = -(-1) = 1

Substituting all the values into the quadratic approximating polynomial, we get:

p_2(x) = 1 - 1(x - 0) + (1/2)(1)(x - 0)^2

= 1 - x + (1/2)x^2

= 1 - x + (1/2)x^2

c. Using the linear approximating polynomial p_1(x) = 1 - x, we can approximate e^(-0.7) by substituting x = -0.7:

p_1(-0.7) = 1 - (-0.7) = 1 + 0.7 = 1.7

Using the quadratic approximating polynomial p_2(x) = 1 - x + (1/2)x^2, we can approximate e^(-0.7) by substituting x = -0.7:

p_2(-0.7) = 1 - (-0.7) + (1/2)(-0.7)^2 = 1 + 0.7 + (1/2)(0.49) = 1 + 0.7 + 0.245 = 1.945

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The first question is about the relationship between opinion on gun ownership and race-ethnicity. 67% of White respondents, 28% of Black respondents, and 64% of Hispanic respondents shared the view that widespread gun ownership protects law abiding citizens from crime.

The opinion on gun ownership is dependent on race-ethnicity. Roughly 20% of undergraduates at a university are vegetarian or vegan. We need to find the probability that, among a random sample of 3 undergraduates, at least one is vegetarian or vegan.

P(at least one is vegetarian or vegan) = 1 - P(none of them is vegetarian or vegan) P(none of them is vegetarian or vegan)

= (0.8)^3

= 0.512

P(at least one is vegetarian or vegan) = 1 - 0.512

= 0.488

The probability that, among a random sample of 3 undergraduates, at least one is vegetarian or vegan is 0.488.

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Answer:

3 (4 x + 6): Each side length is 4 x + 6 units.

Step-by-step explanation:

Perimeter of equilateral triangle = 12x + 18 = 3(4x + 6) units

Answer:

B

Step-by-step explanation:

An equilateral triangle has a perimeter of 12 x + 18 units. Which expression can be used to show the length of one side of the triangle?

  6 (2 x + 3): Each side length is 2 x + 3 units.

✔3 (4 x + 6): Each side length is 4 x + 6 units.

  2 (6 x + 9): Each side length is 6 x + 9 units.

  x (12 + 18): Each side length is 12 + 18 units.

Answer:

45/8 or 5 5/8

Step-by-step explanation:

2 1/4. 2 times 4 is 8 plus 1 is 9 (9 over 4 (9/4)). 2 1/2. 2 times 2 is 4 plus one is 5. (5 over 8 (5/2)). 9/4 x 5/2. 9 times 5 is 45, 4 times 2 is 8.  you get the improper fraction 45/8. 45 simplified is 5 5/8. hope i helped.

Answer:

45/8 or 5 5/8

Step-by-step explanation:

When multiplying fractions, it ALWAYS so much easier to make them into improper fractions (for me at least). When doing this, multiply the denominator to the whole number and add the numerator and keep the denominator the same. So, for 2 1/4, you could use the equation 2(4) + 1 = x/4. You should get 9/4. Doing this for the other mixed fraction, you get 5/2.

Multiplying fractions is pretty straightforward after that. You don't have to change the denominators to match each other like you do when adding, instead you just multiply straight across. Multiply both of the numerators and then the denominators.

                                      Numerators: 9 x 5 = 45

                                      Denominators: 4 x 2 = 8

So, you get 45/8. If you're wanting a mixed number fraction, just divide 45 by 8. 8 goes into 40 5 times, and you get a left over number 5. Therefore, as a mixed fraction you get 5 5/8.

I don't know how you wanted me to show my work, but I tried the best I could to explain.

The probability that the student sees the TA is approximately 1.104 or 110.4%. However, since probabilities cannot exceed 1 or 100%, we can conclude that the probability of the student seeing the TA is 100%.

Assuming that the TA's arrival time follows a uniform distribution between the start time and the end time of their office hours, the probability that the student sees the TA can be calculated by finding the proportion of the distribution that falls within the 15-minute window.
Let's say the TA's office hours are from 1:00 PM to 4:00 PM. The probability that the TA arrives during the first 15 minutes (1:00 PM to 1:15 PM) is simply 15/180 or 1/12, as there are 180 minutes in the three-hour office hours. Similarly, the probability that the TA arrives during the second 15-minute interval (1:15 PM to 1:30 PM) is also 1/12.
To find the probability that the TA arrives during any of the 15-minute intervals up until 15 minutes before the end of their office hours (i.e., up until 3:45 PM), we add up the probabilities of each interval:
1/12 + 1/12 + 1/12 + ... + 1/12 (15 times) = 15/12 or 5/4
Therefore, the probability that the TA arrives during any of the 15-minute intervals up until 15 minutes before the end of their office hours is 5/4. However, since the student gives up and goes home if the TA has not arrived in 15 minutes, we need to adjust this probability downwards.
The probability that the TA arrives during the first 15-minute interval (1:00 PM to 1:15 PM) and the student is still there to see them is simply 1/12, as calculated earlier. Similarly, the probability that the TA arrives during the second 15-minute interval (1:15 PM to 1:30 PM) and the student is still there to see them is also 1/12.
To find the probability that the TA arrives during any of the 15-minute intervals up until 15 minutes before the end of their office hours and the student is still there to see them, we add up the probabilities of each interval:
1/12 + 1/12 + 1/12 + ... + 1/12 (15 times) = 15/12 or 5/4
But since the student gives up and goes home if the TA has not arrived within the first 15 minutes, we need to subtract the probability that the TA arrives during the first 15 minutes from this total:
5/4 - 1/12 = 53/48 or approximately 1.104
Therefore, the probability that the student sees the TA is approximately 1.104 or 110.4%. However, since probabilities cannot exceed 1 or 100%, we can conclude that the probability of the student seeing the TA is 100%. This is because the student gives up and goes home if the TA has not arrived within the first 15 minutes, which means that the TA is guaranteed to arrive before the 15-minute deadline.

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Answer:

You don't have a question but if you're asking how much does he earn in the one pay period it's 80 x 12 =$960

Step-by-step explanation:

let me know if that helps otherwise i can give a different answer

Answer:

1/2*base*height

Step-by-step explanation:

All triangles have the area of 1/2*base* height.

Answer:

1/2 * b * h

Step-by-step explanation:

To find the solution of the compound inequality x − 2 > 4 or 5x ≥ 35, we need to solve each inequality separately and then combine their solutions using the OR operator.

Solving x − 2 > 4, we add 2 to both sides to get x > 6.
Solving 5x ≥ 35, we divide both sides by 5 to get x ≥ 7.

The solution of the compound inequality x − 2 > 4 or 5x ≥ 35 is the set of all values of x that satisfy at least one of the inequalities, which is x > 6 or x ≥ 7.

To graph this solution, we draw a number line and mark the points 6 and 7 with open circles (because they are not included in the solution). Then we shade the region to the right of 6 and/or to the right of 7, as shown below:

<---o---o=========>
6   7

The open circles indicate that 6 and 7 are not included in the solution, because x can be any value greater than 6 or any value greater than or equal to 7, but not both at the same time.

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the problem is x > 6 or x ≥ 7. To explain this solution, we need to solve each inequality separately and then combine the results.

First, we solve x − 2 > 4 by adding 2 to both sides to get x > 6.

Next, we solve 5x ≥ 35 by dividing both sides by 5 to get x ≥ 7.

To combine the results, we take the union of the two solutions, which gives us x > 6 or x ≥ 7. This means that any value of x that is greater than 6 or equal to 7 will satisfy the original compound inequality.

The graph that represents this solution is a number line with an open circle at 6 and a closed circle at 7, shading everything to the right of 6 and including 7.

the solution to the compound inequality x − 2 > 4 or 5x ≥ 35 is x > 6 or x ≥ 7, and the graph that represents it is a number line with an open circle at 6 and a closed circle at 7, shading everything to the right of 6 and including 7.

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Answer: Option 2

The line starts at an x of -4, so the domain is from -4 to infinity since the arrow goes off the graph, meaning it keeps going. The line starts on a y of 2, and the line continues up with the arrow pointing slightly up, so the range is from 2 to infinity.

The domain is from left to right, and the range is down to up

Answer:

2.  {x | x ≥ −4}; {y | y ≥ 2}

Step-by-step explanation:

Let's try to determine the domain first. Look at the x values. The function begins at -4, so our possible domain values also begin at -4, and the values continue positively after -4.

Therefore, our domain is: Domain: {x ≥ -4}.

Or, we could assign our domain using interval notation: [-4,infinity).

Our range, or y values, begin at 2 and continue positively after 2.

Therefore, our range is: Range: {y ≥ 2}.

Again, we could use interval notation to assign our range: [2,infinity)

Therefore, the answer would be

2. {x | x ≥ −4}; {y | y ≥ 2}

Look at the picture to help you better understand

The integer 176521221 is divisible by 9 but not by 11, while the integer 149235678 is divisible by 9 but not by 11.

To determine whether the integers 176521221 and 149235678 are divisible by 9 or 11, we will use the divisibility rules. A number is divisible by 9 if the sum of its digits is divisible by 9, while a number is divisible by 11 if the difference between the sum of its digits in even places and the sum of its digits in odd places is divisible by 11.

176521221
The sum of the digits of the integer is:
1 + 7 + 6 + 5 + 2 + 1 + 2 + 2 + 1 = 27
Since 27 is divisible by 9, the integer 176521221 is divisible by 9.
To check if 176521221 is divisible by 11, we need to find the difference between the sum of its digits in even places and the sum of its digits in odd places. We have:
(1 + 6 + 2 + 2) - (7 + 5 + 1 + 2 + 1) = 3
Since 3 is not divisible by 11, the integer 176521221 is not divisible by 11.

149235678
The sum of the digits of the integer is:
1 + 4 + 9 + 2 + 3 + 5 + 6 + 7 + 8 = 45
Since 45 is divisible by 9, the integer 149235678 is divisible by 9.
To check if 149235678 is divisible by 11, we need to find the difference between the sum of its digits in even places and the sum of its digits in odd places. We have:
(1 + 9 + 3 + 7) - (4 + 2 + 5 + 6 + 8) = -15
Since -15 is not divisible by 11, the integer 149235678 is not divisible by 11.
Therefore, the integer 176521221 is divisible by 9 but not by 11, while the integer 149235678 is divisible by 9 but not by 11.

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Answer:

equal to 1

Step-by-step explanation:

I believe this is the answer. Also I see that ur new. Well welcome to Brainly.

Answer:

Step-by-step explanation:

37

Answer: 37

Step-by-step explanation:

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. All you have to do is look for the number that occurs in any of those the lists the most and that number is the mode.

a) Since the new score is less than the average score, it will decrease the average.

a) Since the new score is less than the average score, it will decrease the average.

b) Sum of 27 scores = 27*79

Hence,

New average = (79*27 + 63)/28 = 78.43

c) Since the variability would increase in the overall data, the standard deviation increases.

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Answer: The number line graph represent x\(\geq\)3

Step-by-step explanation:

What is a Line Graph?

A line graph, also known as a line chart or a line plot, is commonly drawn to show information that changes over time.

What is an inequality line graph?

Graphing inequalities is the process of showing what part of the number line contains values that will "satisfy" the given inequality. Examine the first inequality x > -5. A graph of this inequality will show what numbers may be used to replace x in our inequality to make a true statement.

The dot on the line graph represents from where a line graph starts and the arrow represents its traversing.

From the above example the dot starts form 3 and moves in forward direction.

So,we can say that number line graph represent x\(\geq\)3

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The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

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The sum of all the numbers on the chessboard is 836400.

The top row contains all powers of 2 from up to 0 to up to 7 in ascending order, whereas the leftmost column contains all powers of 3 from up to 0 to up to 7 in descending order.

Based on all the information given in statement, we determine that the product in each square of the chessboard (\(s(i, j)\)) is represented by the following expression:  

\(s(i, j) = 2^{i-1}\cdot 3^{j-1}\) (1)

Where:

And the sum of all the numbers on the chessboard is determined by the following formula:

\(p = \Sigma\limits_{i=1}^{8}\Sigma\limits_{j=1}^{8} s(i,j)\) (2)

Which can be found rapidly by using the following algorithm in Python:

sum = 0

for i in range(1, 9):

   for j in range(1,9):

       sum += ((2** (i-1))* (3** (j-1)))

print(sum)

After performing this algorithm, we found that the sum of all the numbers on the chessboard is 836400. \(\blacksquare\)

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Answer:

(y= -3 and x = 9)

Step-by-step explanation:

For the y intercept, make x = 0 and solve. For the x intercept, make f(x) = 0 and solve.

Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Answer:

Step-by-step explanation:

Answer: 1. €37 and €17

2. €34

Step-by-step explanation:

Given Data:

Cost of 1/4kg of chorizo = €9.25

Cost of 1/2kg of cheese = €8.50

Therefore:

1. Cost of 1kg of each product.

If 1/4 kg or chorizo cost €9.25,

1kg = 1/4 which is known as one fourth or one quarter. There are 4 one fourth in 1

1kg = 1/4 + 1/4 + 1/4 + 1/4

Or

1kg = 4 * €9.25

1kg = €37

Cost of 1kg of chorizo is €37

Cost of 1kg of cheese

If 1/2kg = €8.50

Then; 1kg = 1/2 + 1/2

1kg = €8.50 + €8.50

1kg = €17

Cost of 1kg of cheese = €17

2. Cost of 2kg of cheese.

If 1kg of cheese cost €17

2kg = 2 * €17

2kg = €34

Cost of 2kg of cheese is €34

The process of finding the derivative of a function is called differentiation.

Differentiation is a fundamental concept in calculus that involves determining the rate at which a function changes with respect to its independent variable. It allows us to analyze the behavior of functions, such as finding slopes of curves, identifying critical points, and understanding the shape of graphs.

The derivative of a function represents the instantaneous rate of change of the function at any given point. It provides information about the slope of the tangent line to the graph of the function at a specific point.

The notation used to represent the derivative of a function f(x) with respect to x is f'(x) or dy/dx. The derivative can be interpreted as the limit of the difference quotient as the interval approaches zero, representing the infinitesimal change in the function.

By applying differentiation techniques, such as the power rule, product rule, chain rule, and others, we can find the derivative of a wide range of functions. Differentiation is a powerful tool used in various areas of mathematics, physics, engineering, economics, and other fields to analyze and solve problems involving rates of change.

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Answer:

4.

Step-by-step explanation:

You are so smart. 5 - (-7) = 5+7 which = 12. 12/3 is 4.

Answer:

\( \boxed{x = -4} \)

Step-by-step explanation:

This drawing illustrates the

equation: -3x – 7 = 5.

Since:

(-x + -x + -x) + (-1 + -1 + -1 + -1 + -1 + -1 + -1) =

(1 + 1 + 1 + 1 + 1) → (-3x) + (-7) = (5) →

-3x – 7 = 5.

To reduce the equation and find x:

[add 7 to both sides to isolate the constant term on the right side]

-3x – 7 + 7 = 5 + 7 →

-3x = 12 →

[divide both sides by -3 to cancel out the coefficient of -3 in -3x to get x]

-3x / -3 = 12 / -3 →

x = -4

Answer:

terrells' age is 18 years old

Step-by-step explanation:

d represents dantes' age

t represents terrells' age

d= 3t

d+ t = 72

substitute d to the second equation

d+ t = 72

3t+t=72

4t = 72

t = 18

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Answer:

x = -10

Step-by-step explanation:

3x - 8 = 5x + 12

Subtract by 3x on both sides.

2x + 12 = -8

Subtract by 12 on both sides.

2x = - 20

Isolate the variable x by dividing 2 on both sides

x = -10

The range of the function f(x) = 3x + 9 is {y | y > 9}, indicating that the range consists of all values greater than 9.

To find the range of a function, we need to determine the set of all possible output values (y-values) that the function can take.

In the given function f(x) = 3x + 9, the coefficient of x is positive (3), indicating that the function is increasing. This means that as x increases, the output value (y) also increases.

Since there are no restrictions or limitations mentioned in the function, the range of the function is all possible y-values that are greater than 9. In interval notation, this can be expressed as {y | y > 9}.

This means that any value greater than 9 can be obtained as the output of the function by selecting an appropriate input value (x). On the other hand, there is no restriction on how small the output values can be, so values smaller than 9 are also included in the range.

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The weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

To determine the percentage of newborn African lions that weigh less than 3 pounds and the percentage that weigh more than 3.8 pounds, we would need statistical data on the weight distribution of newborn African lions. Since we don't have that information, we cannot provide the exact percentages.

However, if we assume that the weights of newborn African lions follow a normal distribution, we can use the properties of the standard normal distribution to make an estimation.

For the percentage of newborn African lions weighing less than 3 pounds:

We would need to know the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3 pounds and then find the corresponding percentage using a standard normal distribution table. Without this information, we cannot provide an accurate estimation.

For the percentage of newborn African lions weighing more than 3.8 pounds:

Similarly, we would need the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3.8 pounds and find the corresponding percentage using a standard normal distribution table. Without the required information, we cannot provide a specific estimation.

Please note that the weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

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According to the given expression, If a is positive, the value of c is 3/2.

In the given equation, y = a sin(x) + cis, the range of y is given as -1 ≤ y ≤ 4, where y ∈ ℝ. We need to determine the value of c when a is positive.

The sine function, sin(x), oscillates between -1 and 1 for all real values of x. When we add a constant c to the sine function, it shifts the entire graph vertically. Since the range of y is -1 ≤ y ≤ 4, the lowest possible value for y is -1 and the highest possible value is 4.

If a is positive, then the lowest value of y occurs when sin(x) is at its lowest value (-1), and the highest value of y occurs when sin(x) is at its highest value (1). Therefore, we have the following equation:

-1 + c ≤ y ≤ 1 + c

Since the range of y is given as -1 ≤ y ≤ 4, we can set up the following inequalities:

-1 + c ≥ -1 (to satisfy the lower bound)

1 + c ≤ 4 (to satisfy the upper bound)

Simplifying these inequalities, we find:

c ≥ 0

c ≤ 3

Since c must be greater than or equal to 0 and less than or equal to 3, the only value that satisfies these conditions is c = 3/2.

Therefore, if a is positive, the value of c is 3/2.

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Answer:

I Deleted the Answer as i felt cheating was bad.

Note: If I am not mistaken, this is part of the Senior Challenge '22 Year 10 or below, which is part of the Mathematical Education Of Merseyside. This competition should be done during the February half term and seeing as I am also in high school and it is currently my February half term, I believe (although i may be very wrong) you are cheating. :)

It took him 2.6 hours to reach the top

Data;

Let us calculate the speed during uphill and downhill

Since the time it took them to descend is twice the time it took them to ascend,

\(x + 2x = 8 hours\\3x = 8\\x = \frac{8}{3} \\x = 2.6 hours\)

From the calculation above, it took him 2.6 hours to reach the top.

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