100 points and brainly pls hurry

Answer:

Step-by-step explanation:

We know a total of 6000 is being turned into 510, in two accounts which equal to 15%, to find how much is in each account we can create the following equation:

\(5x+10x=510\)

Solve for x

\(15x=510\\x=34\)

Now multiply x by the corresponding percentages to find how much was invested into each percentage.

\(34*5=170\)

\(34*10=340\)

Therefore we now know that 170 dollars was invested into the 5% division, and 340 dollars was invested into the 10% division.

We can of course check our answer by adding 170+340 which equals our original investment of 510.

$1800 is invested at 5% and the remainder, $4200, is invested at 10%.

percentage, a relative value indicating hundredth parts of any quantity.

Let us consider the amount invested at 5% x.

The amount invested at 10% is then the remainder, which is:

$6000 - x

Now we can set up an equation for the total interest earned:

0.05x + 0.10($6000 - x) = $510

Simplifying and solving for x:

0.05x + $600 - 0.10x = $510

-0.05x + $600 = $510

-0.05x = -$90

Divide both sides by 0.05

x = $1800

Hence, $1800 is invested at 5% and the remainder, $4200, is invested at 10%.

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Answer:

v = ± \(\sqrt{\frac{2E}{m} }\)

Step-by-step explanation:

Given

E = \(\frac{mv^2}{2}\) ( multiply both sides by 2 to clear the fraction )

2E = mv² ( divide both sides by m )

\(\frac{2E}{m}\) = v² ( take the square root of both sides )

v = ± \(\sqrt{\frac{2E}{m} }\)

Answer:

x=0

y=-3

Step-by-step explanation:

The length of the ladder is approximately 17.4 feet.

Let's call the length of the ladder "L". We can use the Pythagorean theorem to solve for L.

We know that the ladder is leaning against a vertical wall at a slope of 9/4, which means that for every 9 units the ladder goes up, it goes 4 units away from the wall. We can use this to set up a right triangle with the ladder as the hypotenuse:

To know the sides use pythagorean theorem. The vertical distance from the ground to the tip of the ladder is 13.7 feet, so the length of the side opposite the angle θ (the angle between the ladder and the ground) is 13.7. The length of the side adjacent to θ (the distance from the wall to the base of the ladder) is (9/4) times the length of the opposite side.

Using the Pythagorean theorem, we have:

L² = (9/4 * 13.7)² + (13.7)²

L² = 114.96 + 187.69

L² = 302.65

L = √(302.65)

L ≈ 17.4

Therefore, the length of the ladder is approximately 17.4 feet.

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Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

To find the distance Alice is from her starting point after walking along the perimeter of the park, we can use the concept of congruent sides in a regular hexagon.

The perimeter of a regular hexagon is equal to the sum of its six congruent sides. Given that each side of the hexagon is 22 km long, the total perimeter of the hexagon is 6 * 22 km = 132 km.

Since Alice walks a distance of 55 km along the perimeter of the park, we can determine the number of complete laps she makes around the hexagon by dividing the distance she walked by the perimeter of the hexagon: 55 km / 132 km = 0.4167 laps.

As Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

To find the remaining distance from Alice's current position to the starting point, we calculate the fractional part of the number of laps and multiply it by the perimeter of the hexagon: 0.4167 * 132 km = 55 km.

A regular hexagon is a polygon with six congruent sides. In this problem, the regular hexagon represents the shape of the park, and each side of the hexagon has a length of 22 km. The perimeter of the hexagon is found by multiplying the length of one side by the number of sides, which is 6. Therefore, the perimeter of the hexagon is 6 * 22 km = 132 km.

When Alice walks along the perimeter of the park for a distance of 55 km, we need to determine how many complete laps she makes around the hexagon. By dividing the distance she walked by the perimeter of the hexagon, we find that she completes approximately 0.4167 laps.

Since Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

In this case, multiplying 0.4167 by 132 km gives us a result of approximately 55 km. Therefore, Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

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Answer:

employee's hours worked per week

Step-by-step explanation:

check answer

Answer:

In this function, x represents the number of 2) HOURS WORKED PER WEEK.

Answer:

y = 10x/3 - 2/3

Step-by-step explanation:

First, find the slope using the slope formula:

m=(y2-y1)/(x2-x1)  ==> Slope is the change in y over the change in x: (Δy/Δx)

(x1, y1), (x2, y2) ==> (x1=2, y1=6), (x2=-1, y2=-4) <== (2, 6), (-1, -4)

m=(-4-6)/(-1-2) ==> plugin (x1=2, y1=6), (x2=-1, y2=-4)

m=(-10)/(-3) ==> simplify

m=10/3

Now plugin the slope into the slope-intercept form equation y=mx+b:

y = 10x/3 + b

6 = 10(2)/3 + b  ==> plugin the point (2, 6) into the x and y values, (x=2, y=6).

6 = 20/3 + b  ==> simplify

(6 = 20/3 + b)*3 ==> multiply the equation by 3 to remove fractions

18 = 20 + 3b  ==> simplify

Now solve for b:

-2 = 3b  ==> subtract 20 on both sides to isolate b

3b = -2

b = -2/3  ==> divide 3 on both sides

y = 10x/3 + (-2/3)  ==> plugin b = -2/3 into the slope-intercept form equation

Answer:

y = 10x/3 - 2/3 =>adding a negative number is equivalent to subtracting the

                              positive number

$7.15 hope this helped

Answer:

d= Deondre's age

d + 3

c = the number of people in the class

1/2c

w = wildcat's score

a = away team's score

w = 2a + 7

c = cost of the sweater

s = the regular cost of the sweater

c = 1/2s

y = total in the bank

x = number of weeks

y = 75x + 300

y = altitude

x = number of minutes

y = 200x + 1000

Step-by-step explanation:

21: The angles of triangle PQR, with vertices P(2,0), Q(0,3), and R(3,4), are approximately θ ≈ 16.9 degrees, α ≈ 109.4 degrees, and β ≈ 52.6 degrees.

22: The angles of triangle ABC, with vertices A(1,0,-1), B(3,-2,0), and C(1,3,3), are approximately θ ≈ 82.8 degrees, α ≈ 99.3 degrees, and β ≈ 71.2 degrees.

To find the angles of a triangle with the given vertices, we can use vector operations and the dot product formula.

For question 21, let's find the angles of triangle PQR with vertices P(2,0), Q(0,3), and R(3,4).

Step 1: Calculate the vectors between the vertices.

  →PQ = Q - P = (0, 3) - (2, 0) = (-2, 3)

  →PR = R - P = (3, 4) - (2, 0) = (1, 4)

  →QR = R - Q = (3, 4) - (0, 3) = (3, 1)

Step 2: Find the magnitudes of the vectors.

  ||→PQ|| = √((-2)^2 + 3^2) = √(4 + 9) = √13

  ||→PR|| = √(1^2 + 4^2) = √(1 + 16) = √17

  ||→QR|| = √(3^2 + 1^2) = √(9 + 1) = √10

Step 3: Calculate the dot products of the vectors.

  →PQ · →PR = (-2)(1) + (3)(4) = 12

  →PQ · →QR = (-2)(3) + (3)(1) = -3

  →PR · →QR = (1)(3) + (4)(1) = 7

Step 4: Use the dot product formula to find the angles.

  cos θ = (→PQ · →PR) / (||→PQ|| ||→PR||)

  cos θ = 12 / (√13 √17) ≈ 0.957

  θ ≈ arccos(0.957) ≈ 16.9 degrees

  cos α = (→PQ · →QR) / (||→PQ|| ||→QR||)

  cos α = -3 / (√13 √10) ≈ -0.338

  α ≈ arccos(-0.338) ≈ 109.4 degrees

  cos β = (→PR · →QR) / (||→PR|| ||→QR||)

  cos β = 7 / (√17 √10) ≈ 0.609

  β ≈ arccos(0.609) ≈ 52.6 degrees

Therefore, the angles of triangle PQR are approximately:

  θ ≈ 16.9 degrees

  α ≈ 109.4 degrees

  β ≈ 52.6 degrees

For question 22, let's find the angles of triangle ABC with vertices A(1,0,-1), B(3,-2,0), and C(1,3,3).

The process is similar to question 21, but we'll use vector operations in three dimensions.

Step 1: Calculate the vectors between the vertices.

  →AB = B - A = (3, -2, 0) - (1, 0, -1) = (2, -2, 1)

  →AC = C - A = (1, 3, 3) - (1, 0, -1) = (0, 3, 4)

  →BC = C - B = (1, 3, 3) - (3, -2, 0)

= (-2, 5, 3)

Step 2: Find the magnitudes of the vectors.

  ||→AB|| = √(2^2 + (-2)^2 + 1^2) = √(4 + 4 + 1) = √9 = 3

  ||→AC|| = √(0^2 + 3^2 + 4^2) = √(9 + 16) = √25 = 5

  ||→BC|| = √((-2)^2 + 5^2 + 3^2) = √(4 + 25 + 9) = √38

Step 3: Calculate the dot products of the vectors.

  →AB · →AC = (2)(0) + (-2)(3) + (1)(4) = 4 - 6 + 4 = 2

  →AB · →BC = (2)(-2) + (-2)(5) + (1)(3) = -4 - 10 + 3 = -11

  →AC · →BC = (0)(-2) + (3)(5) + (4)(3) = 0 + 15 + 12 = 27

Step 4: Use the dot product formula to find the angles.

  cos θ = (→AB · →AC) / (||→AB|| ||→AC||)

  cos θ = 2 / (3 * 5) = 2 / 15 ≈ 0.133

  θ ≈ arccos(0.133) ≈ 82.8 degrees

  cos α = (→AB · →BC) / (||→AB|| ||→BC||)

  cos α = -11 / (3 * √38) ≈ -1.267 / 9.695 ≈ -0.131

  α ≈ arccos(-0.131) ≈ 99.3 degrees

  cos β = (→AC · →BC) / (||→AC|| ||→BC||)

  cos β = 27 / (5 * √38) ≈ 3.063 / 9.695 ≈ 0.316

  β ≈ arccos(0.316) ≈ 71.2 degrees

Therefore, the angles of triangle ABC are approximately:

  θ ≈ 82.8 degrees

  α ≈ 99.3 degrees

  β ≈ 71.2 degrees

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Answer: We know that for any circle with radius r the formula for the area and circumference of the circle is given as: Area of circle=πr². ... Hence, to describe the relationship between the area of a circle and its circumference. The Area of circle is 1/2 times the radius times the circumference.

Step-by-step explanation:

To find the rate at which average cost is changing when 176 belts have been produced, we need to first find the rate at which the average cost is changing when x belts have been produced.

We know that C(x) = 720 + 37x - 0.068x²We can find the average cost by dividing the total cost by the number of units produced. Average cost = Total cost / Number of units produced Let's consider that x belts have been produced. Then the total cost of producing these x belts is C(x).

Thus, the average cost per belt can be calculated as follows: Average cost = C(x) / x The rate at which the average cost is changing when x belts have been produced is given by the derivative of the average cost with respect to the number of belts produced (x).So, we need to differentiate the equation for average cost with respect to x to find the rate at which the average cost is changing.

Thus, the derivative is given by average cost'(x) = (C(x) / x)'Now, the derivative of the cost function C(x) is given as follows:

C'(x) = 37 - 0.136xaverage cost'(x) = (C(x) / x)'= (720 + 37x - 0.068x²) / x '= [37x² - 2x(720 + 37x) - x²(0.068)] / x²= (37x - 1440 - 0.068x²) / x²Putting x = 176, we get: average cost'(176) = (37(176) - 1440 - 0.068(176²)) / 176²= 13.064

Therefore, when 176 belts have been produced, the average cost is changing at 13.064 dollars per belt for each additional belt.

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Answer:

48.69

Step-by-step explanation:

Step-by-step explanation:

30% off $53.50

= 70% of $53.50

= $53.50 * (70/100) = $37.45.

The probability that  at least 6% of those in the sample believe the thing about reptilian people controlling our world is 0.0567

What is binomial probability distribution?

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

According to the given question:

n = 100 random sample

p = 0.6 probability of success

P(X = x) = n to x pˣ(1-p)ⁿ⁻ˣ

P(X = 30) = 100 to 30 (0.6)³⁰(0.4)⁷⁰

               = 0.0567

Hence the probability that  at least 6% of those in the sample believe the thing about reptilian people controlling our world is 0.0567

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Answer:

Use properties:

Simplify as follows:

The graph is shown in the attached image.

Step-by-step explanation:

Another name of zy is line s

So we see that r = 0. Therefore, the equation of the circle is just:

(x - 2)^2 + (y - 9)^2 = 0

Company revenue quadratic function.

Angel

The revenue, in billions of dollars, for a company in the year 2002 was $2.7 billion. One year later, in 2003, the revenue had risen to $3.4 billion. In 2005, the revenue climbed to $3.9 billion, before falling to $2.7 billion in 2008. The revenue, r, in billions of dollars, for the company, is a quadratic function of the number of years since 2002, x. what is the vertex of the function?

To find the quadratic function that represents the revenue of the company as a function of the number of years since 2002, we can use the vertex form of a quadratic function:

r(x) = a(x - h)^2 + k

where a is the coefficient of the quadratic term, h is the x-coordinate of the vertex, and k is the y-coordinate of the vertex.

We can use the given revenue values to set up a system of three equations:

2.7 = a(0 - h)^2 + k

3.4 = a(1 - h)^2 + k

2.7 = a(6 - h)^2 + k

Subtracting the first equation from the second, and the first equation from the third, we get:

0.7 = a(1 - h)^2

0 = a(6 - h)^2

Since a cannot be zero (otherwise we wouldn't have a quadratic function), we can divide the second equation by the first to get:

6 - h = 10

which gives us h = -4.

Substituting h = -4 into the first equation, we get:

2.7 = a(0 - (-4))^2 + k

2.7 = 16a + k

Substituting the revenue value for 2005, we get:

3.9 = a(3 - (-4))^2 + k

3.9 = 49a + k

Solving for a and k, we get:

a = -0.1

k = 4.3

Therefore, the quadratic function that represents the revenue of the company as a function of the number of years since 2002 is:

r(x) = -0.1(x + 4)^2 + 4.3

The vertex of this function is at (-4, 4.3).

Angel

What is the sum of the numbers in the sequence 3, −4, 5, −6, . . . , 101?

We can notice that the sequence alternates between adding an odd number and subtracting an even number. The first term is 3, which is odd, so the sequence starts by adding an odd number. The second term is -4, which is even, so the sequence then subtracts an even number. This pattern continues, so the sum of the sequence can be written as:

3 - 4 + 5 - 6 + ... + 101

We can group the terms into pairs:

(3 - 4) + (5 - 6) + ... + (99 - 100) + 101

Each pair of terms adds up to -1, so we can simplify the expression to:

-1 -1 -1 ... -1 + 101

where there are 50 pairs of -1's. The sum of 50 -1's is -50, so the sum of the sequence is:

-50 + 101 = 51

Therefore, the sum of the numbers in the sequence 3, −4, 5, −6, . . . , 101 is 51.

Angel

What is 12 7/8 - 56/17?

To subtract mixed numbers like 12 7/8, we first need to convert it to an improper fraction. We can do this by multiplying the whole number by the denominator of the fraction, and adding the result to the numerator. This gives us:

12 7/8 = (12 × 8 + 7)/8 = 103/8

Now we can subtract 56/17 from 103/8. To do this, we need to find a common denominator for the two fractions. The least common multiple of 8 and 17 is 136, so we can rewrite the fractions with this denominator:

103/8 = (103/8) × (17/17) = 1751/136

56/17 = (56/17) × (8/8) = 448/136

Now we can subtract the two fractions:

1751/136 - 448/136 = (1751 - 448)/136 = 1303/136

We can simplify this fraction by finding a common factor to divide both the numerator and denominator. Since both 1303 and 136 are relatively prime, we cannot simplify it any further. Therefore, the final answer is:

12 7/8 - 56/17 = 1303/136

Angel

A circle in the xy-plane has a diameter with endpoints (2,4) and (2,14). An equation of this circle is (x-2)^2+(y-9)^2=r^2 ,where r is a positive constant. What is the value of r?

The center of the circle is the midpoint of the diameter, which is at (2, (4+14)/2) = (2, 9). We can substitute this center point into the equation of the circle to get:

(x - 2)^2 + (y - 9)^2 = r^2

(2 - 2)^2 + (9 - 9)^2 = r^2

0 + 0 = r^2

So we see that r = 0. Therefore, the equation of the circle is just:

(x - 2)^2 + (y - 9)^2 = 0

This describes a single point in the xy-plane, which is the center of the circle. Note that this point is already on the given diameter, so it makes sense that the radius is zero.

A: Yes, there is a correlation between the number of workers in a factory and the number of units produced daily.

B: The equation of the function that best fits the data is; y = 5x + 2

C: The slope is m = 5 which shows us the rate of change of number of units produced daily over the change in number of workers.

The y - intercept is c = 2 which shows us the number of units produced by number of workers.

A) To determine the correlation coefficient, first we shall find the slope and y - intercept.

Let us substitute the coordinates (0, 2) and (60, 302) in the slope formula, to find the value of slope.

Hence, we have;

m = (y₂ - y₁)/(x₂ - x₁)

m = (302 - 2)/(60 - 0)

m = 5

The y - intercept is the value of y when the value of x is equal to 0.

From the table , we can see that when x = 0 , the value of y is 2

Thus, the y - intercept is 2.

The equation of a line in slope intercept form is;

y = mx + c

Thus;

Equation of the line is; y = 5x + 2 which shows a correlation

b) From above , we can say the function of best fit is;

y = 5x + 2

c) The slope is m = 5 and it indicates that the rate of change of number of units produced daily over the change in number of workers.

The y - intercept is c = 2 and it indicates that the number of units produced by number of workers.

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The length of the second parallelogram is 2 cm.

What are parallelograms ?
A parallelogram is a quadrilateral with opposite sides parallel and equal in length. It has two pairs of parallel sides and opposite angles are equal. Some common properties of parallelograms include:

According to the question:
To solve for x, we need to use the fact that opposite sides of a parallelogram are equal in length.

For the first parallelogram, we know that the width is 4 cm and the length is 6 cm. Therefore, the opposite side lengths are also 4 cm and 6 cm.

For the second parallelogram, we know that the width is 6 cm. Since the opposite sides are equal in length, the length of the parallelogram must be x cm.

So, we have:

Width of first parallelogram = Width of second parallelogram

4 cm = 6 cm

Length of first parallelogram = Length of second parallelogram

6 cm = x cm

Simplifying the first equation, we get:

2 cm = x

Therefore, the length of the second parallelogram is 2 cm.

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The equation of the given linear function passing through two points is

y = 6 -2x.

Let (x₁, y₁) and (x₂, y₂) be two points on the given linear function whose equation in variables x and y is given by formula below.

(y -  y₁) = {(y₂ -y₁)/(x₂-x₁)} (x -x₁)

Given that  f is a linear function ,

f(-3) = 12

f(6) = -6

⇒(x₁, y₁) = ( -3,12)

  (x₂, y₂) = ( 6,-6)

Thus the equation of the linear function is :

⇒ y - 12 = { ( -6-12)/(6-(-3))} ( x - (-3))

⇒ y - 12 = { -18/ 9} ( x +3)

⇒ y - 12 = -2 ( x+3)

⇒ y = 12 -2x - 6

⇒ y = 6 -2x

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The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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The confidence Interval is CI = (-1.35, 1.35) and 1.74 is outside of this confidence interval and as such it is statistically significant.

Formula for the confidence interval is:

CI = x' ± z(S.E)

where;

x is the mean

z is the critical value.

S.E is the standard error.

We are told that there is no difference between the population and as such; x = 0.

The confidence level is given as 95%.

z-score at 95% confidence level = 1.96.

Standard deviation of the sample mean differences is 0.69. Thus;

S.E = 0.69.

The confidence interval is:

CI = 0 ± (1.96 * 0.69)

CI = (-1.35, 1.35)

1.74 is outside of this confidence interval and as such it is statistically significant.

Complete question is;

I know that the red box has a mean value of 15.11 and the blue box's mean is 16.83. The difference of sample means is 1.74. The red standard deviation is 3.868 and the blue one is 2.933. the standard deviation of the sample mean differences is 0.69. How do I use all this to construct the interval with no difference between the population means.

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Answer:

x= negative goes on the out side of it 15 over 4

The equation representing visual models is z+1/5=3/5.

Since it is given in the question that the hanger image represents a balanced equation therefore equating LHS with RHS it can be written as follows.

LHS = 1/5 + z

RHS = 3/5+ z

Equating both the equations it can be written as

LHS = RHS

1/5+z=3/5

or z=3/5-1/5

Therefore, z=2/5

Hence, for z=2/5 the hanger will represent a balanced equation.

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The answer choice that includes all solutions to the inequality and identifies the interval(s) containing viable completion times of machine 1 is - **x ≤ 8** (inclusive) represents all solutions to the inequality, and the interval **[0, 8]** contains viable completion times of machine 1.

To determine the solution to an inequality, we need to consider the given conditions. Let's assume the inequality is **x + 2 < 10**, where x represents completion times of machine 1.

To solve the inequality, we subtract 2 from both sides:

x + 2 - 2 < 10 - 2

x < 8

This inequality indicates that the completion times of machine 1 (represented by x) must be less than 8 in order to satisfy the condition.

Since the inequality is strict (**x < 8**), the solution does not include the value 8 itself. However, if the inequality were non-strict (**x ≤ 8**), it would include the value 8 as well.

Hence, the answer choice **x ≤ 8** includes all solutions to the inequality. Now, to identify the interval(s) containing viable completion times of machine 1, we consider the range of values for x.

In this case, the interval [0, 8] represents viable completion times for machine 1 because it includes all values from 0 to 8, inclusive. Any completion time within this interval, including the endpoints, would satisfy the inequality.

Therefore, the answer choice that includes all solutions to the inequality is **x ≤ 8**, and the interval **[0, 8]** contains viable completion times of machine 1.

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The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.

a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.

Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:

f(x) = x - 0.37x

Simplifying the equation:

f(x) = 0.63x

b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:

x0 = 41 grams

c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.

For n hours, the solution is given by:

xn = f^n(x0)

Applying the updating function f(x) repeatedly for n times:

xn = f(f(f(...f(x0))))

In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:

xn = (0.63)^n * x0

Substituting the initial condition x0 = 41 grams, the solution becomes:

xn = (0.63)^n * 41 grams

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Jeremy has 45 nickels and Robin has 55 - 45 = 10 nickels.

What is the algebraic equations?

An algebraic equation is a mathematical statement that shows the equality between two expressions, typically with one or more variables.

Let x be the number of nickels Jeremy has. Then, the number of nickels that Robin has is 55 - x.

The total number of nickels they have together is 100, so we can write:

x + (55 - x) = 100

Simplifying the expression, we get:

55 = 100 - x

x = 45

Hence, Jeremy has 45 nickels and Robin has 55 - 45 = 10 nickels.

The equation to describe this situation is:

n = 45

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