Find the total differential dy, given
a. y= x1/(x1+x2) b. y=2x1x2 /(x1+x2)

Answer:

X=2

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

LCM is 6,after eliminating the fractions,you will arrive at 3-2x=5

-2x=5-3

-2x=2,divide both sides by -2x.

Answer:

what is it you need to solve for, y? x?

Answer:

Step-by-step explanation:

(i)2x+2y=4

We take value of y=\(\frac{4-2x}{2}\)

2x+2(\(\frac{4-2x}{2}\))=4

2x + \(\frac{8-4x}{2}\)=4

\(\frac{4x+8-4x}{2}\) =4  (4x-4x=0)

\(\frac{8}{2}\)=4 -> 4=4=0

2x+2y=4 is 0

(ii)3x+2y=7

y=\(\frac{7-3x}{2}\)

3x+2(\(\frac{7-3x}{2}\))=7

\(\frac{6x+14-6x}{2}\)=7

\(\frac{14}{2}\)=7

7=7=0

Approximately 68.27% of the scores are between 485 and 515.

Since the distribution of scores is not known to be normal, we can use the empirical rule, also known as the 68-95-99.7 rule, to estimate the percentage of scores between 485 and 515.

According to the empirical rule, for a normal distribution:

Approximately 68.27% of the data falls within one standard deviation of the mean.

Approximately 95.45% of the data falls within two standard deviations of the mean.

Approximately 99.73% of the data falls within three standard deviations of the mean.

Given that the sample mean is 500 and the standard deviation is 15, we can consider the interval of one standard deviation on either side of the mean.

Lower bound: 500 - 15 = 485

Upper bound: 500 + 15 = 515

Therefore, approximately 68.27% of the scores are between 485 and 515.

Approximately 68.27% of the scores fall between 485 and 515 based on the assumption that the distribution is approximately normal using the empirical rule.

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Answer:

Lyle and Kyle each shot 18 baskets.

Step-by-step explanation:

Let's represent the number of baskets that Cliff shot with the variable C. Since Lyle shot three times as many baskets as Cliff, we can represent the number of baskets that Lyle shot with 3C. Similarly, since Kyle shot 12 more baskets than Cliff, we can represent the number of baskets that Kyle shot with C + 12.

Since Lyle and Kyle shot the same number of baskets, we can set the expressions 3C and C + 12 equal to each other:

3C = C + 12

Subtracting C from both sides of the equation gives us:

2C = 12

Dividing both sides of the equation by 2 gives us:

C = 6

Since Cliff shot 6 baskets, Lyle and Kyle each shot 3 times as many baskets as Cliff, or 3 * 6 = 18 baskets.

the answer is Lyle and Kyle each shot 18 baskets.

The volume of the solid is approximately 807.08 cubic units.

To determine the volume of the solid, we can use the method of cylindrical shells.

Imagine taking a slice of the solid parallel to the base, with the cross-sectional area being a square of side length x (where x is a function of the height). The volume of this slice is the product of the square area and the height. The height of the slice is equal to the difference in the radii of two consecutive circular cross sections.

The radius of the larger circular cross-section can be found using the Pythagorean theorem, which states that the square of the hypotenuse (the radius) is equal to the sum of the squares of the other two sides (the height and half the side length of the square). Thus, we have:

r² = x² + (15-x)²

Solving for x, we get:

x = 15 * √(1 - (r/15)²)

The volume of the slice is then given by:

V = x² * (15 - x)

To find the total volume of the solid, we integrate this expression with respect to r from 0 to 15. The result is approximately 807.08 cubic units.

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The following is an excerpt from A First Training in Probability by Sheldon Ross. (74) = 35 is the right response.

Total moves required are 7, as follows:

Three steps up as well as four steps right.

Remember that perhaps the number of paths equals the number of arranged 7-tuples with 3 U's and 4 R's. As instance, the word URRURRU indicates to travel up, right, up, right, right, up.

There are 7 ways to arrange these letters, 7 ways to arrange the corresponding Us, and 7 ways to arrange the comparable Rs, for a total of 7!3!4! (74).

For each NxN grid, we may write the following as a generalization of our formula: It should be noted that there's a simpler method of writing this: D = N! / (K! * (N-K))! additionally known as the binomial coefficient.

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Laplace transforms are an essential mathematical tool used to solve differential equations. These transforms transform differential equations to algebraic equations that can be solved easily.

To solve the differential equations given in the question, we will use Laplace transforms. So let's start:Solution:a) y" – y = t y(0) = 1, y'(0) = 1First, we take the Laplace transform of the given differential equation.L{y" - y} = L{ty}

Taking the Laplace transform of both sides gives:L{y"} - L{y} = L{ty}Using the formula, L{y"} = s²Y(s) - s*y(0) - y'(0), and L{y} = Y(s) then we get:s²Y(s) - s - 1 = (1/s²) + (1/s³)Rearranging the above equation, we get:Y(s) = [1/(s²*(s² + 1))] + [1/(s³*(s² + 1))]Now, we apply the inverse Laplace transform to find the solution.y(t) = (t/2)sin(t) + (cos(t)/2)

The solution of the differential equation y" – y = t, with initial conditions y(0) = 1, y'(0) = 1 is y(t) = (t/2)sin(t) + (cos(t)/2).

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The value of the expression according to the order of operations is -11. Thus option D is correct.

According to the statement

We have to find that the value of the given expression.

So, For this purpose, we know that the

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.

From the given information:

The expression are :

(-2)-3-6

Now solve it with the order then

(-2)-3-6 = (-2)-3-6

(-2)-3-6 = -2-3-6

Now add the first two terms

then

(-2)-3-6 = -5-6

Now, Add next two terms

Then

(-2)-3-6 = -11.

The value becomes -11.

So, The value of the expression according to the order of operations is -11. Thus option D is correct.

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The value of the absolute percent error for week 3 is 25.00%.

To calculate the absolute percent error for week 3, we need to find the absolute difference between the forecasted value and the actual value, and then divide it by the actual value. Finally, we multiply the result by 100 to convert it to a percentage.

To find the absolute percent error for week 3, we'll use the formula:

Absolute Percent Error = |(Actual Value - Forecasted Value) / Actual Value| * 100

For week 3:

Actual Value = 4.00

Forecasted Value = 3.00

Absolute Percent Error = |(4.00 - 3.00) / 4.00| * 100

= |1.00 / 4.00| * 100

= 0.25 * 100

= 25.00

Therefore,For week three, the absolute percent error value is 25.00%.

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Answer:

7 is D and 8 is D

Step-by-step explanation:

I'm assuming you were asked for the volume of both of these.

7. The area of the trapezoid is 18 then multiply by the length of 8 to get 144 units cubed.

8. The area of the trapezoid is 28 then multiply by the length of 14 to get 392 units cubed.

The volume of the acquarium is the amount of water in it.

The volume of the acquarium is 450 cubic inches

The given parameter is:

Height = 9 inches

Start by calculating the area of the base of the acquarium.

This gives

Area = 8 * 4 + 0.5 * 12 * (7 - 4)

Evaluate the products

Area = 32 + 18

Evaluate the sum

Area = 50

The volume is then calculated qs:

Volume = Area * Height

This gives

Volume = 50 * 9

Evaluate

Volume = 450

Hence, the volume of the acquarium is 450 cubic inches

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Answer:

558 in³ for K12

Answer:1.3

Step-by-step explanation:

To find the probability that the ratio of the shorter to the longer segment is less than 1/4 when a point is chosen randomly on a line segment of length 'l,' we can consider the following approach.

Let's denote the position of the chosen point by 'x' where 0 ≤ x ≤ l represents the distance from one end of the line segment.

The ratio of the shorter segment to the longer segment will be less than 1/4 if 'x' lies in the interval (0, l/5).

This is because any point within this interval will divide the line segment into two parts such that the shorter segment is less than 1/4 of the longer segment.

The length of the interval (0, l/5) is l/5, and the total length of the line segment is 'l.' Therefore, the probability of choosing a point within the interval (0, l/5) is given by (l/5) / l = 1/5.

Hence, the probability that the ratio of the shorter to the longer segment is less than 1/4 is 1/5 or 0.2.

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The median is greater than the mean. From the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean.

In the given chart we can deduce the following;

These numbers can be listed as follows;

5, 6, 7, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12

The median of these numbers is calculated as;

\(median = \frac{9+ 10}{2} = 9.5\)

The mean of these numbers is calculated as;

\(mean = \frac{5+6+7+8+9+9+9+10+10+10+10+11+11+12}{14} = 9.07\)

Thus, the median is greater than the mean.

Also, from the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean. But if the distribution is skewed to the right, the mean is always greater than the median.

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The solutions to the inequality -5 < 9 - 6x is x ≤ 7/3.

What is inequality?

In mathematics, the term 'inequality' is defined as a statement or equation with an ordered relationship like greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now the given inequality is,

-5 < 9- 6x

Adding 5 both the side we get,

5 - 5 < 9 - 6x + 5

⇒ 0 < 14 - 6x

⇒ 14 - 6x > 0

Dividing both the side by 6 we get,

⇒ 14 < 6x

⇒ x > 14/6 = 7/3

or, x ≤ 7/3

this is the required solution of the given inequality.

Thus, the solutions to the inequality -5 < 9 - 6x is x ≤ 7/3.

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Answer:

The price of a child ticket in dollars $8.00

Step-by-step explanation:

Given that John climbs a height of \($(x + 5)$\) miles in \($(x - 1)$\) hours and Jane climbs a height of \($(x + 11)$\) miles in \($(x + 1)$\) hours. We know that the distance covered by both John and Jane are equal.

Distance covered by John = Distance covered by Jane

Therefore, \($(x + 5) = (x + 11)$\)

Thus, x = 6

Now, we need to find the speed of both, which is given by the formulae:

Speed = Distance / Time

So, speed of John = \($(x + 5) / (x - 1)$\) Speed of John =\($11 / 5$\) mph

Similarly, speed of Jane = \($(x + 11) / (x + 1)$\)

Speed of Jane = \($17 / 7$\) mph

Since both have to be equal, Speed of John = Speed of Jane Therefore,

\($(x + 5) / (x - 1) = (x + 11) / (x + 1)$\)

Solving this equation we get ,x = 2Speed of John = \($7 / 3$\) mph

Speed of Jane = \($7 / 3$\) mph

Thus, their speed was \($7 / 3$\) mph.

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The measure of a central angle is equal to the measure of the intersected arc.

Then, arc CD is equal to 55º

Arc EDC is equal to the sum of ars CD and DE:

Answer:

A. x(x + 7)²

Step-by-step explanation:

Step 1: Write out polynomial

x³ + 14x² + 49

Step 2: Factor out x

x(x² + 14x + 49)

Step 3: Factor out quadratic

x(x + 7)²

200 L contains 35% fruit juice

Let us find the quantity of the juice in it

Then 200 L of the punch contains 70 L of juice

Since 300 L added, then the total of the mixture will be

300 + 200 = 500 L

This 500 L contains 20% of Juice

Let us find it

Then 500 L of the punch contains 100 L of juice

Let us subtract the amount of juice of the 200 L from it to find the amount of juice in the 300 L

100 - 70 = 30 L

Then the 300 L of the punch contains 30 L of juice

We need to find its percentage, then divide it by the total 300, then multiply the answer by 100%

Multiply it by 100%

The percentage of juice in the 300 L of punch is 10%

The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].

Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.

Let A is a 3 x 5 matrix and B is a 5 x 7 matrix

We know that matrix multiplication of A and B is possible if

Number of columns of A = Number of rows of B

Since in the given problem

Number of columns of A = Number of rows of B = 5

So the product is possible

Now the product AB is a matrix of order 3 × 7

Now the order of the product AB is 3 × 7

If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.

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Step-by-step explanation:

<_________-9_________>

this way

<less than

>greater than

your welcome gimme points

Answer:

I'm not completely sure, but I hope this helps.

Regression analysis asks a) how a single variable depends on other relevant variables. Regression analysis is a statistical approach that attempts to find a relationship between two variables. Hence, option a) is the correct answer.

The aim is to investigate how one variable depends on another or several other variables, as the case may be. It is used to understand and predict the relationships between variables that are not directly related. The technique can be used to test hypotheses about relationships between two or more variables.

The equation of the line is then used to predict the value of the dependent variable for any given value of the independent variable. Polynomial regression is used when the relationship between two variables is nonlinear. It is used to find the best-fit curve that passes through the data points. Multiple regression is used when there are two or more independent variables.

The goal is to find the best-fit line that passes through the data points in multidimensional space. Logistic regression is used when the dependent variable is dichotomous (binary). It is used to find the best-fit line that separates the two classes of data points.

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Answer:

What do u have to do. I don’t see a point on the graph

Step-by-step explanation:

Answer:

might have to draw a line through it but here are the points

Step-by-step explanation:

The answer to this question is not as simple as a yes or no.

To determine if the medical care system is more efficient today than in the past, we must look at the effectiveness of the system in terms of both quality and cost. In terms of quality, today's medical care has certainly improved. Healthcare professionals are more extensively trained, technology has advanced, and medical practices are more evidence-based. In terms of cost, however, it is difficult to measure efficiency. While advancements in technology and research may have improved the quality of care, they have also driven up the cost of medical care. The cost of medical care has been increasing faster than inflation and wages. It is difficult to determine if the medical care system is more efficient today than in the past without taking into account both quality and cost.

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