Solve for u in terms of s, t, v, and w. wv=sut

Answer:

Amdjss

Step-by-step explanation:

Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D

The independent variable (x) in this scenario is the number of concert tickets purchased by Marcus. It represents the quantity of tickets he buys and influences the total cost of his purchase.

In this case, Marcus's purchase of concert tickets involves two components: the cost per ticket and the convenience fee charged by Ticketmaster. The cost per ticket remains constant at $23.50. However, the convenience fee of $12.50 is applied per transaction, regardless of the number of tickets purchased.

To determine the total cost, the number of tickets Marcus buys is the independent variable (x). It represents the quantity of tickets he chooses to purchase and has an impact on the total expense. By multiplying the cost per ticket by the number of tickets and adding the convenience fee, Marcus can calculate the final cost of his concert tickets.

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Answer:

y = 3x - 5

Step-by-step explanation:

Point-slope form: y - y₁ = m(x - x₁)

Substitute the values for the variables.

y - 7 = 3(x - 4)

y - 7 = 3x - 12

y = 3x - 5

Answer:

good luck

Step-by-step explanation: you gonna need it UvU

Let P be a number. We have to check whether it is a prime number or not.

Let us consider that P is not a prime number.

Hence, P can be represented as a product of two of its factors other than itself and 1.

Let those two numbers be x and y.

Hence, we can write,

P = x*y

Without the loss of generality, we can write,

x < y

Multiplying both the sides of the inequality by x, we can write,

\(x^2\) < x*y = P

Square rooting on both the sides of inequality, we get,

x < \(\sqrt{P}\)

Hence, if there is a number which is a factor of P, that will be less than \(\sqrt{P}\).

That's why we check for prime number only up to square root of number rather than half the number.

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The function f^(-1)(P) allows us to find the time at which the population reaches a certain value, given the growth model provided by f(t).This means that the population will be 20 million in approximately 34.657 years.

We set P equal to f(t):
P = 10e^(0.02t)
ln(P/10) = 0.02t
t = (1/0.02) ln(P/10)
t = 50 ln(P/10)
f^(-1)(P) = 50 ln(P/10).

This function gives us the time (in years) at which the population is equal to P million. So, for example, if we want to know when the population is 20 million, we can plug P = 20 into the formula:
f^(-1)(20) = 50 ln(20/10) = 34.657

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Answer: See explanation

Step-by-step explanation:

Your question wasn't well written but I saw an identical question so let me help out.

a. Jada has a meal in a restaurant she adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. When the check comes, it says they also need to pay $3.99 in sales tax. what percentage of the subtotal is the sales tax?

b. They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?

a. Subtotal = $42.00

Tax = $3.99

Percentage of subtotal that is sales tax will be:

= Sales tax/Subtotal × 100

= 3.99/42.00 × 100

= 9.5%

b. Tip = $7

Sub total = $42

The percentage of the subtotal that is the tip will be:

= Tip/Sub total × 100

= 7/42 × 100

= 16.67%

The problem asks to find how many problems Nona has left to do if he solved 30 problems and completed 5/12 of his homework on Monday and 1/3 of his homework on Tuesday.

On Monday, Nona did 5/12 of his RSM homework, which means he has 1 - 5/12 = 7/12 of the homework left to do. If he solved 30 problems already, then the total number of problem is:

30 = (5/12)x + (1/3)x

30 = (15/36)x + (12/36)x

30 = (27/36)x

x = (30 × 36)/27

x = 40

So Nona has a total of 40 problems to do. He has already solved 30 problems, so he has 40 - 30 = 10 problems left to do.

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There are 10 possible outcomes in the sample space.

To determine the number of outcomes in the sample space, we need to consider the number of possible sequences of paint jars the painter can try before finally obtaining the purple color.

Since the painter does not repeat any of the jars, we can count the outcomes by considering the possible positions of the purple jar within the sequence.

In the first attempt, there are 4 different jars she can choose from.

If the purple jar is not chosen in the first attempt, there are 3 remaining jars she can choose from in the second attempt.

If the purple jar is not chosen in the second attempt, there are 2 remaining jars she can choose from in the third attempt.

If the purple jar is not chosen in the third attempt, there is only 1 remaining jar she can choose from in the fourth attempt.

Since the purple jar must be chosen at some point, it will be one of the four attempts. Therefore, the total number of outcomes in the sample space is the sum of the outcomes at each step:

4 + 3 + 2 + 1 = 10

So, there are 10 possible outcomes in the sample space.

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The value of Function f(x) =  5x²+ 3x + 1 at x=2 is 27.

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

Given:

We have the Function as

f(x) = 5x²+ 3x + 1

Now, we have to find value of function at x= 2 so

f(x) = 5x²+ 3x + 1

f(2) = 5(2)²+ 3(2) + 1

f(2) = 5(4)+ 6 + 1

f(2) = 20 + 7

f(2)= 27

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Answer:

what? did you type this wrong?

Step-by-step explanation:

Answer:

(0, 4)

Step-by-step explanation:

Let's solve the equation 3y - 2x = 12 to find the correct ordered pair.

Given: 3y - 2x = 12

To find the ordered pair, we can assign a value to one variable and solve for the other variable.

Let's assign x = 0:

3y - 2(0) = 12

3y = 12

y = 12/3

y = 4

Therefore, the correct ordered pair for the equation 3y - 2x = 12 is (0, 4).

The ordered pair for the equation 3y - 2x = 12 is (0, 4) and the ordered pairs (0, -4). (6, 2) does not satisfy the equation.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\(\boxed{\bold{\text{m}=\dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}}}\)

Given the equation:

Plug x = 0 and y = 4

\(\sf 3(4) - 2(0) = 12\)

\(\boxed{\bold{12 = 12 \ (true)}}}\)

Similarly for checking the other ordered pairs.

Thus, the ordered pair for the equation 3y - 2x = 12 is (0, 4) and the ordered pairs (0, -4). (6, 2) does not satisfy the equation.

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This is the simplified form of the expression, taking into account the condition given.

(a) To expand the expression "bij bij", we need to remember that "bij" represents a constant or a variable.

Expanding "bij bij" means multiplying the expression by itself:

bij bij = bij * bij

This is the simplified form of the expression, and it cannot be simplified further unless we have more information about the values of "bij".

(b) To expand the expression "bij yi yj", we need to remember that "bij" represents a constant or a variable, and "yi" and "yj" represent variables or functions.

Expanding "bij yi yj" means multiplying all the terms together:

bij yi yj = bij * yi * yj

Again, this is the simplified form of the expression, and it cannot be simplified further unless we have more information about the values of "bij", "yi", and "yj".

(c) To expand the expression "bij yi yj" when bij = -bji for i is not equal to j only, we need to consider the condition that bij = -bji.

Since bij = -bji, we can substitute -bji for bij in the expression:

bij yi yj = (-bji) yi yj

Now, we can simplify further by distributing the negative sign:

(-bji) yi yj = -bij yi yj

This is the simplified form of the expression, taking into account the condition given.

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I see positive 2 and positive 4, I also see Negative 1 and Negative 3, try to make an equation with those numbers.

The values of following in parallel lines are:

Angle 3 and Angle 6 are an example of corresponding angles. (Option D is the correct answer).

Angle 1 and Angle 5 are an example of corresponding angles. (Option D is the correct answer).

Angle 6 and Angle 7 are an example of alternate interior angles. (Option B is the correct answer).

Angle 28 would not be congruent to the measure of 27. (Option A is the correct answer).

Angle 41 and Angle 23 are an example of corresponding angles. (Option D is the correct answer).

Option B: 23 is not an example of supplementary angles.

Angle 22 is vertical to Angle 27. Therefore, m22 = m27 = 115°.

Angle 23 and Angle 25 are alternate interior angles, so they are congruent. Therefore, m23 = m25 = 63°.

Angle 1 and Angle 26 are corresponding angles, so they are congruent. Therefore, mz1 = mz6 = 57°.

Parallel lines are two or more lines in a plane that never intersect each other, no matter how far they are extended. In other words, they are always at the same distance from each other and never cross.

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Answer:

B, C, D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

C, D, E

Step-by-step explanation:

2(4f + 2g) = 8f + 4g

C: 8f + 4g

D: 4(2f + g) = 8f + 4g

E: 4f + 4f + 4g = 8f + 4g

Answer:

$1,159.69

Step-by-step explanation:

Compound Interest Formula :

Solving :

given angle pair forms co - exterior angle pair. and are supplementary.

x + 8 + 3x + 2 = 180

4x + 10 = 180

4x = 170

x = 42.5°

The eigenvalues of A are λ1 = 1 and λ2 = -5, and the corresponding unit eigenvectors are u1 = [1, 1] and u2 = [-1, 1].

We have the matrix,

\(\[ A = \begin{bmatrix}-2 & 3 \\3 & -2 \\\end{bmatrix} \]\)

To find the eigenvalues, we need to solve the characteristic equation:

\(\[ \text{det}(A - \lambda I) = 0 \]\)

where \(\( \lambda \)\) is the eigenvalue and I is the identity matrix.

Substituting the values from matrix A into the characteristic equation, we have:

\(\[ \begin{vmatrix}-2 - \lambda & 3 \\3 & -2 - \lambda \\\end{vmatrix} = 0 \]\\\\Expanding the determinant, we get:\\\[ (-2 - \lambda)(-2 - \lambda) - 3 \cdot 3 = 0 \]\)

Simplifying the equation:

\(\[ (\lambda + 2)(\lambda + 2) - 9 = 0 \]\[ \lambda^2 + 4\lambda + 4 - 9 = 0 \]\[ \lambda^2 + 4\lambda - 5 = 0 \]\)

Using the quadratic formula to solve for  \(\( \lambda \),\) we have:

\(\[ \lambda = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]\)

Substituting the values ( a = 1 ), ( b = 4 ), and ( c = -5 ) into the quadratic formula, we get:

\(\[ \lambda = \frac{-4 \pm \sqrt{4^2 - 4(1)(-5)}}{2(1)} \]\[ \lambda = \frac{-4 \pm \sqrt{16 + 20}}{2} \]\[ \lambda = \frac{-4 \pm \sqrt{36}}{2} \]\[ \lambda = \frac{-4 \pm 6}{2} \]\)

This gives us two eigenvalues:

\(\[ \lambda_1 = 1 \quad \text{(A1)} \]\\\\\ \lambda_2 = -5 \quad \text{(A2)} \]\)

To find the associated unit eigenvectors, we need to solve the equations:

\(\[ (A - \lambda I)u = 0 \]\)

For \(\( \lambda_1 = 1 \)\), we have:

\(\[ \begin{bmatrix}-2 - 1 & 3 \\3 & -2 - 1 \\\end{bmatrix} \begin{bmatrix}u_{11} \\u_{21} \\\end{bmatrix} = \begin{bmatrix}0 \\0 \\\end{bmatrix} \]Simplifying the equation, we get:\[ \begin{bmatrix}-3 & 3 \\3 & -3 \\\end{bmatrix} \begin{bmatrix}u_{11} \\u_{21} \\\end{bmatrix} = \begin{bmatrix}0 \\0 \\\end{bmatrix} \]\)

This leads to the system of equations:

-3u₁₁ + 3u₂₁ = 0

3u₁₁ - 3u₂₁ = 0

Simplifying further, we have:

u₁₁ - u₂₁ = 0

u₁₁ - u₂₁ = 0

This implies that

u₁₁ = u₂₁ = u₁, where u₁ is a constant.

Therefore, the eigenvector associated with \(\( \lambda_1 = 1 \)\) is:

\(1 \\1 \\\end{bmatrix} \]\)

To find the unit eigenvector, we normalize \( u_1 \) by dividing it by its magnitude:

\(\[ u_1 = \frac{1}{\sqrt{2}} \begin{bmatrix}1 \\1 \\\end{bmatrix} \]\)

For \(\( \lambda_2 = -5 \)\), we have:

\(\[ \begin{bmatrix}-2 - (-5) & 3 \\3 & -2 - (-5) \\\end{bmatrix} \begin{bmatrix}u_{12} \\u_{22} \\\end{bmatrix} = \begin{bmatrix}0 \\0 \\\end{bmatrix} \]\)

Simplifying the equation, we get:

\(\[ \begin{bmatrix}3 & 3 \\3 & 3 \\\end{bmatrix} \begin{bmatrix}u_{12} \\u_{22} \\\end{bmatrix} = \begin{bmatrix}0 \\0 \\\end{bmatrix} \]\)

This leads to the system of equations:

3u₁₂ + 3u₂₂ = 0

3u₁₂ + 3u₂₂ = 0

Simplifying further, we have:

u₁₂ + u₂₂ = 0

u₁₂ + u₂₂ = 0

This implies that u₁₂ = -u₂₂ = u₂, where u₂ is a constant.

Therefore, the eigenvector associated with \(\( \lambda_2 = -5 \)\) is:

\(1 \\-1 \\\end{bmatrix} \]\)

To find the unit eigenvector, we normalize u₂ by dividing it by its magnitude:

\(\[ u_2 = \frac{1}{\sqrt{2}} \begin{bmatrix}1 \\-1 \\\end{bmatrix} \]\)

In summary:

Eigenvalue -

\(\( \lambda_1 = 1 \) (A1) with associated unit eigenvector \( u_1 = \frac{1}{\sqrt{2}} \begin{bmatrix}1 \\1 \\\end{bmatrix} \).\)

Eigenvalue -

\(\( \lambda_2 = -5 \) (A2) with associated unit eigenvector \( u_2 = \frac{1}{\sqrt{2}} \begin{bmatrix}1 \\-1 \\\end{bmatrix} \).\)

Note: The eigenvectors u₁ and u₂ form an orthonormal eigenbasis for the column space of matrix A.

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Answer:

To use the empirical rule, we first need to standardize the value of 16.1 using the formula:

z = (x - mu) / sigma

where x is the value we want to standardize, mu is the mean, and sigma is the standard deviation.

z = (16.1 - 10.4) / 1.91

z = 2.99

Now, we can use the empirical rule to estimate the probability:

About 68% of meerkats have lifespans within one standard deviation of the mean. This means that about 34% have lifespans less than 10.4 + 1.91 = 12.31 years.

About 95% of meerkats have lifespans within two standard deviations of the mean. This means that about 47.5% have lifespans less than 10.4 + 2 * 1.91 = 14.22 years.

About 99.7% of meerkats have lifespans within three standard deviations of the mean. This means that about 49.85% have lifespans less than 10.4 + 3 * 1.91 = 16.13 years.

Therefore, we can estimate that the probability of a meerkat living less than 16.1 years is about 49.85%.

Hence the general term of the given quadratic number pattern is given by Tn = n²+4n-12 is verified.

The number pattern = -7,0,9,20

Let the general term of the given quadratic number pattern is given by

Tn = an²+bn + c

When T = -7; n = 1

⇒ -7 = a(1)² +b (1) +6

⇒ a + b + c=-7 -----------1

At n=2, T₂ = 0

⇒ 0 = a(2)²+b(2)+c

4a+2b+c=0 ---------------2

At n=3, T = 9

⇒ 9 = a(3)²+b(3) +c

⇒ 9a+3b+c= 9 ---------3

Subtracting 3 from 2

⇒-5a-b = -9 --------4

Subtracting 2 from 1

-3a-b = -7  -----------5

Subtracting 5 from 4

2a = 2

⇒ a=1

Using eq 5, we get

-3(1) - b = -7

-b = -7 + 3

b = 4

From eq 1, a + b + c=-7 we get the value of c,

1 + 4 + c = -7

c = -7 -5

c = -12

substitute the values of a, b, and c in Tn = an²+bn + c

Tn = n² + 4n - 12

Hence the general term of the given quadratic number pattern is given by Tn = n²+4n-12.

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To solve this problem, we can use a system of equations. Let's denote the amount of 0.72 beans as x and the amount of 0.52 beans as y.

From the given information, we have two equations:
Equation 1: x + y = 110  (since 110 pounds of beans are used in total)
Equation 2: (0.72x + 0.52y) / 110 = 0.74  (since the mixture is worth 0.74 a pound)
To solve this system of equations, we can use the method of substitution. Let's solve Equation 1 for x:

x = 110 - y.
Now we substitute x in Equation 2 with 110 - y:
(0.72(110 - y) + 0.52y) / 110 = 0.74
Simplifying this equation, we get:
79.2 - 0.72y + 0.52y = 81.4
Combine like terms:
0.52y - 0.72y = 81.4 - 79.2
-0.20y = 2.2
Divide both sides by -0.20:
y = -2.2 / -0.20
y = 11
Substituting the value of y back into Equation 1:
x + 11 = 110
x = 110 - 11
x = 99
Therefore, 99 pounds of 0.72 beans and 11 pounds of 0.52 beans are used in the mixture.
99 pounds of 0.72 beans and 11 pounds of 0.52 beans are used in the mixture.
To solve this problem, we used a system of equations to represent the given information. We assigned variables to the amounts of 0.72 beans and 0.52 beans used in the mixture.

By setting up two equations based on the total weight of the beans and the average price per pound, we were able to solve for the values of x and y.

Using the method of substitution, we substituted the value of x in Equation 2, simplified the equation, and solved for y. Then, we substituted the value of y back into Equation 1 to solve for x.

The final solution showed that 99 pounds of 0.72 beans and 11 pounds of 0.52 beans were used in the mixture.
The solution we obtained is reasonable because it satisfies both equations and meets the given conditions.

The total weight of the beans (99 + 11 = 110) matches the given total weight, and the average price per pound

(0.72 × 99 + 0.52 × 11) / 110 = 0.74 matches the given average price.

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The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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Answer:

English translate for my help please??!

Step-by-step explanation:

On soloing the provided question, we can say that an equation from the graphs for the function. 3x + 13.5y = 4.5 and x+1.5y = 2

Mathematicians use graphs to logically represent or chart facts or values. Typically, a graph point will show the relationship between two or more objects. A graph is a non-linear data structure made up of nodes, or vertices, and edges. The nodes, also known as vertices, should be joined with glue. This graph's vertices are 1, 2, 3, and 5, while its edges are 1, 2, 1, 3, 2, 4, and 2.5. (3.5). (4.5). Graphical depictions of exponential growth in statistical charts (bar charts, pie charts, line charts, etc.). triangle-shaped logarithmic graph.

an equation for the function.

3x + 13.5y = 4.5

and x+1.5y = 2

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Answer:3402

Step-by-step explanation:

Given,

\(f(x) = 3 - x\)

and

\(g(x) = -2x\)

Now,

\(g(2) = - 2(2) = - 4\)

\(f(g(2)) = 3 - ( - 4) = 3 + 4 = 7\)

The rate of change (slopes) and initial value (y-intercepts) are as follows:

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):

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