I don’t understand this I need help please

t approaches infinity then salt is:

\(Q(\infty) = 18lb\)

What is volume?

Volume is a mathematical term used to describe how much three-dimensional space an object or closed surface occupies. Volume is measured in cubic units like m3, cm3, in3, etc. Volume is sometimes referred to as capacity.

The amount of salt in the barrel at time t is given by

where Q(t) is in pounds and time t is in minutes.

(a) Salt after 5 minutes i.e. t=5

\(Q(5) = 18(1 - e^{-0.08(5)} ) = 18(1 - e^{-0.4})\\\\Q(5) = 18(1 - 0.6703) = 5.93 \\\\Q(5) = 5.93lb\)

(b) Salt after 10 minutes i.e. t=10

\(Q(10) = 18(1 - e^{-0.08(10)} ) = 18(1 - e^{-0.8} )\\\\Q(10) = 18(1 - 0.4493 ) = 9.91\\\\Q(10) = 9.91lb\)

(d) When t becomes large, let say when t approaches infinity then salt is

\(Q(\infty) = 18(1 - e^{-0.08(\infty)} ) = 18(1- e^{-\infty})\\\\Q(\infty) = 18(1 - 0) = 18\\\\Q(\infty) = 18lb\)

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Step-by-step explanation:

Rewrite 9x2 as (3x)2

.

(3x)2+24x+16

Rewrite 16

as 42

.

(3x)2+24x+42

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

24x=2⋅(3x)⋅4

Rewrite the polynomial.

(3x)2+2⋅(3x)⋅4+42

Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2

, where a=3x and b=4

.

(3x+4)2

Answer:

\($\frac{1}{1029} $\)

Step-by-step explanation:

\($\frac{\sqrt[3]{343^{-3}}}{\sqrt[4]{81} } $\)

\($\boxed{\text{Property: } a^{-b}=\frac{1}{a^{b}}} $\)

\($\frac{\sqrt[3]{\frac{1}{343^{3}} }}{\sqrt[4]{81} } $\)

\($\frac{\frac{\sqrt[3]{1} }{\sqrt[3]{343^3} } }{\sqrt[4]{81} } $\)

\($\frac{\frac{1 }{343} }{3} $\)

\($\frac{342 \cdot \frac{1 }{343} }{343 \cdot 3} $\)

\($\frac{1}{1029} $\)

The dependent variable of interest in examining whether the degree of parental involvement differs based on students' grade in school is the degree of parental involvement.

In this scenario, the independent variable is the students' grade in school (i.e., first, second, third, etc.). The dependent variable is the variable that is expected to be influenced by the independent variable. In this case, the dependent variable of interest is the degree of parental involvement.

The degree of parental involvement refers to the level or extent to which parents are engaged in their child's education and school-related activities. It can encompass various aspects, such as attending parent-teacher meetings, volunteering at school, helping with homework, and participating in school events.

By examining whether the degree of parental involvement differs based on students' grade in school, researchers or educators aim to explore any potential patterns or differences in parental involvement as children progress through different grade levels. This investigation can provide insights into how parental involvement may vary across grade levels and inform strategies to enhance parental engagement in education at specific stages of a child's schooling. Thus, the dependent variable of interest is the degree of parental involvement.

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It is given that the longer leg is 4 cm longer than the shorter leg.

It is also given that the hypotenuse is 8 cm longer than the shorter leg.

Let the shorter leg be x.

The longer leg be y.

Then the relation formed is

It is also given that the hypotenuse is 8 cm longer than the shorter leg.

Let the hypotenuse is z.

Then the perimeter of the right triangle is the sum of all the sides.

But to find the value of x , use the Pythagoras theorem.

Substitute the values.

Solve the quadratic equation to find the value of x.

As x cannot be negative , then the value of x is 12.

The length of shorter leg is 12.

The length of longer leg is 12+4=16.

The hypotenuse is 12+8=20.

Now , the perimeter of right triangle is

The perimeter of the triangle is 48 cm.

Step-by-step explanation:

I think it's option B is the correct answer of this question.

Answer:

B C E

Step-by-step explanation:

A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).

A graph is a visual representation of data or a mathematical function, which is often used to show the relationship between variables or to illustrate trends over time.

In the options given, the three graphs that show functions with direct variation are represented by straight lines passing through the origin, indicating that there is a direct relationship between the two variables. Specifically:

Thus, these graphs show functions with direct variation.

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Your question seems incomplete, the probable complete question is:

Which graphs show functions with direct variation? Select three options. A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4). A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5). A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6). A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8). A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).

Answer:

y=42 and x=48

Step-by-step explanation:

Answer:

Step-by-step explanation:

The  preservation/list school, led by naturalist John muir, wanted wilderness areas on some public lands to be left untouched.

A naturalist lifestyle is a term that connote that a person is making or developing values that makes or forms empathy and caring in regards to nature.

Therefore, The  preservation/list school, led by naturalist John muir, wanted wilderness areas on some public lands to be left untouched.

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Answer:

Step-by-step explanation:

25*8=200 soooooooooo 200=22x divide 22 on both sides and you get x=100/11

Answer:

25×8=200

200÷22x

x=9,09

therefore x=9,1

Part a:  [In⁻]/[HIn] = 4.0 × 10⁻⁶

Part b: [In⁻]/[HIn] = 50.11, for the given phenolphthalein solution.

Using the Henderson-Hasselbalch equation to determine the indicator's pH  is as follows:

pH = pKa + log[In⁻]/[HIn]

In which,

Ka = dissociation constant of acid.

As the stated value-

Part a:

pKa = 9.7

pH = 5.3

Thus,

5.3 = 9.7 + log[In⁻]/[HIn]

log[In⁻]/[HIn]  = - 4.4

[In⁻]/[HIn] = Antilog (-4.4)

[In⁻]/[HIn] = 4.0 × 10⁻⁶

Part b:

pKa = 9.7

pH = 11.4

Thus,

11.4 = 9.7 + log[In⁻]/[HIn]

log[In⁻]/[HIn]  = 1.7

[In⁻]/[HIn] = Antilog (-4.4)

[In⁻]/[HIn] = 50.11

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Answer: i feel like all of them but dont go by my word

Step-by-step explanation:

By using Chebyshev's Inequality with K=3, we can determine that at least 88.89% of the days had temperatures between "F and "F, where "F represents the mean temperature of 76.4°F.

Chebyshev's Inequality provides a lower bound on the proportion of data that falls within a certain number of standard deviations from the mean. In this case, K=3 means that we are considering a range of three standard deviations from the mean.

The inequality states that for any dataset, the proportion of data falling within K standard deviations of the mean is at least 1 - (1/K^2). So, for K=3, we have 1 - (1/3^2) = 1 - (1/9) = 8/9 ≈ 0.8889. Therefore, at least 88.89% of the data falls within three standard deviations of the mean.

In the context of the temperature data, we can conclude that at least 88.89% of the days had temperatures between the mean temperature of 76.4°F minus three standard deviations (76.4 - 3 * 7.3) and the mean temperature plus three standard deviations (76.4 + 3 * 7.3). This range represents a relatively high proportion of the dataset, indicating that the temperature observations are fairly concentrated around the mean with limited extreme values.

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There are 30240 different ways can he arrange the five posters out of the ten on his closet door

The given parameters are:

The number of ways is calculated as:

Ways =\(^nP_r\)

This gives

Ways =\(^{10}P_5\)

Apply the permutation formula

Ways = 30240

Hence, there are 30240 different ways can he arrange the five posters out of the ten on his closet door

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Answer:

if \(p ( x ) = x^2 + 7 x + 3\) is divided by \(x + 4\), the remainder is -9

Step-by-step explanation:

We need to find the remainder if \(p ( x ) = x^2 + 7 x + 3\) is divided by \(x + 4\)

Dividing \(p ( x ) = x^2 + 7 x + 3\) by \(x + 4\)

The division is shown in figure attached.

The remainder = -9

The quotient = x+3

So, if \(p ( x ) = x^2 + 7 x + 3\) is divided by \(x + 4\), the remainder is -9

The dimensions that minimize the length of fencing needed are approximately 28.28 feet by 28.28 feet, creating a square-shaped playground.

To minimize the length of fencing needed for the enclosure, we need to find the dimensions that maximize the area of the playground. Since one side of the playground is already bordered by the school building, we can focus on the remaining three sides.

Let's assume the length of the playground parallel to the school building is L, and the width perpendicular to the school building is W. The area of the playground can be expressed as A = L * W.

Given that the total area of the enclosure is 800 square feet, we have the constraint L * W = 800.

To minimize the length of fencing needed, we want to maximize the area A. This occurs when the length and width are as close as possible to each other. In other words, we want to find the dimensions that form a square shape.

In a square, the length and width are equal, so we can solve the constraint equation L * L = 800.

Taking the square root of both sides, we find L = √800 ≈ 28.28 feet.

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Finally, using the initial conditions y(0) = 8 and y'(0) = 6, we can solve for the constants A and B to get

y(t) = (8/3)*cos((3/2)*sqrt(2)*t) + (16/3)*sin((3/2)*sqrt(2)*t).

To find y as a function of t, we first need to solve the differential equation 8y" + 27y = 0. We can do this by assuming a solution of the form y(t) = A*cos(wt) + B*sin(wt),

where A and B are constants and w is the angular frequency. We can then differentiate y(t) twice to find y'(t) and y''(t), and substitute these into the differential equation to get the equation 8(-w^2*A*cos(wt) - w^2*B*sin(wt)) + 27(A*cos(wt) + B*sin(wt)) = 0.

Simplifying this equation gives us the equation

(-8w^2 + 27)*A*cos(wt) + (-8w^2 + 27)*B*sin(wt) = 0.

Since this equation must hold for all t, we must have (-8w^2 + 27)*A = 0 and (-8w^2 + 27)*B = 0.

Solving for w gives us w = (3/2)*sqrt(2) and

w = -(3/2)*sqrt(2).

Plugging these values into our solution for y(t) gives us

y(t) = (8/3)*cos((3/2)*sqrt(2)*t) + (16/3)*sin((3/2)*sqrt(2)*t).

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Answer:

Step-by-step explanation:

These angles are equal because the parallel lines are traversed by a straight line.

17x-6=15x+10 add 6 to each side

17x=15x+16. Subtract 15x from each side

2x=16. divide each side by 2

x=8

Answer:

10 outcome is the answer

Answer:

1/4 or 0.25

Step-by-step explanation:

The expression that will represent the number of items sold is 4. 0.5x+8

An expression is used to illustrate the relationship between the variables that are given.

In this case, the income can be represented by the expression is 0.5x² + 8x.

The items sold will be:

= Total income / x

= (0.5x² + 8x) / x

= 0.5x + 8

In conclusion, the correct option is 4.

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Answer:

9

Step-by-step explanation:

Answer:

i belive the awnser is 9

Step-by-step explanation:

Answer:

The true statements are the first three.

Step-by-step explanation:

First statement

According to pythagorus's theorem, the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. This is what the first statement says, so it is true.

Second statement

The 4 blocks north and 8 blocks east Mary travels can be drawn as shown below. If we construct a direct line from the start to the end of her journey, we now have a right-angled triangle, with this direct line as the hypotenuse. So we can use pythagorus's theorem, as explained above, to find the length of this line.

The sum of the squares of the other two sides is: 4²+8²=16+64=80

So the hypotenuse, or direct line, is the square root of this: √80=√(4²)(5)=4√5.

This distance divided by √5 is in fact 4, so the second statement is true.

Third statement

The distance Mary would travel in a direct line is 4√5 which is equal to roughly 8.944, which is just under 9blocks. So the third statement is also true.

Fourth statement

We have figured out that the first three statements are true, so the claim none of them are true is false.

Hope this helps! Let me know if you have any questions :)

To reduce the effects of outliers on linear least squares fitting, we can use an adaptive weighting scheme. The approach involves initializing all weight values to 1.0 and placing them as diagonal values of an n × n matrix W. All off-diagonal values of W are set to zero. We then initialize the line coefficients to large real values.

Next, we use an iterative approach to update the weights and re-estimate the line coefficients. In each iteration, we calculate the residuals (i.e., the difference between the observed and predicted values) and use them to update the weights. Specifically, we set wi = 1/(residuali^2), where residual is the residual for the ith data point. We then update the weight matrix W with the new weight values.

We then solve the weighted least squares problem for coefficients c using the normal equations approach. This involves multiplying the transpose of the design matrix X with the weight matrix W and the response vector y and then solving for c using the resulting equation: (X^T)WXc = (X^T)Wy.

We repeat the above steps until convergence or until we reach a predetermined maximum number of iterations. Finally, we output the coefficients c of the initial fit and of the final fit. The initial fit is obtained using the original weight matrix with all values set to 1.0, while the final fit is obtained using the converged weight matrix with updated weight values.

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Answer: City M is colder than city L because -7° F>-2° F

Step-by-step explanation:

Answer:

City M was colder than City L because −7° F < −2° F

Step-by-step explanation:

-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7

The farther right you go, the greater the number The farther left you go, the smaller the number

-7 is farther left than -2, so -2 is greater

A medium-sized orange contains 68 calories. Which is one-fifth the number of calories in a slice of cheese pizza.

If one slice of cheese pizza contains 340 calories, and a medium-size orange has one-fifth that number of calories, we can find the number of calories in a medium-size orange by dividing 340 by 5. Calories in a medium-sized orange = \(\frac{340}{5}\) calories = 68 calories. The division is an arithmetic operation used to find out how many times one number is contained within another number. The result of a division operation is called the quotient.

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer:

m=8

Step-by-step explanation: