Convert 3 over 8 to a percent

The area of the square is increasing at a rate of 8 cm²/s when the area of the square is 16 cm².

When the side length of a square increases, the area of the square also increases. The formula for area of a square is side length multiplied by itself.

Therefore, when the side length of a square increases at a rate of 2 cm/s, the area of the square increases at a rate of 2 cm/s multiplied by 2 cm/s, or 4 cm²/s.

However, since the side length of the square is 16 cm when the area of the square is 16 cm², the rate at which the area of the square increases is 2 cm/s multiplied by 16 cm, or 8 cm²/s.

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Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

The coordinates of the center of the circle are (1, 2).

To find the center of the circle with the equation \(x^2\) + \(y^2\) - 2x - 4y - 31 = 0, we can rewrite the equation in standard form.

The standard form for the equation of a circle is \((x - h)^2\) + \((y - k)^2\) = \(r^2\), where (h, k) is the center of the circle and r is the radius.

To convert the equation \(x^2\) +\(y^2\) - 2x - 4y - 31 = 0 to standard form, we can complete the square.

First, we can rewrite the equation as \(x^2\) - 2x +\(y^2\) - 4y - 31 = 0.

To complete the square, we need to add and subtract the square of half of the coefficient of the x term and the square of half of the coefficient of the y term. In this case, we add and subtract $(-1)^2 = 1$ and $(-2)^2 = 4$.

So the equation becomes \(x^2\) - 2x + 1 + \(y^2\) - 4y + 4 - 1 - 4 = 0, which simplifies to \((x - 1)^2\) + \((y - 2)^2\) = 0.

Since the right side of the equation is 0, this means that the circle is the point (1, 2). Therefore, the center of the circle is (1, 2) and the radius is 0.

The complete question is:-

What are the coordinates of the center of the curve X² +y² -2x -4y -31=0?

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20 students are selected at random from each grade level, of random sampling within each stratum.

A random sample from each grade level, the survey plan ensures that each grade level is represented in the sample, and that the sample is likely to be representative of the entire school population.

The survey plan described in the question is a combination of two different sampling techniques:

stratified sampling and random sampling.

Stratified sampling involves dividing the population into subgroups, or strata, based on certain characteristics that are relevant to the research question.

The population is divided by grade level, which is likely to be a relevant factor when it comes to determining student support for the student-council president.

The purpose of stratified sampling is to ensure that each subgroup is represented in the sample in proportion to its size in the population.

This helps to minimize sampling bias and increase the precision of the estimates obtained from the sample.

Once the population is divided into subgroups, random sampling is used to select a sample from each stratum.

Random sampling involves selecting individuals from the population in such a way that each individual has an equal chance of being selected.

This helps to ensure that the sample is representative of the population and that any estimates obtained from the sample are unbiased.

In this survey plan, 20 students are selected at random from each grade level, which is an example of random sampling within each stratum.

By selecting a random sample from each grade level, the survey plan ensures that each grade level is represented in the sample, and that the sample is likely to be representative of the entire school population.

Overall, the survey plan described in the question is a good example of how different sampling techniques can be combined to obtain a representative sample of a population.

By using stratified sampling to divide the population into subgroups and random sampling to select individuals from each subgroup, the survey plan helps to minimize sampling bias and increase the precision of the estimates obtained from the sample.

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Answer:

x = 13

Step-by-step explanation:

Given: f ( x ) = 4.5 x 2 − 3 x + 2 To determine the critical points, we must first calculate the first derivative of the function.

Differentiate the given function with respect to x using the power rule of differentiation, d d x x n = n x n − 1.

f ′ (x) =    d        (4.5 x 2 − 3 x + 2)

        ______        

            d x  

Apply sum rule: d d x (f(x)) + g (x) = d d x f (x) + d d x g (x) } f ′ ( x) = d d x (4.5 x^2) + d d x (−3 x) + d d x (x) f ′ (x) = 9 x − 3

To determine the critical points, set f ′ (x) = 0 . 9 x − 3 = 0 9 x = 3 {∴ x = 13}

Therefore, the tangent line to f(x) is horizontal at the point x = 13

Hope this helps, have a nice day/night! :D

Therefore, the expression for each wk in terms of the dataset (x1, y1), ..., (xM, yM) and W1, ..., Wk-1, Wk+1, ..., WM is: wk = (Σ (xij * yj) - Σ (wk' * xij^2), for j = 1 to N and k' ≠ k) / Σ xij^2, for j = 1 to N

The expression for each coefficient wk can be derived by taking the partial derivative of the OLS objective function J(w) with respect to wk and setting it equal to zero:

dJ(w)/dwk = 2 * Σ (xij * (wk * xij - yj)), for j = 1 to N

Setting this equal to zero and solving for wk, we get:

wk = (Σ (xij * yj) - Σ (wk' * xij^2), for j = 1 to N and k' ≠ k) / Σ xij^2, for j = 1 to N

Therefore, the expression for each wk in terms of the dataset (x1, y1), ..., (xM, yM) and W1, ..., Wk-1, Wk+1, ..., WM is: wk = (Σ (xij * yj) - Σ (wk' * xij^2), for j = 1 to N and k' ≠ k) / Σ xij^2, for j = 1 to N

The solution for this problem involves taking the partial derivative of the objective function J(w) with respect to each w_k and setting it to zero. This will give us a set of M normal equations, one for each coefficient w_k (1 ≤ k ≤ M).

The general expression for each w_k can be written as:

w_k = (Σ(x_i(k)y_i) - Σ(x_i(k)Σ(x_i(j)w_j)) / Σ(x_i(k)^2) for 1 ≤ j ≤ M, j ≠ k

Here, the summations run over all data points in the dataset D. The expression calculates w_k by considering the relationship between the k-th input variable x_i(k) and the output variable y_i, while taking into account the contribution of other coefficients w_j.

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Answer:

its the 3rd one ab and cd

To find the average rate of temperature decrease per hour during the day, we need to determine the total decrease in temperature and divide it by the number of hours.

To find the total decrease in temperature, we subtract the initial temperature from the final temperature:

Total decrease = Final temperature - Initial temperature

= (-1°F) - (25°F)

= -26°F

Next, we need to find the number of hours between 10 a.m. and 8 p.m. There are 10 hours from 10 a.m. to 8 p.m.

Now, we can calculate the average rate of temperature decrease per hour by dividing the total decrease by the number of hours:

Average rate of temperature decrease = Total decrease / Number of hours

= -26°F / 10 hours

= -2.6°F per hour

Therefore, the correct answer is option C : 2.6°F.

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Answer: 1

Step-by-step explanation: i just took the test

Answer:

It would be number 1

Step-by-step explanation:

Answer:

1/2of all contain chips 50%

7/9 contain nuts >50%

30 cookies contain both of them

so i think there is 60 cookies

The percent change from 1994 to 1995 can be computed by which of the following methods.

The percent change from 1994 to 1995 would be computed by the following

Formula: Percent Change = ((New Value - Old Value) / Old Value) x 100Where,

Old Value = Annual caseloads in 1994 = 750

New Value = Annual caseloads in 1995 = 820

Let's put these values into the formula and calculate the percent change.

Percent Change = ((820 - 750) / 750) x 100

Percent Change = (70 / 750) x 100

Percent Change = 0.093 x 100

Percent Change = 9.3%

Therefore, the percent change from 1994 to 1995 would be 9.3%.

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Answer:

True

Step-by-step explanation:

7x = 63

x = 63/7

x = 9

So, the given conclusion is true for the statement.

Hope it helps ⚜

Answer:

True. The given conclusion is true for the starement.

Step-by-step explanation:

The given statement is 7x = 63. We need to prove that the conclusion is correct regarding the statement.  So, let's prove it.

To prove it, we need to know the value of x & we should see if it's equal to 9.

\(\huge\sf\:7x = 63\\\huge\sf\:x = \frac{63}{7} \\\huge\boxed{\sf\:x = 9}\)

We get the value of x as 9 after simplification.

Hence, the conclusion is true for the statement.

________

Hope it helps!

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\(\mathfrak{Lucazz}\)

Answer:

C

Step-by-step explanation:

The domain is x value but practical domain is "c".

I took the test too. :)

Please give me brainliest

The number of persons added to the population rises annually if the population's growth rate, r, is positive and stable.

Given statement,

If the growth rate r of a population is positive and remains constant, the number of people added to the population,

In the given case the solution will be the number of people added to the population " increases each year ".

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and trig functions. The relevant relations here are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

In your diagram, leg 'a' is opposite angle α and adjacent to angle β. Similarly, leg 'b' is opposite angle β and adjacent to angle α. The hypotenuse is 'c' in all cases.

So, filling the table is a matter of identifying adjacent and opposite legs. You will notice that the sine of α is the cosine of β and vice versa.

Answer:

A, E

Step-by-step explanation:

Answer:

a,e

Step-by-step explanation:

Answer:

7,147.8

Step-by-step explanation:

i used a calculator

The vertical component of the initial velocity will basically decide where the vertices will be. that is how the initial velocity is related to the vertex of the parabola.

A parabola is a symmetrical curve that is formed by the intersection of a plane and a cone, where the plane is parallel to one of the cone's generating lines. The shape of a parabola is similar to that of a U-shaped curve, but with a sharper curve near the bottom of the U.

The parabola has several important properties, including a focus and a directrix. The focus is a point on the axis of symmetry of the parabola that is equidistant from every point on the curve. The directrix is a line that is perpendicular to the axis of symmetry and is equidistant from every point on the curve.

The equation of a parabola in standard form is y = ax² + bx + c, where "a" determines the direction and shape of the parabola, "b" determines the horizontal shift of the parabola, and "c" determines the vertical shift of the parabola.

The initial velocity will have two component basically, a horizontal component and a vertical component. The vertical component will decide how high the object will go, or in other words the vertical component of the velocity will decide the position of the vertex of the parabolis path which the object is going to follow.

When the vertical component of the velocity becomes 0, the object will be at it's maximum height (i.e the object will be at the vertex of the parabola)

The vertical component of the initial velocity will basically decide where the verties will be. that is how the initial velocity is related to the vertex of the parabola.

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Answer:

See attached and view below.

Step-by-step explanation:

     A coordinate point is in terms of (x, y). Since we have (4, 3), the 4 is our x and the 3 is our y. X is left to right and y is up and down.

     A tip: You are going to "walk" to the elevator for the first number, and then go up/down for the second.

     First, find the number positive "4" on the x-axis, the horizontal one. This means moving four units to the right.

     Second, since the value of 3 is positive, we are going to go up 3 units from point (4, 0) to finish our graph.

The probability that he will get to use his laser pointer for at least 105 hours before he needs to buy more batteries is 1.

We know that a pair of batteries will power the pointer for an average of five hours use, with a standard deviation of 30 minutes. Also, he buys 20 2-packs of AAAA batteries.So, the total number of batteries he bought = 20 × 2 = 40.Since a pair of batteries will power the pointer for an average of five hours use, with a standard deviation of 30 minutes.

This means that the standard deviation for 40 batteries will be calculated as follows:\($$\text{standard deviation for 1 pair of batteries} = 30 \text{ minutes}$$$$\text{standard deviation for 40 pairs of batteries} = 30/\sqrt{40} \text{ minutes} = 4.74 \text{ minutes}$$\)

Hence, the mean time that he will get to use his laser pointer for 40 batteries will be 40 × 5 = 200 hours.

So, the probability that he will get to use his laser pointer for at least 105 hours before he needs to buy more batteries is calculated as follows:

\($$P(X \ge 105) = P\left(Z \ge \frac{105-200}{4.74}\right)$$$$\qquad \qquad \,\,\,\,\, = P(Z \ge -19.97)$$$$\qquad \qquad \,\,\,\,\, = 1 - P(Z \le -19.97) = 1$$\)

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Solution :

μ = 160 minutes

standard deviation σ = 25 minutes

The formula for z-score is,  z=(x-μ)/σ

To find the probability of the completion of a quiz in more than 100 minutes but less than 170 minutes, we need to find the z-score values for the given x values.

For  x = 100, z = (100 - 160)/25 = -2.4

For x = 170, z = (170 - 160)/25 = 0.4

The probability that a student will complete it in more than 100 minutes but less than 170 minutes isP(100 < x < 170) = P(-2.4 < z < 0.4)

Using the standard normal table

we get P(-2.4 < z < 0.4) = 0.6554 - 0.0885 = 0.5669

The probability that a student will complete it in more than 100 minutes but less than 170 minutes is 0.5669.

Now, to find the number of students who will not complete it in the allotted time, we need to find the probability of the completion of the quiz in more than 180 minutes.

The z-score for x = 180 is z = (180 - 160)/25 = 0.8.

The probability of completion of the quiz in more than 180 minutes is P(x > 180) = P(z > 0.8)

Using the standard normal table, we get P(z > 0.8) = 1 - 0.7881 = 0.2119

So, the expected number of students who will not complete it in the allotted time is 120 × 0.2119 = 25.43 ≈ 25 students.

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Any equation that does not contain a discontinuity, defined as a point where the graph of the equation has a sudden break or jump, is considered continuous. Examples of continuous equations include linear equations, polynomial equations, and exponential equations.

Continuity is an important concept in mathematics and related disciplines. A continuous equation is defined as any equation that does not contain a discontinuity, which is a point where the graph of the equation has a sudden break or jump. Discontinuous equations are equations with discontinuities that cause the graph of the equation to have sudden jumps or breaks. Linear equations, polynomial equations, and exponential equations are all examples of continuous equations, since they do not contain any discontinuities. Continuous equations are important because they are used in many areas of mathematics, such as calculus, to solve problems and understand the behavior of certain function

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Answer: 48 pupils get the bus to the cinema and 36 pupils walk to the cinema.

Step-by-step explanation:

Let's suppose that there are a total of N pupils.

We know that N/4 walk to the cinema.

We know that N/3 get the bus to the cinema.

And the remainder is equal to 60 people.

Then:

N - N/4 - N/3 = 60

N*(1 - 1/4 - 1/3) = 60

N( 12/12 - 3/12 - 4/12) = 60

N*( 5/12) = 60

N = (12/5)*60 = 144

Then the number of pupils that walk to the cinema is N/4, or:

144/4 = 36

And the number of pupils that get the bus is N/3, or:

144/3 = 48.

Answer:

$42.50

Step-by-step explanation:

y = mx + b

x = how many videos you watched

y = 1.25(30) + 5.00 = 42.50

Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Answer:

You would need to include in your description, angle of rotation, direction and center of rotation

Step-by-step explanation:

we know that

When the triangle is rotated,every point on the triangle is turned by an angle about a center of rotation.  The center of rotation is the point that a triangle rotates about. If the rotation is in the same direction as the hands of a clock, the direction is clockwise. If the rotation is in the opposite direction as the hands of a clock, the direction is counter-clockwise

so

To describe a rotation, we need to say what angle the triangle has been turned by, the direction and where the center of rotation is.

therefore

You would need to include in your description, angle of rotation, direction and center of rotation