Solve the following equation:8p-8=2p+16

Answer:

10p

Step-by-step explanation:

Answer:

if LJK is 28, then by using the triangle sum theorem, JLK is 62. because the triangles are congruent,( angle+side+hypotneus/HL), JLK is congruent to JLM, so you add them together and get 62+62=124 = MLK. I'm pretty sure thats the right answer, might want to go over that.

Answer:

\(6 \: or \: \frac{1}{3} \)

Step-by-step explanation:

\(3b {}^{2} - 19b + 1 = - 5 \\ 3b {}^{2} - 19b + 1 + 5 = 0 \\ 3b {}^{2} - 19b + 6 = 0 \\ 3b {}^{2} - b - 18b + 6 = 0 \\ b(3b - 1) - 6(3b - 1) = 0\\ (b - 6)(3b - 1) = 0 \\ b = 6 \: or \: 3b = 1 \\ b = 6 \: orb = \frac{1}{3} \)

The fit statistic that can be used across different series that are in fact measured in different units is; MAPE

There are different statistics models in this regards such as;

Mean Absolute Error (MAE)

Mean Absolute Scaled Error (MASE)

Accuracy Percent (Accuracy %)

Mean Squared Error (MSE)

Root Mean Squared Error (RMSE)

Mean Absolute Percent Error (MAPE)

Now, we are told that we need the fit statistic that can be used across different series that are in fact measured in different units.

The correct one will be Mean Absolute Percent Error (MAPE) because the average absolute percent difference between the values that are fitted by the model and the observed data values.

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Answer:

1) C = 105.8°

Step-by-step explanation:

the probability is 68‰

For the normal distribution,

The scores on standardized admissions tests are normally distributed with a mean of 500

Mean (μ)=500

standard deviation(σ)=100

The probability that scores lies between 400 and 600  i.e, P(400

For the standard normal distribution curve

Z=(x-μ)/σ

(400-500)/100<(x-μ)/σ<(600-500)/100

-1

For standard normal distribution mean shifted to zero,  P(x)dx=1/(sqrt(2pi))e^(-z^2/2)dz.

so the probability would be 68‰

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To apply the \( x \) shearing transformation with a parameter of 2 units, we need to modify the \( x \)-coordinate of each point by adding a value proportional to its \( y \)-coordinate.

Shearing is a geometric transformation that distorts the shape of an object along a particular axis. In this case, we are applying \( x \) shearing, which means we want to modify the \( x \)-coordinates of the given rectangle/square.

The shearing parameter determines the amount of distortion applied. In this case, the shearing parameter towards the \( x \)-direction is 2 units. To achieve this, we add a value proportional to the \( y \)-coordinate to the \( x \)-coordinate of each point.

Considering the given coordinates of the rectangle/square as \( (0,0), (0,2), (2,0), (2,2) \), we apply the \( x \) shearing transformation by modifying the \( x \)-coordinate of each point. For example, for the point \( (0,0) \), the new \( x \)-coordinate would be \( 0 + 2 \times 0 = 0 \). Similarly, for the point \( (0,2) \), the new \( x \)-coordinate would be \( 0 + 2 \times 2 = 4 \). By applying this transformation to all the points, we obtain the coordinates of the sheared rectangle/square.

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The covariance of their returns is approximately 0.0149601.

To calculate the covariance of the returns of two stocks, we need to multiply the difference between each pair of corresponding returns by the probability of each state, and then sum up these products. The formula for covariance is as follows:

Covariance = (Return_A1 - Mean_Return_A) * (Return_B1 - Mean_Return_B) * Probability_1

          + (Return_A2 - Mean_Return_A) * (Return_B2 - Mean_Return_B) * Probability_2

Where:

- Return_A1 and Return_A2 are the returns of stock A in state 1 and state 2, respectively.

- Return_B1 and Return_B2 are the returns of stock B in state 1 and state 2, respectively.

- Mean_Return_A and Mean_Return_B are the mean returns of stock A and stock B, respectively.

- Probability_1 and Probability_2 are the probabilities of state 1 and state 2, respectively.

Let's calculate the covariance:

Return_A1 = 1%

Return_A2 = 80%

Return_B1 = 12%

Return_B2 = -10%

Probability_1 = 0.85

Probability_2 = 0.15

Mean_Return_A = (Return_A1 * Probability_1) + (Return_A2 * Probability_2)

             = (0.01 * 0.85) + (0.8 * 0.15)

             = 0.0085 + 0.12

             = 0.1285

Mean_Return_B = (Return_B1 * Probability_1) + (Return_B2 * Probability_2)

             = (0.12 * 0.85) + (-0.1 * 0.15)

             = 0.102 - 0.015

             = 0.087

Covariance = (Return_A1 - Mean_Return_A) * (Return_B1 - Mean_Return_B) * Probability_1

          + (Return_A2 - Mean_Return_A) * (Return_B2 - Mean_Return_B) * Probability_2

          = (0.01 - 0.1285) * (0.12 - 0.087) * 0.85

          + (0.8 - 0.1285) * (-0.1 - 0.087) * 0.15

          = (-0.1185) * (0.033) * 0.85

          + (0.6715) * (-0.187) * 0.15

          = -0.00489825 + 0.01985835

          = 0.0149601

To calculate the correlation of their returns, we divide the covariance by the product of the standard deviations of the returns of each stock. The formula for correlation is as follows:

Correlation = Covariance / (Standard_Deviation_A * Standard_Deviation_B)

Let's assume the standard deviations of the returns for stock A and stock B are known. If we use σ_A for the standard deviation of stock A and σ_B for the standard deviation of stock B, we can substitute these values into the formula to calculate the correlation. However, if you provide the standard deviations, I can provide a more accurate calculation.

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Answer:

b-250

Step-by-step explanation:

Step-by-step explanation:

the answer is 250 B hope this helps

The system of equations is inconsistent for any value of k.

If we subtract the first equation from the second one, we get 0 = 12x, which is inconsistent no matter what value k is. This means that the system of equations has no solution and is therefore inconsistent.

The system of equations KX + 3y = K + 2 and 12x + Ky = K is inconsistent for any value of k. This is because when we subtract the first equation from the second one, we get 0 = 12x, which is an inconsistent equation no matter what value k is. This means that the system of equations has no solution and is therefore inconsistent. No matter what value we assign to k, the equations cannot be solved simultaneously and so the system of equations is inconsistent.

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The temperature at noon is 1.9 degrees Celsius.

Since the temperature drops at a steady constant rate every hour, the function that can be used to model the temperature change is a linear function.

A linear function is a function that when drawn on a graph, it is a straight line. A linear function has a single variable that is raised to the power of one.

In order to determine the temperature at noon, add the total drop in temperature with the temperature. Addition is the mathematical operation that is used to determine the sum of two or more numbers. The sign used to denote addition is +.

Temperature = temperature at noon - (temperature drop per hour x number of hours)

-2.5 = temperature at noon - 4.4

Temperature at noon = -2.5 + 4.4

Temperature at noon = 1.9 degrees Celsius

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A park, in the figure of a quadrilateral ABCD, has ∠C = 90°, AB = 9m, BC = 12 m, CD = 5 m, and AD = 8 m. The area is 65.49 m² ≈ 65.5m²

Join BD in "BCD," and receive BC and DC.

In order to compute BD, we can use Pythagoras's theorem.

\(& \Rightarrow \mathrm{BD}=\sqrt{\mathrm{BC}^2+\mathrm{CD}^2} \\\)

\(& \quad=\sqrt{12^2+5^2}=\sqrt{144+25}=13 \mathrm{~m}=\mathrm{BD}\)

Area of triangle ABD

\($ =\sqrt{\mathrm{s}(\mathrm{s}-\mathrm{a})(\mathrm{s}-\mathrm{b})(\mathrm{s}-\mathrm{c})} \text { (Heron's formula) } \\\)

\(& \Rightarrow 2 \mathrm{~S}=9+8+13, \mathrm{~S}=\frac{30}{2} \\\)

\(& \Rightarrow \mathrm{S}=15 \mathrm{~m} \\\)

\(& \Rightarrow \text { Area of } \triangle \mathrm{ABD} \\\)

\(& =\sqrt{15(15-9)(15-8)(15-13)} \\\)

\(& =\sqrt{15 \times 6 \times 7 \times 2}=\sqrt{630 \times 2} \\\)

\(& =6 \sqrt{1260}=35.49 \mathrm{~m}^2\)

⇒ Area of Park = Quad ABCD

= 30+35.49

= 65.49 m² ≈ 65.5m²

The complete question is:

A park, in the shape of a quadrilateral ABCD, has ∠C = 90°, AB = 9m, BC = 12 m, CD = 5 m and AD = 8 m. How much area does it occupy?

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Answer:

The leading coefficient in the polynomial 10x2 + 3x - 5 is 10.

Step-by-step explanation:

To find the leading coefficient of the polynomial function, we must first locate the leading term. In a polynomial function, the leading term is the term containing the highest power of x. In this polynomial function, the leading term is 10x2. The leading coefficient of a polynomial function is the coefficient of the leading term, and so the leading coefficient of this polynomial function is 10.

Answer:

Step-by-step explanation:

Solve systems of equations by graphing

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Hope it helps

The area of the shaded region in this problem is given as follows:

995.44 cm².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:

r = 21 cm.

Then the area of the entire circle is given as follows:

A = π x 21²

A = 1385.44 cm².

The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:

A = 0.5 x 39 x 10

A = 390 cm².

Then the area of the shaded region is given as follows:

1385.44 - 390 = 995.44 cm².

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Given

Mass, Volume, and Density

Procedure

Mass, volume and density are three of an object's most basic properties. Mass is how heavy something is, volume tells you how big it is, and density is mass divided by volume. Although mass and volume are properties you deal with every day, the idea of density is a little less obvious and takes careful thought.

The measurement of the number of cars that pass through a stop sign without stopping each hour is a C. discrete variable.

A discrete variable refers to a type of measurement that assumes distinct and specific values, typically whole numbers or integers. In this context, the count of cars is considered a discrete variable since it can only take on precise, separate values.

These values correspond to the number of cars passing the stop sign without stopping, and they are restricted to whole numbers or zero. Examples of such values include 0 cars, 1 car, 2 cars, and so forth. There exist no fractional or infinite possibilities between these discrete counts.

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Using proportions, it is found that Charlotte should ask for $62.5 in the budget to spend on thread.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Each uniform needs 50 buttons, and there are 100 uniforms, hence the number of buttons needed is:

50 x 100 = 5000.

Each button requires of a yard of thread, hence the number of yards needed is:

5000 x 1 = 5000 yards.

A 400-yard spool of thread is sold for $5, hence the budget needed is:

(5000/400) x 5 = $62.5.

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Sample 1: Mean=10.01, Standard deviation=13.90 Sample 2: Mean

=11.43, Standard deviation

=14.10

Sample size of 1st year = n1

= 1012Mean of 1st year sample

= X1 = 10.01Standard deviation of 1st year sample

= s1

= 13.90Sample size of 2nd year

= n2

= 1012Mean of 2nd year sample

= X2

= 11.43

Standard deviation of 2nd year sample = s2

= 14.10 Let us assume a significance level of α = 0.05, which implies that the critical region consists of 2.5% in both tails (since it is a two-tailed test).

Therefore, we do not have sufficient evidence to conclude that the mean number of hours per week spent on the Internet differs between 2010 and another year.

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The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

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Answer:

1 km per minute

Step-by-step explanation:

Because if 30 km in 30 min 1km in 1 min.

Answer:

She put in $7.50

Step-by-step explanation:

Answer:

Here is what I think:

Addition and Multiplication are very similar. Multiplication is just repeated addition. If you do 3*2 its just adding 3, 2 times to each-other. The same goes for division. Its repeated subtraction. 15/3 If you subtract 3 from 15 how many times can you do it. There are also differences though. Multiplication is usually used to calculate different things though. It can calculate area and volume while addition usually doesn't. Division is used to find how much of something can fit into something. But subtraction usually is only used for subtracting other things. Those are similar things and different things for this.

Answer:

$30.47

Step-by-step explanation:

100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps

x= 48

P/s: sorry. I cant explain  

ok done.thank to me :>

We can solve the Inequalities by Isolating the variables that are present in the given Inequality.

In mathematics, an inequality is a connection between two values or mathematical equations that results in an unequal comparison.

The signs that we use in Inequalities are less than( < ), less than or equal to ( ≤ ), greater than ( > ), greater than or equal to ( ≥ ), and not equal to (≠) sign.

Lets us consider we have inequality 3x + 2 + x ≥ 10

We can solve the above inequality as given below

Here we will solve the inequality by Isolating the variable  

Step - 1

Add x term and constant terms

=> 4x + 2 ≥ 10   [ here 3x + x = 4x ]

Step - 2  

Bring out x terms at one side, and constant terms at another side by doing required operations like adding

=> 4x + 2 ≥ 10    [ here we will subtract 2 from both sides ]

=> 4x + 2 - 2  ≥ 10 - 2

=> 4x  ≥ 8  

Step - 3

Now isolate the variable to get the solution

=>  4x/4  ≥ 8/4         [ here divided by 4 ]

=> x  ≥ 2  

Therefore, the required solution is x ≥ 2    

Therefore,

We can solve the Inequalities by Isolating the variables that are present in the given Inequality.

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Answer:

The theater has 32 rows

Step-by-step explanation:

The rule of the sum of n terms of an arithmetic sequence is S\(_{n}\) = \(\frac{n}{2}\) (a + l), where

∵ The number of seats per row follows an arithmetic sequence

∵ The first row has 26 seats

∴ a = 26

∵ The last row has 150 seats

∴ l = 150

∵ The theater seats are 2,816

∴ S\(_{n}\) = 2,816

→ Substitute these values in the rule of the sum above to find n

∵ 2,816 = \(\frac{n}{2}\)(26 + 150)

∴ 2,816 = \(\frac{n}{2}\)(176)

∴ 2,816 = 88n

→ Divide both sides by 88

∴ 32 = n

∵ n represents the number of the rows

∴ The theater has 32 rows

The length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter

A rectangle has length 3 cm greater than it’s width

Consider the width of the rectangle = x

The length of the the rectangle = x + 3

The area of the rectangle = 28 square centimeter

The area of the rectangle = The length of the the rectangle × The width of the rectangle

Substitute the values in the equation

x(x+3) = 28

Apply the distributive property

\(x^2\)  + 3x = 28

\(x^2\) + 3x -28 = 0

Split the middle term and solve the equation

\(x^2\) -4x + 7x -28 = 0

Take common term outside

x(x-4) + 7(x-4) =0

Take common term outside

(x+7) (x-4) = 0

x = -7, 4

The length cannot be negative value

x = 4 centimeter

Then the length of the rectangle = x + 3

= 4 +3

= 7 centimeter

Hence, the length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter

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