What are the points of intersection between the graphs of the functions
f(x) = (x+3)(x − 1) and g(x) = (x + 1)(x − 3)

Based on given details  i would say a reasonable expectation would be about 6 children .

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

For the question above, we will use probability.

after 4 children, there is 37.5% chance you have 2 boys/2 girls

after 5 children, there is 62.5% chance you have at least 2boys/2 girls

after 6 children, there is 78% chance you have at least 2boys/2 girls

after 8 children, there is 93% chance you have at least 2boys/2 girls ...

based on this i would say a reasonable expectation would be about 6 children

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Answer:

Step-by-step explanation:

There isn't really a correct answer, because reading the data associated the line will have a margin of error.  What I read it as and what you read it as would be slightly different.  With that said I will try my best.  

I need at least two points on the line that seem accurate.

  I like one point at Latitude 40 and temperature 51 call it 50            (40, 50)

  Another point I like is  Latitude 15 and temperature 81 or 80           (15, 80)

to find the line we use the slope and one point on the line

with two points you can calcuate the slope  m = Δy / Δx

            m = (50 - 80) / (40 - 15)

                = -30 / 25

                = - 1.2

now find the y intercept    y when x = 0 (the x -axis)

            y - y1 = m ( x - x1 )          point 1  (40, 50)    slope of -1.2

            y - 50 = -1.2 ( 0 - 40)

                  y   = -1.2(-40)  + 50           i combined a few steps here to solve for y

                  y  =  98

    so from your data and line I get an answer of

             y = -1.2x + 98

to double check my answer I used a graphing calculator to do all of the work!

     the graphing calculator (attached image) using linear regression got an answer of

            y = -0.983667x  + 103.9

The continuity equation is satisfied and the flow is incompressible.

To check if the continuity equation is satisfied, we need to take the partial derivatives of the stream function with respect to x and y and see if they satisfy the continuity equation

Continuity equation: ∂u/∂x + ∂v/∂y = 0

where u and v are the x and y components of the velocity field, respectively.

From the definition of the stream function, we have

u = ∂Ψ/∂y = -2

v = -∂Ψ/∂x = -(-2) = 2

Taking the partial derivatives of u and v with respect to x and y, we have

∂u/∂x = 0, ∂v/∂y = 0

Substituting these values into the continuity equation, we get

∂u/∂x + ∂v/∂y = 0 + 0 = 0

Since the continuity equation is satisfied (resulted in zero), the flow is incompressible.

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The given question is incomplete, the complete question is:

The stream function for a two-dimensional, nonviscous, incompressible flow field is given by Psi = -2(x-y) where the stream function has the units of ft^2/s with x and y in feet. (a) Is the continuity equation satisfied?

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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Answer: False

Step-by-step explanation:

Researchers typically report the adjusted R-squared value in addition to the regular R-squared value, not because they lack confidence in the actual R-squared, but because the adjusted R-squared provides additional information about the goodness of fit of a statistical model. The regular R-squared value measures the proportion of the variance in the dependent variable that is explained by the independent variables in the model. However, it can be biased and increase as more predictors are added to the model, even if the additional predictors do not contribute significantly to the prediction.

The adjusted R-squared, on the other hand, takes into account the number of predictors in the model and penalizes the addition of irrelevant predictors. It provides a more conservative measure of the goodness of fit by adjusting for the number of predictors and the sample size. Researchers often use the adjusted R-squared to evaluate and compare different models with varying numbers of predictors or to assess the overall explanatory power of a model while considering its complexity.

In summary, researchers report the adjusted R-squared value to address the limitations of the regular R-squared and to provide a more accurate assessment of the model's goodness of fit.

Answer:

28.57%

Step-by-step explanation:

Given data

Initial cost =$28

Final cost =$36

Required

The percentage change in cost

Percent change =final - initial/initial*100

Substitute

Percent change =36-28/28*100

Percent change =8/28*100

Percent change =0. 2857*100

Percent change =28.57%

After solving the given expression that is 11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches is 460.5.

Given that,

We have to find what is 11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches.

We know that,

1 feet is equal to 12 inches.

So,

We can write as

11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches.

11f 7in+ 14f 6in +35.5in+ 30in + 6f 10in

11(12)+7in+14(12)+6+35.5+30+6(12)+10

132+7+168+6+35.5+30+72+10

460.5

Therefore, After solving the given expression that is 11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches is 460.5.

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The correct answer of joint hypotheses on multiple regression coefficients ption (D) is the exception in this case.

In multiple regression analysis, joint hypotheses involve the null hypothesis of equality or inequality between two or more regression coefficients.

Option (A) H0: 3/2 = 1 and 4 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two regression coefficients.

Where the coefficients are 3/2 and 1, and another null hypothesis of inequality between a coefficient and zero, where the coefficient is 4.

Option (C) H0: 1 = −2 and 1 + 2 = 1 is an example of a joint hypothesis that involves the null hypothesis of equality between a coefficient and a negative value.

Where the coefficient is 1, and another null hypothesis of equality between the sum of two coefficients and a value, where the coefficients are 1 and 2.

Option (D) H0: 2 = 0 and 3 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two coefficients and zero, where the coefficients are 2 and 3.

However,

Option (B) H0:1 + 2 = 1 is not a joint hypothesis involving regression coefficients.

It is simply an equation involving two constants, 1 and 2, and the null hypothesis states that their sum is equal to 1.

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The standard form of the number  \((1.5*10^(13))^2\)  is  2.25×\(10^(26)\) .

What is standard form of a number ?

 An equation, an expression, or a set of integers can all be written in standard form using the standard form approach. It is possible to express a number in a way that adheres to certain standards by writing it in its standard form. Standard form refers to any number between 1.0 and 10.0 that may be expressed as a decimal number and multiplied by a power of 10. The term "standard form" in this context refers to the act of condensing a particularly big expanded form of a number.

Here given is ,

=> \((1.5*10^(13))^2\)

=> \(1.5^2\) × \(10^(13)^2\)

=> 2.25×\(10^(26)\)

Therefore standard form of the number is  2.25×\(10^(26)\).

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The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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When Sam cuts the tip of the frosting bag, it creates an opening through which the frosting will flow. The diameter of this opening determines the size of the frosting pipe. In this case, Sam wants to create a pipe with a 1 centimeter diameter.

The diameter is the distance from one side of the opening to the other, passing through the center. To ensure a 1 centimeter diameter, Sam needs to make a cut that allows for a 1 centimeter opening. Since the diameter is the full width of the opening, Sam should make a cut that is half the diameter in length.

Therefore, Sam should make a cut of 0.5 centimeters in length on the tip of the bag. This will create an opening with a 1 centimeter diameter, allowing him to pipe frosting of the desired size.

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The expressions √1.5 and √1.9 are radical expressions

The true inequality about √1.5 and √1.9 is √1.5 < √1.9

The numbers are given as:

√1.5 and √1.9

Evaluate both root expressions

√1.5 = 1.22

√1.9 = 1.38

By comparison, we have:

1.22 <1.38

Rewrite as:

√1.5 < √1.9

Hence, the true inequality about √1.5 and √1.9 is √1.5 < √1.9

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Answer:

Step-by-step explanation:

Ok, so pretend each k has a 1 in front of it. so 1k+1k+1k= 3k. If you need a different equation, you can do 2k+1k=3k or something like that. :)

Answer:

The area of Marlien's living room is 420 square ft

Step-by-step explanation:

Before calculating the real dimensions of Marlien's living room, we must find the value of x.

Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.

The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:

\(2x-10+x-2+\frac{1}{2}x-4+x-2=2x+2+\frac{1}{2}x-4+x-2\)

Simplifying:

-10 + x - 2 = 2

x = 10 + 2 + 2

x = 14

Since x=14 feet, the dimensions of Marlien's living room are

width=x=14 feet

length=2x+2=30 feet

Thus the area is:

A = 14*30 = 420 square ft

The area of Marlien's living room is 420 square ft

Answer:

A boy can write one page in one minute

Answer:

5 minutesethhgdsyujjj

Answer:

please see analysis

Step-by-step explanation:

You can do this with a proportion. It takes 5/6 of a gallon to paint 1 wall and you want to know how much of a wall can you paint with 1/2 gallon. So set up the proportion:

5/6 / 1 = 1/2 / x

cross multiplying gets you 5/6x = 1/2

multiply by the reciprocal of 5/6 to isolate x - which is 6/5. 1/2 times 6/5 = 3/5

Answer:

The digit you replace that box with is 6.

9514 1404 393

Answer:

  an increase of 26.44%

Step-by-step explanation:

The 9% increase multiplies the value by 1 +9% = 1.09.

The 16% increase multiplies the value by 1 +16% = 1.16.

Either followed by the other will multiply the value by ...

  1.09 · 1.16 = 1.2644 = 1 + 26.44%

The effect of both increases is an increase in the original value of 26.44%.

The right triangle, like the other triangles, has three sides, three vertices, and three angles. The difference between the other triangles and the right triangle is that the right triangle has a 90  angle.

To find missing angles and sides and round to the nearest tenth, you can use different methods depending on the given information and the type of triangle or shape involved.

Some common methods include:
Trigonometric ratios (sine, cosine, tangent) for right triangles.
Angle sum property or exterior angle property for triangles.
Pythagorean theorem for right triangles.
Law of cosines and law of sines for non-right triangles.
To help find the missing angles and sides of a triangle, you need certain information about the triangle, such as known angle and side measurements, or information about the properties of the triangle.

Without this information, no concrete calculations can be made.

Provide the necessary information or describe the problem in more detail and we will help you find the missing corners and sides of the triangle and round it to tenths.

Remember to always check if any additional information is given, such as side lengths or angles ' 7 and to apply the appropriate formula or property to find the missing value.

Round your answer to the nearest tenth as specified.

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Answer

B: 12/7

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

I hope this helps

The calculated value of the rocket's greatest height is 196 feet

From the question, we have the following parameters that can be used in our computation:

height function,  h(t) =-16t² + 80t + 96

So, we have

h(t) =-16t² + 80t + 96

The maximum value of t is calculated as

t = -b/2a

So, we have

t = -80/(2 * -16)

Evaluate

t = 2.5

The rocket's greatest height is at t = 2.5

So, we have

h(2.5) =-16(2.5)² + 80(2.5) + 96

Evaluate

h(2.5) = 196

Hence, the rocket's greatest height is 196 feet

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To make the definition more accurate, we should change it to: "An angle is formed by two non-collinear rays with a common endpoint."

Part A:
The given definition of an angle is incorrect, as it states that an angle is two collinear rays with a common endpoint. In reality, an angle is formed by two non-collinear rays with a common endpoint. An example that contradicts the given definition would be two rays that are collinear, which means they lie on the same line. In this case, no angle would be formed.


Part B:
An example of an undefined term in geometry is a "point." A point is a basic building block of geometric concepts and does not have a specific definition but is used to define other terms. It pertains to angles because angles are formed by two rays with a common endpoint, which is a point. The concept of a point helps us understand and visualize the formation of angles.

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Answer: 24 cones.

Step-by-step explanation:

We know that each cone contains 1/32 of a gallon of ice cream.

And Izzy has a total of 3/4 gallons.

How many cones we can make with this? This will be equal to the quotient between 3/4 gallons and 1/32 gallons, which will be equal to the number of times that we can fit 1/32 in 3/4

this is:

N = (3/4 gal)/(1/32 gal) = 24

This means that we can make 24 ice cream cones with 3/4 gal of ice cream.

The expression that results from applying the law of indices and expression is 5x^(-7/3).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules.

Here,

The resulted expression will be,

(125x)^(7/3)^(-1/3)

125=5^3

(a^n)^m = a^mn

(5x)^3^7/3^-1/3

(5x)^7*-1/3

5x^(-7/3)

The resulted expression will be 5x^(-7/3) using the law of indices and expression.

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Answer:

245 flash drives

Step-by-step explanation:

We can assume that the proportion of broken flash drives in the 200 drive sample is the same as the proportion of broken flash drives in the weekly output. Therefore, if we let \(x\) be the number of broken flash drives produced that week, we can write the following equation:

\(\frac{7}{200} =\frac{x}{7000}\)

Solving for \(x\), we get:

\(\frac{7}{200} =\frac{x}{7000}\)

\(7000 * \frac{7}{200} =x\) (Multiply both sides of the equation by \(7000\) to isolate \(x\))

\(\bf x=245\) flash drives (Multiply)

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