Find the slope of the following line containing the following points (4,5) and (11,33)

Answer:

There is no difference

Step-by-step explanation:

The difference between the polynomials is 7y² + 8xy - 3

Polynomials are functions that have a degree of power greater than two.

According to the question we are to find the difference between the polynomials (7y2 + 6xy) - (-2xy + 3)

f(x, y) = (7y^2 + 6xy) - (-2xy + 3)

f(x, y) = 7y² + 6xy + 2xy - 3

f(x, y) = 7y² + 8xy - 3

Hence the difference between the polynomials is 7y² + 8xy - 3

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Your friend would take 11.6 hours to clean the gutters when working alone.

We have,

A rate is a ratio that is used for comparing two different kinds of quantities which have different units. A rate of change is a rate that describes how one quantity changes in relation to another quantity.

Here, we have

Given: You can clean the gutters of your house in 6 hours working together you and your friend can clean the gutters in 3.5 hours let x be the time in hours.

We have to determine an equation to find how long your friend would take to clean the gutters when working alone.

Your Work rate = 1/5

Your and your friend's work rate = 1/3.5

Your friend's rate = 1/3.5 - 1/5 = 3/35

t = 1/(3/35) = 35/3 = 11.6hours

Hence, your friend would take 11.6 hours to clean the gutters when working alone.

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Firstly, we should understand that we have right triangles inside the rectangle

These are BDC and ADC

a) Side DC

What we have is a rectangle and parallel sides are equal in length

AB = DC = 36

Thus, DC = 36

b) DA

At the four edges of the rectangle, we have right angles, which are 90 degrees

So, we can use Pythagoras' here

The square of the diagonal equals the sum of the squares of the two other sides

So we have;

c) AC

Mathematically, the diagonals of a rectangle are congruent (equal in length) and they bisect each other

Thus, since BE is 19.5, BD is 2 * 19.5 = 39

AC = BD = 39

d) AE

AE is exactly same as BE which is 19.5

e) DE

DE is same as BE which is 19.5

f) Angle DAE

To get this, we consider triangle

g) Angle AEB

h) Angle ADC

This is part of the right angles; ADC is 90 degrees

i) BEC

Answer: In the fraction 80/16, 80 is the numerator and 16 is the denominator. When you ask "What is 80/16 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction. We do this by first finding the greatest common factor of 80 and 16, which is 16.

HOPE THIS HELPS

Answer:

X=6

Step-by-step explanation:

Espero que esté bien, hice las matemáticas/ I hope that's right i did the math

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain: {0, 1, 2, - 4}

Range: {1 , - 3, - 4}

Answer:

D. \(3\sqrt{22b}\)  

I hope this helps!

As the number of years increases, the percentage of married women with children ages 6 to 17 in labor force increases

To do this, we enter the number of years after 1900 and the percentage of labor force on a graphing calculator

See attachment for the scatter plot

Using the graphing calculator, we can find a linear model to fit the data

From the line on the scatter plot, the equation is

y = 1.12x - 28.48

This means that x = 82

So, we have:

y = 1.12 * 82 - 28.48

Evaluate

y = 63.36

Hence, the percentage in the labor force in the year 1982 is 63.36%

This means that y = 85

So, we have:

85 = 1.12x - 28.48

This gives

1.12x = 113.48

Divide by 1.12

x = 101.32

Approximate

x = 101

Year = 1900 + 101

Year = 2001

Hence, the year is 2001

To do this, we enter the number of years after 1900 and the percentage of labor force on a graphing calculator

Using the graphing tool;

The value of correlation coefficient for this data is 0.9962.

This is a strong positive correlation, which means that as the number of years increases, the percentage of married women with children ages 6 to 17 in labor force increases

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First, we have to find the slope

It is an horizontal line

Point-slope form= = y - 6 = 0 (x - 3)

Slope-intercept = y=mx + b,

let's find b

y = 0x + 6

y = 6

Options b, d, and e are the true statements about the substitution method.

b. It is useful to solve the integral ∫2x sin x^2 dx.

d. It utilizes the formula ∫ f(u(x))u'(x) dx = ∫ f(u) du.

e. It is based on the chain rule for derivatives.

The true statements about the substitution method are:

b. It is useful to solve the integral ∫2x sin x^2 dx.

The substitution method is commonly used to simplify integrals and make them easier to evaluate. It can be applied to various types of integrals, including the given example.

d. It utilizes the formula ∫ f(u(x))u'(x) dx = ∫ f(u) du.

The substitution method involves making a substitution in the integral by introducing a new variable. This formula represents the fundamental principle of substitution, where the derivative of the substituted function appears in the integral.

e. It is based on the chain rule for derivatives.

The substitution method is based on the chain rule of derivatives. By making an appropriate substitution, the integral can be transformed into a new form that corresponds to a derivative of a simpler function.

Therefore, options b, d, and e are the true statements about the substitution method.

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Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

A. 4 / 9

Step-by-step explanation:

4/15 ÷ 3/5

= ( 4 / 15 ) x ( 5 / 3 )

15 = 5 x 3

= ( 4 / 3 x 5 ) x ( 5 / 3 )

= ( 4 x 5 ) / ( 3 x 3 x 5 )

= 4 / 3 x 3

= 4 / 9

Answer:

Step-by-step explanation:

4 / 15 ÷ 3 / 5 = ?

First, we need to find common denominators.

Both fractions need denominators of 15.

(Multiply 3/5 by 3)

4 / 15 ÷ 9 / 15

Second, find the reciprocal of 9/15, or the opposite.

9 / 15 ~ 15 / 9.

Change the division sign to a multiplication sign.

Third, multiply the fractions:

4 / 15 · 15 / 9 = 60 / 135

Lastly, simplify by dividing the product by 15:

4/9.

A. 4/9 is your simplified answer

A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.

The standard normal distribution, often known as the z-distribution, is a special sort of ordinary distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.

Any normal distribution can be standardized through transforming its values into z scores. The Z scores indicate how many standard deviations a certain result is from the mean. All normal distributions are unimodal, symmetrically distributed, and have a bell-shaped curve. One such distribution is the common normal distribution. On the other hand, a normal distribution's mean and standard deviation can be any value. In the typical normal distribution, the mean and standard deviation remain constant.

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A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one.

A standard normal distribution, also known as the Z-distribution, is a specific type of normal distribution. It has a mean of zero and a standard deviation of one. The Z-distribution is often used in statistics to standardize data and calculate probabilities.

The standard normal distribution is represented by a bell-shaped curve that is symmetric around the mean of zero. The area under the curve represents the probability of a random variable falling within a certain range.

The Z-score, which measures the number of standard deviations a data point is from the mean, is commonly used in hypothesis testing and confidence interval calculations.

The standard normal distribution is widely used in various fields, including finance, psychology, and quality control.

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Answer:

8.0

Step-by-step explanation:

There are 1000 milliliters in one liter, so a two-liter bottle contains 1000 * 2 = 2000 milliliters of milk. Since one cup contains approximately 250 milliliters, a two-liter bottle contains 2000 / 250 = 8 cups of milk. Rounding this value to the nearest tenth, we find that there are approximately 8.0 one-cup servings of milk in a two-liter bottle.

Answer:

Ok

Step-by-step explanation:

Answer: C. Taking a trip on a raft is safe if the weight of guests and their belongings (x pounds) and the weight of the guide and her equipment (250 pounds) together are less than 1,200 pounds

Step-by-step explanation:

Answer:

20−−√ Is a irrational number

TT is a irrational number

Step-by-step explanation:

The population from which Garret should find a sample consists of all people in town who have tried beef brisket at various restaurants.

a. To find the best beef brisket in town, Garret should gather a sample from the population. In this case, the population consists of all people in town who have tried beef brisket at various restaurants. By selecting a representative sample from this population, Garret can gather opinions and feedback from a subset of individuals and draw conclusions about the overall preferences of the population.

b. A sample that is not representative of the population could be a group of individuals who are all friends or acquaintances of Garret. This sample may not accurately represent the diverse opinions and preferences of the entire population.

People who are close to Garret may have similar tastes, preferences, or biases, which could lead to a skewed perception of the best beef brisket in town. To obtain a representative sample, it is important to ensure that the sample is randomly selected and includes individuals with varying backgrounds, tastes, and dining experiences to capture the true diversity of opinions in the population.

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Answer: for this question we do 102/850 which equals 12%

Step-by-step explanation: Yes, because it is close to the percentage.

The true proportion of the side lengths of the quadrilaterals is A'B'/AB

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

Quadrilaterals ABCD and A'B'C'D

These quadrilaterals are similar

So, it means that the corresponding side lengths are proportional

So. we have

Side length = AB

Corresponding side length = A'B'

The true proportion is then represented as

k = Corresponding side length/Side length

Substitute the known values in the above equation, so, we have the following representation

k = A'B'/AB

Hence, the proportion is A'B'/AB

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Answer: 1000 thousands

Step-by-step explanation: million is 1000 thousands, a billion is 1000 millions, and a trillion is 1000 billions. HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

To draw a vector starting at black dot 3, consider its location and orientation, consider vector V 2v→2, draw a vector in the same direction as V 2v→2, and double-check accuracy and grading criteria.

To draw the vector starting at the black dot 3, you need to consider the location and orientation. The exact length of the vector will not be graded, but the length relative to vector V 2v→2 will be graded.

Here's how you can draw the vector:

1. Start by locating the black dot 3 on your coordinate plane.
2. Determine the direction and orientation of the vector based on the given information.
3. Consider vector V 2v→2 and its length.
4. Draw a vector starting at black dot 3 that is in the same direction as V 2v→2. Remember, the length of this vector is not important, but its relative length compared to V 2v→2 is graded.
5. Make sure the vector starts at black dot 3 and points in the same direction as V 2v→2.

Remember to double-check your work and ensure that the vector is accurate and meets the grading criteria.

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A valid prediction about the mean of the population is Option(b) The predicted mean of the population will be less than 245.

Sample data:

1 2 3 4 5 6

240 236 245 243 238 242

Mean = sum of sample data/sample frequency

(240+236+245+243+238+242)/6 = 240.67

Hence, the Correct answer is Option(b).

a) The predicted mean of the population will be less than 200.

b) The predicted mean of the population will be less than 245.

c) The predicted mean of the population will be more than 275.

d) The predicted mean of the population will be more than 250.

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Answer:

B) The predicted mean of the population will be less than 245.

(*✧×✧*)

The value of "a" is approximately 1.83 given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive.

We are given that the absolute value of the difference between the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive. We need to find the value of "a".

Let the two roots of the equation be r1 and r2, where r1 is not equal to r2. Then, we have:

|r1 - r2| = √(61) / 3

The sum of the roots of the quadratic equation is given by r1 + r2 = -5 / a, and the product of the roots is given by r1 × r2 = -3 / a.

We can express the difference between the roots in terms of the sum and product of the roots as follows:

r1 - r2 = √((r1 + r2)² - 4r1r2)

Substituting the expressions we obtained earlier, we have:

r1 - r2 = √(((-5 / a)²) + (4 × (3 / a)))

Simplifying, we get:

r1 - r2 = √((25 / a²) + (12 / a))

Taking the absolute value of both sides, we get:

|r1 - r2| = √((25 / a²) + (12 / a))

Comparing this with the given expression |r1 - r2| = √(61) / 3, we get:

√((25 / a²) + (12 / a)) = √(61) / 3

Squaring both sides and simplifying, we get:

25 / a² + 12 / a - 61 / 9 = 0

Multiplying both sides by 9a², we get:

225 + 108a - 61a² = 0

Solving this quadratic equation for "a", we get:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61)

Since "a" must be positive, we take the positive root:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61) ≈ 1.83

Therefore, the value of "a" is approximately 1.83.

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The question is -

Given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive, what is the value of "a"?

To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:

((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees

Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:

120 / 2 = 60 degrees

Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

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The length of BC rounded to 3 significant figures is approximately 3.62 units.

We can use trigonometric function to find the length of BC. First, we can use the fact that ∠CAB = 90° to determine that ∠ACB = 25° (since the angles in a triangle sum to 180°).

Next, we can use the law of sines to relate the lengths of the sides and angles of the triangle:

sin(∠ABC) / AB = sin(∠ACB) / BC

Substituting in the values we know:

sin(65°) / 8.6 = sin(25°) / BC

Solving for BC:

BC = sin(25°) × 8.6 / sin(65°) ≈ 3.62

Rounding to 3 significant figures, we get BC ≈ 3.62 units

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Answer:

x intercept is  

x = 8

and y intercept is  

y = 4

Step-by-step explanation:

Putting   x =0  in the equation we get y-intercept as  3⋅0+6y=24 or

y=4   y so, the y intercept is  y=4

Similarly putting  

y=0  in the equation we get x-intercept as  3x+6⋅0=24  or  x=8  so, the x intercept is  x=8

Answer:

x = -8

y = -4

x-intercept:  

( − 8 , 0 )

y-intercept:

( 0 , − 4 )

Answer:

40N

Step-by-step explanation:

F=ma

1st case:  72N = m(9m/s^2)

m = 72N/(9m/s^2)

2nd case:  F = m(5m/s^2)

m = F/(5m/s^2)

Since the mass is the same:

72N/(9m/s^2) = F/(5m/s^2)

F = 72N/(9m/s^2)/(5m/s^2)

F = (5/9)(72N)

F = 40N

Answer:

Value of what?

Step-by-step explanation:

Put your question DB and I'll answer!

Answer:

x = 15

Step-by-step explanation:

x = 15 means that if you have 1 + x and plug in the 15 for x, 1 + 15 you will get 16.

Note: I'm not quite sure what the question is on this one, but I hope I could help.

Answer:

y = 23 degrees

Step-by-step explanation:

115° and 5y° are equal because they are alternate exterior angles

115 = 5y

Divide by 5 to isolate the y

23 = y

so y is 23°