what is the slope of this line?

The value of after differentiation dy/dx will be ( 4 - y² ) / ( 2xy ).

By using the concept of differentiation by parts the differential will be done in two parts. In the first part, it is done with respect to y and in the second part the differentiation is done for x.

Given function is xy²= 4. The given expression will be different as below,

dy / dx ( xy² ) - 4 = 0

2xy( dy / dx) + y² = 0

dy / dx = -y / 2x

Therefore, the value of dy/dx upon differentiation will be (4 - y2) / ( 2xy ).

To know more  about differentiation follow

https://brainly.com/question/16644382

#SPJ9

The reflected function across the {x} - axis would be -

g(x) = -2/5 (10)ˣ.

If the function f(x) is reflected across the {x} - axis, then the new function g(x) becomes -

g(x) = - f(x)

Given is the function as -

f(x) = 2/5 (10)ˣ

We can write the reflected function as -

g(x) = - f(x)

g(x) = - {2/5 (10)ˣ}

g(x) = -2/5 (10)ˣ

Therefore,  the reflected function across the {x} - axis would be -

g(x) = -2/5 (10)ˣ.

To solve more questions on reflections, visit the link -

brainly.com/question/30098550

#SPJ1

The system of equations are parallel lines and they do not intersect. Thus, the system has no solution.

Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline.

No matter how far we extend a parallel line, it will never meet another parallel line.

Given that,

y=x-2

y=x-1

For x = 1:

y = x - 2 = 1 -2 = -1

y = x - 1 = 1 - 1 = 0

For x = 2:

y = 2- 2 = 0

y = 2 -1 = 1

Plot the graph using the points.

The two lines have the same slope hence they are parallel lines.

Since, the two lines are parallel the system has no solutions.

Learn more about system of equations here:

https://brainly.com/question/90105

#SPJ1

Answer:

(a) highest number of groups  = 5

(b) out how many, of each color marble, will be in each group.
5 red

3 blue

2 yellow

Step-by-step explanation:

The GCF of 25, 15, 10 gives you the greatest number of groups you can form with those numbers

GCF of 25, 15 and 10 can be found as follows by finding factors of each number:

25 = 5 x5

15 = 5 x 3

10 = 5 x 2

Choose the highest number that is common in each group and this is 5

So John can make a maximum number of 5 groups

Divide each number by the GCF to find how may in each group

25/ 5 = 5 red marbles
15/5 = 3 blue marbles

10/5 = 2 yellow marbles

So there are 5 groups max possible each group containing 5 red, 3 blue and 2 yellow marbles

The value of expression after change its measurement as;

⇒ 3.4 × 10⁻⁴ kg . m²/ s²

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

The expression is,

⇒ 3.4 × 10⁵ g . cm² / s²

Now, We know that;

⇒ 1 cm = 1/1000 m

⇒ 1 cm = 1/10³ m

⇒ 1 g = 1/1000 kg

⇒ 1 g = 1/10³ kg

Hence, We get;

⇒ 3.4 × 10⁵ g . cm² / s²

⇒ 3.4 × 10⁵ (1/10³) kg . (1/10³)² m²/ s²

⇒ 3.4 × 10⁵ × 10⁻³ × 10⁻⁶ kg . m²/ s²

⇒ 3.4 × 10⁻⁴ kg . m²/ s²

Learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ1

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

Solving For #7

We will use the Angle Bisector Theorem

The angle bisector theorem states that in a triangle, the angle bisector of any angle will divide the opposite side in the ratio of the sides containing the angle.

In the figure provided in #7 we see that QS bisects ∠Q forming two smaller triangles ΔPQS and ΔQRS

According to the angle bisector theorem:

[tex]\dfrac{PQ}{QR} = \dfrac{PS}{RS}\\\\\textrm{Or, alternatively}\\\\\dfrac{QR}{PQ} = \dfrac{RS}{PS}\\[/tex]

Given
[tex]QR = 12.6\\PQ = 7\\RS = x\\PS = 5\\\\[/tex]

[tex]\dfrac{PQ}{QR} = \dfrac{PS}{RS}\\\\\textrm{Or, alternatively}\\\\\dfrac{QR}{PQ} = \dfrac{RS}{PS}\\\\\\\rightarrow \dfrac{12.6}{7} = \dfrac{x}{5}[/tex]

If we multiply by [tex]5[/tex] both sides of the equation we can get rid of the denominator 5 on the right side:
[tex]\rightarrow \dfrac{12.6}{7} \times 5 = x\\\\9 = x\\\\\boxed{x = 9}[/tex]

On solving the provided question, we can say that Frequency Percentage is equal to the relative frequency times one hundred.

In order to make the information easier to understand, frequencies are organized into frequency distributions, which are visual displays. The frequencies displayed in a frequency distribution can be absolute or relative, like ratios or percentages. Both a graph and a table of frequencies can be used to represent a frequency distribution. Both the exact number of observations and the proportion of observations falling within each range can be displayed in a frequency distribution. A relative frequency distribution is the name given to the distribution in the latter scenario. The frequency of an observation is the frequency with which it appears in the data. The frequency of the number 9 in the following list of numbers, for instance, is 5. (because it occurs 5 times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9.

25–29 is listed as the First Class Group.

Class size is 4 (29-25).

Maintain the same class size for reminders from 89 through 93.

Count the values and record the frequency next to the appropriate class.

Midpoint equals (higher class limit plus lower class limit) / 2.

Relative Frequency is equal to Frequency/total Values.

Cumulative Frequency equals the sum of the past and current frequencies.

Frequency Percentage is equal to the relative frequency times one hundred.

Class Recurrence Point Midway Frequency relative Frequency Added Up percentage of frequency 25-29 0 27 0 0 0.00% 1.25% 1 31 0.0125

%ile Rank for 48 = 12.5

To know more about frequency distribution visit:

https://brainly.com/question/14926605

#SPJ1

The common factor is  6[tex]e^{6x}[/tex]  (2x - 5)⁸.

What is a common factor?

These are the "common factors" when we determine the factors of two or more numbers and discover some of those factors are the same (or "common").

Given that

d/dx[[tex]e^{6x}[/tex](2x - 5)⁹]

The formula of the product rule is d/dx(uv) = uv' + vu'.

=(2x - 5)⁹d/dx([tex]e^{6x}[/tex]) +  [tex]e^{6x}[/tex]d/dx(2x - 5)⁹

Now applying the formula d/dx(x^n) = nx^(n-1), d/dx e^(mx) = m e^(mx)

=(2x - 5)⁹ 6[tex]e^{6x}[/tex] + [tex]e^{6x}[/tex]×2×9 × (2x - 5)⁸

= 6[tex]e^{6x}[/tex]  (2x - 5)⁹ + 18[tex]e^{6x}[/tex](2x - 5)⁸

Now taking common 6[tex]e^{6x}[/tex]  (2x - 5)⁸

= 6[tex]e^{6x}[/tex]  (2x - 5)⁸ [(2x - 5) + 3]

= 6[tex]e^{6x}[/tex]  (2x - 5)⁸ [2x - 5 + 3]

= 6[tex]e^{6x}[/tex]  (2x - 5)⁸(2x - 2)

To learn more about derivatives, click on the below link:

https://brainly.com/question/25324584

#SPJ1

The error is 20 and absolute error for the pen sets is also 20. Absolute error is the difference between a quantity's observed or inferred value and its actual value.

Absolute error is the difference between such a quantity's observed or assumed value and its real value. Because it doesn't indicate the error's magnitude, the absolute inaccuracy is insufficient.

The difference between a quantity's measured value and its actual value is known as absolute error. The difference between the measurement's absolute error and the quantity's actual value is referred to as relative error.

To know more about absolute error visit;

https://brainly.com/question/11599357

#SPJ1

Answer:

15%

Step-by-step explanation:

flip edge

The quadratic function is of the given question is f(x) = [tex]-2x^{2}[/tex] + 10x + 1.

When a, b, and c are constants and x is an unknown variable, the equation has the form [tex]ax^{2}[/tex] + bx + c = 0, which is known as a quadratic equation. The unknown variable x is solved for using the quadratic equation.

The largest power of the variable in a quadratic equation is two. The variable is now squared, but it may also have a coefficient, often known as a multiplier, in front of it. Two more components in the equation are made up of a constant and a variable with an exponent of 1.

In the given question,

The equation of the quadratic function with a vertex at (-1, 3) and passing through (-4, -6) can be written as:

y = [tex]a(x + 1)^{2}[/tex] + 3

Where a is a constant that determines the shape of the function. To find the value of a we can substitute the coordinates of the vertex and the point into the equation and solve for a.

Substituting (x, y) = (-1, 3) into the equation:

3 = [tex]a(-1 + 1)^{2}[/tex] + 3

Simplifying:

3 = [tex]a(0)^{2}[/tex] + 3

3 = 3

Since both sides are equal, a = 1.

Substituting (x, y) = (-4, -6) into the equation:

-6 = [tex]a(-4 + 1)^{2}[/tex] + 3

Simplifying:

-6 = [tex]a(-3)^{2}[/tex] + 3

-6 = 9a + 3

-9 = 9a

Divide each side by 9:

-1 = a

Since both values of a are equal, a = -1.

Therefore, the equation of the quadratic function with a vertex at (-1, 3) and passing through (-4, -6) is:

y = [tex]-(x + 1)^{2}[/tex] + 3

To know about the quadratic function, visit

brainly.com/question/18958913

#SPJ1

The probability that the sum of the ticket is 5, expressed as a percentage is 30%

The probability that an event will occur can be found by the ratio of the number of times the event occurs to the number of all possible events.

The five tickets in the box = 1, 2, 3, 4, 3

The tickets that sum to 5 are; 1 and 4, 2 and 3

The probability that the first ticket picked is 1 = 1/5

The probability that the next ticket picked is a 4 = 1/(5-1) = 1/4

Therefore, the probability of picking a 1 and 4 = (1/5) × (1/4) = 1/20

Similarly, the probability of picking a 4 and then a 1 is 1/20

The probability of picking tickets with numbers 1 and 4 in either order therefore = 2 × 1/20 = 1/10

The probability that the first ticket drawn is 2 = 1/5

The probability that the next ticket picked is a 3 = 2/(5-1) = 1/2

Therefore, the probability to draw a 2 and 3 = (1/5) × (1/2) = 1/10

The probability that the first ticket picked is 3 = 2/5

The probability that the next ticket picked is a 2 = 1/(5-1) = 1/4

Therefore, the probability of picking a 3 and 2 = (2/5) × (1/4) = 2/20 = 1/10

The probability of picking a 2 and a 3 in either order is therefore;

1/10 + 1/10 = 2/10 = 1/5

The probability that the sum of the ticket is 5, is the sum of the probabilities of picking a 1 and a 4 and the probability of picking a 2 and a 3, which is; 1/10 + 1/5 = 3/10 = 0.3

Learn more on probabilities here: https://brainly.com/question/17082285

#SPJ1

Answer:

Step-by-step explanation:

square = a plane figure with four equal straight sides and four right angles.

so

7x + 13 = 90

7x = 90 - 13

7x = 77

x = 77 : 7

x = 11

------------------------

check

7 x 11 + 13 =  90

90 = 90

the answer is good

Since they are demanding a change in the law to have a voice in any major decisions through voting. If the king allows this, it will change the Leswaygo form of government to: B. democracy.

In Government, democracy can be defined as a type of government that is established by the people and generally for the people. This ultimately implies that, a democracy refers to a type of government that accords all the power to the people.

This simply means that, that the form of power that is exercised through the people is generally referred to as democracy. Additionally, all the people living in a country that practice democracy are expected to elect legislators at large and have a voice in any major decisions through voting.

In this context, we can infer and logically deduce that Leswaygo form of government would be changed to democracy.

Read more on democracy here: https://brainly.com/question/2990635

#SPJ1

Answer:

I took the quiz it was B democracy

Step-by-step explanation:

It was democracy because that is the strongest form of government

The correlation coefficient r of the data given is 0.938  

The correlation coefficient is a statistical measure of the strength of a linear relationship between two variables.

Given that a set of data showing the values of variables x and y, we are asked to find the correlation coefficient r of the data given,

We know that,

The correlation coefficient r is a number between and calculated to represent the linear dependence of two variables or sets of data.

Using an Excel tool :- (CORREL function) = CORREL(B3:B10,C3:C10)

We get, r = 0.938

Hence, the correlation coefficient r of the data given is 0.938  

Learn more about correlation coefficient, click;

https://brainly.com/question/15577278

#SPJ1

The value of b is given as follows:

b = 8.4.

The value of b is obtained solving the definite integral in this problem.

The integral of the function 2x - 6 is given as follows:

x² - 6x.

At x = b, the numeric value of the integral is given as follows:

b² - 6b.

At x = -1, the numeric value of the integral is given as follows:

(-1)² - 6(-1) = 1 + 6 = 7.

Applying the Fundamental Theorem of Calculus, the equation to obtain the value of b is given as follows:

b² - 6b - 7 = 13.

b² - 6b - 20 = 0.

Which is a quadratic function with the coefficients given as follows:

a = 1, b = -6 and c = -20.

The discriminant is given as follows:

D = b² - 4ac

D = (-6)² - 4(1)(-20)

D = 116.

Hence the positive solution is given as follows:

b = (-b + sqrt(D))/2a

b = (6 + sqrt(116))/2

b = 8.4.

More can be learned about definite integrals at https://brainly.com/question/22008756

#SPJ1

Answer:

To find the amount of the discount, we need to multiply the purchase price by 20% or 0.20.

Discount = $365 × 0.20 = $73

So, the discount on a $365 purchase is $73.

The price after the discount would be $365 - $73 = $292.

To calculate the discount on a $365 purchase with a 20% discount, you can follow these steps:

1. Calculate the discount amount:

Discount = 20% x $365 = $73

2. Subtract the discount from the original price:

Final price = $365 - $73 = $292

Therefore, the final price of the $365 purchase with a 20% discount is $292.

Two ratios from the image that are equivalent to each other are the oranges shapes and the two smaller green shapes.

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1: 3 and 2: 6 are equivalent.

In this case, the two orange shapes are equivalent because they are the same size seeing as they both occupied the same portions of the green and white shapes. The smaller green shapes are also equivalent as they have the same length and width.

Find out more on equivalent ratios at https://brainly.com/question/13513438

#SPJ1

Answer:

3 paintbrushes

Step-by-step explanation:

15 divided by 5 is 3.

So, Mrs. Hamada will put 3 paintbrushes in each cup.

Answer: 25 per child

Step-by-step explanation:

20 x 10 = 200

200/8 = 25

The value of x in the given set triangles are:

1) x=17.5

2) x=48

3) x= 8

4) 24.5

5) x=11

6) x=9

What is Triangle Proportionality Theorem?

If a line parallel to one side of a triangle contacts the other two sides of the triangle, the line proportionally splits these two sides.

1) According to Triangle Proportionality Theorem,

from given fig 1,

          [tex]\frac{14}{12} =\frac{x}{15} \\\\\frac{7}{6} =\frac{x}{15} \\\\x= 17.5[/tex]

2) From fig 2,

          [tex]\frac{x}{18} =\frac{56}{21} \\\\x=48[/tex]

3) From fig 3,

           [tex]\frac{x}{36} =\frac{10}{45} \\\\\frac{x}{36} =\frac{2}{9} \\\\x=8[/tex]

4) From fig 4,

          [tex]\frac{6}{21}=\frac{7}{x} \\\\6x=7*21\\\\x=24.5[/tex]

5) From fig 5,

         [tex]\frac{30}{x+7} =\frac{25}{15} \\\\\frac{30}{x+7} =\frac{5}{3} \\\\x=11[/tex]

6) From fig 6,

         [tex]\frac{6}{21}=\frac{x-1}{3x+1} \\\\ 18xx+6=21x-21\\\\3x=27\\\\x=9[/tex]

To know more about Triangle Proportionality Theorem visit,

https://brainly.com/question/8160153

#SPJ1

The probability of Bryson choosing a number greater than 4 is given as follows:

Amount of numbers that are greater than 4 / Total amount of numbers.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

For this problem, the outcomes are given as follows:

The problem is incomplete, hence the procedure to obtain the probability was described.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

Answer:

The answer is likely

Step-by-step explanation:

Answer:

3rd choice  (x + 8)² + (y - 11)² = 4

Step-by-step explanation:

(x - -8)² + (y - 11)² = 2²

(x + 8)² + (y - 11)² = 4

Step-by-step explanation:

(x - h)² + (y - k)² = r²

h = -8

k = 11

r = 2

(x + 8)² + (y - 11)² = 2²

(x + 8)² + (y - 11)² = 4

The answer is C. (x+8)² + (y-11)² = 4

The value of angle ABE is 52°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.

The interior angles of a triangle are the inside angles formed where two sides of the triangle meet.

The sum of interior angle in a triangle is 180°

Angle EBD = 180-(90+27)

= 180-117

= 63°

angle ABE + EBD = ABD

ABE = ABD - EBD

ABE = 115-63

= 52°

Therefore the value of angle ABE is 52°

learn more about interior angle of triangle from

https://brainly.com/question/25215131

#SPJ1

=break your pencil lead while writing, and = feel overly stressed.

=put together a swing set correctly, and =read the directions.

These are independent events because the occurrence of one event does not affect the occurrence of the other event. Breaking a pencil lead while writing and feeling overly stressed may happen at the same time, but one event does not cause the other. Similarly, putting together a swing set correctly and reading the directions are independent events because one action (reading the directions) does not determine the outcome of the other action (assembling the swing set correctly).

=make an error on your income tax return, and =file Form 1040 long.

These are dependent events because the occurrence of one event (making an error on the tax return) affects the occurrence of the other event (filing Form 1040 long). If you make an error on your tax return, you may need to file a longer form to correct it.

=have a salad with dinner, and =work on a home project.

These are also dependent events because one event (having a salad with dinner) does not determine the outcome of the other event (working on a home project). These events may happen at the same time, but one does not cause the other.

From the provided graph, Due to the greater impact of the internet on education and news, PPF on the x-axis (education and news axis) moves more than the shift on the y-axis.

Mathematicians use graphs to lοgically convey facts or values using visual representations or charts. A graph pοint will typically reflect a relationship between two or more things. Nοdes, or vertices, and edges make form a graph, a nοn-linear data structure. Glue together the nodes, often referred tο as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representatiοns of expοnential growth. a lοgarithmic graph in the shape of a triangle.

Assume that in the "οld PPF," which existed befοre the internet, equal amounts of news, educatiοn, and other commodities and services are generated.

Due to the greater impact οf the internet on education and news, PPF on the x-axis (education and news axis) moves mοre than the shift on the y-axis.

To know more about graphs visit:

brainly.com/question/11950136

#SPJ1

De acuerdo con la información, se puede inferir que Jim vendió 634 sándwiches de bistec y 351 perritos calientes.

Para identificar cuántos perros y sandwiches vendió Jim durante la feria debemos comprobar con diferentes números hasta encontrar el número correcto. En este caso, debemos multiplicar el valor de cada producto por un número específico e ir ajustado los valores hasta obtener el número total de productos.

En este caso, la cantidad de sándwiches vendidos por Jim sería 634 y perritos 351.

Aprenda más sobre comidas en: https://brainly.com/question/7729754

#SPJ1

The median of the following salary list is 29763.

The median is the average in the centre of a data collection, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median. For a small data collection, calculate the number of data points (n) and organize them in ascending order.

The middle score in the group is called the median. Begin by sorting all of the data sets from lowest to highest before calculating the median. The median in an odd-numbered set will be the value that falls exactly in the center of the list. You must determine the average of the two middle integers in a set of even numbers.

Arrange in ascending order

21955, 25963, 27507, 32019, 38850, 43715

Take the two mid terms

27507 and 32019

Median = [tex]\dfrac{27507 + 32019}{2}[/tex]

Median = 29763

To know more about median, visit

brainly.com/question/28060453

#SPJ1

Answer:

$560

Step-by-step explanation:

The formula for simple interest is:

I = Prt, where P is the principal, r is the interest rate, and t is the time (in years).

Plugging in the values, we get:

I = $7,000 * 2% * 4 years = $560

So, Marsha earned $560 in interest.

Amelia and Lucas' son's weight is 17.41 kilograms.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 km = 1000 m

We have,

Amelia and Lucas' son's Weight = 38.3 pounds.

1 kilogram = 2.2 pounds

Multiply 38.3/2.2 on both sides.

17.41 kilograms = 38.3 pounds

Thus,

Amelia and Lucas' son's weight is 17.41 kilograms.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ9

Answer: 3

Step-by-step explanation:

Took the test