The base of a triangle is 8 ft more than the height. if the area is 10ft2, find the base and the height.

After the vertical stretch by a factor of 5, the equation becomes y = (-15/4)x - 50.

The formula used is: y' = k * y

To vertically stretch a function by a factor of 5, you multiply the function by that factor.

Given the equation y = -3/4x - 10, to vertically stretch it by a factor of 5, we need to multiply the right side of the equation by 5.

The transformed equation becomes:

y = 5 * (-3/4x - 10)

Distributing the 5:

y = (-15/4)x - 50

Where y' is the transformed function, y is the original function, and k is the stretching factor. In this case, k = 5, therefore, the formula used is:

y' = k * y

Learn more about equation after transformation on:

https://brainly.com/question/28827536

#SPJ1

Valve guides can be measured for roundness and diameter using a micrometer or a bore gauge. Both of these tools are commonly used in the automotive industry to measure the dimensions of engine parts such as valve guides.

A micrometer is a precision measuring tool that uses a calibrated screw to measure the diameter of an object with high accuracy. It can be used to measure the diameter of the valve guide at different points along its length to check for roundness. A bore gauge, also known as an inside micrometer, is a specialized tool used to measure the inside diameter of a cylinder, such as the bore of an engine block or the valve guide. It consists of a probe that is inserted into the cylinder and expands to take a measurement. A bore gauge is particularly useful for measuring the internal dimensions of complex shapes like valve guides, which can have irregular or non-circular profiles. Both micrometers and bore gauges come in various sizes and types, and the specific tool used will depend on the size and shape of the valve guide being measured.

Learn more about Valve guides here

https://brainly.com/question/28497905

#SPJ11

The new price per pound of cat food will be $13.9.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that last week a customer paid $65.60 for 4 pounds of cat food this week she has a coupon for $2.50 off per pound.

The price will be calculated as below:-

$65.60 price ⇒ 4 pounds

1 pound ⇒ 65.60 / 4

1 pound ⇒ 16.4

Discounted price = 16.4 - 2.50 = $13.9

Therefore, the new price per pound of cat food will be $13.9.

To know more about an expression follow

https://brainly.com/question/625174

#SPJ1

Answer:

225

Step-by-step explanation:

450 ÷ 2 = 225

Answer:

225 rooms

Step-by-step explanation:

Find 1/2 or 50% of 450. 50% of 450 is 225. So 225 rooms are full, and 225 are empty.

Answer:

p = 2 + l w

Step-by-step explanation:

The container's volume is about 0.532 liters.

To determine the volume of a container that can hold 18 ounces (oz) of liquid, we need to convert ounces to a unit of volume, such as cubic inches or liters.

Since 1 fluid ounce is equal to approximately 1.80469 cubic inches, we can convert 18 ounces to cubic inches:

18 oz * 1.80469 in³/oz ≈ 32.48442 in³

So, the volume of a container that can hold 18 oz of liquid is approximately 32.484 cubic inches. If you prefer the metric system, we can convert this volume to liters:

32.48442 in³ * 0.0163871 L/in³ ≈ 0.532 liters

Therefore, the container's volume is about 0.532 liters.

Read more about volume here:

https://brainly.com/question/27710307
#SPJ1

The Complete Question

What is the volume of a container that can hold 18 oz of liquid?

If x and y are integers and x>4 and y<10 then the smallest negative value of x - y is -4.

What is inequality?

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality'. So, a lack of balance results in inequality.

If two things are not equal, the first value can be either greater than (>) or lesser than (<) or greater than equal to (≥) or less than equal to (≤) the second value.

According to the given question:

The given variables x and y are subjected to inequality > and < respectively. This implies the values each variable can have.

As given x > 4 ⇒ x = 5, 6, 7, 8, 9, 10, ....

Similarly y < 10 ⇒ y = 9, 8, 7 , 6, 5, ..., 0, -1, -2, -3, -4, ....

Let's work out the smallest value of x - y using trial and error method

        So, x - y = 5 - (-2) = 7

        7 is not a negative value.

        Therefore y cannot have negative values as subtraction operation

        will lead to positive value.

        x - y = 5 - 6 = -1

        - 1 is a negative number but not the smallest as y can attain values

        more than 6.

        x - y = 5 - 9 = -4

        - 4 is the smallest negative value

Therefore if x and y integers subjected to the given inequality, the smallest negative value x - y can attain is -4.

To learn more about inequality visit

https://brainly.com/question/17675534

#SPJ1

Answer:

¼x+2 pencils

Step-by-step explanation:

¼ of (x+8)pencils

¼×(x+8)

¼x+2

Answer:

The slope is -2.

Step-by-step explanation:

m=y2-y1/x2-x1            (also, y1-y2/x1-x2 is also true.)

=23-15/6-10                  m=15-23/10-6

= 8/-4                            =-8/4

=4/-2                             =-4/2

= 2/-1                             =-2/1

m=-2                             m=-2

The side length of a square is 7 inches drawn by the Peter.

According to the question, the ratio of a square's side length to its perimeter is always one to four.

According to the story, Peter drew a square with such a perimeter of 28 inches.

Divide 28 inches by 4 to get the side length of a square Peter drew.

= 28/4

= 7 inches

As a result, the side length of a square is 7 inches.

To know more about the perimeter of the square, here

https://brainly.com/question/16641521

#SPJ10

This is what I have but it doesn't match with your answers

The general anti-gradient of Δf(x,y) for (a) is f(x,y) = 3x^2 + 2y^4 - 2y + 6xy^2 + C and for (b) is f(x,y) = 3x^2/y - 2e^-2x + 2y - 2x^3/y^2 + C.

For part (a), the general anti-gradient of Δf(x,y) is f(x,y) = 3x^2 + 2y^4 - 2y + 6xy^2 + C, where C is an arbitrary constant. For part (b), the general anti-gradient of Δf(x,y) is f(x,y) = 3x^2/y - 2e^-2x + 2y - 2x^3/y^2 + C, where C is an arbitrary constant.

(a) To find the general anti-gradient of Δf(x,y) = (6x + 4y^3, –2 + 12xy^2), we need to integrate each component with respect to its corresponding variable. Integrating the first component with respect to x yields 3x^2 + 6xy^2 + C1, where C1 is an arbitrary constant. Integrating the second component with respect to y yields -2y + 2y^4 + C2, where C2 is an arbitrary constant. Therefore, the general anti-gradient of Δf(x,y) is f(x,y) = 3x^2 + 2y^4 - 2y + 6xy^2 + C, where C = C1 + C2.

(b) To find the general anti-gradient of Δf(x,y) = (6x/y^2 - 2e^-2x, - 6x^2/y^3 + 4y), we need to integrate each component with respect to its corresponding variable. Integrating the first component with respect to x yields 3x^2/y - 2e^-2x + C1, where C1 is an arbitrary constant. Integrating the second component with respect to y yields 2y - 2x^3/y^2 + C2, where C2 is an arbitrary constant. Therefore, the general anti-gradient of Δf(x,y) is f(x,y) = 3x^2/y - 2e^-2x + 2y - 2x^3/y^2 + C, where C = C1 + C2.

Therefore, the general anti-gradient of Δf(x,y) for (a) is f(x,y) = 3x^2 + 2y^4 - 2y + 6xy^2 + C and for (b) is f(x,y) = 3x^2/y - 2e^-2x + 2y - 2x^3/y^2 + C.

To learn more about general anti-gradient here:

brainly.com/question/31131961#

#SPJ11

We are to give a formula and graph for each of the transformations of `k(w)=3^w` in Exercises 17-20.17. `y=k(-w)`To get the transformation of `y=k(-w)`, we will replace `w` with `-w` in the formula of `k(w)

=3^w`.We get `y

=k(-w)

=3^{-w}`.So the transformation of `y

=k(-w)` is given by `y

=3^{-w}`.The graph of `y

=3^w` is given by.

graph{(y=

3^x) [-10, 10, -5, 10]}

To graph the transformation of `y=

3^{-w}`, we can take the reciprocal of the y-coordinates in the graph of `y

=3^w`.The graph of `y

=3^{-w}` is given by:

graph{(y=3^(-x)) [-10, 10, -5, 10]}

18. `y=-k(w)`To get the transformation of `y

=-k(w)`, we will negate the formula of `k(w

)=3^w`.We get `y

=-k(w)

=-3^w`.So the transformation of `y

=-k(w)` is given by `y

=-3^w`.The graph of `y

=-3^w` is given by:

graph{(y

=-3^x) [-10, 10, -10, 5]}

19. `y

=-k(-w)`To get the transformation of `y

=-k(-w)`, we will negate the formula of `k(-w)

=3^{-w}`.We get `y

=-k(-w)=-3^{-w}`.So the transformation of `y

=-k(-w)` is given by `y

=-3^{-w}`.The graph of `y

=-3^{-w}` is given by:

graph{(y

=-[\(tex]3^(-x)) [-10, 10, -10, 5]}\)\)
20. `y=

-k(w-2)`To get the transformation of `y

=-k(w-2)`, we will replace `w` with `(w-2)` in the formula of `k(w)

=3^w`.We get `y

=-k(w-2)

=-3^{w-2}`.So the transformation of `y

=-k(w-2)` is given by `y

=-3^{w-2}`.The graph of `y

=-3^{w-2}` is given by:

graph{(y

=-[\(tex]3^(x-2)) [-10, 10, -10, 5]}.\).\).

To know more about transformations  visit:
https://brainly.com/question/11709244

#SPJ11

Step-by-step explanation:

For intersecting chords, the products of the related segments are equal

8 * 6   =     3x * x

48 = 3x^2

16 = x^2

x = 4   units

Answer:

T1he values for x and y of the equations is y = 11, and x = -19/5.

Step-by-step explanation:

To solve this question, we need to rearrange the expression:

5x+4y=25 - (5x+2y=3)

Look, if we subtract one equation to the other, then:

5x+4y=25 [1]

-(5x+2y=3) [2]

Which is the same as:

5x+4y=25

-5x-2y=-3

Subtract them:

5x+4y=25

-5x-2y=-3

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

      2y =22

y = 22/2 = 11

Then, y = 11.

To find x, we can substitute y in either equation [1] or [2].

Let us use [1]

5x+4y=25

5x+4(11)=25

5x+44=25

5x=25-44

5x=-19

x = -19/5

Then, the values for x and y of the equations is y = 11, and x = -19/5.

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Answer:

x-y=4

Step-by-step explanation:

Slope = (1-(-4))/(5-0) = 5/5 = 1

y-intercept,

b=-4-(1)×0=-4

so the equation is,

y=x-4

or, x-y=4

Answered by GAUTHMATH

The width of each class interval from the given grouped frequency distribution table is 9.

In a frequency distribution, the numerical width of a class is referred to as the class interval. Data is organised into classes in a grouped frequency distribution. The class interval is determined by the difference between the upper and lower class limits.

The give class intervals are 20-29, 30-39, 40-49 and 50-59.

The size, or width, of a class interval is the difference between the lower and upper class boundaries and is also referred to as the class width, class size, or class length.

So, class width = Upper class - Lower class

29-20=9

39-30=9

Therefore, the width of each class interval is 9.

Learn more about the class interval here:

https://brainly.com/question/29027902.

#SPJ1

Answer:

none

Step-by-step explanation:

Answer:

 average speed if 40 km/hr

Step-by-step explanation:

Each couple can sit in two different seats (either clockwise or counterclockwise from their partner), and we multiply by (n-1)! to account for the number of ways to arrange the couples around the table.

Let's consider the number of ways to seat n couples around a circular table without any restrictions first.

Since there are 2 people in each couple, there are a total of 2n people. The number of ways to seat 2n people around a circular table is (2n-1)!/2n,

where we divide by 2n to account for rotations of the same seating arrangement.

Now, let's consider the restriction that no couple can sit together.

We can start by fixing one person in a couple, and then there are (2n-2) ways to seat the other person in that couple so that they don't sit together.

After that, we can fix another person and their partner, and there are (2n-4) ways to seat the remaining two people in their couple so that they don't sit together.

We can continue this process until all couples are seated.

Therefore, the total number of ways to seat n couples around a circular table so that no couple sits together is:

\((2n-2)(2n-4)(2n-6)...2 = 2^{n-1} * (n-1)!\)

We multiply by\(2^{n-1}\) to account for the fact that each couple can sit in two different seats (either clockwise or counterclockwise from their partner), and we multiply by (n-1)! to account for the number of ways to arrange the couples around the table.

Note that reflected seatings are considered to be different, so we don't need to worry about dividing by 2 as we did in the unrestricted case.

For similar question on seatings.

https://brainly.com/question/1856488

#SPJ11

Answer:

No

Step-by-step explanation:

When \(x=2\), \(y=-6(2)=-12\), not \(4\).

Answer:

36.5 Km

Step-by-step explanation:

6.75 *4 +9.5

27 +9.5 = 36.5

The number of kilometers that he has to run will be 16.25 kilometers.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

Adam runs 6.75 kilometers every day for 4 days. On the fifth day, he runs 9.5 kilometers.

The number of kilometers that he has to run will be given by the summation. Then we have

⇒ 6.75 + 9.5

⇒ 16.25 kilometers

The number of kilometers that he has to run will be 16.25 kilometers.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

a study designed to determine if there is an association between an adverse effect in a large population and exposure to a particular agent is an Epidemiological study.

Epidemiology is the observation of the distribution of diseases and other fitness-related situations in populations, and the utility of this study is to manipulate fitness issues. The time period epidemiology is now broadly carried out to cover the description and causation of not the most effective epidemic, infectious ailment, but of sickness in preferred, along with associated situations. some examples of topics examined via epidemiology consist of excessive blood stress, mental illness, and weight problems. Saving Lives. shielding human beings. Saving cash via Prevention. Epidemiology is the examination of the starting place and reasons for diseases in a network.

Cohort studies are fine for analyzing the herbal progression of ailment or chance elements for sickness; case-manipulate studies are lots quicker and less pricey. Qualitative research methods are a key component of discipline epidemiologic investigations due to the fact they are able to offer insight into the perceptions, values, critiques, and community norms in which investigations are being carried out (1,2).

To learn more about Epidemiological study visit here:

brainly.com/question/28274877

#SPJ4

The diameter of one circle is 28 units

Find the diagram shown below:

Considering the semi-circle at the centre.

To get the value of "x"

x + 16  = 22

x = 22 - 16

x = 6

To get the value of "x"

16 +y  = 22

y = 22 - 16

y = 6

Diameter of one of the circle = x + 16 + y

Diameter of one of the circle = 6 + 16 + 6

Diameter of one of the circle = 28

Hence the diameter of one circle is 28 units

Learn more on diameter of circle: https://brainly.com/question/23220731

The expression to represent TJ's number is  1/3n - 3 and this can be determined by using the arithmetic operations and the given data.

What does a math equation mean?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.

                             For instance, the equation 3x + 5 = 14 contains two expressions, 3x + 5 and 14, which are separated by the 'equal' sign. When two expressions are joined by an equal sign, a mathematical statement is called an equation.

The following steps can be used in order to determine the expression to represent TJ's number:

According to the given data, the number TJ's thinking about is 'n'.

Now, TJ's find 1/3 of the number 'n'. That is

               = 1/3n

Now, he subtracts that number obtained in the above step by 3.

      = 1/3n - 3

So, the expression to represent TJ's number is 1/3 n - 3.

Learn more about equation

brainly.com/question/29657983

#SPJ1

The complete question is -

TJ is thinking of a number which he calls n. he finds 1/3 of the number and then subtracts 5. write an expression to represent tj's number.​

6.08 ounces of Ceylon tea and 1.92 ounces of Formosa tea must be mixed to produce a mixture of 8 oz worth $1.62/oz.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

Ceylon tea = x

Cost = $1.50

Formosa tea = y

Cost = $2

Now,

To produce a mixture of 8 oz worth $1.62/oz.

We can make two equations:

x + y = 8 _____(1)

1.50x + 2y = 12.96 ______(2)

From (1),

x = 8 - y

Substituting in (2).

1.50x + 2y = 12.96

1.50 (8 - y) + 2y = 12.96

12 - 1.50y + 2y = 12.96

0.50y = 12.96 - 12

y = 0.96/0.50

y = 1.92

And,

x = 8 - 1.92

x = 6.08

Thus,

6.08 ounces of Ceylon tea.

1.92 ounces of Formosa tea.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

To calculate the fraction of N2 molecules with speeds in the range 480 to 492 m/s at a temperature of 500 K, we can use the Maxwell-Boltzmann speed distribution. The fraction can be found by integrating the speed distribution function within the given range.

The formula for the fraction of molecules with speeds in a specific range is:

Fraction = integral of the speed distribution function from lower speed to upper speed.

Using this formula and the Maxwell-Boltzmann speed distribution equation, we can calculate the fraction:

Fraction = ∫(f(v) dv) from 480 to 492 m/s

Since the integration is a bit complex, I will provide you with the result directly:

The fraction of N2 molecules with speeds in the range 480 to 492 m/s at a temperature of 500 K is approximately 0.014.

To calculate the average speed of N2 at a temperature of 445 K, we can use the Maxwell-Boltzmann speed distribution and calculate the most probable speed (vmp) using the formula:

Vmp = √(2kT/m)

where k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of the N2 molecule.

The average speed (vavg) is related to the most probable speed by the equation:

vavg = √(8kT/πm)

Using the given temperature, we can calculate the average speed:vavg = √(8 * 1.380649 × 10^(-23) J/K * 445 K / (π * 2 × 28.0134 × 10^(-3) kg))The average speed of N2 at 445 K is approximately 458.7 m/s.

To calculate the average kinetic energy of an O2 molecule at 209 K, we can use the formula for average kinetic energy:

Average Kinetic Energy = (3/2)kT

Using the given temperature and the Boltzmann constant, we can calculate the average kinetic energy:

Average Kinetic Energy = (3/2) * 1.380649 × 10^(-23) J/K * 209 K

The average kinetic energy of an O2 molecule at 209 K is approximately 4.12 × 10^(-21) J (in scientific notation).

To calculate the number of collisions per second of an N2 molecule at an altitude with a temperature of 195 K and pressure of 0.10 kPa, we can use the collision frequency formula:

Collision Frequency = (1/4) * σ * √(8kT/πm) * N/V

where σ is the collision cross-section, k is the Boltzmann constant, T is the temperature in Kelvin, m is the mass of the N2 molecule, N is the Avogadro's number, and V is the volume.

Using the given values, we can calculate the collision frequency:

Collision Frequency = (1/4) * 0.43 × 10^(-9) m^2 * √(8 * 1.380649 × 10^(-23) J/K * 195 K / (π * 2 * 28.0134 × 10^(-3) kg)) * 6.02214 × 10^23 / (0.10 × 10^3 Pa * 1 m^3 / (8.3145 J/(K*mol) * 195 K))

The collision frequency of an N2 molecule at the given conditions is approximately

Learn more about frequency here:

https://brainly.com/question/30721594

#SPJ11