Use the formula B=kw/h2 to find the body mass index of a man with the given weight and height.

Given P(-4,17), Q (1,-3), R(-9,3), S(-5,4), slope of line PQ m(PQ) = -4 and slope of line RS m(RS) = 1/4 and Both lines are perpendicular.

If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular. Horizontal and vertical lines are perpendicular to each other i.e. the axes of the coordinate plane.

To calculate the slope of the two lines;

Mathematically;

Slope = y2-y1/x2-x1

For PQ; slope will be;

Slope of line PQ m(PQ) = (-3-17)/(1-(-4)

Slope of line PQ m(PQ) = -20/5

Slope of line PQ m(PQ) = -4

For RS; slope will be;

Slope of line RS m(RS) = (4-3)/(-5-(-9))

Slope of line RS m(RS) = 1/4

We want to determine the relationship between the two lines.

The product of both is 1/4 * -4 = -1

When two lines are perpendicular, the product of their slopes is -1

We can conclude that both lines are perpendicular to one another.

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An essay on the real - life application of lines would include different fields where lines are used in real life.

Line drawings are used in the design and construction of buildings and infrastructure to represent their structure and layout.  Lines are a fundamental element in graphic design, used to create contrast, texture, and visual interest in illustrations, logos, and other design elements.

Line drawings are used in medical illustrations to represent anatomy and in graphs to represent medical data and trends. Line production and assembly lines are used in the production of goods in many industries such as automotive, electronics, and food processing.

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Answer:

QR could be diagonal of a parallelogram.

(if i got it wrong sorry i tried my best)

If we assume a power-law relation T = b×aⁿ, the linear regression that needs to be analyzed is : (d) log(T) vs log(a)  .

The Linear Regression between the two quantities do we need to analyzed is log(T) vs log(a)  because when we take the logarithm of both sides of the power-law equation,

we obtain log(T) = n × log(a) + log(b), which is a linear equation in logarithmic form.

So , By performing linear regression on log(T) vs log(a), we can estimate the values of n and log(b), and then use these estimates to obtain estimates of b and n in the original power-law equation.

The given question is incomplete , the complete question is

If we assume a power-law relation T = b×aⁿ, the linear regression between which two quantities do we need to analyze?

(a) T vs a ;

(b) log(T) vs a ;

(c) T vs log(a) ;

(d) log(T) vs log(a) .

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The random variable can only take on values greater than or equal to 2.83

A random variable is a variable that can take on different values depending on the outcome of a random process.

In this problem, we are given a probability density function (pdf) for a random variable and asked to find the value of the constant "a". The pdf, f(x), represents the probability of the random variable taking on a particular value, x.

Here we have the constant "a" in the equation

=> f(x)=12/X³, x>=a,

is the minimum value that the random variable can take on.

This means that the total probability of the random variable taking on any value between "a" and infinity must equal 1.

Now by using calculus, we can find the value of "a" by solving the equation

=> ∫(a,∞) (12/X³) = 1.

This equation tells us that the total probability of the random variable taking on any value greater than "a" must equal 1.

By solving for "a", we find that it is approximately equal to 2.83.

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To create this graph, the best option for the information in two axes is "Horizontal axis: sales, in hundreds; vertical axis: dollars, in thousands " (option B)

To facilitate data analysis and observation it is recommended to have the sales on the horizontal axis (number of units sold), also known as the x-axis, and the money obtained or profit on the vertical axis or y-axis (dollars).

Considering the current data is $32,000 for 2200 lawnmowers, the best is to use thousands of dollars in the sales while using hundreds in the number of units (2200/ 100 = 22)

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To find the length of the third side of the triangular birthday card, Sarah can use the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

In other words, 4 + 9 > x, so 4 + 9 > x is the inequality that is true.

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side. This means that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This theorem is useful for determining the possible lengths of the sides of a triangle, as well as for proving that a set of three lengths cannot form a triangle.

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One cup can hold (A), you will need a total of 205.37 paper cups (B), and a total of 5 packages (C).

Let's calculate the volume of the cone:

V=1/3πhr²

V= 1.04 x 11 x 4 ^2 (diameter / 2 radius)

V= 1.04 x 11  x 16 = 184.30 cubic centimeters

Total of lemonade: 37850 cubic centimeters (10 gallons x 3785 cubic centimeters per gallon)

37850 / 184.30 = 205.37 cups

205.37 / 50 cups = 4.1 packages

However, as you need to buy complete packages, this can be rounded to 5 packages.

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The final equation in the system, and it can be used to solve for either x or y is x + 1.5y = 3

The pivot operation is used to solve linear equations. The operation starts by selecting a pivot element from a matrix. This pivot element is usually the first non-zero element in the first column of the matrix. The pivot element is then multiplied by a scalar to create a new equation. This new equation is then added to or subtracted from the other equations in the system to eliminate the coefficient of the pivot element. This process is repeated until the system of equations is solved.

For example, consider the following system of equations:

2x + 3y = 6

4x + 6y = 12

The first non-zero element in the first column is 2, so this will be our pivot element. To use the pivot operation, we multiply 2 by a scalar and add this new equation to the other equation. Let's use the scalar 4. This gives us:

8x + 12y = 24

Now we subtract this equation from the other equation to eliminate the coefficient of the pivot element:

2x + 3y = 6 - 8x - 12y = 24

This leaves us with:

-6x - 9y = 18

We now have an equation with only one variable. To solve for this variable, we can divide both sides by -6, giving us:

x + 1.5y = 3

This is the final equation in the system, and it can be used to solve for either x or y.

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Answer:

=2x-3<7

=2x=7+3

=2x<10/2

=x=5

therfore x=5

range=1,2,3,4 5

Step-by-step explanation:

please mark me as brainliest

Answer:

The function H(x) that represents how much you would pay if you use the mall coupon followed by applying the store discount of 25% would be: H(x) = (x-5)*0.25. This function takes the original cost of the jeans (x) and subtracts $5 from it (x-5) to account for the coupon, and then multiplies the result by 0.25 to account for the store discount.

The equation of the quadratic function is:

f(x) = x^2 - 11x + 6

The standard form of a quadratic function is given by:

f(x) = ax^2 + bx + c

We can find the values of a, b and c using the three points given in the question:

The x-intercepts of (-6, 0) and (0, 0) give us two equations:

f(-6) = 0 = a(-6)^2 + b(-6) + c = 36a - 6b + c

f(0) = 0 = a(0)^2 + b(0) + c = c

The point (-5, -5) gives us a third equation:

f(-5) = -5 = a(-5)^2 + b(-5) + c = 25a - 5b + c

Solving the system of three equations, we get:

a = 1, b = -11 and c = 6

Thus, the equation of the quadratic function is:

f(x) = x^2 - 11x + 6

A quadratic equation is a polynomial equation of degree 2 that can be written in the form:

ax^2 + bx + c = 0

where x is an unknown variable and a, b, c are constants. The equation can be solved to find the values of x that satisfy the equation, which are referred to as the roots or solutions of the equation. The roots can be found using methods such as factoring, the quadratic formula, or completing the square.

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The probability that he/she neither receives a text message nor an email during any weekend afternoon be 0.3000.

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Using the method for the union of two sets, we can calculate the number of students who receive either a text message or an email (or both) based on the above data:

Number of students who receive either a text message or an e-mail = Number of students who receive a text message + Number of students who receive an e-mail - Number of students who receive both

= 1364 + 857 - 470

= 1751

The proportion of students who don't receive either a text message or an email divided by the total sample of students is the probability that a student will not receive either:

P(neither T nor E) = (2500 - 1751) / 2500

= 749 / 2500

= 0.2996

Rounding to four decimal places:

P(neither T nor E) = 0.2996 ≈ 0.3000

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For given function h(x), Value of h(7) will be 59.

A function is described as a relationship between a set of inputs with one output each. A function is, to put it simply, a relationship between inputs in which each input is connected to exactly one output. Every function has a domain and a co-domain, or range.

In mathematics, various function types exist. Important types include the following:

When there is a mapping for a range for each domain between two sets, this is known as an injective function or one-to-one function.

Surjective functions or Onto functions: When more than one element is mapped from domain to range.

A polynomial function is a function made up of polynomials.

Functions that can invert other functions are known as inverse functions.

Now,

Given that  f(x) = -4x,

g(x)= x − 5 and

h(x) = −3ƒ(x − 2) + g(x − 3),

So, the function h(x) will be

h(x)=-3*(-4*(x-2))+x-3-5

h(x)=-3*-4x-3*8+x-8

h(x)=12x+x-32

h(x)=13x-32

h(7)=13*7-32

=91-32

h(7)=59

Hence,

         Value of h(7) will be 59.

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Answer:

Yes it can!

Step-by-step explanation:

In the given triangles,
∠B = ∠F
Also, ratio of sides given are
2.3/13.8 ≈ 1.67 -> (i)
And 1.9/11.4 ≈ 1.67 -> (ii)
Thus, (i) = (ii)
∴ AB/BF = BC/DF

So we can prove both triangles are similar as the two sides are proportional and the angle between the corresponding sides are equal, so we can use the SAS similarity postulate as the two sets of corresponding sides are proportional and the included angles are congruent .

Metrics and data are intimately connected in the sense that metrics rely on data to function. Metrics are used to measure the performance of an organization Data is the source of information that is used to calculate metrics.

It is the raw numbers and facts that are collected, analyzed, and turned into metrics that can be used to measure performance. Data is the foundation of metrics because metrics are just a way of interpreting and organizing the data to gain insight into performance.

Without data, metrics would not exist. It is through data that metrics are able to provide an understanding of what is working and what is not. Metrics are the tool used to interpret data and make decisions that can help guide an organization or individual to success.

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At the bicycle manufacturer, the average cost per bicycle is $77.

Now, According to the question:

"Information available from the question"

It costs $72 to make the first bicycle,

$83 to make the second,

and $77 to make the third.

To find the average cost per bicycle

We need to find the total cost of making all three bicycles and divide that by the number of bicycles.

The total cost is of the bicycles is given by -

$72 (cost of first bicycle) + $83 (cost of second bicycle) + $77 (cost of third bicycle) = $232

Now to find the average cost per bicycle, we will divide the total cost by the number of bicycles.

Hence, $232 ÷ 3 = $77

Therefore, the average cost per bicycle is $77.

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Answer:

d.70

Step-by-step explanation:

Answer:

d.70. Angles of a triangle add up to 180°.Therefore 180-(50+60)=70.Exterior angle is equal to interior opposite angle

A variety of healthful sizes are available for newborns. The average baby weighs between 5 pounds, 8 ounces (2,500 grammes) and 8 pounds, 13 ounces when they are born between 37 and 40 weeks (4,000 grams). It's usually ok for newborns who weigh more or less than the typical infant.

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Answer:

Is 0.55 greater than 2/5?

0.55 as a fraction is 11/20

11/20 is greater than 2/5

0.55 is is greater than 2/5

Answer:

0.55

Step-by-step explanation:

Because 2/5 converted to a decimal is 0.4

Step-by-step explanation:

So what you should do is open up the brackets of the top row, and to open up brackets with addition inside simply multiply the outside number with the two inside numbers. This would result in:

First Column: 5(5+7) = 5*5 + 5*7 = 25 + 35

Second Column: 5(5+8) = 5*5 + 5*8 = 25 + 40

Third Column: 7(4+5) = 7*4 + 7*5 = 28 + 35

Fourth Column: 14(2+3) = 14*2 + 14*4 = 28 + 42

Fifth Column: 15(2+3) = 15*2 + 15*3 = 30 + 45

Answer: [tex]1.32*10^5[/tex]

Answer:

Step-by-step explanation:

Kahn acadamy ahe  A and D

Answer:

Line segment DK is the median

Step-by-step explanation:

The median is the line segment that joins the vertex to the midpoint of the opposite side.

Each club can purchase 7 pizzas and the solution is viable.

Given are the system of equations as -

{C} = 12.10p + 5.25

{C} = 11.75p + 7.50

We can write the system of equations as

{C} = 12.10p + 5.25

{C} = 11.75p + 7.50

For the same amount, we will equate both the equations as -

12.10p + 5.25 = 11.75p + 7.50

12.10p - 11.75p = 7.50 - 5.25

0.35p = 2.25

p = (2.25/0.35)

p = 6.4

Therefore, each club can purchase 7 pizzas and the solution is viable.

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Answer:

20

Step-by-step explanation:

The hypotenuse is 24 + 6 of the biggest right triangle.

= 30

If it's a 45-45-90 triangle, you know you can use Pythagorean theorem to solve for missing sides.

But, the 45-45-90 triangle is a special triangle. The two legs are equal.

So, assume the two legs = x.

x^2 + x^2 = 30^2

2x^2 = 900

x^2 = 450

Square root both sides to get rid of the power of 2.

x = 21.2

A shortcut to this without pythagorean theorem is dividing the hypotenuse by rad 2. If you do 30 / (rad2) on your calculator, you'll get 21.2

Now that we know x = 21.2, we can find y for the other right triangle.

X is the hypotenuse, since it is opposite to the right angle.

x^2 = y^2 + 6^2

We know x to the power of 2 is 450 (highlighted)

450 = y^2 + 36

Subtract 36 on both sides

y^2 = 414

Square root both sides

y = 20.347

approx. 20

the value of x=-3 and y=1 by a solving equation system.

What is a System of Equations?

A system of equations in algebra is made up of two or more equations that are solved together. "A group of equations satisfied by the same set of variables are called a system of linear equations. Finding the values of the variables employed in the system of equations is the first step toward solving it. While maintaining the balance of the equations on both sides, we compute the values of the unknown variables. Finding a variable whose value makes the condition of all the given equations true is the primary goal of solving an equation system.

X+4=Y ...1

X+4Y=1 .....2

x-y=-4

x+4y=1

-5y = -5

y=1

x =-3

Hence the value of x=-3 and y=1 by a solving equation system.

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The top right line has a slop of 3/2

It goes up 3 and goes to the left 2

Answer:

B

Step-by-step explanation:

Points on graph B (2,3) (4,6)

We see the y increase by 3 and the x increase by 2, which matches the slope of 3/2

So, the answer is B

Answer: it depends how many points but if its a higher number of points like a 100 point test or so then it easily could

Step-by-step explanation:

As per the type of variable, the measurement scale is nominal scale and ratio scale.

The term type of variable is divides as Discrete variables are those that can be counted on the fingers whereas continuous variables are those that cannot be counted on the fingers and may be represented as decimals or fractions.

Here we know that the variable is categorical or numerical.

And here we need to find the variable is discrete or continuous.

a. Number of cellphones in the household is numerical, discrete, ratio scale

b. Length (in minutes) of the longest telephone call made in a month is measured  by using the scale numerical, continuous, ratio scale

c. Weather someone in home owns a Wi Fi capable cell phone is measured using categorical, nominal scale

d. Whether there is a high speed Internet connection in household is measured as categorical, nominal scale.

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