Question Id: 11204
x A
x
x
It is given that y varies directly as x. If y = 5 when x = 4 determine the constant of variation.

A -4/5
B 4
C 5/4
D 5
E 4/5
math

[tex]\frac{\sqrt{3+1} }{2\sqrt{2} }[/tex] is the exact value of sine (startfraction 7 pi over 12 endfraction), using the concept of simplification.

Make something simpler by simplifying it. In mathematics, reducing an expression, fraction, or issue to a simpler form is referred to as simplification. With calculations and solutions, the problem is made simple.

In order to achieve consistency in efforts, costs, and time, procedures must be simplified. It gets rid of variation and variety that is superfluous, harmful, and unproductive. It is termed simplification to use and interpret the function in order to make it simpler or easier to grasp.

Using the addition formula for cosine

sin (a + b) = sin a cos b + sin b cos a

and the exact values:

sin (π/3 + π/4) = sin π/3  cos π/4 + sin π/4 cos π/3

sin 7π/12 = ( [tex]\frac{\sqrt{3} }{2}[/tex] × [tex]\frac{1}{\sqrt{2} }[/tex] ) + ([tex]\frac{1}{\sqrt{2} }[/tex] + [tex]\frac{1}{2}[/tex])

sin 7π/12 = [tex]\frac{\sqrt{3} }{2\sqrt{2} }[/tex] + [tex]\frac{1}{2\sqrt{2} }[/tex]

sin 7π/12 = [tex]\frac{\sqrt{3+1} }{2\sqrt{2} }[/tex]

To know more about simplification refer to:

https://brainly.com/question/723406

#SPJ4

The point of the compass located in order to make the arcs is points X and Y.

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc. A circle contains an arc. For instance, a quarter-circle and a semicircle are both examples of arcs. A minor arc is one that is smaller than half of the circle it is a part of, or less than a semicircle, whereas a major arc is one that is more than half of its circle.

Given

The following figure was drawn using a straightedge and a compass.

The point of the compass located in order to make the arcs:

1. points X and Y

To learn more about arc, visit:

https://brainly.com/question/18741430

#SPJ1

The diagonals of rectangle are congruent.

We should know that a rectangle is a plane shape with four sides, four vertices and four angles.

Using a rectangle with the lettering ABCD

The diagonal AC divide the rectangle into two right angled triangles

<ADC = 90⁰

In the rectangle, AD=BC and AB=CD

Also, The same diagonal AC has another right angled triangle ABC with <ABC=90⁰

Similarly, diagonal BD divides the rectangle into two right angled triangles of ΔBAD and ΔBCD with a common hypothenuse of  BD

Hence AB=CD and AD= BC

Therefore, the two diagonals are congruent

Learn more about congruent lines on https://brainly.com/question/2305152

#SPJ1

Answer: He bought three adult tickets and two child tickets

Step-by-step explanation:

The answer is 28$

2+2= 4

8+8= 16

16 + 4= 20

20 + 8 =28

He bought two child tickets and three adult tickets

The quantity of times a specific data value occurs is known as its frequency. We use f to represent a data value's frequency.

The required details for frequency in given paragraph

The frequency of interval 0-9 is: 7

The frequency of interval 10-19 is: 1

The frequency of interval 20-29 is: 4

The frequency of interval 30-39 is: 2

The frequency of interval 40-49 is: 2

The frequency of interval 50-59 is: 5

From the given numbers,

The numbers in the range of 0-9 are 0,7,1,1,2,1,2. It occurred 7 times, therefore the frequency is 7.

The numbers in the range of 10-19 are 15. It occurred 1 time, therefore the frequency is 1.

The numbers in the range of 20-29 are 27, 27, 28, 20. It occurred 4 times, therefore the frequency is 4.

The numbers in the range of 30-39 are 33,30. It occurred 2 times, therefore the frequency is 2.

The numbers in the range of 40-49 are 44,44. It occurred 2 times, therefore the frequency is 2.

The numbers in the range of 50-59 are 52,50,52,57,57. It occurred 5 times, therefore the frequency is 5.

To learn more about frequency, click here

https://brainly.com/question/26146342

#SPJ1

The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

To learn more about inequatity refer to :

brainly.com/question/2456006

#SPJ1

Answer:

No

Step-by-step explanation:

If you think about this, we can figure out that 66 is 2/3 of 99.

To find out what 2/3 of 125 is, we can divide 125 by 3.

125 ÷ 3 = 41.6666667

Now multiply that by 2:

41.6666667 × 2 =83.3333334

So, no.

This is not proportional.

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know.  The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

The required solution of the given inequality is given as x > 4, and the answer for the blanks is to Divide both sides by -8 and change the inequality sign.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Given inequality,
-8x < 32
Divide both sides by -8
x > 4

The sign of the inequality change because multiplication with the negative value changes the inequality sign and the higher negative value is the least value.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ1

Answer:

100

Step-by-step explanation:

The ratio of the area is the square of the ratio of the length of the sides.

ratio of lengths of sides: 15/21 = 5/7

ratio of areas: (5/7)² = 25/49

196 in.² × 25/49 = 100 in.²

Answer:

Yes

Step-by-step explanation:

8x - 16 = 8

Add 16 to both sides of the equation

8x - 16 + 16 = 8 + 16

8x = 24

All of the following are examples of performance measures that should be considered when designing a queue.

There are several performance measures that should be considered when designing a queue, including:

a. Probability that the waiting time exceeds t minutes (e.g. t can be 10 minutes): This measure can be used to assess the likelihood that customers will have to wait longer than a certain amount of time before being served. A high probability of long waiting times may indicate that the queue is not functioning effectively or that there are not enough servers to handle the demand.

b. Probability that servers are busy more than t minutes (e.g. t can be 10 minutes): This measure can be used to assess the likelihood that servers will be occupied for longer than a certain amount of time. A high probability of busy servers may indicate that the queue is not functioning effectively or that there are not enough servers to handle the demand.

c. Average waiting time: This measure can be used to assess the average amount of time that customers spend waiting in the queue before being served. A high average waiting time may indicate that the queue is not functioning effectively or that there are not enough servers to handle the demand.

Other performance measures that may be considered when designing a queue include the average number of customers in the queue, the average time that servers spend serving customers, and the probability that customers will leave the queue without being served.

To learn more about designing a queue,

visit; brainly.com/question/24108531

#SPJ4

The length of the square, if The ratio of square length to the king's height = 1.5 / 4.5 and the king's height of 2.25 inches, is 6.75 inches.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

Given:

The ratio of square length to king's height = 1.5 / 4.5,

A king's height of 2.25 inches,

Calculate the length of the square by multiplying 2.25 on the ratio as shown below,

The length of the square = 2.25 / 1.5 / 4.5

The length of the square = 6.75 inches.

To know more about Ratios:

https://brainly.com/question/13419413

#SPJ1

The needed 3rd-degree polynomial function with real coefficients matching the specified constraints will be y=-5x³+10x²-45x+90.

A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. Polynomials are sums of k-x^n terms, where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. Polynomials are introduced. This video defines words such as degree, standard form, monomial, binomial, and trinomial.

Here,

y=-5(x-2)(x-3i)(x+3i)

y=-5(x-2)(x²+9)

y=-5(x³-2x²+9x-18)

y=-5x³+10x²-45x+90

The required 3rd-degree polynomial function with real coefficients satisfying the given conditions will be y=-5x³+10x²-45x+90.

To know more about polynomial,

brainly.com/question/11536910

#SPJ1

Step-by-step explanation:

d is the answer as far as I can tell from a little experience

7k+42 is the result of adding the first five classroom numbers in a row.

These integers that follow one another in a predictable counting pattern are referred to as consecutive integers. Due to the fact that no numbers are skipped while listing consecutive integers in a sequence, the distance between them is always fixed.

The smallest classroom number on the building's side is k, and there are two spaces between each succeeding odd number.

The first classroom is K.

The second classroom is k + 2.

The third classroom is k + 4.

The third classroom is k + 6.

The fifth classroom is k + 8.

The sixth classroom is k+10.

The seventh classroom is k+12.

The seven classrooms are added together as follows: k + (k + 2) + (k + 4) + (k + 6) + (k + 8)+(k+10)+(k+12)

When we combine terms that are similar,

we obtain,

k + k + k + k + k+ 2 + 4 + 6 + 8+10+12 = 7k+42.

Therefore, 7k+42 is the result of adding the first five classroom numbers in a row.

To know more about consecutive integers, visit:

https://brainly.com/question/1767889

#SPJ1

Answer: 66 1/24

Step-by-step explanation:

The equation of the parallel line to the given line is, [tex]y=-\frac{2}{3}x+4[/tex].

What is coordinate plane?

The intersection of two number lines creates a two-dimensional plane known as a coordinate plane. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two examples of these number lines.

Let the equation of line is given.

We have to draw a new line which does not have a common point with the given line.

Since, if the lines does not have a common point then the lines are parallel.

So, we have to find the equation of parallel line to the given line.

First to find the equation of given line.

The line passes through the points (0, 2) and (3, 0).

So,

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{0-2}{3-0} = -\frac{2}{3}[/tex]

Now consider, the point slope form of the line.

[tex]y-y_1=m(x-x_1)[/tex]

Plug [tex]m = -\frac{2}{3} , (x_1, y_1) = (0, 2)[/tex]

⇒

[tex]y-2=-\frac{2}{3}(x-0)\\ y=-\frac{2}{3}+2[/tex]

Hence, the equation of given line is [tex]y=-\frac{2}{3}+2[/tex].

Now to find the equation of parallel line.

Since, the slope of the parallel lines is same.

Suppose the parallel line passes through the point (0, 4) and (5, 0).

Consider, the point slope form

[tex]y-y_1=m(x-x_1)[/tex]

Plug [tex]m =- \frac{2}{3} , (x_1, y_1) = (0, 4)[/tex]

⇒

[tex]y-4=-\frac{2}{3}(x-0)\\ y=-\frac{2}{3}x+4[/tex]

Hence, equation of the parallel line to the given line is, [tex]y=-\frac{2}{3}x+4[/tex].

The graph of the both parallel lines is attached below.

To learn more about coordinate plane, click on the link

https://brainly.com/question/13854649

#SPJ1

Answer:

see below.

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]8^{2}[/tex] + [tex]15^{2}[/tex] = [tex]c^{2}[/tex]

64 + 225 = [tex]c^{2}[/tex]

289 = [tex]c^{2}[/tex]

[tex]\sqrt{289}[/tex] = [tex]\sqrt{c^{2} }[/tex]

17 = c

The solution to the equation f(x)=g(x) are x=-2 and x=1.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given functions are f(x)=-x+6 and g(x)=-x²-2x+8.

Now, f(x)=g(x)

-x+6=-x²-2x+8

⇒ x²+x-2=0

⇒ x²+2x-x-2=0 (Splitting middle term method)

⇒ x(x+2)-1(x+2)=0

⇒ (x+2)(x-1)=0

⇒ x+2=0 and x-1=0

⇒ x=-2 and x=1

Therefore, the solution for the obtained equation are x=-2 and x=1.

To learn more about the solution of an equation visit:

https://brainly.com/question/14506845.

#SPJ1

When single flower is selected at random, the probability of getting yellow or daisy is 73/108.

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

Total number of red roses = 8,

Number of white daisies = 10,

Number of yellow carnations = 6,

And number of yellow daisies = 12.

Total number of flowers = 36.

Number of yellow flowers,

Probability of getting yellow flower P(yellow) = 6/36 = 1/6

Total number of daisy flowers = 10 + 12 = 22

Probability of getting flower daisy P(daisy)  = (10 + 12)/36 = 22 / 36

The probability of getting flower yellow and daisy

P(yellow and daisy) = 1/6 x 22/ 36 = 11/ 108

P(yellow or daisy) = P()yellow) + P(daisy)- P(yellow and daisy)

                              = 1 /6 + 22 / 36  - 11 / 108

                              = (6 + 22)/36 - 11/108

                              = 28 / 36 - 11 / 108

                              = (84 - 11) / 108

                              = 73 / 108

The required probability of getting selected flower yellow or daisy is 73 / 108.

To know more about Probability on:

https://brainly.com/question/12478394

#SPJ1

Answer:

D.  b + c = 68

    0.08b + 0.15c = 6.00

Step-by-step explanation:

The total cost is $6.00

The total amount of copies is 68

To find the total cost, we multiply the amount of copies by the individual price. So we get

0.08b + 0.15c = 6.00

We add the amount of copies bought to get a total of 68, so we get this equation:

b + 6 = 68

Hello,

I hope you and your family are doing well!

To solve this problem, we can use the formula:

total cost = set-up fee + (cost per copy * number of copies)

In this case, we know the total cost and the set-up fee, and we want to find the number of copies. We can substitute these values into the formula and solve for the number of copies:

$32.20 = $14.95 + ($0.03/copy * number of copies)

Subtracting the set-up fee from both sides of the equation gives:

$17.25 = $0.03/copy * number of copies

Dividing both sides of the equation by the cost per copy gives:

number of copies = $17.25 / $0.03/copy = 575 copies

So Emilio was charged $32.20 to print 575 copies of the brochures.

Please rate this 5 stars and brainliest if you find it helpful!

Happy Holidays!

For the given triangle the coordinate of circumcenter is obtained as (1/3, 7/3).

The circumcenter for a triangle is defined as the center of the circle that touches all the vertices of the triangle. It is also found as the point of intersection of all of the perpendicular bisectors of the sides of triangle. All the vertices of the triangle are equidistant from the circumcenter.

Suppose the coordinate of the circumcenter be (x, y).

Now, all the vertices of the triangle should be equidistant from the circumcenter.

The equation can be written using distance formula as follows,

(x - 0)² + (y - 0)² = (x - 2)² + (y - 4)²

⇒ 4x + 8y = 20

⇒ x + 2y = 5                  (1)

And, (x - 0)² + (y - 0)² = (x - 5)² + (y - 1)²

⇒ 10x + 2y = 26

⇒ 5x + y = 13                  (2)

Multiply equation (2) by 2 nd then subtract equation (1) to get,

2(5x + y) -  (x + 2y) = 13 × 2 - 5

⇒ 9y = 21

⇒ y = 7/3

Substitute y = 7/3 in equation (1) to get,

x + 2 × 7/3 = 5

⇒ x = 5 - 14/3

⇒ x = 1/3

Hence, the coordinate of the circumcenter is given as (1/3, 7/3).

To know more about circumcenter click on,

https://brainly.com/question/16276899

#SPJ1

To prove that the two circles are similar, the answer which would be the correct second step in his proof is:

A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality

What is a Circle?

This refers to a round plane who has a centre as a fixed point that has equal distance from each ot

With this in mind, we can see that Circle O and Circle X are shown and they are said to be similar, hence, the second step to prove that they are similar is A - C = 2-pi-r/C = 2-pi-r and C/C

To learn more about Circle visit :

https://brainly.com/question/11833983

#SPJ1

Answer:

24/25

Step-by-step explanation:

sin q = 24/25

Step-by-step explanation:

k=1/2=0.5

sorry if wrong

donatur format to follow

Answer:

a

Step-by-step explanation:

A is the answer i think this is right

The equation of the line through the given point (-5, 4) and a slope, m = undefined as given in the task content is; x = -5.

It follows from the task content that the equation whose slope is undefined and passed through the point; (-5, 4) is to be determined as required.

On this note, it follows from straight line graphs that; a line whose slope is undefined is said to be a vertical line.

On this note, the equation of such line is; x = h, where h is the x-coordinate of a point through which the line passes.

Ultimately, the required equation for the line is; x = -5.

Read more on undefined slope;

https://brainly.com/question/29334263

#SPJ1