if y varies inversely as the square of x
if y equals to 8 when x equals to 4 find x when y is 25/36 ​

Answers

Answer 1

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(\stackrel{\begin{array}{llll} \textit{"y" varies}\\ inversely\\ as~ x^2 \end{array}}{y=\cfrac{k}{x^2}}\qquad \textit{we also know that} \begin{cases} y=8\\ x=4 \end{cases}\implies 8=\cfrac{k}{(4)^2}\)

\(8=\cfrac{k}{16}\implies 128=k~\hfill \boxed{y=\cfrac{128}{x^2}} \\\\\\ when~y=\frac{25}{36}\textit{ what is "x"?}\qquad \cfrac{25}{36}=\cfrac{128}{x^2}\implies 25x^2=4608 \\\\\\ x^2=\cfrac{4608}{25}\implies x = \sqrt{\cfrac{4608}{25}}\implies x=\cfrac{\sqrt{4608}}{\sqrt{25}}\implies x=\cfrac{48\sqrt{2}}{5}\)


Related Questions

Give me 3 reasons why the penguins are the best animal will give brain-list

Answers

Answer:

‏‏‎ ‎

Step-by-step explanation:

#1 - they look cool

#2 - they can swim

#3 - they eat fish

Give me 3 reasons why the penguins are the best animal will give brain-list

Is this function periodic or non-periodic?

Is this function periodic or non-periodic?

Answers

we can conclude that yes, the function is periodic with period T =  π/2

Is this function periodic or non-periodic?

A function is periodic if for any input X, there exists a value T (where T is the period) such that:

f(x) = f(x + T).

In this particular case, we are told that the period should be π/2, so let's check that.

We can see that:

f(π/4) = 1.2

If we add the period to the argument, we get:

π/4 + π/2 = π/4 + 2π/4 = 3π/4

Now, on the table we can see that:

f(π/4 +π/2 ) = f(3π/4) = 1.2

So at the moment, it seems to be periodic.

Let's try another point.

f(3π/2) = 0.6

If we add the period:

3π/2 + π/2 = 2π

And in the table we can see that:

f( 2π) = 0.6

So we can conclude that yes, the function is periodic with period T =  π/2

If you want to learn more about periodic functions:

https://brainly.com/question/6561461

#SPJ1

pre-calc questions (trignometry)

pre-calc questions (trignometry)
pre-calc questions (trignometry)

Answers

Answer:  (1a) 250°  (1b) 70°    (2) see below

Step-by-step explanation:

1a) -110 + 360 (one rotation clockwise) = 250°

1b) 430 - 360 (one rotation counterclockwise) = 70°

2) sec Ф = -8/5    in Quadrant III

Quadrant III identifies that both sin (y) and cos (x) are negative.

sec = r/x --> r = 8, x = -5, and y = -√39

(Use Pythagorean Theorem x² + y² = r² to solve for y)

\(\sin\theta=\dfrac{y}{r}=\dfrac{-\sqrt{39}}{8}\)              \(\csc\theta=\dfrac{r}{y}=\dfrac{-8}{\sqrt{39}}\)  rationalized = \(\dfrac{-8\sqrt{39}}{39}\)

\(\cos\theta=\dfrac{x}{r}=\dfrac{-5}{8}\)                  \(\sec\theta=\dfrac{r}{x}=\dfrac{-8}{5}\)  (GIVEN)

\(\tan\theta=\dfrac{y}{x}=\dfrac{\sqrt{39}}{5}\)              \(\cot\theta=\dfrac{x}{y}=\dfrac{-5}{-\sqrt{39}}\)  rationalized = \(=\dfrac{5\sqrt{39}}{39}\)

NOTE THAT YOU ARE ALLOWED A MAXIMUM OF 3 QUESTIONS PER POST.  Please repost #3 and #4 as a different question and I will answer them.

.When developing groups, there will almost always be disagreements and conflicts as members work to develop a common understanding. This stage of group development is called○ forming.○ norming.○ performing.○ storming.○ adjourning.

Answers

The stage of group development that is characterized by disagreements and conflicts is called storming. During this stage, group members may have different ideas and opinions about how to approach tasks and goals, and they may struggle to find a common understanding.

Conflict can arise as individuals compete for leadership roles or try to assert their ideas over others. However, this stage is important for groups to progress towards their goals as it allows for open communication and the airing of different perspectives. Eventually, through negotiation and compromise, groups move on to the norming stage where a common understanding is established and roles are defined. From there, groups move on to performing, where they are able to work together effectively towards their goals.

Finally, the adjourning stage is where the group disbands after reaching their goals or completing their tasks.

To know more about Development  visit :

https://brainly.com/question/14869932

#SPJ11

help asap!!

9-3 / 1/3 +6

Answers

Answer:

24

Step-by-step explanation:

9-3=6 and 6 divided by 1/3 is 18. then u  add 18 plus 6 and that'll give u 24.

8
9
10
Or 11???how can I do this

8910Or 11???how can I do this

Answers

The answer is B) 9. .

Answer:

your answer is A - 9

Step-by-step explanation:

This is your answer, let me explain why

If he borrowed 105 and he is paying back 12 per week, then to figure out how many weeks he will need to give 12 dollars until he has paid his brother back the 105 he borrowed from him, so we will first have to divide 105 by 12,

105 ÷ 12 = 8.75

but when this is done you will get 8.75, which is not an option below so we have to round to the nearest hundred, thus giving us the answer, 9.

Hope this Helped!

Math hw 2


Probability Distributions




pls help me with my homework!!


thanks,

Math hw 2Probability Distributionspls help me with my homework!!thanks,

Answers

In the given question, to approach this, we should have a little understanding of what is a random variable. The random variable here is the distance travelled by the tee shots in a golf.

What is a Random Variable?

A random variable is a numerical description of the outcome of a statistical experiment. A random variable that may assume only a finite number or an infinite sequence of values is said to be discrete; one that may assume any value in some interval on the real number line is said to be continuous.

We are given two scenarios in which we are to identify the random variable here.

The number of hits for the players of a baseball teamThe distance travelled by the tee shots in a golf

In the above scenarios, the random variable here is the distance travelled by the tee shots in a golf. The reason is that we can never give an exact value the distance and would lead to an assumption of a finite number of value or an infinite sequence of values to determine this.

Learn more on random variable here;

https://brainly.com/question/15246027

#SPJ1

Determine if the following lengths could represent a triangle. If they can, determine if the triangle, is acute, obtuse, or right.

A. 5, 8, 13
B. 7, 12, 26
C. 11, 15, 20

Answers

9514 1404 393

Answer:

  A. no

  B. no

  C. obtuse

Step-by-step explanation:

For side lengths to form a triangle, the sum of the shorter two must exceed the longest.

A. 5 + 8 = 13 . . . . a line segment, not a triangle

B. 7 + 12 < 26 . . . . no closure, not a triangle

C. 11 + 15 > 20 . . . . a triangle. A picture shows it to be obtuse

  You can also compare 11² +15² vs 20² ⇒ 346 vs 400. The long side is too long for a right triangle, so the triangle must be obtuse. (The Pythagorean theorem tells you a right triangle with those legs would have a long side of √346 = 18.6.)

Determine if the following lengths could represent a triangle. If they can, determine if the triangle,

Find the values of X and Y

Find the values of X and Y

Answers

In a triangle, The value of x is, 40°

And, The value of y is, 50°

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The triangle is show in figure.

We know that;

In a triangle, the pair of two opposite sides are equal then there corresponding angles are also equal.

Now, By figure we can formulate;

⇒ x + x + 100 = 180

Solve for x;

⇒ 2x + 100 = 180

⇒ 2x = 180 - 100

⇒ 2x = 80

⇒ x = 40

Thus, The value of x = 40°

And, We get;

⇒ x° + y° + 90° = 180°

⇒ 40 + y + 90 = 180

⇒ y + 130 = 180

⇒ y = 180 - 130

⇒ y = 50°

Thus, The value of y = 50°

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

You sell tacos that cost $2 to produce. You sell them for $4. Your markup on cost, expressed as a percentage, is:
A. 100%
B. $2
C. 50%
D. $4
E. None of these

Answers

The markup percentage for your tacos is 100%. (option a)

To calculate the markup percentage, we need to compare the profit you make on each taco to the cost of producing that taco. In this case, the cost to produce one taco is $2, and you sell it for $4. The markup can be calculated using the following formula:

Markup Percentage = ((Selling Price - Cost Price) / Cost Price) * 100

Let's plug in the numbers and calculate the markup percentage:

Markup Percentage = (($4 - $2) / $2) * 100

Markup Percentage = ($2 / $2) * 100

Markup Percentage = 1 * 100

Markup Percentage = 100%

Hence the correct option is (a).

To know more about percentage here

https://brainly.com/question/13729841

#SPJ4

NEED HELP FAST PLEASE


13 pigs are entered in the best pig competition at the country fair the judges will award very special pigs with blue, red and white ribbons in how many different ways can these ribbons be awarded to 3 of 13 pigs a.1716 b.39 c.286 d.2197

Answers

Answer:

1716

Step-by-step explanation:

These ribbons be awarded to 3 of 13 pigs in 1716

We have given that,

13 pigs are entered in the best pig competition at the country fair the judges will award very special pigs with blue, red, and white ribbons

We have to determine how many different ways can these ribbons be awarded to 3 of 13 pigs.

What is the permutation?

A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

So the judges are going to pick 3 pigs from the 13 to give a ribbon. Since the ribbons are different, the order does matter.

So this is a permutation. This can be set up like this:

Therefore we get,

13*12*11=1716

To learn more about the permutation visit:

https://brainly.com/question/4281902

#SPJ2

What’s m= 10- -2-11 -19

Answers

Answer:

-18

Step-by-step explanation:

10-(-2)=12

12-11=1

1-19=-18

3. Which of the following has a value of 13? (5.02.2)
A. 5 + 4 x 3 - 1
B. (5 + 4) x 3 - 1
C. 5 + 4 (3 - 1)
D. (5 + 4) X (3 - 1)

Answers

C - Parenthesis first (3-1)=2, then distribute the 4. 4x2=8, next add 5, 8+5=13.

a rectangle has a perimeter of 16 centimeters. what is the greatest area the rectangle can have

Answers

Step-by-step explanation:

Let L and W be the length and width of the rectangle, respectively.

We know that the perimeter, P, of a rectangle is given by:

P = 2L + 2W

In this case, P = 16 cm, so we have:

16 = 2L + 2W

Simplifying, we get:

8 = L + W

To find the greatest area of the rectangle, we need to maximize the product of L and W, which is the formula for the area, A:

A = L * W

We can solve for one variable in terms of the other using the equation we found earlier:

L = 8 - W

Substituting this into the formula for the area, we get:

A = (8 - W) * W

Expanding and simplifying, we get:

A = 8W - W^2

To find the maximum value of A, we can use calculus or complete the square. Completing the square, we get:

A = -(W - 4)^2 + 16

Since the square of a real number is always nonnegative, the maximum value of A occurs when (W - 4)^2 = 0, which is when W = 4.

Substituting this value back into the equation for the perimeter, we get:

8 = L + 4

L = 4

Therefore, the rectangle with a perimeter of 16 cm and the greatest area is a square with sides of length 4 cm, and its area is:

A = L * W = 4 * 4 = 16 square centimeters.

HELP MY GRADE 9 PLS AND THANK YOU

HELP MY GRADE 9 PLS AND THANK YOU

Answers

Answer:

64x²y²

Step-by-step explanation:

Use the great smart calculator

hope it helpz uuuuuuu

Collect data from all your family members and write down their heights (in cm).

96, 132, 159, 164, 176

Represent the data in a frequency table.

Find the following. i. Mode 11. Mean iii. Median iv. Range​

please help me

Answers

Answer:

mode : the value that appears most frequently in a data set

mean : te everage of all number

median : the middle number in a sorted, ascending or descending

range : the difference between the largest and smallest numbers.

ANSWER ;

mode : none

mean : 145.4 ( you need to add all the number and divide by how many your family member)

median : 159

range : 80 ( the largest - the smallest)

Each minute, a faucet allows 4/7 gallons of water to enter a large tub, and the drain allows 5/7 gallons to leave the tub.
What is the change in the amount of liquid in the tub after 1/4 minute?
Enter your answer as a fraction in lowest terms in the box.
gal.

Answers

Answer: -1/28 gallon

Step-by-step explanation:

divide both numbers by 4 since its 1/4 a minute (-5/7 ÷ 4 and 4/7 ÷ 4) then add them, (-5/28 + 4/28= -1/28)

Answer: -1/28 gallon

Step-by-step explanation:

Which statement indicates a positive association?

A. One variable increases as the other decreases.

B. The variables both increase together.

C. The variables randomly change.

D. As one variable increases, the other variable stays the same.

Answers

The statement that indicates a positive association is: B. The variables both increase together.

Which indicates a positive association?

A positive association between two variables means that as one variable increases, the other variable also tends to increase.

Therefore, the statement that indicates a positive association is:

B. The variables both increase together.

This means that when one variable increases, the other variable tends to increase as well. This suggests a positive relationship or correlation between the two variables.

Read more about correlation at

https://brainly.com/question/16355498

#SPJ1

jerome is buying an art kit that usually costs $32.00. however, it on sale for $27.20. what percentage is the discount

85%

15%

17%

27%

13%

Answers

Answer:

A. 85%

Step-by-step explanation:

27.20/32=0.85

32*0.85=27.2

Hope this helps!

A perfect square is the product of any positive whole number used as a factor exactly two times. [Example: 49 is a perfect square because 7 × 7 = 49] The positive whole number N, when multiplied by 150, is a perfect square. What is the least possible positive whole number value for the number N?

Answers

The least possible answer 150 for n

tank contains 80 kg of salt and 2000 l of water. a solution of a concentration 0.02 kg of salt per liter enters a tank at the rate 6 l/min. the solution is mixed and drains from the tank at the same rate. (a) what is the concentration of our solution in the tank initially? concentration

Answers

the initial concentration of the solution in the tank is 0.04 kg/L.

Tank contains 80 kg of salt and 2000 L of water. A solution of a concentration 0.02 kg of salt per liter enters a tank at the rate 6 L/min. The solution is mixed and drains from the tank at the same rate.

What is the concentration of our solution in the tank initially?

Initially, the tank contains 80 kg of salt and 2000 L of water. To determine the initial concentration of the solution in the tank, we need to use the following formula:

concentration = mass of solute / volume of solution

In this case, the mass of solute (salt) is 80 kg and the volume of solution is 2000 L. Therefore, the initial concentration of the solution in the tank is:concentration = 80 kg / 2000 L = 0.04 kg/L

for more questions on concentration

https://brainly.com/question/14469428

#SPJ11

427 is what percent of 305

Answers

Answer:

140.00%

Step-by-step explanation:

Step 1: Percentage Formula = Number1/Number2 x 100

Step 2: plugin the 427 and 305 to the percentage formula and we get 427/305 x 100 = 140%

What is  

427

out of  

305

as a percentage? = 140.00%

Hope this helped a lot

Plz give brainliest

Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 25 cm2

Answers

The rate of increase in the area of the square is 70 cm²/s when the area of the square is 25 cm².

Each side of a square is increasing at a rate of 7 cm/s. The area of the square is 25 cm².

The area of the square is given by A = a²

Where A is the area of the square and a is the length of the side of the square.

Differentiate both sides of the equation with respect to time we get:

dA/dt = 2a.da/dt

Substitute a = √A in the above equation to get:

dA/dt = 2√A.da/dt

Substitute A = 25 and da/dt = 7 in the equation dA/dt = 2√A.da/dt to get:

dA/dt = 2 x √25 x 7

dA/dt = 2 x 5 x 7

dA/dt = 70 cm²/s

Therefore, the rate of increase in the area of the square is 70 cm²/s.

Learn more about Square:

https://brainly.com/question/24487155

#SPJ11

please answer this i have a test after tmrw

please answer this i have a test after tmrw

Answers

Answer:

letter A

Step-by-step explanation:

that is my answer.

I hope it help.

How does the graph of g(x) = (x + 4)3 − 5 compare to the parent function f(x) = x3

Answers

Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.

What are transforming functions?

The transformations of functions describe how to graph a function that exists moving and how its shape exists being changed. There exist basically three kinds of function transformations: translation, dilation, and reflection.

Let f(x) = x³ be the original function.

When -5 exists added to the y-value, it moves the point on the graph down 5 units. Compared to f(x), g(x) exists 5 units down.

f(x) = (x + 4)³ - 5

= [x- (- 4) ]³ - 5 (shift 4 units in the negative x direction that exists 4 units left)

Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.

To learn more about transforming functions refer to:

https://brainly.com/question/14261221

#SPJ9

Which equation represents a line that passes through the two points in the
table?
х
у
3
3
6
5
O A. y-3 = (x-3)
O B. y+3 = {(x+3)
OC. y-3--3
)
O D.y+3=E(x+3)

Answers

The answer Is: C because it’s a line that passss through the two points in the table

Line equation represents a line that passes through the two points  is

x-3=0

Given two points are (3,6) and (3,5)

Let say A=(3,6) and B=(3,5)

Formula for find out line equation using two points.

              \(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)

Slope can be denoted by m.

Slope formula \(m=\frac{y_2-y_1}{x_2-x_1}\)

                         \(m=\frac{5-6}{3-3}\)

                         m=-1/0

Line equation can be rewritten as  \(y-y_1=m (x-x_1)\)

Submit m in above equation  

             \(y-6=\frac{-1}{0} (x-3)\)

Simplify it.

             (y-6)*0=-1(x-3)    

                   x-3=0    

Therefore , line equation represents a line that passes through the two points  is x-3=0    

To know more about , Line equation.

https://brainly.com/question/8239987                

Question 10 (45 points)
Which pair of triangles is congruent by ASA?
OL
th

Question 10 (45 points)Which pair of triangles is congruent by ASA?OLth

Answers

The only thing I know is the person that answered side angle

Plsplzplzpls help now pls

Plsplzplzpls help now pls

Answers

Answer: 5,268

Solving Steps:
17-9=8
8x=3512
x=439
12x439=5268

Kristina is four-fifths as old as her sister. Kristina is 12 years old. Write a multiplication equation and solve the equation to determine her sister's age

Answers

Answer: Kristina  sister's age = 15 years

Step-by-step explanation:

LET the sister's age be rep as x

SO that Kristina = 4/5 of x

Given that Kristina's age = 12 , Then her sister's age can be found using The equation

4/5 x X= 12

4/5 X =12

X = 5 X 12 / 4

=60/4=15

Kristina's sister's age = 15 years.

help its urgent please

help its urgent please

Answers

Hi,

Answer is $0.19

Step-by-step explanation:-

We know that:-

15 dimes = $1.50

20 nickels = $1.00

8 quarters = $2.00

half dollar = $0.50

19 pennies = $0.19

Total = $5.19

Since Billy spended $5, so,

$5.19 - $5 = $0.19

Hope it helps you...

Other Questions
Can an acute triangle measure 90 degrees?. Alaska Airlines has established a goal of increasing profits by 12% next year. To ensure that the goal is reached, management monitors profits on a monthly basis. After three months, if profits have not increased by 3%, management will take corrective action to get the company on track. By doing so, management is carrying out its _____ function(s). Cuanto cobrara un empleado tras recibir su sueldo un 25% si cobra 23,750 3) Match the blood component to its function.+the defense of our bodies against diseasethe cell fragments that help your blood to clottransport oxygen throughout the body and carbon dioxide that isto be exhaled True or false: Giuseppe Verdi was viewed as an Italian nationalist composer. Two of the four main classes of organic compounds are proteins and nucleic acids. What is the relationship between proteins and nucleic acids? Mandi is baking a cake and notices the recipe calls for an 8-inch circular pan. She only has square pans. Which of her pans, 8x8, 9x9, or 10x10 inch pans will be closest in area to the one used in the recipe? What is chasing lincoln's killer about -9-10-11-06What numbers are missing in the expanded form to make this sentence equal to the standard form?Medie Mitte48979848206 = 4,000,000,000+9,000,000 - 40,0001+6 A microwave is placed on top of two boxes. One box is 4 feet 9 inches tall, the other box is 4 feet 2 inches tall, and the microwave is 2 feet 3 inches tall. Howtall are they combined?Write your answer in feet and inches. Use a number less than 12 for inches. Most cancers are assumed to arise through which of the following?a. Errors in translationb. The production of unbalanced gametes because of nondisjunction during meiosis.c. Genetic or epigenetic changes in somatic cellsd. Delayed cell division during early embryogenesise. None of the above answers is correct. I'm sorry to ask but can someone please be my online tutor I'm doing really bad In math please help thanks alot according to mandelbaum, which sport is associated with equality? group of answer choices football baseball basketball to serve both buyers and sellers, marketing fundamentally seeks to do which two things? multiple select question. identify shareholder gaps discover the needs and wants of prospective customers research the competition satisfy the needs and wants of customers identify appropriate corporate strategy A fast-food restaurant sold 8,416 hamburgers in a week. if the restaurant opens 7 days a week, about how many hamburgers were sold each day? What is the pre-image of 5? Help me and I will give Ten CuPcAkEs For YoUr TuMmY to DeVoUr( But be Fast Before I eat them ALL) What is a testable explanation used to examine or test the phenomena?HypothesisDataObservations Identify the clusters in the figure below using the center-, contiguity-, and density-based definitions, for each of the figures. Also indicate the number of clusters for each case, and give a brief indication of your reasoning. Note that darkness or the number of dots indicates density. If it helps, assume center-based means K-means, contiguity-based means single link hierarchical, and density-based means DBSCAN. FILL THE BLANK. The earliest known printed book contains the earliest surviving woodcut image. The book was made in the 9th century CE in _____________.