Z If z varies direct to the square of y and y varies inverse to x (x,y,x) = y (20,120,200) Then find the value of z when x=10 ?

Answers

Answer 1

When x = 10, the value of z is approximately 801.12.

If we know that z varies directly with the square of y and that y varies inversely with x, we can write the following equations:

z = ky² (Equation 1)

y = k'/x (Equation 2)

where k and k' are constants.

We are given the values of (x, y, z) as (20, 120, 200). Let's use these values to solve for the constants k and k'.

From Equation 2, when x = 20 and y = 120:

120 = k'/20

k' = 2400

Now we can substitute k' back into Equation 2:

y = 2400/x (Equation 3)

Now, we can substitute Equation 3 into Equation 1:

z = k(2400/x)²

To find the value of z when x = 10:

z = k(2400/10)²

= k(240)²

= 57600k

To find the value of k, we can substitute the given values of (x, y, z) into Equation 1:

200 = k(120²)

200 = 14400k

k = 200/14400

k ≈ 0.0139

Now we can substitute k back into the expression for z:

z = 57600k

z = 57600 × 0.0139

z ≈ 801.12

Therefore, when x = 10, the value of z is approximately 801.12.

Learn more about substitute equation here:

https://brainly.com/question/10852714

#SPJ11


Related Questions

a golfer claims that his average golf score at the course he plays regularly is less than 90. the correct hypothesis statement for this golfer to prove his claim would be

Answers

The correct hypothesis statement for this golfer to prove his claim would be:

\(H_{0} :u\geq 90\)

\(H_{1} :u < 90\)

The golfer claims that his average score is less than 90.

Therefore, the null hypothesis is the opposite of what he claims

Null hypothesis \(H_{0}\) is average score \(u\) is greater than or equal to 90:

\(u \geq 90\)

\(H_{0} :u\geq 90\)

Alternative hypothesis \(H_{1}\) is then the opposite of null hypothesis.

Hence alternate hypothesis \(H_{1}\) is u< 90

\(H_{1} :u < 90\)

To learn more on hypothesis statements; click here:

https://brainly.com/question/23709550

#SPJ4

Blake’s Bowling Alley offers a special. Each game costs $2.50 and the shoe rental $2.00. Which equation below matches this situation

Answers

Answer:

2x + 2.50

Step-by-step explanation:

A game costs 2.50 to start, which is a constant, The 2x is how many players will be playing.

Solve the simultaneous equation.

Solve the simultaneous equation.

Answers

The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

To learn more about the system of equations from the given link

https://brainly.com/question/25976025

#SPJ1

Complete the explanation of how a model can help you solve surface area and volume problems. a____ shows faces and helps you find; a ____ helps you choose a base and height when finding_____.

Answers

a model can help you solve surface area and volume problems. a diagram shows faces and helps you find; a diagram helps you choose a base and height when finding Surface area.

A model can help you solve surface area and volume problems by providing visual representations and aiding in the determination of relevant measurements. Specifically, a "diagram" shows faces and helps you find the different sides or surfaces involved in the problem. It visually presents the shape and its various components, allowing you to identify and analyze the relevant areas or volumes.

A model can be in the form of a physical object or a digital representation. It shows faces and helps you find the different surfaces or sides of the object that contribute to its surface area. By visually observing the model, you can count the number of faces and determine their shapes and sizes, enabling you to calculate the total surface area accurately.

Furthermore, a model helps you choose a base and height when finding the volume of a three-dimensional object. It allows you to visualize the dimensions that define the object's shape and select appropriate measurements for the base and height. By manipulating the model or observing its features, you can determine the appropriate dimensions needed to calculate the volume correctly.

In summary, a model serves as a visual aid, providing a tangible representation of the object or shape. It shows faces, helping you identify the surfaces for surface area calculations, and assists in choosing a base and height when finding the volume of three-dimensional objects.

Learn more about surface area here

https://brainly.com/question/29298005

#SPJ4

PLS HELP ME I WILL MARK THE BRAINLIEST

PLS HELP ME I WILL MARK THE BRAINLIEST

Answers

Answer:

∠ ABC = 51°

Step-by-step explanation:

the inscribed angle ABC is half the measure of its intercepted arc AC , so

5x + 11 = \(\frac{1}{2}\) (16x - 26) ← distribute parenthesis

5x + 11 = 8x - 13 ( subtract 8x from both sides )

- 3x + 11 = - 13 ( subtract 11 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Then

∠ ABC = 5x + 11 = 5(8) + 11 = 40 + 11 = 51°

Find the unit rate for the cost of each energy drink if 5 energy drinks cost $15

$3 per energy drink
$5 per energy drink
$5.50 per energy drink
$75 per energy drink

Answers

Answer: 3 per energy drink


Explanation: 15/3 is 5 so it would be 5 dollars have a nice day (:

After a robot stands up it is equally likely to step forward with its left foot or its right foot. which foot will it use for its first step?
!!!

Answers

There is an equal chance that the robot will use its left foot or its right foot for its first step.

We have,

When the robot stands up, there is no inherent bias or preference for it to use one foot over the other for its first step.

The robot is in a state of equilibrium, and there are no external factors influencing the choice of foot.

Since there is no inherent bias,

We can assume that the probability of the robot using its left foot for the first step is equal to the probability of it using its right foot.

Each foot has an equal chance of being selected for the first step.

In other words, the outcome of the robot's first step is random and unpredictable, and there is a 50% chance that it will use its left foot and a 50% chance that it will use its right foot.

Thus,

Each foot has an equal chance of being selected for the first step.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ1

In ΔWXY, x = 4.7 cm, y = 7.9 cm and ∠W=162°. Find the area of ΔWXY, to the nearest 10th of a square centimeter

Answers

The area of the triangle ∆WXY is derived to be 5.7 to the nearest tenth.

How to evaluate for the area of the triangle

When two side length of a triangle and the angle between them is given, the area is half the multiplication of the two sides and the sine of the angle.

Area of the triangle = 1/2 × 4.7 × sin162

Area of the triangle = 11.4738/2

Area of the triangle = 5.7369.

Therefore, the area of the triangle ∆WXY is derived to be 5.7 to the nearest tenth.

Read more about area here:https://brainly.com/question/29123926

#SPJ1

Which inequality is true?
5/6 < - 1/3
2 1/3 > 2 1/6
2 < - 2 1/2
1 1/4 > 1 1/3

Answers

Answer:

2 1/3>2 1/6 is the answers for the question

Step-by-step explanation:

please me as brainlest

A number is written with the following factorization: 2^2 × 3 × 5^4 × 11^2. Is this factorization a prime factorization? Explain why or why not. If it is not correct, give the correct prime factorization of the number.

Answers

It is a prime factorization because each base (2,3,5, and 11) is a prime number.

A prime number is one where the only factors of it are 1 and itself.

factors of 2 = 1 and 2factors of 3 = 1 and 3factors of 5 = 1 and 5factors of 11 = 1 and 11

Instead of saying something like 11^2, we could write 11*11. Similarly, 5^4 could be written as 5*5*5*5. Though it's a good idea to use exponents so you make the prime factorization more compact and save time.

The '3' without an exponent is the same as 3^1. You'll often see that exponent of 1 left out. Again this is to save time.

A snail travels 5 meters in 20 minutes. He travels the same amount of time per meter. How long will it take him to travel 11 meters? First find how long it would take the snail to travel 1 meter?

Answers

Answer:

411

Step-by-step explanation:

20:5=4 (minutes for 1 meter)

4*11=44 minutes for 11 meters

or

20 : 5 = x : 11

x = 20*11:5

x = 44

or

20:5* 11=44

You have a bouquet of flowers. All but two are roses, all but two are daisies, and all but two are tulips. How many flowers do you have

Answers

Answer: THE answer is 3

Step-by-step explanation: ^^^^

Please Help!!! 50 D).4x + 8y ≥ 50

Answers

Answer:

does anyone else miss their best friend ?? :C

Step-by-step explanation:

ZACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK COMEEEEEEEE BACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answer:

U okay?

Step-by-step explanation:

Remy orders 5 pizzas. If each person gets 1/4 of a pizza, how many people can Remy feed?

Answers

Answer:5

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Each pizza Remy can feed 4 people.

Remy has 5 pizzas.

4x5=20

how to determine if a binomial is a factor of a polynomial

Answers

A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

Learn more about polynomial division method here:

https://brainly.com/question/13763165

#SPJ11


Which statement is true?

Which statement is true?

Answers

Answer: A

Step-by-step explanation:

Square root of 35 is 5.9161

Please I need help finding the answer to this question
(3²+5)*4

Answers

Answer:

56

Step-by-step explanation:

Use Order of Operations (PEMDAS- look it up if you don't know it)

(3 squared=9 because 3*3=9)

(9+5)*4

14*4

56

If a rectangle's width is at (5,0) and (-5,0) and the length is triple the width, what is the perimeter of the rectangle

Answers

If a rectangle's width is at (5,0) and (-5,0) and the length is triple the width, what is the perimeter of the rectangle

step 1

Find the width of rectangle

subtract the x-coordinates to calculate the width

W=5-(-5)

W=10 units

step 2

Find the length

Remember that

the length is triple the width

so

L=3W

L=3*(10)

L=30 units

step 3

Find the perimeter

the perimeter of rectangle is equal to

P=2(L+W)

substitute the values

P=2(30+10)

P=2(40)

P=80 units

the answer is

perimeter of rectangle is 80 units

Please help me with this! I do need it soon though, before tomorrow. I will give brainliest! also, is the graph i made correct? please let me know if i need to do it different!

Please help me with this! I do need it soon though, before tomorrow. I will give brainliest! also, is

Answers

I like to use Desmos Graphing Calculator. The attachment is what I get when I plug the inequalities in.

Please help me with this! I do need it soon though, before tomorrow. I will give brainliest! also, is

The part shaded mix blue and red is the solution

Please help me with this! I do need it soon though, before tomorrow. I will give brainliest! also, is

50% of the fruits collected were ripe. If 100 fruits were ripe, find the total number of fruits collected.

Answers

Answer:

200 fruits

Step-by-step explanation:

The questions states that 50% of the fruits were ripe, and that 100 fruits were ripe

Therefore: 100 = 50%

Which makes the total amount of fruits 200

Don't believe me? Reverse work:

200 / 2 = 100

200 = 100%, 100 = 50%

Select the correct answer.
If you roll a fair die twice, what is the probability of getting an even number at least once?

A.
0.75

B.
0.36

C.
0.5

D.
0.25

Answers

D because the original probability is 0.50 however rolling the die again would split the chances to 0.25

Answer:

A

Step-by-step explanation:

Got this right on edmentum

What is negation example?

Answers

Let's say we have an expression P^A then the negation of  P^A  will be not(  P^A  ). This is an example of negation.

As the name suggests negation means the negative of a term or expression and it comes under the branch of mathematical logical reasoning.

When not word is added in front of an expression it becomes the opposite , this is how we negate something. A statement is only admissible if it is always true or always false.

It is sometimes required in mathematics to find the inverse of a particular mathematical statement, this is when negation is used. Negation thus, refers to the process of determining the inverse of a given assertion.

To learn more about negation

brainly.com/question/22787240

#SPJ4

Please answer as soon as possible!!

Please answer as soon as possible!!

Answers

Answer:

2.29

Step-by-step explanation:

First determine the square root of 17.8

√17.8 = 4.22

second, determine the value of \(1.3^{2.5}\) = 1.93

subtract 1.93 from 4.22

4.22 - 1.93 = 2.29

Keenan buys an embroidery machine for $1,400. He uses it to embroider T-shirts. His total profit in dollars from selling the T-shirts is represented with the function f(x) = 12x − 1,400. When the machine breaks, he pays $135 to have it fixed. How does that cost affect a graph of Keenan’s profit function?

Answers

Answer:

the graph shift down 135 units

Step-by-step explanation:

when there is no fixing cost:

f(x)=12x-1400

when there is fixing cost (0ne time): 12x-(1400+135)

the graph shift down 135 units

hope this helps!

Work out the volume of each of this prisms:

Work out the volume of each of this prisms:

Answers

The volumes of right prisms are listed below:

Case A: 150 cm³

Case B: 525 m³

Case C: 429 m³

How to determine the volume of a right prism

The volume of right prism (V), in cubic length units, is always equal to the product of the base area (A), in square length units, and height (h), in length units:

V = A · h

There are three right prisms, whose areas are combinations of right triangles and rectangles. The area formulas are shown below:

Rectangle

A = w · l

Right triangle

A = 0.5 · w · l

Where:

w - Width, in length units.l - Length, in length units.

The complete procedure is listed below:

Determine the base area.Calculate the volume of prism.

Case A

A = 0.5 · (4 cm) · (5 cm) + (3 cm) · (5 cm)

A = 25 cm²

V = (25 cm²) · (6 cm)

V = 150 cm³

Case B

A = (5 m) · (8 m) + (5 m) · (7 m)

A = 75 m²

V = (75 m²) · (7 m)

V = 525 m³

Case C

A = (8 m) · (4 m) + (3 m) · (9 m) + 0.5 · (5 m) · (5 m)

A = 71.5 m²

V = (71.5 m²) · (6 m)

V = 429 m³

To learn more on volumes of right prisms: https://brainly.com/question/17619973

#SPJ1

DENTISTS The equation 2y=4692x+324,836 can be used to estimate the number of active dentists in the United States from 2001 to 2015 where x is the number of years since 2001 and y in the number of active dentists. Rewrite the equation in slope-intercept form and interpret the parameters of the equation in the context of the situation.

Answers

Slope-intercept form of the equation 2y=4692x+324,836 for x number of years since 2001 and number of active dentist is represented by y is given by y = 2346x + 162418.Parmeters are as follow:

Slope of the equation is given by 2346.y-intercept is given by 162418 which represent initial number of dentist.

As given in the question,

Given equation is :

2y=4692x+324,836      __(1)

Slope-intercept form of the equation is given by :

Divide equation (1) by 2 we get,

y = 2346x + 162,418

x = number of years since 2001

y = number of active dentist

Standard form of slope intercept is

y = mx + c     __(2)

Compare (1) and (2) to get the parameters ,

Slope m = 2346

y- intercept = 162,418

2346 multiply to x years gives number of dentist increase in x-years.

Therefore, Slope-intercept form of the equation 2y=4692x+324,836 for x number of years since 2001 and number of active dentist is represented by y is given by y = 2346x + 162418.Parmeters are as follow:

Slope of the equation is given by 2346.y-intercept is given by 162418 which represent initial number of dentist.

Learn more about Slope-intercept form here

brainly.com/question/9682526

#SPJ1

How do I find the triangular formula of a pentagon

Answers

It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

We have,

A triangular formula is used to calculate the area of a triangle, which is a polygon with three sides.

The formula for the area of a triangle is given by:

Area = 1/2 x base x height

where the base and height are two of the sides of the triangle.

If you want to calculate the area of a pentagon, you can use the formula for the area of a regular pentagon, which is given by:

Area = (5/4) x s² x tan(π/5)

where s is the length of one of the sides of the Pentagon.


Thus,

It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

Learn more about the Pentagon here:

https://brainly.com/question/30182047

#SPJ1

Find the solution for this system of equations. 12x 15y = 34 -6x 5y = 3 x = y =

Answers

The solution for this system of equations. 12x+ 15y = 34 -6x+ 5y = 3

is (x,y) =(2/3, 8/5)

Given a system of equations,

12x + 15y = 34  ------(1)

-6x + 5y = 3 ------(2),

To solve this we use the elimination method

In the elimination method, you either add or subtract the equations to get an equation in one variable.

Equation (1) + 2 × Equation (2),

We get,

(12x+15y=34)+(-12x+10y=6)

⇒ 15y+10y=34+6

⇒ 25y=40

⇒ y=40/25

⇒ y=8/5

From equation (2),

⇒  -6x+5(y)=6

⇒  -6x+5(8/5)=6

⇒  -6x+8=6

⇒  -6x=-2

⇒ x=2/3

Hence the solution for this system of equations. 12x 15y = 34 -6x 5y = 3

is (x,y =(2/3, 8/5)

To learn more about the system of equations visit:

https://brainly.com/question/27919853

#SPJ4

eleven bands are to perform at a weekend festival. how many different ways are there to schedule their appearances?

Answers

It depends on the length of the festival, the length of each band's performance, and other factors. There could be any number of ways to schedule their appearances.

The number of ways to schedule the bands' appearances at the weekend festival depends on a variety of factors such as the length of the festival, the length of each individual band's performance, and the number and type of stages available.

For example, if the festival runs for two days and each band's performance is one hour, there could be a total of 22 hours of music, so eleven bands could each perform twice, once on each day.

Alternatively, if the festival has three stages and two of the stages are dedicated to different genres of music, then the bands could be scheduled to perform on those stages, with each stage hosting five bands each day.

Learn more about performance: https://brainly.com/question/1532968

#SPJ4

Simplify the expression. Explain each step.
6+ (5 + x)
6+ (5 + x) =
11
Expression
10
:: (5 + x) +6
Expression
:: 11+x
:: x + 30
Explanation
Add 6 and 5.
:: (6+5) + x
Property of Addition
Explanation
:: Commutative
:: Associative

Simplify the expression. Explain each step.6+ (5 + x)6+ (5 + x) =11Expression10:: (5 + x) +6Expression::

Answers

The simplification of the expression 6 + (5 + x) is 11 + x

How to simplify expressions?

6 + (5 + x)

Based on the associative property

= (6 + 5) + x

Add 6 and 5

= 11 + x

Associative property states that the rearranging of parenthesis in an expression will not change the result.

Commutative property on the other hand states that the numbers on which we operate can be interchanged or moved from their position without making any difference to the result.

Ultimately, the results of 6 + (5 + x) is 11 + x

Read more on simplification of expression:

https://brainly.com/question/723406

#SPJ1

Other Questions
Spanish speaker plss help me i don't speak Spanish A company is reviewing the options for installing a new wireless network. They have requested recommendations for utilizing WEP, WPA or WPA2. Differentiate between Wired Equivalent Privacy (WEP) and Wi-Fi Protected Access (WPA). Determine which of the following statements accurately distinguishes between the optionsWPA and WEP use RC4, while WEP uses a 24-bit Initialization Vector (IV). WPA uses a Temporal Key Integrity Protocol (TKIP), and WPA2 uses an Advanced Encryption Standard (AES) for encryption.WPA2 is the strongest encryption scheme, followed by WPA, then WEP. WPA2 is difficult to crack if protected by a strong password, or if enterprise authentication is deployed. WEP is more vulnerable to decryption due to replay attack possibilities. statistics show an increase in the prevalence of infective endocarditis among older adults. which factor places older adults at risk for developing infective endocarditis? Hi again for the millionth time, please help on this, Select each correct answer. Suppose an economy has constant prices, interest rates, andexchange rates. The economy has following functions:T= 0.25Y+ 500X = 400G = 1,5001 = 500C = 0.8Yd+ 1,000M = 0.1Y+ 1,000a. Calculate equilibrium income. Government budget surplus or deficit?b. Use the multiplier to recalculate equilibrium income when government spendingincreases by 100. Any comments on the government budget? c. To achieve equilibrium income as in b, but not by increasing government spending but byreducing autonomous taxes, by how much must net tax is reduced.d. Starting from a situation like a, if the government simultaneously increases public spending and increases taxes by the same amount of 100, what is the equilibrium income?e. Of the types of fiscal policy mentioned above, which one do you favor? Why? Question 2 (2 points)y=5575.(0.65)ta. What is the initial value?b. What is the decay factor?Blank 1:Blank 2: When an ice cream shop was founded, it made 22 different flavors of ice cream. If you had a choice of having a single flavor of ice cream in a cone, a cup, or a sundae, how many different desserts could you have A school hos 2 computer labs, Each lab has 30 computers. A total of 6 computers in the school are not working. Which expression can you use to find the number of working computers in the school? 30-(26) 2 (30-6) (30-2)*6 (230)-6 Which best exemplifies a client's use of the defense mechanism of reaction formation? 1. A client feels rage at being raped at a young age, which later is expressed by joining law enforcement. 2. A client is unhappy about being a father, although others know him to dote on his son. 3. A client is drinking 6 to 8 beers a day while still going to AA as a group leader. 4. A client is angry that the call bell is not answered and decides to call the nurse when it is unnecessary. Which journal would the company use to record the correction of the error in inventory? Find the value of the length x rounded to 1 DP. What is the preamble of the constitution You are a policymaker in the country of Abbigonia. Your country currently exports a large amount of golden noodles to the country of Tobistan. Tobistinian golden noodle producers have lobbied their government to impose a tariff on golden noodles imported from Abbigonia. Both Abbigonia and Tobistan are "large countries."1. Describe in words and using graphs the impact of the tariff on the price and welfare of golden noodles in both countries. Your answer should decompose the impact on government, producers, and consumers in the importing country and include the "terms of trade" effect.2. Is it possible for Tobistan to gain from the imposition of the tariff?3. Suggest one possible policy alternative that may a) reduce your country's exports of golden noodles to Tobistan and b) reduce the welfare loss as compared to the proposed tariff. A student has these scores on their assignments. The teacher is considering dropping a lowest score. What effect does eliminating the lowest value, 0, from the data set have on the mean and median? 0, 40, 60, 70, 75, 80, 85, 95, 95, 100 true or false? treys most recent project that centered on physician education and training would be considered a common job duty for a health educator in a healthcare facility. The words bustle, fuss, stir, and whirl all refer to busy activity. Which word has the most negative connotation?A. stirB. whirlC. bustleD. fuss Who is the most famous baseball player? Help me, please! No links btw ;u; what is the density (g/l) of xenon gas at stp? The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.v (t) = 29,900(0.92)Find the initial value of the car and the value after 10 years.Round your answers to the nearest dollar as necessary.Please help!!!