If y varies jointly as x and z and inversely as the square of w, and y = 3 when x = 3, Z = 10, and w = 2, then y = 4 when x = 4, z = 20, and w= 4.

True or False ?

Answers

Answer 1

Answer:

True ; it is true

Step-by-step explanation:

Answer 2

The statement that y = 4 when x = 4, z = 20, and w= 4 is not true because the constant of proportionality is not equals to 2 / 5.

What is variation?

Variation describes a simple relationship between two variables.

Therefore, y varies jointly as x and z and inversely as the square of w

y ∝ xz ∝ 1 / w²

Therefore,

y = kxz / w²

where

k = constant of proportionality

Hence,

y = 3

x = 3

z = 10

w = 2

yw² / xz = k

k = 3 × 2² / 3 × 10

k = 12 / 30

k = 6 / 15 = 2 / 5

Therefore, let's test for y = 4 when x = 4, z = 20, and w= 4.

k = 4 × 4²  / 4 × 20

k = 64 / 80

k = 16 / 20 = 4 / 5

learn more on variation here: https://brainly.com/question/17068737

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Related Questions

Select the correct statement about the function represented by the table.

Answers

Answer:

Option (A)

Step-by-step explanation:

x                y                  Ratio [tex](\frac{y_2}{y_1})[/tex]

1                7                       -

2              21                   [tex]\frac{21}{7}=3[/tex]

3              63                  [tex]\frac{63}{21}=3[/tex]

4             189                 [tex]\frac{189}{63}=3[/tex]

5             567                [tex]\frac{567}{189}=3[/tex]

Since, there is a common ratio in each successive term of y over the equal interval of x values,

Given table will represent an exponential function.

Therefore, Option (A) will be the correct option.

A ladder is 2 metres long. It leans against a wall
so the base is 86 cm from the wall.
a Write 86 cm in metres.
b How far up the wall does the ladder reach?​

Answers

Step-by-step explanation:

jsjsjskksksndkdkkdkf

This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? A y = 3x + 6 B y = 6x + 3 C y = 3x D y = 6x

Answers

Answer:

B. y = 6x + 3

Step-by-step explanation:

Given

x = {5, 6, 7, 8, 9} andy = {33, 39, 45, 51, 57}

The equation in slope- intercept form:

y = mx + b

Using two pairs of coordinates (5, 33), (6, 39), we will find the slope:

m = (39 - 33)/(6 - 5) = 6/1 = 6

Using one point (5, 33) to find the y-intercept:

33 = 6*5 + b ⇒ b = 33 - 30 ⇒ b = 3

The equation is:

y = 6x + 3

Correct option is B

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle below.

The figure shows a right triangle with legs marked 40 and 9.

Answers

Answer:

41

Step-by-step explanation:

The Pythagorean Theorem:

[tex]x^2+y^2=z^2[/tex]

where x and y are two legs, and z is the hypotenuse

Plugging this in, we have

[tex]40^2 + 9^2 = 1681\\\sqrt{1681}=41[/tex]

Answer: Hypotenuse is 41

In a survey of 2,100 people owned a certain type of car, 1365 said they would by that type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer:

65%

Step-by-step explanation:

Percentage = 1365/2100 *100

= 65%

Find the product of (x - 3)2.

Answers

Answer:

2x-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x - 3)^2 = x^2 - 3x - 3x + 9 = x^2 - 6x + 9

what is 206 divided :) 6

Answers

Answer:

if you mean 206 divided by 6 than the answer will 34.3 (rounded)

Step-by-step explanation:

I used a calculator

I really need help ​

Answers

Answer:

A and D

Step-by-step explanation:

Hope this helps!

1+1 pls, help, I will give you brainliest answer!!! just hellllllp!!!!!​

Answers

Answer:

2!!!

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

1+1=2

Step-by-step explanation:

Brainliest please!

50pesos de 100 cuánto es el porciento​

Answers

It is 50% because it is half of the total

Answer:

50%

Step-by-step explanation:

El 100% es 100  

Y X es 50  

Entonces si 50 es la mitad de 100

Seria 50%

A toy store received a shipment of 17 cases of teddy bears use compatible numbers to estimate the total number of teddy bears in the shipment. There are 12 bears per case.

Answers

Answer: The estimate is 200

Step-by-step explanation:

The exact amount would be 204 teddy bears, but you would it down to 200.

Please help ASAP! Answer the questions like 1. 2. 3 pls

Answers

Answer:

1. 3, because 30 divided by 10 is 3.

2-6, What is the recipe? By understanding the OG recipe I can multiply every number by three.

You can put the recipe in the comments and I will edit this answer. :)

~PumpkinSpice1

3 is your lucky number

For question one, You need to multiply 10 by 3. To get this you can divide 30 by 10, this gives you the number you need to multiply 10 by, in this case its 3.

The next two questions are not able to be answered because I need the amount of oil or flour to determine how much to use for 30 cupcakes.

But, if you have 1 cup of oil for 10 servings, and you want 30 servings, like before, multiply by 3.

Same for flour, it doesnt matter how much of it you need, just multiply by 3 from the amount you use for 10 servings.

If your confused on 4, 5 and 6. Just remember, 3 is the lucky number.

Manuel earned a grade of 80%. He got 16 correct. How many problems were on the test? plz solve quick

Answers

Answer:

20

Step-by-step explanation

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer:

C. y = 91

Step-by-step explanation:

you are given that x and y are proportional, this means that you can out them in a fraction

so when x is 8, y is 56, this can be written as 8/56

you are trying to find what y is when x is 3, so you can also put that in a proportion that is equal to the given fraction

so now we have 8/56 = 13/y

cross multiply 56 and 13, and 8 and x

you now have: 8y = 728

divide both sides by 8

you get y = 91

Which property would you use to simplify the following expression 4(y+5)

Answers

Distribution property. You would distribute 4 into (y + 5), giving you the answer 4y + 20.

Words
3 x (52 - 12) in word form

Answers

Answer:

three times fifty-two minus twelve.

-or-

three multiplied by fifty-two subtracted from twelve.

also if you need the answer to the problem it's 70

Answer: Three times Fifty two minus twelve

Step-by-step explanation:

9. Given p = 2i + 2j + k and q = 4i + k. Find
(a) p • q
please help ASAP for 25 points and brainliest :)​

Answers

12

Step-by-step explanation:

because i,j,k are the unit vectors of x y and z axis and the vector having same unit vector can only be multiply or divide

please please help me!!

Answers

Answer:

slope is 4

Step-by-step explanation:

slope of the line is the diference in y /diference in x between any 2 points that belong to the line

slope=(10-2) / (3-1) = 8/2 =4



Please help me please

Answers

Answer:

the ham is the least expensive, the roast beef is most expensive

Step-by-step explanation:

hope this helps.

What is the answer to 1/3x(15+6)?

Answers

Answer:

1/3×21

=7

Step-by-step explanation:

first step: solve the barket part

second step: Solve division or multiplication which first..Follow Rule:BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction.

The correct answer is 7

Please helpppp guyssssss

Answers

Answer:

the answer is B because the 30x how much they charge each hiur and the other one has a trend of 25 each hour so P charges 5 more .

I'm going to k.m.s GOODBYE WORLD

Answers

Answer:

nooooo

Step-by-step explanation:

Answer:honestly i might too at some point but if you decide not to and want to talk about what happened, let me know. i'm not a therapist and i'm not the best with words, but i do like to listen to what others have to say and learn from their lives. i hope you choose to live, but i sadly cannot stop you.

Step-by-step explanation:

What is the slope of the linear function that
models the data in the table?

Answers

Answer:1.2

Step-by-step explanation:divide 198 by 165

Answer:

slope - 1.2

--------edge

don't know what I was thinking
Leaving my child behind
Now I suffer the curse
Knowing now I am blind
With all this anger, guilt and sadness
Coming to haunt me forever
I can't wait for the cliff at the end of the river
Is this revenge I am seeking
Or seeking someone to avenge me
Stuck in my own paradox
I wanna set myself free
Maybe I should chase and find
Before they'll try to stop it
It won't be long before I'll become a puppet
It's been so long
Since I last have seen my son
Lost to this monster
To the man behind the slaughter
Since you've been gone
I've been singing this stupid song
So I could ponder
The sanity of your mother
I wish I lived in the present
With the gift of my past mistakes
But the future keeps luring in like a pack of snakes
Your sweet little eyes
Your little smile, is all I remember
Those fuzzy memories mess with my temper
Justification is killing me
But killing isn't justified
What happened to my son, I'm terrified
It lingers in my mind
And the thought keeps on getting bigger
I'm sorry my sweet baby
I wish I've been there
It's been so long
Since I last have seen my son
Lost to this monster
To the man behind the slaughter
Since you've been gone
I've been singing this stupid song
So I could ponder
The sanity of your mother

Answers

I love that song lol

It’s been in my head forever now
          (っ◔◡◔)っ ♥ Hey Honey Here!♥answer♥

bro this is so sad....

                            ♥  お力になれて、嬉しいです

If the temperature is 5°F outside and the wind is blowing 15 miles an hour, the wind chill makes it feel like the temperature is 25°F below zero. Which integer represents the wind chill temperature? * PLZ HELP

Answers

Answer:

-30

Step-by-step explanation:

5-(-25)

=30

(has nothing to do with wind speed)

PLS GIVE BRAINLIEST

Integers are those numbers that can be represented positively or negatively.

Integers are never in decimal numbers.

Integers are whole numbers with positive signs and negative signs.

Below zero degrees means the temperature is in negative value.

The integer that represents the wind chill temperature is -25°F.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Integers are those numbers that can be represented positively or negatively.

Integers are never in decimal numbers.

Integers are whole numbers with positive signs and negative signs.

Temperature outside = 5°F

The wind is blowing 15 miles an hour.

The wind chill makes it feel like the temperature is 25°F below zero.

Below zero degrees means the temperature is in negative value.

This can be represented by an integer as,

= -25°F

Thus,

The integer that represents the wind chill temperature is -25°F.

Learn more about expressions here:

https://brainly.com/question/3118662

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The graph shows how many apples Erin can pick if she maintains a constant rate. What is the linear equation for this relationship?
How many apples can she pick per hour? Drag numbers to complete the statements.
Numbers may be used once, more than once, or not at all.

Answers

Answer:

The answer is y=75x, Erin can pick 75 apples per hour

Step-by-step explanation:

Normally you'd find two points and then use rise over run, but since there's an exact point (75) over 1 in the x plane, you don't need to simplify as it's already done for you

each year lizza school purchased agenda books, which are sold in the school this year the school purchased 350 books at a cost of 1,137.50 if the school would like to make a profit of 1,500 to pay for field trips and school activities, what is the least amount they can charge for each agenda book

Answers

Old price: 1,137.50 / 350 = 3.25
New price (at least): 1,500 / 350 = 4.3 (result is rounded)

Prove or give a counterexample: Every positive integer can be expressed as the sum of three or fewer perfect squares. (A perfect square is an integer n for which there is an integer k with the property: n

Answers

Answer:

Statement is incorrect

Step-by-step explanation:

Every positive integer cannot be expressed as the sum of three or fewer perfect squares.

Supposing the number 7 only squares less than are 0, 1  and   4

Clearly 7 can not be written using three or fewer of these numbers

It is proved

By taking Cube root of 7

[tex]\sqrt[3]{7}[/tex] = 1.912931183

Now By taking  

[tex]\sqrt{7}[/tex] = 2.64575131

So both values 1.912931183 and 2.64575131 are not positive integers.

Hence the statement is incorrect.

help please- asap :}

Answers

Answer:

The digits in bold are those that were given, and other two we had to fill. The table below contains the answer.

Step-by-step explanation:

We need to complete the table.

Positive Integer: value having + sign

Negative Integer : Value having - sign

The digits in bold are those that were given, and other two we had to fill

Positive Integer       Negative Integer   Value

15                                   -15                         15

101                                 -101                        101

4                                   -4                            4

82                                 -82                         82

1121                              -1121                        1121

33                                 -33                         33

10                                  -10                          10

999                             -999                        999

47                                 -47                           47

1                                    -1                                 1

A square patio has an area of 182 square feet. How long is each side of the patio to the nearest tenth?

Answers

Answer:

13.5 feet

Step-by-step explanation:

Square root of 182 = 13.49

the answer is 13.5 feet
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