y is inversely proportional to a*3. when y=10, a=2. a is directly proportional to x. when x=4, a=20. find the formula of y in terms of x

Answers

Answer 1

The first statement should be;

y is inversely proportional to a³.

Answer:

y = 0.64/x³

Step-by-step explanation:

y is inversely proportional to a³. This is;

y ∝ 1/a³

Thus, y = k(1/a³).

Where k is the constant of proportionality.

When y = 10, a = 2.

Thus; 10 = k(1/2³)

10 = k/8

k = 80.

Thus; y = 80(1/a³) - - -(1)

Also, a is directly proportional to x. Thus;

x ∝ a

So, x = ka

when x = 4, a = 20

Thus;

4 = 20k

k = 4/20

k = 1/5

Thus;

x = a/5

a = 5x

Put 5x for a in eq 1 to get;

y = 80(1/(5x)³)

y = (80/125) × 1/x³

y = 0.64/x³


Related Questions

Find the product of (-7a²b)x(8ab)​

Answers

Answer:

-56a^3b^2

Step-by-step explanation:

−(7 × 8) a^2abb

-56a^2abb

-56a^2+1b^1+1

-56a^3b^2

I hope that helps

Gordon types 1,800 words in 25 minutes.​

Answers

Answer:

what

Step-by-step explanation:

Answer:

The answer is...

Step-by-step explanation:

ummm is it a True or False or what if it is then it would be true.

Hope this helped

:)

Factor completely. a^n+a^n+1

Answers

The answer is 2a^n+1

The requried factor of the given expression aⁿ +aⁿ⁺¹ is given as aⁿ and (1 + a)

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
Given expression,
= aⁿ +aⁿ⁺¹

In order to factor the above expression we are using the property,
x²  = x¹ (x¹)

So,
= aⁿ + a.aⁿ

Now, taking aⁿ common,

= aⁿ(1 + a)

So, aⁿ and (1 + a) are the requried factors.

Thus, the requried factor of the given expression aⁿ +aⁿ⁺¹ is given as aⁿ and (1 + a)

Learn more about Factors here:

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Write this percentage as a fraction in its simplest form.
65%

Answers

Answer:

13/20

Step-by-step explanation:

Answer:

[tex]\frac{13}{20}[/tex]

Step-by-step explanation:

Put the percentage over 100: [tex]\frac{65}{100}[/tex]

Simplify: [tex]\frac{13}{20}[/tex]

two sides of a triangle measure 20 cm and 30 cm. which of the following could be the measure of the third side.

Answers

Answer:

the answer is b 6 cm your welcome

PLZ HELP ME WITH THIS QUESTION!

Answers

Answer:

B

Step-by-step explanation:

The price of gasoline rose from $2.40 to $2.76 in one month. By what percent did the gas price rise?

Answers

Answer: 15%

Reason: I wrote it down hopes it helps!!

The percent of increase of any quantity is the ratio of the change in the value of that quantity to the initial value of the quantity. The gas price rose by 15%.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

To convert percentage into a fraction it is divided by 100.

Given that,

The initial price of gasoline = $2.40

The final price of gasoline = $2.76

Thus, change in the price =  $2.76 - $2.40

                                          = $0.36

Now, the percentage increase of price is given by,

(change in the price ÷  initial price) × 100

= (0.36 ÷ 2.40) × 100

= (3 / 20) × 100

= 15

Hence, the percent increase in the price is given by 15%.

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On a city map, the scale is If a street is 12.5 cm long on the map, what is the actual length of the street?

Answers

Answer:

see the book

Step-by-step explanation:

if not getting then answer is 13 cm

Jason has 2 times as many coins as Billy and Tilly added together, Billy has 45 coins, and Tilly has 67 coins. How many coins does Jason have?

Answers

45+67=112

112*2= 224

Jason has 224 coins

I REALLY NEED SOME HELP! BRAINLIEST!!!!!! PLEASE I CANT FAILLLL

Answers

Answer:

30

Step-by-step explanation:

Answer:

1.) B.) 30

2.) D.) 2.38

Step-by-step explanation:

1.) The answer is B because when the encyclopedia first went live there were 30 articles in it.

2.) The answer is D because the product first started out as $38⁰⁰ and each year it is decreasing half the amount of the year before it and it does this for 4 years:

Start:         Year 1:     Year 2:      Year 3:      Year 4:

$38⁰⁰ ÷ 2 = $19 ÷ 2 = $9⁵⁰ ÷ 2 = $4⁷⁵ ÷ 2 = $2³⁸ <--- I rounded up because 2.375 is closer to 2.38  

(Please tell me if they are wrong is I can fix them, other wise, have a nice day!)

y=-3 + 3x
3х + 2y = 2

Answers

3x+2(3x-3)=2
9x-6=2
9x=8
X=8/9

Answer:

x+8/9

y= -1/3

Step-by-step explanation:

3x+2(-3+3x) =2

3x-6+6x =2

9x-6=2

9x=8

x= 8/9

now plug x into the y equation

y= -3 +3(8/9)

y= -3 +8/3

y= -9/3+8/3

y= -1/3

what does mx+b stand for

Answers

Answer:

thats the equation for slope-intercept form

Step-by-step explanation:

m is the slope and b is where the line intercepts on the y axis

Answer:

linear equation

Step-by-step explanation:

happy to help ya :)

Model and solve the problem

Answers

Answer:

9/4

Step-by-step explanation:

multiply 4 and 2 and add the 1 on top which makes it 9 and the denominator stays the same which is 9/4

Can someone pls help me with this question?

Answers

Answer:

d

Step-by-step explanation:

annual means yearly so all we have to do to find monthly rate is divide the yearly rate by 12 because there are 12 months in a year. 7.5/12=.625 so his monthly interest rate is .625%

12 = 3(m - 17)

Help please. You have to use distributive property to solve.

Answers

Answer:

m = 21

Step-by-step explanation:

12 = 3(m - 17)

12 = 3m - 51 (Found using the distributive property)

63 = 3m (Found by adding 51 to both sides)

21 = m (Found by dividing both sides by 3)

Hope this helps :)

A gardener is planting two types of trees: Type A is 36 inches tall and grows at a rate of 15 inches per year. Type B is 48 inches tall and grows at a rate of 10 inches per year. a. Model the situation as a system of linear equations. Use x to represent the number of year and y to represent the height of each tree. b. Determine exactly how many years it will take for these trees to be the same height. You can check in Desmos for the answer, but you must show all algebraic work. c. What is the height of the tree at that point?​

Answers

Answer:

A.

type A: Y= 15x +36

type B: Y= 10x + 48

B.

15x +36= 10x+48

5x=12

x= 2.4

2.4 years

C.

72 inches

Is the following relation a function?


Yes or no



please hurry :)

Answers

no it is not a function

Answer:

No

Step-by-step explanation:

It can't have one y value for multiple x-values. It can be the opposite tho

4(3+1/4c-1/2a)=?
I need help please :)

Answers

Answer:

Step-by-step explanation:

Distribute the 4 to each term inside of the parentheses.

[tex]4(3+\frac{1}{4} c-\frac{1}{2} a)=12+c-2a[/tex]

Ms. Myers' class sold magazine subscriptions as a fundraiser for a field trip.
Tatiana sold 56 subscriptions and Bryson sold 48. The entire class sold 12
times the sum of the subscriptions Tatiana and Bryson sold.
Which of the following expressions can be used to find the number of
subscriptions sold by the entire class?

Answers

Answer:

12(56+48)

Step-by-step explanation:

A ray cannot be perpendicular to a line. true or false? no guesses please

Answers

Answer:

TRUE

Step-by-step explanation:

that is false a ray can be perpendicular to a line :)

I need your help plz I don’t know this

Answers

Answer:

All real numbers C

Step-by-step explanation:

Any real numbers can go in as a x value in. a exponential function.

given the graph the answer is C give

3. What the relationship between BEC and BAC?
b. What the measure of BEC?
c. What the measure of BDC ?

Answers

All of them are letters in the alphabet so that’s the relationship

plz ingore what was clicked i mark it by accident unless it the right answer then dont ingore it plzzzzzzzzzzzzz help

Answers

Answer:

option b

Step-by-step explanation:

f(2)=-2 is the answer

Show work please!...

Answers

Answer:what goes around comes around

Step-by-step explanation:

"i need points too thanks"

Scarlet maintained a constant speed through her 7-hour journey . Her speed can be modeled by 455 = Mx , where x is the time in hours , and m’s the rate at which scarlet traveled

Answers

Answer:

Speed of car (M) = 65 Unit/hour

Step-by-step explanation:

Given:

Speed equation;

455 = Mx

Time taken (x) = 7 hours

Find:

Speed of car (M)

Computation:

455 = Mx

455 = M(7)

Speed of car (M) = 65 Unit/hour

John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs to maintain a ratio of pumpkin to green beans of 5 to 2. If he wants to use a total of 126 cans, how many cans of green beans should he use?
please help me lol

Answers

Answer:

90 pumpkin and 36 green beans

Step-by-step explanation:

Because there is a total of 7 parts (5+2) and I divided 126 by 7 and then put five of the 18ns (the quotient of 126 and 7) for pumpkins (so... multiply 18 by 5) then the other to times 18 is 36. And if you add them together, they equal 126.

Answer:

9 cans

Step-by-step explanation:

126/7=18

18/2=9

so 9 is the answer

(plz mark brainlyist)

WILL GIVE BRAINLIEST IF CORRECT
pls help fast

Which statements are true about the graph of f(x)=cot(x)?
Select EACH correct answer.
a. The graph will have a vertical asymptote at x=π2.
b. The graph will have a vertical asymptote at x=π.
c. The graph will have a vertical asymptote at x=3π2.
d. The graph will have a vertical asymptote at x=2π.
e. The graph will go through the point (π4, 1).
f. The graph will go through the point (π4, 2√).
g. The graph will go through the point (π4, 2√2).
h. The graph will go through the point (π3, 23√3).
i. The graph will go through the point (π3, 3√2).
j. The graph will go through the point (π3, 12).
k. The graph will go through the point (π3, 3√).
l. The graph will go through the point (π3, 2).
m. The graph will go through the point (π3, 3√3).

Answers

Umm.... what grade are you in?!?!

Ans:

B. The graph will have a vertical asymptote at x=π.

D. The graph will have a vertical asymptote at x=2π.

E. The graph will go through the point (π/4, 1).

M. The graph will go through the point (π/3, √3/3).

Sorry, I know I'm late :'>

but to whoever else needs this, good luck~! You got this >:)

♡ Have a wonderful day

-21 = 7(3 - x)

Please help. You have to use distributive property to solve.

Answers

the answer is 6


hope this helps !!
Answer:
x= 14

Explanation
-21= 7(3-x)
-21= 21-3x
-21 -21
-42= -3x
(divide by -3)
x= 14

How much solutions does this equation have?
2x+y=3
2y=-4x+6

pls answer,, show ur work, have a great day :)) !!

Answers

Answer:

All solutions or infinite.

Step-by-step explanation:

Turn 2y = -4x + 6 into standard form - divide by 2

Y = -2x + 3

2x + y = 3

Substitute the y equation in for y.

2x - 2x + 3 = 3

The x variables cancel out.

3 = 3

Which is true so it means all solutions.

Hope this helps.

What is the number?

three tens and six ones

Answers

The answer is 36. Hopefully I was helpful

The required number is 36.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have to determine the number which is equal to three tens and six ones.

Here are three tens and six ones

Therefore, this means 3 × 10 + 6 = 30 + 6 = 36.

Hence, the required number is 36.

Learn more about Arithmetic operations here:

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