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

I keep struggling on this question can someone help me figure it out

Answers

Answer:

the last one

Step-by-step explanation:

(:

Alan's wages are £240 each week.
He wants to save some money to buy a television.
The television costs £216
Alan is going to save 10% of his wages each week.
How many weeks will it take Alan to save enough money to buy the television?

Answers

Answer:

9

Step-by-step explanation:

10% of 240= 24

216/24= 9

Carlos has 38 apples. He puts 8 apples into each bag. If he fills as many bags as possible, How many apples are left
A .6
B. 5
C 2
D 4

Answers

Answer:

the answer is A 6 apples

Step-by-step explanation: you want to divide 38 by 8 if you do that you get 4 bags with 6 apples left

Answer: Carlos can fill 4 bags and have 6 left over

Step-by-step explanation:

The first step is to divide 38 by 8.

38 ÷ 8 = 4 with 6 left over.

That means that Carlos will be able to fill 4 bags and have 6 left over.

The answer is A, 6. Hope this helps, and good luck!

Factor the following: 7k^2+3k-10

Answers

Step-by-step explanation:

7k² + 3k - 10

= 7k² + ( 10 - 7 ) k - 10

= 7k² + 10k - 7k - 10

= k( 7k + 10 ) - 1( 7k + 10)

= ( 7k + 10) ( k - 1)

Hope it will help :)

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem to determine the roots

k = 1,-10/7

7k^2+3k-10 = 7(k-1)(k+10/7) = (k-1)(7k+10)

LMNP is rotated 90° clockwise around the origin.



What are the coordinates of M'?

A. M’(3,-4)
B. M’(-3,-3)
C. M’(-4,3)
D. M’(4,-3)

Answers

Answer:

ITS IS D (4,-3)

Step-by-step explanation:

Ap ex

The coordinates of M is M’(4,-3).

What is rotation?

Rotation means the circular movement of an object around a center. It is possible to rotate different shapes by an angle around the center point.

Given:

LMNP is rotated 90° clockwise around the origin.

If we rotate the figure in LMNP  about 90 degrees then the coordinates will change into

(x, y)  to (y, -x).

As, x= 3, y=4

Hence, the coordinates of M is M’(4,-3).

Learn more about this concept here:

https://brainly.com/question/22851947

#SPJ5

The zero of a function is its

Linear equation

Family of functions

x-intercept

Constant

Answers

Answer:

X-intercept

Step-by-step explanation:

A "zero" of a function is thus an input value that produces an output of 0. An alternative name for such a point (x, 0) in this context is an x-intercept.

3/5 converted to a decimal and percent. pls show work

Answers

Answer:

0.6

Step-by-step explanation:To find this answer, you must thinkk of the slash inbetween the numerator and the denominator. So divide the 3 bye the 5. Use a calculator if needed. 3/5=0.6 Hope this helped plz mark brainliest.

1. If you wish to calculate the interest on an investment with an interest rate
of 2.85%, what number will you plug into your equation?"
0.00285
2.85
0.285
ОО
0.0285

Answers

Answer:  Choice D)  0.0285

=========================================

Explanation:

You move the decimal point two spots to the left to go from 2.85% to 0.0285

Or you can think of it like this:

2.85% = (2.85)/100 = 0.0285

since "percent" means "per 100"

Which of the following lists of Triangle side lengths would not be considered a Pythagorean Triple?

A. 5, 12, 13
B. 7, 24, 25
C. 9, 21, 23
D. 12, 35, 37​

Answers

Answer:

c

Step-by-step explanation:

14.36 subtracted by 15.12 ?

Answers

Answer:

-0.76

Step-by-step explanation:

Answer:

-0.76

Step-by-step explanation:

this is pretty simple subtraction but you just take 14.36 and subtract it by 15.12 and you know it will be a negative number because 15.12 is bigger than 14.36 and so your answer is -0.76

What are the domain and range of the function represented by the set of
ordered pairs?
{(-15,-5), (-12,-4), (3, 1), (15,5)}

Answers

D: (-15,-12,3,15)
R: (-5,-4,1,5)

Simplify the remaining expression completely. x6y4 xy2

Answers

Answer:

x5y2 or A

Step-by-step explanation:

on edg 2021

The simplification of expression [tex]\frac{x^{6}y^{4} }{xy^{2} }[/tex]  is  [tex]x^{5}y^{2}[/tex].

SimplificationWhat is simplification?

Finding a solution to a complicated calculation that may involve square roots, cube roots, plus and minus integers, division, multiplication, and other mathematical operations is typically referred to as simplification.

What is exponent?

The number of times a number has been multiplied by itself is referred to as an exponent.

Rule of exponents:

Rule of the product of powers: When multiplying like bases, add the powers together.

Rule of the quotient of powers: When splitting like bases, take the powers out.

Solution for the expression:

The expression is given as

[tex]\frac{x^{6}y^{4} }{xy^{2} }[/tex]

Applying multiplication and product rule, one power of x will be reduced and 2 power of y will be reduced.

Thus, the the simplified equation will become [tex]x^{5}y^{2}[/tex].

To know more about; how to solve expression with same base or factor?, here

https://brainly.com/question/234372

#SPJ2

Sketch a cylinder with radius 8 feet and height 3 feet, then find the volume.

Answers

Answer: 339.29ft^3

Step-by-step explanation:

The formula for a cylinder is πr^2h

In your scenario, r=8 and h=3 so put those into the equation -

π8^2(3) and just solve!

Which of the following is NOT equivalent to 78 ÷ 6? (72 + 6) ÷ 6 (72 ÷ 6) + (6 ÷ 6) (60 ÷ 6) + (18 ÷ 6) (72 ÷ 6) + 6

Answers

Answer:

(72 divided by 6) + 6

Step-by-step explanation:

78 divided by 6 is 13. The question (72 divided by 6) + 6 does not equal to 13, it equals to 14, therefore (72 divided by 6) + 6 is not equivalent.

Answer:

(72 divided by 6) + 6

Step-by-step explanation:

what is the x and y intercept of -1/2x+3?

Answers

Answer:

-1/2x+3=y

to find xint make y=0

-1/2x+3=0

-1/2×=-3

x=6

so xint=6

to find yint make x=0

-1/2(0)+3=y

y=3

yint=3

Which question below is a Statistical Question?
A. How many students have a cell phone?
B. How many months are in a year?
C. How tall are the students in your class?
D. What is for lunch today?

Answers

Answer:

C

Step-by-step explanation:

I chose C because it more detailed than the rest of the question. Everyone already knows how many months are in a year. What is for lunch today is just a normal question. How many students have a cell phone was not really detailed but it would have been different if they said "How many percentage of college students in math class uses cell phones.  

Hope this helps:)

Find the peremiter of triangle ABC

Answers

Answer:

18

Step-by-step explanation:

if AB : BC : AC is 3 : 4 : 2 and BC = 8 then AB = 6 and AC = 4

To calculate the perimeter of the triangle we add all side lengths up

4 + 6 + 8 = 18

Answer:

Step-by-step explanation:

12

units.

Explanation:

Using the Distance Formula,

A

B

2

=

{

(

5

)

(

2

)

}

2

+

{

(

2

)

(

2

)

}

2

=

9

A

B

=

3

Similarly,

B

C

=

5

,

and

,

A

C

=

4

Hence,

the Perimeter=

A

B

+

B

C

+

A

C

=

12

units.

Answer link

What would you multiply to make the y variable cross out?

-5x + y = -3

3x - 8y = 24

Answers

Answer:

Step-by-step explanation:

-40x + 8y = -24

 3x  -  8y = 24

-37x = 0

x = 0

0 + y = -3

y = -3

(0, -3)

Answer:

I will show you how to solve for x and y.

Step-by-step explanation:

-5x + y = -3

3x - 8y = 24

You can isolate y in the first equation, and substitute that into the second equation.

so to isolate y in -5x + y = -3, you would add 5x to both sides

this gives you y = 5x - 3

Then substitute this y into the equation below.

3x - 8(5x-3) = 24     (this way, the y variable disappears)

then distribute the 8 into the bracket

3x - 40x + 24 = 24

combine the variables

-37x + 24 = 24

isolate x by moving the constants to one side

-37x = 0

so x = 0

I am not sure if you want the rest, but here it is.

substitute x = 0 into one of the equations.

-5x + y = -3

-5(0) + y = -3

y = -3

I need some help on this question! I will mark if you help!

Answers

There will be 320 degrees because 360-40=320

The total cost of a $70.42 meal after a 20% tip
$

Answers

Answer:

$84.50

Step-by-step explanation:

Answer:

$84.504

Step-by-step explanation:

20% of 70.42 is 14.08, 14.08 plus 70.42 is 84.504

The sum of 4 consecutive odd integers is 72
Help

Answers

Answer:

Answer: The 4 consecutive odd integers are 15, 17, 19, 21.

Answer:

15 + 17 + 19 + 21= 72

Step-by-step explanation:

hope this helped!

A rectangular garden has an area of 60 squared feet. The garden is 4 feet longer than it is wide. Which equation can be used to determine the length and width of the garden?

Answers

Answer: See explanation

Step-by-step explanation:

Let the width be x

Then, the length will be x+4

Area = Length × Width

Therefore,

x × (x+4) = 60

x² + 4x = 60

x² + 4x - 60 = 0

x² + 10x - 6x - 60 = 0

x(x + 10) - 6(x + 10) = 0

(x - 6)(x + 10) = 0

x - 6 = 0

x = 6

The width is 6feet

Length = 6+4 = 10 feet

help me with this! i’ll give brainliest

Answers

Answer:

first box:6

second box: 1

Step-by-step explanation:

divide bothe 18b and 3y by 3 and you get those values.

Answer: 1. 3b 18y

Step-by-step explanation:

Will give brainliest

Answers

Answer: y=12 x =9

Step-by-step explanation:

In a parallelogram the diagonals bisect each other making them equal.

this means 2y + 6 = 30

we can rearrange this as 30 - 6 = 2y

24 = 2y  therefore y = 12

3x - 3 = 24

We can rearrange this as 24 + 3 = 3x

3x = 27

27 / 3 = 9

x = 9

Hope this helped :)

The hardware store is having a 15% off sale on lawn mowers this weekend. If x is the original price of a lawn mower, what will be the final sales price, excluding tax? Select TWO that apply.

A. 0.15 + x
B. x – 0.15
C. 0.15x
D. x – 0.15x
E. x(1.00 – 0.15)

Answers

Answer:

D and E

Step-by-step explanation:

help me pls the photo attached is the question quick pls ill give brainliest answer​

Answers

Answer:

12:18 and 20:30

Step-by-step explanation:

Answer:

12:18? n 20:30?

Step-by-step explanation:

sorry if im rong

help!!!!!!!!!!!!!!!!!!!!!!! Its geometry

Answers

You’re correct, the answer is A :)
The answer is A you were already on it! :)

PLEASE HELP ASAP IM TIMED
What steps are used to solve the equation?

g – 8 = 14



Complete the statements.

First,
both sides of the equation.
The solution of the equation is
.
Check the solution by substituting
for g and simplifying.

Answers

Answer:

both sides of the equation.

The solution of the equation is

.

Check the solution by substituting

for g and simplifying.

Step-by-step explanation:

What steps are used to solve the equation?

g – 8 = 14

Complete the statements.

First,

both sides of the equation.

The solution of the equation is

.

Check the solution by substituting

for g and simplifying.

Answer:

Step-by-step explanation:

What steps are used to solve the equation?

g – 8 = 14

 

Complete the statements.

First,  

✔ add 8 to

both sides of the equation.

The solution of the equation is  

✔ g = 22

.

Check the solution by substituting  

✔ 22

for g and simplifying.

What is 24a³ ÷ 8a ²​

Answers

Answer:

24/8=3. 3-2=1 but you don't have to put the 1

3a

The 3 and the 2 are subtracted.

Slope=2/5: passes through (-3,1)

Please help. I will give brainliest
What is the slope intercept form

Answers

Answer:

the required equation is y - 2/5x = 11/5

Other Questions
What part of a scientific research report is most likely to explain the report's key findings? what is 8/3y=5/6x-2 in standard form? What is the solution to this inequality?-9x 15 < 3O > -2O I < 2Or 2 James purchases tickets for the New York Knicks. He gives seven tickets to his colleagues. If James is left with 8 tickets, how many tickets did he purchase? who was athuro bocchini Each box contains 6 pens as shown in the table. # of Boxes # of Pens 1 6 2 12 3 18 4 Which list includes only independent quantities? O 1, 2, 3, 4 O 2, 4, 6,8 O 1, 2, 6, 12 O 6, 12, 18, 24 what two things should a person do before going on a liquid diet? there are n counters in a bag. 4 of the counters are red and the rest are blue. Ross takes a counter from the bag at random and does not replace it. he then takes another counter at random from the bag. the probability Ross takes two blue counters is 1/3. find the value of n A local little league has a total of 75 players, of whom 80% are left-handed. How many left-handed players arethere? The figure shows a quadrilateral. The length of each side is given as shownFind the perimeter of the quadrilateral in terms of z. Soda pop is carbonated with CO2. Mark puts one bottle of soda pop in the refrigerator and leaves the other out in the hot sunlight. After one hour, he opens both bottles. Which bottle will likely have more fizzing and bubbles? Why? Why were early radio shows limited on the kinds of sound effects that they could produce?Question options:Sound effects, like the shows, had to be live.There were records of music but not sound effects.There were few developments in audio effects to work with.Sound effects had to be created by the musicians or performers. Mario is 4 feet 9 inches tall. What is his approximate height in centimeters? (1 in. 2.54 cm) could someone describe the features for these words please will give brainiest MATH HELP!! ASAP!!! MARKING BRIAINLIEST!! 13. What does Culture mean? Provide examples. Which country was hurt the most with the Embargo Act of 1807?A SpainB) AmericaC) BritainD France A driver was going more then 15 miles per hour over the speed limit when he received a speeding ticket. If the driver's speed was 75 miles per hour, what was the speed limit, m, on the road where he was driving. I need help with this ASAP! please help me im timed and will give brainiest:( Volcanos are a geologic phenomenon that occurs at tectonic plate boundaries.Which provides the best evidence for the theory that faults and volcanoes are results of tectonic plate interactions?a. Faults on tectonic plates are in constant motion, but volcanoes may not erupt for manyyearsb. Tectonic plates that have many faults do not usually have volcanoes.a. Faults and volcanoes existed long before there were tectonic plates.b. Faults and volcanoes are often found at tectonic plate boundaries.