Write an equation describing the relationship of the given variables. y varies inversely as the cube root of x and when x=125, y=8.

Answers

Answer 1

Answer:

y = 40 / x^1/3

Step-by-step explanation:

Given that :

y α x^1/3

y = k * 1 / x^1/3

y = k / x^1/3

When x = 125 ; y = 8

8 = k / 125^1/3

Cube root of 125 = 5

8 = k / 5

8 * 5 = k ; k = 40

Hence, expression becomes :

y = 40 / x^1/3

Answer 2

y α k/∛x is the relationship of the variables x and y whose values are 125 and 8.

What is Equation?

Two or more expressions connected with an equal sign is called Equation.

The relationship of the given variables. y varies inversely as the cube root of x.

By given data we can write as

y α k/∛x

The cube root of 125 is 5.

y α k/∛125

y α k/5

8=k/5

k=40

Hence y α 40/∛x is the relationship of the variables x and y whose values are 125 and 8.

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Related Questions

Need help with this asap!

Answers

Answer:

1. m

Coefficient: 1

Variable: m

Degree: 1

Constant: Does not have one (if I am correct)

2. [tex]-7a^{2}[/tex]

Coefficient: -7

Variable: a

Degree: 2

Constant: Does not have one (if I am correct)

3. [tex]3t^{2} +4t-6[/tex]

Coefficient: 3

Variable: t

Degree: 2

Constant: -6

4. [tex]2-h[/tex]

Coefficient: 1

Variable: h

Degree: 1

Constant: 2

BRAINLIEST! A box contains 84 chocolates, of which 63 are dark chocolates. The rest are milk chocolates. What is the ratio of milk chocolates to the total number of chocolates in the box?

Answers

Answer:

1:4

Step-by-step explanation:

84-63=21

there are 21 milk chocolates in the box

ratio of milk chocolates to total number of chocolates=21:84

                                                                     simplify that=1:4

please can i have help

Answers

Answer:

1/4 i think

Step-by-step explanation:

Answer:

y= -- 1/4 x + 7/4

y= -- 1/4 x + 1.75

Step-by-step explanation:

i runed it through desmos and i was just like the picture dont  know how to explain it

The scatter plot shows the weight of a child each month.
The birth weight of the child is ?
kilograms. The child gains an average of
? per month

The first ? options
-0
-3
-3.5

The second ? options
-0.5
-1
-1.5

Answers

Answer:

3.5

0.5

Step-by-step explanation:

................

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proof.

Given: Two concentric circles with AB tangent to smaller circle at R



Prove: AR = RB

Answers

Step-by-step explanation:

The statements are

1.Draw Oa,Ob

2.OR is perpendicular to AB

3.OR is congruent to OR

4.OA is congruent to OB

5.Triangle AOR is congruent to BOR.

6.AR is congruent to AB.

The reasons are

1.Auxalaritly lines

2 Radius are perpendicular to tangent

3.Reflexitive

4.Radii of same circle are equal

5.HL theorem, (since we know hypotenuse and a leg)

6.CPCTC

Carlos is a business marketer. He earns $28.75 per hour. He works 3934 hours. What is
his straight-time pay?

Answers

Answer:

113,102.5Step-by-step explanation:

A credit card advertises an annual interest rate of 23%.
What is the equivalent monthly interest rate?

Answers

Answer:

Interest rates is equal to 23%

4.
Sasha has 47 fewer makers than Ron. Together they have 247 markers.
Let x = the number of markers Ron has.
Write an equation to solve for x.

Answers

247= x + (x-47)
or
x + (x-47)= 247

best anwser gets brainly yt no work correct anwser​

Answers

Answer:

2nd One 7 times 10 -2

Step-by-step explanation:

Answer:

7×10^ -2

.....................

Catherine is adding fractions for her homework. Here is some of the work that Catherine has done. 2/3 + 3/5 = 5/8. In the space below, explain the error that Catherine made when adding.

Answers

Step-by-step explanation:

2/3+3/5

=10+9/15

=19/15

The mistake she made was that she didn't took right LCM.

The value of the fraction 2/3 + 3/5 is 19/15.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

2/3 + 3/5

= (10 + 9)/15

= 19/15

Thus,

The value is 19/15.

Learn more about fractions here:

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How many pizzas can Naylah make if she had 9 blocks of cheese?

Answers

Answer:

well it depends on how much cheeses she uses on the pizzas

Step-by-step explanation:


What do you add to
17 to make 5?

Answers

You would add -12 to 17 to make 5.

7. ¿Cuál es el valor de x en la ecuación:
8x2 + 3 - 15 ?
5
A) - 6
B) + 5
C) - 4
D) + 3​

Answers

I think C. Hope this help! I don’t wanna be rude but can I have brainliest please???!

How much higher is -200m than 450m

Answers

Answer:

650

Step-by-step explanation:

its ez trust

Answer:

10826

Step-by-step explanation:

hdsjsjdbebevehejejhehd

an Olympic driver drives off a diving board that is 12 meters off the ground during his dive he touches the bottom of the pool which is 15 feet deep what is the distance from the diving board to the bottom of the pool

Answers

I’m assuming the distance is 27 feet

I will give you stuff if you answer correctly

Answers

I think is the 3rd sorry if I’m wrong

Write an equation to represent the situation: A starfish descends 2/3 of a meter each hour, h, until it has moved 6 total meters.

Answers

Answer:

6=2/3h

Step-by-step explanation:

Pleaseee helppp answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

<E is congruent to <D

Step-by-step explanation:

Hope that helps!

ahhh I have no idea but can I get one

i don’t understand, explain also

Answers

Answer:

32

63

Step-by-step explanation:

m<BCA=180-148-32 Subtract 180-148 b/c x<BCA is along the straight line ACD. A straight line will have an angle of 180 degrees.

m<CAB=180-32-85=63 All triangles have angles which add up to 180 degrees. Subtract 32 and 85 from 180 to get 63.

Step-by-step explanation:

148 + x = 180

x = 180 - 148

x = 32

Find m<CAB basically means find the measure of the angle of A ( m<A )

m<B + m<A + x = 180

85 + m<A + 32 = 180

117 + m<A = 180

m<A = 180 - 117

m< A = 63, so m<CAB = 63

And m<BCA means find the measure of angle C(m<C) or as we did it earlier as x, which is the same thing.

So m<BCA = 32

7 more than twice z ..............................................................

Answers

Answer:

2z+7

Step-by-step explanation:

2*z+7

2z+7

Find the y-intercept of the line, Find the slope of the line and, Find the equation of the line.

Answers

Y-intercept: 4
Slope: 2/3
Equation: y=2/3x+4

Slope-Intercept Form: y=mx+b

Slope: m

HOW TO FIND m:

Rise/Run

4/6 (it can be simplified)

We get two thirds (2/3)

y-intercept: (b)

4

Equation: y=2/3x+4

I really hope it helps:)

- An Acellus Student

Plus a scientific fact:

We have 100 billion neurons in our brain:)

19/24 as a decimal rounded to the nearest hundreths

Answers

Answer:

0.79

Step-by-step explanation:

19 / 24 is 0.79166667

So it's 0.79

Answer:

0.79

Step-by-step explanation:

does anyone know all the real solutions to this equation?

Answers

Answer:

this problem isn't recognized, please make sure the input is complete!

Step-by-step explanation:

Find the value of (1/5)⁻² + (1/2)⁻³ + (1/4)⁻¹



Answers

Answer:

Answer = 37

Step-by-step explanation:

= (5)² + (2)³ + (4)¹

= 25 + 8 + 4

= 37 Answer

Answer: The answer is 37

Step-by-step explanation:

Step 1: Use Negative Power Rule: x^-a=1/x^a. So 1/(1/5)^2+(1/2)^-3+(1/4)^-1

Step 2: Use Division Distributive Property: (x/y)^a=x^a/y^a. So 1/1/5^2+(1/2)^-3+(1/4)^-1

Step 3: Simplify 5^2 to 25. So 1/1/25+(1/2)^-3+(1/4)^-1

Step 4: Use Negative Power Rule: x^-a=1/x^a. So 1/1/25+1/(1/2)^3+(1/4)^-1

Step 5: Use Division Distributive Property: (x/y)^a=x^a/y^a. So 1/1/25+1/1/2^3+(1/4)^-1

Step 6: Simplify 2^3 to 8. So 1/1/25+1/1/8+(1/4)^-1

Step 7: Use Negative Power Rule: x^-a=1/x^a. So 1/1/25+1/1/8+1/1/4

Step 8: Invert and multiply. 25+1/1/8+1/1/4

Step 9: Invert and multiply. 25+8+1/1/4

Step 10: Invert and multiply. 25+8+4

Step 11: Simplify 25+8 to 33. So 33+4

Step 12: Simplify. So the answer is 37

The area and length of a rectangle are given below. Find the w, the width.

Answers

Answer:

1.5

Step-by-step explanation:

yaaa

Answer: Choice B)   1 & 1/2 feet

This is the same as 1.5 feet and it is equivalent to the improper fraction 3/2.

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

Explanation:

Let's convert the given mixed numbers into improper fractions.

A = 5 & 1/3 = 5 + 1/3 = 15/3 + 1/3 = (15+1)/3 = 16/3

L = 3 & 5/9 = 3 + 5/9 = 27/9 + 5/9 = (27+5)/9 = 32/9

So the area and length are 16/3 and 32/9 respectively.

-------------------

Let's solve for the width W

area = length*width

A = L*W

16/3 = (32/9)*W

9*(16/3) = 9*(32/9)*W ..... multiplying both sides by 9

48 = 32W

32W = 48

32W/32 = 48/32 ....... dividing both sides by 32

W = 48/32

W = (32+16)/32

W = 32/32 + 16/32

W = 1 + 1/2

W = 1 & 1/2 feet is the width

This is equivalent to 3/2 since 48/32 = 3/2

It's also equivalent to 1.5 because 3/2 = 1.5

What is the area of the figure, use 3.14 for π

Answers

Answer: Area of a square is a².

4² = 16

Now find the area of the semicircle.

(πr²)/2

(3.14)(2)²/2

12.56/2

6.28

Now add the areas to find the total area.

6.28 + 16 = 22.28

Hope this helps :)

Step-by-step explanation:

the area is going to be 22.28 !

Please I don’t understand this can someone help

Answers

Answer:

C

Step-by-step explanation:

The question is hard and i understand why youre confused but its C because i learned about stuff like this in 5th grade and im good at it im so sorry if im wrong but im almost positive its C hope i helped!

y = f(x + c) will shift f(x) left by c units

For a reflection about the x-axis, a NEGATIVE SIGN in placed in front of f.

Knowing this fact, the answer is -f(x + 4).

Factor the following polynomial completely. -0.8x2 - 6.4x + 7.2

Answers

Answer:

-0.8(x + 9)(x - 1)

Step-by-step explanation:

Note that 0.8 is a factor of the three coefficients -0.8, -6.4 and 7.2.  Thus,

-0.8x2 - 6.4x + 7.2  =  0.8(-1x^2 - 8x + 9), or, equivalently,

                               = -0.8(x^2 + 8x - 9), which factors further as follows:

                                = -0.8(x + 9)(x - 1)

Which is the better deal?
At the Willow market you can buy 6 bags of apples for $29.76.

At the Orchard Market you can get 2 bags of apples for $10.14.

Answers

Answer:

The Willow market is better

Step-by-step explanation:

Answer: Orchard market

Step-by-step explanation:When you divide 6 by 29.76 and 2 by 10.14 you get a greater value from willow market

1. a group of friends went to the movies, and the three guys each bought two tickets (t), a popcorn (p) and two drinks (d) for themselves and their dates.

After distributing, we can represent this situation with the expression. __________________.

Answers

Answer:

6t + 3p + 6d

Step-by-step explanation:

Given - A group of friends went to the movies, and the three guys each      

            bought two tickets (t), a popcorn (p) and two drinks (d) for

            themselves and their dates.

To find - After distributing, we can represent this situation with the

              expression.

Proof -

As given , three guys each bought two tickets (t), a popcorn (p) and two drinks (d) for themselves and their dates.

Let ticket = t

     popcorn = p

     drink = d ,

Then,

The expression becomes -

3[2t + p + 2d ] = 6t + 3p + 6d

∴ we get

We can represent this situation with the expression - 6t + 3p + 6d

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