If z varies directly with the square of x and inversely with the cube of y, when x = 8, y = 2, and z = 12, what is x when y = 1 and z = 24?

Answers

Answer 1

The value of x in the direct and indirect varoation is calculated as: x = 2.

What is Direct and Indirect Variation?

If k is the constant of proportionality among two or more variables (x, y, z), a combined equation of direct and indirect variation is, z = kx/y, if z varies directly with x and indirectly with y.

With the information stated, we would have the following:

z = kx/y³

Find k, by plugging in the values of x, y, and z:

12 = k(8/2³)

12 = k(8/8)

12 = k

k = 12

Find x when y = 1 and z = 24:

24 = 12(x)/1³

24 = 12x

24/12 = x

x = 2.

Therefore, the value of x in the direct and indirect varoation is calculated as: x = 2.

Learn more about direct and indirect varoationon:

https://brainly.com/question/493649


Related Questions

There are 40%bananas and 50% apples in a bowl. How many more percentage points apples should be there so that apples become 50% more than bananas

Answers

Answer:

This means 50% of the total should be apples regardless of how many fruits there are in the bowl. If the reader only has 40% apples, they know they need to increase the number of...

Step-by-step explanation:

answer correctly thanks ​

Answers

Answer:

Angle CBD is 65°

Step-by-step explanation:

All of these angles add up to 180:

So, we can make this equation: (x is CBD)

46 + 21 + 48 + x = 180

115 + x = 180

-115         -115

x = 65

Hope this helps

Answer:

∠CBD = 65 degrees

Step-by-step explanation:

Please open the attached image!!

The data set below represents the different costs of a refrigerator at a local home improvement store.
$777, $498, $619, $379, $895, $1,256, $1,052
a. What is the median of the first half of the data? (first quartile)

Answers

The price of the refrigerators that is the median for the first half of the data is $498.

What is the median of the first half of the data?

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

The prices arranged in ascending order is: $379, $498, $619, $777, $895, $1052, $1256

The first half of the prices are $379, $498, $619,

Median = $498

To learn more about median, please check: https://brainly.com/question/14746682

Composing ________________ is another way to compose two functions

Answers

Answer:

is there any options or answers I could see?

At a competition of 8 teams, the order of the first three is recorded, How Many different outcomes does the competition have​

Answers

Answer:

366 possible outcomes

Step-by-step explanation:

just took a test on edge

A string of a kite is 100 meters long and the inclination of the string with the ground is 60°. Find the height of the kite, assuming that there is no slack in the string.

Answers

Answer:

86.5

Step-by-step explanation:

Length of the string forms the hypotenuse AC of right angle triangle ABC.

C is the kite. A is the hand of the person (or, one end of the string). CB is the perpendicular

(height of the kite) from C on the ground. BC is the horizontal.

Sin 60° CB/AC = √3/2

height = 1.73/2 AC = 0.865 * 100 m = 86.5 m

Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?

Answers

Step-by-step explanation:

total money she has = $25

she bought a gallon of milk for $3.50

amount remaining = 25-3.50 = $21.50

number of cereal she can buy with the remaining amount =21.50/4.50 = 4.77 boxes

she can buy 5 boxes (approximately)

What inverse operation will be used to undo the volume of Julie's jewelry box to find its edge lengths?

Volume formula for a cube is: volume = edge ^ 3

Answers

Answer:

Cubed root

Step-by-step explanation:

Do the inverse of cubed, cubed root

When using a reflective device such as a Mira to bisect angle ABC where should the reflective device be placed?
A. Place the reflective device along line segment AB
B. Place the reflective device along line segment AC
C. Place one end of the reflective device on the vertex B and swing the other end until you can see the reflected line segment BC coincide with line segment AB
D. Place one end of the reflective device on the vertex A and swing the other end until you can see the reflected line segment AB coincide with line segment AC

Answers

Answer:

c. Place one end of the reflective device on the vertex B and swing the other end until you can see the reflected line segment BC coincide with line segment AB

Step-by-step explanation:

Answer:

Step-by-step explanation:

A jewelry case has a base area of 37.5 sq cm and a height of 1.5 cm ..what is the volume of 6 of these cases

Answers

Answer:

As Per Provided Information

A jewellry case has a base area of 37.5 sq cm and a height of 1.5 cm .

Total Number of these cases are 6 .

We have been asked to determine the volume of these cases .

[tex]\bf\: Volume_{(Jewellery \: Cases)} = Base \: Area \: \times height \times Total \: number \: of \: Jewellery \:Cases[/tex]

Let's substitute the given value and we obtain

[tex]\sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = 37.5 \times 1.5 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 56.25 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 337.5 \: {cm}^{3} [/tex]

Therefore,

Volume of 6 jewellery cases are 337.5 cm³

Step-by-step explanation:

Given:-

Base area :- 37.5 sq. cmHeight:- 1.5 cm

To Find:-

Volume of such 6 jwellery case

Solution:-

Volume of 1 box :- base area × height

37.5 cm² × 1.5 cm

56.25 cm³

So , volume of 6 such cases :- 56.25 × 6

= 337.5 cm³

Solve for b.
-3b + 2.5 = 4

Answers

Answer: b = -0.5

Step-by-step explanation:

Given

-3b + 2.5 = 4

Subtract 2.5 on both sides

-3b + 2.5 - 2.5 = 4 - 2.5

-3b = 1.5

Divide -3 on both sides

-3b / -3 = 1.5 / -3

[tex]\boxed{b=-0.5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex]\Longrightarrow: \boxed{\sf{b=-0.5}}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is isolate the term of b from one side of the equation.

-3b+2.5=4

First, you have to subtract by 2.5 from both sides.

→ -3b+2.5-2.5=4-2.5

Solve.

Add or subtract the numbers from left to right.

→ -3b=1.5

Then, you divide by -3 from both sides.

→ -3b/-3=1.5/-3

Solve.

Divide the numbers from left to right.

→ 1.5/-3=-0.5

b=-0.5

Therefore, the correct answer is b=-0.5.

I hope this helps! Let me know if you have any questions.

3 5⁄7 + 1 9⁄14 = What is the answer if the answer is wrong I will come and haunt you

Answers

Answer:

[tex]5 \frac{5}{14} [/tex]

Step-by-step explanation:

[tex]3 \frac{5}{7} + 1 \frac{9}{14} [/tex]

Turn them into improper fractions

[tex] \frac{26}{7} + \frac{23}{14} [/tex]

[tex] \frac{2}{2} \times \frac{26}{7} + \frac{23}{14} [/tex]

[tex] \frac{52 + 23}{14} [/tex]

[tex] \frac{75}{14} [/tex]

Turn it into a mixed fraction

[tex]5 \frac{5}{14} [/tex]

Arc cd located on circle a has a central angle of 135 the radius is the circle is 24 centimeters what is the length of arc cd

Answers

[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=24\\ \theta =135 \end{cases}\implies s=\cfrac{(135)\pi (24)}{180}\implies s=18\pi ~cm[/tex]

Answer:

B) 18π cm

Step-by-step explanation:

Step 1

Given:

   Central angle θ=135°

    Radius of circle r=24 cm

    Length of arc CD =θ360°(2πr)

Step 2

  l=135°360°×2π×24

    l=38×2×π×24

    l=3×2π×3

      l=18π cm

Therefore

  Length of arc CD =18π cm

Thus, option B is correct.

Gabe planted 15 sunflower seeds, and 40% of them have sprouted. How many of the sunflower seeds have sprouted?

Answers

Answer:

hello

15 x 0.4 = 6

6 sunflower

Step-by-step explanation:

Answer:

6 of them have sprouted

Step-by-step explanation:

(15/100)x40

0.15x40

6

What numbers could replace each letter to make both of the number sentences true?

Answers

Answer:

N = 9  & P = 4

Step-by-step explanation:

N* N = 81

N * N = 9*9

N = 9

N * P = 36

Substitute N = 9,

9* p = 36

    P = 36 ÷ 9

  P = 4

Measurements of angles

Answers

Answer:

x = 60

Step-by-step explanation:

Since this triangle is an isosceles triangle, the angle next to the 60 degrees is 60 as well. The interior angles of a triangle adds up to 180 degrees, so:

60 + 60 + x = 180
120 + x = 180
x = 60
Hope this helps :)

which of the following is true about the sequence graphed below?

Answers

Answer:

The sequence is arithmetic because the terms have a common difference

Step-by-step explanation:

The difference between each term in the sequence is constant. The sequence shown below, considering the y values of the coordinates, are 9, 7.5, 6, 4.5, 3, 1.5. Each term has a difference of 1.5, thus making all terms have a common difference, and making the sequence arithmetic.

Adding and subtracting I need it right now the answer

Answers

Answer:

Just give me the questions and ill do it

Step-by-step explanation:

please solve WILL MARK BRAINLIES
Solve the question 2 it is necessary but 1 upto you​

Answers

Answer:

See below ↓

Step-by-step explanation:

ii.

(x - iy)(3 + 5i) 3x - 3iy + 5ix - 5i²y3x + 5y + 5ix - 3iyConjugate of -6 - 24i ⇒ -6 + 24iReal part : 3x + 5y = -6Imaginative part : 5x - 3y = 24

Solving

9x + 15y = -18 [Multiplying the real part throughout by 3]25x - 15y = 120 [Multiplying the img part throughout by 5]34x = 102x = 327 + 15y = -1815y = -45y = -3

Answer:

Brainliest please

Step-by-step explanation:

A safe has 10,000 possible lock combinations. If a thief tried 80 combinations the first hour, then 40 every hour after, how many hours would it take before trying them all?

Answers

It takes 249hrs before trying them all.

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

The answer is a (4,6) :)

0,4

2,5

4,6

Have an amazing day!!

Please rate and mark brainliest!!

Use point-slope form to solve for the slope.

(y-y,)=m(x-x,)
(4-5)=m(0-2)
m=1/2

we know the line passes through (0,4) so that is your y-intercept.

slope intercept form
y=mx+b
y=1/2 x + 4

now just plug in the points until you find one that is true:

Lucky for us the first one works (4,6)

funny that they give (2,5) as an option and it’s already in the question but they want you to find another point, so

The answer is A

I hope this helps and is the BRAINLIEST!

Good luck with your studies!


5 A bag of tiles contains 6 green, 4 yellow, and 5 blue tiles. If one tile is pulled at random what is the probability of NOT choosing a green tile.
Make sure to give your probability as a fraction in simplest form.

Answers

Answer:

3/5

Step-by-step explanation:

6+4+5 = 15

5+4 = 9

9/15 = 3/5

Answer:

3/5

Step-by-step explanation:

Since it given that a bag of tiles contains:

6 green

4 yellow

5 blue

To Find:

If one tile is pulled at random what is the probability of NOT choosing a green tile.

Solve:

knowing that there are a total of 15 tiles {6+5+4=15}

And there is 6 green tiles

Thus, 15 - 6 = 9

Hence, the probability of Not Choosing a green tiles before simplest form is 9/15

GCD - 3

Divide both the numerator and denominator by the GCD

9 ÷ 3/15 ÷ 3

Reduced fraction = 3/5

Therefore, the probability of Not choosing a green tiles is 3/5

~Lenvy~

What is the process of writing a number as a product of several factors

Answers

Answer:

Step-by-step explanation:

you need to write out all the numbers that contain the specific number in their times tables, for example. factors of 20 are 1, 20, 4, 5, and 2 because all these numbers have 20 in their times tables.

Which expression represents the product of b and 18?
A. 18(b-18)
B. 18+b
C. 18/b
D. 18b

Answers

Answer:

You're answer is D.18b

Hey there!

The product of a number and 18 means you multiply that number times 18; the result is called the product.

When we multiply a number times a variable, we always write the number before the variable.

For example, we multiply 4 times d, and the result is 4d.

Let's check the options and see if we can spot something like "5a"

The first option:  we multiply 18 times the difference of b and 18.

The second option: we add 18 and b

The third option: we divide 18 by b

The fourth option: we multiply 18 times b (That's the right option! We did it  :)

Hence, the answer is

[tex]\boxed{\boxed{\bold{18b}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

[tex]\rule{200}{2}[/tex]

The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.

The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.

Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.

Answers

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Find the lengths of the diagonals of rectangle WXYZ where WY = - 2x + 34 and XZ = 3x - 26.

Answers

Answer:

The measure of the diagonals are 10 units each.

Step-by-step explanation:

The diagonals of a rectangle are always equal (Refer to image).

⇒ -2x + 34 = 3x - 26

⇒ -2x + 60 = 3x

⇒ 60 = 5x

⇒ 60/5 = 5x/5

12 = x

Now, let's substitute the value of x into any diagonal.

⇒ -2x + 34 = WY

⇒ -2(12) + 34 = WY

⇒ -24 + 34 = WY

10 units = WY

Thus, the measure of the diagonals are 10 units each.

Solve by completing the square

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 8x = 33 [/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 8x +16 = 33 + 16 [/tex]

[tex]\qquad \sf  \dashrightarrow \: (x + 4) {}^{2} = 49[/tex]

[tex]\qquad \sf  \dashrightarrow \: x + 4 = \sqrt{49} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x + 4 = \pm7[/tex]

Hence, there are two solutions ~

1. when x + 4 = 7

[tex]\qquad \sf  \dashrightarrow \: x + 4 = 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 7 - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 3[/tex]

2. when x + 4 = -7

[tex]\qquad \sf  \dashrightarrow \: x + 4 = - 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = - 7 - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = - 11[/tex]

I hope you understood ~

what is the volume inside a cylinder 10ft radius 6 ft height

Answers

Answer:

1884.956ft³

Step-by-step explanation:

[tex]volume = \pi {r}^{2} h \\ = \pi \times {10ft}^{2} \times 6ft \\ = 600\pi {ft}^{3} \\ = 1884.956 {ft}^{3} [/tex]

Please rate brainliest

HELPPP 50pts !!!!!!!!!!!

Answers

Answer:

44462, 1462

Step-by-step explanation:

multiply 43000 by 1.034% and get the answers

Percentage increase=3.4%

Current price=$43000

Increase:-

[tex]\\ \rm\Rrightarrow 0.034(43000)[/tex]

[tex]\\ \rm\Rrightarrow 1462\$[/tex]

New price

[tex]\\ \rm\Rrightarrow 43000+1462[/tex]

[tex]\\ \rm\Rrightarrow 44462\$[/tex]

Melissa earns 41 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Melissa earns in a week if she sells B books.
Write an equation relating A to B. Then use this equation to find the amount of money Melissa earns if she sells 25 books.
Exaction:
Amount Melissa earns if she sells 25 books: dollars

Answers

Answer:

answer down below

Step-by-step explanation:

1.A+B=61

2.41+25=61

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