if y varies jointly as the square of x and the cube of z and inversely as the square root of w. When x = 2, z = 2, and w = 64, then y = 12. Find y when x = 1, z = 3, and w = 4.

Answers

Answer 1

Answer:

40.5

Step-by-step explanation:

if y varies jointly as the square of x and the cube of z and inversely as the square root of w, this is expressed as;

y ∝ x²z³/√w

y = kx²z³/√w

If x = 2, z = 2, y = 12 and w = 64

Substitute;

12 = k (2)²(2)³/√64

12 = 32k/8

12 = 4k

k = 12/4

k = 3

To get y when x = 1, z = 3, and w = 4.

y = 3 (1)²(3)³/√4

y = (3*27)/2

y = 81/2

y = 40.5

Hence the value of y is 40.5


Related Questions

Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie

Answers

Answer:

x intercept is 180

Step-by-step explanation:

Given

[tex]y = cos(\frac{1}{2}x)[/tex]

Required

Determine the x intercept

To do this, we simply set y to 0.

i.e. y = 0

Substitute 0 for y in [tex]y = cos(\frac{1}{2}x)[/tex]

[tex]0 = cos(\frac{1}{2}x)[/tex]

Take [tex]cos^{-1}[/tex] of both sides

[tex]cos^{-1}(0) = cos^{-1}(cos(\frac{1}{2}x))[/tex]

[tex]90 = \frac{1}{2}x[/tex]

Multiply both sides by 2

[tex]2 * 90 = \frac{1}{2}x * 2[/tex]

[tex]2 * 90 = x[/tex]

[tex]180 = x[/tex]

[tex]x = 180[/tex]

Hence, the x intercept is 180

Gold has a density of 19.3 g/mL. What is the mass of a 7.5 mL sample of gold?

Answers

Answer:

144.75 g

Step-by-step explanation:

19.3x7.5 = 144.75

What is the radius of a cone with a volume of 72m3 and a height of 2m

Answers

Answer:

just look up cone calculator and you will find it

Is (3, 7) a solution to the equation y = 2x – 4? yes or no Submit​

Answers

Answer:

(3, 7) is not a solution.

Step-by-step explanation:

In this question, we have to find out if the point (3, 7) is a solution to the equation.

To find your answer, you would plug in the coordinate into the equation and solve.

Solve:

y = 2x - 4

Plug in coordinate.

7 = 2(3) - 4

7 = 6 - 4

7 ≠ 2

Since both sides are not equal to each other, this makes the statement false. Therefore, (3, 7) is not a solution.

Your answer would be (3, 7) is not a solution.

evaluate the expression 4/5-2/3

Answers

Answer:

2/15

Step-by-step explanation:

Find the LCM which is 15. Multiply 4/5 by 3 to get the numerator 15 and multiply 5 to 2/3 to get the numerator 15.

12/15-10/15=2/15

Hope this helps. Pls give brainliest.

Over a two hour time period a snail moved 50 inches. How far is this in yards? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

Answer:

1.3 yards

Step-by-step explanation:

Answer:

1 7/18 yards or 1 14/36 yards.

Step-by-step explanation:

There are 36 inches in a yard, so you divide 50 by 36.

You get a variety of answers depending on what form you want it in:

1 yard 1 foot and 2 inches.

1 yard and 14 inches.

These two answers take two forms as fractions of 36:

1 14/36 yards

or simplified: 1 7/18 yards.

At the last census, 20% of the people in a town were less than 16 years old, 20% were 16-30, 25% were 31-45, 15% were 46-60, and 20% were over 60. To test to see if the age strucutre of the town has changed a random sample of of 200 residents of the town yields the following results:
Age: <16 16-30 31-45 46-60 >60
Observed Frequency 30 31 37 50 52
Test to see if the age structure has changed (using the 5% level of significance).

Answers

Answer:

kk

Step-by-step explanation:

3. What is the value of (4/3)^3

Answers

Answer:

64/27 = 2.37037037

Step-by-step explanation:

(4/3)^3

Calculate 4/3  to the power of 3 and get 64 /27

64/27

​  

A car owner buys diesel at rs 7.50, rs 8, rs 8.50 per litre for three successive years. what approximately is the average cost per litre of diesel if he spends rs 4000 each year?​

Answers

Answer:

Average cost per litre of diesel = rs 8.00

Step-by-step explanation:

Amount spent on diesel each year = rs 4000

Price of a litre of diesel in the first year = rs 7.50

Price of a litre of diesel in the second year = rs 8.00

Price of a litre of diesel in the third year = rs 8.50

Average cost per litre of diesel = [tex]\frac{p_{1} + p_{2} + p_{3} }{n}[/tex]

where n is the number of years.

Average cost per litre of diesel  =  [tex]\frac{7.5 + 8.00 + 8.50}{3}[/tex]

                                                     = [tex]\frac{24}{3}[/tex]

                                                     = 8

Average cost per litre of diesel is rs 8.00

So that he buys an average of 500 (i.e [tex]\frac{4000}{8}[/tex]) litres every year.

2. Mr. C'Quence just wrote a 35-problem test for his math class. He wants some of the problems to be
worth two points each while the rest will be worth three points each. If the test must be worth a total of
100 points, set up a system of equations to determine how many of each type of problem Mr. C'Quence
should have on his test?
Define the variables:
Write the system (but do not solve):
I

Answers

Hdjdjjdksjsjsjsnsmlspskskss

how many solutions xoes the equation x+8=x+8​

Answers

Answer:

Infinity

Step-by-step explanation:

x+8 = x+8

-x .      -x

8 = 8 = always true  

3)
Evaluate the expression 2x-5 when x = 3.

Answers

Answer:

1

Step-by-step explanation:

Plug in the x to the original equation given.

2(3)-5

2 times 3 is 6 so then,

6-5 =1

Hey there!

2x - 5

= 2(3) - 5

= 6 - 5

= 1

Therefore, your answer is: 1


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

graph the equations f(x)=-1/9x-3
g(x)=5/9x-9

Answers

Answer:

Graph of equations provided in the attached image.

Step-by-step explanation:

Brgy. Mataas has a
population of 365 thousand this
is about 40% of the population of Brgy. Mababa.
what
is the population of Brgy. Mababa?​

Answers

Answer:

Step-by-step explanation:

Your answer

40% of 365000 is = 146000

Mark it as Brainlist answer. Follow me.

Please answer

(Will give brainlst)!!

Answers

Answer:

D

Step-by-step explanation:

Should work i got and 80 on that one

H) Jorge had 3 pounds of strawberries. He let his friend Matt eat 1/2 of the strawberries. How many pounds of strawberries did Matt eat? ​

Answers

Answer: Matt ate 1.5 pounds of strawberries.

Step-by-step explanation:

3 ÷ 1/2 = 1.5

Answer:

1.5 pounds

Step-by-step explanation:

Total of strawberries = 3 pounds

Mat eat half of the total of strawberries = 1/2 * 3 pounds = 1.5 pounds

Find the equation of a line perpendicular to x=−4 that contains the point (−3,4). Write the equation in slope-intercept form.

Answers

Answer:

y=4

Step-by-step explanation:

We recognize x=−4 as a vertical line, so its perpendicular will be horizontal. The equation of the horizontal line containing the point (−3,4) is given by y=4.

The slope-intercept form of a line perpendicular to x=−4 that contains the point (−3,4) is y = 4.

What is the slope of a line that is perpendicular to the other line?

The slope-intercept form of a line is y = mx + c.

Here, m = slope and c = y-intercept of the line.

The equation of the given line is x = - 4

Therefore, the given line is a vertical line.

Now, the line that is perpendicular to the line x = - 4, is a horizontal line.

Now, the horizontal line that passes through the point (- 3, 4) is y = 4.

Learn more about the slope-intercept form of a line here: https://brainly.com/question/15000427

#SPJ3


QUESTION: A survey of students in a homeroom class explored the
relationship between gender and participation in the school band. What
is a reasonable conclusion to draw from the data?*

Answers

Answer:

ill say its c but im not that sure

Step-by-step explanation:

With compound interest, what happens when you start compounding more and more frequently?
a. there is no correlation between compound c. the computed value gets larger
interest and the computed value
b. the computed value stays the same d. the computed value gets smaller
Please select the best answer from the choices provided
A
B
ОООС

Answers

Answer:

The further compounding cycles in a given year, the greater the effect on the valuation of potential investment. Therefore, the more interest-posting dates, irrespective of the interest rate, the more compounding raises the account balance.

Step-by-step explanation:

Answer:

C

the computed value gets larger

Step-by-step explanation:

I don’t know how to find X or Y very urgent, need to figure this out how to solve plz help

Answers

Answer:

x = 9

y = 9√3 = 15.6

Step-by-step explanation:

The triangle given is a right triangle, therefore:

✔️apply trigonometric ratio formula to find x:

Reference angle = 60°

Hypotenuse = 18

Adjacent = x

Thus:

Cos (60) = x/18

Multiply both sides by 18

18×cos(60) = x

9 = x

x = 9

✔️find y by applying pythagorean theorem:

y² = 18² - x² (pythagorean theorem)

y² = 18² - 9² (substitution)

y² = 243

y = √243

y = √(81*3)

y = 9√3 = 15.6

What is the volume of the rectangular prism?​

Answers

Answer:

15 0/0

Step-by-step explanation:

15 cubes on each side which totals to 30 cubes. To get the volume 15 cm multiply 30 x 1/2 = 15 the amount of volume

Answer:

15[tex]cm^{3}[/tex]

Step-by-step explanation:

ok...each of those boxes are 1/2 cm

What is the easiest thing to do is to count the front of the rectangular prism and there are 15 cubes. Now double it, and you get 30 cubes, now since each cube is 1/2 or 0.5, we get can do 0.5 x 30 and we get 15

Hope this helped!

Have a supercalifragilisticexpialidocious day!

I need to prove the following statement by proof by contrapositive or proof by contradiction:

Suppose x ∈ R. If x^ 5 − 4x^ 4 + 3x^ 3 − x ^2 + 3x − 4 ≥ 0 then x ≥ 0.

Answers

Answer:

b

Step-by-step explanation:

ok

HALPPPPP!!
The equation of direct proportion y=kx is given by the table. Find the coefficient k, copy the table and fill it in!

Answers

Answer:

K = - 4

Step-by-step explanation:

And i don't have a paper now so I cann't to complet the table sorry

The value of a baseball card can be represented by the equation Y - 3x+ 39, where x represents the number of year
that Robert has owned the card and y represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?

$3
$13
$36
$39

Answers

9514 1404 393

Answer:

  $39

Step-by-step explanation:

Assuming your equation is supposed to be ...

  y = 3x +39

The value of y when x = 0 is 39.

The value of the card when Robert purchased it was $39.

Answer: $39

Step-by-step explanation:

Use the diagram below to answer the following questions.
The infield of a baseball field is a square. The distance from home plate to first base is 90 ft.
2nd
8a. What is the distance from home plate to second base?
pitchers mound
3rd
1st
90 ft
8b. What is the distance from third base to first base?
Home
8c. If the pitcher's mound is 60 ft 6 in from home plate, is it the midpoint of the diagonal from home
plate to second base?

Answers

Answer:

Step-by-step explanation:

Distance from home plate to second base = 90√2 feet

Distance from third base to first base = 90√2 feet

60 ft 6 in = 60.5 ft

90√2 /2 = 45√2 ≅ 63.6 ft ≠ 60.5 ft

The pitcher's mound is not at the midpoint.

Solve for w. -2 > W - 12​

Answers

Answer:

10 > w

Step-by-step explanation:

-2 > w-12

Add 12 to both sides of the equation in order to isolate w

-2+12 > w-12+12

This will cancel out 12 on the right side of the inequality as well as give the value of w on the left side of the inequality.

10 > w

(3a+9)+(6a+6) =
What is the answer to this??

Answers

Answer: 9a+15


Explanation: We are combining like terms so we can rearrange the equation to

(3a+6a) and (9+6)

3a+6a= 9a

9+6=15

So 9a+15
9a + 15
If it’s wrong let me know

(-12,16) and (-4,-2)find the slope

Answers

Answer:

It's -9/4 or -2 1/4. please mark me brainliest <3

Step-by-step explanation:

1) label x1, y1, x2, and y2.

x1     y1       x2 y2

(-12, 16)     (-4,-2)

2) Remember the formula is y2-y1

                                               --------

                                                x2-x1

3) substitute

-2-16

--------

-4-(-12)

4) two minuses (negatives) is a positive (+)

so,

-2-16             -18

---------=       --------

-4+12               8

5) simplify

-18 divided by 2          -9

-----                          =   -------    or -2 1/4

  8 divided by 2             4

Answer:

-1.75

Step-by-step explanation:

Mark practice the piano for 2/3 for an hour for 6 hours every week. How many hours does he practice each week​

Answers

Answer:

9

Step-by-step explanation:

6 divided by 2/3 = 6 x 3/2 = 18/2 = 9

hope this helped!

Answer:

2/2

Step-by-step explanation:

Which polygon appears to be regular?
O Figure A
O Figure B
O Figure C
Figure A
Figure B
O Figure D
Figure C
Figure D

Answers

I think c if not please tell me

Figure C appears to have all sides and angles the same.

What are regular polygons?

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).

We have,

Some examples of regular polygons include equilateral triangles, squares, pentagons, hexagons, and so on.

A regular polygon can have any number of sides, and its name reflects the number of sides it has.

For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, a polygon with five sides is called a pentagon, and so on.

Thus,

Figure C appears to have all sides and angles the same.

Learn more about regular polygons here:

https://brainly.com/question/24328525

#SPJ5

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