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

Find the square root of the following decimal numbers.​

Answers

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful.......

Answer:

square root of

2.56=√(2.56)=1.618.49=√(18.49)=4.368.89=√68.89=8.384.64=√84.64=9.2

A chocolate company selects 30 random packages to check their weight. They find 3 packages have an incorrect weight. How many packages out of 3,000 should the company predict have incorrect weights?

Answers

Answer:

300 packages

Step-by-step explanation:

Charlotte made a bracelet using red, gray, and white beads.

Five-ninths of the bracelet is white.

The rest of the bracelet has an equal amount of red and gray.

How much of Charlotte's bracelet is gray?

Answers

Two-ninths of the bracelet is gray. Since five-ninths of the bracelet is white, four-ninths of the bracelet is red and gray. The word problem says that there is an equal amount of red and gray, so you divide four in half. Two-ninths of the bracelet is gray, two-ninths of it is red, and five-months of it is white.

An adult human body contains about 10 pints of blood. How many fluid ounces is the equivalent of 10 pints?

Answers

Answer:

160 ounces (im pretty sure sorry if im wrong)

Answer:

160 US fluid ounces

Step-by-step explanation:

8. Which diagram correctly depicts the expression below? -5 - 2 F. G. -6 -4 -2 2 4 -12 -10 -8 -6 -2 0 H. J. -8 -6 -4 -2 0 2 4 -2 4 6​

Answers

Answer:

the sender is 23 I don't no if I am right tho

An elementary school wants to purchase a new swing set. The table shows the selling price of the swing sets they are interested in buying
Swing Set
Wholesale Price ($)
Adventurers
3,056
Thunder Ridge
4,125
The markup for both swing sets is 20%. The school decides to buy the Adventurers swing set. What is the selling price of the swing set they
are buying? Round to the nearest cent if necessary,

Answers

Answer: The answer is 3674.84

The selling price of Adventurers swing set is $3,667

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

Example:

50% = 50/100 = 1/2

We have,

Adventurers swing set wholesale selling price = $3056

Markup means the amount increased.

20% Mark up on the price:

= 20% of 3056

= 20/100 x 3056

= $611.2

The selling price of Adventurers swing set:

= $3056 + $611.2

= $3,667.2

Rounding to the nearest cent:

= $3,667

Thus the selling price of Adventurers swing set is $3,667

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which is the best estimate for the sum of 2 7/8 + 2 4/5=

Answers

Answer:

6 because I would estimate 2 7/8 to 3 and 2 4/5 to 3 so 3 + 3 = 6

can anyone help me get the surface area of
2cm
5cm
8cm

Answers

Answer:

according to your question 2cm is length of the rectangle and 5cm width and 8cm height.

so the surface area of rectangle=2(lb+bh+hl)

surface area=2(2×5+5×8+8×2)

SA=2(66)

SA=132cm²

if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.

What is the number of degrees the minute hand of a clock moves between 10:21 pm and
10:34 pm on the same day?

Answers

Answer:

13

Step-by-step explanation:

Please help me this I’m running out of time

Answers

Answer:

I chose 7 as the base and 2 as the Exponent

Step-by-step explanation:

7^2 . 7 is the base and 2 is the Exponent.

Standard Form: 7^2

Expanded Form : 7 • 7 = 49

Four friends are sharing 6 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
write what mixed number you got

Answers

Answer:

1 1/2 cups

Step-by-step explanation:

Identifica la base y el exponente; entonces halla el valor
53
Base
Exponente

Answers

hmm, la base el 5. la exponente el 3?

If Q is the midpoint between P and R, PQ = 3x + 2 and QR = 7x - 18, find the value of x.

Answers

Answer:

x = 5

Step-by-step explanation:

Since Q is the midpoint of PR,

PQ = QR

=> 3x + 2 = 7x - 18

=> 3x - 7x = -18 - 2

=> -4x = -20

=> x = -20/-4

=> x = 5

Hope it helps :)

Please mark my answer as the brainliest

what is a triangle with 75° 40° 65° classify as?

Answers

Answer:

scalene triangle

Answer:

Acute scalene triangle

Step-by-step explanation:

An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.

Select an answer that corresponds to the correct sequence of steps to solve given equation 4y + 4 = 2y - 10

Answers

Answer:

y = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

4y + 4 = 2y - 10

Step 2: Solve for y

[Subtraction Property of Equality] Subtract 2y on both sides:                    2y + 4 = -10[Subtraction Property of Equality] Subtract 4 on both sides:                      2y = -14[Division Property of Equality] Divide 2 on both sides:                                y = -7

Answer:

[tex]y = - 7[/tex]

Step-by-step explanation:

1. Subtract 2y from both sides.

[tex]4y + 4 - 2y = - 10[/tex]

2. Simplify 4y + 4 - 2y to 2y + 4.

[tex]2y + 4 = - 10[/tex]

3. Subtract 4 from both sides.

[tex]2y = - 10 - 4[/tex]

4. Simplify -10 - 4 to -14.

[tex]2y = - 14[/tex]

5. Divide both sides by 2.

[tex]y = - \frac{14}{2} [/tex]

6. Simplify 14/2 to to 7.

[tex]y = - 7[/tex]

Therefor, the answer is, Y = -7

3a - 5 is an example of an? Expression or equation

Answers

3a-5 is an example of expression

I need help fast I appreciate it

Answers

25.4 is the answer ! Happy to help

use the box- and whisker plot to identify the five number summary ​

Answers

Answer:

Min = 11

Q1 = 13

Median = 15

Q3 = 17

Max = 22

Step-by-step explanation:

The five-number summary that is displayed by the box plot above are:

The minimum value: the data value at the start of the whisker to your left = 11

The Q1 value: the data value at the beginning of the edge of the rectangular box = 13

The Median value: the data value at the vertical line that divides the rectangular box into two = 15

Q3 value: the data value at the end of the rectangular box = 17

Max: 22

HELP IT IS 5th GRADE ONLY PLEASE I GIVE ALL STARS AND BRAINLY

Answers

Answer:

the height is 15

Step-by-step explanation:

Divide the area of the base and volume to get the height

Find the value of x in each case: (See picture)

Answers

Step-by-step explanation:

180-124=56°

180-56-2x-(180-6x)=0

180-56-2x-180+6x=0

-56+4x=0

4x=56

x=14°

........

2x=28

6x=84


Serves 4 people
200 g flour
4 Problem-solving Here is a recipe
for pancakes for four people.
Sophie makes pancakes for 14 people.
She has 800 g of flour, 1200 ml of
milk and 10 eggs.
Does she have enough ingredients?
350 ml milk
2 eggs​

Answers

Answer:

ghjug,yhfgugug kuul

Step-by-step explanation:

The point
P
is on the unit circle. If the y-coordinate of
P
is

3
5
, and
P
is in quadrant IV , then

Answers

If the y-coordinate of P is −3/5, and P  is in quadrant IV, then x = 4/5

How to find the coordinate of a unit circle?

In Trigonometry, the unit circle is a special circle that is centered on the origin of a coordinate grid, with a radius equal to 1 unit.

Now, we are told that the point P is on the unit circle and also we know that the length of the line from P to the origin is exactly 1 unit.

We're also given a y-coordinate as, y = -3/5.

The y-coordinate denotes the length of a perpendicular line from point P to the x-axis.

If x is the x-coordinate, y is the y-coordinate, and h is the hypotenuse length, we can set up the equation vis Pythagoras theorem as:

x² + y² = h²

Making x the subject gives;

x = √(h² – y²)

Plug in the relevant values h = 1 and y = -3/5 to get;

x = √(1)² – (-3/5)²

x = √1 – 9/25

x = √16/25

x = 4/5

We are told that P is in quadrant IV, which has negative values for both y and positive values for x and as such  x is positive.

Thus, x = 4/5

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I want to withdraw 400.00 for 9 years at 8%. How much do I need to deposit

Answers

Answer:

The principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.

Step-by-step explanation:

Given

Total accrued Amount A = 400.00 (Let say $)Time period t = 9 yearsInterest rate r = 8% = 0.08

To determine

Principle P = ?

Using the formula

P = A / (1 + rt)

substituting A = 400.00, t = 9 and r = 0.08 in the formula

P = 400 / ( 1 + (0.08 × 9))

P = $232.56

Therefore, the principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.

If a window is 10 in + 14 in + 4 in what is the area of the window

Answers

Answer:

10 x 14 x 4 = 560

Step-by-step explanation:

You have to multiple all the numbers to get the area of a surface. Dont forget to include your measurements

Hope this helps

Fred went to catch a minimun of 2 pounds of fish.He caught 5/16 pounds.He caught another fish that was 7/8 pounds.How many pounds of fish did he catch so far? What shoud be the minimun weight of the third fish so that he can catch at least 2 pounds of fish in total?

Answers

Answer:

12

Step-by-step explanation:

i think this because 7 + 5 = 12 but i'm not quite sure if this is right to be honest I haven't masterd this question before.

What is 10 1/3 in decimal form?

Answers

It will be 10.333333 or 10.33

Find the volume of prism

Answers

Answer: 343 ft^3

Step-by-step explanation:

To find the volume of a cube, the one side length is raised to the power of three whihc comes to 343 ft^3

NEED THIS ASAP
Find QA.
A.4
b.-4
c.16
d.28

Answers

Answer:

d. 28

Step-by-step explanation:

7x = 3x + 16

subtract 3x from both sides: 4x = 16

divide both sides by 4: x = 4

plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28

See attached picture

Answers

Answer:

[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x - h[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 8 - x^2[/tex]

Required

Determine: [tex]\frac{f(x+h)-f(x)}{h}[/tex]

First, we calculate f(x + h)

[tex]f(x) = 8 - x^2[/tex]

[tex]f(x+h) = 8 - (x+h)^2[/tex]

[tex]f(x+h) =8- x^2-2xh-h^2[/tex]

So, we have:

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8- x^2-2xh-h^2 - 8 + x^2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8 - 8 + x^2- x^2-2xh-h^2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{-2xh-h^2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x - h[/tex]

Substitute the given values into the formula, and solve for the unknown variable.
A = bh; A = 11, h = 11

Answers

Answer:

b=0

Step-by-step explanation:

A=bh

11=b11

11-11=b-11

0=b

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