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

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.

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:

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

Answers

3a-5 is an example of expression

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

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

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

Answers

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

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.


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:

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.

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]

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.

I need help fast I appreciate it

Answers

25.4 is the answer ! Happy to help

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:

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

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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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:

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

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

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 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

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.

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

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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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

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:

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

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

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

What is 10 1/3 in decimal form?

Answers

It will be 10.333333 or 10.33

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

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