If y varies directly as the square root of r and inversely as z cubed, and y = 2.5 when * = 16 and z = 2, find z when x is 64 and y is 0.625.

A. 4
B. 8
C. 16
D. 64

To find dy/dx, we need to use the product rule of differentiation.

Therefore, we differentiate the first term, which is x, with respect to x, and we differentiate the second term, which is

(9 - x^2)^(1/2), with respect to x, and then we multiply both.

Using the product rule, we have:

\(dy/dx = d/dx [x(9 - x^2)^(1/2)]dy/dx = [d/dx (x)](9 - x^2)^(1/2) + x(d/dx (9 - x^2)^(1/2))dy/dx = (9 - x^2)^(1/2) + x(1/2)(9 - x^2)^(-1/2)(-2x)dy/dx = (9 - x^2)^(1/2) - 2x^2(9 - x^2)^(-1/2)\)

Thus, the differential of the given function is:\(d y=\frac{-2 x^{2}+9}{\left(-x^{2}-9\right)^{\frac{1}{2}}}\)

Therefore, the differential of the given function is \(d y=(-2x^2 + 9)/(-x^2 - 9)^(1/2)\).

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Answer:

16.26 ...................

If 3/5 of the total bill was for labor costs and the labor cost was $79.50, we can calculate the total bill (b) by solving the equation (3/5)b = $79.50.

Let's solve the equation to find the total bill (b). We are given that 3/5 of the total bill was for labor costs, which is represented as (3/5)b. We are also given that the labor cost was $79.50.

Using the equation (3/5)b = $79.50, we can solve for b by isolating the variable. To do this, we multiply both sides of the equation by the reciprocal of 3/5, which is 5/3:

(3/5)b * (5/3) = $79.50 * (5/3)

The 5s cancel out, and we are left with:

b = $79.50 * (5/3)

Evaluating the right side of the equation:

b ≈ $132.50

Therefore, the total bill for the repairs on Alonso's car is approximately $132.50.

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Answer:

C

Step-by-step explanation:

9514 1404 393

Answer:

  4(2x +5y)

Step-by-step explanation:

The variables x and y have no common factors. The coefficients 8 and 20 have a common factor of 4. So, the expression can be written ...

  4(2x +5y)

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.



The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.



Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

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Answer:

X=2, please mark me brainliest

Step-by-step explanation:

−5(4x−2)=−2(3+6x)

(−5)(4x)+(−5)(−2)=(−2)(3)+(−2)(6x)(Distribute)

−20x+10=−6+−12x

−20x+10=−12x−6

Step 2: Add 12x to both sides.

−20x+10+12x=−12x−6+12x

−8x+10=−6

Step 3: Subtract 10 from both sides.

−8x+10−10=−6−10

−8x=−16

Step 4: Divide both sides by -8.

−8x

−8

=

−16

−8

x=2

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question we have

\(m = \frac{ - 3 - - 12}{15 - 6} = \frac{ - 3 + 12}{9} = \frac{9}{9} = 1 \\ \)

We have the final answer as

Hope this helps you

The Laplace equation is defined as Au=0. The aim is to solve analytically Laplace's equation in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.

Let's consider the Laplace equation as followsAu = ∂²u/∂x² + ∂²u/∂y²= 0Given boundary conditions areu(x, 0) = 0u(0, y) = 0u(x, 1) = u(1, y) = 1The solution of the Laplace equation is as followsu(x,y) = X(x).Y(y)Let's find the boundary conditionsu(x, 0) = 0

Let's substitute the value of Y(0) in the solution to get X(x).Y(0) = 0, which implies Y(0) = 0Similarly, u(0, y) = 0 => X(0).Y(y) = 0 => X(0) = 0Now, let's find the remaining boundary conditionsu(x, 1) = 1X(x).Y(1) = 1 => Y(1) = 1/X(x)u(1, y) = 1 => X(1).Y(y) = 1 => X(1) = 1/Y(y)Now, let's put the values of X(0) and X(1) in the below equationX(0) = 0, X(1) = 1/Y(y)X(x) = x

Now, let's put the values of Y(0) and Y(1) in the below equationY(0) = 0, Y(1) = 1/X(x)Y(y) = sin(n.π.y) /sinh(n.π)Therefore, the solution of Laplace's equation u(x, y) is as follows;u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π)Answer:Therefore, the solution of Laplace's equation u(x, y) is u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π).

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No, AB is not parallel to CD. No, AB is not parallel to CD. No, AB is not parallel to CD.

To determine if two lines are parallel, we need to compare their slopes. If the slopes are equal, then the lines are parallel; otherwise, they are not.

For the points A (-5, 12) and B (7, 18), the slope of AB can be calculated as (18 - 12) / (7 - (-5)) = 6 / 12 = 0.5.

For the points C (0, -4) and D (-8, 0), the slope of CD can be calculated as (0 - (-4)) / (-8 - 0) = 4 / -8 = -0.5.

Since the slopes of AB and CD are not equal (0.5 ≠ -0.5), AB is not parallel to CD.

For the points A (-6, 2) and B (4, 6), the slope of AB can be calculated as (6 - 2) / (4 - (-6)) = 4 / 10 = 0.4.

For the points C (7, -4) and D (-3, -8), the slope of CD can be calculated as (-8 - (-4)) / (-3 - 7) = -4 / -10 = 0.4.

Since the slopes of AB and CD are equal (0.4 = 0.4), AB is parallel to CD.

For the points A (-6, 2) and B (4, 6), the slope of AB can be calculated as (6 - 2) / (4 - (-6)) = 4 / 10 = 0.4.

For the points C (7, -4) and D (-4, -8), the slope of CD can be calculated as (-8 - (-4)) / (-4 - 7) = -4 / -11 = 0.364.

Since the slopes of AB and CD are not equal (0.4 ≠ 0.364), AB is not parallel to CD.

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Check the picture below.

Answer:

g

Step-by-step explanation:

Answer:

The size of the angle is 66.4 degrees

Step-by-step explanation:

The solution is in the image

Answer:

27

Step-by-step explanation:

bhdhdhhdhddfdfffjdudhfjf 27

Answer:

B. 7

Step-by-step explanation:

heart shaped straws have 3 for orange and 4 for grape.

3+4 =7

The mean absolute percent error (MAPE) is 25%.

The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.

To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:

MAPE = (MAD / Total Demand) * 100

     = (25 / 1,000) * 100

     = 2.5%

Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.

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Answer:

whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

So the answer ur question is 4/49

Step-by-step explanation:

Hope it help 4u

Answer:

Step-by-step explanation:

Answer:

Integers: 32,33,34,35

Step-by-step explanation:

Consecutive means back-to-back, with a difference of 1

Therefore this can be represented with the following equation (where x is the first number), and we can set this equal to the sum

\(x+(x+1)+(x+2)+(x+3)=134\\4x+6=134\\4x=128\\x=32\)

Therefore since x = 32, all four integers are:

\(32,33,34,35\)

If we check this, we can see that their sum equals to 134

\(32+33+34+35 = 134\)

Hope this helps!

Answer:

They're not promise

Step-by-step explanation:

I did it on the calculator

I hope this helps youuu

Have a good day <3

Answer:

36

Step-by-step explanation:

12 x 3 = 36 (inverse operation)

Answer:

36

Step-by-step explanation:

Answer:

\(110\)°

Step-by-step explanation:

\(A+B+C=180\)

\(48+28+C= 180\)

\(70+C=180\)

subtract \(70\) form both sides

\(C= 180\)

plz mark me brainliest. :0

Answer:

that would be

x+2x+42=180

3x+42=180

-42. -42

3x=138

______

3

x=46

Answer:

Step-by-step explanation:

The proportion of Year 13 pupils in the football club is 12/35. To convert this to a percentage, we need to multiply it by 100.

12/35 * 100 = 34.285714285714285 (approximately 34.3% when rounded to 1 decimal place)

Answer:

\( \frac{13}{35} \times \frac{100}{100} = 37.14\%\)

Answer:

its B

Step-by-step explanation:

Because It says how many milescan he walk not how many Did he walk

Answer:

It is 10 x greater

Step-by-step explanation:

The leftmost 2 is 200,000 and the other 2 is 20,000.

20,000 (other 2) x 10 = 200,000 (leftmost 2)

Answer:

Step-by-step explanation:

im dimb so 26876ths place

To find (fog)(x) and (gof)(x), we need to compute the composition of the two functions f(x) and g(x). (fog)(x) = 8x + 7 and (gof)(x) = 8x.

The composition (fog)(x) represents applying the function g(x) first and then applying the function f(x) to the result. On the other hand, (gof)(x) represents applying the function f(x) first and then applying the function g(x) to the result.

For (fog)(x), we substitute g(x) into f(x), giving us (fog)(x) = f(g(x)). Plugging in g(x) = (x + 1) into f(x), we have (fog)(x) = f(g(x)) = f(x + 1) = 8(x + 1) - 1 = 8x + 8 - 1 = 8x + 7.

For (gof)(x), we substitute f(x) into g(x), giving us (gof)(x) = g(f(x)). Plugging in f(x) = 8x - 1 into g(x), we have (gof)(x) = g(f(x)) = g(8x - 1) = (8x - 1) + 1 = 8x.

Comparing (fog)(x) = 8x + 7 and (gof)(x) = 8x, we can see that they are not equal. Therefore, (fog)(x) is not equal to (gof)(x).

In summary, (fog)(x) = 8x + 7 and (gof)(x) = 8x.


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Here, if the rectangular pyramid is cut perpendicular to its base and through a vertex.

Then, the shape of the view of the cross-section will also be rectangular.

Hence, the option b is correct.

The weighted average cost per unit under the perpetual inventory system is $55.76.

To calculate the weighted average cost flow method under the perpetual inventory system, follow these steps:

1. Calculate the total cost of inventory on hand at the beginning of the year: 10,000 units * $75.00 = $750,000.

2. Calculate the cost of goods sold for each sale:
- For the first sale on March 18, the cost of goods sold is 8,000 units * $75.00 = $600,000.
- For the second sale on August 9, the cost of goods sold is 15,000 units * $77.50 = $1,162,500.

3. Calculate the total cost of purchases during the year:
- The purchase on May 2 is 18,000 units * $77.50 = $1,395,000.
- The purchase on October 20 is 7,000 units * $80.25 = $561,750.
- The total cost of purchases is $1,395,000 + $561,750 = $1,956,750.

4. Calculate the total number of units available for sale during the year: 10,000 units + 18,000 units + 7,000 units = 35,000 units.

5. Calculate the weighted average cost per unit: $1,956,750 ÷ 35,000 units = $55.76 per unit.

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Answer:

8

Step-by-step explanation:

To find a slope for a line that is perpendicular to another line, you simply need to take the negative reciprocal of the the original line's slope.  In this case we are already given the slope as the coefficient to x: -1/8.  The negative reciprocal of that is 8/1, or just 8.

We can write {x} as follows -

{x} = (4/3) - (c/3)

An function in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). Example -

y = f{x} = ax + b

Given is a equation as -

3x + c = 4

The given equation is -

3x + c = 4

3x = 4 - c

x = (4 - c)/3

x = (4/3) - (c/3)

Therefore, we can write {x} as follows -

{x} = (4/3) - (c/3).

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