A third candle, in the shape of a right circular cone, has a volume of 16 cubic inches and a radius of 1. 5 inches. What is the height, in inches, of the candle? Round your answer to the nearest tenth of an inch. ​

This is the expression for ∂z/∂u using the Chain Rule.

To find ∂z/∂u using the Chain Rule, we first need to find the partial derivative of z with respect to r and θ.
∂z/∂r = e^(r cos θ) cos θ
∂z/∂θ = -e^(r cos θ) r sin θ
Next, we can use the Chain Rule to find ∂z/∂u:
∂z/∂u = (∂z/∂r) * (∂r/∂u) + (∂z/∂θ) * (∂θ/∂u)
We know that r= 6 uv and θ = √(u^2+v^2 ), so we can substitute those values in:
∂z/∂u = (e^(r cos θ) cos θ) * (6v) + (-e^(r cos θ) r sin θ) * (u/√(u^2+v^2 ))
Simplifying this expression, we get:
∂z/∂u = 6ve^(6uv cos(√(u^2+v^2 )))cos(√(u^2+v^2 )) - (u/√(u^2+v^2 ))e^(6uv cos(√(u^2+v^2 )))r sin(√(u^2+v^2 ))
We have z = e^(r cos θ), r = 6uv, and θ = √(u^2 + v^2). We need to find ∂z/∂u.
Using the Chain Rule, we get:
∂z/∂u = (∂z/∂r)(∂r/∂u) + (∂z/∂θ)(∂θ/∂u)
First, let's find the partial derivatives of z:
∂z/∂r = e^(r cos θ) cos θ
∂z/∂θ = -e^(r cos θ) r sin θ
Now, find the partial derivatives of r and θ with respect to u:
∂r/∂u = 6v
∂θ/∂u = u / √(u^2 + v^2)
Now, substitute these partial derivatives back into the Chain Rule formula:
∂z/∂u = (e^(r cos θ) cos θ)(6v) + (-e^(r cos θ) r sin θ)(u / √(u^2 + v^2))
This is the expression for ∂z/∂u using the Chain Rule.

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Answer:

Angle 2 = 27 and Angle 1 = 135

Step-by-step explanation:

Let x = angle 2

Let 5x = angle 1

5x+x=162

6x=162

x=27

Angle 1  = 5(27)

Angle 1 = 135

Answer:

Angle 2 = 27 and Angle 1 = 135

Step-by-step explanation:

Let x = angle 2

Let 5x = angle 1

5x+x=162

6x=162

x=27

Angle 1  = 5(27)

Angle 1 = 135

Answer:

Step by Step Solution:

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    f*(x)-(2*x^2+5*x-17)=0  

STEP

1

:

Equation at the end of step 1

 fx -  ((2x2 +  5x) -  17)  = 0  

STEP

2

:

Equation at the end of step 2

 fx - 2x2 - 5x + 17  = 0  

STEP

3

:

Solving a Single Variable Equation

3.1     Solve   fx-2x2-5x+17  = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

Step-by-step explanation:

Answer:

6 zebras

Step-by-step explanation:

The expression for the perimeter of the wood deck, obtained from the formula for finding the perimeter of a rectangle is; 84 + 8·c + 8·w

The perimeter of a rectangle is found from the sum of twice the length and twice the width of the rectangle.

The dimensions of the rectangular swimming pool are;

Length = 26 feet

Width = 16 feet

The width of the concrete walkway = c

The width of the wooden deck = w

Therefore;

The length of the perimeter of the wooden deck = 26 + 2·c + 2·w

The width of the perimeter of the wooden deck = 16 + 2·c + 2·w

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1. Affordably presented by objects or environments, such as a ball providing the opportunity to practice grasping, throwing, and catching.
2. Individuals perceive these affordances and decide to engage with them, based on their current motor abilities and developmental stage.
3. Through interacting with affordances, individuals practice and develop their motor skills by attempting, refining, and mastering the actions associated with affordance.

Affordably is a term used to describe the relationship between an individual's perception of their environment and their ability to interact with it. In terms of motor development, affordances refer to the opportunities for movement that the environment presents. These opportunities can be both physical and social and can include objects to manipulate, spaces to explore, and people to interact with.

The concept of affordance is important for motor development because it provides children with opportunities to practice and refine their motor skills. As children explore their environment, they are able to perceive the various affordances that it presents, and they can use these affordances to develop their motor skills.

For example, a child may perceive that a box can be used as a stepping stool, and they may use this affordance to climb up onto a table. In doing so, they are developing their balance, coordination, and strength. Similarly, a child may perceive that a ball can be thrown, caught, and bounced, and they can use these affordances to develop their hand-eye coordination, spatial awareness, and timing.

Overall, affordance plays an important role in motor development by providing children with opportunities to explore and interact with their environment and to develop their motor skills in the process.
Affordance contributes to motor development by providing opportunities for individuals to interact with their environment, which in turn helps them develop and refine their motor skills. Affordance refers to the potential actions or uses that an object or environment provides to an individual. In the context of motor development, affordances can be seen as opportunities for practicing and enhancing motor abilities.


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The given equation is dydx=x2x and we have to solve the equation when y(4)=19. To solve this equation, we will use the integral of the given equation.

The integral of the equation is y=x3/3 + C, where C is a constant.
We know that y(4)=19, so we can plug in 4 for x and 19 for y to solve for C.
Therefore, C = 19 - (43/3) = 23/3.

So, the solution to the equation is y=x3/3 + 23/3.

To set up an integral for solving dy/dx = x^2 when y(4) = 19, we need to use the Fundamental Theorem of Calculus. This theorem states that if F(x) is an antiderivative of f(x), then the integral of f(x) from a to b is F(b) - F(a).

First, we need to find the antiderivative of x^2. The antiderivative of x^2 is (x^3)/3 + C, where C is a constant.
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To construct a confidence interval for the population proportion, we can use the formula:

CI = p ± z * sqrt((p(1 - p))/n)

where p is the sample proportion, z is the z-score corresponding to the desired confidence level, and n is the sample size.

Given:

Sample size (n) = 50

Number of phones with over 100 apps (x) = 13

Desired confidence level = 99%

z-score for a 99% confidence level (z0.005) = 2.576

First, calculate the sample proportion p:

p = x / n

p = 13 / 50

p = 0.26

Next, calculate the margin of error:

ME = z * sqrt((p(1 - p))/n)

ME = 2.576 * sqrt((0.26 * (1 - 0.26))/50)

ME ≈ 0.15

Finally, construct the confidence interval:

CI = p ± ME

CI = 0.26 ± 0.15

Therefore, the 99% confidence interval for the population proportion of phones with over 100 apps is:

Option B: 0.26 ± 0.15

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Karnaugh maps or K-maps are pictorial methods used to minimize Boolean expressions without having to use Boolean algebra theorems and equation manipulations. Option Q is the correct answer.

They provide a visual aid for determining the optimal grouping of terms. Karnaugh maps reduce logic functions more quickly and easily than Boolean algebra simplification. It is a practical tool to use for problems that require minimizing Boolean expressions. There are two common versions of Karnaugh maps: 2-D Karnaugh maps and 3-D Karnaugh maps. A Karnaugh map consists of squares in which each square represents a product term or minterm.

In a two-variable Karnaugh map, there are four squares, whereas in a three-variable Karnaugh map, there are eight squares. Karnaugh maps are read and interpreted from left to right and top to bottom. Terms that are adjacent or touching in the map can be combined to produce a simplified expression. K-maps can minimize up to 4 variables in a 2-D map and up to 6 variables in a 3-D map. Karnaugh maps help reduce the complexity of Boolean expressions and make it easier to implement logic circuits.

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Answer:

SAS, because vertical angles are congruent.

Answer:

$50

Step-by-step explanation:

In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax of 5% and would want to leave a 20% tip on the original $40. Including tax and tip, how much did Chloe's meal cost? $

Chole's meal cost

$40 + 5% × $40 + 20% × $40

= $40 + $2 + $8

= $50

It should be noted that a pantograph consists of four rods that are joined together in order to form a parallelogram with the joints varying in relation to the scale of reproduction.

In a pantograph, the mechanical assembly is based on the shape of a parallelogram.

It should be noted that the operation of a pantograph can be related to dilation as it has a fixed center and two points which are a drypoint that follows the contour of the original drawing, as well as a pen point that traces the reproduction in an enlarged or reduced form.

In order to enlarge a drawing, the index is positioned between the fixed center and the pen. Therefore, to reduce it, the pen is set between the fixed center and the index.

Lastly, to copy a drawing on the same scale, it can be deduced that the index and the pen are equidistant from the fixed center.

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Based solely on the mileage of the Eurovan, it is likely to be in above-average condition.

The condition of a vehicle is influenced by several factors, including mileage, maintenance history, usage, and overall care. While high mileage can generally indicate wear and tear on a vehicle, it does not necessarily imply poor condition. Eurovans are known for their durability and reliability, so even with 81,718 thousand miles, it is possible for the van to be in above-average condition.

To determine the true condition of the Eurovan, additional information beyond mileage is required. Factors such as regular maintenance, service records, and the overall care provided by the previous owner(s) play a crucial role in assessing the van's condition. If the van has been well-maintained, with routine servicing and repairs, it is more likely to be in above-average condition despite the higher mileage. Additionally, the overall usage of the van should be considered. If the majority of the mileage consists of long highway trips rather than stop-and-go city driving, it can contribute to less wear and tear on the engine and components. Furthermore, factors such as storage conditions, accident history, and the quality of the driving surface can also impact the condition of the Eurovan.

In summary, while the mileage of the Eurovan may initially suggest a below-average condition, it is essential to consider additional factors such as maintenance history, usage patterns, and overall care to make a more accurate assessment. Without this additional information, it is reasonable to assume that the Eurovan is likely to be in above-average condition based on its reputation and durability.

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Given a quadratic function y = 36 - x² , the intervals over which the function is increasing is: (-∞ , 0) and the intervals over which the function is decreasing is:  (0, ∞).

The standard form of a quadratic function is given by:

f(x) = ax² + bx + c

If a > 0, the graph of the function opens upward and the extreme point is the minimum one.

If a < 0, the graph of the function opens downward and the extreme point is the maximum one.

In this case, the function is: y = 36 - x²

Since the coefficient of the quadratic term is negative, or a < 0, then the graph opens downward and has a maximum point.

y = 36 - x²  is already in the form of perfect square, hence, we can immediately compute:

x-intercepts : (-6,0) and (6,0)

y-(intercept = maximum point = (0, 36)

Before the maximum point, the function is increasing, while after the maximum point, the function is decreasing.

Hence,

increasing interval = (-∞ , 0)

decreasing interval = (0, ∞)

Your question is incomplete, most likely, it was:

Find the open intervals over which the function is increasing or decreasing. write the answers in interval notation.

y = 36 - x²

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Answer:

1. 3.46410162

2. 7.07106781

3. 0.08641975

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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The correct answer is D. The flux of F across C is the sum of the components of F orthogonal or normal to C at each point of C.

The flux of a two-dimensional vector field F across a smooth oriented curve C represents the amount of the field that passes through the curve. In this context, the correct answer is: D. The flux of F across C is the sum of the components of F orthogonal or normal to C at each point of C. This means that the flux is calculated by considering the components of the vector field that are perpendicular to the curve at each point along C. By summing these orthogonal components, we can determine the overall quantity of the field that passes through the curve.

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The volume of a cube is given by the formula V = s^3, where s represents the length of one side of the cube. In this case, the length of one side is given as 5 feet.

To express the volume of the cube as a function of m, the number of minutes elapsed, we need to consider that the edge of the cube is increasing at a rate of 3 feet per minute.

Since the length of one side of the cube is increasing by 3 feet every minute, after m minutes, the length of one side will be 5 + 3m feet.

Therefore, the volume of the cube, as a function of m, can be expressed as:

V(m) = (5 + 3m)^3

To simplify this expression, we can expand the cube:

V(m) = (5 + 3m)(5 + 3m)(5 + 3m)

Using the distributive property, we can multiply each term:

V(m) = (25 + 15m + 15m + 9m^2)(5 + 3m)

Simplifying further:

V(m) = (25 + 30m + 9m^2)(5 + 3m)

Now, we can multiply each term:

V(m) = 25(5 + 3m) + 30m(5 + 3m) + 9m^2(5 + 3m)

V(m) = 125 + 75m + 150m + 90m^2 + 45m^2 + 27m^3

Combining like terms:

V(m) = 125 + 225m + 135m^2 + 27m^3

So, the volume of the cube, as a function of m, is V(m) = 27m^3 + 135m^2 + 225m + 125.

This function represents how the volume of the cube changes as time passes, considering the increasing length of one side at a rate of 3 feet per minute.

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that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

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Answer:

Step-by-step explanation:

volume=area of side triangle×distsnce between triangles

=1/2×20×8×5

=400 in³

Answer:

the answer would be 400

Step-by-step explanation:

20×8×5×.5

The following code performs the operation of swapping the upper and lower halves of register x3 and storing the result into register x2. The correct answer is option b.

The code performs the following steps:

Therefore, the correct answer is b.

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The correct check digit for the UPC code 6-73419-23216- is "3".

The check digit is used to verify the accuracy of the UPC code when it's scanned. It's the last digit of a UPC code and is calculated using a formula based on the first 11 digits.

The formula involves adding up the digits in the odd-numbered positions and multiplying the sum by three, then adding up the digits in the even-numbered positions, and subtracting the second sum from the first sum.

The check digit is then calculated by taking the difference and finding the smallest number that, when added to the difference, is a multiple of 10. The result of this calculation is the check digit.

In this case, the correct check digit is "3".

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Answer:

dk

Step-by-step explanation:

Answer:

c=48

Step-by-step explanation:

c/6=8

(c/6)*6=8*6

c=48

48/6=8

the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

The given partial differential equation is:

au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)

a) BCs (Boundary Conditions):

We have u(0, t) = 0 and u(π, t) = 0.

IC (Initial Condition):

We have u(x, 0) = x.

To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.

The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:

X(x) * T'(t) = 4 * X''(x) * T(t) / a

Dividing both sides by X(x) * T(t) gives:

T'(t) / T(t) = 4 * X''(x) / (a * X(x))

Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².

T'(t) / T(t) = -λ²

X''(x) / X(x) = -λ² * (a / 4)

Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.

Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.

Now, applying the boundary conditions:

1) u(0, t) = 0:

Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.

2) u(π, t) = 0:

Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.

Now, let's find the expression for u(x, t) using the initial condition:

u(x, 0) = X(x) * T(0) = x

Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:

C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x

This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.

Therefore, the solution for the initial value problem is:

u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)

where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.

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Answer:7

Step-by-step explanation:

The number of balloons on each package will be 15

From the information, Jason is a party planner. In 124 packages, he has a total of 1,860 balloons and each package has the same number.

Therefore, the number of balloons on each package will be:

= 1860 / 124

= 15

When a plane has to travel 2,800 miles at an average speed of 560 miles per hour. The number of hours used will be:

= 2800/560

= 5

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Step-by-step explanation:

Because you're trying to prove the value of X, you work backwards. here's what you do

When working backwards, PEMDAS becomes SADMEP

First, add 14 to 43 (57).

Then, divide 57 by 3 to get 19.

x = 19!

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 14 to both sides of the equation:

3x - 14 (+14) = 43 (+14)

3x = 43 + 14

3x = 57

Next, divide 3 from both sides of the equation:

(3x)/3 = (57)/3

x = 57/3

x = 19

~

Proof: Plug in 19 for x in the equation for x:

3(19) - 14 = 43

First, multiply:

(3 * 19) - 14 = 43

(57) - 14 = 43

Next, subtract:

57 - 14 = 43

43 = 43 (True).

~