in the general formulation of fourier's law (applicable to any geometry), what are the vector and scalar quantities? why is there a minus sign on the right-hand side of the equation?

The probability is 0.07777.

What does probability mean?

The number of desired outcomes divided by the total number of outcomes yields a probability.

We are attempting to determine the likelihood, out of 10, that the first chip will be white and the second won't be green while assuming that one chip is white and two are green.

1/10 of the time, the initial chip will be white. If the first chip is white, there is a 7/9 chance that the second chip will be a color other than green. The desired probability is therefore provided by:

Ten chips are present.

white 1

red 4

green 2

Blue 3

the likelihood of selecting the W chip is one in ten, or 0.10

There are now only 9 chips left (the first chip was not replaced)

Selecting a non-green chip has a probability of (9-2)/9 = 7/9 = 0.7777.

you multiply the two probabilities to obtain the overall probability at this point.

probability is 0.1 to 0.7776.

The probability is equal to 0.07777, which implies that it must be less than 0.1.

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The month they would have the same amount of money is 2 months.

The linear equation that can be used to represent the total amount of money saved by each person is

Total amount saved = amount started with + (amount deposited per month x number of months)

Amount saved by Tonya = $60 + $20m

Amount saved by Jull = $20 + $40m

When they save the same amount of money, the two two above equations would be equal:

60 + 20m = 20 + 40m

In order to determine the value of m, take the following steps:

60 - 20 = 40m - 20m

40 = 20m

m = 40 / 20

m = 2

Substitute for m in the equation that represents the total amount of money saved by Tonya:

$60 + $20(2)

$60 + $40 = $100

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Answer: x = 18

Step-by-step explanation: If you do 108 divided by 6, you get 18.

I'm not sure whether this is what you wanted for an answer, but here.

Answer:

[tex] \sf \: x = - 18[/tex]

Step-by-step explanation:

Given equation,

→ -108 = 6x

Now the value of x will be,

→ -108 = 6x

→ 6x = -108

→ x = -108/6

→ [ x = -18 ]

Hence, the value of x is -18.

Answer:

x=138

Step-by-step explanation:

The question is a high school Mathematics problem. It involves using inequalities to solve a practical problem about a shipping container's weight limit. The answer found was that a maximum of 138 crates can be added to the container.

In this Mathematics problem, we have a shipping container that can hold a maximum weight of 27500 kilograms and there are already shipments totaling 6800 kilograms inside. We want to find out how many 150-kilogram crates (let's call this number 'x') can be added to the container without exceeding the maximum allowable weight.

Firstly, we build an inequality. The total weight of the container should not exceed 27500 kilograms, so we have:

6800 (the weight of the already loaded shipments) + 150*x (the weight of the x crates) ≤ 27500

This simplifies to:

150*x ≤ 20700 (because 27500-6800=20700)

Finally, to solve the inequality for 'x', divide throughout by 150:

x ≤ 138 (because 20700/150=138)

So, 138 is the maximum number of 150-kilogram crates that can be loaded into the shipping container without violating the weight constraint.

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The average rate of change of a function is said to be a measure of how much the function changed per unit The average rate of change is -100/11

The average rate of change of a function is said to be a measure of how much the function changed per unit, on average, over that interval. It is also said to be derived from the slope of the straight line connecting the interval's endpoints on the function's graph

f(x) over an interval [x1,x2] is given by:

average rate of change = change in y/change in x

= f(x2) − f(x1) / x2−x1

With f(x) = 1/x over [1, 11]

average rate of change = f(11) − f(1) / 11−1

average rate of change = (1/11 − 1) / 10

average rate of change = (−10/11 / 10

average rate of change = −100/11

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The value of x would be [tex]x=\frac{12}{5}[/tex].

Calculus is a branch of mathematics that focuses on the study of change, or the rate of change of a given function. It involves the use of derivatives, integrals, and limits to solve problems in physics, engineering, economics, and other sciences. Calculus is used to describe the behavior of objects under changing conditions, such as velocity, acceleration, and force. It is also used to optimize systems and to solve equations involving functions of several variables. Calculus provides a powerful tool for analyzing and understanding the physical world.
             [tex]\frac{5}{6} x-4=-2[/tex]
Now, combining  [tex]\frac{5}{6}[/tex] and x we get

             [tex]\frac{5x}{6} -4=-2[/tex]

So,

           [tex]\frac{5x}{6} -4=-2\\\\\frac{5x}{6} =2\\\\x=\frac{12}{5}[/tex]

Hence, [tex]x=\frac{12}{5}[/tex].

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The Angle ∠MTU from the figure is 65°

The study of shapes and their measurements falls under the umbrella of geometry, a subfield of mathematics. It also emphasizes how the shapes are arranged in relation to one another and their spatial characteristics. We are aware that geometry is divided into 2D and 3D categories. All geometrical shapes are first created by the intersection of points, lines, rays, and plane surfaces. The distance measured between two lines is referred to as a "Angle" when the rays or lines converge at a single point.

Given,

∠STM=31X-3;

∠MTU=20X+5;

∠STU=155°;

From the figure we can say that

∠STU= ∠STM+∠MTU;

⇒ 155=31x-3+20x+5;

⇒155=51x+2;

⇒x=3;

Now substitute x in ∠MTU;

⇒∠MTU=20(3)+5=65°

The Angle ∠MTU from the figure is 65°

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15 inches is the width of each present.

Two or more expressions with an Equal sign is called as Equation.

Given that Lana elf measured the width of 9 Christmas presents.

The total width of all the presents was 135 inches.

If the presents were all the same width then we need to find the width of each present.

w=width.

As given, 9w=135

Divide both sides by 9

w=135/9

w=15

Hence, 15 inches is the width of each present.

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Answer:

Below

Step-by-step explanation:

Square area = s^2

    ds/dt = 3

Area = s^2      Find the derivative with respect to t of both sides

area/dt = 2s ds/dt

                    = 2 (10)(3)  = 60 in^2   per sec

If the 11th graders prefer hotdogs at a rate of 70%, the bar for 11th graders would show 70% percentage.

A segmented bar chart is a graphical representation of data that is divided into different segments. It is typically used to compare different categories of data. In this case, the bar chart is used to compare the lunch preference of different grades. The bar for 11th graders would show the percentage of 11th graders who prefer hotdogs. If 70% percentage of 11th graders prefer hotdogs, then the bar for 11th graders would show 70%. The bar chart can also show the percentage of 11th graders who prefer other lunch options, such as sandwiches, salads, etc. This information can help school administrators to better understand the lunch preferences of their students and make informed decisions about what types of food to serve for school lunch.

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Answer:

[tex] \sf \: \frac{29m - 15}{25} \: (or)1 \frac{4}{25}m - \frac{3}{5} [/tex]

Step-by-step explanation:

Given expression,

→ 1 2/5m - 3/5(2/5m + 1)

Simplifying the given expression,

→ 1 2/5m - 3/5(2/5m + 1)

→ (7/5)m - 3/5(2/5m + 1)

→ (7/5)m - (6/25)m - (3/5)

→ (35/25)m - (6/25)m - (3/5)

→ ((35 - 6)/25)m - (3/5)

→ (29/25)m - (3/5)

→ (29m - 15)/25

→ 1 4/25m - (3/5)

Hence, answer is 1 4/25m - (3/5).

The amount of fabric used on a headband and wristband for each player is $30.97.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

As per the given,

She uses 759.56 inches of fabric on headbands for 31 players and 3 coaches.

Per person = 759.56/(31 + 3) = $22.34

As per the given,

267.53 inches of fabric on wristbands for just the players.

Per player = 267.53/31 = $8.63

Total material of per player = $22.34 + $8.63

⇒ $30.97

Hence "Each player's wristband and headband cost $30.97 worth of cloth".

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Answer:

mandatory pay raises

Step-by-step explanation:

In a cubic polynomial function f is defined by f(x) = 4x³ + ax² + bx + k, where a, b, k, are constants and has a local minimum at x = -2 and a local maximum at x = 0, then values of a and b is 12 and 0 respectively. If integrate of f(x)dx = 32 from 0 to 1, then value of k is 27.

The given cubic polynomial function is

f(x) = 4x³ + ax² + bx + k

f'(x) = 12x² + 2ax + b

f''(x) = 24x + 2a

At local maximum f' = 0

f'(0) = 12×(0)² + 2a×(0) + b = 0

b = 0

At local minimum, f' = 0

That is f'(-2) = 0 and f''(-2) > 0

f'(-2) = 12×(-2)² + 2a×(-2) + b = 0

48 - 4a + b = 0

4a - b = 48  

a = 12

Therefore, f(x) =  4x³ + 12x² + k

Integrate f(x)dx = 32 from 0 to 1, that is

∫₀¹ f(x)dx = 32

∫₀¹ (4x³ + 12x² + k) dx = 32

[ x⁴ + 4x³ + kx ]₀¹ = 32

(1⁴ - 0⁴) + 4(1³ - 0³) + k(1 - 0) = 32

1 + 4 + k = 32

k = 27

-- The question is incomplete, answering to the question below--

"A cubic polynomial function f is defined by f(x) = 4x³ + ax² + bx + k, where a, b, k, are constants. The function f has a local minimum at x = -2 and a local maximum at x = 0.

A. Find the values of a and b

B. If you integrate f(x)dx = 32 from 0 to 1, what is the value of k?"

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Answer: y = 35x + 75

Step-by-step explanation:

Let x be the number of hours and y is the total cost

We will have the equation

y = 35x + 75

Answer:

12499

Step-by-step explanation:

because if it would be 12500 it would round up to 13000.

Answer:

2 terms

Step-by-step explanation:

An algebraic expression may be composed of one or more terms. A term of an expression may be a constant, a variable, a product of more than two variables (xy), or a product of a variable and a constant.

The extent to which the researcher can refer that findings with a sample from which it was drawn is referred to as generalizability.

Generalizability refers to the ability to extrapolate study findings from a sample to the entire population. It also refers to the capacity to apply findings from one study to a similar environment in a different investigation.

Generalizability and transferability are two research traits that are related. When considering generalizability in research, there are two features or dimensions to consider: generalizability as it relates to the specific population on which the research is conducted, and generalizability on a global scale.

Such studies will be easier to generalize if the researcher uses adequate sampling approaches, sample sizes, and exact processes.

In general, a study has strong generalizability when the findings apply to a wide range of persons or situations. The study has weak generalizability if the results can only be applied to a subset of the population or in a very specific circumstance.

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both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities. The resultant remains the same at 3.2 *10^4 Tm

It is possible for the line integral to go around the loop in either direction (clockwise or counterclockwise), the vector area dS to point in either of the two normal directions and Ienc, which is the net current passing through the surface S, to be positive in either direction—but both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities.

The resultant remains the same at 3.2 *10^4 Tm

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The volume of the crater is 64800000 m³

From the question, we are to determine the volume of the crater.

From the given information,

d = 2∛(V/0.3)

To determine the volume,

First, we will solve for V in the equation

d = 2∛(V/0.3)

Divide both sides by 2

d/2 = ∛(V/0.3)

Take the cube of both sides

(d/2)³ = V/0.3

Then,

V = 0.3(d/2)³

Now, substitute the value of the diameter

d = 1200m

Then,

V = 0.3(1200/2)³

V = 0.3(600)³

V = 64800000 m³

Hence, the volume is 64800000 m³

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Answer:

the number of positive real roots is one

the number of negative real roots is one

I not sure I was right

Step-by-step explanation:

[tex]x^{3} +5x^{2} -3x+7[/tex]

it changed the sign in the second to the third term，so,it was one root

[tex]-x^{3} +5x^{2} +3x+7[/tex]

Change the coefficients of odd items, and the signs of the first to second items change, so there is also a root.

Answer:

Step-by-step explanation:

Descartes' Rule of Signs tells us the maximum number of positive and negative real roots in a polynomial function.

Positive root case

[tex]\begin{aligned}p(x)&=(x)^3+5(x)^2-3(x)+7\\ &=+x^3+5x^2-3x+7\end{aligned}[/tex]

Check the signs of the coefficients. As there are 2 sign changes, the maximum possible number of positive roots is 2.

However, as some pairs of roots may be complex, count down by two's to find the complete list of the possible number of roots.

So there may be as many as 2 real roots or there might also be no real roots (zero).

Negative root case

[tex]\begin{aligned}p(-x)&=(-x)^3+5(-x)^2-3(-x)+7\\&=-x^3+5x^2+3x+7\end{aligned}[/tex]

Check the signs of the coefficients.  As there is one sign change, the maximum possible number of negative roots is 1.  We can't count down by two's since this would give us a negative number. Therefore, there is exactly 1 negative root.

Note:  There is one real negative root of the given function at x ≈ -5.74 and two complex roots at x = 0.37 + 1.04i  and  x = 0.37 - 1.04i.

Answer:

This because the root cancel each other

If Dave bought 5 packs of snacks, then the amount on Dave's account for snack last month should be $3.75.

Dave purchased 5 packs of snacks last month and the cost of each pack was $0.75. The total cost of the snacks was charged to Dave's account, so his account balance should reflect the total cost of the snacks. In this case, Dave purchased 5 packs of snacks, so the total cost would be $3.75 ($0.75 x 5). Therefore, Dave's account balance should show $3.75 for the snack purchases last month. This amount is the sum of the individual cost of each snack pack, multiplied by the number of packs Dave purchased. In this case, the amount on Dave's account for snack last month should be $3.75.

5 packs of snacks x $0.75 = $3.75

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Answer:

A(W)=500-19W

177W = 500 - 19W

177W + 19W = 500

196W = 500

W = 2.5

Therefore, Amny needs to save for 2.5 weeks

Step-by-step explanation:

Answer:

I) 70°

II) 120°

Step-by-step explanation:

In a regular polygon the sum of all its internal angles is equal to

180° × (n – 2)

where:

n = number of sides of the polygon

I do not have any information about you or your beliefs, experiences, or actions.. I do not have the ability to make judgments or assumptions about you or any other individual, you should provide more context as well as fix the category your question is listed under, you might have better results.

The combined cost per game ticket is $1.71

In this question we have been given Clayton and Iris purchase admission to a carnival plus a number of game tickets. Clayton purchased 10 game tickets and spend $19. 50.

Iris purchase 15 game tickets and spend $23. 25

We need to determine cost per game ticket.

The total cost of Clayton's game tickets is $19.50 for 10 tickets,

So, by unitary method the cost per ticket is:

= 19.5/10

= $1.95 per ticket.

The total cost of Iri's game tickets is $23.25 for 15 tickets

So, by unitary method the cost per ticket is:

= 23.25/15

= $1.55 per ticket.

The combined cost of all the game tickets is $19.50 + $23.25 = $42.75.

The total number of game tickets purchased is 10 tickets + 15 tickets = 25 tickets.

The combined cost per game ticket would be,

= 42.75 / 25

= $1.71 per ticket.

Therefore, the cost per game ticket = $1.71

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Answer:

D. SSA

Step-by-step explanation:

SSA doesn't work because it can produce 2 different triangles that wouldn't be congruent. The angle of the 3rd side without restriction could change, changing the size of the figure. The image attached can help you understand this.

The coordinates of J are (-2, -7) , hence the correct option is C.

What is translation?

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.The translated forms (or the image) seem to be an equivalent size because the original shape, indicating that they're congruent. They’ve merely shifted in one or additional directions.

Main body:

Given that, J’(-7, -3) is the image of J after translation (x, y) → (x - 5, y + 4)

We have, x-5 = -7

x = -2

And, y+4 = -3

y = -7

Hence, We get the coordinates of J are (-2, -7).

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Answer: 89.69

Step-by-step explanation:

-10.5 + m/ 11.57 = -2.748

First, we add 10.5 on both sides

m/ 11.57 = 7.752

Then we multiply both sides by 11.57

m = 89.69064, or we can simplify it be 89.69