A right rectangular prism has length 10 in. And width 8 in. The surface area of the prism is 376 in2. What equation can be used to find the height in inches?

The differential equation

\(M(x,y) \, dx + N(x,y) \, dy = 0\)

is considered exact if \(M_y = N_x\) (where subscripts denote partial derivatives). If it is exact, then its general solution is an implicit function \(f(x,y)=C\) such that \(f_x=M\) and \(f_y=N\).

We have

\(M = \tan(x) - \sin(x) \sin(y) \implies M_y = -\sin(x) \cos(y)\)

\(N = \cos(x) \cos(y) \implies N_x = -\sin(x) \cos(y)\)

and \(M_y=N_x\), so the equation is indeed exact.

Now, the solution \(f\) satisfies

\(f_x = \tan(x) - \sin(x) \sin(y)\)

Integrating with respect to \(x\), we get

\(\displaystyle \int f_x \, dx = \int (\tan(x) - \sin(x) \sin(y)) \, dx\)

\(\implies f(x,y) = -\ln|\cos(x)| + \cos(x) \sin(y) + g(y)\)

and differentiating with respect to \(y\), we get

\(f_y = \cos(x) \cos(y) = \cos(x) \cos(y) + \dfrac{dg}{dy}\)

\(\implies \dfrac{dg}{dy} = 0 \implies g(y) = C\)

Then the general solution to the exact equation is

\(f(x,y) = \boxed{-\ln|\cos(x)| + \cos(x) \sin(y) = C}\)

Answer:

i tride so hard i dont know but i wish you luck but i think its A

Step-by-step explanation:

Answer:

Its not A thats all i know

Step-by-step explanation:

Answer:

Step-by-step explanation:

m,sdkfhdlfksjdhfksjhfkshfsfs

here

B

five out of of the twenty-five top-grossing films of 2017 in the united states were part of a movie franchise

If you were to attribute this film, that means you'd say that (something) caused the success of the movie Rocky. This question is basically asking what do you think made this movie a big hit? Personally, I'd say it's because of how the storyline and plot turned out. It's very intriguing and it doesn't just make the movie about boxing. The film adds some love between the protagonist and some other character, and not only that, but the movie teaches you something. Because Rocky lost to Apollo, Rocky didn't care. At least he still had Adrian. So, the movie teaches you that, even if you do lose, at least you still have something and/or someone with you.

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Probability of having at least one boy and at least one girl is 0.75

There are two possibilities of a child, it could be a girl or a boy.

Since, the family plans to have 3 children.

∴ Total outcomes are = 2³

Total outcomes are = 8 outcomes

The total possible outcomes are: BBB, BBG, BGB, GBB, GBG, BGG, GGB, GGG

So, there are 8 possible outcomes.

Now, probability of having at least one boy and at least one girl= 1 - (Probability of having all girls, Probability of having all boys)

Probability of having all girls i.e., GGG = 1/8

Probability of having all boys i.e., BBB = 1/8

P(at least one boy and at least one girl) = 1 - (1/8 + 1/8)

= 1 - (2/8)

= 6/8

= 0.75

∴ P(at least one boy and at least one girl) = 0.75

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Answer:

3/16

Step-by-step explanation:

Answer:

Es el Pentágono creo amigo nose si sera

Answer:

2.0588235294118

Step-by-step explanation:

I would just put 2.05

a) If M is a 2 × 2 matrix with det M = −2, we have:

det((3M)-1) = (det(3M))⁻¹ = (3² * det(M))⁻¹ = (9 * (-2))⁻¹ = (-18)⁻¹ = -1/18.

det(3M-1) = 3² * det(M-1) = 9 * det(M⁻¹). Since M is a 2 × 2 matrix, we can calculate M⁻¹ as follows:

M⁻¹ = (1/det(M)) * adj(M),

where adj(M) represents the adjugate of M.

Since M is a 2 × 2 matrix, we have:

M⁻¹ = (1/(-2)) * adj(M).

To find the determinant of M⁻¹, we use the fact that det(AB) = det(A) * det(B):

det(M⁻¹) = (1/(-2))² * det(adj(M)) = (1/4) * det(adj(M)).

We don't have enough information to determine the value of det(adj(M)) without further details about matrix M.

b) If A is a 5 × 5 matrix and det((2A)-1) = 1/8, we have:

det(A⁻¹) = (det(2A))⁻¹ = (2⁵ * det(A))⁻¹ = 32⁻¹ * det(A)⁻¹ = 1/8.

From this, we can conclude that det(A)⁻¹ = 1/8.

To find det(A), we take the reciprocal of both sides:

1/(det(A)⁻¹) = 1/(1/8),

which simplifies to:

det(A) = 8.

Therefore, the determinant of matrix A is 8.

c) Since we don't have specific information about the matrices A and B, we cannot determine det A and det B based solely on the given equations.

d) To find det(ATB²A⁻¹C³A²BT), we can use the properties of determinants:

det(ATB²A⁻¹C³A²BT) = det(A) * det(T) * det(B²) * det(A⁻¹) * det(C³) * det(A²) * det(B) * det(T).

Using the given determinants:

det(A) = -3,

det(B) = 2,

det(C) = -1.

We substitute these values into the expression:

det(ATB²A⁻¹C³A²BT) = (-3) * det(T) * (2²) * (1/(-3)) * (-1)³ * (-3)² * 2 * det(T).

Simplifying the expression:

det(ATB²A⁻¹C³A²BT) = -3 * det(T) * 4 * (-1/3) * (-1)³ * 9 * 2 * det(T) = 216 * det(T)².

Therefore, the determinant of the given expression is 216 times the square of the determinant of matrix T.

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So, the solutions to the equation are given by x = 2 - iy, where x and y can take any real values.

To solve the equation -1/(x + iy)^6 = 64, we can start by taking the reciprocal of both sides to get rid of the fraction:

(x + iy)^6 = -1/64

Next, we can rewrite -1/64 as -1/2^6:

(x + iy)^6 = -1/2^6

Now, let's express -1/2^6 in polar form:

-1/2^6 = -1/(2^6 * e^(i * 0))

We can rewrite it as:

-1/2^6 = -1/(2^6 * e^(i * 2π * 0))

Using De Moivre's formula, which states that (cosθ + isinθ)^n = cos(nθ) + isin(nθ), we can raise both sides of the equation to the power of 1/6:

(x + iy) = (2^6 * e^(i * 2π * 0))^(1/6)

Simplifying further:

(x + iy) = (2^6)^(1/6) * e^((i * 2π * 0) / 6)

(x + iy) = 2 * e^(0)

(x + iy) = 2 * (cos(0) + i * sin(0))

(x + iy) = 2 * (1 + i * 0)

(x + iy) = 2

From here, we can equate the real and imaginary parts:

x + iy = 2

x = 2 - iy

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Answer:

Right rectangular prism

Solve for surface area

A=100

l Length

7

w Width

4

h Height

2

Solution

A=2(wl+hl+hw)=2·(4·7+2·7+2·4)=100

There are 20! number of ways for everyone to do this so that at the end of the move, each seat is taken by exactly one person.

People are seated in a 2 by 10 rectangle grid. All 20 persons stand up from their seats and relocate to an orthogonally neighboring one upon the blowing of a whistle.

Now, we have to find the number of possible ways in which each seat is taken up by exactly one person after the move.

As the number of people is 20 and 20 seats are to filled exactly once.

So, the number of ways = 20!

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Answer:

If the core of the sun is ~15 million kelvin why do we say the blackbody temperature of the sun is ~5800 kelvin?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

3y - 4 + 2y

0 = 3y - 4 + 2y

4 + 0 = 3y - 2y

4 = y

y = 4

is this what you want ?

Answer:

y=-4, one solution.

Step-by-step explanation:

3y=-4+2y

3y-2y=-4

y=-4

We can write a computer program to generate all possible combinations of five elements of the set S and compute M for each combination, where M is a maximum and S is the set of work booths

As Janet drives through several toll booths on her way home from work, we need to find out if there are a couple of these toll booths that are less than 10 miles away. Let the toll booths be represented by real numbers. Let the set of toll booths be S = {a, b, c, d, e, f} where a < b < c < d < e < f.

For example, a is the distance from the starting point to the first travel cabin, b is the distance between the first and second travel cabin, and so on. We can represent the distance between any two toll booths as the difference of two numbers in the set S. Let's find the difference between the positions of the toll booths by subtracting them.

The possible differences between two toll booths are given by the set D = {b - a, c - b, d - c, e - d, f - e}. We have to check if any difference is less than 10 miles or not. To check whether any difference is less than 10 miles or not, let's take the largest difference and subtract the smallest difference.

This gives us the maximum difference between two transport cabins, which we can then compare to 10. Let M be the maximum difference and m be the minimum difference.

M = max{b - a, c - b, d - c, e - d, f - e}

m = min{b - a, c - b, d - c, e - d, f - e}

So M - m will be less than 10 miles if and only if M < 10 + m. Now, since S has six elements, there are five differences, and we need to find the minimum value of M for all possible five-element options in S.

To do this, we can write a computer program to generate all possible combinations of five elements of the set S and calculate M for each combination. The minimum value of M is the answer. Therefore, we can confirm if there are a couple of these travel cabins that are less than 10 miles apart or not.

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It is generally not possible to obtain a very strong correlation just by chance when there is no relationship between two variables.

Correlation measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, with 0 indicating no correlation. In statistical analysis, correlation is based on analyzing the data and calculating the correlation coefficient. If there is no true relationship between the variables, it is unlikely to obtain a very strong correlation solely by chance. The correlation coefficient reflects the extent to which the variables move together in a predictable pattern. Random chance would not consistently produce a strong correlation, as it requires a genuine relationship between the variables to generate a high correlation coefficient.

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Graphically, the two lines will appear as two distinct lines running parallel to each other, never intersecting.

Mathematical statements known as algebraic rules connect two variables and are expressed as equations. One of the algebraic constants is area = length x width. As a result of a set of factors, you can also develop your own rule.

To solve the system of equations:

3x - 2y = 8

6x - 4y = 12

We can simplify the second equation by dividing both sides by 2:

3x - 2y = 8

3x - 2y = 6

Now we can see that the two equations represent two parallel lines with the same slope (-3/2) and different y-intercepts (4 and 3).

Since the two lines are parallel, they will never intersect and therefore there is no solution to the system of equations.

Graphically, the two lines will appear as two distinct lines running parallel to each other, never intersecting.

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A person's cardiovascular fitness, age, weight, gender, and the severity of the activity performed may all play a role in how fast a person attains steady-state and fully recovers. When an individual is fit, they tend to have a lower resting heart rate than an unfit person. Furthermore, a fit person's heart rate is less likely to climb to high levels during activity, and their muscles are more efficient, requiring less oxygen to function. Finally, fit people tend to have better cardiovascular health and are more capable of removing waste products from their muscles, allowing for a quicker recovery time.

RQ stands for respiratory quotient and represents the ratio of carbon dioxide produced to oxygen consumed. During exercise, RQ rises because the body is using more carbohydrates than fats to generate energy, which increases carbon dioxide production. During the recovery period, RQ decreases as the body switches back to using fat as its primary energy source and oxygen consumption increases.The graph/plot of RQ as a function of time during rest, physical activity, and recovery phases should show a steady increase during physical activity and a decline during recovery. This variation makes sense because during exercise, the body's demand for energy increases, and RQ increases as a result. Conversely, during recovery, the body switches back to using fat as its primary energy source, resulting in a decrease in RQ.

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No, not all square numbers have an odd number of factors. In fact, square numbers can have either an odd or an even number of factors, depending on their prime factorization.

A square number is a number that can be expressed as the product of an integer multiplied by itself. For example, 4 is a square number because it can be written as 2 * 2.

When we analyze the factors of a square number, we find that each factor has a corresponding pair that multiplies to give the square number. For instance, the factors of 4 are 1, 2, and 4. We can see that the pairs are (1, 4) and (2, 2). Thus, 4 has an even number of factors.

However, there are square numbers that have an odd number of factors. Consider the square number 9, which is equal to 3 * 3. The factors of 9 are 1, 3, and 9. In this case, 9 has an odd number of factors.

In conclusion, while some square numbers have an odd number of factors (like 9), others have an even number of factors (like 4). The determining factor is the prime factorization of the square number.

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Answer:

D)

Step-by-step explanation:

The volume of the canister is 339.1 cubic inches.

The volume of a cylinder is calculated by using the formula V=πr²h, where r is the radius of the cylinder and h is the height of the cylinder.

The radius of the cylinder is half of the diameter, so the radius of the canister is 3 inches.

Using the formula, we can calculate the volume of the canister as follows:

V = π×3²×12

V = 108×3.14

V = 339.1 cubic inches

Therefore, the volume of the canister is 339.1 cubic inches.

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Answer:

Step-by-step explanation:

hello :

put  a=-3    and  n=4   in :  3n2 – 2an

you have : 3(4)² – 2(-3)(4) =3(16)+6(4) =48+24 = 72

The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

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Answer:

The answer is b. -0.5

Step-by-step explanation:

Answer:

the answer is b. -0.5 i believe

Answer: 37. 7in

12*3.14= 37.68

Rounded= 37.7 inches

To calculate the probability of drawing a red marble followed by a blue marble with replacement from the given bag containing 6 green marbles, 2 blue marbles, and 4 red marbles.

we need to consider the individual probabilities of each draw and multiply them together.

The first paragraph provides a concise summary of the answer, while the second paragraph explains the solution in more detail.

The probability of drawing a red marble followed by a blue marble with replacement can be calculated by multiplying the probability of drawing a red marble and the probability of drawing a blue marble.

The probability of drawing a red marble on the first draw is 4/(6+2+4) = 4/12 = 1/3, as there are 4 red marbles out of a total of 12 marbles. Since the draws are made with replacement, the probabilities remain the same for each draw.

Similarly, the probability of drawing a blue marble on the second draw is 2/12 = 1/6, as there are 2 blue marbles out of 12 marbles.

To calculate the probability of both events occurring consecutively, we multiply the probabilities together: (1/3) * (1/6) = 1/18.

Therefore, the probability of drawing a red marble followed by a blue marble with replacement from the given bag is 1/18.

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Using various laws of integers we can say that if a is a positive integer and b is a negative integer, statement A is False, B is True, C s True and D is false.

Here we are given that a is a positive integer while b is a negative integer.

A. The statement says that the difference (a - b) could be negative.

According to the subtraction law of integers, when a negative number is subtracted from a positive number, that is we have

2 - (-3)

Here the 2 minus signs will make a positive to give

2 + 3 = 5

Hence (a - b) will be a positive number since b is negative.

B.

The difference (b - a) cannot be positive.

Since a is positive and b is negative, according to the above example we will get

-3 - 2 = -5

Hence it is true that the difference (b - a) can't be positive.

C.

The sum (a + b) could be positive.

Here, we can see that a is a positive number while b is a negative number. In the light of above example, we will get

2 - 3 = -1

Here the sum is nagative as 3 > 2, but if we had

3 + (-2), then the answer would have been 1. Hence (a + b) can be positive. Hence the statement is true.

D.

The sum (b + a) must be negative.

Integers have commutative properties. Hence a + b = b + a

Hence if a + b can be positive, then b + a can also be positive.

Hence the statement is False.

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