I'LL GIVE BRAINLIEST!! ANSWER THE QUESTION!!!

Answer:

It will take 60 hours for 2 elephants to set up the tent.

Step-by-step explanation:

Represent set-up time by T and the number of elephants by E.  T varies inversely with E:

T  = k/E, or TE = k

If 4 elephants can set up a tent in 30 hours, then 30(4) = k, and

T = 120/E

Now let E = 2.  We get T = 120/2, or 60

It will take 60 hours for 2 elephants to set up the tent.

To determine the third derivative of the function f(x) = 1/(3 - 2x)², we need to differentiate the function three times with respect to x.

The given function can be written as f(x) = (3 - 2x)^(-2). To find the third derivative, we differentiate the function three times.

First derivative:

\(f'(x) = -2(3 - 2x)^{-3} * (-2) = 4(3 - 2x)^{-3}\)

Second derivative:

\(f''(x) = -3 * 4(3 - 2x)^{-4} * (-2) = 24(3 - 2x)^{-4}\)

Third derivative:

\(f'''(x) = -4 * 24(3 - 2x)^{-5} * (-2) = 96(3 - 2x)^{-5}\)

Therefore, the third derivative of f(x) = 1/(3 - 2x)² is \(f'''(x) = 96(3 - 2x)^{-5}\).

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The solution to the system of differential equations is x(t) = -\(3e^{(31t)\) and z(t) = -\(3e^{(31t\)).

To solve the given system of differential equations, we'll begin by finding the eigenvalues and eigenvectors of the coefficient matrix.

The coefficient matrix is A = [[-22, 54], [-9, 23]]. To find the eigenvalues λ, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.

det(A - λI) = [[-22 - λ, 54], [-9, 23 - λ]]

=> (-22 - λ)(23 - λ) - (54)(-9) = 0

=> λ^2 - λ(23 + 22) + (22)(23) - (54)(-9) = 0

=> λ^2 - 45λ + 162 = 0

Solving this quadratic equation, we find the eigenvalues:

λ = (-(-45) ± √((-45)^2 - 4(1)(162))) / (2(1))

λ = (45 ± √(2025 - 648)) / 2

λ = (45 ± √1377) / 2

The eigenvalues are λ₁ = (45 + √1377) / 2 and λ₂ = (45 - √1377) / 2.

Next, we'll find the corresponding eigenvectors. For each eigenvalue, we solve the equation (A - λI)v = 0, where v is the eigenvector.

For λ₁ = (45 + √1377) / 2:

(A - λ₁I)v₁ = 0

=> [[-22 - (45 + √1377) / 2, 54], [-9, 23 - (45 + √1377) / 2]]v₁ = 0

Solving this system of equations, we find the eigenvector v₁.

Similarly, for λ₂ = (45 - √1377) / 2, we solve (A - λ₂I)v₂ = 0 to find the eigenvector v₂.

The general solution of the system is x(t) = c₁e(λ₁t)v₁ + c₂e(λ₂t)v₂, where c₁ and c₂ are constants.

Using the initial condition x(0) = -3, we can substitute t = 0 into the general solution and solve for the constants c₁ and c₂.

Finally, substituting the values of c₁ and c₂ into the general solution, we obtain the particular solution for x(t).

Since z(t) = x(t), the solution for z(t) is the same as x(t).

Therefore, the solution to the system of differential equations is x(t) = \(-3e^{(31t)\) and z(t) = -\(3e^{(31t)\).

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Answer:

A, C, E & F are true

Step-by-step explanation:

We are given the functions;

g(x) = x² and h(x)= -x²

Let's analyze the options;

A) For any value of x,g(x) will always be greater than h(x);

Let's put x = 1 in both functions;

g(x) = 1² = 1

h(x) = - (1)² = - 1

Let's try a negative number say -1:

g(x) = (-1)² = 1

h(x) = -(-1)² = -1

In both cases, we see that g(x) > h(x) and so the statement is true.

B) For any value of x,h(x) will always be greater than g(x); As seen in A above, for any value of x, h(x) will always be greater than g(x). And so this statement here is wrong.

C) g(x) > h(x) for x = -1;

As seen in A above, at x = -1, g(x) > h(x).

Thus, this statement is true

D) g(x) < h(x) for x = 3;

g(x) = (3)² = 9

h(x) = -(3)² = -9

g(x) is not less than h(x) and so the statement is not correct.

E) For positive values of x, g(x) > h(x).

We have tried positive numbers at x = 1 and x = 3 in previous answers above and in both cases, g(x) > h(x).

Thus, statement is true.

F) For negative values of x, g(x) > h(x).

We have seen earlier that at a negative value of x = -1, g(x) > h(x)

Let's try x = -2

g(x) = (-2)² = 4

h(x) = -(-2)² = -4

Still seeing that g(x) > h(x).

Thus the statement is true.

Answer:

y= 4x + 10

Step-by-step explanation:

It would equal this because mark buys 4 boxes x and he donated 10 dollars. So it would be that. You could also plug in 5 for x so it could be

y= 4(5) +10

But, either one should work.

Answer: (2,1)

Step-by-step explanation:

The two equations given are:

           y = 3 -x

           y = x - 1

The question is asking to determine the point of intersection for two linear functions aka two lines.

Step #1: Both functions must be in slope intercept form which is y = mx+b. In this case, this step can be skipped because both functions are in slope form. At an intersection, x and y must have the same value for each equation. This means that the equations are equal to each other. Therefore, we can set both equations equal to each other to solve for x.

Step #2: We found the x-coordinate, but we need to find the y-coordinate. We know that the x-coordinate is 2, so substitute the number 2 into any of the given equations. So, either into y = 3 - x or y = x - 1.

The point of intersection is (2,1).

Hope this helps ^_^

Answer:

a

Step-by-step explanation:

Answer:

\(m = \frac{-1}{6}\)

Step-by-step explanation:

You are solving for the slope (m). Use the following equation:

slope (m) = \(\frac{y_2 - y_1}{x_2 - x_1}\)

Let:

\((x_1 , y_1) =(-2 , 1)\\(x_2 , y_2) = (4 , 0)\)

Plug in the corresponding numbers to the corresponding terms:

m = \(\frac{0 - 1}{4 - (-2)}\)

\(m = \frac{-1}{4 + 2} \\m = \frac{-1}{6}\)

\(m = \frac{-1}{6}\) is your answer.

~

W is a subspace of R4 since it satisfies closure under vector addition, closure under scalar multiplication, and contains the zero vector.

(a) W is a subspace of R4.

To prove that W is a subspace of R4, we need to show that it satisfies three conditions: closure under vector addition, closure under scalar multiplication, and contains the zero vector.

Closure under vector addition: Let's take two vectors (a₁, a₂, a₃, a₄) and (b₁, b₂, b₃, b₄) from W. We need to show that their sum is also in W.

(a₄ - a₃) + (b₄ - b₃) = (a₂ - a₁) + (b₂ - b₁)

(a₄ + b₄) - (a₃ + b₃) = (a₂ + b₂) - (a₁ + b₁)

This satisfies the condition and shows closure under vector addition.

Closure under scalar multiplication: Let's take a vector (a₁, a₂, a₃, a₄) from W and multiply it by a scalar c. We need to show that the result is also in W.

c(a₄ - a₃) = c(a₂ - a₁)

(c * a₄) - (c * a₃) = (c * a₂) - (c * a₁)

This satisfies the condition and shows closure under scalar multiplication.

Contains zero vector: The zero vector (0, 0, 0, 0) satisfies the equation a₄ - a₃ = a₂ - a₁, so it is in W.

Therefore, W satisfies all the conditions and is a subspace of R4.

(b) S is a spanning set of W.

The subset S = {(1, 0, 0, 1), (0, 1, 1, 0)} is given. To verify that S is a spanning set of W, we need to show that any vector (a₁, a₂, a₃, a₄) in W can be expressed as a linear combination of the vectors in S.

Let's consider an arbitrary vector (a₁, a₂, a₃, a₄) in W. We need to find scalars c₁ and c₂ such that c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (a₁, a₂, a₃, a₄).

Expanding the equation, we get:

(c₁, 0, 0, c₁) + (0, c₂, c₂, 0) = (a₁, a₂, a₃, a₄)

From this, we can see that c₁ = a₁ and c₂ = a₂, which means:

c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (a₁, a₂, a₃, a₄)

Therefore, any vector in W can be expressed as a linear combination of the vectors in S, proving that S is a spanning set of W.

(c) A basis for W is {(1, 0, 0, 1), (0, 1, 1, 0)}.

To find a basis for W, we need to ensure that the set is linearly independent and spans W. We have already shown in part (b) that S is a spanning set of W.

Now, let's check if S is linearly independent. We want to determine if there exist scalars c₁ and c₂ (not both zero) such that c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (0, 0, 0, 0).

Solving the equation, we get:

c₁ = 0

c₂ = 0

Since the only solution is when both scalars are zero, S is linearly independent.

Therefore, the set S = {(1, 0, 0, 1), (0, 1, 1, 0)} is a basis for W.

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The irreducible representations symmetric about principle Cn in the D3d point group are A1, A2, and E. The irreducible representations antisymmetric to inversion are A1 and A2. The two-dimensional irreducible representations are E. The irreducible representations containing the x, y, and z axis rotations are A1 and E.

In the D3d point group, the irreducible representations that are symmetric about the principal axis Cn are denoted as A1, A2, and E. These representations exhibit the same behavior under rotation about the Cn axis. A1 and A2 representations are also antisymmetric to inversion, meaning that their wavefunctions change sign upon inversion. On the other hand, E is a two-dimensional (doubly degenerate) irreducible representation, which means it has two distinct wavefunctions that transform into each other under the symmetry operations of the D3d group.

The irreducible representations containing the x, y, and z axis rotations are A1 and E. These representations possess elements of symmetry corresponding to rotations around the x, y, and z axes. The A1 representation is a one-dimensional representation, while the E representation is two-dimensional. The two-dimensional nature of E implies that it has two wavefunctions that transform differently under the symmetry operations of the group.

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Answer:

5 cups of water

Step-by-step explanation:

well if we take this and turn it into a ratio, we know the base is 3hrs/2cups

so if we want to find 7.5hrs/x then we just multiply the two fractions and see what we get. so 7.5 divided by 3 is equal to 2.5

so we take the amount of water she drinks in 3hrs which is 2cups of water and we multiply that by 2.5 leaving us with Danielle drinking 5 cups of water in 7.5 hours of ballet practice.

hope this helps if it did please leave a like, rate, and give me the brainliest is possible!

have a great day!

I would assume it would be 4.5 cups

Answer: x^2+3x+5

Step-by-step explanation:

Substitute (x+4) in so that you get f(x)=(x+4)^2-5(x+4)+9. Then expand so you get x^2+8x+16-5x-20+9. Now simplify and you get x^2+3x+5. That is your final answer.

We randomly take a card, if it is not a, then the probability that it is b, is 1/4.

We have to find the the probability that it is a card of b, if it is not a.

We have total number of cards = 20

The cards of a = 10

The cards of b = 5

The cards of c = 5

We don't select the card a, then;

The probability of choosing card b = The total number of card b/total number of cards

The probability of choosing card b = 5/20

The probability of choosing card b = 1/4

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Answer:

There are 292 sunny days a year in Yucca Manor

Step-by-step explanation:

80 x 365

--------------           =          292

100                                

If event A occurs, it does not necessarily mean that its complement will also occur. The occurrence of one event has no effect on the occurrence of its complement.

If two events are complementary, then we know that the sum of their probabilities is equal to 1.Regarding the rules of probability, the statement "If event A occurs, then its complement will also occur" is incorrect. Two events are said to be complementary if they are mutually exclusive and together they make up the entire sample space. This means that the probability of either event occurring is equal to the sum of their probabilities, which is equal to 1. So, if the probability of event A occurring is p(A), then the probability of its complement, denoted by A', occurring is 1 - p(A).

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Answer:

18

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Hope this helps plz give brainliest.

The solution to the expression is A = 18

Given data ,

Let the expression be represented as A

Now , the value of A is

Let the first number be represented as p

The value of p = 42

Let the second fraction be represented as q

The value of q = 2 1/3

So, A = p/q

On simplifying the equation , we get

A = p divided by the value of q

And , A = ( 42 )/ ( 7/3 )

A = 6 x 3

A = 18

The simplest form of the value of A = 18

Therefore , the value of A is 18

Hence , the expression is A = 18

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Answer:

Step-by-step explanation:

200,00

Answer:

His weekly allowance is $5.50.

Step-by-step explanation:

12.03 - 6.53 = $5.50

I'm not 100% sure this is accurate. Good Luck!

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Answer:

Divide the percentage by 100 to get a decimal number. Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction. Convert the decimal to a whole number: Count how many places are to the right of the decimal.

Answer: x <= -5/12

Step-by-step explanation:

\(\begin{array}{l}3x\le\frac{-5}{4}\\\\=\frac{3x}{3}\le\frac{\frac{-5}{4}}{3}\\\\=x\le-\frac{5}{12}\end{array}\longrightarrow\ -\frac{5}{4}\cdot\frac{1}{3}=-\frac{5}{12}\)

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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Answer:

108,864

Step-by-step explanation:

The difference between each value is x6, so you times the number by 6 to get the next number of the sequence :)

Answer:

Step-by-step explanation:

You are going to go below zero with this one and in oF that's going to be mighty cold.

61- 74 = - 13 degrees.

I lived in a place where, during winter, - 20 was consider time to start growing tropical fruit. So - 13 is not so very bad if you are used to it.

Answer:

-8/13

Step-by-step explanation:

The slope of (-6,5) and (7,-3) is -8/13.

Answer: pretty sure it’s -8

Step-by-step explanation:

I used the slope formula which is:

m= y2-y1/x2-x1

m= -3-5/7-6

m= -8/1

m= -8

Answer:

C. 516 in2

Step-by-step explanation:

I took the test last week and I got this question corrected

Answer:

Bellow

Step-by-step explanation:

Let's solve your equation step-by-step.

4+5x−7=10+3x−2x

Step 1: Simplify both sides of the equation.

4+5x−7=10+3x−2x

4+5x+−7=10+3x+−2x

(5x)+(4+−7)=(3x+−2x)+(10)(Combine Like Terms)

5x+−3=x+10

5x−3=x+10

Step 2: Subtract x from both sides.

5x−3−x=x+10−x

4x−3=10

Step 3: Add 3 to both sides.

4x−3+3=10+3

4x=13

Step 4: Divide both sides by 4.

4x/4 = 13/4

x = 13/4

Answer:

x = 13/4

Answer:

x=9

Step-by-step explanation:

If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.

x* (x+1) = 10*9

Distribute

x^2 +x = 90

Subtract 90 from each side

x^2 +x-90 =0

Factor

(x-9)(x+10) =0

Using the zero product property

x-9=0  x+10=0

x=9  x=-10

Since we cannot have a negative length

x=9

The circle is made up of 2 lines, this means that they will equal each other.

x(x + 1) = 10 * 9

~Simplify

x² + x = 90

~Subtract 90 to both sides

x² + x - 90 = 90 - 90

~Simplify

x² + x - 90 = 0

~Factor out

(x - 9)(x + 10) = 0

~Set both factors to equal 0

x - 9 = 0

x + 10 = 0

~Solve for x in [ x - 9 = 0 ]

x - 9 + 9 = 0 + 9

x = 9

~Solve for x in [ x + 10 = 0 ]

x + 10 - 10 = 10 - 10

x = -10

Since -10 is negative, we can't use it.

Therefore, x = 9

Best of Luck!

Answer:53km/h

Step-by-step explanation:

you divide 424 by 8 in order to find the unit rate or the amount of kilometers per hour