Which storm is likely to cause quick destruction along a narrow path?

hurricane

thunderstorm

tornado

Answer:

la primera

Step-by-step explanation:

The quadratic equation x2 - 4x + 3 = 0 has two roots. The roots are given by the quadratic formula as x = [4 ± √(16 - 12)]/2, which gives x = [4 ± 2√3]/2. Therefore, the roots are x = 2 ± √3.
The quadratic equation x^2 - 4x - 3 = 0 has two roots.

To find the roots of this equation, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac))/(2a)

In this case, a = 1, b = -4, and c = -3. Plugging these values into the quadratic formula, we get:
x = (-(-4) ± √((-4)^2 - 4(1)(-3)))/(2(1))
x = (4 ± √(16 + 12))/2
x = (4 ± √28)/2
x = (4 ± 2√7)/2

Simplifying further, we get:
x = 2 ± √7

Therefore, the two roots of the equation are x = 2 + √7 and x = 2 - √7.

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The volume of the prism is 214 cubic meters.

To find the volume of a prism, we need to multiply the base area by the height. In this case, the base of the prism is a rectangle with a length of 3 meters and a width of 5.4 meters. So, the area of the base is 3 x 5.4 = 16.2 square meters. The height of the prism is 13 meters.

Now, we can calculate the volume of the prism by multiplying the base area by the height:

Volume = base area x height
Volume = 16.2 x 13
Volume = 210.6 cubic meters

Rounding this answer to the nearest whole number, we get:

Volume ≈ 214 cubic meters.
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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

10

Step-by-step explanation:

You can replace t in the equation with 1 like so 4(1)+6 using pemdas first you'd   multiply 4 by 1 which is 4 and then add 6 which is 10.

If Clare's average number of strokes per hole is 3, it means that the total number of strokes she took in the round divided by the number of holes she played is equal to 3.

Let's say Clare played n holes in total and took a total of s strokes in the round. Then we can write:

s/n = 3

Multiplying both sides by n, we get:

s = 3n

This means that Clare took 3 strokes per hole on average, and a total of 3n strokes in the round. If she were to redistribute the strokes on different greens, the total number of strokes would still be 3n, and her average number of strokes per hole would remain 3.

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The eigenvalues is λ = -3 and eigenvectors for the coefficient matrix [0, 0, -3/5, 1].

An eigenvalue of a matrix is a scalar value that, when multiplied by the matrix, produces a multiple of the original matrix. An eigenvector is a non-zero vector that, when multiplied by the matrix, results in a multiple of itself.

First, let's define what an eigenvalue and eigenvector are in the context of matrices.

Now, let's apply these definitions to the given matrix. We want to find values λ such that:

[−3 −2 5 3][x₁] [λx₁]

[x₂] = [λx₂]

[x₃] [λx₃]

[x₄] [λx₄]

To do this, we need to solve the equation:

det([-3-λ -2 5 3]

[0 -2-λ 0 0]

[0 0 5-λ 0]

[0 0 0 3-λ]) = 0

where det denotes the determinant of the matrix. Solving this equation will give us the eigenvalues of the matrix.

After some calculations, we find that the eigenvalues of the matrix are λ = -3, -2, 5, and 3.

Next, we need to find the eigenvectors corresponding to each of these eigenvalues. We do this by solving the equation:

([-3-λ -2 5 3][x₁] [0]

[x₂] = [0]

[x₃] [0]

[x₄] [0])

for each eigenvalue. This will give us a system of linear equations that we can solve to find the eigenvector.

Let's consider the eigenvalue λ = -3. Solving the equation above, we get:

[0 -2 5 3][x₁] [0]

[x₂] = [0]

[x₃] [0]

[x₄] [0]

This gives us the system of equations:

-2x2 + 5x3 + 3x4 = 0

x2 = 0

x3 = 0

x4 = 0

From the second equation, we know that x₂ = 0. Substituting this into the first equation, we get -2x₂ + 5x₃ + 3x₄ = 0, which simplifies to 5x₃ + 3x₄ = 0.

We can choose any value for x₄, but for simplicity, let's choose x₄ = 1. Then, we have 5x₃ = -3, which gives us x₃ = -3/5. Therefore, the eigenvector corresponding to λ = -3 is [0, 0, -3/5, 1].

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Complete Question:

Consider the linear system

Y′ =[−3 −2 5 3]Y.

Find the eigenvalues and eigenvectors for the coefficient matrix.

The type of function that fits the given description is D. Exponential decay.

In an arithmetic sequence, the difference between consecutive terms remains constant. If the y-values of a function form an arithmetic sequence that decreases in value, it means that the difference between consecutive terms is negative.
Exponential decay functions exhibit a constant ratio between consecutive terms, resulting in a decreasing sequence. As the x-values increase, the y-values decrease at a consistent rate. This is represented by the formula y = ab^x, where b is a constant between 0 and 1.
In contrast, linear functions have a constant difference between consecutive terms, resulting in an arithmetic sequence. However, since the y-values are decreasing, the function cannot be linear.
Exponential growth functions, on the other hand, have a constant ratio between consecutive terms, but they result in an increasing sequence. The y-values of an exponential growth function increase as the x-values increase.

Therefore, based on the given information, the most appropriate type of function is D. Exponential decay.

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The probability of getting the first two questions correct by randomly guessing is option D: 0.0625.

Since each question has four choices and you are randomly guessing, the probability of guessing the correct answer for each question is 1 out of 4, or 1/4 = 0.25.

To find the probability of getting both questions correct, we multiply the probabilities of each event since they are independent. So, the probability of getting the first question correct is 0.25, and the probability of getting the second question correct is also 0.25.

To find the probability of both events occurring, we multiply the individual probabilities:

P(both questions correct) = P(first question correct) * P(second question correct) = 0.25 * 0.25 = 0.0625.

Therefore, the probability of getting the first two questions correct by randomly guessing is 0.0625, which corresponds to option D.

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The solution is :

The solution is, 15120 different ways can he arrange his program.

Here, we have,

Given : A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections.

To find : How many ways can he arrange his program?  

Solution :

According to question,

We apply permutation as there are 9 different selections and they plan to perform 5 selections for a concert.

since order of songs matter in a concert as well, every way of the 5 songs being played in different order will be a different way.

so, we will permute 5 from 9.

So, Number of ways are

W = 9P5

   =9!/(9-5)!

   = 9!/4!

   = 15120

15120 different ways

Hence, The solution is, 15120 different ways can he arrange his program.

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The limit of the sequence is L = 2.

We have,

To find the limit of the given recursively defined sequence, we can use the fact that as n approaches infinity, approaches a common limit value. Let's denote this limit as L.

Given:

a1 = 1

an+1 = 6/(1 + an)

To find the limit, we can set the recursive equation equal to L and solve for L:

L = 6/(1 + L)

Now, let's solve this equation for L:

L(1 + L) = 6

L + L² = 6

L² + L - 6 = 0

Factorizing the quadratic equation, we have:

(L + 3)(L - 2) = 0

This gives us two possible solutions:

L + 3 = 0 -> L = -3

L - 2 = 0 -> L = 2

Since the sequence is defined as an increasing sequence starting from 1, the limit L should be greater than 1.

Therefore,

The limit of the sequence is L = 2.

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The required answer of the sequence with a1 = 1, an+1 = 6/1 + an  is the sequence converges to either -3 or 2.

To find the limit of the recursively defined sequence with a1 = 1 and an+1 = 6/(1 + an), we can assume that the sequence converges and find the value it converges to.

Let's denote the limit as L.

As n approaches infinity, an approaches L, and an+1 also approaches L. Therefore, we can write the recursive equation in terms of the limit L:

L = 6/(1 + L)

To solve for L, we can multiply both sides of the equation by (1 + L):

L(1 + L) = 6

Expanding the left side:

\(L + L^2 = 6\)

Rearranging the equation to a quadratic form:

\(L^2 + L - 6 = 0\)

Factoring the quadratic equation:

(L + 3)(L - 2) = 0

Setting each factor equal to zero:

L + 3 = 0 or L - 2 = 0

Solving for L:

L = -3 or L = 2

Therefore, the sequence converges to either -3 or 2.

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Answer:

2y

Step-by-step explanation:

Answer:

\(2y\)

Step-by-step explanation:

\((x+y)-(x-y)\)

\((x+y)-x+y\) <-- Remember to distribute -1 in the parentheses!

\(x+y-x+y\)

\(2y\)

Answer:

66 Watts

Step-by-step explanation:

Given data

Work= 3960Joules

Time= 60 seconds

We know that the expression for power is

Power= Work/TIme

Power= 3960/60

Power=66 Watts

Hence the power is 66 Watts

Answer:

See below

Step-by-step explanation:

You have 2 choices for the first condiment

   2 choices for the second one

       and 2 choices for the third one

   total choices would then be 2 x 2 x 2 = 8

In the XY plane, the circles with equations (x-3) + y = 11 and (x+2) + y = r are externally tangent. the value of r is -6.

Generally, To find the value of r, we can start by solving for the centers and radii of the two circles.

The equation of the first circle is of the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. We can rewrite the equation of the first circle as (x - 3)² + y² = 11², so the center of the circle is (3, 0) and the radius is 11.

The equation of the second circle is also of the form (x - h)₂ + (y - k)₂ = r². We can rewrite the equation of the second circle as (x + 2)² + y² = r², so the center of the circle is (-2, 0) and the radius is r.

Since the two circles are externally tangent, the distance between their centers is equal to the sum of their radii. Therefore, the distance between the centers is equal to 11 + r. We can use the distance formula to find the distance between the centers:

distance = √((h₂ - h₁)^2 + (k₂ - k₁)²)

Plugging in the coordinates of the centers, we get:

distance = √((-2 - 3)^2 + (0 - 0)^2) = √(5^2 + 0^2) = √(25) = 5

Since the distance between the centers is equal to the sum of the radii, we can set up the equation:

5 = 11 + r

Solving for r, we get:

r = 5 - 11 = -6

Therefore, the value of r is -6.

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The volume of a 4-gang 2.5-inch deep masonry box can vary depending on its dimensions, but for a box with dimensions of 10 inches by 6 inches by 2.5 inches, the volume would be 150 cubic inches.

What is the volume of the rectangle?

The volume of a rectangular prism is the product of its three dimensions, that is volume = length × width × height.

Assuming that the 4-gang 2.5-inch deep masonry box is a rectangular prism, the volume can be calculated as:

Volume = Length x Width x Depth

The dimensions of the box are not specified, but we can calculate the volume for any given set of dimensions. For example, if we assume that the box has a length of 10 inches and a width of 6 inches, then the volume would be:

Volume = 10 x 6 x 2.5

Volume = 150 cubic inches

Therefore, the volume of a 4-gang 2.5-inch deep masonry box can vary depending on its dimensions, but for a box with dimensions of 10 inches by 6 inches by 2.5 inches, the volume would be 150 cubic inches.

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Answer:

\( \frac{1}{6} \)

Step-by-step explanation:

Total possible outcomes when you rolled the dices= 6*6=36

Outcome with sum as 7:

(1,6) (6,1)

(2,5) (5,2)

(3,4) (4,3)

N( outcomes with sum as 7)= 6

P(sum as 7):

\( \frac{n(outcomes \: with \: \: sum \: as \: 7)}{total \: outcome} \\ = \frac{6}{36} \\ = \frac{1}{6} \)

Hope this helps...

Good luck on your assignment..

Answer:

21

Step-by-step explanation:

75÷100×28=21

if its correct please mark as brainliest answer

The factor of the polynomial is option (D) (2x+5)^2 is the correct answer.

In this question,

Factorization is the breaking or decomposition of an entity (i.e.,) a number, a matrix, or a polynomial into a product of another entity, or factors, which when multiplied together give the original number. Factorize an expression involves take out the greatest common factor (GCF) of all the terms.

The polynomial is \(4x^{2} +20x+25\)

The above polynomial can be factored as

⇒ \(4x^{2} +20x+25=0\)

⇒ \((2x)^{2}+2(2x)(5)+5^{2}\)

⇒ \((2x+5)^{2}\)

Hence we can conclude that the factor of the polynomial is option (D)(2x+5)^2 is the correct answer.

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The complete flow proof is:

We have:

\(\angle 5 = 40^o\)

\(\angle 2 = 140^o\)

The proof of \(a ||b\) is as follows:

The first statement is:

\(\angle 5 = 40^o\) ---- Given

The next statement is:

\(\angle 2 = 140^o\) ---- Given

Supplementary angles add up to \(180^o\).

So, the third statement is:

\(\angle 5 + \angle 2 = 180^o\) ----- \(\angle 5\) and \(\angle 2\) are supplementary angles

Same side of interior angles add up to \(180^o\).

So, the fourth statement is:

\(\angle 5 + \angle 2 = 180^o\) ----- \(\angle 5\) and \(\angle 2\) are same-side interior angles

Because the angles are supplementary angles and also same-side interior angles, then it means that line a is parallel to line b

So, the last statement is:

\(a ||b\) ----- Proved

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Answer:

34 is the right answer I have already done it

Answer: T=25

Step-by-step explanation:

T=4m^2 -11

We know that m= -3

-3^2 = 9

So the equation is T=4 (9) -11

T = 36 -11

T= 25

Answer:

56 inches

Step-by-step explanation:

If we let r be the total amount of ribbon needed for the gift, and d be the distance around the gift, we can write the following equation to represent the amount of ribbon Shelly needs in terms of d:

r = d + 8

We add the 8 to the d because we are given that Shelly needs an extra 8 inches of ribbon to make a bow.

Now, we are given that r = 64, so substituting this value into our equation gives us:

64 = d + 8

Subtracting 8 from both sides of the equation to isolate d, we get:

d = 56 inches

Hope this helps!

Answer:

b hope you are having a good day and I have a few

Answer:

64

Step-by-step explanation:

Substitute in a -4 for a

[a - (a - 4)]^3

(a-a-4)^3

4^3

4x4x4 = 64

Answer:

10 months

Step-by-step explanation:

Let x denotes number of months.

Down payment of first TV = $200

Per month payment of first TV = $39.99

Total payment of first TV \(=200+39.99x\)

Down payment of second TV = $0

Per month payment of second TV = $59.99

Total payment of second TV \(=0+59.99x=59.99x\)

To find number of months until the payments are of equal value,

solve \(200+39.99x=59.99x\)

\(200+39.99x=59.99x\\200=59.99x-39.99x\\200=20x\\x=\frac{200}{20}\\ x=10\)

So, payments become of equal value after 10 months.

Answer:

a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.

b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.