not merely a cluster of random elements, a narrative presents an ordered series of events connected by the logic of

Minimum Increment operations to make Array unique

The UNIQUE function will return an array, which will spill if it's the final result of a formula. This means that Excel will dynamically create the appropriate sized array range when you press ENTER .

ArrayList is like an array behind the scenes as it’s backed by an array of type java.lang.Object in java.

Normally arrays are fixed in size which means the number of elements that can be added are fixed and cannot be increased once created. ArrayList can dynamically increase in size once the array that backs is full so, these way we won’t encounter runtime exceptions.

When we say list.get(0), it’s equivalent to array[0]. It can be said the ArrayList is a kind of more convenient way to use dynamic arrays.

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Answer:

35%

Step-by-step explanation:

100% - 35% = 65%

Janice spends 35% swimming

And spends 65% jogging

Explanation:

Amount = 28.97

coupo

Answer:

X=4

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

3x+2−2=14−2

3x=12

Step 2: Divide both sides by 3.

3x

3

=

12

3

x=4

Answer: 3(2x+4), 6(x+2), and 2(3x+6)

Step-by-step explanation: tell me if you dont understand :)

Answer:

Let x be the number of hot dogs sold.

Then the number of sodas sold is 3x.

The total number of sodas and hot dogs sold is 132, so we can write:

x + 3x = 132

4x = 132

x = 33

Therefore, the number of hot dogs sold is 33, and the number of sodas sold is 3x = 3(33) = 99.

Step-by-step explanation:

Answer:

$20 x 122% = $24.40

or look at it this way:

$20 x 1.22 = $24.40

Step-by-step explanation:

Answer:

answer b <3

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

280*(17/100) = 47.6

Step-by-step explanation:

there should be two question like this

Answer:

See below ..... need width of plate to complete and units of density

Step-by-step explanation:

Convert all of the measurements to  common metric units

12 inches = 30.48 cm  

25.5 mm = 2.55 cm

weight= 30.48  *  2.55    *  width   *   7.85     units

Need WIDTH of the plate in cm    and the  mass units of density

Step-by-step explanation:

27.8953 kg is the answer

Answer:

11. 720 in.^2 12.67.5 ft^2 13. 3.9m^2

Step-by-step explanation:

If a data set contains three unique values, none of the given statements must be true.

The mean is the average of a data set, calculated by summing all values and dividing by the number of values. In a data set with three unique values, the mean will not necessarily be equal to the median, which is the middle value when the data set is arranged in ascending or descending order.

The median is the middle value in a data set when arranged in order. With three unique values, the median will not necessarily be equal to the midrange, which is the average of the minimum and maximum values in the data set.

Therefore, none of the statements "mean = median," "median = midrange," or "median = midrange" must hold true for a data set with three unique values.

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(a) The values of f(0) = 3 and g(2) = 2.

(b) The values of x for which f(x) = g(x) are -2, 2.

(c) The solutions of the equation f(x) = −1 are x = -3, 4.

(d) The interval on which f is decreasing is [0, 4].

(e) The domain and range of f are:

domain = [-4, 4].

range = [-2, 3].

(f) The domain and range of g are:

domain = [-4, 3].

range = [-0.5, 4].

In Mathematics and Geometry, a function is an equation which defines and represents the relationship that exist between two or more variables.

Part a.

By critically observing the graph of f(x) and g(x) shown in the image attached below, the corresponding output values are as follows:

f(0) = 3.

g(2) = 2.

Part b.

The values of x for which f(x) is equal to g(x) are x = -2 and x = 2;

f(-2) = g(-2) = 1.

f(2) = g(2) = 2.

Part c.

The estimated solutions of the equation f(x) = −1 are as follows;

f(-3) = -1

f(4) = -1

Therefore, x = -3, 4.

Part d.

The function f(x) is decreasing over this interval [0, 4].

Part e.

By critically observing the graph of f(x) shown in the image attached below, we can logically deduce the following domain and range:

domain = [-4, 4].

range = [-2, 3].

Part f.

By critically observing the graph of g(x) shown in the image attached below, we can logically deduce the following domain and range:

domain = [-4, 3].

range = [-0.5, 4].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

-8

Step-by-step explanation:

Answer:

the answer is negatvie 8

Step-by-step explanation:

Answer:

884736

Step-by-step explanation:

Multiply using the order of operations, from left to right.

Answer:

1/2

Step-by-step explanation:

Filling out the tree diagram,

On the first throw, there is a 4/4 = 100%* chance Jennifer hits or misses. Therefore, the chance she misses is equal to the difference between

(chance she hits or misses) - (chance she hits) = 4/4 - 1/4 = 3/4

For the second throw, the chance she hits is independent of whether she hits or misses on the first throw. This means that it does not matter whether she hits or misses on the first throw; her chance to hit the second throw will always be 1/3. Therefore, 1/3 can go into the hit category on each hit line on the second throw, and in the miss category, we can put

100% - 1/3 = 1 - 1/3 = 3/3 - 1/3 = 2/3

For Jennifer to hit the bullseye at least once, she must either:

- Hit and then hit

- Hit and then miss

- Miss and then hit

From this, we can determine that if Jennifer hits the first bullseye, she will have hit it at least once, no matter what. Therefore, Jennifer must either:

- Hit the first one

- Miss and then hit

In probability, OR /either means that we add the probabilties. The probability that she hits the first one is 1/4, and the probability that she misses and then hits is

(probability she misses the 1st one) * (probability she hits the second one). We know to multiply here because both scenarios must happen, and for AND probabilities, we multiply. We thus have

(3/4) * (1/3) = 3/12 = 1/4 as the probabilty that she misses then hits, and 1/4 as the probability that she hits the first one. We add these up to get 1/4 + 1/4 = 2/4 = 1/2 as our probability that she hits the bullseye at least once

* we know 4/4 = 100% because 100% = 1, and anything divided by itself is equal to 1.

The soccer ball reaches a maximum height of approximately 34.8 feet.

The parametric equations for the motion of the soccer ball are:

x(t) = 39*cos(44°)t ≈ 26.9t

y(t) = \(39\sin(44)*t - 16t^2\) ≈ \(22.7t - 16t^2\)

where t is the time elapsed since the ball was kicked.

To find the maximum height of the ball, we need to find the vertex of the parabolic trajectory given by y(t).

The maximum height occurs at the vertex, which is at the time t = -b/2a, where a = -16 and b = 39*sin(44°).

So, t = -b/2a ≈ 1.1 seconds.

Substituting this value of t into the equation for y(t), we get the maximum height:

y(max) = \(39*\sin(44)1.1 - 16(1.1)^2 = 34.8 feet.\)

Therefore, the soccer ball reaches a maximum height of approximately 34.8 feet.

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Answer:

Step-by-step explanation:

You want the value of the piecewise function for various values of x.

The first step in evaluating a piecewise function is determining which domain is applicable to the value of x you have. Then you use the corresponding function, evaluating it in the usual way.

For x = -5, the applicable domain is x < -3, so the function is ...

  h(-5) = -4(-5) -18 = 20 -18

  h(-5) = 2

For x = 0, the applicable domain is -3 ≤ x < 1, so the function is ...

  h(0) = 1

For x = 1 or 4, the applicable domain is x ≥ 1, so the function is ...

  h(1) = 1 +2 = 3

  h(4) = 4 +2 = 6

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The coordinates of the images of the points are B'(x, y) = (0, 2), C'(x, y) = (3, 4), Z'(x, y) = (4, 3) and X'(x, y) = (4, 1), respectively.

In this problem we find four points set on Cartesian plane, each of which has to be transformed by using the following transformation rule about the origin:

(x', y') = (x · cos θ - y · sin θ, x · sin θ + y · cos θ)

Where:

(x, y) - Coordinates of the original point.

θ - Angle of rotation, in degrees.

If we know that B(x, y) = (- 2, 0), C(x, y) = (- 4, 3), Z(x, y) = (- 3, 4), X(x, y) = (- 1, 4) and θ = 90°, then the coordinates of the resulting point:

B'(x, y) = (- 2 · cos (- 90)° - 0 · sin (- 90°), - 2 · sin (- 90°) + 0 · cos (- 90°))

B'(x, y) = (0, 2)

C'(x, y) = (- 4 · cos (- 90°) - 3 · sin (- 90°), - 4 · sin (- 90°) + 3 · cos (- 90°))

C'(x, y) = (3, 4)

Z'(x, y) = (- 3 · cos (- 90°) - 4 · sin (- 90°), - 3 · sin (- 90°) + 4 · cos (- 90°))

Z'(x, y) = (4, 3)

X'(x, y) = (- 1 · cos (- 90°) - 4 · sin (- 90°), - 1 · sin (- 90°) + 4 · cos (- 90°))

X'(x, y) = (4, 1)

Finally, we proceed to graph the locations of the points, both original and resulting, by means of a graphing tool.

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Step-by-step explanation:

the surface areas are always the sum of the areas of the individual sides and base area.

so, all we need to do here is calculating the areas of triangles, rectangles (actually squares) and a hexagon.

the area of a triangle is

baseline × height / 2

or with Heron's formula when we have all sides

s = (a+b+c)/2

area = sqrt(s×(s-a)×(s-b)×(s-c))

the area of a rectangle is

length × width

for a square that is then

side × side = side²

and the area of a regular hexagon can be created again as sum of multiple sub-shapes. but ultimately it is

3 × sqrt(3) × side² / 2

1.

square base area : 10×10 = 100 cm²

lateral areas :

one triangle is 10×13/2 = 65 cm²

4 triangles are then 4×65 = 260 cm²

total surface area :

100 + 260 = 360 cm²

2a.

3 lateral triangles :

3 × 8×10/2 = 120 units²

base area (Heron's, as all 3 sides are 8 units) :

s = 3×8/2 = 12

area = sqrt(12×4×4×4) = sqrt(3×4×4×4×4) = 16×sqrt(3)

total surface area :

120 + 16×sqrt(3) = 147.7128129... units²

2b.

4 lateral triangles :

4 × 8×10/2 = 160 units²

base area : 8×8 = 64 units²

total surface area :

160 + 64 = 224 units²

2c.

6 lateral triangles :

6 × 8×20/2 = 480 units²

base area :

3×sqrt(3)×8²/2 = 96×sqrt(3)

total surface area :

480 + 96×sqrt(3) = 646.2768775... units²

2d.

base area : 16² = 256 units²

4 lateral triangles. but we need to get their height first.

Pythagoras :

(16/2)² + 24² = height²

8² + 24² = height²

64 + 576 = height²

height² = 640

height = sqrt(640) = sqrt(64×10) = 8×sqrt(10)

4 triangles are

4 × 16×8×sqrt(10)/2 = 256×sqrt(10) units²

total surface area :

256 + 256×sqrt(10) = 256×(1 + sqrt(10) = 1,065.543081... units²

458 fishes

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The answer is in the picture. Click on it.

The correct answer is the profit at each vertex is as follows:(8,1) P = 0.384(14,1) P = 0.4224(3,6) P = 0.3888(5,10) P = 0.36

The given function is P = 0.04x0.05y0.06(16 – x – y).

We need to evaluate the profit function at each vertex.

Vertices are: (8, 1)(14, 1)(3, 6)(5, 10)

Let's evaluate profit at each vertex:

For vertex (8,1)P = 0.04x0.05y0.06(16 – x – y)

P = 0.04(8)0.05(1)0.06(16 – 8 – 1)

P = 0.384

For vertex (14,1) P = 0.04x0.05y0.06(16 – x – y)

P = 0.04(14)0.05(1)0.06(16 – 14 – 1)

P = 0.4224

For vertex (3,6)P = 0.04x0.05y0.06(16 – x – y)

P = 0.04(3)0.05(6)0.06(16 – 3 – 6)

P = 0.3888

For vertex (5,10)P = 0.04x0.05y0.06(16 – x – y)

P = 0.04(5)0.05(10)0.06(16 – 5 – 10)

P = 0.36

The profit at each vertex is as follows:(8,1) P = 0.384(14,1) P = 0.4224(3,6) P = 0.3888(5,10) P = 0.36

Thus, we can see that the maximum profit is at the vertex (14,1) which is equal to $0.4224.

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Answer:

a) 125 ml milk

b) 7.5g

Step-by-step explanation:

since 8 pancakes you need 250 ml of milk then you divide 250 by 2 since 8/2 is 4

250/2

125 ml milk

b)

We do the same as the other problem we find how much you need for 4 pancakes

5/2

2.5

Now you multiply by 3 since 4x3=12

2.5x3

7.5 g

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

a. 2a(3+7a)

b.2x(x^3+x^4+x^9)

c.3z(z-5)

d i cant see

Answer:

1) 6a + 14a^2

2a(3+7a)

2) 2x^4 + 2x^5 + 2x^10

2x^4(1 + x + x^6)

3) 6z^2 - 15z

3z(2z - 5)

4) 42w^3 - 14w + 77w^2

42w^3 + 77 w^2 - 14 w

7w(6w^2 + 11w - 2)

Step-by-step explanation:

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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The probability that the next person will pay with a debit card is:

P =  0.63

We want to find he probability that the next customer will pay with a debit card.

That probability can be estimated as the quotient between the number of customers that paid with debit card and the total number of customers.

We know that:

15 paid in cash.

50 paid with debit card.

15 paid with credit card.

For a total of 15 + 50 + 15 = 80

Then the probability is:

P = 50/80 = 0.63

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Answer:

Tan(Ф) = \(\frac{12}{5}\)

Step-by-step explanation:

Tan(Ф) = \(\frac{opposite}{adjacent}\)

Tan(Ф) = \(\frac{12}{5}\)

Hope this helps!

In the given Markov chain, State 1 is absorbing, State 4 is periodic, State 1 is recurrent, and States 3, 4, and 5 are recurrent.

A Markov chain is a stochastic model that represents a sequence of states where the probability of transitioning from one state to another depends only on the current state. Let's analyze the given Markov chain to determine the properties of each state.

State 1: This state has a probability of 1 in the first row, indicating that it is an absorbing state. An absorbing state is one from which there is no possibility of leaving once it is reached. Therefore, statement a) is correct, and State 1 is absorbing.

State 2: There are no transitions from State 2 to any other state, which means it is an absorbing state as well. However, since it is not explicitly mentioned in the question, we cannot determine its status based on the given information.

State 3: This state has non-zero probabilities to transition to other states, indicating that it is not absorbing. Furthermore, it has a loop back to itself with a probability of 1/6, making it recurrent. Hence, statements c) and e) are incorrect, while statement f) is correct. State 3 is recurrent.

State 4: State 4 has a transition probability of 1/3 to State 3, which means there is a possibility of leaving this state. However, there are no outgoing transitions from State 4, making it an absorbing state. Moreover, since there is a loop back to itself with a probability of 2/3, it is also recurrent. Therefore, statement b) is correct, and State 4 is periodic and recurrent.

State 5: Similar to State 4, State 5 has a transition probability of 2/3 to State 3 and no outgoing transitions. Hence, State 5 is also an absorbing and recurrent state. Consequently, statement e) is correct.

To summarize, State 1 is absorbing and recurrent, State 4 is periodic and recurrent, and States 3 and 5 are recurrent.

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