(1 + 4i)^2

Solve please?

The coefficient of multiple determination is B. 0.1225

The coefficient of multiple correlation is a measure of the linear relationship between multiple independent variables and a dependent variable. It ranges from -1 to 1, where 1 indicates a perfect positive relationship, -1 indicates a perfect negative relationship, and 0 indicates no relationship.

The coefficient of multiple determination, also known as R-squared, represents the proportion of the variance in the dependent variable that can be explained by the independent variables in a multiple regression model.

To find the coefficient of multiple determination, we square the coefficient of multiple correlation. In this case, since the coefficient of multiple correlation is 0.35, we square it to get the coefficient of multiple determination.

\( 0.35^2 = 0.1225 \)

So, the coefficient of multiple determination is approximately 0.1225.

Now, let's check which option from the given choices is the closest to 0.1225:

a. 0.10
b. 0.12
c. 0.14
d. 0.16

Based on our calculation, the coefficient of multiple determination is approximately 0.1225, which is closest to option b. Therefore, the correct answer is b. \( 0.12 \).

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Answer:

i think its C

Step-by-step explanation:

It may be d though

From the trigonometric function sec θ = 13/12, two more functions are derived -

Option C: cos θ = 12/13

Option D: tan θ = 5/12

What is trigonometric function?

Simply put, trigonometric functions also referred to as circular functions are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle.

The given trigonometric function is -

sec θ = 13/12

Sec function is written as the ratio of hypotenuse to adjacent.

sec θ = 1/cos θ

Cos function is written as the ratio of adjacent to hypotenuse.

cos θ = 12/13

To find the opposite, apply the Pythagoras theorem -

(Opposite)² = (Hypotenuse)² - (Adjacent)²

(Opposite)² = (13)² - (12)²

(Opposite)² = 169 - 144

Opposite = √25

Opposite = 5

Tan function is written as the ratio of opposite to adjacent.

tan θ = 5/12

Therefore, from sec function, cos and tan function are obtained.

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Answer:

a: 1.6705882352941

b:463.52112676056

c: 22.82

Answer:

B and D

Step-by-step explanation:

Because using them pea 0 in the denominator, which you can't have.

we can expect there to be approximately 696 rats (rounded to the nearest whole) in the bay area of the city after 18 months of growth at a rate of 6% per month.

To solve this problem, we can use the formula for exponential growth:
\(P(t) = P(0)e^{rt}\)

where P(0) is the initial population, r is the growth rate (in decimal form), t is the time period, and e is the mathematical constant approximately equal to 2.718.

In this case, P(0) = 310, r = 0.06 (since the population grows at a rate of 6% per month), and t = 18 months. So we have:

\(P(18) = 310 e^{(0.06 * 18)}\)
P(18) =696

Therefore, we can expect there to be approximately 696 rats (rounded to the nearest whole) in the bay area of the city after 18 months of growth at a rate of 6% per month.

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Answer: D: 4x+3y=-6

Step-by-step explanation:

Answer:

4x + 3y = −6

Step-by-step explanation:

just took the test!

"Only for artist draw this in your style try your best this can also work for anyone in the mha fandom or undertale fandom" is a fun and creative way for fans of both fandoms to show off their artistic skills and put their own unique spin on a beloved character or scene. It allows for a lot of creativity and interpretation, as well as the opportunity to connect with other fans who share similar interests.

For those in the MHA fandom, this could mean drawing their favorite hero or villain in a new and exciting way, or coming up with a completely original character that fits within the world of My Hero Academia. Meanwhile, those in the Undertale fandom can take on the challenge of putting their own twist on the game's iconic characters and environments, or even creating new scenarios and alternate endings.

Overall, "draw this in your style" challenges are a great way for fans to express themselves and showcase their talents while also engaging with a wider community of fellow fans.

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Answer:

Natural Numbers (N), is also called positive integers, counting numbers, or natural numbers.

✌✌✌✌

Answer:

Another name of natural number is called counting number.

Answer:

order of operations

Step-by-step explanation:

When you enter a formula with more than one mathematical operation, the formula is not necessarily calculated left to right because excel calculations follow the mathematical rules called the order of operations.

Answer:

The answer is D

Step-by-step explanation:

because if you measure and solve it you get supplementary angles. Also all the angles total equal to 360.

Answer:

i believe its complementary angle

Step-by-step explanation:

Complementary angles are two angles with a sum of 90

i hope this helps

It would take 130.8 minutes for the submersibles to search a single sector without refueling or recalibrating.

To determine the area of one sector, we need to divide the total area into six equal parts.

Since the circular region is divided into six sectors, each sector will cover 1/6th of the total area.

Let's calculate the area of one sector:

Total Area = π × r²

Total Area = π×(0.05 m)²

Total Area= 0.00785 m²

Area of One Sector = (1/6) × Total Area

= (1/6)×0.00785 m²

= 0.001308 m²

The area of one sector is approximately 0.001308 square meters.

Now, let's calculate the time it would take for the submersibles to search a single sector without refueling or recalibrating.

Given:

Each submersible can search 1,000 square meters in 10 minutes.

Total search time before surfacing is 4 hours.

Since there are two submersibles, the total search time will be divided equally between them.

Total search time for each submersible = 4 hours / 2

Total search time for each submersible = 2 hours

Since each submersible can search 1,000 square meters in 10 minutes, the time required to search one sector can be calculated as follows:

Time to search one sector = (Area of One Sector) / (1,000 square meters / 10 minutes)

= 0.001308 m² / (1,000 m² / 10 min)

= 0.001308 m² / (0.001 m²/min)

= 130.8 minutes

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Answer:

D

Step-by-step explanation:

I think...this is a really hard question but D is the one I would choose. Forgive me if I'm wrong

The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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The statement is not true in general. The correct formula relating the second differential equations of y with respect to x and t is:

(d²y)/(dx²) = [(d²y)/(dt²)] / [(d²x)/(dt²)]

This formula is known as the Chain Rule for Second Derivatives, and it relates the rate of change of the slope of a curve with respect to x to the rate of change of the slope of the curve with respect to t. However, it is important to note that this formula only holds under certain conditions, such as when x is a function of t that is invertible and has a continuous derivative.

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a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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Answer:

42x48

Step-by-step explanation:

i)It ended at  21:13

ii) 440*10/100

44 mins longer

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

110% = 440 minutes (Tuesday journey)

100% = 100/110 x 440

100% = 400 minutes (Monday journey)

Tuesday's journey took 40 minutes longer than Monday's journey.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

On Tuesday the train journey took 7 hours and 20 minutes and began at

13:53.

The time train journey ended.

= 13:53 + 7 hours + 20 minutes

= 13 hours + 53 minutes + 7 hours + 20 minutes

= 20 hours + 73 minutes

= 20 hours + 60 minutes + 13 minutes

= 20 hours + 1 hour + 13 minutes

= 21 hours + 13 minutes

This means,

= 21:13

The train ended the journey at 21:13

Tuesday's time of 7 hours and 20 minutes was 10% more than Monday's journey time.

This means,

Converting into minutes.

7 hours 20 minutes

= 60 x 7 + 20 minutes

= 420 minutes + 20 minutes

= 440 minutes

Monday's journey time.

110% = 440 minutes:

100% = 100/110 x 440

100% = 400 minutes

Thus,

Tuesday's journey took 40 minutes longer than Monday's journey.

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The correct option is C, the length of the segment is 8.54 units.

Remember that the length of a segment whose endpoints are (x₁, y₁) and (x₂, y₂) is given by:

L =  √( (x₂ - x₁)² + (y₂ - y₁)²)

Here the endpoints are (-1, 5) and (2, -3), then the length is:

L =   √( (-1 - 2)² + (5 + 3)²)

L = 8.54 units.

So the correct option is C.

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Answer: -48

Step-by-step explanation:

Answer:

x=-14

Step-by-step explanation:

Expand 8(3x+6)

a=8 b=3x c=6

=8*3x+8*6

Simplify; 8*3x+8*6

=24x+48

Expand 9(2x-4)

a=9, b=2x, c=4

=9*2x-9*4

Simplify;9*2x-9*4

=18x-36

24x+48=18x-36

Subtract 48 from both sides;

24x+48-48=18x-36-48

Simplify;

24x=18x-84

Subtract 18x from both sides;

24x-18x=18x-84-18x

Simplify;

6x=-84

Divide both sides by 6;

6x/6=-84/6

Simplify; 6x/6

=x

Simplify ; -84/6

x=-14

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The area of the region above the x-axis and below the curve y = -x² + 2x + 7, where x ∈ [0,1], is approximately 5.6667.

To find the area of the region, we need to integrate the given curve with respect to x over the interval [0,1]. The curve equation is y = -x² + 2x + 7, and we want to calculate the area between this curve and the x-axis within the interval [0,1].

To perform the integration, we start by setting up the definite integral:

∫[0,1] (-x² + 2x + 7) dx

By evaluating this integral, we find the antiderivative of the curve equation and then substitute the upper and lower limits of integration:

∫[0,1] (-x² + 2x + 7) dx = [-x³/3 + x² + 7x] [0,1]

Plugging in the limits of integration, we get:

(-1/3 + 1 + 7) - (0/3 + 0 + 0) = 5.6667

Therefore, the area of the region is approximately 5.6667.

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The value we can use in the series is \($\sum_{k=0}^\infty 1/k^8\).

To check the convergence we consider two series as

Series 1: \($\sum_{k=0}^\infty \frac{k^8}{5(3-6k+3k^6)^2}$\)

Series 2: \($\sum_{k=0}^\infty \frac{k^8 + k^3 + 4k}{5(3-6k+3k^6)^2}$\)

We employ the p-test, which indicates that the series converges if the ratio of succeeding entries in a series approaches a number less than 1. The ratio of successive terms for Series 1 approaches 1, indicating that Series 1 diverges.

We can infer that Series 2 also diverges because Series 1, which is smaller than Series 2, likewise diverges.

Thus, the given series also diverges.

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To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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The length of the tangent in the circular curve is approximately 22.256 meters. To calculate the length of the tangent, we can use the formula:

Length of Tangent = External Distance / tan(Azimuthal Difference / 2)

Given that the external distance is 7.30 m and the azimuthal difference between the forward and back tangents is 37 degrees, we can substitute these values into the formula:

Length of Tangent = 7.30 m / tan(37 degrees / 2)

Now let's solve this expression step by step:

1. Calculate the value inside the tangent function:

  37 degrees / 2 = 18.5 degrees

2. Calculate the tangent of 18.5 degrees:

  tan(18.5 degrees) ≈ 0.328

3. Divide the external distance by the tangent value:

  Length of Tangent = 7.30 m / 0.328 ≈ 22.256 m

In conclusion, by substituting the given values into the formula and performing the calculations, we find that the length of the tangent is approximately 22.256 meters.

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Answer:

C. Supplementary angles

Explanation:

Angles a and b are on the straight line AC.

Recall that the sum of angles on a straight line is 180 degrees.

If two angles add up to 180 degrees, they are said to be Supplementary.

Hence angles a and b are Supplementary angles.

(a) The number of loads that can be expected to occur during a 2-year period can be found using the mean time between loads and the length of the time period. The mean number of loads that occur in a time period of length t can be found using the formula: mean number of loads = λt, where λ is the mean number of loads per unit time.

In this case, λ = 1/0.4 loads/year, so the mean number of loads that occur in a 2-year period is:

mean number of loads = λ * 2 years = 1/0.4 * 2 = 5

So, we can expect 5 loads to occur during a 2-year period.

(b) The probability that more than eight loads occur during a 2-year period can be found using the Poisson distribution. The Poisson distribution gives the probability of a specific number of events occurring in a given time period, given the average rate of events per unit time. In this case, the Poisson distribution can be used to find the probability that more than 8 loads occur in a 2-year period:

P(more than 8 loads) = 1 - P(8 or fewer loads) = 1 - (P(0) + P(1) + ... + P(8))

Where P(k) is the Poisson probability of exactly k loads occurring in a 2-year period. The Poisson probability of exactly k loads occurring can be found using the formula:

P(k) = (λt)^k * e^-λt / k!

So, substituting the values of λ = 1/0.4 and t = 2 into this formula, we can find the probability that more than 8 loads occur:

P(more than 8 loads) = 1 - (P(0) + P(1) + ... + P(8)) = 1 - (0.135 + 0.270 + 0.405 + 0.541 + 0.678 + 0.814 + 0.947 + 1.078 + 1.206) = 1 - 6.590 = -5.59

Since the probability of an event cannot be negative, this result is not meaningful. The probability that more than 8 loads occur during a 2-year period is greater than 1, which is not possible. This indicates that the assumption that the loads follow a Poisson process may not be valid.

(c) To find the time period for which the probability of no loads occurring is at most 0.2, we can solve for t in the equation:

P(0) = (λt)^0 * e^-λt / 0! = e^-λt = 0.2

Taking the natural logarithm of both sides:

-λt = ln(0.2)

And dividing both sides by -λ:

t = -ln(0.2) / λ = 3.5695 / (1/0.4) = 14.2780 years

So, the time period must be at least 14.2780 years in order for the probability of no loads occurring to be at most 0.2.

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Answer:

The equation 13 = 5 + 4x can be solved for x. By subtracting 5 from both sides, we get:

13 - 5 = 5 + 4x - 5

This simplifies to:

8 = 4x

And finally, by dividing both sides by 4, we find that:

x = 2.

x = 2

To solve an equation, it's important to isolate the variable.

Properties of Equality

The properties of equality, often shortened to PoE, explain how equations can be manipulated while remaining true. For this question, it's important to know 2 of the PoEs. First, the subtraction property of equality states that if a number is subtracted from both sides, then the equation is still true. To reword this:

Similarly, the division property of equality states that if a number is divided from both sides, then the equation is still true. Once again to reword this:

Solving for x

We must use these properties of equality to isolate x. Firstly, subtract 5 from both sides.

Then, divide both sides by 4.

So, in the equation above, x equals 2.