A plane is flying at 25

Zig invested for 0.4 years before Zag (option D).

The formula that can be used to determine the number of years is:

Number of years = \(\frac{Log(\frac{FV}{P}) }{r}\)

Where:

FV = future value

P = present value

r = interest rate

Number of years that Zig invested for  = \(\frac{log(\frac{4763.80}{4000}) }{0.0647}\) =  1.17 years

Number of years that Zag invested for  = \(\frac{log(\frac{3821.66}{3000}) }{0.0676}\) =  1.56 years

Difference = 1.56 - 1.17 = 0.39 years ≈0.4 years

Here is the complete question:

Zig and Zag are best friends from daycare. Zag invested $4,000, earned 6.47% annually, and now has $4,763.80. Zig invested $3,000, earned 6.76% annually, and now has $3,821.66. Zig invested his money---- years -----Zag. 1.1; after 1.1; before 0.4; after 0.4; before

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Answer:

3    

1 $ left over

Step-by-step explanation:

                                 10$

         wood              wood                wood  

           3$                      3$                    3$

          she wood only buy 3 and have 1$ left

Answer:

Step-by-step explanation:

Angle ACB is congruent to Angle DCE

Reason 4: SAS- Side Angle Side

Angle ACB is congruent to Angle DCE

Reason 4: SAS- Side Angle Side is the correct answer to the question

The water level is rising at a rate of 0.0764 cm per second.

Using implicit differentiation, it is found that the water level is rising at a rate of 0.0764 cm per second.

The volume of a cone of radius r and height h is given by:

V = πr²h/3

Applying implicit differentiation, the rate of change is given by:

dV/dt = 2πr/3 dr/dt + πr²/3 dh/dt

In this problem:

The radius is constant, thus dr/dt = 0

Height of 5 cm and radius of 3 cm, thus h = 5, r=3.

Water poured at a rate of 2 cm³/s, thus dV/dt = 2

Then

dV/dt = 2πr/3 dr/dt + πr²/3 dh/dt

2 = 25π/3 dh/dt

dh/dt = 6/25π

dh/dt = 0.0764

The water level is rising at a rate of 0.0764 cm per second.

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Answer:

Please provide more information. Since you don't provide the original amount of walnuts used, we can't solve the problem.

The critical number of the function g(y) is -1/8.

The given function is g(y) = y - 4y^2 - 2y + 8To find the critical points of the given function g(y), we need to follow the below steps:

Step 1: Find the first derivative of the given function g(y) with respect to y.

Step 2: Set the first derivative of g(y) equal to zero.

Step 3: Solve for y to get the critical points of the given function g(y).

Step 1:First, we need to find the first derivative of the given function g(y) with respect to

y.g(y) = y - 4y^2 - 2y + 8

Differentiating with respect to y, we get:g'(y) = 1 - 8y - 2

Step 2:Next, we need to set the first derivative of g(y) equal to zero and solve for y to get the critical points of the given function g(y).g'(y) = 0⇒ 1 - 8y - 2 = 0⇒ -8y - 1 = 0⇒ -8y = 1⇒ y = -1/8

Hence, the critical number of the function g(y) is -1/8.

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Answer:

$4.75

Step-by-step explanation:

Given:

$25

19%

let x = total amount of tip

x = ($25)(19%)

x = $4.75

Answer:

4   5

Step-by-step explanation:

I got it right here.

The factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).

The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.

Given:

(20x² – 12x) + (25x– 15)

or, 4x(5x – 3) + 5(5x – 3)

or, (4x+ 5)( 5x- 3)

Hence, the factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).

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A hypothesis is a tentative explanation that predicts the relationship between two or more variables to be tested, whereas a theory is a more general and established explanation that predicts future outcomes.

A hypothesis is a statement or proposition that is assumed to be true in order to prove or disprove a theorem or conjecture through logical reasoning and mathematical proof.

A theory is a systematic and coherent set of concepts, principles, and mathematical models that explain a wide range of related phenomena and make predictions that can be tested and verified through experimentation or observation.

According to the given information:

In scientific research, a hypothesis is a specific prediction or statement that proposes a possible relationship between two or more variables, which can be tested through experimentation or observation. It is a tentative explanation that seeks to explain an observed behavior or phenomenon, and it can be used to guide future research and experimentation.

On the other hand, a theory is a more general and comprehensive explanation of an observed behavior or phenomenon that has been tested and supported by numerous experiments and observations. A theory can be thought of as a well-established and widely accepted explanation that can be used to predict future outcomes and guide further research.

To summarize, a hypothesis is a specific prediction that can be tested through experimentation or observation, while a theory is a more general and established explanation that has been supported by numerous experiments and observations.

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The distribution used to obtain the critical value in this situation is the Student's t-distribution.

Critical value is a statistical value used to determine whether a hypothesis test result is statistically significant or not. It is the value that is compared to the test statistic to determine whether the null hypothesis should be rejected or not. The critical value is determined by the level of significance chosen for the study, the sampling distribution of the test statistic, and the degrees of freedom.

The Student's t-distribution is a symmetric probability distribution that is used when the population standard deviation is unknown. It is used in situations where there is a small sample size (less than 30) and the sample is drawn from a normally distributed population. In this case, the owner is interested in developing a 90% confidence interval estimate, so the critical value will be obtained from the Student's t-distribution.

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Answer:

135°

Step-by-step explanation:

this is a cyclic quadrilateral, so the sum of opposite sides are 180
hence,

3x+6 + x+2 = 180
4x = 180 - (6+2)
4x = 172
x = 172/4
x = 43

therefore, m∠A is :

3(43) + 6
= 129 + 6
= 135°

hope it helps

Answer:

\(y=-3x+5\)

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

\(y= -3x -5\)

With the given line, we can identify clearly that -3 is in the place of m, making it the slope. Because parallel lines have the same slopes, the slope of the line we're currently solving for would also be -3. Plug this into \(y=mx+b\):

\(y=-3x+b\)

2) Determine the y-intercept (b)

\(y=-3x+b\)

Plug in the given point (1,2) and isolate b

\(2=-3(1)+b\\2=-3+b\)

Add 3 to both sides

\(2+3=-3+b+3\\5=b\)

Therefore, the y-intercept of the line is 5. Plug this back into \(y=-3x+b\):

\(y=-3x+5\)

I hope this helps!

Answer:

Yes

Step-by-step explanation:

P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Answer:

4

Step-by-step explanation:

a. The probability that no boats arrive in a 2-hour period is approximately 0.0003.

b. The probability that 1 boat arrives in a 2-hour period is approximately 0.0023.

c. The probability that 2 boats arrive in a 2-hour period is approximately 0.0466.

d. The probability that 2 or more boats arrive in a 2-hour period is approximately 0.9511.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

Given that boats arrive at the inlet drawbridge according to a Poisson distribution with a rate of 4 per hour, we can use the Poisson probability formula to calculate the probabilities.

The Poisson probability mass function is given by:

P(x; λ) = \((e^{(-\lambda)} * \lambda^x) / x!\)

where x is the number of events, λ is the average rate of events.

(a) To find the probability that no boats arrive in a 2-hour period, we can calculate P(0; λ), where λ is the average rate of events in a 2-hour period. Since the rate is 4 boats per hour, the average rate in a 2-hour period is λ = 4 * 2 = 8.

P(0; 8) = \((e^{(-8)} * 8^0) / 0! = 8e^{(-8)}\) ≈ 0.0003

The probability that no boats arrive in a 2-hour period is approximately 0.0003.

(b) To find the probability that 1 boat arrives in a 2-hour period, we can calculate P(1; λ), where λ is the average rate of events in a 2-hour period (λ = 8).

P(1; 8) = \((e^{(-8)} * 8^1) / 1! = 8e^{(-8)}\) ≈ 0.0023

The probability that 1 boat arrives in a 2-hour period is approximately 0.0023.

(c) To find the probability that 2 boats arrive in a 2-hour period, we can calculate P(2; λ), where λ is the average rate of events in a 2-hour period (λ = 8).

P(2; 8) = \((e^{(-8)} * 8^2) / 2! = (64/2) * e^{(-8)}\) ≈ 0.0466

The probability that 2 boats arrive in a 2-hour period is approximately 0.0466.

(d) To find the probability that 2 or more boats arrive in a 2-hour period, we need to calculate the complement of the probability that 0 or 1 boat arrives.

P(2 or more; 8) = 1 - (P(0; 8) + P(1; 8))

P(2 or more; 8) \(= 1 - (e^(-8) + 8e^{(-8)})\) ≈ 0.9511

The probability that 2 or more boats arrive in a 2-hour period is approximately 0.9511.

Please note that the above probabilities are calculated based on the assumption of a Poisson distribution with a rate of 4 boats per hour.

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Answer:

aₙ= 6n+1

Step-by-step explanation:

7,13,19,25,31

Given, AP with the first term of 7, and common difference of 6

Nth term:

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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Answer:

6m

Step-by-step explanation:

the side of first square = 3 m

area of first square = 3^2= 9 m^2

let the side of second square = x m

since diagonal of first square = x m as per the question

in a square each angle is 90 degree

therefore by applying pythagorus theorem ,

diagonal ^2 = side^2 + side ^2

diagonal^2 = 3^2+3^2=9+9

DIAGONAL= square root of 18

diagonal= 3\(\sqrt{2}\) m = side of second square

therefore in second square ,

one angle is 90  degree , therefore by applying pythagorue theorem

diaqonal^2 = side ^2 + side ^2 = (3\(\sqrt{2}\))^2 + ( 3\(\sqrt{2}\))^2

diagonal ^2 = 18 + 18

diagonal = square root of 36

therefore diagonal of second square is 6m

hope it helps you... please mark me as the brainliest..

Answer:

6m explained it all hope it helps

Answer:

D

Step-by-step explanation:

The parabola is translated down 2 units.

I might be wrong tho.

Answer:

Step-by-step explanation:

Area of triangle with angle of 30°:

\(A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\dfrac{25}4=6.25\)

Area of triangle with angle of 50°:

\(A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\dfrac{25}2\cdot0.766=9.575\)

Area of the rest of the figure:

\(A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087\)

Therefore:

                  \(A=A_1+A_2+A_3=6.25+9.575+61.087=76.912\)

The contents of the priority queue in the uniform cost search algorithm will change as the search progresses and will depend on the specific problem being solved and the initial state of the search. The priority queue will contain nodes that have been visited but not yet expanded, sorted based on their path cost from the start node.

The contents of the priority queue in the uniform cost search algorithm will depend on the specific problem being solved and the initial state of the search.

In general, the uniform cost search algorithm expands the node with the lowest path cost from the start node to that node. As the search proceeds, it adds new nodes to the priority queue with their associated path costs. The priority queue is then sorted based on the path cost of each node, with the node with the lowest path cost at the front of the queue.

As the search progresses, the priority queue will contain the nodes that have been visited but not yet expanded. The order of nodes in the priority queue will depend on their path cost from the start node. The uniform cost search algorithm will continue to expand nodes from the priority queue until it reaches the goal state or until the entire search space has been explored.

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Step-by-step explanation:

the median = 140

the interquartile range = 141-138 = 3

Answer: The other guy is correct. You guys should give him 5 stars and Mark him brainliest.