88th term of the sequence 4,-1,-6

The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.

Dimensions of outdoor vegetable garden = 2 m × 2 m

Storm rainfall = 0.8 inches of rain

Time of storm = 1 hr(

a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:

Rainfall flux = (Amount of rainfall) / (Area × Time)

Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:

Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)

Converting inches to meters, we get:

1 inch = 0.0254 m

Therefore,

Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr

Converting the rainfall flux to other units:

In kg/hr:

1 kg of water = 1000 g of water

Density of water = 1000 kg/m3

So, 1 m3 of water = 1000 kg of water

So, 1 m2 of water of depth 1 m = 1000 kg of water

Therefore, 1 m2 of water of depth 1 mm = 1 kg of water

Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr

In lbs/hr:

1 lb of water = 453.592 g of water

So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr

In liters/hr:

1 m3 of water = 1000 L of water

So, 1 m2 of water of depth 1 mm = 1 L of water

Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr

In gallons/hr:

1 gallon = 3.78541 L

So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr

(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.

Volume = Area × Depth.

The area of the garden is 2 m × 2 m.

We need to convert the rainfall amount to meters.

1 inch = 0.0254 m

Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m

Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3

Converting the volume to other units:

In liters:

1 m3 of water = 1000 L of water

Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L

In gallons:

1 gallon = 3.78541 L

Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.

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Answer:

3w−11v+12u

Step-by-step explanation:

2u−4v+10u+2w+w−7v

2u-4v+10u+2w+1w-7v

2u−4v+10u+2w+1w−7v

2u+10u−4v−7v+2w+1w

2u+10u −4v−7v +2w+1w

^12u         ^-11v     ^3w

12u -11v+3w

3w−11v+12u

​

The perimeter of the triangle is represented by the expression 3w−11v+12u.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees. The perimeter of the triangle is defined as the sum of all the sides of the triangle.

Given that a triangle has side lengths of (2u-4v)(2u−4v) centimeters, (10u+2w)(10u+2w) centimeters, and (w-7v)(w−7v) centimeters. The perimeter of the triangle is calculated by adding all the sides of the triangle.

E = 2u−4v+10u+2w+w−7v

E = 2u-4v+10u+2w+1w-7v

E = 2u−4v+10u+2w+1w−7v

E = 2u+10u−4v−7v+2w+1w

E = 2u+10u −4v−7v +2w+1w

E = 12u -11v+3w

E = 3w−11v+12u

Therefore, the perimeter of the triangle is represented by the expression 3w−11v+12u.

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Explication étape par étape:

Compte tenu des expressions ';

A = 4 (x + 5) -8

B = x² + 15

Nous devons vérifier si A = B pour les deux valeurs de x à x = 1 et x = 3

à quand x = 1

A = 4 (1 + 5) -8

A = 4 (6) - 8

A = 24-8

A = 16

B = x² + 15

B = 1² + 15

B = 1 + 15

B = 16

Donc à quand x = 1, A = B = 16

quand x = 3

A = 4 (x + 5) -8

A = 4 (3 + 5) -8

A = 4 (8) - 8

A = 32-8

A = 24

B = 3² + 15

B = 9 + 15

B = 24

Également lorsque x = 3, A = B = 24

Cela montre que le postulat d'Emmas est juste.

The numbers in order from least to greatest are: 12, 12.39, 12.62, √146, 12 3/4

We have the following numbers:

12 5/8, 12.62, √146, 12.39, 12 3/4

In order to compare these numbers and determine the order from least to greatest, we can follow these steps:

Convert mixed numbers to decimals:

12 5/8 = 12 + 5/8 = 12.625

12 3/4 = 12 + 3/4 = 12.75

Find the square root of 146:

√146 ≈ 12.083

Now, let's compare the numbers:

12 ≤ 12.39 ≤ 12.62 ≤ 12.083 ≤ 12.75

Therefore, the numbers in order from least to greatest are:

12, 12.39, 12.62, √146, 12 3/4

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Answer:

(x/5)-6 and 3x(19)

Step-by-step explanation:

Answer:

-9+6y

Step-by-step explanation:

:)

The correct sets of parametric equations for the rectangular equation

y = 4/x - 8 are:

a. x = 4/t - 8, y = t

e. x = t - 8, y = 4/t

The correct sets of parametric equations for the given rectangular equation are (a) x = 4/t - 8, y = t and (e) x = t - 8, y = 4/t.

Now let's explain why these sets of parametric equations are correct.

In parametric equations, we express the variables x and y in terms of a parameter, usually denoted by t. The parameter allows us to vary x and y independently.

To find the correct parametric equations for a given rectangular equation, we need to isolate x and y and express them in terms of t.

For option (a), we have x = 4/t - 8 and y = t. By substituting t into these equations, we can retrieve the original rectangular equation y = 4/x - 8.

Similarly, for option (e), we have x = t - 8 and y = 4/t. Substituting t into these equations also gives us the original rectangular equation y = 4/x - 8.

It's important to note that other options presented do not yield the correct result when substituting t back into the original rectangular equation. Therefore, options (a) and (e) are the correct choices for the parametric equations.

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The statistical method that you are referring to is called multiple regression analysis. This method is used to assess the relationship between two variables while controlling for the effects of other variables, also known as covariates.

Multiple regression analysis is a common tool in social science research and is used to explore and explain the relationships between variables.

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When booking a show for a future date, it is normal practice for the booking agent to collect a 50% advance fee when the advances are not given for shows. This is to ensure that the performer is fully committed to performing at the event and to cover any expenses that may be incurred in the process.

The advance fee is usually non-refundable and is paid by the promoter or venue operator to the booking agent. This is to show their commitment to the performer and to demonstrate that they are serious about booking them for the event. The remaining balance is then usually paid on the day of the performance or shortly after.

The booking agent should also ensure that all parties involved in the booking are aware of the terms and conditions and have signed a contract or agreement to confirm their agreement.

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Answer:

Your debt ratio is the total existing balance divided by the total credit limit.

Debt ratio = ($675.49 + $902.43) / ($1,500.00 + $1,000.00) = 1577.92 / 2500.00 = 0.631176 or 63.12%

Payoff time:

To determine the payoff time, you need to first calculate the total interest paid on both cards each month.

Interest on Murk card = $675.49 x 5.6% = $38.06

Interest on Mini card = $902.43 x 9.85% = $89.03

Total interest = $38.06 + $89.03 = $127.09

With a budget of $375 to pay off the credit card debt and paying off the highest interest card first (Mini card), you can calculate the number of months it will take to pay off the debt as follows:

Monthly payment (excluding the last payment) = ($902.43 + $38.06) / (number of months - 1) = $940.49 / (number of months - 1)

Solving for the number of months, you get:

$375 / ($940.49 / (number of months - 1)) = number of months - 1

($375 * (number of months - 1)) / $940.49 = number of months - 1

$375 * (number of months - 1) = $940.49 * (number of months - 1)

$375 = $940.49

number of months - 1 = $375 / $940.49

number of months - 1 = 0.400208

Thus, it will take you approximately 5 months to pay off the debt, including the last payment. The monthly payment (excluding the last payment) will be approximately $375.

Hope this helps!

Answer:

\(x = log_{2}( \frac{4+12 \sqrt{12} }{17} ) \)

Step-by-step explanation:

I have attached the explanation above. hopefully this help

Answer:  \(\Large\boxed{x=log_2\frac{12\sqrt{2}+4}{17}}\)

Step-by-step explanation:                                                                                          \(\displaystyle\ \bigg{2^x-3(2^{x+\frac{1}{2} }})+2^2=0 \qquad ; \ \ \boxed{t=2^x} \\\\t-3t\sqrt{2} +4=0 \\\\ t(1-3\sqrt{2} )=-4 \\\\ t=\frac{4}{3\sqrt{2} -1} \cdot \frac{3\sqrt{2}+1 }{3\sqrt{2}+1 } =\frac{12\sqrt{2}+4}{17} \\\\\\2^x=\frac{12\sqrt{2}+4}{17} \\\\x=log_2 \ \ \frac{12\sqrt{2}+4}{17}\)

Answer:

25 is the answer.....

25 is the answer

Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.

Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.

It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.

Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.

Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.

Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.

To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.

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The expected time for the activity in the network diagram is 7 weeks, and the variance is 1 week.

In project management, the expected time and variance of an activity can be calculated using the PERT (Program Evaluation and Review Technique) formula. The formula takes into account the optimistic time estimate (O), the most likely time estimate (M), and the pessimistic time estimate (P).

To calculate the expected time (TE) for the activity, the formula is as follows: TE = (O + 4M + P) / 6. In this case, the optimistic time estimate is 5 weeks, the most likely time estimate is 7 weeks, and the pessimistic time estimate is 12 weeks. Plugging these values into the formula, we get (5 + 4 * 7 + 12) / 6 = 7 weeks.

The variance (V) of the activity can be calculated using the formula: V = ((P - O) / 6)^2. Substituting the values, we have ((12 - 5) / 6)^2 = 1 week squared.

Therefore, the expected time for the activity in the network diagram is 7 weeks, and the variance is 1 week.

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The Mean Absolute Percent Error (MAPE) is a metric used to assess the accuracy of forecasts MAPE = 0.535 or 53.5%

1. Calculate the absolute errors (|Actual Demand - Forecast|)
2. Find the percentage errors (|Absolute Error / Actual Demand|)
3. Calculate the average of the percentage errors
For the given data, we have the following:
Period 1:\( |800 - 720| = 80\); Percentage Error = \(80 / 800 = 0.1\)
Period 3:\( |1800 - 720| = 1080\); Percentage Error =\( 1080 / 1800 = 0.6\)
Period 4:\( |300 - 720| = 420\); Percentage Error = \(420 / 300 = 1.4\)
Period 5: \(|750 - 720| = 30\); Percentage Error = \(30 / 750 = 0.04\)
Now, find the average percentage error:
\((0.1 + 0.6 + 1.4 + 0.04) / 4 = 2.14 / 4 = 0.535\)
\(MAPE = 0.535 or 53.5%\)
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Answer:

1) 229 Teens

2) (12,-2)

The value of BD in the similar triangle is 4 units.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The triangles are similar .

Therefore, let's use the ratios of the similar triangle to find the side BD.

Let

BD = x

Therefore,

x / 6 = 6 / (5 + x)

cross multiply

x(x + 5) = 6 × 6

x² + 5x = 36

x² + 5x - 36 = 0

x² - 4x + 9x - 36 = 0

x(x - 4) + 9(x - 4) = 0

(x + 9)(x - 4) = 0

x = -9 or 4

Therefore, x(BD) can only be positive.

Hence,

BD = 4

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Answer:

c

Step-by-step explanation:

The probability that it takes Jeremiah more than 6 attempts to make his first shot is 0.178.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

p = 25%

or, p = 0.25

q = 1-p

q = 1-0.25

q = 0.75

To find the probability that it takes Jeremiah more than 6 attempts is given by,

P( M > 6)

= 1 - P( M≤6)

= 1 - P\((1- P)^{M-1}\)

= 1 -  0.25 [ 1 + (0.75) + (0.75)² + (0.75)³ + \((0.75)^4\) + \((0.75)^5\)]

= 1- 0.25 [ 1 + 0.75 + 0.5625 + 0.421875+ 0.31640625 + 0.2373046875]

= 1- 0.25 [3.2880859375]

= 1- 0.822021484375

= 0.177978515625

= 0.178

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Answer:

Yes

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (1, 4)

y = 8x - 4

Step 2: Find

yes.

you just have to check like this: 1 is x and 4 is y.

4 = 8(1) - 4

4 = 8 - 4

4 = 4

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

I am the number 4052. It is rather confusing and i cannot promise that it is correct. Hope it helps : )

Step-by-step explanation:

SI = P × R × T / 100

= 56780 × 3 × 3 / 100

= 5110.2

Answer:

21 kids have to go on the trip to make the museum a better deal

Step-by-step explanation:

Zoo: y=10x+100

Museum: y=5x+200

10x+100=5x+200

5x=100

x=20

When 20 kids go on trip the costs will be the same. Therefore, once 21 kids go the museum will be cheaper then the zoo as it is increasing at a rate of 5 dollars

When testing the null hypothesis with an alpha value of 0.05, the critical value will be larger than if you were testing with an alpha value of 0.01.

If you are testing the null hypothesis with an alpha value of 0.05, the critical value will be smaller than if you were testing the alpha value of 0.01. This is because a smaller alpha value means a more stringent test of significance, which requires stronger evidence to reject the null hypothesis.

Therefore, the critical value is larger for a smaller alpha value to reflect the higher level of evidence required for rejection. Conversely, a larger alpha value allows for a less stringent test of significance, requiring weaker evidence to reject the null hypothesis, which results in a smaller critical value.

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The area of the surface generated by revolving the curve y = 49 - x^2 on the interval [-2, 2] about the x-axis, A = 2π∫[from -2 to 2] (98x - 2πx^3)√(4x^2 + 1) dx

We can use the formula for the surface area of revolution.

The formula for the surface area of revolution is given by:

A = ∫ 2πy√(1 + (dy/dx)²) dx

First, let's find the derivative of y with respect to x:

dy/dx = -2x

Now, let's plug in the values into the surface area formula:

A = ∫[from -2 to 2] 2π(49 - x^2)√(1 + (-2x)²) dx

Simplifying the expression under the square root:

1 + (-2x)² = 1 + 4x^2 = 4x^2 + 1

Now, let's substitute this back into the surface area formula:

A = ∫[from -2 to 2] 2π(49 - x^2)√(4x^2 + 1) dx

Expanding and simplifying:

A = 2π∫[from -2 to 2] (98x - 2πx^3)√(4x^2 + 1) dx

To evaluate this integral, we can use numerical methods or an appropriate software tool. The integral is a bit complex to calculate analytically.

Using numerical integration techniques, such as the trapezoidal rule or Simpson's rule, we can approximate the value of the definite integral and find the area of the surface generated by revolving the curve.

However, since the evaluation of the definite integral involves numerical calculations, the exact value of the area cannot be determined without using specific numerical methods or a software tool.

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9514 1404 393

Answer:

  $48,000 to start, with 6% raises

Step-by-step explanation:

The starting salaries are within a few percentage points of each other, so the majority of the difference in earnings will come because of the raises. The offer with the largest raise percentage is likely the best.

The earnings total can be figured as the sum of a geometric series with a first term of "starting salary" and a growth factor of (1+raise percentage). For starting salary 's' and raise percentage 'r', the total earnings in 6 years will be ...

  S = s((1+r)^6 -1)/r

Here are the total earnings, in thousands, for each of the offers:

  a) s = 49, r = .03, S = 316.95

  b) s = 51, r = .01, S = 313.75

  c) s = 48, r = .06, S = 334.82 . . . . best offer

  d) s = 50, r = .02, S = 315.41

The worker can earn the most from a starting salary of $48,000 and 6% increases each year.

C) a starting salary of $48,000 with a 6% increase each year

Answer: x = 1.6667

Step-by-step explanation:

3x - 2(2) = 1

3x - 4 = 1

3x = 1 + 4

3x = 5

x = 5/3

x = 1.6667

a) The population is all of the flights belonging to the particular airline. It's not all flights in general because the airline does not have control over a rival company's flight schedule.

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

b) The sample is the 5 airlines the company selected. Ideally the sample should represent the population as much as possible. The larger the sample, the more representative the sample is.

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

c) No, the sample is likely not representative because one day of flight does not represent the entire lifetime of all flights done so far for that company. This particular day could have been a very good day with good weather, which may explain why the 5 flights were all on time.

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

d) It would be better for the company to select the days at random and sample all of the flights for those particular days chosen. This is a cluster sample. Each cluster is a day. Also, I think more flights should be sampled. Five flights does not seem like enough.