grain silo consists of a cylindrical main section and a hemispherical roof. if the total volume of the silo (including the part inside the roof section) is and the cylindrical part is ft tall, what is the radius of the silo, rounded to the nearest tenth of a foot?

5.94 minutes is the half-life, or the amount of time it takes to half the substance to degrade (about 6 minutes).

When we use the formula A = A0(1 - r)t,

(1/2)A₀ = A₀(1 - 0.11)t

[Divide both sides by A₀ results in:

1/2 = (0.87)t

Using the log of both sides;:

log(1/2) = log(0.87)t

Using a logarithm property, we can bring the "t" to the front, giving us:

log(1/2) = t.log(0.89)

[Dividing both sides with log(0.89) gets us:

t =  log(1/2)/log(0.89)

Using calculator for soling the values.

t = 5.94 seconds

Thus, 5.94 minutes is the half-life, or the amount of time it takes to half the substance to degrade (about 6 minutes).

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12/35 fraction of the total number is unused from two different cards.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Assuming the total first kind of card form is 1 and the total second kind of card form is also one.

Given, a company buys equal numbers of two different card forms. it utilizes 4/5 of one kind and 6/7 of the other.

∴ The total unused card form is,

= (1 + 1) - (4/5 + 6/7).

= 2 - (28 + 30)/35.

= 2 - 58/35.

= (70 - 58)/35.

= 12/35.

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Answer:

C

just trust me im at the library doing hw for finals week , kind of got distracted by brainly answering your question

The bubble sort algorithm applied to the list of 6, 2, 3, 1, 5, 4 is as follows:

Step 1: 6, 2, 3, 1, 5, 4

Step 2: 2, 6, 3, 1, 5, 4

Step 3: 2, 3, 6, 1, 5, 4

Step 4: 2, 3, 1, 6, 5, 4

Step 5: 2, 3, 1, 5, 6, 4

Step 6: 2, 3, 1, 5, 4, 6

Bubble Sort is an algorithm that consists of repeatedly swapping adjacent elements if they are in wrong order. This algorithm is also known as Sinking Sort.

Bubble Sort works by comparing each element of the list with the adjacent element and swapping them if they are in wrong order. The algorithm continues this process until the list is sorted.

The bubble sort algorithm applied to the list of 6, 2, 3, 1, 5, 4 is as follows:

Step 1: 6, 2, 3, 1, 5, 4

Step 2: 2, 6, 3, 1, 5, 4

Step 3: 2, 3, 6, 1, 5, 4

Step 4: 2, 3, 1, 6, 5, 4

Step 5: 2, 3, 1, 5, 6, 4

Step 6: 2, 3, 1, 5, 4, 6

After the first pass, the largest element will be at the end of the list. After the second pass, the second largest element will be at the end of the list, and so on.

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Answer:

\( \sqrt{ {2}^{5} } \)

Step-by-step explanation:

\(\huge \bigg( {2}^{ \frac{1}{2} }. {2}^{ \frac{3}{4}} \bigg)^{2} \\ \\ \huge = {2}^{ \frac{1}{2} \times 2 }. {2}^{ \frac{3}{4} \times 2} \\ \\ \huge = 2 \times {2}^{ \frac{3}{2} } \\ \\ \huge = {2}^{ \frac{3}{2} + 1 } \\ \\ \huge = {2}^{ \frac{3 + 2}{2} } \\ \\ \huge = {2}^{ \frac{5}{2} } \\ \\ \huge = \sqrt{ {2}^{5} } \)

The probability that a teacher can teach in any department is 2/3.

To find the probability that a teacher can teach in any department,

find the proportion of teachers who teach the whole spectrum of courses taught in a department, which is denoted by x.

Let's denote the proportion of teachers who can teach their favorite courses by y.

The joint density function of x and y is given by

\(f(x,y) = 2(x+y), 0 < x < 1, 0 < y < 1, and x + y < 1\)

To find the probability that a teacher can teach in any department, integrate the joint density function over the region where x > y:

\(P(x > y) = \int\int(x > y) f(x,y) dxdy\)

Split the integration into two parts: one over the region where y varies from 0 to x, and another over the region where y varies from x to 1:

\(P(x > y) = \int[0,1]\int[0,x] 2(x+y) dydx + \int[0,1]\int[x,1-x] 2(x+y) dydx\\P(x > y) = \int[0,1] x^2 + 2x(1-x) dx\\= \int[0,1] (2x - x^2) dx\\= [x^2 - x^3/3]_0^1\)

= 2/3

Therefore, the probability that a teacher can teach in any department is 2/3.

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Answer:

b and e are the correct numbers

Step-by-step explanation:

i hope this helps :)

The answer to this is 23,440. I got this answer by cheating.

sientific calculator. heh.. :)

Hope this helps!!

Answer:

1 hour and 20 minutes

Step-by-step explanation:

Answer:

Total time taken by Natalie to reach the airport is 1 hour and 20 minutes

The required general solution of the differential equation in implicit form y = \([(3/2) * (15x + C) * x^{-3}]^{-3/2}\).

The differential equation is a nonlinear equation and cannot be solved exactly by standard methods. One way to approach a solution is to try to find a substitution that transforms the equation into a separable form, where the variables can be separated and integrated separately. A common approach is to make the substitution y = v^(-2/3), which transforms the equation into:

3x^2 * (2/3) * v^(-5/3) * v' + 6x * v^(-2/3) = 15 * v^(-5/3)

Dividing both sides by v^(-5/3), we get:

3x^2 * (2/3) * v' + 6x * 3 * (2/3) * v^(1/3) = 15

This is now a separable differential equation, and we can integrate both sides to find the general solution:

∫(3x^2 * (2/3) * v' dx) = ∫(15 dx) + C

(2/3) * x^3 * v = 15x + C

v = (3/2) * (15x + C) * x^(-3)

Finally, substituting back for y = v^(-2/3), we get the general solution:

y = \([(3/2) * (15x + C) * x^{-3}]^{-3/2}\)

This is the general solution of the differential equation in implicit form. To find an explicit form, one could solve for C using initial or boundary conditions.

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Answer:

573440 Kg

Step-by-step explanation:

\(\boxed{\bf Mass = density * volume}\)

Find the volume of the solid cube

          Volume of solid cube = side³

                                              = 4 * 4 * 4

                                              = 64 m³

\(\sf Mass = 8960* 64\\\)

        = 573440 Kg

The given problem can be solved using the following formulae and procedures: Failure rate is the frequency with which an engineered system or component fails, normally expressed in failures per million hours (FPMH) or in percentage per year.

Failure rate is calculated using the formula FR = Number of failures / Total time Units of Failure rate is percentage per year or failures per million hours.FR(%): Failure rate in percentage per year FR(N): Failure rate in failures per million hours MTBF: Mean Time Between Failures For the given problem, Number of batteries, n = 5

Design life, L = 72 months

Test results = 1 failure at 24 months, 1 failure at 30 months, 1 failure at 48 months, and 1 failure at 60 months. Failure rate is calculated by using the formula: FR = Number of failures / Total time Since all the batteries have different lifespan, calculate the total time for which batteries were used.

Total time, T = 24 + 30 + 48 + 60T

= 162 months

FR = 4 / 162 FR(%):To convert FR from failures per month to percentage per year, use the formula:

FR(%) = (1 - e^(-FR*t)) x 100%

Where, t = 1 year = 12 months

FR(%) = (1 - e^(-FR*t)) x 100%Putting the given values:0.29% is the annual failure rate of the Everstart battery after the given test. Frequency of Failure (FR(N)) is given by:

FR(N) = (Number of failures / Total time) x 10^6FR(N)

= (4 / 162) x 10^6FR(N)

= 24,691.358 failure per million hours.

Mean Time Between Failures (MTBF) can be calculated using the following formula: MTBF = Total time / Number of failures MTBF = 162 / 4

MTBF = 40.5 months

Therefore,FR(%) = 0.29%, FR(N) = 24,691.358 failures per million hours, and MTBF = 40.5 months.

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The given equation is a recursive formula where a subscript i equals the product of a subscript i-1 and 2, with the initial value of a subscript 1 being -4a.

The equation represents a recursive relationship between the terms of the sequence. Starting with the initial term, a subscript 1, the subsequent terms are determined by multiplying the previous term, a subscript i-1, by 2. This recursive formula can be written as a subscript i = a subscript i-1 * 2.

Given that a subscript 1 = -4a, we can use this initial value to find the subsequent terms of the sequence. To calculate a subscript 2, we substitute i = 2 into the formula:

a subscript 2 = a subscript 2-1 * 2 = a subscript 1 * 2 = -4a * 2 = -8a.

Similarly, for a subscript 3:

a subscript 3 = a subscript 3-1 * 2 = a subscript 2 * 2 = -8a * 2 = -16a.

By applying the recursive formula repeatedly, we can generate the terms of the sequence. Each term is obtained by multiplying the previous term by 2.

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The Quaternary Ammonium solution should be dispersed evenly across the surface of the pool, and the pool should be drained again. After draining, the pool should be refilled with water.

Quaternary Ammonium Compounds (QACs) are a class of positively charged organic compounds that work by destroying bacterial cell membranes.

They're used in pool maintenance to keep the water free of microorganisms that might cause infections. In the killing and cleaning mechanism of bacteria in pool water using Quaternary Ammonium, there are three stages that must be followed.

First, QACs must penetrate the bacterial cell wall, which is accomplished through their positive charge.

Second, QACs will attach to the negatively charged cell membrane.

As a result, the QAC's hydrophobic tail will bind to the bacterial membrane, causing it to destabilize. Finally, the QAC's positively charged head will attach to the negatively charged bacterial cell surface.

This interaction causes the bacterial membrane to break down, causing the bacterium to die. Once the bacteria are destroyed, Quaternary Ammonium Compounds remain in the pool water and may continue to be effective against any microorganisms that enter the water.

In addition, cleaning mechanism of bacteria in pool water with Quaternary Ammonium Compounds must follow a certain protocol to guarantee the effective removal of the microorganisms. First, the pool water should be completely drained and cleaned of debris.

Then, the Quaternary Ammonium solution should be dispersed evenly across the surface of the pool, and the pool should be drained again. After draining, the pool should be refilled with water.

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The equation of the function is y = 60sin(1/15t) + 70 and it will take 92.45 unit of time to reach 100 feet above the ground

The given parameters are:

The function is represented as:

y = Asin(Bt + C) + D

Where:

B = 2π/T

So, we have:

B = 2π/π/30

Evaluate

B = 1/15

The equation becomes

y = 60sin(1/15t + 0) + 70

This gives

y = 60sin(1/15t) + 70

This means that:

t = 100

So, we have:

y = 60sin(1/15* 100) + 70

Evaluate

y = 92.45

Hence, it will take 92.45 unit of time to reach 100 feet above the ground

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The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.

The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.

According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.

Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

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Answer:

5

Step-by-step explanation:

g(x) = 2 - 3x

g(-1) = 2 - 3(-1)

g(-1) = 2 + 3

g(-1) = 5

We are given two paraboloids as:z = (-9/2)(x^2 + y^2)andz = 5 - 2(x^2 + y^2)The volume of the solid enclosed between the two paraboloids is given byV = ∫∫R[(5 - 2(x^2 + y^2)) - (-9/2)(x^2 + y^2)] d\(z = (-9/2)(x^2 + y^2)andz = 5 - 2(x^2 + y^2)\)A

where R is the region in the xy-plane that is bounded by the circular region of radius a centered at the origin.We can rearrange the equation and simplify it as follows:V = ∫∫R (23/2)x^2 + (23/2)y^2 - 5 dAWe will use polar coordinates (r, θ) to evaluate the integral, and the limits of integration for the radius will be 0 and a, and the limits of integration for the angle will be 0 and 2π.

Hence, we can rewrite the integral as:V = ∫[0, 2π] ∫[0, a] (23/2)r^2 - 5r dr dθEvaluating this integral:V = ∫[0, 2π] [23/6 * a^3 - 5/2 * a^2] dθV = 4π [23/6 * a^3 - 5/2\(V = ∫[0, 2π] ∫[0, a] (23/2)r^2 - 5r dr dθ Evaluating this integral:V = ∫[0, 2π] [23/6 * a^3 - 5/2 * a^2] dθV = 4π [23/6 * a^3 - 5/2 * a^2]V = (46/3)πa^3 - 10πa^2\) * a^2]V = (46/3)πa^3 - 10πa^2Hence, the volume of the solid enclosed between the two paraboloids is (46/3)πa^3 - 10πa^2.The explanation has a total of 152 words.

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b. interquartile range is a measure of dispersion.

The correct answer is b. interquartile range.

Here, we have,

The interquartile range is a measure of dispersion that represents the range between the first quartile (25th percentile) and the third quartile (75th percentile) of a dataset. It gives an indication of the spread of the middle 50% of the data and is less affected by outliers compared to the range.

Quartiles (a) and percentiles (c) are positions or values within a dataset and are used to divide the data into equal parts. While they can provide information about the distribution of the data, they are not direct measures of dispersion.

The geometric mean (d) is a measure of central tendency and is calculated as the nth root of the product of n numbers. It is not a measure of dispersion.

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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x = 114.

Hope this helps!!

Answer:

bat puro math pede history lng

Raw data can be calculated by using mathematical operations such as addition, subtraction, multiplication, and division.

This can be done manually or by using a calculator or a computer program .Additionally, statistical methods such as mean, median, mode, and standard deviation can be used to calculate raw data.Raw data can also be manipulated in various ways. For example, data can be sorted, filtered, and organized into categories or hierarchies. Data can also be visualized in graphs, charts, and diagrams to make patterns and trends easier to identify. Statistical methods such as correlation and regression can also be used to analyze and interpret raw data. Additionally, data can be combined with other data sets to create new insights and relationships. Finally, machine learning and predictive analytics can be used to make predictions about future outcomes based on existing data.

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Answer:

1. Take the number after the rise and divide it by 1.02.

2. 52/1.3

3. 135 *1.1

4. 37.40*1.45

Step-by-step explanation:

Using the Pythagorean Theorem we know that the ladder can reach up to the building 85ft.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental Euclidean geometry relationship between the three sides of a right triangle.

This statement states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

So, we have:

Hypotuenese is 70ft long and Height is 25ft long.

Then, the base would be:

c² = a² + b²

70² = 25² + b²

b² = 4,900 - 625

b² = 7,275

b = √7275

b = 85ft

Therefore, using the Pythagorean Theorem we know that the ladder can reach up to the building 85ft.

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The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

37

Step-by-step explanation:

180 - 45 - 98 = 37

Answer:

37. ...... yeah.......

Answer: I believe the answer is d or b

Step-by-step explanation:

The number of pizza pieces left is (x + 4) / 4. Option c

Let's assume the total number of pizza pieces is represented by 'x'.

Kevin takes 1/4 of the total pieces, which is (1/4) * x = x/4.

Keith takes one piece less than twice the number of pieces Kevin took, which is 2 * (x/4) - 1 = (2x/4) - 1 = x/2 - 1.

To calculate the number of pizza pieces left, we need to subtract the sum of Kevin's and Keith's pieces from the total number of pieces (x):

Leftover pieces = Total pieces - (Kevin's pieces + Keith's pieces)

= x - (x/4 + x/2 - 1)

= x - (3x/4 - 1)

= x - 3x/4 + 1

= (4x - 3x + 4) / 4

= (x + 4) / 4

Therefore, the number of pizza pieces left is (x + 4) / 4.

The correct option among the given choices would be (c) 1/2x + 1.

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