18 fl per hour into gallons per day
Note: 128 fl= one gallon
24 hours= 1 day

Mr. Titus travels a total of 7476 miles annually between Charlotte, North Carolina, and New York City.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that twelve times a year, Mr. Titus makes the trip from Charlotte to New York City and back. Each round trip covers a total distance of 623 miles.

The total distance will be calculated as:-

Distance = 12 x 623

Distance = 7476 miles

Therefore, Mr. Titus' annual mileage between Charlotte, North Carolina, and New York City is 7476 miles.

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For m >1 the true are f(n) = Omega(g(n),g(n) = Big-O(f(n)),g(n) = Big-O(g(n)) and g(n) = Big-O(g(n) + n).The options that are correct is b,c,e,f.

Let's analyze each option:

a. f(n) = Theta(g(n))

This option is not true because f(n) is not bounded both above and below by g(n). Theta notation requires both upper and lower bounds to hold.

b. f(n) = Omega(g(n))

This option is true because f(n) is bounded below by g(n). Omega notation only requires a lower bound to hold.

c. g(n) = Big-O(f(n))

This option is true because g(n) is bounded above by f(n). Big-O notation requires an upper bound to hold.

d. g(n) = little-omage(f(n))

This option is not true because little-omega notation requires a strictly smaller growth rate, and in this case, f(n) and g(n) have the same growth rate.

e. g(n) = Big-O(g(n))

This option is true because g(n) is bounded above by itself. Big-O notation can be used to describe the upper bound of a function in terms of itself.

f. g(n) = Big-O(g(n) + n)

This option is true because g(n) + n is an upper bound for g(n). Big-O notation allows for tighter upper bounds.

g. f(n) = little-o(f(n))

This option is not true because little-o notation requires a strictly smaller growth rate, and in this case, f(n) has the same growth rate as itself.

h. f(n) = little-o(g(n))

This option is not true because little-o notation requires a strictly smaller growth rate, and in this case, f(n) and g(n) have the same growth rate.

In summary, the true options are:

b. f(n) = Omega(g(n))

c. g(n) = Big-O(f(n))

e. g(n) = Big-O(g(n))

f. g(n) = Big-O(g(n) + n)

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The probable question may be:
Given f(n) = mn and g(n) = 2n for m >1

Indicate which is true:

a. f(n) = Theta(g(n))

b. f(n) = Omega(g(n))

c.g(n) = Big-O(f(n))

d. g(n) = little-omage(f(n))

e. g(n) = Big-O(g(n))

f. g(n) = Big-O(g(n) + n)

g. f(n) = little-o(f(n))

h. f(n) = little-o(g(n))

you need to subtract 2

The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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Answer:

a=14/50 or 28%/0.28

b = the complement would be everything but b

c=36/50

they are reciprocals they are opposites

Step-by-step explanation:

Answer: I’m sorry I meant B

Step-by-step explanation: 9.6/3=3.2

3.2•8=25.6

Answer:

1 1/3 minutes

Step-by-step explanation:

Gasoline is pumped at rate of 3 gallons per minute into a container that already has 4 gallons inside

From the above question, we are to calculate the time at which the gasoline is pumped into the container

Hence:

Time = Number of gallons/Rate

Number of gallons = 4

Rate = 3 gallons per minutes

Hence:

Time = 4 gallons/3 gallon per minutes

Time = 1 1/3 minutes

The time at which the gasoline is pumped into the container is 1 1/3 minutes

Answer:

isosceles obtuse

Step-by-step explanation:

Answer:

$147.46

Step-by-step explanation:

CP= x

SP= x+ 50%= 1.5x

1.5x- 4%= 230.40

1.5x*0.96= 230.4

x= 230.4/1.5*0.96

x= 147.456 ≈ $147.46

Answer:

Step-by-step explanation:

You just combine common variables.

8a^5 -4

3a^5 + a -2

11a^5 + a -6

The solution to the first is 11a^5+a-6.

The second:

3x^2 -2x + 1

-x^2 + 3x + 1

2x^2 + x + 2

2x^2+x+2

Answer:

$53.88

Step-by-step explanation:

27.38+5.3*5

5.3 x 5 = 26.5

27.38 + 26.5 = 53.88

If the Wilson family drove 472 miles in 8 hours. The family that traveled at the higher rate of speed  and  rate is: D: Wilson; 59 mi/h

Using this formula to find the speed

Speed = Distance /Time

Let plug in the formula

Rate of speed for Gonzalez family

Rate of speed  = 342 ÷ 6

Rate of speed = 57 mph

Rate of speed  for Wilson family

Rate of speed = 472 ÷ 8

Rate of speed = 59 mph

Therefore the correct option is D.

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Your net worth change by zero dollars.

Net worth is the difference between asset and liability.  

In other words net worth is the sum of all assets owned by a person or a company, minus any obligations or liabilities.

Therefore, since he took $5,000 out of the bank to purchase a car worth $5,000 his net worth will change by zero dollars.

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Answer:

6

Step-by-step explanation:

She had 20 chocolate pieces and her friends ate 7/10 of them.

20 x 0.7 = 14

20 - 14 = 6 pieces left over

Hope this helps <3

Answer:

\(x = 2\)

Step-by-step explanation:

Using the pythagorean theorem in the right triangle:

\(1^2 + 2^2 = c^2\\1 + 4 = c^2\\c = \sqrt5\)

Using the pythagorean theorem in the left triangle:

\(x^2 + (\sqrt5)^2 = 3^2\\x^2 + 5 = 9\\x^2 = 4\\x = 2\)

A bar graph is the most popular visual representation of quantitative data.

Another name for them is bar charts. One tool used in statistics for data processing is the bar graph. Using a bar diagram, it is simple and quick to compare sets of data among several groupings. On one axis of the graph are discrete numbers, while on the other are categories. The purpose is to illustrate how the two axes are related. Bar charts can also show significant alterations in data over time.

Given,

A bar graph is the most popular visual representation of quantitative data.

b) Bar graph

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If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.

To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).

The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:

C = πr = π(10) = 31.4 inches.

The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:

P = 3s = 3(20) = 60 inches

Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:

Perimeter = C + P = 31.4 + 60 = 91.4 inches.

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Complete Question

This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.

You can use 3.14 as an approximation for π. help i don't know it.

Answer:

v=1

Step-by-step explanation:

Answer:

V = 1

Hope this helped :)

By generating 20 samples of size 100 and calculating the proportions of vacationers who enjoy water parks in each sample, we can assess how closely the samples estimate the percent of all vacationers who enjoy water parks.

To estimate how closely the samples of size 100 reflect the percent of all vacationers who enjoy water parks, we can conduct a simulation using technology.

By generating multiple samples and calculating the proportion of vacationers who enjoy water parks in each sample, we can compare the sample proportions with the known population proportion of 60%.

Using a random number generator or statistical software, we generate 20 samples of size 100. For each sample, we calculate the proportion of vacationers who enjoy water parks by dividing the number of vacationers who enjoy water parks by the total sample size.

After obtaining the sample proportions, we can compare them with the known population proportion of 60%. We can calculate the difference between each sample proportion and 60% to measure how closely the samples estimate the true population proportion.

We can then calculate summary statistics, such as the mean, standard deviation, and confidence interval, to assess the overall accuracy and variability of the sample estimates.

For example, if the average of the sample proportions is close to 60% and the standard deviation is relatively small, it indicates that the samples provide accurate estimates of the population proportion.

On the other hand, if the sample proportions vary widely and deviate significantly from 60%, it suggests that the sample estimates may not accurately reflect the population proportion.

By conducting this simulation with 20 samples of size 100, we can evaluate how closely the samples estimate the percent of all vacationers who enjoy water parks and assess the accuracy and variability of the sample estimates.

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are u oku dont know how.to do that

If the cost of customer acquisition is $50 and the cost of customer retention is $30, then the cost of Software C would be $80,000. This is because 10,000 customers x ($50 acquisition cost + $30 retention cost) = $80,000.

Acquisition cost is the cost associated with obtaining an asset or resource. It includes the purchase price, transportation costs, installation costs, taxes, and any other associated costs.

The cost of Software C can be determined by calculating the total cost of lost customers due to software issues. To do this, companies typically look to the customer lifetime value (CLV) of each customer. CLV is the total revenue generated by a customer over the course of their relationship with the company. By multiplying the CLV by the number of unsatisfied customers, companies can get a good idea of what the cost of Software C is.

For example, if a company has 10,000 customers and their CLV is $100, then the cost of Software C would be $1,000,000. This is because 10,000 customers x $100 CLV = $1,000,000.

The cost of Software C can also be determined by looking at the cost of customer acquisition and retention.

In addition to the cost of lost customers, companies must also factor in the cost of fixing the software issue. This cost can vary depending on the complexity of the issue and the size of the company. Companies should also consider the cost of lost productivity due to the software issue, as well as any other costs associated with the issue.

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Answer:

54665655

Step-by-step explanation:

The risk of explosion in the process industry is 6.6594e-06 per year.

To calculate the risk of explosion, we need to consider the probability of a gas release, the probability of ignition, and the probability of fatal injury.

Step 1: Calculate the probability of an explosion.

The probability of a gas release per year is given as\(1.23 * 10^-^5\).

The probability of ignition is 0.54.

The probability of fatal injury is 0.32.

To calculate the risk of explosion, we multiply these probabilities:

Risk of explosion = Probability of gas release * Probability of ignition * Probability of fatal injury

Risk of explosion = 1.23 * \(10^-^5\) * 0.54 * 0.32

Risk of explosion = 6.6594 *\(10^-^6\) per year

Therefore, the risk of explosion in the process industry is approximately 6.6594 * 10^-6 per year.

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AB = BC = CD = DA ≈ 5.099.Since all four sides of the rectangle have the same length, we can conclude that rectangle ABCD may indeed be a square.

To determine whether rectangle ABCD may be a square, we can use the distance formula to calculate the lengths of its sides. If all four sides have the same length, then the rectangle is a square.

Let's calculate the distances between the points:

Side AB:

Using the distance formula, we have:

AB = √[(x₂ - x₁)² + (y₂ - y₁)²]

AB = √[(2 - 1)² + (-1 - 4)²]

AB = √[1 + 25]

AB = √26 ≈ 5.099

Side BC:

Using the distance formula, we have:

BC = √[(x₂ - x₁)² + (y₂ - y₁)²]

BC = √[(7 - 2)² + (0 - (-1))²]

BC = √[25 + 1]

BC = √26 ≈ 5.099

Side CD:

Using the distance formula, we have:

CD = √[(x₂ - x₁)² + (y₂ - y₁)²]

CD = √[(6 - 7)² + (5 - 0)²]

CD = √[1 + 25]

CD = √26 ≈ 5.099

Side DA:

Using the distance formula, we have:

DA = √[(x₂ - x₁)² + (y₂ - y₁)²]

DA = √[(1 - 6)² + (4 - 5)²]

DA = √[25 + 1]

DA = √26 ≈ 5.099

Comparing the lengths of all four sides, we see that AB = BC = CD = DA ≈ 5.099.

Since all four sides of the rectangle have the same length, we can conclude that rectangle ABCD may indeed be a square.

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Answer:

x=4.66

tan(25)=x/10

10tan(25)=x

4.66=x

The probability that the archer gets exactly 4 bull's-eyes out of 8 shots is approximately 0.191

This is an example of a binomial distribution problem, where the archer has a probability of hitting the bull's-eye of 0.49 for each arrow and we want to know the probability of getting exactly 4 bull's-eyes out of 8 shots.

The probability of getting exactly 4 bull's-eyes out of 8 shots can be calculated using the binomial probability formula

P(X = k) = (n choose k) × p^k × (1-p)^(n-k)

where

X is the number of successes (bull's-eyes)

k is the specific number of successes we want (4 in this case)

n is the total number of trials (8 in this case)

p is the probability of success on a single trial (0.49 in this case)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (also written as "nCk")

Plugging in the numbers, we get

P(X = 4) = (8 choose 4) × 0.49⁴ × (1-0.49)⁴

= (8! / (4! × 4!)) × 0.49⁴ × 0.51⁴

≈ 0.191

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To answer this question, we will set an equation that describes the total cost of each plan after a certain number of visits.

Let n be the number of visits for which both plans cost the same, then we can set the following equation:

Solving the above equation for n we get:

Therefore, a person must make 8 visits for plans A and B to be equal in value.

Answer: 8.

Answer:

34 cubic cm

Step-by-step explanation:

V = \(\frac{4}{3}\)\(\pi\)r³

V = \(\frac{4}{3}\)\(\pi\)(2)³

V = (8)\(\frac{4}{3}\)\(\pi\)

V = 10\(\frac{2}{3}\)\(\pi\)

V = 33.5103216383

33.5 cubic cm --> 34 cubic cm

The answer's: 33cm^3