Charlie builds sailboats for a shipyard. He builds various sizes of sailboats such that the speed of the sailboat (with the wind), f(x), in knots, largely depends on the length of the sail, x, in feet, and is twice the square root of its length.

Dan also builds sailboats, but for another shipyard. The function gives the relationship between the speed of the sailboat, g(x), in knots, and length of the sail, x, in feet:

Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

Answer:

180 p

Step-by-step explanation:your welcome

Answer:

37

Step-by-step explanation:

Add all the numbers up and you will get 370. How many numbers are there in total? 10 right so you divide 370 with 10 and get 37.

hope this help

Answer:

work = force × distance

Therefore,

work = 3200N × 16m

= 51200J

So,

Power = Work done/ time taken

Therefore,

Power = 51200/30

= 1706.6 ~ 1707W

Hope it helps!

Answer:

The origin is included in the shaded region and the shaded region is below the line.

Explanation:

First, let's graph the line that separates the region: y = 1/3 x + 4

So, to graph the line, we need to find two points in the line as follows:

If x = 0, then y is equal to:

y = 1/3 (0) + 4

y = 4

If x = 3, then y is equal to:

y = 1/3 (3) + 4

y = 1 + 4

y = 5

So, using the points (0, 4) and (3, 5), we get:

Now, we can determine whether the origin is included or not replacing x and y by the coordinates of the origin (0, 0) and determine if this point satisfies the inequality. So:

y < 1/3x + 4​

0 < 1/3(0) + 4

0 < 0 + 4

0 < 4

Since 0 is less than 4, the origin is included in the shaded region, so the shaded region is below the line.

Answer:

Step-by-step explanation:

1) convert all mixed fractions to improper fractions by multiplying whole number with denominator and then adding the result to the numerator:

4*5=20

20+4=24

hence fraction one would be 24/5

fraction 2: 8*3=24

24+1=25

25/3 is fraction 2

\(\frac{24}{5}*\frac{25}{3}\)

noice how 3 is a factor of 24 and 25 is a factor of 5?

we can remove(divide) 3 from 24 and 3 from 3 and 5 from 25 and 5 from 5, this is called cross multiplication

\(\frac{8}{5}\) is the answer

Answer:

4 Dimes

Step-by-step explanation:

You can use the equations you have and solve using either method (graphing, substitution, elimination) substitution works fine!  Since with substitution you to isolate at least one variable, you can use the second equation to get either x or y by itself.  Once you have done that, you can substitute its "value" into the other equation and solve.

so

x(.25) + y(.10) = 4.9

x + y = 22

18(.25) + 4(.20) = 4.9

18 + 4 = 22

x= quarters

y= dimes

The resulting expression is: 6(-0.5x - 2) + 3. to find g(f(x)), we substitute f(x) into g(x). Since f(x) is -0.5x - 2, we replace x in g(x) with -0.5x - 2. Simplifying the expression, we get -3x - 12 + 3, which further simplifies to -3x - 9. Therefore, g(f(x)) is equal to -3x - 9.

To understand the expression g(f(x)), we need to evaluate g(x) after substituting f(x) into it.

Starting with f(x) = -0.5x - 2, we replace x in g(x) with -0.5x - 2. This gives us g(f(x)) = g(-0.5x - 2).

Now, let's evaluate g(x) = 6x + 3 using the substituted value. We replace x in g(x) with -0.5x - 2, giving us g(f(x)) = 6(-0.5x - 2) + 3.

Simplifying further, we distribute the 6 to both terms inside the parentheses: g(f(x)) = -3x - 12 + 3. Combining like terms, we have g(f(x)) = -3x - 9. therefore, the resulting expression for g(f(x)) is -3x - 9.

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The decision-making process involved in Mikaela's decision to attend a Zumba class on Tuesday and Thursday afternoons and make it her regular exercise routine is "escalation."

In the scenario described, Mikaela initially started attending the Zumba class on Tuesday and Thursday afternoons. She found that it gave her a good workout and was satisfied with the results. As a result, she continued attending the class on those days and made it her regular exercise routine. This decision to stick to the same schedule without considering other options or making changes over time is an example of escalation.

Escalation in decision-making refers to the tendency to persist with a chosen course of action even if it may not be the most optimal or efficient choice. It occurs when individuals continue to invest time, effort, and resources into a decision or course of action, even if there may be better alternatives available. In this case, Mikaela has decided to stick with the Zumba class on Tuesday and Thursday afternoons because she found it effective and enjoyable, and she hasn't explored other exercise options since then.

It's important to note that escalation may not always be the best approach in decision-making. It's always a good idea to periodically reassess and evaluate the choices we make to ensure they still align with our goals and needs. Mikaela might benefit from periodically evaluating her exercise routine to see if it still meets her fitness goals and if there are other options she could explore for variety or improved results.

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Answer:

x=15

supplementary angle equals 180

Answer:

y=9x+5

Step-by-step explanation:

-y+9x=-5

-y=-5-9x

y=5+9x

y=9x+5

y=mx+b where m=slope and b=y-intercept

Answer:

r<−0.9

Step-by-step explanation:

Let's solve your inequality step-by-step.

r+0.2<−0.7

Step 1: Subtract 0.2 from both sides.

r+0.2−0.2<−0.7−0.2

r<−0.9

Hi there!

The two pictured angles are vertical angles, making them congruent. Thus:

(5x + 4)° = 39°

Solve for x:

5x = 39 - 4

5x = 35

x = 35/5

x = 7°

Answer:

The very first one is decay and the rest are growth

Step-by-step explanation:

Im SO sorry if i got it wrong

I REALLY hope this helped

Best of luck

The number of subs in the order is 8 or 9

Let's call the number of subs in the order "x".

Since the cost of 3 subs is $20, the cost per sub is $20 / 3 = $6.67.

And since the cost of 4 subs is $26, the cost per sub is $26 / 4 = $6.50.

So the cost per sub is between $6.50 and $6.67.

If the total cost is $56, then the cost per sub must be $56 / x.

So:

x = 56/6.5 or x = 56/6.67

Evalutate

x = 8.6 or x = 8.4

Approximate

x = 9 or 8

Hence, the subs is 8 to 9

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1. The statement can be represented as (~P ∧ H) → L.

2. The negation of the statement (~P ∧ H) → L can be represented as ¬((~P ∧ H) → L).Translating it back to English will be "It is not the case that if the pool may not be used and you may stay at home, then a lifeguard is on duty."

Translating the statement into symbolic notation:

Let P represent "The pool may be used."

Let H represent "You may stay at home."

Let L represent "A lifeguard is on duty."

The statement can be represented as:

(~P ∧ H) → L

Finding the negation in symbolic notation and translating it back to English:

The negation of the statement (~P ∧ H) → L can be represented as ¬((~P ∧ H) → L).

Translating it back to English:

"It is not the case that if the pool may not be used and you may stay at home, then a lifeguard is on duty."

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Answer:

3/4

Step-by-step explanation:

to add fractions you have to let them have the same denominator or bottom number

so to make 3 and 12 the same number you would multiply 3 by 4

when multiplying the bottom number of a fraction by 4 you multiply the top too

so 2/3 becomes 8/12

then you can add

1/12 + 8/12 is 9/12

at the end you can simplify 9/12 into 3/4 by dividing the equation by 3/3 or both the top and bottom by 3

Average waiting time for FCFS: 8.75

Average waiting time for SJF: 4.75

To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:

Schedule order for FCFS:

The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:

Pl -> P2 -> P3 -> P4

Average waiting time for FCFS:

To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P2 | 3 | 10 | 3

P3 | 4 | 6 | 13

P4 | 5 | 1 | 19

Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75

Therefore, the average waiting time for FCFS is 8.75.

Schedule order for SJF:

The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:

Pl -> P4 -> P3 -> P2

Average waiting time for SJF:

To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P4 | 5 | 1 | 3

P3 | 4 | 6 | 6

P2 | 3 | 10 | 10

Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75

Therefore, the average waiting time for SJF is 4.75.

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The two possible locations of point B are (–1, 2) and (–1, –10).

To find the two possible locations of point B, we can use the distance formula:

distance =

\(√[(x₂ - x₁)² + (y₂ - y₁)²]\)

where x₁ and y₁ are the coordinates of point A, and x₂ and y₂ are the coordinates of point B.

We know that the distance between points A and B is 10 units, so we can plug in the values and simplify the equation:

\(10 = √[(-1 - (-9))² + (y - (-4))²]\)

\(10 = √[64 + (y + 4)²]\)

\(100 = 64 + (y + 4)²\)

\(36 = (y + 4)²\)

±6 = y + 4. Solving for y, we get two possible values: y = 2 or y = -10.

These points are located on a vertical line passing through x = –1, with point A being 10 units away in the left direction.

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The lift force pushing up on the plane is approximately 2,625,992 N.

To determine the lift force pushing up on the plane, we'll use the given terms:

plane's speed (725 m/s),

altitude (4000 m),

air density (0.819 kg/m³),

air velocity above the wing (805 m/s),

air velocity below the wing (711 m/s),

and wing area (45.0 m²).

Calculate the pressure difference above and below the wing using Bernoulli's equation.

ΔP = (0.5 × air density × (velocity below wing² - velocity above wing²))
ΔP = (0.5 × 0.819 kg/m³ × (711 m/s² - 805 m/s²))

Calculate the lift force.
Lift Force = ΔP × Wing Area
Lift Force = (-58355.388) × 45.0

Lift Force = -2625992.46 N

Performing the calculations, we find that the lift force pushing up on the plane is approximately 2,625,992 N.

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Answer:

7groups

Step-by-step explanation:

15+6/3=7groups

When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

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Answer:

36

Step-by-step explanation:

(2x2)(3x3)

(4)(9)

36

Answer:

x = 140.3333333........

Step-by-step explanation:

17x+421 = 14x

move the numbers with x's to the left and 421 to the right so it makes

17x then 14x is positive but moved to the opposite side it becomes negative.

Then 421 is positive on the left so moved to the right makes it negative.

Which is 17x-14x=(-421)

then you do 17x mines 14x which is 3x

3x = (-421)

Now your goal is to isolate your variable x. So divide both sides by 3 because x is multiplied by three you need to do the opposite.

x = 140.3333333..........

Answer:

Solution: x = 6;

Extraneous Solution: x = - 2

Step-by-step explanation:

Based on the provided information, the ownership costs for a scraper include the purchase cost of $162,000 (including tires), salvage value of $32,400, and repair costs at 120% of depreciation, while the operating costs consist of fuel cost at $3.90 per gallon with a consumption rate of 0.06 gallons per horsepower per hour, power utilization at 85%, and a use factor of 66.67%, with additional expenses for air filter changes every 200 hours.

In order to determine the ownership and operating costs for a scraper, several pieces of information need to be considered.

Ownership Costs:

Purchase Cost:

The scraper's purchase cost is $162,000, which includes the cost of tires.

Salvage Value:

The estimated salvage value of the scraper is $32,400.

Useful Life:

The scraper has a useful life of 6 years, with an expected usage of 1,400 hours per year.

Tire Life:

The tires of the scraper have a lifespan of 3,500 hours.

Repair Costs:

Repairs to the equipment are estimated to be 120% of the depreciation.

Air Filter:

The air filter needs to be changed every 200 hours and costs $17.00 per change.

Operating Costs:

Fuel Cost:

The fuel cost is $3.90 per gallon, and the scraper's fuel consumption rate is 0.06 gallons per horsepower per hour.

Power Utilization:

The scraper's power utilization, or operating factor, is 85%, meaning it operates 85% of the time.

Use Factor:

The scraper is used for 40 minutes per hour, which is approximately 66.67% of the time.

Rental Costs:

To determine the rental costs of a telescoping forklift, it is necessary to contact a local equipment rental company to obtain the monthly rental rate and information about what costs are included in the rental and what costs the renter must cover additionally.

Supplier Information:

By visiting or contacting a local equipment supplier, one can gather more information about ownership and operation costs specific to the equipment, including any additional costs, maintenance requirements, and available warranties.

In summary, the ownership costs of the scraper include the purchase cost, salvage value, useful life, tire life, repair costs, and air filter expenses, while the operating costs encompass fuel costs, power utilization, and use factor.

The rental costs and additional expenses for a telescoping forklift can be obtained from a local equipment rental company, and more detailed information can be obtained from a local equipment supplier.

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98 degrees is approximately equal to 5.48 radians.

How to convert degree measure to radian measure?

To convert a degree measure to a radian measure, you can use the conversion factor of 180/π.

98 degrees is equal to (98*π)/180 radians

So, 98 degrees is approximately equal to 5.48 radians.

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Answer:

Step-by-step explanation:

7 x 8 = 56 (5 *x) +16

56=5x+16

-16      -16

40=5x

/5   /5

8 =x

The total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

To find the total amount of money earned by Nora over 21 years, we need to calculate the salary for each year and then sum them up.

In the first year, Nora's salary is $40,000.

In the second year, her salary will be increased by 3%, so it will be:

$40,000 + 3% of $40,000 = $40,000 + $1,200 = $41,200.

In the third year, her salary will again increase by 3%, so it will be:

$41,200 + 3% of $41,200 = $41,200 + $1,236 = $42,436.

We can continue this process for each year, adding 3% of the previous year's salary to calculate the next year's salary.

To calculate the total amount of money earned over the 21 years, we need to sum up the salaries for each year. Here's the calculation:

Total = $40,000 + $41,200 + $42,436 + ... (21 terms)

To simplify the calculation, we can use the formula for the sum of an arithmetic series:

Total = (n/2) * (2a + (n - 1)d)

where:

n = number of terms (21 in this case)

a = first term ($40,000)

d = common difference (3% of the previous year's salary)

Plugging in the values:

Total = (21/2) * [2(40,000) + (21 - 1)(0.03)(40,000)]

Simplifying further:

Total = (21/2) * [80,000 + 20(0.03)(40,000)]

= (21/2) * [80,000 + 2,400(40,000)]

= (21/2) * [80,000 + 96,000]

= (21/2) * 176,000

= 21 * 88,000

= 1,848,000

Therefore, the total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

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Answer:

3/4

Step-by-step explanation:

Probability

8 red marbles, 3 blue marbles, and 1 green marble = 12 total marbles

8 red marbles+ 1 green marble = 9 not blue marbles

P ( not blue ) = not blue marbles / total marbles

                     = 9/12 = 3/4

Answer:

9

Step-by-step explanation:

8+3+1=12

12-3=9

umm ok i think i got it wrong or overcomplicated it lol

hope this helped