(HELP 50 POINTS)
A beach lifeguard wants to create the largest triangular area he can with three lengths of rope to provide beach goers with maximum amount of space to play and swim in the water. Multiple buoys are attached to each rope in order to identify the designated swimming area. The first rope is 42 feet long, the second is 50 feet long, and then the third is 107 feet long. The lifeguard can only cut one of the ropes in order to create a triangle with the largest possible perimeter. How much rope, in feet, will be remaining after the lifeguard creates the designated swimming triangle? (Note: answer should be a whole number.)

Answer:

1500

Step-by-step explanation:

Number of boxes = 12

Number of pencils in each box = 125

Total number of pencils

= 12 × 125

= 1500 pencils

The standard deviation of the restaurant profits in 2021 is given by $71181.

Restaurant profit for outcome 'move to A' = $ 260000

Restaurant profit for outcome 'move to B' = $ 120000

Restaurant profit for outcome 'stay in C' = $ 100000

The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.

Standard deviation of the restaurant profits in 2021 is given by

= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)

= $ √(((100000)² + (40000)² + (60000)²)/3)

= $ √(15200000000/3)

= $ √5066666667

= $ 71181 (rounded to the nearest dollar)

Hence standard deviation of the restaurant profits in 2021 is given by $71181.

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The question is incomplete. The complete question will be -

By solving an expression we will see that the total cost for the tickets is $192.

We know that six families went to the food festival, each family has 2 adults and 4 children, then there are:

6*2 = 12 adults in total.

6*4 = 24 children in total.

We know that each child ticket costs $4, and an adult ticket costs $8, then the total cost of all the tickets is what we get when we solve the expression below:

12*$8 + 24*$4

That is, the number of adults times the cost of an adult ticket plus the number of children times the cost of a children ticket.

The total cost is then:

12*$8 + 24*$4 = $192

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Answer:

Step-by-step explanation:

2(4x-3)≥-3(3x)+5x

8x-6≥-9x+5x

8x≥-4x+6

8x+4x≥6

12x≥6

x≥6/12

or

x≥1/2

The calculated values of x and y in the figure are x = 2 and y = 4

from the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

equal side lengths

This means that

2y - 1 = 3y - 5

Evaluate

y = 4

Next, we have

x + 3 = 3/2x + 2

So, we have

1/2x = 1

This gives

x = 2

Hence, the values of x and y in the figure are x = 2 and y = 4

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Answer:

1,000 days

Step-by-step explanation:

6 tires per minute = 600 per hour

600 per hour times 10 hours = 6,000 per day

Divide 6,000,000 by 6,000 per day = 1000 days.

If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.

In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.

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Number of ball can be fit in 16 by 13 by 16 ft room is 1,472

Given:

Number of ball fit in 3 by 3 by 2 ft room = 8

Find:

Number of ball fit in 16 by 13 by 16 ft room

Computation:

Volume of room = 16 × 13 × 16

Volume of room = 3,328 ft³

Volume of box = 3 × 3 × 2

Volume of box = 18 ft³

Numbers of boxes in room = Volume of room / Volume of box

Numbers of boxes in room = 3,328 / 18

Numbers of boxes in room = 184.889

Numbers of boxes in room = 184 boxes (Approx.)

Number of ball = Numbers of boxes in room × 8

Number of ball = 184 × 8

Number of ball = 1,472 balls

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Answer:

112

Step-by-step explanation:

I just multiplied 14 & 8 and I got 112. I hope this helps.

- Bluewolf

Answer:

The sum is 10 times 11Step-by-step explanation:

Answer:

I just put it into my calculator, but if you don't have one here's how to solve this by hand.

First, figure out what 4 3/10 is. Once you figured that out, you should've gotten 43/10 = 4 3/10. Next do 3 6/10, you should get 18/5 = 3 6/10. This may seem like a useless part but it can help if you have a different learning method or thinking than others. How I found the 43/10 and 18/10 was that if you add the whole number and denominator and add the numerator then you get your sum fraction(s). 43/10 and 18/5.

Since both the original fractions above have a denominator of 10, the final sum will also have a denominator of 10. If you take your calculator and put in 43/10 + 18/5 and hit the = button, you should get 79/10 = 7 9/10.  

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Answer: 1/3

Step-by-step explanation:

In a multiple-choice examination with 3 choices for each question, the probability of guessing the correct answer is 1/3. Since you are trying to guess exactly 6 of 10 answers correctly, this means that you will be guessing incorrectly on 4 of the 10 questions. The probability of guessing incorrectly on a single question is 2/3.

To find the probability of guessing exactly 6 of 10 answers correctly, we can use the binomial probability formula, which is given by the following expression:

P(x) = (n!/(x!(n-x)!) * p^x * (1-p)^(n-x)

In this formula, n is the total number of trials, x is the number of successes, p is the probability of success on a single trial, and 1-p is the probability of failure on a single trial.

Plugging in the values for this problem, we get:

P(6) = (10!/(6!(10-6)!) * (1/3)^6 * (2/3)^4

= 210 * (1/3)^6 * (2/3)^4

= 210 * (1/3^6) * (2/3^4)

= 210 * (1/3^6) * (1/3^2)

= 210 * (1/3^8)

= 210 * (1/6561)

= 0.0322

So the probability of guessing exactly 6 of 10 answers correctly in a multiple-choice examination with 3 choices for each question is approximately 0.0322, or about 3.22%.

Answer:

6666

Step-by-step explanation:

The population of the town X in 2020 is given by the equation

A = 2,88,654

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the population of the town X in 2020 be A

Let the percentage of increase be represented as r

Now , the equation will be

The initial population of Town X be A = 220,000

The increased population in 10 years be B = 252,000

So , the percentage change = [ ( B - A ) / A ] x 100

Substituting the values in the equation , we get

The percentage change r = [ ( 252,000 - 220,000 ) / 220,000 ] x 100

On simplifying the equation , we get

The percentage change r = [ 32,000/220,000 ] x 100

The percentage change r = 0.1454545 x 100

The percentage change r = 14.545 %

Now , the population of the town X in 2020 = ( 14.545 + 100 )% x increased population in 10 years

On simplifying the equation , we get

The population of the town X in 2020 A = ( 114.545 )% x 252,000

The population of the town X in 2020 A = 2,88,654.544

Hence , The population of the town X in 2020 A = 2,88,654

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Answer:

YU = 4.82.  angle STR = 23°

Step-by-step explanation:

7) Angle between U and V = 72°, since angles on a straight line add up to 180°. so angle UV = 180 - 108 = 72°.

similarly, angle YU = 180 - 85 - 72 = 23°.

length of circumference of full circle = π X diameter = π (2r)

= 2πr (radius = half of diameter).

circumference = 2π(12) = 24π.

there are 360° in full circle.

remember that angle YU = 23°.

length YU = (23/360) X 24π

= (23π)/15

= 4.817

= 4.82 to nearest one hundredth.

8) triangle RST sits inside of half the circle, ie in the semicircle.

angle RST = 90° because the angle in a semicircle =  90°.

there are 180° in a full triangle.

since angle RST = 90°, angle STR must be less than 180 - 90.

angle STR < 90°. so STR must be 23°.

Answer:

part A) yes, the bases and heights are the same

Part B) yes, the bases and heights are the same

Part C) not enough info

Step-by-step explanation:

Part C)

area of the circle = π(1/2h)²

area of ellipse = π(1/2h)(1/2 major axis)

Answer:

$172

Step-by-step explanation:

Ok, So $1430 is the total amount PLUS fees and insurance. So 18 months at $89 per month. so do 18*89=1602. $1602-$1430=$172.

So She paid insurance and fees $172.

Answer:

30°

Step-by-step explanation:

The parts are all equal (hopefully or I'm blind ;-;)

so

360/12 = 30

they're all 30°

Answer:

30°

Step-by-step explanation:

The circle is divided into 12 equal parts

The shaded area consists 1/12 of all circle (a whole circle forms a 360° angle)

In order to find how many degrees the shaded part consists of, we need to divide the full angle (360°) of the circle by all the parts (12) into which the circle is divided:

\( \frac{1}{12} \times 360° = 30°\)

The position of each point on the membrane for t>0 is given by u(x,y,t) = x(x-1)y(y-1) + (14+u) c2t.

The position of each point on the membrane can be determined by solving the equation u xx + u yy = c2u, where u is the displacement of the membrane from its equilibrium position and c is the speed of the wave propagation. Since we are given f(x,y) = x(x-1)y(y-1), we can solve this equation to find u. Differentiating f(x,y) twice with respect to x and y gives us the corresponding derivatives of u. Plugging these derivatives into the equation gives us u xx + u yy = (14+u) c2. Solving this equation yields the displacement of each point on the membrane for t>0. Thus, the position of each point on the membrane for t>0 is given by u(x,y,t) = x(x-1)y(y-1) + (14+u) c2t.

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Answer:

I think x should be equal to 0.

Hello!

A + B

= 2x - 19 ° + x + 17 °

= 2x + x - 19 + 17 °

= 3x - 2 °

Answer:144

Step-by-step explanation:

we calculate sum of all the angles inside any figure:

180*(n-2)--->n is number of its sides;

so, it has 4 sides, which, 180*2=360 degrees;

we have it's angles which their sum supposed to give us 360 degrees;

2x-19+x+17+3x+7+2x-37=8x-32

8x-32=360

8x=392

x=49

so, angle A =2x-19=2*49-19=98-19=79

and angle B=x+17=49+17=65

sum of A+B=65+79=144

Answer:

\(3 {x}^{2} - 15x - 18 = 0\)

\( {x}^{2} - 5x - 6 = 0\)

\((x + 1)(x - 6) = 0\)

x = -1 or x = 6

The coordinates of the zeroes are (-1, 0) and (6, 0).

Answer:

3060 ducks

Step-by-step explanation:

There are 2 possibilities here. We can plug in 15 for n since 2025 is 15 years after 2010, or we can graph it and find the value.

If we do the first method, we have

\(P=200*1.02(15)\\P=3060\)

So the population in 2025 is 3060 ducks.

We can check our answer by graphing on a calculator. If we enter the equation and then use calc>value we can see that when x=15, y=3060.

Hope this helps!

Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.

This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.

Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.

Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.

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Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Answer:

H: Plots 1 & 2

Step-by-step explanation: