Prompt: It's 5:30 AM, and as a helicopter pilot you've just been told there's an injured man on a boat you need to get to a hospital . The boat is going towards where you are a at 10 mph, but is currently 400 miles away. You need to get him as soon as possible, but you only have 6600 lbs of fuel in your helicopter, which burns 1200 lbs per hour and always travels at 150 mph. Also, you need to account for 30 min of fuel spent hovering over the boat to get the man into the helicopter and 1 extra hour of fuel due to helicopter standards. Therefore, when can you depart your station to get the man as soon as possible?​

Answers

Answer 1

Answer:

leave at  1:30 PM

Step-by-step explanation:

10 mph 40 hours 6600/1200 5.5 hr  40/15 2 hr 40 mins 5.5 -.5 =

Answer 2

After two hours there at the meeting place, the helicopter must depart at 1:30 pm to join the boat.

What is Speed ?

Speed is the rate an object travels in a predetermined period of time.

Its speed is expressed in km/h

As per the given information in the question,

If the boat goes to the station ,

Speed of the boat = 10mph

it will take 400/10 = 40 hours.

The helicopter has, 6600 lbs of fuel.

It will take 30 minutes to clean the fisherman and an additional hour to get enough fuel.

1.5 × 1200 = 1800 lbs of fuel.

So, the amount of fuel helicopter now has

6600 - 1800

= 4800 lbs of fuel.

This will allow it to fly for 4 hours as:

4800 lbs/1200 lbs per hour, It can only travel at 150 mph for two hours one way.

= 300 miles distance from the station.

The boat is available at 400 miles, and its maximum flight time at 150 mph is two hours going one way, which is 100 miles from where it is now,

So,

100/10 = 10 hours, the journey to the meeting location will take the boat ten hours.

To reach the boat, which will require 10 hours, the chopper must take off after 8 hours since it will take 2 hours.

So 8 hours of time from 5:30 am will be equal to 1:30 pm.

To know more about Speed:

https://brainly.com/question/28224010

#SPJ2

Your question seems incomplete, probably the complete question is:

A crewman on a fishing boat was injured and needs to be treated in a hospital right away. You are with a Coast Guard station nearest to the boat, but you are 400 miles away. The boat travels at a rate of 10 mph. It is 5:30 A.M. You have a helicopter that can hold 6600 lbs. of fuel, consumes 1200 pounds of fuel an hour, and travels 150 mph. However, you need to save a minimum of 1 hour worth of fuel for landing problems at the Coast Guard station, and you need to have 30 minutes’ worth of fuel to remove the crewman from the boat. You have to create a plan for extracting the crew member. When would you leave and why? Fully explain your answer.


Related Questions

Simplify, write your answer as a power

Answers

Answer:

1. 5⁴

2. d¹⁰

3. w⁶

A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
hours, and distribution approximated by a normal curve. Calculate the percentage of bulbs and total
number of light bulbs that can be expected to last the period of time indicated. Round to the nearest
hundredth for percent, if possible.

Draw the normal curve

What range of hours constitutes 96% of light bulb hours of life?

Between 300 and 700 hours

Less than 600 hours

Answers

Answer:

C. 97.1 should be your answer

Step-by-step explanation:

help need it done for tomorrow ​

Answers

Step-by-step explanation:

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being opposite to the angles.

so,

14/sin(80) = x/sin(60)

x = 14×sin(60)/sin(80) ≈ 12.3cm

Write a system of equations for the following situation. There are a total of 35 questions on a test. Some questions are multiple choice and some are short answers. The multiple choice questions are worth 2 points and the short answer questions are worth 5 points. There are a total of 100 points on the test.​

Answers

Answer:

m + s = 352m + 5s = 100

Step-by-step explanation:

There are a total of 35 questions on a test:

m + s = 35

Points from multiple choice answers = 2m

Points from short answers = 5s

There are a total of 100 points on the test:

2m + 5s = 100
Pens be mPencils be s

The condition is

There are total 35pens to buy.

[tex]\\ \sf\longmapsto m+s=35[/tex]

Each pen costs 2$Each pencil costs 5$You have 100$

[tex]\\ \sf\longmapsto 2m+5s=100[/tex]

Write your answer as an equation with f(x) first, followed by and equals sign.

Answers

Answer:

Step-by-step explanation:Explanation ily/3fcEdSxs[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]

1D. The least prime that is the sum of four different prime numbers is 17 because 17 = 2 + 3 + 5 + 7. What is the least prime greater than 17 that is the sum of four different prime numbers?

Answers

The least prime greater than 17 that is the sum of four different prime numbers is 23

The least prime that is the sum of four different prime numbers is 17

That is, 17 = 2 + 3 + 5 + 7

Prime numbers greater than 17 are 23, 29, 31. 37, 41,........

Prime numbers less than 17 are 2, 3, 5, 7, 11, 13

How can we combine the prime numbers 2, 3, 5, 7, 11, and 13 to give the least prime number greater than 17

The only possible combination is:

2  +  3  +  7  +  11   =  23

Therefore, the least prime greater than 17 that is the sum of four different prime numbers is 23

Learn more here: https://brainly.com/question/25664167

anybody know this at all? ​

Answers

Answer:

perimeter = 4x³ + 3x² + 2

Step-by-step explanation:

perimeter = sum of the lengths of the sides

perimeter = 2x³ + 3x³ - x² - x³ + 4x² + 2

perimeter = 4x³ + 3x² + 2


If j and k are intersecting lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and D?
• A. We can't determine from the given information.
O B. Exactly one
O C. Infinitely many
O D. None

Answers

Answer:

O B. Exactly one

Step-by-step explanation:

The plane ABCD contatins the points ABCD. Three points create a plane, so if you add a fourth point, usually one plane will go through them.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Suppose that Juan can choose to get home from work by car or bus.




When he chooses to get home by car, he arrives home after 7 p.m. 14 percent of the time.

When he chooses to get home by bus, he arrives home after 7 p.m. 62 percent of the time.

Because the bus is cheaper, he uses the bus 83 percent of the time.



What is the approximate probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.?

Answers

Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Arrived home after 7 p.m.Event B: Got home by bus.

The percentages associated with arriving home after 7 p.m. are:

14% of 17%(by car).62% of 83%(by bus).

Hence:

[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]

The probability of both arriving home after 7 p.m. and using bus is:

[tex]P(A \cap B) = 0.62(0.83)[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]

0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

You can learn more about conditional probability at https://brainly.com/question/14398287

Tom walks 3.14 km to the park. He then walks a further 670 m to the shop.
How many km has Tom walked in total?

Answers

Answer:

3.81 km

Step-by-step explanation:

You first have to get the meters into kilometers. The conversion rate for this is 1 meter = 0.001 kilometer.

So multiply 670 by 0.001 which gives you 0.67.

Then add this to the amount he has already walked to get the total amount of kilometers he has walked.

Answer:

3.81 or

[tex]3 \frac{81}{100} [/tex]

Step-by-step explanation:

explanation above

Last week robin ran 15 miles over seven days how many miles did she run per day show or explain how you get your answer

Answers

Answer:

2.14

Step-by-step explanation:

15 miles ➗ 7 days = 2.14

Mackenzie spent $20 at the local farmer’s market. She bought b pounds of blueberries that cost $4 per pound, and r pounds of raspberries that cost $6 per pound. She wrote the equation 4 b + 6 r = 20 to represent the cost of all the fruit. Which is equivalent to Mackenzie’s equation?
b = 5 minus three-halves r
b = 80 minus 240 r
r = StartFraction 10 Over 3 EndFraction + two-thirds b
r = 120 + 240 b

Answers

Answer:

the first option; b = 5 minus three-halves r

Step-by-step explanation:

4b+6r=20

4b=20-6r

b=5-3/2r

Answer: A

Step-by-step explanation: This is the answer for edge 2021 im a student

20 POINTS !!

x^2+y^2+2x+2y=0

x^2+y^2+2x+6y+9=0 solve each system using substitution

Will mark brainlyest if steps are provided

Answers

Answer:

Step-by-step explanation:

x²+y²+2x+2y=0  ...(1)

x²+y²+2x+6y+9=0  ...(2)

subtract (1) from (2)

x²+y²+2x+6y+9-(x²+y²+2x+2y)=0

x²+y²+2x+6y+9-x²-y²-2x-2y=0

4y+9=0

4y=-9

[tex]y=-\frac{9}{4}[/tex]

put in (1)

[tex]x^{2} +(-\frac{9}{4} )^2+2x+2(-\frac{9}{4} )=0\\x^{2} +2x+\frac{81}{16} -\frac{9}{2} =0\\x^{2} +2x+\frac{81-72}{16} =0\\x^{2} +2x=-\frac{9}{16} \\adding 1 \\x^{2} +2x+1=-\frac{9}{16} +1\\(x+1)^2=\frac{-9+16}{16} \\x+1=\pm\sqrt{\frac{7}{16} } \\x=-1 \pm\frac{\sqrt{7} }{4} \\x=\frac{\sqrt{7} -4}{4} \\and\\x=\frac{-\sqrt{7} -4}{4}[/tex]

solution is ((√7-4)/4,-9/4)

and ((-√7-4)/4,-9/4)

greatest from least 2lb., 891 g., 1 kg., 0.02 T.

Answers

Step-by-step explanation:

i think the greatest from is 0.02 T

For reviewing purposes

Answers

Answer:

(25-16)/9=

=9/9=1 because 5^2 is 25 and 3^2 is 9 (5x5)/(3x3)

4800 persons run a marathon, 1200 reach the finish line. What is the percent of people reach the finish line at the marathon?

Answers

Answer: 25%

Step-by-step explanation: So first make the number of people who ran the marathon and the number of people who finished the marathon into a ratio

1200:4800

then make that into a fraction, 1200/4800

then make the percent of people who reached the marathon into a fraction, using 100 as the denominator and a variable as the numerator.

for example. p/100 (p, represents the percent)

then cross multiply.

1200x100=1200000

Last divide 1200000 by 4800 to get 25%.

.15 x (-0.6)
help me please

Answers

I think it would just be −0.09 , becuase your just multiplying right? that should be the answer

The answer is −0.09

It should be simple multiplication.

I hope this helps!

Imagine that you have been asked to write a letter to a 7thgrader. Using academic vocabulary and 5-7 complete sentences, write a letter teaching a 7thgrader about something you have learned in 8thgrade Math this year.
please help me!

Answers

Answer:

step 1: what have you learned?

We cant help you because we do not know what you have learned.

but if you comment your vocab words and what u learned  i can help you  

   Step-by-step explanation:

If (x) - 3x2 - 2x* 4 and g(x) = 5x2 - 6x - 8, find (f + 9) (4),
A. (14 g)(x) = 2x2 - 8x+12
B. (I* (*) - 2x2 4 84 - 12
C. (1 + 9)(x) = 8x2 + 4x - 4
D. (1+ g)(x) = 8x2 + 8x + 12

Answers

Answer:

C

Step-by-step explanation:

3x^2+5x^2-2x+6x+4-8

8x^2+4x-4


l
The ratio of the sides of two similar hexagons is 3:4. If the area of the smaller hexagon is 36 cm2, what is the area of the larger hexagon? (A
hexagon has 6 sides)

Answers

Answer:

64 cm²

Step-by-step explanation:

Given 2 similar figures with ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 3 : 4

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the larger hexagon then by proportion

[tex]\frac{9}{16}[/tex] = [tex]\frac{36}{x}[/tex] ( cross- multiply )

9x = 16 × 36 = 576 ( divide both sides by 9 )

x = 64

Area of larger hexagon = 64 cm²

3/10 = ___ x 1/10
pls help i'll give brainiest

Answers

Answer:

1/10 x 30/10=30/100 then simplify =3/10  

Step-by-step explanation:

Hope I helped please mark brainliest!

The answer is 3

1 3
—-x 3 = ——
10 10

3 is equivalent to 3/1=3 You have to see how many times can 1 go into 3 which is 3 (1x3=3)
—-
1

Find an equation of the line parallel to y=2x+1 and that passes through the point (5,1)

Answers

Answer:

y = 2x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 1 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

To find c substitute (5, 1 ) into the partial equation

1 = 10 + c ⇒ c = 1 - 10 = - 9

y = 2x - 9 ← equation of parallel line

The figure below shows a circular fountain in a park with a garden to be planted with flowers. The parks department wants to plant groups of 2 flowers in the garden per square foot. Garden 3 feet 18 feet Fountain Which is closest to the number of flowers needed to plant in the garden?
A 71 flowers
B. 141 flowers
C 156 flowers
D 255 flowers
E 284 flowers ​

Answers

Answer:  The answer is 284.

Step-by-step explanation:

The area of the garden is an annulus whose,  

Outer diameter = 18 ft  

Inner diameter = 18 ft - 2*3ft = 12 ft

Therefore,  

Outer radius = 18/2 = 9 ft  

Inner radius = 12/2 = 6 ft  

 Area of garden = Area of annulus  

 Area of garden = π*(9 ft)2 - π * (6 ft)2

 Area of garden = 142  

 Given:  

2 flowers are planted per square foot.  

 Therefore for 142 ft2,  

Number of flowers required = 2*142 = 284  

 The answer is 284.

Find n. 36 ÷ n = 4 Need this quick

Answers

[tex]\rule{300}{3}[/tex]

[tex]\text{Hi!}[/tex]

To identify which number is "n", we'll need to divide the numbers that we DO know. For instance:

[tex]\text{36}[/tex] ÷ [tex]\text{4}[/tex] = [tex]\text{9}[/tex]

[tex]\boxed{\text{9}}[/tex]

[tex]\rule{300}{3}[/tex]

2/3 subtracted from 1/2

Answers

Answer:

-1/6

Step-by-step explanation:

[tex]\frac{1}{2}- \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}[/tex]

Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?

PLZ PLZ PLZ explain step by step.​

Answers

First find how many students are sick the second year:
0.20 × 120 = 24
Then all you need to do is subtract:
120 - 24 = 96
So the number of students that got sick this year is:
96 students

Due in an hour help me
Please I have to pass

Answers

Answer:

A is answer

Step-by-step explanation:

Mother is M years old, and she is 4 times as old as her daughter, her age is x+8/x. how much older is the mother than her daughter, Mary?

Answers

[tex]4(x + \frac{8}{x}) - (x + \frac{8}{x}) = 3(x + \frac{8}{x}) = 3x + \frac{24}{x}[/tex]

ok done. Thank to me :>

These are already solved but can someone explain how we got them, steps please! I really need it..

Answers

Answer:

1A,) 5x 2 and 3x are unlike terms and 9x 3 and 2x 2 are also unlike term

* so you have to put the like terms together to solve the equation

*then you say 9x 3 first because it is the biggest number (I think)

* then you put 5x 2 and 2x 2 together and 3x and x together too

* then you will get : 9x 3+ (5x 2 + 2x 2) + (3x -x)

:9x 3 + 7x 2 +2x

Note:

in algebra 3x -x is like saying 3-1 aka x is seen as 1 but the one is invisible

haha

and unlike terms are terms that do not have the same variables or powers while like terms are terms that have the same variables or powers

Last week it snowed 4.32 inches on Monday and 6.86 inches on Tuesday. It Snowed 7.89 inches this week.
How much more did it snow last week than this week?
01.03 inches
O 2.54 inches
0 3.29 inches
O 3.57 inches

Answers

Answer:

3.29

Step-by-step explanation:

4.32+6.86=11.18

11.18-7.89=3.29

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