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.
PLEASE EXPLAIN WELL
Answers
The helicopter has to leave at 1:30 pm to meet the boat after 2 hours at the meeting point.
What is Speed ?Speed is the distance covered by an object in a given amount of time.
It is measured in km/h or m/h.
According to the data 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.
For the 30 minutes to remove the fisherman and the 1 hour more fuel is needed, that will consume
1.5 *1200 = 1800 lbs of fuel.
the helicopter now has
6600-1800
= 4800 lbs of fuel for flying.
This will give it 4 hours of flying time as
4800 lbs/1200 lbs per hour
it can only fly one way for 2 hours at 150 mph
= 300 miles distance from the station.
The boat is at 400 miles
boat needs to reach the meeting point 300 miles away from the station.
which is 100 miles from where it is now
100/10 = 10 hours
the boat will need 10 hours to go to the meeting point.
To meet the boat , which will take 10 hours the helicopter must start flying after 8 hours as it will also take 2 hrs
So 8 hours from 5:30 am will be 1:30 pm
The helicopter has to leave at 1:30 pm to meet the boat after 2 hours at the meeting point.
To know more about Speed
https://brainly.com/question/7359669
#SPJ1
Related Questions
Uppose there are three pipes filling a tank. The first pipe can fill the tank in 5 hours. The second pipe can fill the tank in 8 hours. The third pipe can fill the tank in 11 hours. How much of the tank can the first pipe fill in one hour? how much of the tank can the second pipe fill in one hour? how much of the tank can the third pipe fill in one hour?
Answers
Answer:
Step-by-step explanation:
Anyone can help with this?
Answers
The value of x of chord = 5
By definition of circle,
The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.
The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.
⇒ 6 (6 + x) = 7 (7 + 11)
Solve for x;
⇒ 36 + 6x = 7 × 18
⇒ 36 + 6x = 126
⇒ 6x = 126 - 36
⇒ 6x = 90
⇒ x = 15
Thus, The value of x = 5
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ1
A deficiency in the release of vasopressin (antidiuretic hormone [ADH]) by the posterior pituitary gland causes: a. hypoglycemia. b. dwarfism. c. diabetes insipidus. d. none of the above.
Answers
A deficiency in the release of vasopressin (ADH) by the posterior pituitary gland causes diabetes insipidus. Option C
Diabetes insipidus is a condition characterized by the inability of the body to regulate water balance due to a deficiency in the release of vasopressin, also known as antidiuretic hormone (ADH), by the posterior pituitary gland. Vasopressin plays a crucial role in regulating water reabsorption in the kidneys, thereby controlling urine concentration and volume.
When there is a deficiency of vasopressin, the kidneys are unable to properly reabsorb water, leading to excessive urination and increased thirst. This condition is called diabetes insipidus, which is different from diabetes mellitus, a condition related to blood sugar regulation.
Hypoglycemia refers to low blood sugar levels and is not directly associated with a deficiency in vasopressin. Dwarfism, on the other hand, is a condition characterized by stunted growth and is caused by various factors such as genetic mutations or hormonal imbalances, but not specifically by a deficiency in vasopressin.
Learn more about Diabetes insipidus here:
https://brainly.com/question/28475883
#SPJ11
Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:113
Step-by-step explanation:
I’m not really sure but the exterior angle lies on a straight line meaning that it has to amount to 180 degrees. 67 + x =180 so x = 180-67 which is 113. But I’m not entirely sure bout this.
Step-by-step explanation:
67-180=113
x=113
and the third corner =15 degrees
Which ratios form a proportion?
3/4 and 9/16
2/5 and 5/2
2/3 and 8/12
1/6 and 3/8
Answers
Answer:
2/3 and 8/12
hope this helps
have a good day :)
Step-by-step explanation:
What is the end behavior of the function f(x) = -5x³ + 2x² - 4x+6?
O down to the left, up to the right
O up to the left, down to the right
O up to the left, up to the right
Odown to the left, down to the right
Answers
Answer:
O up to the left, down to the right
Step-by-step explanation:
The function in your question will do the same thing that
f(x) = -x³ does.
Actually, even simpler, it will have the same end behavior as
f(x) = -x
which is just a line with negative slope, going down from left to right. The way end behavior is described: up to the left and down to the right.
In fact, all the functions with odd power as the biggest exponent will have the same end behavior.
(If the highest exponent is even, it acts like a parabola up+up or down+down.)
If 7 girls each own 7 dresses and each
of the 7 dresses has 7 different hats to
go with it, how many hats are there?
Answers
7 girls own 7 dresses, and each dress has 7 different hats to go with it then the total number of hats are 49.
What is multiplication?Calculating the sum of two or more numbers is the process of multiplication. It is stated as "a multiplied by b" when two numbers, let's say "a" and "b," are multiplied.
Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number.
What are word problems?A word problem is a type of mathematics exercise where the majority of the problem's context is supplied in spoken language as opposed to mathematical notation. Most word problems incorporate some type of narrative, hence they are sometimes called "story problems," and the quantity of technical jargon they employ can vary.
Given that 7 girls own 7 dresses, and each dress has 7 different hats to go with it then the total number of hats are:
Hats = (7)(7) = 49.
Hence, there are a total of 49 hats.
Learn more about multiplication here:
https://brainly.com/question/1292482
#SPJ1
what is the probability of no significant rainfall on a day, if there was no significant rainfall on the prior day?
Answers
The probability of no significant rainfall on a day, if there was no significant rainfall on the prior day, is dependent on various factors such as the location, climate, and season.
However, assuming a stable weather pattern, the probability of no significant rainfall on a day following a day with no significant rainfall would be higher than if there was significant rainfall on the prior day. This is because weather patterns tend to persist for several days, meaning that if there was no significant rainfall on the prior day, it is more likely that there will be no significant rainfall on the following day as well. Additionally, if the region is experiencing a dry season, the probability of no significant rainfall on a day would be higher regardless of the prior day's weather. The probability of no significant rainfall on a day, given that there was no significant rainfall on the prior day, depends on the weather patterns and climate in your specific location.
To know more about probability visit:
https://brainly.com/question/14210034
#SPJ11
Solve the equation.
-9x + 1 = -x + 17
Answers
Answer:
The value of \(x\):
\(x = -2\)
Step-by-step explanation:
Find the value of \(x\):
\(-9x + 1 = -x + 17\)
-Add both sides by \(x\):
\(-9x + 1 + x = -x + x + 17\)
\(-8x + 1 = 17\)
-Subtract both sides by \(1\):
\(-8x + 1 - 1 = 17 - 1\)
\(-8x = 16\)
Divide both sides by \(-8\):
\(\frac{-8x}{-8} = \frac{16}{-8}\)
\(x = -2\)
So, the final answer would be \(x = -2\) .
Answer:
x=−2
Step-by-step explanation:
−9x+1=−x+17
Add x to both sides.
−9x+1+x=−x+17+x
−8x+1=17
Subtract 1 from both sides.
−8x+1−1=17−1
−8x=16
Divide both sides by -8.
−8x/-8 = 16/-8
Answer:
x=−2
The orbit of a comet in a video game can be defined by the equation (x - 56)^2/150 + (y - 28)^2/256 = 1. Which of the following is true about the path of the comet on the screen?
Check all that apply.
The major axis is horizontal.
The center is at (–56, –28).
The length of the major axis is 32 units.
The length of the minor axis is 150 units.
One of the foci is approximately .
Answers
Answer:
C & E
Step-by-step explanation:
Answer:
C.) The length of the major axis is 32 units.
E.) One of the foci is approximately
Step-by-step explanation:
can i have some help pls
The ratio of boys to girls in a class is 5:7. There are 36 students in the class. How many students are girls?
Answers
Answer:
21
Step-by-step explanation:
Please give me brainliest
Answer:
you need 2 people to answer so here you go
Step-by-step explanation:
bob can buy individual songs for $1.00 to download, or an entire album costs $10.00 to download. he can spend no more than a total of $60. he wants to buy at least three albums, and no more than 35 individual songs. the following system of inequalities represents this situation, where x is the number of individual songs and y is the number of albums. x 10y ≤ 60 x ≤ 35 y ≥ 3
Answers
These inequalities ensure that Bob buys at least three albums, and no more than 35 individual songs, while staying within his budget of $60.
The system of inequalities that represents the situation is:
x + 10y ≤ 60 (total cost cannot exceed $60)
x ≤ 35 (no more than 35 individual songs)
y ≥ 3 (at least three albums)
Here, x represents the number of individual songs and y represents the number of albums.
The first inequality, x + 10y ≤ 60, ensures that the total cost of Bob's purchases does not exceed $60.
The second inequality, x ≤ 35, ensures that Bob does not buy more than 35 individual songs.
The third inequality, y ≥ 3, ensures that Bob buys at least three albums.
Together, these inequalities ensure that Bob buys at least three albums, and no more than 35 individual songs, while staying within his budget of $60.
Note that this system of inequalities assumes that Bob only buys whole albums, and not individual songs from albums. If he buys individual songs from albums, the system of inequalities would be more complex.
Learn more about " inequalities" :
https://brainly.com/question/25275758
#SPJ11
Jack is trying to make extra money on his summer vacation from school. He works two different jobs, earning $9 per hour washing cars and $6 per hour walking dogs. How much money would Jack earn in a week in which he worked 5 hours washing cars and 2 hours walking dogs? How much money would Jack earn in a week in which he worked w w hours washing cars and d d hours walking dogs? 5 hours washing cars and 2 hours walking dogs: w w hours washing cars and d d hours walking dogs:
Answers
Answer:
$57
\(9w+6d\)
Step-by-step explanation:
Given that:
Earnings per hour for washing cars = $9
Earnings per hour for walking dogs = $6
Number of hours for which car washing is done = \(w\)
Number of hours taken for walking dogs = \(d\)
Earnings for \(w\) hours for washing cars = Per hour earnings multiplied by number of hours = $9\(w\)
Earnings for \(d\) hours for walking dogs = Per hour earnings multiplied by number of hours = $6\(d\)
Total earnings by both = $(\(9w+6d\))
Now, given that
Number of hours spent washing cars = 5 hours
Number of hours spent walking dogs = 2 hours
Therefore, total earnings by both = 9 \(\times\) 5 + 6 \(\times\) 2 = $57
Helppppp!!!!!!!!!
I need this before midnight
Answers
Answer:
a) 9am
b) 10am
c) 50 miles
d) 30 minutes
e) 11:30
f) 90 miles
Find the missing side length of the triangle.
Answers
Answer:
c = 10
Explanation:
Use Pythagoras theorem: a² + b² = c²
where 'a' and 'b' are legs and 'c' is the hypotenuse (the longest side)
Here given: a = 8 cm, b = 6 cm, c = ?
Substituting values:
8² + 6² = c²
c² = 64 + 36
c² = 100
c = √100
c = 10
Answer:
10 cm
Step-by-step explanation:
\(a^2=b^2+c^2\)
\(a^2=6^2+8^2\)
\(a^2=100\)
\(\sqrt{a^2}=\sqrt{100\)
a=10
Mary ran 2 miles in about 23 minutes If she continued at the same pace how long will it take her to run 10 miles?
Answers
Enter the values needed to find the
length AB. (Simplify your answer.)
A (-5x, 4y)
AB = (3x)2 + ([?])2
D
E
C (7x, -1y)
Distance Formula
d = V(x2 - x1) + (72 - y)?
B (-2x,1-4y)
![Enter the values needed to find thelength AB. (Simplify your answer.)A (-5x, 4y)AB = (3x)2 + ([?])2DEC](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/gcW5aZGRf4YPUEVgnDpxXl5wrVfbfZun.png)
Answers
Answer: 8y
Step-by-step explanation:
![Enter the values needed to find thelength AB. (Simplify your answer.)A (-5x, 4y)AB = (3x)2 + ([?])2DEC](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/d7S0G0696P4biquBsNgAdgqODbuTOva9.png)
The values needed to find the length AB will be;
⇒ AB = √(3x)² + (- 8y)²
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The coordinate are,
⇒ A = (- 5x, 4y)
⇒ B = (- 2x, - 4y)
Now,
Since, We know that;
The distance between the points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
So, The distance between the points (- 5x, 4y) and (- 2x, - 4y) is,
⇒ d = √ (- 2x - (- 5x))² + (- 4y - 4y)²
⇒ d = √(3x)² + (- 8y)²
Thus, The values needed to find the length AB is find as;
⇒ AB = √(3x)² + (- 8y)²
Learn more about the line segment visit:
https://brainly.com/question/280216
#SPJ2
helppp asap Given:
Prove: ΔKVM ~ ΔBVG
Answers
Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.
For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.
angle M and G are both 90° , this means they are equal.
angle KVM = BVG
therefore angle K = angle B
Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG
learn more about similar triangles from
https://brainly.com/question/14285697
#SPJ1
Chandler was a caretaker at the state zoo. He noticed that the number of animals adopted by the zoo increased at a constant rate every year since 2010.
Which of the following graphs shows the slowest rate at which the animals in the zoo were adopted?
A.
B.
C.
D.
Answers
Solve for x.
5x−2(x+1)=1/4
Answers
Answer: 3/4
Step-by-step explanation:
Let's start with what we know. We have:
5x - 2x - 2 = 1/4
We multiply everything by 4:
12x - 8 = 1
We add 8 to both sides:
12x = 9
We divide by 12:
x = 9/12
We simplify:
x = 3/4
A cylinder has a radius of 6 inches and height of 3 and 3/4 inches. A sphere has a radius of 6 inches. What is the difference between the volume, to the nearest tenth of a cubic inch of the cylinder and sphere
Answers
Answer:
Difference = 480.9 in³
Step-by-step explanation:
Given
Cylinder;
Height, h = 3¾ inches
Radius, r₁ = 6 inches
Sphere
Radius, r₂ = 6 inches
The volume of a cylinder is calculated as thus
Volume, V₁ = πr₁²h
The volume of a sphere is calculated as this
Volume, V₂ = 4/3 πr₂³
Calculating the volume of the cylinder
V₁ = πr₁²h becomes
V₁ = π * 6² * 3¾
V₁ = π * 36 * 3¾
V₁ = π * 36 * 15/4
V₁ = π * 540/4
V₁ = π * 135
V₁ = 135π in³
Calculating the volume of the sphere
V₂ = 4/3 πr₂³ becomes
V₂ = 4/3 * π * 6³
V₂ = 4/3 * π * 216
V₂ = 864/3 * π
V₂ = 288π in³
The difference between the volume is calculated as thus.
Difference = V₂ - V₁
Difference = 288π - 135π
Difference = 153π
Take π as 22/7
Difference = 153 * 22/7
Difference = 480.9 in³ (Approximated)
Write the equation of the line from the graph
(show your work pls)
Answers
I WILL GIVE BRAINLY
Enter values for x and y in the table to plot points in the graph.
Answers
Answer: positive
Y=0.04x-0.77
by-step explanation
Convert 0.4 J to kJ.
Please show working
Answers
Answer:
0.0004
Step-by-step explanation:
divide the energy value by 1000
0.4/1000
what is indicated by a pearson correlation of r = +1.00 between x and y?
Answers
A Pearson correlation coefficient of +1.00 between two variables, X and Y, indicates a perfect positive correlation between them. This means that as the values of X increase, so do the values of Y, and vice versa.
In other words, the two variables are perfectly linearly related, and there is no variability in their relationship. A Pearson correlation coefficient of +1.00 is the strongest possible correlation coefficient, and it suggests that there is a direct and strong association between the two variables being measured.
For example, let's say we have data on the height and weight of a group of individuals. If we find a Pearson correlation coefficient of +1.00 between height and weight, it means that as a person's height increases, their weight will also increase perfectly in a linear fashion. This information can be useful in predicting weight based on height, or vice versa, and can help inform decisions related to health and fitness.
Overall, a Pearson correlation coefficient of +1.00 suggests that the two variables being measured have a strong and direct relationship, which can be useful in many different contexts.
Learn more about Pearson correlation here:
https://brainly.com/question/29879726
#SPJ11
what is -11 + -11 +-11
Answers
Answer:
-33
Step-by-step explanation:
-11 + -11 + -11 = -33
-11 x 3 = -33
Hope this helps you :)
Hey there!
ANSWER: \(-33\)EXPLANATION:\(-11+-11+-11\)
If you want to solve, multiply -11 by 3 because it is being multiplied 3 times.
\(-11*3=-33\\-33(ANSWER)\)
Hope this helps!
\(\text {-TestedHyperr}\)
Multiply the radicals
Answers
Answer:
3r^6
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Find the missing fraction.
___ + 1/16 = 3/2
No links!
Answers
Answer:
23/16
Step-by-step explanation:
3*8/2*8=24/16-1/16=23/16
what is 30% of $240?
Answers
Answer:
72
Step-by-step explanation:
.30×240
72
Answer:
$72
Step-by-step explanation
You need to turn a percent into a decimal. To do that, you move the decimal twice to the left so, 30%=.3.Multiply: 240*.3=72$72Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
I know the first part of the question is solve by54 = N x 120N = 45%How do I find the percent of incorrect answers?
Answers
To determine the percent of incorrect answers:
Out of 120 trigonometry test question, 54 was answered correctly:
Let the number of question with incorrect answer be 120 - 54 = 66
\(\begin{gathered} x\text{ \% 0f 120 =66} \\ \frac{x}{100}\text{ x 120 = 66} \\ \frac{120x}{100}=66 \\ 120x=6600 \\ \text{divide both side by 120} \\ x=\frac{6600}{120} \\ x=55\text{ \%} \end{gathered}\)Hence she answered 55 % incorrectly