1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Taya2010 [7]
3 years ago
12

An airplane is flying at an altitude of 40,000 feet. To avoid turbulence the pilot descends at a rate of 2,000 feet / minute for

3 minutes. He continues flying at this altitude until he decides the turbulence is over; then he ascends at a rate of 1,500 feet minute for 5.5 minutes. At what altitude is the plane now flying?​
Mathematics
1 answer:
FromTheMoon [43]3 years ago
5 0

Answer:

The plane is now flying at an altitude of 42,250 feet.

Step-by-step explanation:

Initially, he is at an altitude of 40,000 feet.

Descends at a rate of 2,000 feet / minute for 3 minutes.

So his altitude is now:

40,000 - 3*2,000 = 34,000

Ascends at a rate of 1,500 feet minute for 5.5 minutes.

The plane is now flying at an altitude of:

34,000 + 1,500*5.5 = 42,250

The plane is now flying at an altitude of 42,250 feet.

You might be interested in
Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1
crimeas [40]

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is r=10\%

Future value is given by s=1000e^{0.1t}

For the investment to double itself, i.e. s=2000

\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}

It takes around 6.93 years to double the investment.

8 0
3 years ago
If Mark got 6 questions out of 40 incorrect, what percent of the questions did he get correct?
romanna [79]
6/40 6.0/40.0 because it’s decimal and percentage wiser
6 0
3 years ago
According to the Centers for Disease Control, about 18% of adolescents age 12-19 are obese. Suppose we take a random sample of 3
ivann1987 [24]

Answer:

the sampling distribution of proportions

Step-by-step explanation:

A sample is a small group of observations which is a subset of a larger population containing the entire set of observations. The proportion of success or measure of a certain statistic from the sample, (in the scenario above, the proportion of obese observations on our sample) gives us the sample proportion. Repeated measurement of the sample proportion of this sample whose size is large enough (usually greater Than 30) in other to obtain a range of different proportions for the sample is called the sampling distribution of proportion. Hence, creating a visual plot such as a dot plot of these repeated measurement of the proportion of obese observations gives the sampling distribution of proportions

6 0
3 years ago
the diagram shows a star made by surrounding a regular octagon with triangles, explain why angle a must be 135 degrees
horsena [70]

Answer:

From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees

Step-by-step explanation:

Given that the triangles are eight in number we have;

1)  (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down

2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns

3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top

4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°

5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew

6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.

6 0
3 years ago
Which equation graphs as a vertical line with an undefined slope? A) y = 3x B) x = 2 3 C) y = 2 3 D) y = − 2 3 x + 1
kenny6666 [7]

Answer:

<h2>B) x = 2/3</h2>

Step-by-step explanation:

y = a - horizontal line   (a - any real number) - slope = 0

x = a - vertical line   (a - any real number) - undefined slope

y = mx + b - diagonal line (m - any real number except 0, b - any real number) - m - slope

3 0
3 years ago
Other questions:
  • If the heights of 300 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many studen
    6·1 answer
  • If 35% of a number is 17.5, what is 90% of the<br> number?
    14·1 answer
  • How many solutions does the equation have |r-6|=0
    12·1 answer
  • The distance traveled by a car going 65 miles per hour for 3.5 hours is
    14·1 answer
  • To save money, a local charity organization wants to target its mailing requests for donations to individuals who are most suppo
    9·1 answer
  • Brainiest <br><br><br>I Am Struggling With Two Questions :?<br> This is one of the two
    8·1 answer
  • I am confused about how to solve letter d in activity 1 on the file below
    8·1 answer
  • What os the answer on 4<br> it is saying what is the value of 9
    8·1 answer
  • Sam makes $15 for every lawn that he mows. He
    8·1 answer
  • Determine the value of x. Assume the segments that appear tangent<br> are tangent
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!