answer.
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
Stolb23 [73]
2 years ago
5

The total time T (in hours) needed to fly from New York to Los Angeles and back can be modeled by the equation below, where d is

the distance (in miles) each way, a is the average airplane speed (in miles per hour), and j is the average speed (in miles per hour) of the jet stream. Simplify the equation. Then find the total time it takes to fly 2468 miles when a=510 miles per hour and j=115 miles per hour. Round your answer to the nearest tenth.
A.) Write a model for the total time t (in hours) it takes to complete the race.

B.) How long does it take to complete the race if you can swim at an average speed of two miles per hour? Round your answer to the nearest minute.

[Note: Please help me, I just can’t seem to figure this one out Thank you]

Mathematics
1 answer:
Katena32 [7]2 years ago
7 0

Answer:

Step-by-step explanation:

I understand that there are 2 problems here, that's right?

1, The total time T to fly from New York to Los Angeles:

Time= Distance/average speed

2, The problem with the race:

A) The total time for the race is:

t=\frac{0.5}{r} +\frac{22}{15r} + \frac{6}{r+5}

B) If you can swim at 2 miles per hour, that means r=2.

We replace r=2 and we will find the total time that we need like:

t=\frac{0.5}{2} +\frac{22}{15*2} + \frac{6}{2+5}= 0.25 + 0.73333+ 0.85714=1.84047

For rounding the answer: 1.84047 hours= 110 minutes

You might be interested in
Suppose the average price for new cars in 2012 has a mean of $30,100 and a standard deviation of $5,600. Based on this informati
KatRina [158]

Answer:

($13,300,$46,900)

Step-by-step explanation:

We are given the following in he question:

Mean, μ = $30,100

Standard Deviation, σ = $5,600

Chebyshev's Theorem:

  • According to  theorem atleast 1 - \dfrac{1}{k^2}  percent of data lies within 2 standard deviations of mean.
  • For k = 3,

1 -\dfrac{1}{(3)^2} = 0.889 \approx 89\%

Thus, 89% of data lies within three standard deviation of mean.

\mu - 3(\sigma) = 30100 - 3(5600) = 13300\\\mu + 3(\sigma) = 30100 + 3(5600) = 46900

Thus, we expect at least 89% of new car prices to fall within ($13,300,$46,900)

3 0
2 years ago
Unnithan, Houser, and Fernhall (2006) were interested in whether playing the game Dance Dance Revolution (DDR) met the American
riadik2000 [5.3K]

Answer:

The conclusion that both groups of overweight and non - overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.

Step-by-step explanation:

Inferential statistics is simply a type of research statistic whereby a generalized conclusion is made about a larger group based on representative observations

Now,in the given question, we see that both group hearts were above the minimum recommended for cardiovascular exercise. Now we can infer that the DDR games played by both groups gave them cardiovascular benefits. This conclusion is an example of Inferential statistics where we generalize about a large population based on observations from a small sample.

Thus the conclusion that both groups of overweight and non-overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.

3 0
2 years ago
y = A system of equations. y equals StartFraction one-half EndFraction x minus 6. x equals negative 4.x – 6 x = –4 What is the s
tatiyna

Answer: (-4,-8)

Step-by-step explanation: I got a 100% on the quiz

8 0
2 years ago
Read 2 more answers
Peyton plans to deposit her next paycheck into her savings account.she makes $12.50 per hour and her next paycheck will be h hou
Snowcat [4.5K]

Answer: Current savings account balance

Step-by-step explanation:

since the equation is y = mx + b

mx would be the starting point so she earns 12.50 per hour so it's the current amount she has is 12.50.

Sorry if it dosen't make sense.

5 0
2 years ago
A point is dilated with respect to the origin. Determine the value of K and state whether the dilation is an expansion or contra
vlabodo [156]
Scale Factor (K) = (new length/measure)/ (original length/measure)
for x-coordinate  = 8/2 = 4
for y-coordinate  = 16/4 = 4

K=4, expansion

K is the representation of "scale factor". Scale factor is the ratio of the lengths involved of the similar figures. It can be used to identify the kind of dilation, whether it is contraction or expansion. If the Scale Factor is greater than 1, then that means expansion and if it is less than 1, then it signifies contraction.
5 0
2 years ago
Other questions:
  • Bryan has a square parcel of land that is 120 yards long and 120 yards wide. The land is planted with Bermuda grass and surround
    8·1 answer
  • The table shows the hourly cookie sales by students in grades 7 and 8 at the school's annual bake sale. Grade 7 Grade 8 20 21 15
    7·1 answer
  • A farmer has 13 cows. a bolt of lightning kills all but 5 of them. how many cows survived?
    15·1 answer
  • The Venn Diagram shows the number of bike and skate club members who bike (circle on the left) or skate (circle on the right). C
    7·2 answers
  • The measure of an angle is 62.9 What is the measure of a complementary angle?
    5·1 answer
  • Find the equation of the surface. a standard cone with vertex at (6, 0 , 0) opening up on the positive x-axis.
    5·1 answer
  • Which is the length of the arc MPN expressed in terms of pie?
    6·2 answers
  • Trey paid $42 for 2/3 ton of concrete. He wants to know the price of 3 tons of concrete.
    14·2 answers
  • A pie is made using 2 cups of sugar for every 3 cups of flour. Max knows he needs 15 cups of flour to make enough pies. How many
    14·1 answer
  • A feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second. Write an
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!