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Neporo4naja [7]
3 years ago
9

Hello I need help with some math homework. PLEASE HELP!!! I'll send an attachment.

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
5 0
PART 1.
Going westward:
Distance: 2400 miles
Rate (this is speed): (450-wind_speed) mph
Time: distance / speed = 2400 / (450-wind speed)

Going eastward:
Distance: 2400 miles
Rate (this is speed): (450+wind_speed) mph
Time: distance / speed = 2400 / (450+wind speed)


PART 2
Formula for speed:
speed = distance / time
Now we solve this for time:
time = distance / speed
11h = 2400 / (450+-wind_speed)

+- sign is put because in one case wind increases speed of plane and in other case it decreases speed.

PART 3
To solve for wind_speed we start by rearranging formula so that we have wind_speed on left side:
(450+-wind_speed) = 2400 / 11
(450+-wind_speed) = 218mph
To fly this distance in 11h speed of plane must be 218mph.
The only way to get this solution is if we substract wind speed:
450-wind_speed = 218
wind_speed = 450-218 = 232mph
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Find the length of the function over the given interval. y = 3x from x = 0 to x = 2
olganol [36]

The length of the function y = 3x over the given interval [0, 2] is 3.2 units

For given question,

We have been given a function  y = 3x

We need to find the length of the function on the interval x = 0 to x = 2.

Let f(x) = 3x where f(x) = y

We have  f'(x) = 3,  so  [f'(x)]² = 9.  

Then the arc length is given by,

\int\limits^a_b {\sqrt{1+[f'(x)]^2} } \, dx\\\\= \int\limits^2_0 {\sqrt{1+9} }\, dx\\\\=\sqrt{10}\\\\ =3.2

This means, the arc length is 3.2 units.

Therefore, the length of the function y = 3x over the given interval [0, 2] is 3.2 units

Learn more about the arc length here:

brainly.com/question/10729208

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3 0
2 years ago
In a certain​ country, the true probability of a baby being a boy is 0.514. among the next nine randomly selected births in the​
Vadim26 [7]

The probability of a baby being a boy is 0.514.

Nine baby births are selected and we have to find the probability that at last one of them is a girl.

P(At least one out of 9 is baby girl) = 1 - P(No baby girl)

= 1 - P(All 9 are baby boy)

= 1 - (0.514)^9

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The probability that at least one out of 9 selected births is baby girl is 0.9975

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A coordinate plane is labeled street on the x-axis and avenue on the y-axis. ping is at point (3, 6) and ari is at point (21, 18
hichkok12 [17]

The gym location is (15th street, 14th Avenue). so the option D is correct.

<h3>What is graph ?</h3>

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

Given :

Ping's residence = (3rd street, 6th Avenue)

Ari's residence = (21st street, 18th Avenue)

Gym location is 2/3 the distance of Ping's residence to Ari's residence

So, distance between Ping's home to Ari's home will be

Distance = (21st street, 18th Avenue) - (3rd street, 6th Avenue)

Distance = (21 - 3) street, (18 - 6) avenue

Distance between ping and Ari will be

= (18th , 12th )

We know that

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Gym distance = (12, 8)

Gym location = Ping's location + gym distance

Gym location = (3rd street, 6th Avenue) + (12th street, 8th Avenue)

Gym location = (15th street, 14th Avenue)

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