The distance of plane from the origin is 357.14 miles
<u>Explanation:</u>
Given:
distance traveled southwards, y = 600 miles
Distance traveled east of south, z = 250 miles
Angle, θ = 35°
Distance of plane from the origin, x = ?
The figure is attached for reference:
tan θ = Perpendicular / base
tan θ = distance travelled east of south / x
tan 35° = 250 / x
we know,
tan 35° = 0.7
So,

Therefore, the distance of plane from the origin is 357.14 miles
Derivatives can be calculated from graphed functions.
The values of the derivatives are:
The given parameter is:

Start by calculating the equations of f(x) and g(x)
<u>Graph f(x)</u>
The slopes of f(x) are: 3/2 and -3/2
So, the equations are:


<u>Graph g(x)</u>
The slope of g(x) is: -1/2
So, the equation is:

<u>For x = 1 and x = 2, we have:</u>
So, we have:

Where:
and 
becomes

Open brackets

Differentiate

So:


For x = 3, we have:

Where:
and 
becomes


Differentiate

Substitute 3 for x

Hence, the values of the derivatives are:
,
and 
Read more about graphed functions at:
brainly.com/question/11804653
Based on the information, it is expected Fareed can be assigned to live on any of the floors.
<h3>What condition limits Fareed's assignment?</h3>
The only condition that limits the floor Fareed can be assigned to is that he cannot be immediately below Damaris. This means that as long as Damaris is not immediately above him, he can be assigned to all floors. Here are two possible arrangements:
- Eugenio (5th floor)
- Damaris
- Cindy
- Fareed
- Guzal (1st floor)
- Guzal (5th floor)
- Eugenio
- Damaris
- Cindy
- Fareed (1st floor)
Learn more about arragements in: brainly.com/question/27909921
#SPJ1
Answer:
r = 9.8475 in
Step-by-step explanation:
We assume that the ball is spherical.
The volume of a spherical ball is:

We know that:

Then
![r ^ 3 = \frac{3*4000}{4(\pi)}\\\\r = \sqrt[3]{\frac{3*4000}{4(\pi)}}\\\\r = 9.8475in](https://tex.z-dn.net/?f=r%20%5E%203%20%3D%20%5Cfrac%7B3%2A4000%7D%7B4%28%5Cpi%29%7D%5C%5C%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3%2A4000%7D%7B4%28%5Cpi%29%7D%7D%5C%5C%5C%5Cr%20%3D%209.8475in)
Below is the graph of the cubic function
Answer:
B is your answer
Step-by-step explanation:
The vertical line test is a method that is used to determine whether a given relation is a function or not.
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