Answer:
Step-by-step explanation:
V=4/3πr³
v = 1.33*3.142*9³
v = 3046.39in³
New scale = 3046.39*1.5
= 4,569.59in³
I believe its 2 and 1/2
I'm so sorry if its not but I would guess it is :)
<h2>
Answer:</h2>
a. <-13/2,-13/2>
<h2>
Step-by-step explanation:</h2>
The projection of a vector u onto another vector v is given by;
=
----------------(i)
Where;
u.v is the dot product of vectors u and v
|v| is the magnitude of vector v
Given:
u = <-6, -7>
v = <1, 1>
These can be re-written in unit vector notation as;
u = -6i -7j
v = i + j
<em>Now;</em>
<em>Let's find the following</em>
(i) u . v
u . v = (-6i - 7j) . (i + j)
u . v = (-6i) (1i) + (-7j)(1j) [Remember that, i.i = j.j = 1]
u . v = -6 -7 = -13
(ii) |v|
|v| = 
|v| = 
<em>Substitute these values into equation (i) as follows;</em>
= ![[\frac{-13}{(\sqrt{2}) ^2}][i + j]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B-13%7D%7B%28%5Csqrt%7B2%7D%29%20%5E2%7D%5D%5Bi%20%2B%20j%5D)
= ![\frac{-13}{2} [i + j]](https://tex.z-dn.net/?f=%5Cfrac%7B-13%7D%7B2%7D%20%5Bi%20%2B%20j%5D)
This can be re-written as;
= 
= 
You take out a GCF, greatest common factor.
For this, the first thing to do is to assume that the function of temperature with respect to r is written in one of the following ways:
Way 1:

Way 2:

To find the instant variation we must find the derivative of the temperature with respect to the distance r.
We have then:
For function 1:


Rewriting

For function 2:


Rewriting

Answer:
The instantaneous variation of the temperature with respect to r is given by:
Assuming function 1:

Assuming Function 2:
