Answer:
Option B is correct
Step-by-step explanation:
The multiply of matrix A by matrix B that is inverse of A, must result in an identity matrix that has form shown in option B
Hope this helps!
Answer:
3 3
6 9
9 15
12 21
Step-by-step explanation:
For the time add 3 each time
For the distance add 6 each time
Hi there!
The question sounds really complex, but the mathematical operations behind it is figuratively simple. Here, we are told to find 19 (18.7 rounded up is 19) percent of 1,000. To do this, we can set up a proportion to model the whole scenario.

Now, just solve for x by cross multiplying and simplifying.



Therefore,
190 people out of 1,000 people leave out pertinent information on their IRS forms. Hope this helped and have a terrific day!
ANSWER:
Total monthly budget in dollar = $3665.
Now,
[i] Percent of taxes,
755/3665 × 100 = 20%
[ii] Percent of housing,
790/3665 × 100 = 22%
[iii] Percent of food,
350/3665 × 100 = 9%
[iv] Percent of savings,
700/3665 × 100 = 20%
[v] Percent of transportation,
245/3665 × 100 = 7%
[vi] Percent of clothing,
110/3665 × 100 = 3%
[vii] Percent of utilities,
185/3665 × 100 = 5%
[viii] Percent of entertainment,
110/3665 × 100 = 3%
[ix] Percent of other spending,
420/3665 × 100 = 11%
Formula for curvature for a well behaved curve y=f(x) is
K(x)= ![\frac{|{y}''|}{[1+{y}'^2]^\frac{3}{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%7C%7By%7D%27%27%7C%7D%7B%5B1%2B%7By%7D%27%5E2%5D%5E%5Cfrac%7B3%7D%7B2%7D%7D)
The given curve is y=7

k(x)=![\frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B7e%5E%7Bx%7D%7D%7B%5B%7B1%2B%287e%5E%7Bx%7D%29%5E2%7D%5D%5E%5Cfrac%7B3%7D%7B2%7D%7D)
![{k(x)}'=\frac{7(e^x)(1+49e^{2x})(49e^{2x}-\frac{1}{2})}{[1+49e^{2x}]^{3}}](https://tex.z-dn.net/?f=%7Bk%28x%29%7D%27%3D%5Cfrac%7B7%28e%5Ex%29%281%2B49e%5E%7B2x%7D%29%2849e%5E%7B2x%7D-%5Cfrac%7B1%7D%7B2%7D%29%7D%7B%5B1%2B49e%5E%7B2x%7D%5D%5E%7B3%7D%7D)
For Maxima or Minima


→
[not possible ∵there exists no value of x satisfying these equation]
→
Solving this we get
x= 
As you will evaluate
<0 at x=
So this is the point of Maxima. we get y=7×1/√98=1/√2
(x,y)=[
,1/√2]
k(x)=![\lim_{x\to\infty } \frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Cto%5Cinfty%20%7D%20%5Cfrac%7B7e%5E%7Bx%7D%7D%7B%5B%7B1%2B%287e%5E%7Bx%7D%29%5E2%7D%5D%5E%5Cfrac%7B3%7D%7B2%7D%7D)
k(x)=
k(x)=0