Answer:
derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )
Step-by-step explanation:
given data:
vector function : r(t) = ta*(b+tc)
a = ( 2,-3.4) . b = (-4,5,-1). c = ( -2,-1,5)
to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution
I'm not sure what you're supposed to round to, but since this is money, I would suggest including the dollar sign in front of the answers and including round to the hundredth's decimal place. Otherwise, you're answers are correct.
Answer: The probability that all 8 people are right handed is about 27.25%.
If the chance a person is left handed, the chance a person is right handed is 85%.
Now, we just need to find the chance that this 85% event happens 8 times in a row.
Simply, multiply it by itself 8 times.
(0.85)^8 = 0.2725
There is a 27.25% chance all 8 people are right handed.
Answer:
- Hence, 75.52 percent of the u.s. population had internet access in 2005.
- After 25 years or in the year 2015 89% have internet access.
Step-by-step explanation:
the percent p of the u.s. population with internet access is given by:
25 p-34 t=1378
where t is the number of years after 1990.
- We are asked to find what percent of the u.s. population had internet access in 2005 i.e. we need to find the value of p after 15 years i.e. t=15.
⇒ 25p-34×(15)=1378
⇒ 25p-510=1378
⇒ 25p=1378+510
⇒ 25p=1888
⇒ p=75.52
Hence, 75.52 percent of the u.s. population had internet access in 2005.
- Next we are asked to find in what year will 89% have internet access?
i.e. we have to find the value of t when we are given p=89
⇒ 25×89-34t=1378
⇒ 2225-34t=1378
⇒ 2225-1378=34t
⇒ 847=34t
⇒ or 34t=847
⇒ t=24.9112≈25
Hence after 25 years 89% will have internet access.
i.e. in the year 2015 89% will have internet access.
The 2 triangles in the big triangle are similar so we can write
3x / 3x - 2 = 5x / 3x
9x^2 = 15x^2 - 10x
6x^2 - 10x = 0
x(6x - 10) = 0
x= 0 or 5/3
