Answer:
The acceleration is: a = -2 m/s²
The negative sign indicates that velocity is decreasing with time.
Step-by-step explanation:
Given
- Initial velocity u = 10 m/s
To determine
Acceleration a = ?
Using the formula to determine the acceleration
a = (v - u) / t
substituting u = 10 m/s, v = 0 and t = 5
a = (0 - 10) / 5
a = -10 / 5
a = -2 m/s²
Thus,
The acceleration is: a = -2 m/s²
The negative sign indicates that velocity is decreasing with time.
Answer:
-7/10
Step-by-step explanation:
To find the slope of a line, you need to find the 
between two points. I will be using the points (-3, 5) and (7, -2).
= 
= 
= -7/10
Answer:
So the answer for this case would be n=67 rounded up
Step-by-step explanation:
Information given
represent the sample mean for the sample
population mean
represent the sample standard deviation
n represent the sample size
Solution to the problem
The margin of error is given by this formula:
(a)
And on this case we have that ME =400 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 98% of confidence interval now can be founded using the normal distribution. And the critical value would be 
, replacing into formula (b) we got:
So the answer for this case would be n=67 rounded up
First, you must know these formula d(e^f(x) = f'(x)e^x dx, e^a+b=e^a.e^b, and d(sinx) = cosxdx, secx = 1/ cosx
(secx)dy/dx=e^(y+sinx), implies <span>dy/dx=cosx .e^(y+sinx), and then
</span>dy=cosx .e^(y+sinx).dx, integdy=integ(cosx .e^(y+sinx).dx, equivalent of
integdy=integ(cosx .e^y.e^sinx)dx, integdy=e^y.integ.(cosx e^sinx)dx, but we know that d(e^sinx) =cosx e^sinx dx,
so integ.d(e^sinx) =integ.cosx e^sinx dx,
and e^sinx + C=integ.cosx e^sinxdx
finally, integdy=e^y.integ.(cosx e^sinx)dx=e^2. (e^sinx) +C
the answer is
y = e^2. (e^sinx) +C, you can check this answer to calculate dy/dx
The answer is the second one
