Step-by-step explanation:
Given:
Taking the partial derivative of the above equation with respect to z, we get
Collecting all terms containing we get
Then
Alright! First you'd subtract the amount of the part ($44) from your total ($179), then you'd divide by the rate of cost ($45). Your equation would be:
($179 - $44) ÷ $45 = h.
Then you solve:
($179 - $44) = $135
($135 ÷ $45) = 3
h = 3.
The answer is 3 hours.
Answer:
The distance between them changing after 10 minutes will be 9.553 mph.
Step-by-step explanation:
The paths of two runners cross at a stop sign (O). One runner is heading south at a constant rate of 6.5 miles per hour towards A while the other runner is heading west at a constant rate of 7 miles per hour towards B.
So, after 10 minutes the first runner covers a distance of miles and the second runner covers a distance of miles.
Therefore, after 10 minutes their distance will be miles.
Now, the distance between them is given by
AB² = OA² + OB²
Now, differentiating this equation with respect to time t (in hours) we get
⇒
⇒
⇒ mph.
Therefore, the distance between them changing after 10 minutes will be 9.553 mph. (Answer)
5 ft + 12 ft = 17 ft
<span>9 in + 3 in = 12 in = 1 ft </span>
<span>17 ft + 1 ft = 18 ft
</span>hope this helps
Answer:
P (X<120)=0
Step-by-step explanation:
We can compute the probability for women:
μ=259 and σ=32
P ( X<120 )=P ( X−μ<120-259 )=P ((X−μ)/σ<(120−259)/32)
Since (x−μ)/σ =Z
and
we have:
Use the standard normal table to find this area.
Now we can find P ( Z<4.34 ) by using the standard normal table which is 1:
Therefore: P (X<120)=0
For men
μ=242 and σ=29
P ( X<120 )=P ( X−μ<120-242 )=P ((X-μ)/σ <(120-242)/29 )
Since (x-μ)/σ=Z
and
we have:
Use the standard normal table to find this area.
Now we can find P ( Z<4.21 ) by using the standard normal table which is 1:
Therefore: P (X<120)=0