Answer:
x=4
Step-by-step explanation:
-2(x+2)=-12
x+2=-12/-2
x+2=6
x=6-2
x=4
Answer:
88 centimeters is the diameter of the cilinder
Step-by-step explanation:
The pressure on both ends of the lift must be the same. Assuming the piston is cilindrical, its area will be A=π*r² where r is half the diameter
Since pressure P=F/A And P1=P2
F1=2000kg.g
A1=π*r²
F2=25kg.g
A2=π*0.05²
2000/(π*r²)=25/(π*0.05²)
and we solve for A1
r²=2000*0.05²/25

r=
20*0.05/5=0.44m or 44cm
This is the radius, meaning that the diameter will be twice this number
Answer:
The rate of change of blood pressure at the 50-pound weight level is 0.26
The rate of change of blood pressure at the 80-pound weight level is 0.16
Step-by-step explanation:
We have, P(x) = 12.9(9 + ln x)
We need to compute the rate of change of blood pressure P(x) so, we will differentiate the function P(x) with respect to x.
P(x) = 12.9(9 + ln x)
P(x) = 116.1 + 12.9ln x
Differentiating with repect to x:
= 0 + 12.9 (
)
= 12.9 (
)
The differential of ln x is
and the differential of constant terms is 0.
The rate of change of blood pressure at the 50-pound weight level can be calculate by substituting 50 in place of x, so
= 12.9 (
)
= 12.9 * (1/50)
= 0.258
= 0.26
Similarly, The rate of change of blood pressure at the 80-pound weight level can be calculate by substituting 80 in place of x, so
= 12.9 (
)
= 12.9 * (1/80)
= 0.16125
= 0.16
Answer:
y = 
Step-by-step explanation:
Step 1: Add -5x to both sides.
5x − 4y + −5x = 28 + −5x
−4y = −5x + 28
Step 2: Divide both sides by -4.

y = 
Answer:
$4.54
Step-by-step explanation:
First, add $12.67 and $together. Then subtract that from $20.