Answer:
0.27
Step-by-step explanation:
0.1 8
x 0.50
-----------
000
900
x 1800
-----------
2700 = 0.27
Answer:
4
Step-by-step explanation:
It's ok! This is simple. Simply plug in your given values. Since g(x) = -1, plug that into the equation.
g(x) = -x + 3
g(-1) = -(-1) + 3
=1+3
=4
Answer:
22
Step-by-step explanation:
Given the following
GE = 3x - 11 FD = 2x
Let us assume GE is parallel to FD, hence GE = FD
3x - 11 = 2x
3x - 2x = 0+11
x = 11
Get GE
GE = 3x - 11
GE = 3(11)-11
GE= 33 - 11
GE = 22
Hence the length of GE is 22
Silvia has to score a 101 to get an average of 90 for all four tests.
Explanation: 90=(86+81+92+x)/4
360=259+x
101=x
2ty'=4y
Replacing y'=dy/dt in the equation:
2t(dy/dt)=4y
Grouping terms:
dy/y=4dt/(2t)
dy/y=2dt/t
Integrating both sides:
ln(y)=2ln(t)+ln(c), where c is a constant
Using property logarithm: b ln(a) = ln(a^b), with b=2 and a=t
ln(y)=ln(t^2)+ln(c)
Using property of logarithm: ln(a)+ln(b) = ln(ab), with a=t^2 and b=c
ln(y)=ln(ct^2)
Then:
y=ct^2
Using the initial condition: y(2)=-8
t=2→y=-8→c(2)^2=-8→c(4)=-8
Solving for c:
c=-8/4
c=-2
Then the solution is y=-2t^2
Comparing with the solution: y=ct^r
c=-2, r=2
Answer: T<span>he value of the constant c is -2 (c=-2) and the exponent r is 2 (r=2)</span>
