Answer:
the last one(y=2(2/3)^x) is the correct answer
Step-by-step explanation:
I identify two coordinate on the graph (0,2) and (1,3) and I noticed only the last one gives you a appropriate output if you plug the correspond input value
Answer:
The correct answer is 25
Step-by-step explanation:
See the attached figure.
SAS similarity theorem mean that when two triangles have corresponding angles are congruent and corresponding sides with identical ratios the triangles are similar.
So, if ΔONM similar ΔSRQ by the SAS similarity theorem
∴∠N = ∠R
And
given that NM = 10 , NO = 8 , QR = x , RS = 20
∴
∴
So, the value of x will make ONM similar SRQ by the SAS similarity theorem = 25
Answer:
C = 5.
Step-by-step explanation:
First, you need to remember that:
For the function:
h(x) = Sinh(k*x)
We have:
h'(x) = k*Cosh(k*x)
and for the Cosh function:
g(x) = Cosh(k*x)
g'(x) = k*Cosh(k*x).
Now let's go to our problem:
We have f(x) = A*cosh(C*x) + B*Sinh(C*x)
We want to find the value of C such that:
f''(x) = 25*f(x)
So let's derive f(x):
f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)
and again:
f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)
f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)
And we wanted to get:
f''(x) = 25*f(x) = C^2*f(x)
then:
25 = C^2
√25 = C
And because we know that C > 0, we take the positive solution of the square root, then:
C = 5
Answer:
y ≥ 3x -1; x +3y ≤ 6
Step-by-step explanation:
Both lines are solid, so the only viable choices are those with "or equal to" in the comparison operators: the 2nd and 4th choices.
The line with a slope of +3 is shaded <u><em>above</em></u> the line, so that will correspond to the inequality ...
y ≥ 3x -1 . . . . . . . . . . found only in the 4th choice.
You're doing it exactly right! Keep on going! :)
