Answer:
z= 6
Step-by-step explanation:
You check it by plugging the value, z, into the equation.
11(6)-5=9(6)+7
61=61
For the answer to the question above,
<span>g(f(x)) = (4x^2 + x + 1)^2 - 2 </span>
<span>g(f(x)) = (16x^4 + 4x^3 + 4x^2 + 4x^3 + x^2 + x + 4x^2 + x + 1) - 2 </span>
<span>g(f(x)) = 16x^2 + 8x^3 + 9x^2 + 2x + 1 - 2 </span>
<span>g(f(x)) = 16x^2 + 8x^3 + 9x^2 + 2x - 1
I hope my answer helped you. Feel free to ask more questions. Have a nice day!</span>
Slope: 7 given point: (1,8)
y = 7x + b step 1 - plug in the slope in the formula
8 = 7(1) + b step 2 - plug in the given point
8 = 7 + b step 3 - simplify the expression
b = 1 step 4 - solve for b
y = 7x + 1 step 5 - plug in b
formula: y = 7x + 1
Full Question
A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass—spring system is disturbed from its rest state by the force F (t) = 20 cos(8t). The force F (t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.
Determine the spring constant k.
Answer:
Spring Constant = 1000Nm^-1
Step-by-step explanation:
Given
Mass = 10kg
Spring Extension = 9.8cm
Spring Constant K = Force/Extension
Force = Mass * Acceleration
Force = 10 * 9.8 = 9.8N
Spring Extension = 9.8 cm = 9.8 /100 = 0.098 m
Spring constant = 98 / 0.098
Spring Constant = 1000Nm^-1
What we know is that a 6 foot tall tent casts a 15 foot shadow. Lets represent that given this way: 6 = 15
So, the unknown (y), or what we want to know, is how tall the cardboard box if it has a 6 foot long shadow (noticeably the same height as the tent):
y = 6
6 = 15
y = 6
(6 x 6) / 15 = y
36 / 15 = y
2.4 = y
The height of the cardboard box is 2.4 feet.
