Answer: Our required equation would be 
Step-by-step explanation:
Since we have given that
Amount that Anderson earns per hour = $6
According to question, Anderson earns $1 more than half of Carey's hourly rate.
Let the hourly rate of Carey be 'c'.
So, it becomes,

And the value of c would be

Hence, our required equation would be 
First of all there are multiple formula's to get the volume of a trapezoidal prism:
V=(1/2 * (base1 + base2) * h) * height prism
Using the numbers you gave:
base1 = 7 base2 = 5 h = 4 height prism = 8
Putting this into the equation: V=(1/2 * (7 <span>+ 5) * 4) * 8
V= (1/2 * 12 * 4) * 8
V = 24 * 8
V = 192
The volume of the gift box is 191 inches squared.</span>
Answer:
22ft
Step-by-step explanation:
Length or ribbon = Circumference of the circle
C = 2πr
C = 2π(3.5)
C = 21.99
Answer:
170℅×16
=27.2
hope it helps you
make me brainliest...... :)
Answer:
See the explanation
Step-by-step explanation:
We know that
f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x
Lets calculate the derivatives:
f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)
f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x
Similarly:
f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x
f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x
Rearrange:
f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24
f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x
Rearrange:
f''''(x) = 720x² + (24/x⁵) - 16sin2x +72