Answer:
51*pi or 160.221
Step-by-step explanation:
total volume = volume of a cone + volume of a cylinder
total volume = 1/3* pi*r^2* height(of cone) + pi* r^2 *height(of cylinder)
total volume = 1/3 * pi * 3^2 * 5 + pi * 3^2 * 4
total volume = 51*pi = 160.221
Answer:
Step 3, because the solution should also include all the values for x between the two given values
Step-by-step explanation:
step 1
we have
step 2
The graph in the given problem
step 3
Identify the solution when
so
using a graphing tool
The solution is the interval -----> [3,5]
see the attached figure
All real numbers greater than or equal to 3 and less than or equal to 5
therefore
The first step in which the student made an error is step 3
Answer:
k=-8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Function 1:
f(x) = -x² + 8(x-15)f(x) = -x² <span>+ 8x - 120
Function 2:
</span>f(x) = -x² + 4x+1
Taking derivative will find the highest point of the parabola, since the slope of the parabola at its maximum is 0, and the derivative will allow us to find that.
Function 1 derivative: -2x + 8 ⇒ -2x + 8 = 0 ⇒ - 2x = -8 ⇒ x = -8/-2 = 4
Function 2 derivative: -2x+4 ⇒ -2x + 4 = 0 ⇒ -2x = -4 ⇒ x = -4/-2 ⇒ x= 2
Function 1: f(x) = -x² <span>+ 8x - 120 ; x = 4
f(4) = -4</span>² + 8(4) - 120 = 16 + 32 - 120 = -72
<span>
Function 2: </span>f(x) = -x²<span> + 4x+1 ; x = 2
</span>f(2) = -2² + 4(2) + 1 = 4 + 8 + 1 = 13
Function 2 has the larger maximum.
76(1.0825) is 82.27. I hope this helps have a wonderful night!