Answer:
The area is approximately 1256.64 The circumference is approximately 125.66
Step-by-step explanation:
This is because to find the area of a circle you square the radius and multiply by Pi. To find circumference, you can multiply the Diameter (twice radius) by Pi.
Answer:
192 cm^3/min
Step-by-step explanation:
Differentiating the volume expression, we get ...
dV/dt = 2xh(dx/dt) +x^2(dh/dt)
We are given that ...
x = 4 cm, dx/dt = 2 cm/min, h = 15 cm, dh/dt = -3 cm/min
Putting these values into the formula for volume rate of change, we get ...
dV/dt = 2(4 cm)(15 cm)(2 cm/min) +(4 cm)^2(-3 cm/min)
= 240 cm^3/min -48 cm^3/min
dV/dt = 192 cm^3/min
Answer:
B) 4,320
Step-by-step explanation:
You would first find the volume of the triangular prism using this formula:
V = 1/2 x A x C x H
A = 3 C = 6 H = 24
V = 1/2 x 3 x 6 x 24 = 216 cubic feet
Since there are 20 pounds of snow per cubic foot, you multiply the cubic feet (216) by the pounds of snow per cubic foot (20):
216 x 20 = 4,320 pounds
Answer:
f(5) = 13
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Function notation and substitution
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 12
x = 5
<u>Step 2: Evaluate</u>
- Substitute: f(5) = 5² - 12
- Exponents: f(5) = 25 - 12
- Subtract: f(5) = 13
