<span>this word problem can be turned into the equation...
$10 * .955 + $10 = Final price</span>
Answer:
b) π /16 (1-1/e^2)
Step-by-step explanation:
For this case we have the following limits:
And we have semicircles perpendicular cross sections.
The area of interest is the enclosed on the picture attached.
So we are assuming that the diameter for any cross section on the region of interest have a diameter of
And then we can find the volume of a semicircular cross section with the following formula:
And for th volum we can integrate respect to x and the limits for x are from 0 to 1, so then the volume would be given by this:
And evaluating the integral using the fundamental theorem of calculus we got:
And then the best option would be:
b) π /16 (1-1/e^2)
US Penny dimensions are:
Diameter: 19 mm
Thickness: 1.52 mm ( according to the US mint )
1000 * 1.52 = 1,520 mm = 1.52 m = 1 m 52 cm
Answer:
A stack of 1000 pennies would be 1 m 52 cm tall.
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Solution
= − 3
11−11+35=3 11+24=3
11+24=311n+24=3n11n+24=3n11+24−24=3−24 1
Answer:
1. pounds (lb)
2. pints (pt)
3. teaspoon (tsp)
4. cups (c)
Step-by-step explanation:
<h3><u>US Standard Units</u></h3>
<u>Liquid</u>
- Fluid Ounces (fl oz)
- Cups (c)
- Pints (pt)
- Quarts (qt)
- Gallons (gal)
128 fl oz = 16 cups = 8 pints = 4 quarts = 1 gallon
<u>Mass</u>
- Ounces (oz)
- Pounds (lb)
- Tons (short ton)
32000 ounces = 2000 pounds = 1 ton
<h3><u>Solutions</u></h3>
1. The best US standard unit in which to measure pumpkin with a mass of 1.2 kg would be pounds (lb).
⇒ 1 kg ≈ 2.205 lb
⇒ 1.2 kg ≈ 1.2 × 2.205 = 2.65 lb
2. The best US standard unit in which to measure stock with a volume of 1.5 L would be pints (pt).
⇒ 1 L ≈ 2.133 pt
⇒ 1.5 L ≈ 1.5 × 2.113 = 3.17 pt
3. The best US standard unit in which to measure sugar of 5 mL would be teaspoon (tsp).
⇒ 5 mL = 5 g ≈ 1 teaspoon
4. The best US standard unit in which to measure yogurt with a volume of 0.25 L would be cups (c).
⇒ 1 L ≈ 4.167 c
⇒ 0.25 L ≈ 0.25 × 4.167 = 1.04 c