Answer:
Step-by-step explanation:
Total surface of the cube = 6a²
= 6 * 42 * 42
= 10584 cm²
Hole that is drilled out, will make a cylinder shape in the middle of the cube
Volume of iron in the cube = Volume of cube - volume of cylinder
Volume of cube = a³
= 42 * 42 * 42
= 74088 cm³
Cylinder:
r = 14/2 = 7 cm
h = sideof the cube = 42 cm
Volume = πr²h
= 6468 cm³
Volume of iron in the cube = Volume of cube - volume of cylinder
= 74088 - 6468
= 67620 cm³
Answer:
See below
Step-by-step explanation:
<h3>Given</h3>
- Initial population at 8:00 AM
- 3000000
- Growth rate = 10% = 1.1 times per 20 min
<h3>Solution</h3>
<u>1. Table</u>
<em>Note. I am not sure what are the last 3 rows. Just added next 3 terms.</em>
- 8:00 ≡ G(0) ≡ 3000000 ≡ 3000000
- 8:20 ≡ G(1) ≡ 3000000 *1.1 ≡ 3300000
- 8:40 ≡ G(2) ≡ 3000000 *1.1^2 ≡ 3630000
- 9:00 ≡ G(3) ≡ 3000000 *1.1^3 ≡ 3993000
- 9:20 ≡ G(4) ≡ 3000000 *1.1^4 ≡ 4392300
<u>2. Population at 10:00</u>
- Time passed since 8:00 is 2 hours = 2*3*20 min = 6* 20 min
- Population = 3000000*1.1^6 = 5314683
<u>3. Function to reflect the population growth</u>
- G(x) = 3000000*1.1^x
- G(x) - is dependent variable, population of bacteria
- x - is independent variable, time increment of 20 min
<u>4. Population after 5 hours</u>
- 5 hours = 5*3*20 min = 15*20 min
- G(15) = 3000000*1.1^15 ≈ 12531745
Answer:
13
Step-by-step explanation:
5 has been added by the 21 to make 27 to leave with adding 5 to old y and leaving the new variable y 13
Pretty sure you just scale it down 4 times
(Because 20/4=5cm)
Answer:
f(3x)= 3x+5/6x+2
substitute the value of X in the given question.
if u want simplified form then u can try rationalising.
