Answer:
1800
Step-by-step explanation:
→ First of all we need to find the prime factorisation of the numbers.
18 = 2 × 3 × 3 or 2 × 3²
40 = 2 × 2 × 2 × 5 or 2³ × 5
75 = 3 × 5 × 5 or 5² × 3
→ Now find the number that appear twice or more and write them down
3 and 3 from 18
2, 2 and 2 from 40
5 and 5 from 75
→ Now multiply all of these numbers together
3 × 3 × 2 × 2 × 2 × 5 × 5 = 3² × 2³ × 5² = 1800
The volume of cone formula is 1/3 times pi times radius^2 times height. So in this case the formula which numbers substituted in would be 1/3 times pi times 8^2 times 12. The final answer would be 804.2477 and if rounded it would be 804.2 m^2
Answer:
Step-by-step explanation:
<u>Let the depreciation rate is x per year, then we have:</u>
- 28000*x² = 22000
- x² = 22000/28000
- x² = 0.7857
- x = √0.7857
- x = 0.8864
<u>Exponential function for this case is:</u>
- V(t) = 28000*0.8864^t, where V(t) - future value, t- number of years
<u>Value of the car after 3 years:</u>
- V(3) = 28000*0.8864^3
- V(3) = 19500
Solution
( − 2)(3 + 5)
Step-by-step solution:
Use the sum-product pattern
3x^2−−10
3^2+5−6x−10
Common factor from the two pairs
3^2+5−6−10
(3+5)−2(3+5)
Rewrite in factored form
(3+5)−2(3+5)
(−2)(3+5
hope this was good! <3
