Answer:
See below in bold.
Step-by-step explanation:
1. The sequence is 1000, 2000, 4000, 8000.
2. The common ratio is 2000/1000 = 2.
3. Number of bacteria after 7 hours is 1000(2)^(7- 1)
= 64,000.
4. 1000(2)^(x-1) > 1,000,000
2^x-1 > 1000
x- 1 log 2 > log 10
x- 1 > 9.96
x > 10.96
During the 11th hour.
Answer:
5/8
Step-by-step explanation:
1/4 (2/2)=2/8
3/8 (already simplified)
2/8+3/8=5/8
Log5 x=4 logx 5
Ln x/ln5=4(ln5 / ln x) logx z=ln x / ln z
least common multiple=ln5 * ln x
ln²x=4ln²5
√(ln² x)=√(4 ln²5)
ln x=2ln 5
x=e^2ln5=25
Answer: x=25.
The decimal that is equal to 2/3 is...
0.66666666666
Hope this helps
Answer:
40,40 and 100
Step-by-step explanation:
You know the first two angles are identical, so let's call them x.
The third angle is 20 more than twice the measure of either angle, which means 2x+20.
The angles of a triangle add up to 180 degrees.
(x)+(x)+(2x+20)=180
4x+20=180
4x=160
x=40 degrees
This means the angle measures equal 40 degrees, 40 degrees, and 100 degrees.