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.
It is the first statement. It is positive two, so it’s above sea level. We can immediately get rid of the last two statements. Then, it is negative 20. The is 18 feet below sea level, because 2-20 is -18. Positive 8 shows rising up by 8 feet. The correct statement is the first one.
B. 30 petals
there is a pattern.
Answer: No, she does not have enough.
Step-by-step explanation:
1. You have the following information given in the problem above:
- The measures of the three pieces are: 32 centimeters, 41.19 centimeters and 57.8 centimeters long.
- She need 200 centimeters of ribbon for the box.
2. Therefore, you must add the measures given in the problem to know if Marie has enough ribbon to decorate the gift box. Then:
![32cm+41.19cm+57.8cm=130.99cm](https://tex.z-dn.net/?f=32cm%2B41.19cm%2B57.8cm%3D130.99cm)
3. As you can see:
130.99 cm<200 cm
Therefore, she does not have enough ribbon.
Answer: ![1 \frac{3}{16}\ lb](https://tex.z-dn.net/?f=1%20%5Cfrac%7B3%7D%7B16%7D%5C%20lb)
Step-by-step explanation:
You know that Sara has 8 ounces of vanilla yogurt in her cup and her father’s yogurt weighs 11 ounces. Then, the total ounces of frozen yogurt they buy altogether is:
![total_{(ounces)}=8\ oz+11\ oz\\\\total_{(ounces)}=19\ oz](https://tex.z-dn.net/?f=total_%7B%28ounces%29%7D%3D8%5C%20oz%2B11%5C%20oz%5C%5C%5C%5Ctotal_%7B%28ounces%29%7D%3D19%5C%20oz)
The next step is to make the conversion from ounces to pounds.
You need to remember that:
![1\ lb=16\ oz](https://tex.z-dn.net/?f=1%5C%20lb%3D16%5C%20oz)
Therefore:
![total_{(pounds)}=(19\ oz)(\frac{1\ lb}{16\ oz})=\frac{19}{16}\ lb](https://tex.z-dn.net/?f=total_%7B%28pounds%29%7D%3D%2819%5C%20oz%29%28%5Cfrac%7B1%5C%20lb%7D%7B16%5C%20oz%7D%29%3D%5Cfrac%7B19%7D%7B16%7D%5C%20lb)
This result expressed as a mixed number, is:
![total_{(pounds)}=1\frac{3}{16}\ lb](https://tex.z-dn.net/?f=total_%7B%28pounds%29%7D%3D1%5Cfrac%7B3%7D%7B16%7D%5C%20lb)