The angle at vertex D is acute.
The angle at vertex F is obtuse.
Triangle DEF is a right triangle.
The angle at vertex D is obtuse.
Answer:
In other words, A, D.
Step-by-step explanation:
Answer:
560 mSv of radiation
Step-by-step explanation:
To calculate how much radiation Karissa has built up over 14 days, we need to first calculate the amount of potassium in her bones after 14 days. We can do this using the function f(x):
where x is the amount of time in days, and f(x) is the amount of potassium in Karissa's bones in milligrams.
To calculate the amount of potassium in Karissa's bones after 14 days, we would simply substitute x = 14 into the function:
f(14) = 400 × 14 × 422
f(14) = 2363200 milligrams
Now that we know how much potassium is in Karissa's bones, we can calculate how much radiation she has built up.
We know that there is 0.1 mSv of radiation per 422 milligrams of potassium, so we can simply multiply the amount of potassium in Karissa's bones by 0.1 mSv/422 mg to calculate the amount of radiation she has built up:
Therefore, Karissa has built up 560 mSv of radiation over 14 days.
Step-by-step explanation:
Substituting x = 14, we have f(14) = (400)(14)(422) = 2,363,200 mg of Potassium accumulated.
This is equivalent to (2363200)(0.1/422) = 560 mSv of radiation.
5:7
Step-by-step explanation:
To simplify the ratio 25:35, you can divide both numbers by their greatest common divisor (GCD). In this case, the GCD of 25 and 35 is 5. So, dividing both numbers by 5 gives us the simplified ratio: 5:7.
Answer:
25:35 or 25/35 = 5/7 or 5:7
Step-by-step explanation:
1. Start with the ratio 25:35.
2. Find the HCF of 25 and 35. The HCFof 25 and 35 is 5.
3. Divide both numbers in the ratio by the HCF.
25 ÷ 5 = 5
35 ÷ 5 = 7
4. The simplified ratio is 5:7.
Therefore, the simplified form of the ratio 25:35 is 5:7.
The probability of picking a green jelly bean with the first pick is 4/14 = 2/7, because there are 14 jelly bean in total (6 red + 4 green + 4 blue) and 4 of them are green.
If you pick a green jelly bean at the beginning, you have 13 jelly beans remaining, of which 6 are red. So, the probability of picking a red jelly bean is now 6/13.
You want these two events to happen one after the other, to be more precise you want to pick a green jelly bean with the first pick AND a red jelly bean with the second pick. We know the probabilities of the two events, so we have to multiply them to get the probability of them happening both: