Answer: 11/23
Step-by-step explanation:
I used my calculator to convert those fractions into decimal form and found the biggest number. It was about 0.4789.
Answer:
75 times.
Step-by-step explanation:
Well there are 12 months and 3 of them start with the letter J, so theoretically, 25% of the months chosen will start with the letter J because
, which is 25%. 25% of 300 (or
, for those who like fractions) is 75, so theoretically, we can expect a month that starts with the letter J 75 times.
Hope this helps!
<em>P.S: </em><u><em>Please mark me as brainliest!</em></u>
Answer:
The explanation is on top x=10
Answer:
a.) 4 half lives have passed
b) 9.388 minutes
Step-by-step explanation:
Formula for exponential growth / decay is given as:

Where
is the final population
is the initial population
is the growth factor
is the time taken for the growth 'b'
is the amount of time
Here, we are given that:
= 6. 9 grams
= 110.4 grams

min
To find:
a.) Number of half lives taken for the decay.
b.) Total time in the decay.
Solution:
a.) Number of half lives taken for the decay is nothing but equal to
.
Putting the values in the formula, we get:

Therefore, the answer is:
<em>4 half lives </em>have passed.
b.) Total time of decay. We have to find the value of
here.
From answer of part a.):

Answer:
3.) 0.894
Step-by-step explanation:
✔️First, find BD using Pythagorean Theorem:
BD² = BC² - DC²
BC = 17.89
DC = 16
Plug in the values
BD² = 17.89² - 16²
BD² = 64.0521
BD = √64.0521
BD = 8.0 (nearest tenth)
✔️Next, find AD using the right triangle altitude theorem:
BD = √(AD*DC)
Plug in the values into the equation
8 = √(AD*16)
Square both sides
8² = AD*16
64 = AD*16
Divide both sides by 16
4 = AD
AD = 4
✔️Find AB using Pythagorean Theorem:
AB = √(BD² + AD²)
AB = √(8² + 4²)
AB = √(64 + 16)
AB = √(80)
AB = 8.9 (nearest tenth)
✔️Find sin x using trigonometric ratio formula:
Reference angle = x
Opposite side = BD = 8
Hypotenuse = AB = 8.944
Thus:
(nearest thousandth)