Answer:
6 1/10
Step-by-step explanation:
Convert the mixed numbers into improper fractions (denominator × whole number + numerator / denominator):
9 2/5 = 47/5
3 3/10 = 33/10
Convert improper fractions to have the same denominator:
47/5 × 2/2 = 94/10
Find the difference by subtracting the numerators:
94/10 - 33/10 = 61/10
Convert the answer into a mixed number:
61/10 = 6 1/10
For part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.
<h3>What is exponential decay?</h3>
During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an equation for radioactive decay:
a) Plug t = 0
m(0) = 400 grams
b) plug t = 20 years
After solving:
m(20) = 198.63 grams
c) Plug m(t) = m(0)/2 = 400/2 = 200 grams
x = 19.80 years ≈ 20 years
Thus, for part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.
Learn more about the exponential decay here:
brainly.com/question/14355665
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Answer:
x ≥ 1
Step-by-step explanation:
Solve the inequality by solving for x.
Solve:
-4(2x + 1) ≤ 3(x - 5)
Use the distributive property.
-8x - 4 ≤ 3(x - 5)
-8x - 4 ≤ 3x - 15
Subtract 3x from both sides.
-11x - 4 ≤ -15
Add 4 to both sides.
-11x ≤ -11
Divide both sides by -11, also flip the inequality since you're dividing by a negative number.
x ≥ 1
Your final answer would be x ≥ 1
The greater than sign is what makes it true because a positive number is always greater than a negative number.
7.1 > -7.1
Sadly the answer has to be at least 20 characters long so I have to say this so I can give you the answer which is 14
