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vodka [1.7K]
2 years ago
14

Find the mass at time t=0. ANSWER HAS TO BE IN GRAMS

Mathematics
1 answer:
777dan777 [17]2 years ago
3 0

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:

\rm m(t) = 400e^{-0.035t}

a) Plug t = 0

\rm m(0) = 400e^{-0.035\times 0}

m(0) = 400 grams

b) plug t = 20 years

\rm m(20) = 400e^{-0.035\times 20}

After solving:

m(20) = 198.63 grams

c) Plug m(t) = m(0)/2 = 400/2 = 200 grams

\rm 200 = 400e^{-0.035t}

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

#SPJ1

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Answer:

3x=4x-9(By CPCT)

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5 0
2 years ago
Given that A and B are true and X and Y are false, determine the truth value of the following proposition: ~[(A ⊃ Y) v ~(X ⊃ B)]
Anni [7]

Answer:

The value of the proposition is FALSE

Step-by-step explanation:

~[(A ⊃ Y) v ~(X ⊃ B)] ⋅ [~(A ≡ ~X) v (B ⊃ X)]

Let's start with the smallest part: ~X. The symbol ~ is negation when X is true with the negation is false and vice-versa. In this case, ~X is true (T)

~[(A ⊃ Y) v ~(X ⊃ B)] ⋅ [~(A ≡ T) v (B ⊃ X)]

Now the parts inside parenthesis:  (A ⊃ Y),(X ⊃ B),(A ≡ T) and (B ⊃ X). The symbol ⊃ is the conditional and A ⊃ Y is false when Y is false and A is true, in any other case is true. The symbol ≡ is the biconditional and A ≡ Y is true when both A and Y are true or when both are false.

(A ⊃ Y) is False (F)

(X ⊃ B) is True (T)

(A ≡ T) is True (T)

(B ⊃ X) is False (F)

~[(F) v ~(T)] ⋅ [~(T) v (F)]

The two negations inside the brackets must be taken into account:

~[(F) v F] ⋅ [F v (F)]

The symbol left inside the brackets v is the disjunction, and A v Y is false only  with both are false. F v (F) is False.

~[F] ⋅ [F]

Again considerating the negation:

T⋅ [F]

Finally, the symbol ⋅ is the conjunction, and A v Y is true only with both are true.

T⋅ [F] is False.

5 0
2 years ago
Let's find the unknown variables in the following cases. ) (a) If C.P. Rs 150 and profit = Rs 12, find profit percent​
vivado [14]

Answer:

solution,                                                                                                                                     cp=Rs150                                                                                                                                        profit=Rs12                                                                                                                              Now,                                                                                                                                                   profit percent=profit% of cp                                                                                              or,profit percent=12/100 x Rs150                                                                                                Therefore,profit percent =18%

Step-by-step explanation:

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2 years ago
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Wouldn't you do 18.20 divide that by .65 & get 28. So the tool was used for 28 minutes
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3 years ago
Which set of side length is a Pythagorean triple? A. 2,3,13 b. 5,7,12 C. 10, 24, 29 D. 11,60,61
topjm [15]

Answer:

B. 5,7,12 is what I got.

5 0
3 years ago
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