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spin [16.1K]
3 years ago
13

For the following conditional, identify the converse and the truth value of the converse:

Mathematics
2 answers:
Yanka [14]3 years ago
8 0

Answer: The answer is (B)  If an angle has measure 90°, then it is a right angle.  True.

Step-by-step explanation:  The given conditional statement is

" If an angle is a right angle, then its measure is 90°."

We are to write the converse of the above conditional statement.

We know that if the statement is "If p, then q", then its converse will be "If q, then p".

So, the converse of our given statement will be

"If an angle has measure 90°, then it is a right angle."

Since this statement is always true, so the correct option is (B).

melamori03 [73]3 years ago
4 0
The answer to the question is B  
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ratelena [41]
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3 years ago
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Hoochie [10]

Answer:

1. The equation represent an exponential decay

2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)

Step-by-step explanation:

When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;

log a(t) = log(a₀) + x·log(1 + r)

Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;

log y = log(-3) + x·log(2.5)

Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation  represents an exponential decay.

The rate of the exponential decay is given by the following equation;

\frac{dy}{dx} =\frac{d(-3(2.5)^x)}{dx} = -\frac{d(3\cdot e^{x\cdot ln(2.5)})}{dx} = -3 \times 2.5^x\times ln(2.5)

Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)

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3 years ago
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Step-by-step explanation:

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