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Andrej [43]
3 years ago
8

Find the equation of a line that passes through the point (4,15) and is perpendicular to the equation below.

Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0
The answer is D because to find the slope of a line that is perpendicular to another, you have to find the opposite reciprocal. so here the slope would be -1/4. now, take that slope and put it into an equation. like the following:
y =  \frac{ - 1}{4} x + b
now to find b you must insert the points into the equation (plug in 4 for x, and 15 for y).
15 =  \frac{ - 1}{4} (4) + b
b then equals 16. so, the answer is D.
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Step-by-step explanation:

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The mass of radioactive material remaining after 50 years would be 48.79 kilograms

<h3>How to determine the amount</h3>

It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.

Given the radioactive decay formula as

m(t)=120e−0.018t

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m(t) = 120e^-^0^.^0^1^8^(^5^0^)

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m(t) = 48.788399

m(t) = 48.79 kilograms to 2 decimal places

Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms

Learn more about half-life here:

brainly.com/question/26148784

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2 years ago
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3 years ago
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Answer:

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Step-by-step explanation:

So, let us first fill in the gap in the question below. Note that the capitalized words are the words to be filled in the gap and the ones in brackets too.

"An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with EXACTLY ONE of the (0's) replaced with some number k. This means it is TRIANGULAR MATRIX, and so its determinant is the PRODUCT of its diagonal entries.​ Thus, the determinant of an elementary scaling matrix with k on the diagonal is (1).

Here, one of the zeros in the identity matrix will surely be replaced by one. That is to say, the determinants = 1 × 1 × 1 => 1. Thus, it is a a triangular matrix.

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3 years ago
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