Answer:
y = 4
Step-by-step explanation:
Given the equation of the line, y = 6, passing through point (3, 4):
By definition, parallel lines have the <u>same slope</u>.
The linear equation, y = 6 is a horizontal line with a zero slope. Therefore, the parallel line must also have the same slope = 0.
Plug the given values from the point (3, 4) into the slope-intercept form:
y = mx + b
where: y = 4, m = 0, and x = 3. We need to solve for the y-intercept, b:
y = mx + b
4 = 0(3) + b
4 = 0 + b
4 = b
Therefore, the y-intercept is (0, 4).
For horizontal lines, the y-coordinate = 4 stays the same, while having different x-coordinates.
Therefore, the equation that is parallel to y = 6 is y = 4.
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Answer:
the answer is 600,000
Step-by-step explanation:
the 9 in the ten thousandth place gets rounded hire to 600,000
Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:
Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:
After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:
Solve for A. Simplify:
Simplify:
Thus, the initial mass of the sample was:
5 weeks is equivalent to 35 days. Therefore, we can find P(35):
About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.
Answer:
6^8
Step-by-step explanation:
6^4 * 6^4
We know that a^b* a^c = a^(b+c)
6^4×6^4 = 6^(4+4) = 6^8
