Y= 4(sin(3x)-cos(2x))
y = 5sin(x-1)
Answer:
(A) 3+0.25x and (B) 0.25x+3
Step-by-step explanation:
Assuming t is a time unit.
The initial amount is when t = 0, so it is 9.8 * 1 = 9.8. The growth rate is how much the amount goes up by for every increase of 1 in t. This is 1.35 because that is the part being affected by t. we plug in 0 for t to get 9.8 as the initial amount. The growth rate is just 135% factor, or 35% more each time, because 1.35 is the base of the exponent.
After 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.
<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 know the decay can be as:
We have:
a = 470 grams
r = 3% = 0.03
t = 6 hours
C = 391.49 grams
Thus, after 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.
Learn more about the exponential decay here:
brainly.com/question/14355665
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Answer:
A. 90 degrees clockwise rotation
Step-by-step explanation:
Of we have a coordinate axis (x,y), if this axis is rotated 90° clock wide, the resulting coordinate of the pre-image will be the coordinate (y -x). Note that the coordinates was swapped and then the new y coordinate negated.
Given the coordinate K(24, -15). If we rotate this clockwisely, first we swap the coordinate axis to have (-15, 24)
Them we will negate the new y coordinate axis to have;
K'(-15, -24)
Therefore the correct answer is 90° clockwise rotation.
