Answer:
sinY =
Step-by-step explanation:
sinY = = =
F=ir^t, f=final amount, i=initial amount, r=common ration or "rate", t=times common ration is applied or "time", in this case:
1200=1000r^2 divide both sides by 1000
1.2=r^2 take the square root of both sides
1.2^(1/2)=r so the equation is:
f=1000(1.2)^(t/2), so in 13 hours
f=1000(1.2)^(13/2)
f=1000(1.2)^(6.5)
f≈3271 bacteria (to the nearest whole number)
Answer:
The measure of the indicated angles is 62°.
Reason: vertical angles
Answer:
When we rotate a point A(1, 4) 180 degrees counterclockwise about the origin, the coordinates of point A(1, 4) transformed to A'(-1, -4).
Step-by-step explanation:
We know that 180 Degree Rotation.
We know that when we rotate a point, let say P(x, y), 180 degrees counterclockwise about the origin, the coordinates of point P(x, y) transformed to P'(-x, -y).
In other words, the sign of both x and y coordinates are reversed.
Thus, the rule is:
P(x, y) → P'(-x, -y)
Given the point (1, 4)
P(x, y) → P'(-x, -y)
A(1, 4) → A'(-1, -4)
Thus, when we rotate a point A(1, 4) 180 degrees counterclockwise about the origin, the coordinates of point A(1, 4) transformed to A'(-1, -4).
The slope-intercept form:
y = mx + b
m - slope
b - y-intercept
We have the line y = 3x - 4.
The parallel lines have the same slope. Therefore we have y = 3x + b.
Put the coordinates of the point (3, 2) to the equation:
2 = 3(3) + b
2 = 9 + b <em>subtract 9 from both sides</em>
-7 = b → b = -7
<h3>Answer: y = 3x - 7</h3>