Answer:
There are 2,000 grams left after 300 years.
Step-by-step explanation:
Giving the following information:
The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially.
<u>First, we need to calculate the reduction of the substance each year:</u>
Yearly reduction= 8,000/400= 20 grams per year
<u>Now, for 300 years:</u>
300 year reduction= 20*300= 6,000
There are 2,000 grams left after 300 years.
Answer:
G = (9.4, 9,4)
Step-by-step explanation:
The ratio is applied in the x-distance and the y-distance. The ratio is 2:3 so you have to divide the distances by 5 and 2/5 correspond to FG and 3/5 to GH
x-distance:
x2 - x1 = 16 - 5 = 11
11/5 = 2.2
y-distance:
y2 - y1 = 13 - 7 = 6
6/5 = 1.2
Point G = Point F + (2.2*2, 1.2*2)
Point G = (5, 7) + (4.4, 2.4)
= (9.4, 9.4)
X^2 2x + 1 = (x + 1)^2
x is replaced by x + 1
the translation is 1 unit to the left
Answer:
s(x) = (x - 3)^2 - 2
Step-by-step explanation:
q(x) = x^2 becomes r(x) = (x - 3)^2 after a 3-units-to-the-right translation.
This, in turn, becomes s(x) = (x - 3)^2 - 2, after a 2-units-down translation.
Next time, please share the answer choices. Thank you.
Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and line n is a transversal intersecting parallel lines.
Since, m∠2 = m∠4 = 118° [Given]
m∠2 = m∠6 = 118° [Corresponding angles]
m∠4 = m∠8 = 118° [Corresponding angles]
m∠1 + m∠2 = 180° [Linear pair of angles]
m∠1 = 180° - 118° = 62°
m∠1 = m∠5 = 62° [Corresponding angles]
m∠3 = m∠1 = 62° [Corresponding angles]
m∠7 = m∠5 = 62° [Corresponding angles]
