Answer:
It will take 15.029 years for element X to reach mass of 260 grams
Step-by-step explanation:
The half life period of radioactive element X is 26 years
The initial mass of radioactive element X is 260 grams
Elapsed time = half life * log (beginning amount /ending amount)/log 2
Substituting the given values, we get
Elapsed time = 26 * log (390/260)/log 2
= 15.209 years
Answer:
10 miles
Step-by-step explanation:
d=√8²+6²=√100= 10 miles
Answer:
a. false
b. true
c. true
d. true
e. false
Step-by-step explanation:
a. False. The "unit rate" is 19.75 gallons per minute. The "unit" of a "unit rate" is in the denominator. Here, the denominator of the rate is 1 minute.
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b. True. A graph of a proportional relationship is a straight line through the origin.
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c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.
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d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.
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e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.
Answer:
4
Step-by-step explanation:
The side length would be 4, but I'm a bit confused on what the "Recall the Formula" portion is about. I'm sorry if this doesn't help
Answer:
x= -4
Step-by-step explanation:
Simplifying
5x + -4 = 7x + 4
Solving
-4 + 5x = 4 + 7x
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-4 + 5x + -7x = 4 + 7x + -7x
Combine like terms: 5x + -7x = -2x
-4 + -2x = 4 + 7x + -7x
Combine like terms: 7x + -7x = 0
-4 + -2x = 4 + 0
-4 + -2x = 4
Add '4' to each side of the equation.
-4 + 4 + -2x = 4 + 4
Combine like terms: -4 + 4 = 0
0 + -2x = 4 + 4
-2x = 4 + 4
Combine like terms: 4 + 4 = 8
-2x = 8
Divide each side by '-2'.
x = -4
Simplifying
x = -4
