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.
__
b. True. A graph of a proportional relationship is a straight line through the origin.
__
c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.
__
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.
__
e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.
<h3><u><em>Option B</em></u></h3><h3><u><em>The equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3</em></u></h3><h3><u><em /></u>
<u><em /></u></h3>
<em><u>Solution:</u></em>
<em><u>The equation of line in point slope form is given as:</u></em>
Where, "m" is the slope of line
Given that,
slope = 2/3
The line passes through (5, -3)
Substitute m = 2/3 and 
= (5, -3) in point slope form
Thus equation of line in point slope form is found
Hello!
First of all you look at how many X's the line moves by, in this case it is -3
Then you look at how many y's the line moves by, in this case it is -2
Then you add together the number of X's moved and the number of y's moved:
-3x + -2y
( adding a negative number is the same as subtracting that number)
thus the answer is A. -3x-2y
Hope This helps! :)
Factoring may be the easiest one
Answer:
14,146 years
Step-by-step explanation:
The annual multiplier is (1 -0.0049%) = 0.999951. We want to find the number of times this needs to be multiplied to make the product 1/2.
0.5 = 0.999951^t
log(0.5) = t·log(0.999951)
log(0.5)/log(0.999951) = t ≈ 14,145.514
The half-life is about 14,146 years.
