Answer:
All real numbers greater than -3
Step-by-step explanation:
The domain of a log is the baseline is greater than 0.
Set x + 3 greater than zero and solve
x + 3 > 0
x > -3
Answer:
279 silvery minnow
Step-by-step explanation:
Number of Silvery Minnows initially tagged = 54
Number of minnows captured = 62
Number of tagged minnows in captured ones = 12
Remember that in the very beginning there were no tagged minnows. 54 minnows were captured, tagged and released. This means, there are total 54 tagged minnows in the entire population. Lets say there are x number of minnows in total.
So, in x minnows, 54 are tagged ones.
When 62 minnows are captured, only 12 are tagged ones and remaining are un-tagged. Since, the minnows were randomly captured, we can develop a proportion from this case to estimate the total population of minnows in the Rio Grande River.
Ratio of tagged minnows to total population must be equal to the ratio of captured tagged minnows in total captured minnows.
i.e.
This means, there were 279 silvery minnows in the Rio Grande River.
Answer:
Monthly household expenditures on groceries
Step-by-step explanation:
The response variable is the one for which measurements are desired and that depends on other variables.
In this case, family size, household income, and household neighborhood are independent variables, while the response variable is the monthly household expenditures on groceries.
Answer:
a.
x + y = 60
x = y + 30
b.
substitution:
(y + 30) = y = 60
2y + 30 = 60
2y = 30
y = 15
15 minutes for freehand
c.
No, because if he spends 40 minutes on the treadmill, he would have spent 10 minutes for freehand exercises. His total time in the gym would be 50 minutes, not 60.
We can solve for the distance between Geocity to Shapetown using the formula for the distance between two points which is shown below:
d² = (x2-x1)²+(y2-y1)²
Such as we have two points:
Geocity (5,8)
Shapetown (11,16)
Solving for the distance, we have:
d² = (11-5)² + (16-8)²
d² = 6² + 8²
d = 10
The answer is 10 units.
