Since ln(x) is the inverse of e^x and we want to find out when P(x)=1000, we will substitute P(x) by 1000 and then solve for x days.
1600e^0.3x = 1000
Divide 600 for both sides you will get:
5/3 = e^0.3x
Multiply ( ln ) for both sides and then divide by 0.3.
(ln 5/3)/(0.3) = x
x = 1.7
So there will be 1000 flies in approximately 1.7 days
"Given that he is male" is an important phrase here. The "given" in any probability problem is often important. This tells us "only focus on the males" because we know 100% that whoever we picked, the person is a male.
So we only focus on the "male" column. Use a highlighter to mark this column or cover up the other values if they are too distracting. There are 51 males total (bottom row) and 39 males had a flu shot (top row)
Divide the two values: 39/51 = (13*3)/(17*3) = 13/17
Answer: 13/17
Hi there!
A valley farmer has 26 employees and he pays each of them $410 per week.
After paying them for one week he has $162 dollars left. We need to find how much money he had at first.
So the first step is to multiply $410 on 26 since he gives 410 dollars to each employee, which he has 26.
$410 · 26 = $10,660
So he had $10,660 before he paid the workers, but he still had $162 left. To find out his overall total of money he had we need to add $10,660 and $162 which will be $10,822.
The farmer had $10,822
Hope this helped!~
Answer:
The new points after dilation are
(3/2, -3) and (9/2,-3)
Step-by-step explanation:
Here in this question, we want to give the new points of the line segment after it is dilated by a particular scale factor.
What is needed to be done here is to multiply the coordinates of the given line segment by the given scale factor.
Let’s call the positions on the line segment A and B.
Thus we have;
A = (1,-2) and B = (3,-2)
So by dilation, we multiply each of the specific data points by the scale factor and so we have;
A’ = (3/2, -3) and B’= (9/2,-3)
